[ { "paper": "2030152922", "venue": "414566", "year": "2001", "title": "exploiting image indexing techniques in dct domain", "label": [ "198751489", "12043971", "63099799", "189391414", "199579030", "2221639" ], "author": [ "2147008306", "2078185004", "2951164075" ], "reference": [ "1490482062", "1654865708", "1831185418", "1836615145", "1972677626", "1975830550", "1980719651", "1988445395", "1997221133", "1999071442", "2013322428", "2021751319", "2024552249", "2031264859", "2031586513", "2070883983", "2080536773", "2099381966", "2102869995", "2112693338", "2114282035", "2125148312", "2136113976", "2159498975", "2159790397", "2168977926", "2476824930", "2914885528" ], "abstract": "abstract this paper is concerned with the indexing and retrieval of images based on features extracted directly from the jpeg discrete cosine transform dct domain we examine possible ways of manipulating dct coefficients by standard image analysis approaches to describe image shape texture and color through the mandala transformation our approach groups a subset of dct coefficients to form ten blocks each block represents a particular frequency content of the original image two blocks are used to model rough object shape nine blocks to describe subband properties and one block to compute color distribution as a result the amount of data used for processing and analysis is significantly reduced this can lead to simple yet efficient ways of indexing and retrieval in a large scale image database experimental results show that our proposed approach offers superior indexing speed without significantly sacrificing the retrieval accuracy", "title_raw": "Exploiting image indexing techniques in DCT domain", "abstract_raw": "Abstract This paper is concerned with the indexing and retrieval of images based on features extracted directly from the JPEG discrete cosine transform (DCT) domain. We examine possible ways of manipulating DCT coefficients by standard image analysis approaches to describe image shape, texture, and color. Through the Mandala transformation, our approach groups a subset of DCT coefficients to form ten blocks. Each block represents a particular frequency content of the original image. Two blocks are used to model rough object shape; nine blocks to describe subband properties; and one block to compute color distribution. As a result, the amount of data used for processing and analysis is significantly reduced. This can lead to simple yet efficient ways of indexing and retrieval in a large-scale image database. Experimental results show that our proposed approach offers superior indexing speed without significantly sacrificing the retrieval accuracy." }, { "paper": "2017550990", "venue": "79244937", "year": "2001", "title": "on multivariate p adic q integrals", "label": [ "161584116", "42337464", "118615104", "146507449", "82240120" ], "author": [ "2099505712", "2096483341", "2289077297" ], "reference": [ "18783379", "149541213", "634677269", "1484644522", "1654703019", "2493480674" ], "abstract": "by using multiple p adic q integrals we define the p adic q l function in n variables and the q extension of p adic log multiple gamma functions from these definitions we show that the values of the p adic q l function at positive integers can be expressed in terms of the q extension of p adic log multiple gamma functions", "title_raw": "On multivariate p-adic q-integrals", "abstract_raw": "By using multiple p-adic q-integrals, we define the p-adic q-L-function in n-variables and the q-extension of p-adic log multiple gamma functions. From these definitions, we show that the values of the p-adic q-L-function at positive integers can be expressed in terms of the q-extension of p-adic log multiple gamma functions." }, { "paper": "2014808379", "venue": "159544283", "year": "2001", "title": "on stein s equation vandermonde matrices and fisher s information matrix of time series processes part i the autoregressive moving average process", "label": [ "28826006", "159877910", "74883015", "121152540", "158693339", "175706884", "47285271", "55294529", "33577790", "29406490" ], "author": [ "2156996423", "1987757004" ], "reference": [ "1538005160", "1551112541", "1554050285", "1600349401", "1982099893", "2029108136", "2095435719", "2100247733", "2169354510", "2904241843" ], "abstract": "abstract this paper introduces several forms of relationships between fisher s information matrix of an autoregressive moving average or arma process and the solution of a corresponding stein equation fisher s information matrix consists of blocks associated with the autoregressive and moving average parameters an interconnection with a solution of stein s equation is set forth for the block case as well as for fisher s information matrix as a global matrix involving all parameter blocks both cases have their importance for the interpretation of the estimated parameters the cases of distinct and multiple eigenvalues are addressed the obtained links involve equations with left and right inverses these can be expressed in terms of the inverse of appropriate vandermonde matrices a condition is set forth for establishing an equality between fisher s information matrix and a solution to stein s equation two examples are presented for illustrating some of the results obtained the global and off diagonal block case with distinct and multiple roots respectively are considered", "title_raw": "On Stein's equation, Vandermonde matrices and Fisher's information matrix of time series processes. Part I: The autoregressive moving average process", "abstract_raw": "Abstract This paper introduces several forms of relationships between Fisher's information matrix of an autoregressive-moving average or ARMA process and the solution of a corresponding Stein equation. Fisher's information matrix consists of blocks associated with the autoregressive and moving average parameters. An interconnection with a solution of Stein's equation is set forth for the block case as well as for Fisher's information matrix as a global matrix involving all parameter blocks. Both cases have their importance for the interpretation of the estimated parameters. The cases of distinct and multiple eigenvalues are addressed. The obtained links involve equations with left and right inverses, these can be expressed in terms of the inverse of appropriate Vandermonde matrices. A condition is set forth for establishing an equality between Fisher's information matrix and a solution to Stein's equation. Two examples are presented for illustrating some of the results obtained. The global and off-diagonal block case with distinct and multiple roots, respectively, are considered." }, { "paper": "1988500952", "venue": "50372074", "year": "2001", "title": "solving delay differential equations using componentwise partitioning by runge kutta method", "label": [ "147504518", "186429297", "85189116", "134306372", "159694833", "181582579", "113313756", "78045399", "77346573" ], "author": [ "2155660015", "2601012136" ], "reference": [ "99790034", "130803118", "1273677082", "1964390829", "1987456624", "1998868738", "2015736664", "2029327950", "2036663938", "2047347911", "2055140734", "2058603811", "2338356474" ], "abstract": "embedded singly diagonally implicit runge kutta sdirk method is used to solve stiff systems of delay differential equations ddes the delay argument is approximated using hermite interpolation initially the whole system is considered as nonstiff and solved using simple iteration when stiffness is indicated the appropriate equation is placed into the stiff subsystem and solved using newton iteration this type of partitioning is called componentwise partitioning the process is continued until all the equations have been placed in the right subsystem numerical results based on componentwise partitioning and intervalwise partitioning are tabulated and compared", "title_raw": "Solving delay differential equations using componentwise partitioning by Runge-Kutta method", "abstract_raw": "Embedded singly diagonally implicit Runge-Kutta (SDIRK) method is used to solve stiff systems of delay differential equations (DDEs). The delay argument is approximated using Hermite interpolation. Initially the whole system is considered as nonstiff and solved using simple iteration. When stiffness is indicated, the appropriate equation is placed into the stiff subsystem and solved using Newton iteration. This type of partitioning is called componentwise partitioning. The process is continued until all the equations have been placed in the right subsystem. Numerical results based on componentwise partitioning and intervalwise partitioning are tabulated and compared." }, { "paper": "2027181737", "venue": "102439543", "year": "2001", "title": "the euler approximation in state constrained optimal control", "label": [ "73684929", "768646", "55689738", "91575142", "134306372", "75380026", "34388435", "93082080", "73000952" ], "author": [ "2045692484", "2043048420" ], "reference": [ "613218979", "1492326914", "1530205816", "1537335979", "1623487976", "1965189050", "1967163105", "1979468610", "1982019931", "1984853717", "1999061034", "2003281007", "2005205022", "2010533236", "2013815604", "2018816843", "2027472105", "2031291057", "2035273811", "2041523977", "2044355921", "2046579268", "2049069909", "2051373638", "2052520551", "2052551315", "2056085001", "2064101518", "2071252425", "2071919362", "2072235453", "2072447965", "2077019585", "2083611635", "2088809818", "2169047022", "2325328284", "2610511054", "2798766386" ], "abstract": "we analyze the euler approximation to a state constrained control problem we show that if the active constraints satisfy an independence condition and the lagrangian satisfies a coercivity condition then locally there exists a solution to the euler discretization and the error is bounded by a constant times the mesh size the proof couples recent stability results for state constrained control problems with results established here on discrete time regularity the analysis utilizes mappings of the discrete variables into continuous spaces where classical finite element estimates can be invoked", "title_raw": "The Euler approximation in state constrained optimal control", "abstract_raw": "We analyze the Euler approximation to a state constrained control problem. We show that if the active constraints satisfy an independence condition and the Lagrangian satisfies a coercivity condition, then locally there exists a solution to the Euler discretization, and the error is bounded by a constant times the mesh size. The proof couples recent stability results for state constrained control problems with results established here on discrete-time regularity. The analysis utilizes mappings of the discrete variables into continuous spaces where classical finite element estimates can be invoked." }, { "paper": "2106301605", "venue": "159544283", "year": "2001", "title": "analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations", "label": [ "158693339", "134306372", "78045399", "135628077", "2126413", "137127113", "114609681", "182310444", "7356347" ], "author": [ "2109137870", "2570455062" ], "reference": [ "577962163", "1495000229", "1978383541", "1992310041", "2014992827", "2018019262", "2028564901", "2039406708", "2041231713", "2046703156", "2082654485", "2086296535" ], "abstract": "abstract in the work of solving a uniformly elliptic differential equations au u a 1 u x a 2 u y a 0 u f in the unit square with boundary conditions by the c 1 cubic spline collocation method one may need to investigate efficient preconditioning techniques for this purpose using the generalized field of values argument we show the uniform bounds of the eigenvalues of the preconditioned matrix when a full finite element preconditioning is considered", "title_raw": "Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations", "abstract_raw": "Abstract In the work of solving a uniformly elliptic differential equations Au:=\u2212\u0394u+a 1 u x +a 2 u y +a 0 u=f in the unit square with boundary conditions by the C 1 -cubic spline collocation method, one may need to investigate efficient preconditioning techniques. For this purpose, using the generalized field of values argument, we show the uniform bounds of the eigenvalues of the preconditioned matrix when a full finite element preconditioning is considered." }, { "paper": "1980470866", "venue": "62223294", "year": "2001", "title": "trace expansions and the noncommutative residue for manifolds with boundary", "label": [ "68797384", "70915906", "178207025", "202444582", "11683690", "70610323", "134306372", "190333341", "179117685", "204575570" ], "author": [ "2145222739", "2047475883" ], "reference": [ "1514840465", "1837173426", "1971725331", "1991379861", "2000077489", "2001020033", "2013052961", "2020192058", "2025019839", "2043769190", "2061326297", "2077355015", "2090698191", "2095120350" ], "abstract": "for a pseudodifferential boundary operator a of order 2 z and class 0 in the boutet de monvel calculus on a compact n dimensional manifold with boundary we consider the function tr ab s where b is an auxiliary system formed of the dirichlet realization of a second order strongly elliptic differential operator and an elliptic operator on the boundary we prove that tr ab s has a meromorphic extension to c with poles at the half integers s n j 2 j 2 n possibly double for s 0 and we prove that its residue at 0 equals the noncommutative residue of a as defined by fedosov golse leichtnam and schrohe by a different method to achieve this we establish a full asymptotic expansion of tr a b k in powersl 2 and log powersl 2 log where the noncommutative residue equals the coefficient of the highest order log power there is a related expansion of tr ae tb the paper will appear in journal reine angew math crelle s journal then is a holomorphic function of s for large re s we show that it extends to a mero morphic function on the whole complex plane with at most double poles moreover we prove that the noncommutative residue res a of a can be recovered as a residue in this", "title_raw": "TRACE EXPANSIONS AND THE NONCOMMUTATIVE RESIDUE FOR MANIFOLDS WITH BOUNDARY", "abstract_raw": "For a pseudodifferential boundary operator A of order \ufffd 2 Z and class 0 (in the Boutet de Monvel calculus) on a compact n-dimensional manifold with boundary, we consider the function Tr(AB s ), where B is an auxiliary system formed of the Dirichlet realization of a second order strongly elliptic differential operator and an elliptic operator on the boundary. We prove that Tr(AB s ) has a meromorphic extension to C with poles at the half-integers s = (n+\ufffd j)/2, j 2 N (possibly double for s < 0), and we prove that its residue at 0 equals the noncommutative residue of A, as defined by Fedosov, Golse, Leichtnam and Schrohe by a different method. To achieve this, we establish a full asymptotic expansion of Tr(A(B \ufffd) k ) in powersl/2 and log-powersl/2 log \ufffd, where the noncommutative residue equals the coefficient of the highest order log-power. There is a related expansion of Tr(Ae tB ). The paper will appear in Journal Reine Angew. Math. (Crelle's Journal). then is a holomorphic function of s for large Re s. We show that it extends to a mero- morphic function on the whole complex plane with at most double poles. Moreover, we prove that the noncommutative residue res(A) of A can be recovered as a residue in this" }, { "paper": "1999402149", "venue": "184147796", "year": "2001", "title": "symplectic representations of inertia groups", "label": [ "169654258", "164810661", "90673727", "9652623", "113429393", "175322374", "2777404646", "120047569", "118615104" ], "author": [ "2105917313", "2169070767" ], "reference": [ "120124575", "1507738081", "1596185498", "1784209341", "2016519608", "2224825159", "2317448828" ], "abstract": "", "title_raw": "Symplectic Representations of Inertia Groups", "abstract_raw": "" }, { "paper": "2018993861", "venue": "90727058", "year": "2001", "title": "priority queues with binary priorities", "label": [ "118615104", "48372109", "114614502", "37724570", "77553402" ], "author": [ "2637985338", "2015060146" ], "reference": [ "24767936", "1993449345", "2005212141", "2009144002", "2017788080", "2019118072", "2042105518", "2044960516", "2055315068", "2077866342", "2085771262", "2798490245", "2803499930" ], "abstract": "abstract we consider a priority queue of unbounded capacity whose input is the sequence 1 2 n where each i is given a binary priority we prove a previously conjectured recurrence for the number of allowable input output pairs achievable by such a queue with z items of priority 0 the proof provides a new application of inseparable permutations we then give upper and lower bounds for this and deduce that for fixed z the growth rate is n log z n we also study the total number of allowable input output pairs where the number of items of priority 0 is not fixed and provide very tight upper and lower bounds which imply that the growth rate is nn log n", "title_raw": "Priority queues with binary priorities", "abstract_raw": "Abstract We consider a priority queue of unbounded capacity whose input is the sequence 1,2,\u2026,n where each i is given a binary priority. We prove a previously conjectured recurrence for the number of allowable input\u2013output pairs achievable by such a queue with z items of priority 0; the proof provides a new application of inseparable permutations. We then give upper and lower bounds for this and deduce that for fixed z the growth rate is \u0398 (n! log z (n)) . We also study the total number of allowable input\u2013output pairs where the number of items of priority 0 is not fixed and provide very tight upper and lower bounds which imply that the growth rate is \u0398 (nn! log (n)) ." }, { "paper": "2007611168", "venue": "11296630", "year": "2001", "title": "the effect of intensity perturbations on speech intelligibility for normal hearing and hearing impaired listeners", "label": [ "179518139" ], "author": [ "2703101715", "1489118175", "2141766349" ], "reference": [ "1970352604", "1971432264", "1987180644", "1988907801", "2010015629", "2010888210", "2020997493", "2036538960", "2078013908", "2085117766", "2091585309", "2114928144", "2115144768", "2201699278" ], "abstract": "hearing impaired listeners are known to suffer from reduced speech intelligibility in noise even if sounds are above their hearing thresholds this study examined the possible contribution of reduced acuity of intensity coding to this problem the distortion sensitivity model was used the effect of reduced acuity of auditory intensity coding on intelligibility was mimicked by an artificial distortion of the speech intensity coding and the sensitivity to this distortion for hearing impaired listeners was compared with that for normal hearing listeners stimuli speech plus noise were wavelet coded using a gaussian wavelet 1 4 octave bandwidth the intensity coding was distorted by multiplying the modulus of each wavelet coefficient by a random factor speech reception thresholds srts were measured for various degrees of intensity perturbation hearing impaired listeners were classified as suffering from suprathreshold deficits if intelligibility of undistorted speech was worse than predicted from audibility by the speech intelligibility index model ansi ansi s3 5 1997 1997 hearing impaired listeners without suprathreshold deficits were as sensitive to the intensity distortion as the normal hearing listeners hearing impaired listeners with suprathreshold deficits appeared to be less sensitive results indicate that reduced acuity of auditory intensity coding may be a factor underlying reduced speech intelligibility in noise for the hearing impaired hearing impaired listeners are known to suffer from reduced speech intelligibility in noise even if sounds are above their hearing thresholds this study examined the possible contribution of reduced acuity of intensity coding to this problem the distortion sensitivity model was used the effect of reduced acuity of auditory intensity coding on intelligibility was mimicked by an artificial distortion of the speech intensity coding and the sensitivity to this distortion for hearing impaired listeners was compared with that for normal hearing listeners stimuli speech plus noise were wavelet coded using a gaussian wavelet 1 4 octave bandwidth the intensity coding was distorted by multiplying the modulus of each wavelet coefficient by a random factor speech reception thresholds srts were measured for various degrees of intensity perturbation hearing impaired listeners were classified as suffering from suprathreshold deficits if intelligibility of undistorted speech was worse than predicted from", "title_raw": "The effect of intensity perturbations on speech intelligibility for normal-hearing and hearing-impaired listeners", "abstract_raw": "Hearing-impaired listeners are known to suffer from reduced speech intelligibility in noise, even if sounds are above their hearing thresholds. This study examined the possible contribution of reduced acuity of intensity coding to this problem. The \u201cdistortion-sensitivity model\u201d was used: the effect of reduced acuity of auditory intensity coding on intelligibility was mimicked by an artificial distortion of the speech intensity coding, and the sensitivity to this distortion for hearing-impaired listeners was compared with that for normal-hearing listeners. Stimuli (speech plus noise) were wavelet coded using a Gaussian wavelet (1/4-octave bandwidth). The intensity coding was distorted by multiplying the modulus of each wavelet coefficient by a random factor. Speech-reception thresholds (SRTs) were measured for various degrees of intensity perturbation. Hearing-impaired listeners were classified as suffering from suprathreshold deficits if intelligibility of undistorted speech was worse than predicted from audibility by the speech intelligibility index model [ANSI, ANSI S3.5-1997 (1997)]. Hearing-impaired listeners without suprathreshold deficits were as sensitive to the intensity distortion as the normal-hearing listeners. Hearing-impaired listeners with suprathreshold deficits appeared to be less sensitive. Results indicate that reduced acuity of auditory intensity coding may be a factor underlying reduced speech intelligibility in noise for the hearing impaired.Hearing-impaired listeners are known to suffer from reduced speech intelligibility in noise, even if sounds are above their hearing thresholds. This study examined the possible contribution of reduced acuity of intensity coding to this problem. The \u201cdistortion-sensitivity model\u201d was used: the effect of reduced acuity of auditory intensity coding on intelligibility was mimicked by an artificial distortion of the speech intensity coding, and the sensitivity to this distortion for hearing-impaired listeners was compared with that for normal-hearing listeners. Stimuli (speech plus noise) were wavelet coded using a Gaussian wavelet (1/4-octave bandwidth). The intensity coding was distorted by multiplying the modulus of each wavelet coefficient by a random factor. Speech-reception thresholds (SRTs) were measured for various degrees of intensity perturbation. Hearing-impaired listeners were classified as suffering from suprathreshold deficits if intelligibility of undistorted speech was worse than predicted from..." }, { "paper": "2016434080", "venue": "70695507", "year": "2001", "title": "global attractivity in nonlinear differential equations with delays", "label": [ "28826006" ], "author": [ "2659266562", "2631431303", "2652311616", "2483087943" ], "reference": [], "abstract": "", "title_raw": "Global attractivity in nonlinear differential equations with delays", "abstract_raw": "" }, { "paper": "2093286182", "venue": "105693234", "year": "2001", "title": "how fast are the particles of super brownian motion", "label": [ "115311070", "40636538", "80661125", "112401455", "194198291", "28235433", "138552256", "134306372" ], "author": [ "199640317" ], "reference": [], "abstract": "in this paper we investigate fast particles in the range and support ofsuper brownian motion in the historical setting in this setting eachparticle of super brownian motion alive at time t is represented by apath w 0 t d and the state of historical super brownian motionis a measure on the set of paths typical particles have brownian paths however in the uncountable collection of particles in the range of asuper brownian motion there are some which at exceptional times movefaster than brownian motion we determine the maximal speed of allparticles during a given time period e which turns out to be afunction of the packing dimension of e a path w in the support ofhistorical super brownian motion at time t is called a fast if wecalculate the hausdorff dimension of the set of a fast paths in thesupport and the range of historical super brownian motion a valuabletool in the proofs is a uniform dimension formula for the browniansnake which reduces dimension problems in the space of stopped paths to dimension problems on the line", "title_raw": "How fast are the particles of super-Brownian motion?", "abstract_raw": "In this paper we investigate fast particles in the range and support ofsuper-Brownian motion in the historical setting. In this setting eachparticle of super-Brownian motion alive at time t is represented by apath w:[0,t]\u2192\u211dd and the state of historical super-Brownian motionis a measure on the set of paths. Typical particles have Brownian paths,however in the uncountable collection of particles in the range of asuper-Brownian motion there are some which at exceptional times movefaster than Brownian motion. We determine the maximal speed of allparticles during a given time period E, which turns out to be afunction of the packing dimension of E. A path w in the support ofhistorical super-Brownian motion at time t is called a-fast if \\(\\). Wecalculate the Hausdorff dimension of the set of a-fast paths in thesupport and the range of historical super-Brownian motion. A valuabletool in the proofs is a uniform dimension formula for the Browniansnake, which reduces dimension problems in the space of stopped paths to dimension problems on the line." }, { "paper": "2057938864", "venue": "102439543", "year": "2001", "title": "bounds on differences of adjacent zeros of bessel functions and iterative relations between consecutive zeros", "label": [ "58442840", "73295869", "118532472", "114614502", "2777215656", "125065441", "107706756", "72169020", "115171141" ], "author": [ "2151968229" ], "reference": [ "1524098039", "1656166924", "1972928524", "1988366723", "2008754992", "2016302698", "2024544521", "2028783611", "2031199761", "2034317589", "2040185255", "2053289371", "2058710649", "2061696620", "2081338783", "2081633643", "2086283091", "2086630364", "2116030792", "2120062331", "2125978368", "2147559715", "2321101418", "2322319663", "2324379530", "2737751924", "2801179766" ], "abstract": "bounds for the distance c s c 1 s between adjacent zeros of cylinder functions are given s and s are such that c s c s c 1 s c k stands for the kth positive zero of the cylinder bessel function c x cos j x sin y x 0 r these bounds together with the application of modified global newton methods based on the monotonic functions f x x2 1c x c 1 x and g x x 2 1 c x c 1 x give rise to forward c k c k 1 and backward c k 1 c k iterative relations between consecutive zeros of cylinder functions the problem of finding all the positive real zeros of bessel functions c x for any real and inside an interval x1 x2 x1 0 is solved in a simple way", "title_raw": "Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros", "abstract_raw": "Bounds for the distance |c\u03bd,s\u2212 c\u03bd\u00b11,s\u2032 | between adjacent zeros of cylinder functions are given; s and s\u2032 are such that @c\u03bd,s\u2032\u2032 \u2208 ]c\u03bd,s, c\u03bd\u00b11,s\u2032 [; c\u03bd,k stands for the kth positive zero of the cylinder (Bessel) function C\u03bd(x) = cos\u03b1J\u03bd(x)\u2212 sin\u03b1Y\u03bd(x), \u03b1 \u2208 [0, \u03c0[, \u03bd \u2208 R. These bounds, together with the application of modified (global) Newton methods based on the monotonic functions f\u03bd(x) = x2\u03bd\u22121C\u03bd(x)/C\u03bd\u22121(x) and g\u03bd(x) = \u2212x\u2212(2\u03bd+1)C\u03bd(x)/C\u03bd+1(x), give rise to forward (c\u03bd,k \u2192 c\u03bd,k+1) and backward (c\u03bd,k+1 \u2192 c\u03bd,k) iterative relations between consecutive zeros of cylinder functions. The problem of finding all the positive real zeros of Bessel functions C\u03bd(x) for any real \u03b1 and \u03bd inside an interval [x1, x2], x1 > 0, is solved in a simple way." }, { "paper": "1971909321", "venue": "3006183880", "year": "2001", "title": "new exact multiplicity results with an application to a population model", "label": [ "191948623", "114614502", "28826006", "169214877" ], "author": [ "2294132079", "2154095880" ], "reference": [ "131752915", "1569964927", "1611561901", "1967020856", "1967903843", "1969027200", "1982357817", "1982931837", "2020010349", "2024021341", "2054563910", "2062697573", "2064728990", "2068433160", "2132394231" ], "abstract": "we obtain some new exact multiplicity results for the dirichlet boundary value problem on a unit ball b n in r n we consider several classes of nonlinearities f u including both positive and sign changing cases a crucial part of the proof is to establish positivity of solutions for the corresponding linearized problem as an application we obtain exact multiplicity results for the holling tanner population model", "title_raw": "New exact multiplicity results with an application to a population model", "abstract_raw": "We obtain some new exact multiplicity results for the Dirichlet boundary-value problem\n on a unit ball B n in R n . We consider several classes of nonlinearities f ( u ), including both positive and sign-changing cases. A crucial part of the proof is to establish positivity of solutions for the corresponding linearized problem. As an application we obtain exact multiplicity results for the Holling-Tanner population model." }, { "paper": "2053050827", "venue": "165512578", "year": "2001", "title": "on the solution of equality constrained quadratic programming problems arising in optimization", "label": [ "2779982483", "55660270", "129844170", "115527620", "126255220", "81184566", "81845259", "159694833", "6802819" ], "author": [ "728307417", "2062900236", "2070638347" ], "reference": [ "1546004968", "1547838076", "1787686439", "1967717294", "1968553199", "1971536112", "1981745143", "1990025588", "2000389939", "2002352627", "2010315317", "2014101933", "2014851363", "2015530812", "2016797051", "2017244132", "2020804487", "2027634563", "2036172929", "2043268374", "2046763850", "2058475249", "2061702008", "2063675347", "2063690908", "2070419067", "2081387733", "2091644521", "2099851320", "2129256515", "2139120244", "2156722294", "2162057287", "2168775671", "2277330093", "2316564661", "2733179301", "2798909945" ], "abstract": "we consider the application of the conjugate gradient method to the solution of large equality constrained quadratic programs arising in nonlinear optimization our approach is based implicitly on a reduced linear system and generates iterates in the null space of the constraints instead of computing a basis for this null space we choose to work directly with the matrix of constraint gradients computing projections into the null space by either a normal equations or an augmented system approach unfortunately in practice such projections can result in significant rounding errors we propose iterative refinement techniques as well as an adaptive reformulation of the quadratic problem that can greatly reduce these errors without incurring high computational overheads numerical results illustrating the efficacy of the proposed approaches are presented", "title_raw": "On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization", "abstract_raw": "We consider the application of the conjugate gradient method to the solution of large equality constrained quadratic programs arising in nonlinear optimization. Our approach is based implicitly on a reduced linear system and generates iterates in the null space of the constraints. Instead of computing a basis for this null space, we choose to work directly with the matrix of constraint gradients, computing projections into the null space by either a normal equations or an augmented system approach. Unfortunately, in practice such projections can result in significant rounding errors. We propose iterative refinement techniques, as well as an adaptive reformulation of the quadratic problem, that can greatly reduce these errors without incurring high computational overheads. Numerical results illustrating the efficacy of the proposed approaches are presented." }, { "paper": "1970931562", "venue": "158241587", "year": "2001", "title": "a class of nonconservative lagrangian systems on riemannian manifolds", "label": [ "12520029", "4306028", "102224218", "97491812", "17628635", "12089564", "202444582", "146674193", "181104567", "134306372" ], "author": [ "2271964467", "2120084955" ], "reference": [ "1559840026", "1965128684", "1991248733", "2010232989", "2024530308", "2064932445", "2088842637", "2089961271", "2100451568", "2160832095", "3102348671", "3105345032" ], "abstract": "we generalize results of rauch wojciechowski marciniak and lundmark concerning a class of nonconservative lagrangian systems from the euclidean to the riemannian case", "title_raw": "A class of nonconservative Lagrangian systems on Riemannian manifolds", "abstract_raw": "We generalize results of Rauch-Wojciechowski, Marciniak and Lundmark, concerning a class of nonconservative Lagrangian systems, from the Euclidean to the Riemannian case." }, { "paper": "1978750168", "venue": "40006715", "year": "2001", "title": "flaw detection in sandwich plates based on time harmonic response using genetic algorithm", "label": [ "11413529", "48753275", "207467116", "167928553", "16826683", "135252773", "135628077", "8880873" ], "author": [ "2587025022", "2790452171" ], "reference": [ "26529677", "1527350927", "1963494850", "2003910881", "2007182538", "2024396465", "2027976741", "2033282302", "2038804101", "2058145867", "2076058286", "2100722180", "2128074396", "2161050275", "2165150026", "3023540311" ], "abstract": "an inverse identification technique is proposed to assess the presence location size and degree of flaw in the core layer of sandwich plates the time harmonic response of the sandwich plates is used as the input for inverse analysis the responses of the plates in forward analysis are predicted using finite element method fem based on mindlin plate theory the flaw is characterized by a set of parameters the genetic algorithm ga is applied to search the parameters to improve the efficiency of ga in searching for the true solution a two stage searching method is proposed numerical examples are given to illustrate the proposed technique", "title_raw": "Flaw detection in sandwich plates based on time-harmonic response using genetic algorithm", "abstract_raw": "An inverse identification technique is proposed to assess the presence, location, size and degree of flaw in the core layer of sandwich plates. The time-harmonic response of the sandwich plates is used as the input for inverse analysis. The responses of the plates in forward analysis are predicted using finite element method (FEM) based on Mindlin plate theory. The flaw is characterized by a set of parameters. The genetic algorithm (GA) is applied to search the parameters. To improve the efficiency of GA in searching for the true solution, a two-stage searching method is proposed. Numerical examples are given to illustrate the proposed technique." }, { "paper": "2082568485", "venue": "151579836", "year": "2001", "title": "characterizations of qt spaces", "label": [ "202444582", "190333341", "134306372", "118299288", "47177299", "58442840", "114460028", "205979905" ], "author": [ "2217818513", "2677995651" ], "reference": [ "1497355941", "2008054074", "2025365050", "2065634878", "2074273904", "2314296614", "2317990279" ], "abstract": "abstract we introduce a new space qt space of analytic functions on the unit disk in terms of a nondecreasing function t the relation between qt and qp spaces which have attracted considerable attention is given by studying the growth order of t the counterpart q t of qt for the meromorphic case is also considered and investigated we note that some characterizations of q t and qt are different moreover our results answer a question raised by p wu 1998 complex variables35 157 170 in the negative", "title_raw": "Characterizations of QT spaces", "abstract_raw": "Abstract We introduce a new space, QT space, of analytic functions on the unit disk in terms of a nondecreasing function T. The relation between QT and Qp spaces, which have attracted considerable attention, is given by studying the growth order of T. The counterpart Q#T of QT for the meromorphic case is also considered and investigated. We note that some characterizations of Q#T and QT are different. Moreover, our results answer a question raised by P. Wu (1998, Complex Variables35, 157\u2013170) in the negative." }, { "paper": "2000483839", "venue": "35412551", "year": "2001", "title": "origins of phase transitions in small systems", "label": [ "17825722", "28556851", "101683677", "114289077" ], "author": [ "106711295", "1252193152", "2970578744" ], "reference": [], "abstract": "the identification and classification of phases in small systems e g nuclei social and financial networks clusters and biological systems where the traditional definitions of phase transitions are not applicable is important to obtain a deeper understanding of the phenomena observed in such systems within a simple statistical model we investigate the validity and applicability of different classification schemes for phase transtions in small systems we show that the whole complex temperature plane contains necessary information in order to give a distinct classification", "title_raw": "Origins of phase transitions in small systems.", "abstract_raw": "The identification and classification of phases in small systems, e.g., nuclei, social and financial networks, clusters, and biological systems, where the traditional definitions of phase transitions are not applicable, is important to obtain a deeper understanding of the phenomena observed in such systems. Within a simple statistical model, we investigate the validity and applicability of different classification schemes for phase transtions in small systems. We show that the whole complex temperature plane contains necessary information in order to give a distinct classification." }, { "paper": "1503719492", "venue": "185067381", "year": "2001", "title": "constructive approximations of markov operators", "label": [ "43929395", "28826006", "189973286", "54907487", "98763669", "106666656", "163540672", "159886148", "118615104", "163836022" ], "author": [ "2158689411", "2105675024" ], "reference": [ "1489458628", "1502917965", "1533006072", "1592472301", "1866311589", "1969665421", "1969918410", "1985543833", "1987271446", "1997815317", "2020555549", "2041523977", "2055729437", "2073181581", "2085049567", "2089516856", "2336476235" ], "abstract": "we construct piecewise linear markov finite approximations of markov operators defined on l1 0 1 n and we study various properties such as consistency stability and convergence for the purpose of numerical analysis of markov operators", "title_raw": "Constructive Approximations of Markov Operators", "abstract_raw": "We construct piecewise linear Markov finite approximations of Markov operators defined on L1([0, 1]N) and we study various properties, such as consistency, stability, and convergence, for the purpose of numerical analysis of Markov operators." }, { "paper": "2025971033", "venue": "158241587", "year": "2001", "title": "similarity reduction generalized symmetries and integrability of belov chaltikian and blaszak marciniak lattice equations", "label": [ "37914503", "51544822", "134306372", "96469262", "135789939", "16171025" ], "author": [ "2648214932", "425145785" ], "reference": [ "574786849", "1524253852", "1968759454", "1972175047", "1972853772", "1985432665", "1999078596", "2003782722", "2012836972", "2022655011", "2057327792", "2067687034", "2072052529", "2077667513", "2082355391", "2082361740", "2082384803", "2087152688", "2089148957", "2090908237", "2092734626", "2100973506", "2108888992", "2298334314", "2490894620" ], "abstract": "the lie point symmetries of belov chaltikian bc and blaszak marciniak bm lattice equations is derived using the symmetries similarity reduction for both bc and bm lattice equations is obtained and show that each of the reduced equation possesses lax representation and satisfies the singularity confinement criteria a discrete version of the painleve property indicating their integrability two particular solutions of both the reduced equations are given explicitly a systematic investigation for nonclassical symmetries of bc and bm lattice equations is carried out further a sequence of conserved densities and generalized symmetries of both bc and bm lattice equation are derived explicitly the existence of a sequence of such symmetries is a predictor for integrability", "title_raw": "Similarity reduction, generalized symmetries and integrability of Belov\u2013Chaltikian and Blaszak\u2013Marciniak lattice equations", "abstract_raw": "The Lie point symmetries of Belov\u2013Chaltikian (BC) and Blaszak\u2013Marciniak (BM) lattice equations is derived. Using the symmetries similarity reduction for both BC and BM lattice equations is obtained and show that each of the reduced equation possesses Lax representation and satisfies the singularity confinement criteria (a discrete version of the Painleve property) indicating their integrability. Two particular solutions of both the reduced equations are given explicitly. A systematic investigation for nonclassical symmetries of BC and BM lattice equations is carried out. Further, a sequence of conserved densities and generalized symmetries of both BC and BM lattice equation are derived explicitly. The existence of a sequence of such symmetries is a predictor for integrability." }, { "paper": "2149895168", "venue": "105693234", "year": "2001", "title": "interacting fisher wright diffusions in a catalytic medium", "label": [ "115667082", "150921843", "627467", "78045399", "112401455", "121194460", "134306372" ], "author": [ "2126140591", "2225738667", "2271448922" ], "reference": [ "1480464224", "1521233381", "1551015018", "1566478939", "1923692825", "1971842701", "1972194505", "1975174581", "1983976275", "1990681640", "1993466370", "2003284619", "2003794322", "2021773272", "2027135358", "2027434479", "2034913598", "2045966019", "2050225794", "2055146969", "2086228805", "2087801471", "2093597937", "2138661696", "2239176660", "2497607697" ], "abstract": "we study the longtime behaviour of interacting systems in a randomly fluctuating space time medium and focus on models from population genetics there are two prototypes of spatial models in population genetics spatial branching processes and interacting fisher wright diffusions quite a bit is known on spatial branching processes where the local branching rate is proportional to a random environment catalytic medium", "title_raw": "Interacting Fisher-Wright Diffusions in a Catalytic Medium", "abstract_raw": "We study the longtime behaviour of interacting systems in a randomly fluctuating (space\u2013time) medium and focus on models from population genetics. There are two prototypes of spatial models in population genetics: spatial branching processes and interacting Fisher\u2013Wright diffusions. Quite a bit is known on spatial branching processes where the local branching rate is proportional to a random environment (catalytic medium)." }, { "paper": "2060423766", "venue": "151579836", "year": "2001", "title": "asymptotic results for injection of reactive solutes from a three dimensional well", "label": [ "134306372", "98951983", "26955809", "45137528", "155940", "83053163", "182310444" ], "author": [ "2708728715", "2151957550", "2471874268" ], "reference": [ "619327297", "1528848089", "1821537657", "1969645962", "1972824140", "1987310399", "2024516900", "2035308163", "2167352893", "2369386221" ], "abstract": "abstract in this paper we consider some asymptotic aspects related to the profile of a reactive solute which is injected from a well radius 0 into a three dimensional porous medium we present a convergence result for 0 as well as the large time behaviour regarding the latter we show that the solute profile evolves in a self similar way towards a stationary distribution and we give an estimate for the rate of the convergence this paper extends earlier work of c j van duijn and m a peletier 1996 j reine angew math 479 77 98 where the two dimensional case was treated", "title_raw": "Asymptotic Results for Injection of Reactive Solutes from a Three-Dimensional Well", "abstract_raw": "Abstract In this paper we consider some asymptotic aspects related to the profile of a reactive solute, which is injected from a well (radius \u03f5\u00a0>\u00a00) into a three-dimensional porous medium. We present a convergence result for \u03f5\u00a0\u2193\u00a00 as well as the large time behaviour. Regarding the latter we show that the solute profile evolves in a self-similar way towards a stationary distribution and we give an estimate for the rate of the convergence. This paper extends earlier work of C. J. van Duijn and M. A. Peletier (1996, J. Reine Angew. Math. 479 , 77\u201398), where the two-dimensional case was treated." }, { "paper": "2068164508", "venue": "184147796", "year": "2001", "title": "herstein s theorems and simplicity of hermitian jordan systems", "label": [ "94940", "202444582", "109385661", "159423971", "125565743", "10927425", "2777423538", "43420412", "64999384" ], "author": [ "1898875326", "2166488510", "2193861880" ], "reference": [ "1968142968", "1985042873", "1993995422", "1995676581", "2017590005", "2018633538", "2020880625", "2049655659", "2056920982", "2139573146", "2320415508", "2330999786" ], "abstract": "abstract in this paper we extend herstein s first construction relating associative and jordan ideals to pairs and triple systems as a consequence we show that an associative pair or triple system is simple if and only if its jordan symmetrization is simple we also generalize herstein s second construction to ample subsystems of associative algebras pairs and triple systems which provides information on their simplicity when the associative structure is simple", "title_raw": "Herstein's Theorems and Simplicity of Hermitian Jordan Systems", "abstract_raw": "Abstract In this paper we extend Herstein's first construction relating associative and Jordan ideals to pairs and triple systems. As a consequence we show that an associative pair or triple system is simple if and only if its Jordan symmetrization is simple. We also generalize Herstein's second construction to ample subsystems of associative algebras, pairs, and triple systems, which provides information on their simplicity when the associative structure is simple." }, { "paper": "2082526247", "venue": "45918994", "year": "2001", "title": "holder continuity of the integrated density of states for quasi periodic schrodinger equations and averages of shifts of subharmonic functions", "label": [ "20080352", "3098717", "553313952", "96403706", "134306372", "203893716", "55637507", "191544260", "2780311589" ], "author": [ "2949199494", "2464916769" ], "reference": [ "1511889936", "1968557970", "1971357399", "1971676155", "1974363724", "1976307336", "1978077846", "1979887699", "1998241739", "1999017571", "1999984657", "2003940946", "2010397711", "2017366951", "2019431125", "2026037089", "2036068788", "2040423578", "2041614818", "2051832198", "2078760986", "2083240258", "2087583851", "2096358753", "2160881591", "2264002775", "3038928148", "3109334054" ], "abstract": "in this paper we consider various regularity results for discrete quasiperiodic schr6dinger equations n l pn 1 v 9 nw on eon with analytic potential v we prove that on intervals of positivity for the lyapunov exponent the integrated density of states is holder continuous in the energy provided w has a typical continued fraction expansion the proof is based on certain sharp large deviation theorems for the norms of the monodromy matrices and the avalanche principle the latter refers to a mechanism that allows us to write the norm of a monodromy matrix as the product of the norms of many short blocks in the multi frequency case the integrated density of states is shown to have a modulus of continuity of the form exp log tl for some 0 a 1 but currently we do not obtain holder continuity in the case of more than one frequency we also present a mechanism for proving the positivity of the lyapunov exponent for large disorders for a general class of equations the only requirement for this approach is some weak form of a large deviation theorem for the lyapunov exponents in particular we obtain an independent proof of the herman sorets spencer theorem in the multi frequency case the approach in this paper is related to the recent nonperturbative proof of anderson localization in the quasi periodic case by j bourgain and m goldstein", "title_raw": "Holder continuity of the integrated density of states for quasi-periodic Schrodinger equations and averages of shifts of subharmonic functions", "abstract_raw": "In this paper we consider various regularity results for discrete quasiperiodic Schr6dinger equations --n+l - Pn-1 + V(9 + nw)on = EOn with analytic potential V. We prove that on intervals of positivity for the Lyapunov exponent the integrated density of states is Holder continuous in the energy provided w has a typical continued fraction expansion. The proof is based on certain sharp large deviation theorems for the norms of the monodromy matrices and the \"avalanche-principle\". The latter refers to a mechanism that allows us to write the norm of a monodromy matrix as the product of the norms of many short blocks. In the multi-frequency case the integrated density of states is shown to have a modulus of continuity of the form exp(- log tl) for some 0 < a < 1, but currently we do not obtain Holder continuity in the case of more than one frequency. We also present a mechanism for proving the positivity of the Lyapunov exponent for large disorders for a general class of equations. The only requirement for this approach is some weak form of a large deviation theorem for the Lyapunov exponents. In particular, we obtain an independent proof of the Herman-Sorets-Spencer theorem in the multi-frequency case. The approach in this paper is related to the recent nonperturbative proof of Anderson localization in the quasi-periodic case by J. Bourgain and M. Goldstein." }, { "paper": "2051286371", "venue": "51360982", "year": "2001", "title": "technical communique a note on absolute stability of uncertain systems", "label": [ "65521940", "19118579", "158622935", "97970142", "65244806" ], "author": [ "1971655885", "2082630614" ], "reference": [ "195874481", "645313670", "1574669531", "1594621536", "1972904014", "2009136209", "2009253901", "2041824508", "2050407072", "2064486942", "2119695547", "2131331162", "2255439832", "2561303032" ], "abstract": "the absolute stability of nonlinear systems is an important robustness issue which has been studied intensively since its first formulation by lur e recently extensions of the solutions to different versions of this problem have been developed for cases with either structured or unstructured uncertainties in the linear part in this note the circle criterion and the popov criterion are recast in an even more general setting one which accommodates both types of perturbations in the linear plant numerical examples are provided to illustrate the application of these frequency domain tools", "title_raw": "Technical Communique: A note on absolute stability of uncertain systems", "abstract_raw": "The absolute stability of nonlinear systems is an important robustness issue which has been studied intensively since its first formulation by Lur'e. Recently, extensions of the solutions to different versions of this problem have been developed for cases with either structured or unstructured uncertainties in the linear part. In this note, the circle criterion and the Popov criterion are recast in an even more general setting; one which accommodates both types of perturbations in the linear plant. Numerical examples are provided to illustrate the application of these frequency domain tools." }, { "paper": "2030967908", "venue": "50372074", "year": "2001", "title": "isochronicity into a family of time reversible cubic vector fields", "label": [ "91188154", "156760230", "191544260", "163105828", "134306372", "78045399", "207467116" ], "author": [ "2233514507", "2112265436", "2167883813" ], "reference": [ "946335828", "1571732902", "1970428736", "1984170586", "2012972845", "2016269254", "2020155908", "2030253878", "2032989348", "2051346103", "2056854432", "2066371245", "2071012580", "2501771460", "2591449019", "3021722416" ], "abstract": "in this work we study necessary and sufficient conditions for the existence of isochronous centers into a family of cubic time reversible systems this class of reversible systems is characterized by the existence of an inverse integrating factor which is a certain power of an invariant straight line", "title_raw": "Isochronicity into a family of time-reversible cubic vector fields", "abstract_raw": "In this work, we study necessary and sufficient conditions for the existence of isochronous centers into a family of cubic time-reversible systems. This class of reversible systems is characterized by the existence of an inverse integrating factor which is a certain power of an invariant straight line." }, { "paper": "2027934413", "venue": "35412551", "year": "2001", "title": "field induced structure transformation in electrorheological solids", "label": [ "84583765", "135789939" ], "author": [ "2986302008", "2462454281" ], "reference": [ "1555414440", "2041902442", "2082812506", "2569817081" ], "abstract": "we have computed the local electric field in a body centered tetragonal bct lattice of point dipoles via the ewald kornfeld formulation in an attempt to examine the effects of a structure transformation on the local field strength for the ground state of an electrorheological solid of hard spheres we identified a different structure transformation from the bct to the face centered cubic fcc lattices by changing the uniaxial lattice constant c under the hard sphere constraint in contrast to the previous results the local field exhibits a nonmonotonic transition from bct to fcc as c increases from the bct ground state the local field initially decreases rapidly towards the isotropic value at the body centered cubic lattice decreases further reaching a minimum value and increases passing through the isotropic value again at an intermediate lattice reaches a maximum value and finally decreases to the fcc value an experimental realization of the structure transformation is suggested moreover the change in the local field can lead to a generalized clausius mossotti equation for the bct lattices", "title_raw": "Field-induced structure transformation in electrorheological solids.", "abstract_raw": "We have computed the local electric field in a body-centered tetragonal (bct) lattice of point dipoles via the Ewald-Kornfeld formulation, in an attempt to examine the effects of a structure transformation on the local-field strength. For the ground state of an electrorheological solid of hard spheres, we identified a different structure transformation from the bct to the face-centered cubic (fcc) lattices by changing the uniaxial lattice constant c under the hard-sphere constraint. In contrast to the previous results, the local field exhibits a nonmonotonic transition from bct to fcc. As c increases from the bct ground state, the local field initially decreases rapidly towards the isotropic value at the body-centered cubic lattice, decreases further, reaching a minimum value and increases, passing through the isotropic value again at an intermediate lattice, reaches a maximum value and finally decreases to the fcc value. An experimental realization of the structure transformation is suggested. Moreover, the change in the local field can lead to a generalized Clausius-Mossotti equation for the bct lattices." }, { "paper": "2113363544", "venue": "11296630", "year": "2001", "title": "time reversal acoustics and maximum entropy imaging", "label": [ "158693339", "12362212", "9679016", "128803854" ], "author": [ "2065274997" ], "reference": [ "114314968", "145616578", "1514558801", "1578255497", "1613559169", "1613616705", "1963651084", "1967898444", "1970784811", "1977828379", "1981801030", "1986129447", "1986455671", "2009020532", "2017714771", "2018883212", "2020639671", "2032558547", "2045301133", "2047521385", "2061404902", "2064493071", "2068133618", "2072997363", "2086370808", "2087543940", "2113638573", "2136356671" ], "abstract": "a common problem in acoustics imaging is target location using either passive or active data inversion time reversal methods in acoustics have the important characteristic that they provide a means of determining the eigenfunctions and eigenvalues of the scattering operator for either of these two cases each eigenfunction may often be approximately associated with an individual scatterer the resulting decoupling of the scattered field from a collection of targets is a very useful aid to localizing the targets and suggests a number of imaging and localization algorithms two of these are linear subspace methods and maximum entropy imaging", "title_raw": "Time\u2010reversal acoustics and maximum\u2010entropy imaging", "abstract_raw": "A common problem in acoustics imaging is target location using either passive or active data inversion. Time\u2010reversal methods in acoustics have the important characteristic that they provide a means of determining the eigenfunctions and eigenvalues of the scattering operator for either of these two cases. Each eigenfunction may often be approximately associated with an individual scatterer. The resulting decoupling of the scattered field from a collection of targets is a very useful aid to localizing the targets, and suggests a number of imaging and localization algorithms. Two of these are linear subspace methods and maximum\u2010entropy imaging." }, { "paper": "1977043698", "venue": "35412551", "year": "2001", "title": "compact fourth order finite difference method for solving differential equations", "label": [ "93779851", "97826883", "65826597", "181330731", "110167270", "134306372", "33163149", "182310444", "205951836" ], "author": [ "3198728120", "438542905", "1839975542", "2129706933", "429846306" ], "reference": [], "abstract": "we present a fourth order finite difference fd method for solving two dimensional partial differential equations the fd operator uses a compact nine point stencil on a regular square grid despite the regular grid dirichlet boundary conditions can be applied on an arbitrarily shaped boundary without resorting to the usual stepped approximation we demonstrate the superior convergence of the method over second order techniques by solving the schrodinger equation for an electron in a semiconductor quantum dot with a smoothly varying potential which generates classically chaotic dynamics", "title_raw": "Compact fourth-order finite difference method for solving differential equations.", "abstract_raw": "We present a fourth-order finite difference (FD) method for solving two-dimensional partial differential equations. The FD operator uses a compact nine-point stencil on a regular square grid. Despite the regular grid, Dirichlet boundary conditions can be applied on an arbitrarily shaped boundary without resorting to the usual stepped approximation. We demonstrate the superior convergence of the method over second-order techniques by solving the Schrodinger equation for an electron in a semiconductor quantum dot with a smoothly varying potential which generates classically chaotic dynamics." }, { "paper": "2028985131", "venue": "169411308", "year": "2001", "title": "the fuzzy association degree in semantic data models", "label": [ "76482347", "205826798" ], "author": [ "2655837066", "2628405667" ], "reference": [ "1490069268", "1971856856", "2010711074", "2044146725", "2063394973", "2072960837", "2080525167", "2108843088", "2912565176" ], "abstract": "abstract this paper presets an expression of the semantic proximity based on the concept of the semantic proximity an evaluated method of the fuzzy association degree is given it is shown that the method is reasonable and effective particularly by means of the fuzzy association degree we can discover the connection between a plant and some ecological environment which will be helpful to the exploitation of rare plants", "title_raw": "The fuzzy association degree in semantic data models", "abstract_raw": "Abstract This paper presets an expression of the semantic proximity. Based on the concept of the semantic proximity, an evaluated method of the fuzzy association degree is given. It is shown that the method is reasonable and effective. Particularly, by means of the fuzzy association degree, we can discover the connection between a plant and some ecological environment, which will be helpful to the exploitation of rare plants." }, { "paper": "2011022818", "venue": "106174089", "year": "2001", "title": "reply by the authors to the discussion by a t de hoop", "label": [ "144237770", "50817715", "42475967" ], "author": [ "2022805010", "2470309407" ], "reference": [ "1481878869", "2119939638", "2159371958", "2915544746" ], "abstract": "the discussion by a t de hoop is highly appreciated and we regret to have omitted the reference to de hoop 1995 part of the developments in our paper are similar to those of de hoop and stam 1988 mittet and hokstad 1995 have also presented similar results for the purely elastic case these are both properly referenced in the introduction", "title_raw": "Reply by the authors to the discussion by A. T. de Hoop", "abstract_raw": "The discussion by A. T. de Hoop is highly appreciated, and we regret to have omitted the reference to de Hoop (1995). Part of the developments in our paper are similar to those of de Hoop and Stam (1988). Mittet and Hokstad (1995) have also presented similar results for the purely elastic case. These are both properly referenced in the Introduction." }, { "paper": "1975999126", "venue": "61604500", "year": "2001", "title": "approach to equilibrium of particles diffusing on curved surfaces", "label": [ "48753275", "2524010", "36503486", "2775953907", "134306372", "142195825", "35413817", "65826597", "158693339", "182310444" ], "author": [ "1058258368", "75719514" ], "reference": [ "607690890", "1520945644", "1533580496", "1978532747", "1980021001", "1980156954", "1988823334", "1991126233", "2000226237", "2003401512", "2006540293", "2006619303", "2017378573", "2025974183", "2027723522", "2032990340", "2051858265", "2056404028", "2070316033", "2070681577", "2072592776", "2076737014", "2088031374", "2093327148", "2102787760", "2111099194", "2799137445" ], "abstract": "abstract we present a simple numerical analysis of the diffusion on a curved surface given by the equation r 0 in a finite domain d r 3 the first non vanishing eigenvalue of the beltrami laplace operator with the reflecting boundary conditions is determined in our simulations for the p d g s s1 and i wp nodal periodic surfaces where d is their respective cubic unit cell we observe that the first eigenvalue for the surfaces of simple topology p d g i wp is smaller than for the surfaces of complex topology s s1", "title_raw": "Approach to equilibrium of particles diffusing on curved surfaces", "abstract_raw": "Abstract We present a simple numerical analysis of the diffusion on a curved surface given by the equation \u03c6( r )=0 in a finite domain D \u2282 R 3 . The first non-vanishing eigenvalue of the Beltrami\u2013Laplace operator with the reflecting boundary conditions is determined in our simulations for the P, D, G, S, S1 and I-WP, nodal periodic surfaces, where D is their respective cubic unit cell. We observe that the first eigenvalue for the surfaces of simple topology (P,D,G,I-WP) is smaller than for the surfaces of complex topology (S,S1)." }, { "paper": "2164020870", "venue": "184954342", "year": "2001", "title": "sequential identification and control for bounded noise arx systems", "label": [ "65244806", "17500928", "6802819", "34388435", "107464732", "2776330181", "91575142", "167928553", "167123822" ], "author": [ "2637433106" ], "reference": [ "2016997383", "2061938142", "2068211145", "2090173965" ], "abstract": "an optimal combination of sequential identification and control for a linear bounded input bounded noise discrete time arx plant is considered various configurations of identifying controlling sequences are investigated in order to find an optimal tradeoff the optimal identifying input sequence is determined by maximization of a given identification accuracy measure while the control input sequence is derived to assure a good tracking of the control system a second order model is taken for simulation and optimization", "title_raw": "Sequential identification and control for bounded-noise ARX systems", "abstract_raw": "An optimal combination of sequential identification and control for a linear bounded-input bounded-noise discrete-time ARX plant is considered. Various configurations of identifying/controlling sequences are investigated in order to find an optimal tradeoff. The optimal identifying input sequence is determined by maximization of a given identification accuracy measure while the control input sequence is derived to assure a good tracking of the control system. A second-order model is taken for simulation and optimization." }, { "paper": "2131218796", "venue": "203348814", "year": "2001", "title": "on the convergence rate of operator splitting for hamilton jacobi equations with source terms", "label": [ "48753275", "75380026", "158622935", "134306372", "51544822", "78045399", "88731125", "2778860007" ], "author": [ "2092802571", "1991979489", "1975758058" ], "reference": [ "130211666", "153353184", "328073187", "1479962395", "1532111732", "1977145840", "1984599623", "1986333812", "1986838484", "1988044952", "1991113069", "2001630674", "2008656693", "2015130302", "2017119051", "2017883116", "2022926609", "2027438381", "2032316144", "2038873839", "2039241950", "2039802576", "2043985327", "2047497215", "2049161806", "2057462050", "2060242824", "2060320511", "2061123497", "2063785035", "2064852362", "2091704977", "2092281197", "2092435235", "2094582224", "2095148363", "2105316596", "2125671914", "2158738915", "2177195156", "2217832730", "2474415246", "2749408143", "2778033595" ], "abstract": "we establish a rate of convergence for a semidiscrete operator splitting method applied to hamilton jacobi equations with source terms the method is based on sequentially solving a hamilton jacobi equation and an ordinary differential equation the hamilton jacobi equation is solved exactly while the ordinary differential equation is solved exactly or by an explicit euler method we prove that the l infty error associated with the operator splitting method is bounded by mathcal o delta t where delta t is the splitting or time step this error bound is an improvement over the existing mathcal o sqrt delta t bound due to souganidis nonlinear anal 9 1985 pp 217 257 in the one dimensional case we present a fully discrete splitting method based on an unconditionally stable front tracking method for homogeneous hamilton jacobi equations it is proved that this fully discrete splitting method possesses a linear convergence rate moreover numerical results are presented to illustrate the theoretical convergence results", "title_raw": "On the Convergence Rate of Operator Splitting for Hamilton--Jacobi Equations with Source Terms", "abstract_raw": "We establish a rate of convergence for a semidiscrete operator splitting method applied to Hamilton--Jacobi equations with source terms. The method is based on sequentially solving a Hamilton--Jacobi equation and an ordinary differential equation. The Hamilton--Jacobi equation is solved exactly while the ordinary differential equation is solved exactly or by an explicit Euler method. We prove that the $L^{\\infty}$ error associated with the operator splitting method is bounded by $\\mathcal{O}(\\Delta t)$, where $\\Delta t$ is the splitting (or time) step. This error bound is an improvement over the existing $\\mathcal{O}(\\sqrt{\\Delta t})$ bound due to Souganidis [Nonlinear Anal., 9 (1985), pp. 217--257]. In the one-dimensional case, we present a fully discrete splitting method based on an unconditionally stable front tracking method for homogeneous Hamilton--Jacobi equations. It is proved that this fully discrete splitting method possesses a linear convergence rate. Moreover, numerical results are presented to illustrate the theoretical convergence results." }, { "paper": "2008392563", "venue": "79244937", "year": "2001", "title": "improved conformal mapping of the borel plane", "label": [ "1033296", "2778409180", "155765329", "173848574", "166080464", "20167640", "54613284", "151602998", "134306372" ], "author": [ "2015465589", "3104760936" ], "reference": [ "170156585", "604882725", "1482301790", "1568516856", "1657347807", "1964827182", "1969981712", "2002118035", "2021470303", "2024242223", "2030753481", "2033183209", "2039263963", "2050855382", "2069311684", "2075539418", "2076876000", "2087885941", "2142395331", "2242515915", "2750146709", "2949197705", "3098758664", "3099732573", "3100207709", "3101795337", "3104729916", "3121533922" ], "abstract": "the conformal mapping of the borel plane can be utilized for the analytic continuation of the borel transform to the entire positive real semi axis and is thus helpful in the resummation of divergent perturbation series in quantum field theory we observe that the convergence can be accelerated by the application of pad approximants to the borel transform expressed as a function of the conformal variable i e by a combination of the analytic continuation via conformal mapping and a subsequent numerical approximation by rational approximants the method is primarily useful in those cases where the leading but not sub leading large order asymptotics of the perturbative coefficients are known", "title_raw": "Improved conformal mapping of the Borel plane", "abstract_raw": "The conformal mapping of the Borel plane can be utilized for the analytic continuation of the Borel transform to the entire positive real semi-axis and is thus helpful in the resummation of divergent perturbation series in quantum field theory. We observe that the convergence can be accelerated by the application of Pad? approximants to the Borel transform expressed as a function of the conformal variable, i.e.?by a combination of the analytic continuation via conformal mapping and a subsequent numerical approximation by rational approximants. The method is primarily useful in those cases where the leading (but not sub-leading) large-order asymptotics of the perturbative coefficients are known." }, { "paper": "2023270676", "venue": "8265502", "year": "2001", "title": "a semiparametric estimate of treatment effects with censored data", "label": [ "204016326", "150921843", "105795698", "44249647", "190403672", "19539793", "149782125", "2908840374", "185429906", "106195933" ], "author": [ "2169038069", "2054234623" ], "reference": [ "129305155", "1263077415", "1580788756", "1979300931", "1980781028", "1997196737", "1997427494", "2005655839", "2012658469", "2012712694", "2016681503", "2031330193", "2039151452", "2058802729", "2065480435", "2065787672", "2075455605", "2080702419", "2081056762", "2095370782", "2129530396", "2164610882", "2168494806", "2315962407", "2465903476", "2470528630", "2605539363", "2795680774", "2905400547", "2995133996", "3035751571" ], "abstract": "summary a semiparametric estimate of an average regression effect with right censored failure time data has recently been proposed under the cox type model where the regression effect t is allowed to vary with time in this article we derive a simple algebraic relationship between this average regression effect and a measurement of group differences in k sample transformation models when the random error belongs to the gp family of harrington and fleming 1982 biometrika69 553 566 the latter being equivalent to the conditional regression effect in a gamma frailty model the models considered here are suitable for the attenuating hazard ratios that often arise in practice the results reveal an interesting connection among the above three classes of models as alternatives to the proportional hazards assumption and add to our understanding of the behavior of the partial likelihood estimate under nonproportional hazards the algebraic relationship provides a simple estimator under the transformation model we develop a variance estimator based on the empirical influence function that is much easier to compute than the previously suggested resampling methods when there is truncation in the right tail of the failure times we propose a method of bias correction to improve the coverage properties of the confidence intervals the estimate its estimated variance and the bias correction term can all be calculated with minor modifications to standard software for proportional hazards regression", "title_raw": "A semiparametric estimate of treatment effects with censored data.", "abstract_raw": "Summary. A semiparametric estimate of an average regression effect with right-censored failure time data has recently been proposed under the Cox-type model where the regression effect \u03b2(t) is allowed to vary with time. In this article, we derive a simple algebraic relationship between this average regression effect and a measurement of group differences in K-sample transformation models when the random error belongs to the Gp family of Harrington and Fleming (1982, Biometrika69, 553\u2013566), the latter being equivalent to the conditional regression effect in a gamma frailty model. The models considered here are suitable for the attenuating hazard ratios that often arise in practice. The results reveal an interesting connection among the above three classes of models as alternatives to the proportional hazards assumption and add to our understanding of the behavior of the partial likelihood estimate under nonproportional hazards. The algebraic relationship provides a simple estimator under the transformation model. We develop a variance estimator based on the empirical influence function that is much easier to compute than the previously suggested resampling methods. When there is truncation in the right tail of the failure times, we propose a method of bias correction to improve the coverage properties of the confidence intervals. The estimate, its estimated variance, and the bias correction term can all be calculated with minor modifications to standard software for proportional hazards regression." }, { "paper": "2159315177", "venue": "184147796", "year": "2001", "title": "decomposition numbers for distant weyl modules", "label": [ "202444582" ], "author": [ "2140595156" ], "reference": [ "62887699", "150788977", "204441696", "638344261", "1486847827", "1518388118", "1539812590", "1579486099", "1607402086", "1969635045", "1983455389", "2004563467", "2014771251", "2027044855", "2071590330", "2080831252", "2087051449", "2142627627" ], "abstract": "", "title_raw": "Decomposition Numbers for Distant Weyl Modules", "abstract_raw": "" }, { "paper": "1964257590", "venue": "184147796", "year": "2001", "title": "the theta function associated to the elliptic root system", "label": [ "202444582", "105546189" ], "author": [ "2503177757" ], "reference": [ "1504186110", "1567460440", "1642629289", "2002536966", "2013914555", "2030476641", "2036485233", "2062985284" ], "abstract": "", "title_raw": "The Theta Function Associated to the Elliptic Root System", "abstract_raw": "" }, { "paper": "2030523904", "venue": "90727058", "year": "2001", "title": "node rewriting in graphs and hypergraphs a categorical framework", "label": [ "77906462", "114614502", "5274069", "118615104", "154690210", "80899671" ], "author": [ "2731005688", "1975557293" ], "reference": [ "149770690", "1483334519", "1503948619", "1504975584", "1512428151", "1523007919", "1565694481", "1571294250", "1574796876", "1591997028", "1700203549", "1985916027", "1992040352", "1994887153", "1998869819", "2006513683", "2013956597", "2016113382", "2021257181", "2061289584", "2077865366", "2096529162", "2120107384", "2120713972", "2132750992", "2139693912", "2166434533", "2325164900", "2401216365" ], "abstract": "vertex rewriting in graphs is a very powerful mechanism which has been studied for quite a long time in this paper we eventually provide a categorical theory of vertex rewriting and show how it can extend in a uniform way to node and pattern rewriting mechanisms in hypergraphs copyright 2001 elsevier science b v", "title_raw": "Node rewriting in graphs and hypergraphs: a categorical framework", "abstract_raw": "Vertex rewriting in graphs is a very powerful mechanism which has been studied for quite a long time. In this paper we eventually provide a categorical theory of vertex rewriting and show how it can extend in a uniform way to node and pattern rewriting mechanisms in hypergraphs. Copyright 2001 Elsevier Science B.V." }, { "paper": "2093091422", "venue": "79244937", "year": "2001", "title": "a note on the numerical integration of the kdv equation via isospectral deformations", "label": [ "2779710842", "146630112", "127349201", "125565743" ], "author": [ "2918695197" ], "reference": [ "9124626", "1576347883", "1968228609", "1981041413", "2001020033", "2003813191", "2006409769", "2014723710", "2023137937", "2026787800", "2030659240", "2042388195", "2043301878", "2048129990", "2050660811", "2061356302", "2077144502", "2084564496", "2129610907", "2141320665", "2151249889", "2168771200", "2913502585" ], "abstract": "the main purpose of this paper is to test the performance of lie group integrators as applied to a semi discrete version of the kdv equation", "title_raw": "A note on the numerical integration of the KdV equation via isospectral deformations", "abstract_raw": "The main purpose of this paper is to test the performance of Lie group integrators as applied to a semi-discrete version of the KdV equation." }, { "paper": "2032320656", "venue": "985303", "year": "2001", "title": "parametric statistical modeling by minimum integrated square error", "label": [ "89106044", "105795698", "68022304", "90652560", "191462741", "102366305", "117251300", "185429906", "74021227" ], "author": [ "2305432101" ], "reference": [ "6544667", "79918814", "964001669", "1968956560", "1984499217", "1989898472", "1998378660", "1998793857", "2033894760", "2035730307", "2053762971", "2059393488", "2069888879", "2117812871", "2117890631", "2122759946", "2129249398", "2129476886", "2163288162", "2166698530", "2611591252", "2802066458", "3167891112" ], "abstract": "the likelihood function plays a central role in parametric and bayesian estimation as well as in nonparametric function estimation via local polynomial modeling however integrated square error has enjoyed a long tradition as the goodness of fit criterion of choice in nonparametric density estimation in this article i investigate the use of integrated square error or l2 distance as a theoretical and practical estimation tool for a variety of parametric statistical models i show that the asymptotic inefficiency of the parameters estimated by minimizing the integrated square error or l2estimation l2e criterion versus the maximum likelihood estimator is roughly that of the median versus the mean i demonstrate by example the well known result that minimum distance estimators including l2e are inherently robust however l2e does not require specification of any tuning factors found in robust likelihood algorithms l2e is particularly appropriate for analyzing massive datasets in which data cleanin", "title_raw": "Parametric Statistical Modeling by Minimum Integrated Square Error", "abstract_raw": "The likelihood function plays a central role in parametric and Bayesian estimation, as well as in nonparametric function estimation via local polynomial modeling. However, integrated square error has enjoyed a long tradition as the goodness-of-fit criterion of choice in nonparametric density estimation. In this article, I investigate the use of integrated square error, or L2 distance, as a theoretical and practical estimation tool for a variety of parametric statistical models. I show that the asymptotic inefficiency of the parameters estimated by minimizing the integrated square error or L2estimation (L2E) criterion versus the maximum likelihood estimator is roughly that of the median versus the mean. I demonstrate by example the well-known result that minimum distance estimators, including L2E, are inherently robust; however, L2E does not require specification of any tuning factors found in robust likelihood algorithms. L2E is particularly appropriate for analyzing massive datasets in which data cleanin..." }, { "paper": "1970151029", "venue": "61604500", "year": "2001", "title": "long range power law correlations in stock returns", "label": [ "87040749", "21689155", "149782125", "155512373" ], "author": [ "2258441787" ], "reference": [ "1503260956", "1598847143", "1966773887", "1973694910", "1975406821", "2002286553", "2005424182", "2017821362", "2036608004", "2037384889", "2049891816", "2055781590", "2066384319", "2075280911", "2092979507", "2111417375", "2132698309", "2157034884", "2165773639", "2221831393", "2341760625", "3124733080" ], "abstract": "abstract this study investigates long range power law correlations in us uk japanese german french and spanish stock markets using daily data and applying a recently developed residual analysis termed detrended fluctuation analysis dfa we quantify correlations for the returns absolute value of returns and square of returns the results show that there is little evidence of long range correlations in returns but there is strong evidence of long range correlation in absolute and squared returns for the absolute returns a cross over of approximately 41 days is found", "title_raw": "Long-range power-law correlations in stock returns", "abstract_raw": "Abstract This study investigates long-range power-law correlations in US, UK, Japanese, German, French and Spanish stock markets using daily data and applying a recently developed residual analysis termed detrended fluctuation analysis (DFA). We quantify correlations for the returns, absolute value of returns and square of returns. The results show that there is little evidence of long-range correlations in returns but there is strong evidence of long-range correlation in absolute and squared returns. For the absolute returns, a cross-over of approximately 41 days is found." }, { "paper": "2128169569", "venue": "61604500", "year": "2001", "title": "interior stokes flows with stick slip boundary conditions", "label": [ "12843", "2681867", "182310444", "2524010" ], "author": [ "2073698756", "2022481551" ], "reference": [ "1496798092", "1537038606", "1967028255", "1983538332", "2004218186", "2008871452", "2021364414", "2047637931", "2058193771", "2071488597", "2074110533", "2076327952", "2081343612", "2082675509", "2094453150", "2117740518", "2141789597" ], "abstract": "abstract two dimensional stokes flows generated by line singularities inside a circular cylinder are studied in the presence of stick slip boundary conditions for simplicity line singularities are assumed to be parallel to the cylinder axis all axes in the same plane the interior boundary value problem associated with these flows is solved in terms of a stream function analytic solutions are obtained for flows induced by a rotlet a potential source and stokeslets with axes radial normal or tangential to the cylinder by the fourier expansion method these solutions are used to plot streamline topologies of these flows and the flow patterns are studied as the slip parameter and the locations of the singularities are varied eddies of various sizes and shapes appear as the slip parameter is varied interesting flow patterns are observed in flows generated by a pair of rotlets in this case streamline patterns reveal interesting flow topologies some of the flow patterns observed here are similar to that of vortex mixing flows interior saddle points are found in these flows for certain values of the slip parameter and locations of the rotlets the flows induced by a source and a sink and a pair of stokeslets also exhibit interesting features the plots of the fluid velocity on the surface of the cylinder show the locations of surface stagnation points if they exist a study of the movement of surface stagnation points as the slip parameter and the locations of the singularities are varied shed some light on the qualitative features of the flow patterns the results presented may be relevant for a variety of applications including vortex mixing and journal bearing flows", "title_raw": "Interior Stokes flows with stick-slip boundary conditions", "abstract_raw": "Abstract Two-dimensional Stokes flows generated by line singularities inside a circular cylinder are studied in the presence of stick-slip boundary conditions. For simplicity, line singularities are assumed to be parallel to the cylinder axis, all axes in the same plane. The interior boundary value problem associated with these flows is solved in terms of a stream function. Analytic solutions are obtained for flows induced by a rotlet, a potential-source and Stokeslets with axes radial (normal) or tangential to the cylinder by the Fourier expansion method. These solutions are used to plot streamline topologies of these flows and the flow patterns are studied as the slip parameter and the locations of the singularities are varied. Eddies of various sizes and shapes appear as the slip parameter is varied. Interesting flow patterns are observed in flows generated by a pair of rotlets. In this case, streamline patterns reveal interesting flow topologies. Some of the flow patterns observed here are similar to that of vortex mixing flows. Interior saddle points are found in these flows for certain values of the slip parameter and locations of the rotlets. The flows induced by a source and a sink and a pair of Stokeslets also exhibit interesting features. The plots of the fluid velocity on the surface of the cylinder show the locations of surface stagnation points, if they exist. A study of the movement of surface stagnation points as the slip parameter and the locations of the singularities are varied shed some light on the qualitative features of the flow patterns. The results presented may be relevant for a variety of applications including vortex mixing and journal bearing flows." }, { "paper": "1565944194", "venue": "171170845", "year": "2001", "title": "quasi linear parabolic systems in divergence form with weak monotonicity", "label": [ "72169020", "164098820", "58442840", "114614502", "134306372", "45137528" ], "author": [ "665068612" ], "reference": [ "192999969", "1582617215", "1593038947", "1970594704", "1976831757", "1982194146", "2013858367", "2028997078", "2042261731", "2069241221", "2073078790", "2079951412", "2082458996", "2102478670", "2133077200", "2267680439", "2582171088", "3091814460" ], "abstract": "", "title_raw": "Quasi-linear parabolic systems in divergence form with weak monotonicity", "abstract_raw": "" }, { "paper": "2122833107", "venue": "23326474", "year": "2001", "title": "the inverse mean curvature flow and the riemannian penrose inequality", "label": [ "77791780", "175017881", "2780746412", "127813850", "42448751", "134306372", "2780125916", "14196021", "12520029", "202444582" ], "author": [ "1345789762", "80929560" ], "reference": [ "27223887", "68439621", "140502093", "207459370", "1493486054", "1502726343", "1523234800", "1526444941", "1529839413", "1531266017", "1567450093", "1603289878", "1617468839", "1866311589", "1886949331", "1963737869", "1963863559", "1974833386", "1974853348", "1980851479", "1981811853", "1983222338", "1983638909", "1984383823", "1988128007", "1996806140", "1998807035", "1999496216", "2008207062", "2008545398", "2014267680", "2015131483", "2015397846", "2017725235", "2020028702", "2022036502", "2028845750", "2029403139", "2032316144", "2035006568", "2035288209", "2036670771", "2038452797", "2045738464", "2046357915", "2050351112", "2050805923", "2052709408", "2052786183", "2055603467", "2057322547", "2057958367", "2063613245", "2064191127", "2065188583", "2065282571", "2068625544", "2073095078", "2073339005", "2078784623", "2081035355", "2082052570", "2083920473", "2084418336", "2086051335", "2087125593", "2091183249", "2105973581", "2107097129", "2111024532", "2123365287", "2131722468", "2136222487", "2149385785", "2162316402", "2166639909", "2230141477", "2231300147", "2312882967", "2320897328", "2323520495", "2326413593", "2482995298", "2494809215", "2497738626", "2517424376", "2784993291", "2998570353", "3006155934", "3022122637", "3024899784", "3025892004", "3039012497", "3147726880", "3176915431" ], "abstract": "let m be an asymptotically flat 3 manifold of nonnegative scalar curvature the riemannian penrose inequality states that the area of an outermost minimal surface n in m is bounded by the adm mass m according to the formula n 16 m 2 we develop a theory of weak solutions of the inverse mean curvature flow and employ it to prove this inequality for each connected component of n using geroch s monotonicity formula for the adm mass our method also proves positivity of bartnik s gravitational capacity by computing a positive lower bound for the mass purely in terms of local geometry", "title_raw": "The inverse mean curvature flow and the Riemannian Penrose Inequality", "abstract_raw": "Let M be an asymptotically flat 3-manifold of nonnegative scalar curvature. The Riemannian Penrose Inequality states that the area of an outermost minimal surface N in M is bounded by the ADM mass m according to the formula |N |\u2264 16\u03c0m 2 . We develop a theory of weak solutions of the inverse mean curvature flow, and employ it to prove this inequality for each connected component of N using Geroch\u2019s monotonicity formula for the ADM mass. Our method also proves positivity of Bartnik\u2019s gravitational capacity by computing a positive lower bound for the mass purely in terms of local geometry." }, { "paper": "2145434292", "venue": "168680287", "year": "2001", "title": "high resolution direction finding the missing data case", "label": [ "118006245", "205555498", "185142706", "176917957", "148893098", "83042196", "180877172", "137250428" ], "author": [ "2100052106", "2019767560" ], "reference": [ "1514558801", "1521023302", "1530239534", "1965392255", "1984922395", "2000804746", "2019945856", "2041050174", "2096740238", "2101658087", "2116414176", "2128131274", "2147855704", "2149755721", "2151517138", "2159530033", "2798909945" ], "abstract": "this paper considers the problem of estimating the direction of arrival doa of one or more signals using an array of sensors where some of the sensors fail to work before the measurement is completed methods for estimating the array output covariance matrix are discussed in particular the maximum likelihood ml estimate of this covariance matrix and its asymptotic accuracy are derived and discussed different covariance matrix estimates are used for doa estimation together with the music algorithm and with a covariance matching technique in contrast to music the covariance matching technique can utilize information on the estimation accuracy of the array covariance matrix and it is demonstrated that this yields a significant performance gain", "title_raw": "High-resolution direction finding: the missing data case", "abstract_raw": "This paper considers the problem of estimating the direction-of-arrival (DOA) of one or more signals using an array of sensors, where some of the sensors fail to work before the measurement is completed. Methods for estimating the array output covariance matrix are discussed. In particular, the maximum-likelihood (ML) estimate of this covariance matrix and its asymptotic accuracy are derived and discussed. Different covariance matrix estimates are used for DOA estimation together with the MUSIC algorithm and with a covariance matching technique. In contrast to MUSIC, the covariance matching technique can utilize information on the estimation accuracy of the array covariance matrix, and it is demonstrated that this yields a significant performance gain." }, { "paper": "1967005122", "venue": "70695507", "year": "2001", "title": "existence of solutions for nth order impulsive integro differential equations in a banach space", "label": [ "78045399", "19496378", "152306953", "114460028", "184908153", "134306372", "80739010", "132954091" ], "author": [ "2693572864" ], "reference": [], "abstract": "", "title_raw": "Existence of solutions for nth order impulsive integro-differential equations in a Banach space", "abstract_raw": "" }, { "paper": "2121880204", "venue": "35412551", "year": "2001", "title": "codon distributions in dna", "label": [ "43596424", "114614502", "164226766" ], "author": [ "2965689595", "2979981691", "2025088126", "2167054909" ], "reference": [ "1491853517", "2079656678" ], "abstract": "the codons 64 in number are distributed over the coding parts of dna sequences the distribution function is the plot of frequency versus rank of the codons these distributions are characterized by parameters that are almost universal i e gene independent there is but a small part that depends on the gene we present the theory to calculate the universal gene independent part the part that is gene specific however has undetermined overlaps and fluctuations", "title_raw": "Codon distributions in DNA.", "abstract_raw": "The codons, 64 in number, are distributed over the coding parts of DNA sequences. The distribution function is the plot of frequency versus rank of the codons. These distributions are characterized by parameters that are almost universal, i.e., gene independent. There is but a small part that depends on the gene. We present the theory to calculate the universal (gene-independent) part. The part that is gene-specific, however, has undetermined overlaps and fluctuations." }, { "paper": "2000842079", "venue": "70695507", "year": "2001", "title": "a globally convergent zero finding method", "label": [ "28826006" ], "author": [ "2489952154", "2140119838" ], "reference": [], "abstract": "", "title_raw": "A globally convergent zero finding method", "abstract_raw": "" }, { "paper": "2038295325", "venue": "200871675", "year": "2001", "title": "invariant algebraic curves and rational first integrals for planar polynomial vector fields", "label": [ "90119067", "134306372", "14040560", "134530390", "163635466", "17103678", "203701370", "113338500", "148607811" ], "author": [ "2233514507", "2105896736" ], "reference": [ "905432357", "1511314663", "1521065359", "1572239187", "1966102258", "1997290261", "2014749888", "2054404416", "2124141913", "2244572872", "2357722947", "2626734060", "3021722416" ], "abstract": "we present three main results the first two provide sufficient conditions in order that a planar polynomial vector field in c2 has a rational first integral and the third one studies the number of multiple points that an invariant algebraic curve of degree n of a planar polynomial vector field of degree m can have in function of m and n", "title_raw": "Invariant Algebraic Curves and Rational First Integrals for Planar Polynomial Vector Fields", "abstract_raw": "We present three main results. The first two provide sufficient conditions in order that a planar polynomial vector field in C2 has a rational first integral, and the third one studies the number of multiple points that an invariant algebraic curve of degree n of a planar polynomial vector field of degree m can have in function of m and n." }, { "paper": "2167818703", "venue": "184954342", "year": "2001", "title": "stochastic stability analysis of fault tolerant control systems in the presence of noise", "label": [ "74981072", "167964875", "60640748", "159886148", "31531917", "65244806" ], "author": [ "2232773033", "2658139946", "2151438581" ], "reference": [ "1489872560", "1910951908", "1989389658", "2008539673", "2011961136", "2026048181", "2095465703", "2095848205", "2097902574", "2138165690", "2527636117" ], "abstract": "the stochastic stability of fault tolerant control systems ftcss in the presence of noise are analyzed using the lyapunov function approach in particular the ftcs with a markovian fault detection and isolation process having transition probabilities conditioned on the state of another markovian process representing component failures is considered the almost sure asymptotic stability in probability and the exponential stability in the mean square are considered specifically a testable necessary and sufficient condition for the exponential stability in the mean square is derived a numerical example is presented to illustrate the theoretical analysis", "title_raw": "Stochastic stability analysis of fault-tolerant control systems in the presence of noise", "abstract_raw": "The stochastic stability of fault tolerant control systems (FTCSs) in the presence of noise are,analyzed using the Lyapunov function approach. In particular, the FTCS with a Markovian fault detection and isolation process having transition probabilities conditioned on the state of another Markovian process representing component failures, is considered. The almost sure asymptotic stability in probability and the exponential stability in the mean square are considered. Specifically, a testable necessary and sufficient condition for the exponential stability in the mean square is derived. A numerical example is presented to illustrate the theoretical analysis." }, { "paper": "2023099722", "venue": "79244937", "year": "2001", "title": "quantum field theory and phylogenetic branching", "label": [ "129844170", "149441793", "115047598", "48372109", "98763669", "54732982", "118615104" ], "author": [ "2144559467", "2137355353" ], "reference": [ "1981662601", "1982431194", "1992272836", "1992794927", "2008086050", "2032294865", "2133812685", "2140170649", "2156294277", "3125577167" ], "abstract": "a calculational framework is proposed for phylogenetics using nonlocal quantum field theories in hypercubic geometry quadratic terms in the hamiltonian give the underlying markov dynamics while higher degree terms represent branching events the spatial dimension l is the number of leaves of the evolutionary tree under consideration momentum conservation modulo 2 l in l 1 scattering corresponds to tree edge labelling using binary l vectors the bilocal quadratic term allows for momentum dependent rate constants only the tree or trees compatible with selected nonzero edge rates contribute to the branching probability distribution applications to models of evolutionary branching processes are discussed", "title_raw": "Quantum field theory and phylogenetic branching", "abstract_raw": "A calculational framework is proposed for phylogenetics, using nonlocal quantum field theories in hypercubic geometry. Quadratic terms in the Hamiltonian give the underlying Markov dynamics, while higher degree terms represent branching events. The spatial dimension L is the number of leaves of the evolutionary tree under consideration. Momentum conservation modulo 2\u00d7L in L\u21901 scattering corresponds to tree edge labelling using binary L-vectors. The bilocal quadratic term allows for momentum-dependent rate constants - only the tree or trees compatible with selected nonzero edge rates contribute to the branching probability distribution. Applications to models of evolutionary branching processes are discussed." }, { "paper": "2165659971", "venue": "8265502", "year": "2001", "title": "errors in variables in joint population pharmacokinetic pharmacodynamic modeling", "label": [ "111350023", "107673813", "105795698", "179024874", "119043178" ], "author": [ "2104347288", "2281472545" ], "reference": [ "112466462", "1515018788", "1535918788", "1553253964", "1554414628", "1822603823", "1994693914", "2019450513", "2026243710", "2032636277", "2048032060", "2049244891", "2057481945", "2058210451", "2078865702", "2083927895", "2114903378", "2130811481", "2153323645", "2153835394", "2313458941", "2797508167", "3003909768", "3042168128" ], "abstract": "summary pharmacokinetic pk models describe the relationship between the administered dose and the concentration of drug and or metabolite in the blood as a function of time pharmacodynamic pd models describe the relationship between the concentration in the blood or the dose and the biologic response population pk pd studies aim to determine the sources of variability in the observed concentrations responses across groups of individuals in this article we consider the joint modeling of pk pd data the natural approach is to specify a joint model in which the concentration and response data are simultaneously modeled unfortunately this approach may not be optimal if due to sparsity of concentration data an overly simple pk model is specified as an alternative we propose an errors in variables approach in which the observed concentration data are assumed to be measured with error without reference to a specific pk model we give an example of an analysis of pk pd data obtained following administration of an anticoagulant drug the study was originally carried out in order to make dosage recommendations the prior for the distribution of the true concentrations which may incorporate an individual s covariate information is derived as a predictive distribution from an earlier study the errors in variables approach is compared with the joint modeling approach and more naive methods in which the observed concentrations or the separately modeled concentrations are substituted into the response model throughout a bayesian approach is taken with implementation via markov chain monte carlo methods", "title_raw": "Errors-in-variables in joint population pharmacokinetic/pharmacodynamic modeling.", "abstract_raw": "Summary. Pharmacokinetic (PK) models describe the relationship between the administered dose and the concentration of drug (and/or metabolite) in the blood as a function of time. Pharmacodynamic (PD) models describe the relationship between the concentration in the blood (or the dose) and the biologic response. Population PK/PD studies aim to determine the sources of variability in the observed concentrations/responses across groups of individuals. In this article, we consider the joint modeling of PK/PD data. The natural approach is to specify a joint model in which the concentration and response data are simultaneously modeled. Unfortunately, this approach may not be optimal if, due to sparsity of concentration data, an overly simple PK model is specified. As an alternative, we propose an errors-in-variables approach in which the observed-concentration data are assumed to be measured with error without reference to a specific PK model. We give an example of an analysis of PK/PD data obtained following administration of an anticoagulant drug. The study was originally carried out in order to make dosage recommendations. The prior for the distribution of the true concentrations, which may incorporate an individual's covariate information, is derived as a predictive distribution from an earlier study. The errors-in-variables approach is compared with the joint modeling approach and more naive methods in which the observed concentrations, or the separately modeled concentrations, are substituted into the response model. Throughout, a Bayesian approach is taken with implementation via Markov chain Monte Carlo methods." }, { "paper": "1996741467", "venue": "201849197", "year": "2001", "title": "efficient methods using high accuracy approximate inertial manifolds", "label": [ "90119067", "2126413", "92244383", "158622935", "23463724", "186899397", "93779851", "134306372", "48753275" ], "author": [ "2274891609", "2055644316", "2602192703" ], "reference": [ "46023795", "1560060148", "1570440531", "1594759473", "1966901194", "1968512837", "1969344211", "1980194259", "1989497947", "1991557175", "1992992086", "1995551283", "2001111259", "2019676222", "2020329650", "2022980663", "2023743841", "2026283080", "2033338642", "2041999024", "2045906052", "2058525241", "2059874690", "2071036672", "2076699659", "2078707336", "2087312526", "2091680275", "2094091511", "2156538787", "2504857796", "2535973907", "3148800415" ], "abstract": "summary we extend the idea of the post processing galerkin method in the context of dissipative evolution equations to the nonlinear galerkin the filtered galerkin and the filtered nonlinear galerkin methods in general the post processing algorithm takes advantage of the fact that the error committed in the lower modes of the nonlinear galerkin method and galerkin method for approximating smooth bounded solutions is much smaller than the total error of the method in each case an improvement in accuracy is obtained by post processing these more accurate lower modes with an appropriately chosen highly accurate approximate inertial manifold aim we present numerical experiments that support the theoretical improvements in accuracy both the theory and computations are presented in the framework of a two dimensional reaction diffusion system with polynomial nonlinearity however the algorithm is very general and can be implemented for other dissipative evolution systems the computations clearly show the post processed filtered galerkin method to be the most efficient method", "title_raw": "Efficient methods using high accuracy approximate inertial manifolds", "abstract_raw": "Summary. We extend the idea of the post-processing Galerkin method, in the context of dissipative evolution equations, to the nonlinear Galerkin, the filtered Galerkin, and the filtered nonlinear Galerkin methods. In general, the post-processing algorithm takes advantage of the fact that the error committed in the lower modes of the nonlinear Galerkin method (and Galerkin method), for approximating smooth, bounded solutions, is much smaller than the total error of the method. In each case, an improvement in accuracy is obtained by post-processing these more accurate lower modes with an appropriately chosen, highly accurate, approximate inertial manifold (AIM). We present numerical experiments that support the theoretical improvements in accuracy. Both the theory and computations are presented in the framework of a two dimensional reaction-diffusion system with polynomial nonlinearity. However, the algorithm is very general and can be implemented for other dissipative evolution systems. The computations clearly show the post-processed filtered Galerkin method to be the most efficient method." }, { "paper": "1974315578", "venue": "62401924", "year": "2001", "title": "markov chain monte carlo methods for computing bayes factors a comparative review", "label": [ "158424031", "98763669", "149782125", "204693719", "142291917", "89106044", "111350023", "65965080", "95923904" ], "author": [ "2300985679", "2076774498" ], "reference": [ "42051514", "1488022545", "1494853941", "1511747216", "1582801283", "1603353793", "1975121416", "1989730355", "2008205728", "2015749074", "2021557681", "2024315245", "2027255954", "2032113267", "2033149996", "2034562813", "2038885294", "2047554048", "2057331441", "2083875149", "2089274743", "2106706098", "2108306139", "2111143989", "2120906154", "2127874106", "2130416410", "2138309709", "2160624840", "2168175751", "2322416564", "2330192890", "2471967545", "3008420551" ], "abstract": "the problem of calculating posterior probabilities for a collection of competing models and associated bayes factors continues to be a formidable challenge for applied bayesian statisticians current approaches that take advantage of modern markov chain monte carlo computing methods include those that attempt to sample over some form of the joint space created by the model indicators and the parameters for each model others that sample over the model space alone and still others that attempt to estimate the marginal likelihood of each model directly because the collection of these is equivalent to the collection of model probabilities themselves we review several methods and compare them in the context of three examples a simple regression example a more challenging hierarchical longitudinal model and a binary data latent variable model we find that the joint model parameter space search methods perform adequately but can be difficult to program and tune whereas the marginal likelihood methods o", "title_raw": "Markov chain monte carlo methods for computing bayes factors: A comparative review", "abstract_raw": "The problem of calculating posterior probabilities for a collection of competing models and associated Bayes factors continues to be a formidable challenge for applied Bayesian statisticians. Current approaches that take advantage of modern Markov chain Monte Carlo computing methods include those that attempt to sample over some form of the joint space created by the model indicators and the parameters for each model, others that sample over the model space alone, and still others that attempt to estimate the marginal likelihood of each model directly (because the collection of these is equivalent to the collection of model probabilities themselves). We review several methods and compare them in the context of three examples: a simple regression example, a more challenging hierarchical longitudinal model, and a binary data latent variable model. We find that the joint model-parameter space search methods perform adequately but can be difficult to program and tune, whereas the marginal likelihood methods o..." }, { "paper": "2034722860", "venue": "151579836", "year": "2001", "title": "lp and bmo bounds of weighted hardy littlewood averages", "label": [ "134306372", "68386474", "114614502", "34388435", "42178598", "142195825" ], "author": [ "2757522482" ], "reference": [ "49357027", "187809917", "1584610719", "1967600293", "2001657683", "2012324599", "2029282681", "2549617658" ], "abstract": "abstract this paper characterizes those nonnegative functions defined on 0 1 for which the weighted hardy littlewood average u f 0 1 f t t dt is bounded on either l p r n p 1 or bmo r n meanwhile the corresponding operator norms are worked out", "title_raw": "Lp and BMO Bounds of Weighted Hardy\u2013Littlewood Averages", "abstract_raw": "Abstract This paper characterizes those nonnegative functions \u03c8 defined on [0,\u00a01] for which the weighted Hardy\u2013Littlewood average U \u03c8 :\u00a0 f \u00a0\u2192\u00a0\u222b 0 1 f ( t \u00b7)\u03c8( t ) dt is bounded on either L p ( R n ),\u00a0 p \u00a0\u2208\u00a0[1,\u00a0\u221e], or BMO ( R n ). Meanwhile, the corresponding operator norms are worked out." }, { "paper": "1981778446", "venue": "99182027", "year": "2001", "title": "acoustic scattering by two spheres multiple scattering and symmetry considerations", "label": [ "44306375", "2778242569", "134306372", "163681178", "2524010", "182310444" ], "author": [ "2307535166", "2004983128" ], "reference": [ "4363625", "173181334", "560865216", "1964415194", "1978285059", "1982976532", "1984948727", "2001392480", "2021207484", "2024375370", "2036477485", "2053183578", "2074480171", "2083459089", "2798456356", "2995136929", "3004239172", "3010782316" ], "abstract": "abstract acoustic scattering by two identical spheres is theoretically numerically and experimentally studied by highlighting the role of the symmetries of the scatterer incident and scattered fields are expanded over the different irreducible representations of d h the continuous symmetry group of the scatterer then from the boundary conditions one obtains for each irreducible representation an infinite system of linear complex algebraic equations where the unknown scattering coefficients are uncoupled this feature greatly simplifies the treatment of the problem and speeds up calculations farfield form functions are computed in the cases of neumann boundary conditions rigid spheres and elastic boundary conditions elastic spheres immersed in water a series of experiments based on ultrasonic spectroscopy is performed in the case of two stainless steel spheres immersed in water the comparison between the theoretical and the experimental results provides quite a good agreement", "title_raw": "ACOUSTIC SCATTERING BY TWO SPHERES: MULTIPLE SCATTERING AND SYMMETRY CONSIDERATIONS", "abstract_raw": "Abstract Acoustic scattering by two identical spheres is theoretically, numerically and experimentally studied by highlighting the role of the symmetries of the scatterer. Incident and scattered fields are expanded over the different irreducible representations of D \u221e h , the continuous symmetry group of the scatterer. Then, from the boundary conditions, one obtains for each irreducible representation an infinite system of linear complex algebraic equations where the unknown scattering coefficients are uncoupled. This feature greatly simplifies the treatment of the problem and speeds up calculations. Farfield form functions are computed in the cases of Neumann boundary conditions (rigid spheres) and elastic boundary conditions (elastic spheres immersed in water). A series of experiments based on ultrasonic spectroscopy is performed in the case of two stainless-steel spheres immersed in water. The comparison between the theoretical and the experimental results provides quite a good agreement." }, { "paper": "2127033705", "venue": "55189604", "year": "2001", "title": "meta analysis of binary data which within study variance estimate to use", "label": [ "151956035", "16012445", "140331021", "48921125", "149782125", "2779190172", "204016326", "105795698", "129848803" ], "author": [ "2791892665", "789620462", "1969742643" ], "reference": [ "2017137572", "2041553549", "2206084048", "2419330808", "2746212852" ], "abstract": "we applied a mixed effects model to investigate between and within study variation in improvement rates of 180 schizophrenia outcome studies the between study variation was explained by the fixed study characteristics and an additional random study effect both rate difference and logit models were used for a binary proportion outcome p i with sample size n i in the ith study circumflexp i 1 circumflexp i n 1 is the usual estimate of the within study variance sigma i 2 in the logit model where circumflexpi is the sample mean of the binary outcome for subjects in study i this estimate can be highly correlated with logit circumflexp i we used macronp i 1 macronp n i 1 as an alternative estimate of sigma i 2 where macronp is the weighted mean of circumflexp i s we estimated regression coefficients beta of the fixed effects and the variance tau 2 of the random study effect using a quasi likelihood estimating equations approach using the schizophrenia meta analysis data we demonstrated how the choice of the estimate of sigma 2 i affects the resulting estimates of beta and tau 2 we also conducted a simulation study to evaluate the performance of the two estimates of sigma 2 i in different conditions where the conditions vary by number of studies and study size using the schizophrenia meta analysis data the estimates of beta and tau 2 were quite different when different estimates of sigma 2 i were used in the logit model the simulation study showed that the estimates of beta and tau 2 were less biased and the 95 per cent ci coverage was closer to 95 per cent when the estimate of sigma 2 i was macronp 1 macronp n i 1 rather than circumflexp i 1 circumflexp n i 1 finally we showed that a simple regression analysis is not appropriate unless tau 2 is much larger than sigma 2 i or a robust variance is used", "title_raw": "Meta-analysis of binary data: which within study variance estimate to use?", "abstract_raw": "We applied a mixed effects model to investigate between- and within-study variation in improvement rates of 180 schizophrenia outcome studies. The between-study variation was explained by the fixed study characteristics and an additional random study effect. Both rate difference and logit models were used. For a binary proportion outcome p(i) with sample size n(i) in the ith study, (circumflexp(i)(1-circumflexp(i))n)(-1) is the usual estimate of the within-study variance sigma(i)(2) in the logit model, where circumflexpi) is the sample mean of the binary outcome for subjects in study i. This estimate can be highly correlated with logit(circumflexp(i)). We used (macronp(i)(1-macronp)n(i))(-1) as an alternative estimate of sigma(i)(2), where macronp is the weighted mean of circumflexp(i)'s. We estimated regression coefficients (beta) of the fixed effects and the variance (tau(2)) of the random study effect using a quasi-likelihood estimating equations approach. Using the schizophrenia meta-analysis data, we demonstrated how the choice of the estimate of sigma(2)(i) affects the resulting estimates of beta and tau(2). We also conducted a simulation study to evaluate the performance of the two estimates of sigma(2)(i) in different conditions, where the conditions vary by number of studies and study size. Using the schizophrenia meta-analysis data, the estimates of beta and tau(2) were quite different when different estimates of sigma(2)(i) were used in the logit model. The simulation study showed that the estimates of beta and tau(2) were less biased, and the 95 per cent CI coverage was closer to 95 per cent when the estimate of sigma(2)(i) was (macronp(1-macronp)n(i))(-1) rather than (circumflexp(i)(1-circumflexp)n(i))(-1). Finally, we showed that a simple regression analysis is not appropriate unless tau(2) is much larger than sigma(2)(i), or a robust variance is used." }, { "paper": "2019095613", "venue": "95464858", "year": "2001", "title": "nonparametric estimation of a generalized additive model with an unknown link function", "label": [ "28826006", "115311070", "185429906", "102366305", "105795698", "186215838", "122123141", "138405894", "42747912" ], "author": [ "2134661870" ], "reference": [ "1493074449", "1551610462", "1919182626", "1965650400", "1972320266", "2005747881", "2008986601", "2010029425", "2030748132", "2033148801", "2034180713", "2038845890", "2053200087", "2063846640", "2069888879", "2078658856", "2082916428", "2083610611", "2091630557", "2092835732", "2096664050", "2122643824", "2129905273", "2136175429", "2162430620", "2184281732", "2797333853", "3123743130" ], "abstract": "mean of a random scalar y conditional on a random vector x e rd let h x e yix x denote the conditional mean function this paper is concerned with estimating h under weak assumptions about its functional form when x is a multidimensional continuous random variable the paper describes a model that nests single index additive and multiplicative models and that can be estimated with a faster rate of convergence in probability than can a fully nonparametric model nonparametric estimation of h is usually unattractive when x is multidimensional the rate of convergence of nonparametric estimators decreases rapidly as the dimension of x increases and nonparametric estimates can be very imprecise with samples of practical size when x is multidimensional the curse of dimensionality this problem can be overcome through the use of dimension reduction methods they reduce the effective dimension of the estimation problem by making assumptions about the functional form of h that are stronger than those of a fully nonparametric estimator but weaker than those of a finite dimensional parametric model one method of dimension reduction is semiparametric single index modeling the best known and most easily estimated semiparametric single index model assumes that 1 1 h x g 3 x where 3 is an unknown d x 1 vector and g is an unknown function the vector 3 can be estimated with an n 1 2 rate of convergence in probability which is the rate that would be obtained if g were known han 1987 hardle and stoker 1989 horowitz and hardle 1996 ichimura 1993 klein and spady 1993 newey and stoker 1993 powell stock and stoker 1989 sherman 1993 stoker 1991 g can be estimated with the rate of convergence n r 2r 1 where r is an integer that depends on the smoothness of g but not on d dimension reduction can also be achieved by using a nonparametric generalized additive model in such a model", "title_raw": "NONPARAMETRIC ESTIMATION OF A GENERALIZED ADDITIVE MODEL WITH AN UNKNOWN LINK FUNCTION", "abstract_raw": "mean of a random scalar Y conditional on a random vector X E Rd. Let H(x) E(YIX = x) denote the conditional mean function. This paper is concerned with estimating H under weak assumptions about its functional form when X is a multidimensional, continuous random variable. The paper describes a model that nests single-index, additive, and multiplicative models and that can be estimated with a faster rate of convergence in probability than can a fully nonparametric model. Nonparametric estimation of H is usually unattractive when X is multidimensional. The rate of convergence of nonparametric estimators decreases rapidly as the dimension of X increases, and nonparametric estimates can be very imprecise with samples of practical size when X is multidimensional (the curse of dimensionality). This problem can be overcome through the use of dimension-reduction methods. They reduce the effective dimension of the estimation problem by making assumptions about the functional form of H that are stronger than those of a fully nonparametric estimator but weaker than those of a finite-dimensional parametric model. One method of dimension reduction is semiparametric single-index modeling. The best known and most easily estimated semiparametric single-index model assumes that (1.1) H(x) = G( 3'x), where ,3 is an unknown d x 1 vector and G is an unknown function. The vector /3 can be estimated with an n - 1/2 rate of convergence in probability, which is the rate that would be obtained if G were known (Han (1987), Hardle and Stoker (1989), Horowitz and Hardle (1996), Ichimura (1993), Klein and Spady (1993), Newey and Stoker (1993), Powell, Stock, and Stoker (1989), Sherman (1993), Stoker (1991)). G can be estimated with the rate of convergence n -r/(2r+ 1), where r is an integer that depends on the smoothness of G but not on d. Dimension reduction can also be achieved by using a nonparametric generalized additive model. In such a model," }, { "paper": "2167175335", "venue": "184954342", "year": "2001", "title": "a continuous feedback approach to global strong stabilization of nonlinear systems", "label": [ "112972136", "88337583", "167964875", "158622935", "171912257", "65244806" ], "author": [ "2343504544", "2439977597" ], "reference": [ "151838022", "847955268", "1527177198", "1574639858", "1964373008", "1966486423", "1967548315", "1971044547", "1975897393", "1985578018", "1994951210", "2011725660", "2033008153", "2033449675", "2041076275", "2080688746", "2102410300", "2103666082", "2125809742", "2140531311", "2143810732", "2148056700", "2154369072", "2156982271", "2171245641", "2179220878", "3160954918" ], "abstract": "we present a continuous feedback approach to the problem of global strong stabilization for genuinely nonlinear systems that may not be stabilized even locally by any smooth feedback we describe conditions under which it is possible to prove while no smooth controllers exist the existence of continuous state feedback control laws that achieve global strong stability gss in the sense of kurzweil 1956 the proof is constructive and carried out by developing a machinery which combines the theory of homogeneous systems with the idea of adding a power integrator for the explicit construction of globally stabilizing continuous controllers we then illustrate by means of examples how this machinery can be used to overcome the topological obstruction caused by smooth feedback and hence resulting in new solutions to a variety of open control problems including global stabilization of an underactuated unstable two degree of freedom mechanical system", "title_raw": "A continuous feedback approach to global strong stabilization of nonlinear systems", "abstract_raw": "We present a continuous feedback approach to the problem of global strong stabilization, for genuinely nonlinear systems that may not be stabilized, even locally, by any smooth feedback. We describe conditions under which it is possible to prove, while no smooth controllers exist, the existence of continuous state feedback control laws that achieve global strong stability (GSS) in the sense of Kurzweil (1956). The proof is constructive and carried out by developing a machinery, which combines the theory of homogeneous systems with the idea of adding a power integrator, for the explicit construction of globally stabilizing continuous controllers. We then illustrate, by means of examples, how this machinery can be used to overcome the topological obstruction caused by smooth feedback, and hence resulting in new solutions to a variety of open control problems, including global stabilization of an underactuated unstable two degree of freedom mechanical system." }, { "paper": "1969202780", "venue": "56603566", "year": "2001", "title": "adaptive low gain integral control of linear systems with input and output nonlinearities", "label": [ "107464732", "2834757", "22324862", "65244806", "2779554487", "158622935", "6802819", "167964875" ], "author": [ "1971082492", "1875522714", "2116042285" ], "reference": [ "1551360398", "1564602840", "1981324125", "2037672885", "2039646446", "2077418568", "2095186356", "2121342825", "2129175987", "2140000341", "2160882803" ], "abstract": "abstract an adaptive low gain integral control framework is developed for tracking constant reference signals in a context of finite dimensional exponentially stable single input single output linear systems with positive steady state gain and subject to locally lipschitz monotone input and output nonlinearities of a general nature the input nonlinearity is required to satisfy an asymptotic growth condition of sufficient generality to accommodate nonlinearities ranging from saturation to exponential growth and the output nonlinearity is required to satisfy a sector constraint in those cases wherein the input nonlinearity is unbounded", "title_raw": "Adaptive low-gain integral control of linear systems with input and output nonlinearities", "abstract_raw": "Abstract An adaptive low-gain integral control framework is developed for tracking constant reference signals in a context of finite-dimensional, exponentially stable, single-input, single-output linear systems with positive steady-state gain and subject to locally Lipschitz, monotone input and output nonlinearities of a general nature: the input nonlinearity is required to satisfy an asymptotic growth condition (of sufficient generality to accommodate nonlinearities ranging from saturation to exponential growth) and the output nonlinearity is required to satisfy a sector constraint in those cases wherein the input nonlinearity is unbounded." }, { "paper": "1987019169", "venue": "70695507", "year": "2001", "title": "a monotone iteration for concentrated vortices", "label": [ "2505209", "167431342", "196512905", "2834757", "162443888", "192702615", "117586675", "43143463", "134306372" ], "author": [ "2173155820", "2600551411" ], "reference": [ "109279371", "1491583281", "1498211808", "1866311589", "1983760800", "2002996216", "2004044311", "2009403598", "2053065715", "2061543546", "2068902767", "2090612238", "2118283004", "2170574499", "2312958683", "2326714443", "2494871294", "3023815666" ], "abstract": "", "title_raw": "A monotone iteration for concentrated vortices", "abstract_raw": "" }, { "paper": "2043806000", "venue": "103321696", "year": "2001", "title": "a note on scheduling flowshops with flexible stage ordering", "label": [ "126255220", "206729178", "181789720", "127705205" ], "author": [ "731959834", "93714775" ], "reference": [ "964861289", "1488422606", "1967955864", "1996504887", "2006652553", "2019054090", "2081422334", "2146335075", "2576116471" ], "abstract": "abstract we develop an asymptotically optimal heuristic for the m stage flowshop problem with flexible stage ordering our algorithm supplies a job permutation which has the same worst case absolute bound for all possible m orderings of the m stages the development of our algorithm is motivated by the observation that it is sometimes beneficial to reverse the processing order in multi stage manufacturing processes our algorithm facilitates the development of a job sequence a priori before the processing order is determined", "title_raw": "A note on scheduling flowshops with flexible stage ordering", "abstract_raw": "Abstract We develop an asymptotically optimal heuristic for the m -stage flowshop problem with flexible stage ordering. Our algorithm supplies a job permutation which has the same worst case absolute bound for all possible m ! orderings of the m stages. The development of our algorithm is motivated by the observation that it is sometimes beneficial to reverse the processing order in multi-stage manufacturing processes. Our algorithm facilitates the development of a job sequence a priori before the processing order is determined." }, { "paper": "1979412324", "venue": "184147796", "year": "2001", "title": "inverse and direct images for quantum weyl algebras", "label": [ "66411559", "202444582", "100899422", "53216431", "148647251", "189612460", "2779152781", "199361701", "155058155" ], "author": [ "2203204455" ], "reference": [ "624050784", "1594179862", "1596655614", "1965303461", "1970483208", "1982074348", "1984801020", "2009520459", "2015321008", "2072999969", "2101887648", "2140875268", "2160671804", "2464008477", "2612451553", "2622180130", "2998252056" ], "abstract": "in 18 wess and zumino gave a method for constructing noncommutative differential calculus or de rham complex on the quantum affine space associated to a hecke symmetry r also they constructed the corresponding algebra of linear differential operators since the algebra of linear differential operators on the n dimensional affine space is the n th weyl algebra this algebra is regarded as a quantum analogue of the weyl algebra and called the quantum weyl algebra associated to r let rq p be the multiparameter r matrix of the quantum deformation of gln parameterized by a scalar q and an n n matrix p pij in 3 for the quantum weyl algebra an q p associated to rq p demidov 6 and rigal 15 consider quantum versions of classical theory of the weyl algebras including bernstein s inequality and some ring theoretic properties of an q p have been studied in 1 2 9 10 11 etc in 11 jordan constructed a simple localization bn q p of an q p which is a better analogue of the weyl algebra an from the point of view of noncommutative ring theory the purpose of this paper is to define an analogue of the inverse and direct images for the quantum weyl algebra an q p and to investigate their properties in particular we prove a quantum analogue of kashiwara s theorem section 4 and consider preservation of holonomicity under inverse and direct images section 5 throughout this paper we fix a ground field k and let q be a nonzero element of k such that q is not a root of unity and we use the following q integer notation", "title_raw": "Inverse and Direct Images for Quantum Weyl Algebras", "abstract_raw": "In [18] Wess and Zumino gave a method for constructing noncommutative differential calculus (or de Rham complex) on the quantum affine space associated to a Hecke symmetry R. Also, they constructed the corresponding algebra of linear differential operators. Since the algebra of linear differential operators on the n-dimensional affine space is the n-th Weyl algebra, this algebra is regarded as a quantum analogue of the Weyl algebra, and called the quantum Weyl algebra (associated to R). Let Rq,P be the multiparameter R-matrix of the quantum deformation of GLn parameterized by a scalar q and an n\u00d7 n matrix P = (pij) in [3]. For the quantum Weyl algebra An(q, P ) associated to Rq,P , Demidov [6] and Rigal [15] consider quantum versions of classical theory of the Weyl algebras including Bernstein\u2019s inequality. And, some ring-theoretic properties of An(q, P ) have been studied in [1, 2, 9, 10, 11] etc. In [11] Jordan constructed a simple localization Bn(q, P ) of An(q, P ), which is a better analogue of the Weyl algebra An from the point of view of noncommutative ring theory. The purpose of this paper is to define an analogue of the inverse and direct images for the quantum Weyl algebra An(q, P ), and to investigate their properties. In particular, we prove a quantum analogue of Kashiwara\u2019s theorem (Section 4), and consider preservation of holonomicity under inverse and direct images (Section 5). Throughout this paper we fix a ground field K and let q be a nonzero element of K such that q is not a root of unity, and we use the following q-integer notation:" }, { "paper": "1995436845", "venue": "73535193", "year": "2001", "title": "some practical applications of block recursive matrices", "label": [ "1675596", "125565743", "57691317" ], "author": [ "2038023082", "2809728165" ], "reference": [ "1975619882", "2008331006", "2063973166", "2081951113", "2116124511", "2164423928", "2798909945", "3108418035" ], "abstract": "abstract the theory of block recursive matrices has been revealed to be a flexible tool in order to easily prove some properties concerning the classical theory of multiwavelet functions multiwavelets are a recent generalization of scalar wavelets and their principal advantage compared to scalar wavelets is that they allow us to work with a higher number of degrees of freedom in this work we present some applications of the block recursive matrix theory to the solution of some practical problems more precisely we will show that the possibility of explicitly describing the product of particular block recursive matrices and of their transposes allows us to solve the problems o fthe construction and evaluation of multiwavelet functions quite simply", "title_raw": "Some practical applications of block recursive matrices", "abstract_raw": "Abstract The theory of block recursive matrices has been revealed to be a flexible tool in order to easily prove some properties concerning the classical theory of multiwavelet functions. Multiwavelets are a recent generalization of scalar wavelets, and their principal advantage, compared to scalar wavelets, is that they allow us to work with a higher number of degrees of freedom. In this work, we present some applications of the block recursive matrix theory to the solution of some practical problems. More precisely, we will show that the possibility of explicitly describing the product of particular block recursive matrices and of their transposes allows us to solve the problems o fthe construction and evaluation of multiwavelet functions quite simply." }, { "paper": "2043473320", "venue": "159544283", "year": "2001", "title": "semigroups of zero entropy", "label": [ "207405024", "42747912", "118615104", "162392398", "114614502", "125252325", "70567897" ], "author": [ "302058520" ], "reference": [ "432292965", "1487875360", "1514324498", "1523977407", "1530431073", "1964886055", "2047214097" ], "abstract": "abstract let s be the multiplicative semigroup generated by a finite set s 1 s k of n by n matrices over a field for every positive integer m let l m denote the number of sequences i 1 i m such that the corresponding product s i 1 s i m is nonzero we say that the entropy of s is zero if 0 is the limit of the sequence log l m m the structure of semigroups of entropy zero is described", "title_raw": "Semigroups of zero entropy", "abstract_raw": "Abstract Let S be the multiplicative semigroup generated by a finite set {s 1 ,\u2026,s k } of n by n matrices over a field. For every positive integer m , let l(m) denote the number of sequences i 1 ,\u2026,i m such that the corresponding product s i 1 \u22efs i m is nonzero. We say that the entropy of S is zero if 0 is the limit of the sequence log l(m)/m . The structure of semigroups of entropy zero is described." }, { "paper": "2076592194", "venue": "35412551", "year": "2001", "title": "experimental study of miscible displacement fronts in rough self affine fractures", "label": [ "2775953907", "2524010", "40636538", "96835011" ], "author": [ "2082905758", "2171440637", "2586704752" ], "reference": [], "abstract": "miscible fluid displacements are studied experimentally in a radial flow between two complementary replica of a self affine rough granite fracture surface the displacement front between a dyed fluid and a transparent but otherwise identical one is followed optically through one face of the cell the evolution of its geometry is studied as a function of time flow rate and normal and lateral relative displacements between the two surfaces for a purely normal displacement the front is globally smooth due to the constant local distance between surfaces for a finite lateral displacement the front is rough due to spatial variations of this distance its geometry is fractal and its dimension is directly related to the hurst exponent h ensuremath approx 0 8 of the surface the fractal regime is observed only above a lower cut off scale that depends on the normal spacing of the surfaces and an upper one that increases with the injected volume and with the amplitude of the lateral displacement", "title_raw": "Experimental study of miscible displacement fronts in rough self-affine fractures.", "abstract_raw": "Miscible fluid displacements are studied experimentally in a radial flow between two complementary replica of a self-affine rough granite fracture surface. The displacement front between a dyed fluid and a transparent (but otherwise identical) one is followed optically through one face of the cell. The evolution of its geometry is studied as a function of time, flow-rate, and normal and lateral relative displacements between the two surfaces. For a purely normal displacement, the front is globally smooth, due to the constant local distance between surfaces. For a finite lateral displacement, the front is rough due to spatial variations of this distance; its geometry is fractal and its dimension is directly related to the Hurst exponent $H\\ensuremath{\\approx}0.8$ of the surface. The fractal regime is observed only above a lower cut-off scale that depends on the normal spacing of the surfaces and an upper one that increases with the injected volume and with the amplitude of the lateral displacement." }, { "paper": "2020912620", "venue": "70695507", "year": "2001", "title": "generalized vector variational inequalities over product sets", "label": [ "90673727", "161999928", "28826006", "523394659" ], "author": [ "2463088926", "2565172940", "2428818319" ], "reference": [], "abstract": "", "title_raw": "Generalized vector variational inequalities over product sets", "abstract_raw": "" }, { "paper": "2006545123", "venue": "102439543", "year": "2001", "title": "analysis of a bilinear finite element for shallow shells i approximation of inextensional deformations", "label": [ "2524010", "8828549", "59372978", "205203396", "135628077", "182310444", "29660869" ], "author": [ "2019369446", "1901712981" ], "reference": [ "1598463102", "1602485028", "2049917851", "2049996170", "2059694388", "2078548624", "2090329921", "2129971090", "2131130542" ], "abstract": "we consider a bilinear reduced strain finite element formulation for a shallow shell model of reissner naghdi type the formulation is closely related to the facet models used in engineering practice we estimate the error of this scheme when approximating an inextensional displacement field we make the strong assumptions that the domain and the finite element mesh are rectangular and that the boundary conditions are periodic and the mesh uniform in one of the coordinate directions we prove then that for sufficiently smooth fields the convergence rate in the energy norm is of optimal order uniformly with respect to the shell thickness in case of elliptic shell geometry the error bound is furthermore quasioptimal whereas in parabolic and hyperbolic geometries slightly enhanced smoothness is required except for the degenerate cases where the characteristic lines are parallel with the mesh lines the error bound is shown to be sharp", "title_raw": "Analysis of a bilinear finite element for shallow shells I: Approximation of inextensional deformations", "abstract_raw": "We consider a bilinear reduced-strain finite element formulation for a shallow shell model of Reissner-Naghdi type. The formulation is closely related to the facet models used in engineering practice. We estimate the error of this scheme when approximating an inextensional displacement field. We make the strong assumptions that the domain and the finite element mesh are rectangular and that the boundary conditions are periodic and the mesh uniform in one of the coordinate directions. We prove then that for sufficiently smooth fields, the convergence rate in the energy norm is of optimal order uniformly with respect to the shell thickness. In case of elliptic shell geometry the error bound is furthermore quasioptimal, whereas in parabolic and hyperbolic geometries slightly enhanced smoothness is required, except for the degenerate cases where the characteristic lines are parallel with the mesh lines. The error bound is shown to be sharp." }, { "paper": "2043436415", "venue": "70695507", "year": "2001", "title": "existence of multiple positive radial solutions for a semilinear elliptic system on an unbounded domain", "label": [ "134306372" ], "author": [ "2477834682" ], "reference": [], "abstract": "", "title_raw": "Existence of multiple positive radial solutions for a semilinear elliptic system on an unbounded domain", "abstract_raw": "" }, { "paper": "2010380289", "venue": "54953690", "year": "2001", "title": "a class of nonlinear schrodinger equations with concentrated nonlinearity", "label": [ "63036615", "83774755", "158622935", "162392398", "59372978", "134306372", "99730327" ], "author": [ "2106499414", "2081041847" ], "reference": [ "625396986", "1489991626", "1585894047", "1666990550", "1977337304", "1987641734", "2033880071", "2042754533", "2050330601", "2062868650", "2073004468", "2488968130", "2497365893" ], "abstract": "abstract we consider the nonlinear schrodinger equation in dimension one with a nonlinearity concentrated in a finite number of points detailed results on the local existence of the solution in fractional sobolev spaces h are given we also prove the conservation of the l 2 norm and the energy of the solution and give a global existence result for repulsive and weakly attractive interaction in the space h 1 finally we prove the existence of blow up solutions for strongly attractive interaction", "title_raw": "A Class of Nonlinear Schr\u00f6dinger Equations with Concentrated Nonlinearity", "abstract_raw": "Abstract We consider the nonlinear Schrodinger equation in dimension one with a nonlinearity concentrated in a finite number of points. Detailed results on the local existence of the solution in fractional Sobolev spaces H \u03c1 are given. We also prove the conservation of the L 2 -norm and the energy of the solution and give a global existence result for repulsive and weakly attractive interaction in the space H 1 . Finally we prove the existence of blow-up solutions for strongly attractive interaction." }, { "paper": "1993503008", "venue": "169411308", "year": "2001", "title": "effective lengths of intervals to improve forecasting in fuzzy time series", "label": [ "135616667", "149782125", "110121322", "136167449", "105795698", "121152540" ], "author": [ "2689454717" ], "reference": [ "1971869067", "2131453387", "2168577773" ], "abstract": "abstract length of intervals affects forecasting results in fuzzy time series unfortunately the issue of how to determine effective lengths of intervals has not been touched in previous studies this study proposes distribution and average based length to approach this issue distribution based length is the largest length smaller than at least half the first differences of data average based length is set to one half the average of the first differences of data empirical analyses show that distribution and average based lengths are simple to calculate and can greatly improve forecasting results in particular they are superior to the randomly chosen lengths used in previous studies", "title_raw": "Effective lengths of intervals to improve forecasting in fuzzy time series", "abstract_raw": "Abstract Length of intervals affects forecasting results in fuzzy time series. Unfortunately, the issue of how to determine effective lengths of intervals has not been touched in previous studies. This study proposes distribution- and average-based length to approach this issue. Distribution-based length is the largest length smaller than at least half the first differences of data. Average-based length is set to one half the average of the first differences of data. Empirical analyses show that distribution- and average-based lengths are simple to calculate and can greatly improve forecasting results; in particular, they are superior to the randomly chosen lengths used in previous studies." }, { "paper": "2034715708", "venue": "73535193", "year": "2001", "title": "accuracy conditions of multivariate refinable vector in frequence domain", "label": [ "162392398", "19118579", "2779557106", "62168872", "8642366", "123419369", "137127113", "118615104", "58442840" ], "author": [ "2598323094", "2652104746", "2690915305" ], "reference": [ "1492181480", "1964715865", "1971998705", "1973858921", "2001560283", "2003397889", "2029056898", "2032753235", "2048247182", "2061160109", "2061205034", "2062024414", "2090055402", "2144471752", "2798987218" ], "abstract": "abstract assume that x 1 x r x x rd is a vector valued function satisfying the refinement equation x k c k ax k for some finite set of zd and some r r matrices ck in 1 the requirements for to have accuracy p are given in terms of some complicated matrix generated by mask but how to characterize accuracy via symbol is an unsolved question in 1 in this paper we give accuracy conditions in frequency domain i e conditions 1 19 and 1 20 by using accuracy conditions 1 19 and 1 20 we construct the superfunction which is very important to characterize approximation of shift invariant space furthermore we prove that see section 3 condition 1 19 is sufficient for refinable smooth functions to have accuracy p in the case of isotropic matrix dilation i e 1 20 is redundant", "title_raw": "Accuracy conditions of multivariate refinable vector in frequence domain", "abstract_raw": "Abstract Assume that \u0424(x) = (\u0444 1 (x),\u2026,\u0444 r (x)) \u22a4 , x \u2208 Rd is a vector-valued function satisfying the refinement equation \u0424(x) = \u03a3 k\u03f5\u039b c k \u0424(Ax \u2212 k) for some finite set \u039b of Zd and some r \u00d7 r matrices ck. In [1], the requirements for \u03a6 to have accuracy p are given in terms of some complicated matrix generated by mask. But how to characterize accuracy via symbol is an unsolved question in [1]. In this paper, we give accuracy conditions in frequency domain, i.e., conditions (1.19) and (1.20). By using accuracy conditions (1.19) and (1.20), we construct the superfunction which is very important to characterize approximation of shift-invariant space. Furthermore, we prove that (see Section 3) condition (1.19) is sufficient for refinable smooth functions to have accuracy p in the case of isotropic matrix dilation (i.e., (1.20) is redundant)." }, { "paper": "2024946307", "venue": "171170845", "year": "2001", "title": "curvature and characteristic numbers of hyper kahler manifolds", "label": [ "202444582", "2780209797", "195065555", "192939610", "106514582", "134306372", "15353042", "178207025", "11577676" ], "author": [ "1901680692", "2306904958" ], "reference": [ "1558974614", "1592686709", "1942165802", "1968759244", "1984804105", "1987595829", "2025291128", "2066555265", "2071417479", "2112257400", "2143602129", "3101943544" ], "abstract": "it is perhaps surprising to see this norm expressed solely in terms of the volume andpontryagin classes in fact the context for this formula is the work of rozansky andwitten who showed in 10 how one could associate to each compact hyperk ahlermanifold a three manifold invariant in more abstract terms what they show is that", "title_raw": "Curvature and characteristic numbers of hyper-K\u00e4hler manifolds", "abstract_raw": "It is perhaps surprising to see this norm expressed solely in terms of the volume andPontryagin classes. In fact the context for this formula is the work of Rozansky andWitten, who showed in [10] how one could associate to each compact hyperk\u00a8ahlermanifold a three-manifold invariant. In more abstract terms, what they show is that" }, { "paper": "2053908531", "venue": "71584477", "year": "2001", "title": "book review dynamics in one complex variable introductory lectures", "label": [ "182365436", "145420912" ], "author": [ "2252173674" ], "reference": [], "abstract": "", "title_raw": "Book Review: Dynamics in one complex variable, Introductory lectures", "abstract_raw": "" }, { "paper": "2046237962", "venue": "201849197", "year": "2001", "title": "finite element discretization of the navier stokes equations with a free capillary surface", "label": [ "135628077", "72550971", "24810621", "73000952", "93779851", "134306372" ], "author": [ "267582947" ], "reference": [ "154326642", "1887902308", "1982185583", "1983714424", "1986418356", "1987196790", "1989703536", "1993164252", "2007373768", "2018943184", "2036955271", "2038626747", "2051708601", "2058981386", "2060626342", "2061793695", "2065106256", "2072523797", "2092541698", "2109346830", "2117652338", "2124214067", "2136003379", "2230501278", "2475464023", "3038769278" ], "abstract": "the instationary navier stokes equations with a free capillary boundary are considered in 2 and 3 space dimensions a stable finite element discretization is presented the key idea is the treatment of the curvature terms by a variational formulation in the context of a discontinuous in time space time element discretization stability in weak energy norms can be proved numerical examples in 2 and 3 space dimensions are given", "title_raw": "Finite element discretization of the Navier\u2013Stokes equations with a free capillary surface", "abstract_raw": "The instationary Navier\u2013Stokes equations with a free capillary boundary are considered in 2 and 3 space dimensions. A stable finite element discretization is presented. The key idea is the treatment of the curvature terms by a variational formulation. In the context of a discontinuous in time space\u2013time element discretization stability in (weak) energy norms can be proved. Numerical examples in 2 and 3 space dimensions are given." }, { "paper": "2012479405", "venue": "127742747", "year": "2001", "title": "recursive and rolling regression based tests of the seasonal unit root hypothesis", "label": [ "169857963", "159877910", "152877465", "105795698", "144341231", "87007009", "195561663", "149782125", "110405555", "106195933" ], "author": [ "2646235815", "2110544184" ], "reference": [ "1555908864", "1589176927", "1975994995", "2011343908", "2018506538", "2028532465", "2057346721", "2057351315", "2058114023", "2065747393", "2070720254", "2072625151", "2075124983", "2096276136", "2105839210", "2117922789", "2126610602", "2129366385", "2574105150", "3123026478", "3125313850", "3125553690", "3125815937", "3143433708" ], "abstract": "abstract this paper is concerned with rolling and recursive regression based implementations of tests for seasonal unit roots in a univariate time series process these tests are based on changing subsamples of the data and thus allow one to test the conventional fixed seasonal unit root hypothesis against the alternative that the process under investigation admits a stable autoregressive root over part if not all of the sample at either the zero or seasonal frequencies asymptotic critical values are provided together with representations for the limiting distributions of these test statistics a finite sample size and power study of the proposed test statistics is also reported together with a discussion on the problem of lag truncation selection in the context of rolling and recursive test regressions an application of the proposed test statistics to seasonally unadjusted u k consumers expenditure on tobacco is considered", "title_raw": "Recursive and rolling regression-based tests of the seasonal unit root hypothesis", "abstract_raw": "Abstract This paper is concerned with rolling and recursive regression-based implementations of tests for seasonal unit roots in a univariate time series process. These tests are based on changing subsamples of the data and thus allow one to test the conventional fixed seasonal unit root hypothesis against the alternative that the process under investigation admits a stable autoregressive root over part, if not all, of the sample at either the zero or seasonal frequencies. Asymptotic critical values are provided together with representations for the limiting distributions of these test statistics. A finite sample size and power study of the proposed test statistics is also reported together with a discussion on the problem of lag truncation selection in the context of rolling and recursive test regressions. An application of the proposed test statistics to seasonally unadjusted U.K. consumers\u2019 expenditure on tobacco is considered." }, { "paper": "2142811025", "venue": "168680287", "year": "2001", "title": "short time fourier transform receiver for nonstationary interference excision in direct sequence spread spectrum communications", "label": [ "102248274", "72279823", "166386157", "11413529" ], "author": [ "2161351528", "2133037695" ], "reference": [ "1607719543", "1816504957", "1964760865", "1973958655", "1999583241", "2106051735", "2115144768", "2124927523", "2142655050", "2146635429", "2148477099", "2156225460", "2160377442", "2165770301" ], "abstract": "a new adaptive excision approach for nonstationary interference excision in direct sequence spread spectrum ds ss communications is introduced the proposed excision approach is based on the attractive localization properties of the impulse responses of the multiple pole filters these impulse responses have gaussian like shapes and decrease in bandwidth with higher pole multiplicities when used as data windows they field a large class of computationally efficient short time fourier transforms stfts localization measures can be applied to determine the optimum window that maximally concentrates the interference in the time frequency t f domain interference mitigation is then achieved by applying a binary excision mask to the corresponding stft for each data bit we show that the proposed interference excision method permits both data dependent windowing and time varying filtering and leads to improved ber performance of the ds ss system the paper also derives the general optimum receiver implementing the stft based interference excision system", "title_raw": "Short-time Fourier transform receiver for nonstationary interference excision in direct sequence spread spectrum communications", "abstract_raw": "A new adaptive excision approach for nonstationary interference excision in direct sequence spread spectrum (DS/SS) communications is introduced. The proposed excision approach is based on the attractive localization properties of the impulse responses of the multiple pole filters. These impulse responses have Gaussian-like shapes and decrease in bandwidth with higher pole multiplicities. When used as data windows, they field a large class of computationally efficient short-time Fourier transforms (STFTs). Localization measures can be applied to determine the optimum window that maximally concentrates the interference in the time-frequency (t.-f.) domain. Interference mitigation is then achieved by applying a binary excision mask to the corresponding STFT for each data bit. We show that the proposed interference excision method permits both data-dependent windowing and time-varying filtering and leads to improved BER performance of the DS/SS system. The paper also derives the general optimum receiver implementing the STFT-based interference excision system." }, { "paper": "2148318534", "venue": "196647941", "year": "2001", "title": "probability of error calculation of ofdm systems with frequency offset", "label": [ "40409654", "89061704", "49319798", "65244806", "202286095", "2776108382", "56296756", "11413529" ], "author": [ "3168304746", "2199340360" ], "reference": [ "1551517259", "1980502833", "2041121275", "2107885660", "2119557756", "2132147894", "2138060152", "2149397098", "2157879490", "2171695718" ], "abstract": "orthogonal frequency division multiplexing ofdm is sensitive to the carrier frequency offset cfo which destroys orthogonality and causes intercarrier interference ici previously two methods were available for the analysis of the resultant degradation in performance firstly the statistical average of the ici could be used as a performance measure secondly the bit error rate ber caused by cfo could be approximated by assuming the ici to be gaussian however a more precise analysis of the performance i e ber or ser degradation is desirable in this letter we propose a precise numerical technique for calculating the effect of the cfo on the ber or symbol error in an ofdm system the subcarriers can be modulated with binary phase shift keying bpsk quaternary phase shift keying qpsk or 16 ary quadrature amplitude modulation 16 qam used in many ofdm applications the bpsk case is solved using a series due to beaulieu 1990 for the qpsk and 16 qam cases we use an infinite series expression for the error function in order to express the average probability of error in terms of the two dimensional characteristic function of the ici", "title_raw": "Probability of error calculation of OFDM systems with frequency offset", "abstract_raw": "Orthogonal frequency-division multiplexing (OFDM) is sensitive to the carrier frequency offset (CFO), which destroys orthogonality and causes intercarrier interference (ICI), Previously, two methods were available for the analysis of the resultant degradation in performance. Firstly, the statistical average of the ICI could be used as a performance measure. Secondly, the bit error rate (BER) caused by CFO could be approximated by assuming the ICI to be Gaussian. However, a more precise analysis of the performance (i.e., BER or SER) degradation is desirable. In this letter, we propose a precise numerical technique for calculating the effect of the CFO on the BER or symbol error in an OFDM system. The subcarriers can be modulated with binary phase shift keying (BPSK), quaternary phase shift keying (QPSK), or 16-ary quadrature amplitude modulation (16-QAM), used in many OFDM applications. The BPSK case is solved using a series due to Beaulieu (1990). For the QPSK and 16-QAM cases, we use an infinite series expression for the error function in order to express the average probability of error in terms of the two-dimensional characteristic function of the ICI." }, { "paper": "2128145688", "venue": "127742747", "year": "2001", "title": "optimal prediction in loglinear models", "label": [ "70519679", "191393472", "165646398", "129848803", "105795698", "139945424", "55974624", "28826006" ], "author": [ "2617041260" ], "reference": [ "1574149470", "1969597697", "1990460714", "1994515379", "2003051132", "2007535721", "2013948815", "2017334855", "2029004383", "2036320532", "2041826632", "2138642804", "2168079093", "2323136350", "2334869595", "2799720164", "3121860087" ], "abstract": "this paper introduces a laplace inversion technique for deriving unbiased predictors in exponential families this general technique is applied to derive the exact optimal unbiased predictor in loglinear models with gaussian disturbances under quadratic loss an exact unbiased estimator for its variance is also derived the result generalizes earlier work and unifies expressions in terms of a simple hypergeometric function which has a number of advantages nonlinear models rarely admit exact solutions and we therefore compare the exact predictor with other predictors commonly used in nonlinear models the naive predictor which is biased and inconsistent can be best in terms of mean squared error even for sample sizes of up to 40", "title_raw": "Optimal prediction in loglinear models", "abstract_raw": "This paper introduces a Laplace inversion technique for deriving unbiased predictors in exponential families. This general technique is applied to derive the exact optimal unbiased predictor in loglinear models with Gaussian disturbances under quadratic loss. An exact unbiased estimator for its variance is also derived. The result generalizes earlier work and unifies expressions in terms of a simple hypergeometric function which has a number of advantages. Nonlinear models rarely admit exact solutions and we therefore compare the exact predictor with other predictors commonly used in nonlinear models. The naive predictor which is biased and inconsistent, can be best in terms of mean squared error, even for sample sizes of up to 40." }, { "paper": "2029926364", "venue": "35412551", "year": "2001", "title": "spectral statistics of instantaneous normal modes in liquids and random matrices", "label": [ "33257320", "158693339", "203616005", "64812099" ], "author": [ "2135502654", "2192377464", "2099450514" ], "reference": [], "abstract": "we study the statistical properties of eigenvalues of the hessian matrix mathcal h matrix of second derivatives of the potential energy for a classical atomic liquid and compare these properties with predictions for random matrix models the eigenvalue spectra the instantaneous normal mode or inm spectra are evaluated numerically for configurations generated by molecular dynamics simulations we find that distribution of spacings between nearest neighbor eigenvalues s obeys quite well the wigner prediction s mathrm exp ensuremath s 2 with the agreement being better for higher densities at fixed temperature the deviations display a correlation with the number of localized eigenstates normal modes in the liquid there are fewer localized states at higher densities that we quantify by calculating the participation ratios of the normal modes we confirm this observation by calculating the spacing distribution for parts of the inm spectra with high participation ratios obtaining greater conformity with the wigner form we also calculate the spectral rigidity and find a substantial dependence on the density of the liquid", "title_raw": "Spectral statistics of instantaneous normal modes in liquids and random matrices.", "abstract_raw": "We study the statistical properties of eigenvalues of the Hessian matrix $\\mathcal{H}$ (matrix of second derivatives of the potential energy) for a classical atomic liquid, and compare these properties with predictions for random matrix models. The eigenvalue spectra (the instantaneous normal mode or INM spectra) are evaluated numerically for configurations generated by molecular dynamics simulations. We find that distribution of spacings between nearest-neighbor eigenvalues, s, obeys quite well the Wigner prediction $s\\mathrm{exp}(\\ensuremath{-}{s}^{2}),$ with the agreement being better for higher densities at fixed temperature. The deviations display a correlation with the number of localized eigenstates (normal modes) in the liquid; there are fewer localized states at higher densities that we quantify by calculating the participation ratios of the normal modes. We confirm this observation by calculating the spacing distribution for parts of the INM spectra with high participation ratios, obtaining greater conformity with the Wigner form. We also calculate the spectral rigidity and find a substantial dependence on the density of the liquid." }, { "paper": "1964300020", "venue": "98347115", "year": "2001", "title": "bounded cohomology and non uniform perfection of mapping class groups", "label": [ "126867241", "72738302", "118615104", "68365058", "45442697", "202444582", "136660716", "74196217", "155751095", "78606066" ], "author": [ "2136576019", "243828452" ], "reference": [ "423577927", "1534880334", "1615379270", "1846867463", "1907613552", "1908672742", "1980564597", "1986441888", "2000953874", "2044838330", "2963730587" ], "abstract": "using the existence of certain symplectic submanifolds in symplectic 4 manifolds we prove an estimate from above for the number of singular fibers with separating vanishing cycles in minimal lefschetz fibrations over surfaces of positive genus this estimate is then used to deduce that mapping class groups are not uniformly perfect and that the map from their second bounded cohomology to ordinary cohomology is not injective", "title_raw": "Bounded cohomology and non-uniform perfection of mapping class groups", "abstract_raw": "Using the existence of certain symplectic submanifolds in symplectic 4-manifolds, we prove an estimate from above for the number of singular fibers with separating vanishing cycles in minimal Lefschetz fibrations over surfaces of positive genus. This estimate is then used to deduce that mapping class groups are not uniformly perfect, and that the map from their second bounded cohomology to ordinary cohomology is not injective." }, { "paper": "2033689810", "venue": "134818455", "year": "2001", "title": "an additional gibbs state for the cubic schrodinger equation on the circle", "label": [ "134306372", "83774755", "63036615", "73000952", "29001434", "200741047" ], "author": [ "2894042744" ], "reference": [ "1533261985", "1990089063", "1999078596", "2024462307", "2047571724", "2050451986", "2077530835", "2615291365" ], "abstract": "an invariant gibbs state for the nonlinear schrodinger equation on the circle was constructed by bourgain 2 3 and mckean 6 out of the basic hamiltonian using a trigonometric cutoff the cubic nonlinear schrodinger equation is a completely integrable system having an infinite number of additional integrals of motion in this paper we construct the second invariant gibbs state from one of these additional integrals for the cubic nls on the circle this additional gibbs state is singular with respect to the gibbs state previously constructed from the basic hamiltonian our approach employs the ablowitz ladik system a completely integrable discretization of the cubic schrodinger equation 2001 john wiley sons inc", "title_raw": "An additional Gibbs' state for the cubic Schr\u00f6dinger equation on the circle", "abstract_raw": "An invariant Gibbs' state for the nonlinear Schrodinger equation on the circle was constructed by Bourgain [2,3] and McKean [6] out of the basic Hamiltonian using a trigonometric cutoff. The cubic nonlinear Schrodinger equation is a completely integrable system having an infinite number of additional integrals of motion. In this paper we construct the second invariant Gibbs' state from one of these additional integrals for the cubic NLS on the circle. This additional Gibbs' state is singular with respect to the Gibbs' state previously constructed from the basic Hamiltonian. Our approach employs the Ablowitz-Ladik system, a completely integrable discretization of the cubic Schrodinger equation. \u00a9 2001 John Wiley & Sons, Inc." }, { "paper": "2030577817", "venue": "204847658", "year": "2001", "title": "analytical solution to a sharp interface problem in a vortex generated flow", "label": [ "98214594", "182310444", "47422493", "2776950841", "205979905" ], "author": [ "2430155965" ], "reference": [ "4420592", "60897754", "63466889", "1499976760", "1564153106", "1967939905", "2004716724", "2005830642", "2013441473", "2023269164", "2026827545", "2028046217", "2039316753", "2073047154", "2075167396", "2086999113", "2088361734", "2136989643", "2239362388", "2499266778", "2623167593" ], "abstract": "conformal mappings and integral representations of the dirichlet boundary value problem for analytic functions are employed to solve explicitly the problem of steady two dimensional darcian seepage from a reservoir with fresh water to a sea in a confined aquifer of a finite thickness a sharp interface between moving fresh and stagnant saline water forming a wedge is determined depending on one dimensionless parameter which includes the difference in water elevations between the reservoir and the sea the contrast in water densities and the aquifer thickness if the acting head reaches some critical minimal value saline water will always stay at some depth that is the wedge will have an infinite width in this case the interface coincides with the saffman taylor shape of a finger in a hele shaw apparatus", "title_raw": "Analytical solution to a sharp interface problem in a vortex\u2010generated flow", "abstract_raw": "Conformal mappings and integral representations of the Dirichlet boundary value problem for analytic functions are employed to solve explicitly the problem of steady, two-dimensional, Darcian seepage from a reservoir with fresh water to a sea in a confined aquifer of a finite thickness. A sharp interface between moving fresh and stagnant saline water forming a wedge is determined depending on one dimensionless parameter, which includes the difference in water elevations between the reservoir and the sea, the contrast in water densities, and the aquifer thickness. If the acting head reaches some critical (minimal) value, saline water will always stay at some depth; that is, the wedge will have an infinite width. In this case the interface coincides with the Saffman-Taylor shape of a finger in a Hele-Shaw apparatus." }, { "paper": "2142811628", "venue": "168680287", "year": "2001", "title": "multidimensional probability density function approximations for detection classification and model order selection", "label": [ "28826006", "105795698", "158457486", "44082924", "197055811", "167928553", "178197554", "122123141", "149441793", "126674687" ], "author": [ "2132136888", "2720018836", "2582375380" ], "reference": [ "139766349", "216304879", "241357422", "1597732836", "1603339577", "2025120896", "2033976969", "2036402383", "2062507598", "2073014306", "2136540032", "2165541001", "2166054752", "2166698530", "2169118664", "2549568718" ], "abstract": "this paper addresses the problem of calculating the multidimensional probability density functions pdfs of statistics derived from known many to one transformations of independent random variables rvs with known distributions the statistics covered in the paper include reflection coefficients autocorrelation estimates cepstral coefficients and general linear functions of independent rvs through pdf transformation these results can be used for general pdf approximation detection classification and model order selection a model order selection example that shows significantly better performance than the akaike and mdl method is included", "title_raw": "Multidimensional probability density function approximations for detection, classification, and model order selection", "abstract_raw": "This paper addresses the problem of calculating the multidimensional probability density functions (PDFs) of statistics derived from known many-to-one transformations of independent random variables (RVs) with known distributions. The statistics covered in the paper include reflection coefficients, autocorrelation estimates, cepstral coefficients, and general linear functions of independent RVs. Through PDF transformation, these results Can be used for general PDF approximation, detection, classification, and model order selection. A model order selection example that shows significantly better performance than the Akaike and MDL method is included." }, { "paper": "2058515557", "venue": "165651092", "year": "2001", "title": "low reynolds number flow around an oscillating circular cylinder using a cell viscousboundary element method", "label": [ "24810621", "144468803", "52890695", "192885726", "135628077", "63632240" ], "author": [ "2076635194", "2133967759", "2167732012" ], "reference": [ "353437183", "608973185", "1496226429", "1550269551", "1553261287", "1971038963", "1979048468", "1979573042", "1982226406", "1985905858", "1986900718", "1996432437", "2012986840", "2015337189", "2025172409", "2027435521", "2029683314", "2033802576", "2034959849", "2041993212", "2087365002", "2100769677", "2109911863", "2110894491", "2111479630", "2122065664", "2135428981", "2138570932", "2143786251", "2166408367", "2169010671", "2528256590", "2889692052", "2970313046" ], "abstract": "flow fields from transversely oscillating circular cylinders in water at rest are studied by numerical solutions of the two dimensional unsteady incompressible navier stokes equations adopting a primitive variable formulation these findings are successfully compared with experimental observations the cell viscous boundary element scheme developed is first validated to examine convergence of solution and the influence of discretization within the numerical scheme of study before the comparisons are undertaken a hybrid approach utilising boundary element and finite element methods is adopted in the cell viscous boundary element method that is cell equations are generated using the principles of a boundary element method with global equations derived following the procedures of finite element methods the influence of key parameters i e reynolds number re keulegan carpenter number kc and stokes number beta on overall flow characteristics and vortex shedding mechanisms are investigated through comparisons with experimental findings and theoretical predictions the latter extends the study into assessment of the values of the drag coefficient added mass or inertia coefficient with key parameters and the variation of lift and in line force results with time derived from the morison s equation the cell viscous boundary element method as described herein is shown to produce solutions which agree very favourably with experimental observations measurements and other theoretical findings", "title_raw": "Low\u2010Reynolds\u2010number flow around an oscillating circular cylinder using a cell viscousboundary element method", "abstract_raw": "Flow fields from transversely oscillating circular cylinders in water at rest are studied by numerical solutions of the two-dimensional unsteady incompressible Navier-Stokes equations adopting a primitive-variable formulation. These findings are successfully compared with experimental observations. The cell viscous boundary element scheme developed is first validated to examine convergence of solution and the influence of discretization within the numerical scheme of study before the comparisons are undertaken. A hybrid approach utilising boundary element and finite element methods is adopted in the cell viscous boundary element method. That is, cell equations are generated using the principles of a boundary element method with global equations derived following the procedures of finite element methods. The influence of key parameters, i.e. Reynolds number Re, Keulegan-Carpenter number KC and Stokes' number beta, on overall flow characteristics and vortex shedding mechanisms are investigated through comparisons with experimental findings and theoretical predictions. The latter extends the study into assessment of the values of the drag coefficient, added mass or inertia coefficient with key parameters and the variation of lift and in-line force results with time derived from the Morison's equation. The cell viscous boundary element method as described herein is shown to produce solutions which agree very favourably with experimental observations, measurements and other theoretical findings." }, { "paper": "2073873184", "venue": "40212770", "year": "2001", "title": "continuum limit for some growth models ii", "label": [ "2778326497", "21031990", "63548660", "122637931", "207405024", "114614502", "118299288", "33676613" ], "author": [ "289855428" ], "reference": [ "596251256", "1521233381", "1990244934", "2013350981", "2036618455", "2053976596", "2063885601", "2126794261", "3021722416" ], "abstract": "we continue our investigations on a class of growth models introduced in a previous paper given a nonnegative function v z d z with v 0 0 we define the space of configurations to consist of functions h z d z such that h i h j v i j for all i j z d we then take two sequences of independent poisson clocks p i t i e z d of rates we start with a possibly random configuration h the function h increases respectively decreases by one unit at site i when the clock p i respectively p i rings and the resulting configuration is still in otherwise the change in h is suppressed in this way we have a process h i t that after a rescaling u e x t eh x e t e is expected to converge to a function u x t that solves a hamilton jacobi equation of the form u t h u x 0 we established this when a or 0 in the previous paper employing a strong monotonicity property of the process h i t such property is no longer available when both a are nonzero in this paper we initiate a new approach to treat the problem when the dimension is 1 and the set r can be described by local constraints on the configuration h in higher dimensions we can only show that any limit point of the processes u e is a process u that satisfies a hamilton jacobi equation for a suitable possibly random hamiltonian h", "title_raw": "Continuum Limit for Some Growth Models II", "abstract_raw": "We continue our investigations on a class of growth models introduced in a previous paper. Given a nonnegative function v: Z d \u2192 Z with v(0) = 0, we define the space of configurations \u0393 to consist of functions h: Z d \u2192 Z such that h(i)-h(j) \u2264 v(i-j) for all i, j \u2208 Z d . We then take two sequences of independent Poisson clocks (p \u00b1 (i, t): i e Z d ) of rates \u03bb \u00b1 , We start with a possibly random configuration h \u2208 \u0393. The function h increases (respectively, decreases) by one unit at site i, when the clock p + (i, . ) [respectively, p - (i,.)] rings and the resulting configuration is still in \u0393. Otherwise the change in h is suppressed. In this way we have a process h(i, t) that after a rescaling u e (x, t) = eh([x-e], t-e) is expected to converge to a function u(x, t) that solves a Hamilton-Jacobi equation of the form u t + H(u x ) = 0. We established this when A- or \u03bb + = 0 in the previous paper, employing a strong monotonicity property of the process h(i, t). Such property is no longer available when both \u03bb + , A- are nonzero. In this paper we initiate a new approach to treat the problem when the dimension is 1 and the set r can be described by local constraints on the configuration h. In higher dimensions, we can only show that any limit point of the processes u e is a process u that satisfies a Hamilton-Jacobi equation for a suitable (possibly random) Hamiltonian H." }, { "paper": "2124470163", "venue": "145009937", "year": "2001", "title": "testing generalized linear and semiparametric models against smooth alternatives", "label": [ "41587187", "169857963", "19539793", "149782125", "132480984", "78297888", "89106044", "194648359", "65778772" ], "author": [ "299623633", "243375000" ], "reference": [ "27605680", "79625473", "135795571", "1559001690", "1597926580", "1965790068", "1968934696", "1995127855", "2006225775", "2007542479", "2008546969", "2011931375", "2023221924", "2025563683", "2027248710", "2034712399", "2037767836", "2043283134", "2046977371", "2053914499", "2064385888", "2072222782", "2074931146", "2083610611", "2109858684", "2114228672", "2128562184", "2134269439", "2138777736", "2326082135", "2468303976", "2468543752", "2491949274" ], "abstract": "we propose goodness of fit tests for testing generalized linear models and semiparametric regression models against smooth alternatives the focus is on models having both continuous and factorial covariates as smooth extension of a parametric or semiparametric model we use generalized varying coefficient models as proposed by hastie tibshirani jrss b 1993 a likelihood ratio statistic is used for testing and asymptotic normality of the test statistic is proven due to a slow asymptotic convergence rate a bootstrap approach is pursued asymptotic expansions allow to write the estimates as linear smoothers which in turn guarantees simple and fast bootstrapping the test is shown to have sqrt n power but in contrast to parametric tests it is powerful against smooth alternatives in general", "title_raw": "Testing generalized linear and semiparametric models against smooth alternatives", "abstract_raw": "We propose goodness of fit tests for testing generalized linear models and semiparametric regression models against smooth alternatives. The focus is on models having both, continuous and factorial covariates. As smooth extension of a parametric or semiparametric model we use generalized varying coefficient models as proposed by Hastie&Tibshirani (JRSS B, 1993). A likelihood ratio statistic is used for testing, and asymptotic normality of the test statistic is proven. Due to a slow asymptotic convergence rate a bootstrap approach is pursued. Asymptotic expansions allow to write the estimates as linear smoothers which in turn guarantees simple and fast bootstrapping. The test is shown to have sqrt(n) power, but in contrast to parametric tests it is powerful against smooth alternatives in general." }, { "paper": "2104462318", "venue": "168680287", "year": "2001", "title": "low complexity multiuser channel estimation with aperiodic spreading codes", "label": [ "161218011", "104247578", "11413529", "122770356", "167928553", "179799912" ], "author": [ "2192347953" ], "reference": [ "1913140459", "2022958807", "2038085771", "2087290543", "2099481490", "2110562101", "2118878286", "2122042834", "2123948941", "2128978199", "2133643362", "2133884101", "2139366257", "2144228966", "2151998941", "2152375101", "2152614779", "2154460034", "2158620689", "2166239636", "2912369344" ], "abstract": "signal processing techniques for cdma systems employing aperiodic spreading sequences have gained significant interest due to the time varying nature of users unknown signatures in a multipath communication environment direct design of blind multiuser detectors is intractable we focus on estimating the unknown multipath parameters for each active user in the system the problem is solved in the correlation matching context based on correlations of both the directly received data and the outputs of a bank of matched filters three typical scenarios are discussed such as quasisynchronous uplink cdma system with awgn with unknown interference and downlink cdma system with awgn leading to different solutions we model the aperiodic spreading codes as random variables for any priori known distribution of the spreading codes their statistics up to the fourth order can be evaluated resulting in extremely low computational complexity of the methods the identifiability of the channel parameters only depends on the nonsingularity of a deterministic matrix determined by known system parameters in the case of unknown code statistics the methods can be modified to be still applicable by estimating those code statistics from given spreading codes however in such a case more computations are needed comparisons with other existing methods show that the proposed computationally efficient approaches can provide satisfactory results while requiring significantly less computations", "title_raw": "Low-complexity multiuser channel estimation with aperiodic spreading codes", "abstract_raw": "Signal processing techniques for CDMA systems employing aperiodic spreading sequences have gained significant interest. Due to the time-varying nature of users' unknown signatures in a multipath communication environment, direct design of blind multiuser detectors is intractable. We focus on estimating the unknown multipath parameters for each active user in the system. The problem is solved in the correlation matching context based on correlations of both the directly received data and the outputs of a bank of matched filters. Three typical scenarios are discussed such as quasisynchronous uplink CDMA system with AWGN, with unknown interference, and downlink CDMA system with AWGN, leading to different solutions. We model the aperiodic spreading codes as random variables. For any priori-known distribution of the spreading codes, their statistics up to the fourth order can be evaluated, resulting in extremely low computational complexity of the methods. The identifiability of the channel parameters only depends on the nonsingularity of a deterministic matrix determined by known system parameters. In the case of unknown code statistics, the methods can be modified to be still applicable by estimating those code statistics from given spreading codes. However, in such a case, more computations are needed. Comparisons with other existing methods show that the proposed computationally efficient approaches can provide satisfactory results while requiring significantly less computations." }, { "paper": "1965991359", "venue": "106174089", "year": "2001", "title": "analysis of seismic wave dynamics by means of integral representations and the method of discontinuities", "label": [ "19118579", "2524010", "134306372", "103824480", "15627037" ], "author": [ "2045926739", "2684729863" ], "reference": [ "586107128", "1997722771", "1997777356", "2087300512", "2132148596", "2146034485" ], "abstract": "we analyze the dynamics amplitudes and phase distortions of seismic waves as they propagate along the ray our analysis is performed via a ray series approximation in the time domain that is we concentrate on characterizing the sharp changes discontinuities of the signal that are localized near the wavefront after convolution of the terms of such a series with a proper temporally short high frequency wavelet one obtains a synthetic seismic signal at a given point of interest we present an outline of the proposed technique that yields integrals describing the wavefield these integrals are similar to oscillatory integrals in the frequency domain this description is uniformly valid near caustics allowing the calculation of higher order terms of the ray series approximation practical use of the technique is illustrated by several examples which show two possible uses of the technique general understanding of what is happening during wave propagation and practical calculations first we show how the structure of the ray decomposition changes near the simple caustic and then we calculate a synthetic signal near the cusp caustic the advantage of the technique is that the problem of seismic wave calculation is technically reduced to a problem of double integration of a dirac function thus it is computationally effective", "title_raw": "Analysis of seismic wave dynamics by means of integral representations and the method of discontinuities", "abstract_raw": "We analyze the dynamics (amplitudes and phase distortions) of seismic waves as they propagate along the ray. Our analysis is performed via a ray series approximation in the time domain. That is, we concentrate on characterizing the sharp changes (discontinuities) of the signal that are localized near the wavefront. After convolution of the terms of such a series with a proper temporally short (high-frequency) wavelet, one obtains a synthetic seismic signal at a given point of interest. We present an outline of the proposed technique that yields integrals describing the wavefield. These integrals are similar to oscillatory integrals in the frequency domain. This description is uniformly valid near caustics, allowing the calculation of higher order terms of the ray series approximation. Practical use of the technique is illustrated by several examples which show two possible uses of the technique: general understanding of what is happening during wave propagation and practical calculations. First, we show how the structure of the ray decomposition changes near the simple caustic, and then we calculate a synthetic signal near the cusp caustic. The advantage of the technique is that the problem of seismic wave calculation is technically reduced to a problem of double integration of a Dirac \u03b4-function; thus, it is computationally effective." }, { "paper": "2049244686", "venue": "90727058", "year": "2001", "title": "espaces metriques rationnellement presentes et complexite le cas se d espace des fonctions reelles uniformement continues sur un intervalle compact", "label": [ "311688", "194059051", "130231550", "93361540", "2778894665", "118615104", "198043062", "114614502", "59372978", "129301229" ], "author": [ "2696614801", "2507844186", "2603850808" ], "reference": [ "126568045", "1532154335", "1545819195", "1581824324", "1590304156", "1599278240", "1975269884", "1984495709", "1995082015", "2006786362", "2009849678", "2020164082", "2059204568", "2067914884", "2085938002", "2088141885", "2144181355", "2166717942", "2182593518", "2211030347", "2572527300", "3022059637" ], "abstract": "we define the notion of rational presentation of a complete metric space in order to study metric spaces from the algorithmic complexity point of view in this setting we study some representations of the space c 0 1 of uniformly continuous real functions over 0 1 with the usual norm f sup f x 0 x 1 this allows us to have a comparison of global kind between complexity notions attached to these presentations in particular we get a generalization of hoover s results concerning the weierstrass approximation theorem in polynomial time we get also a generalization of previous results on analytic functions which are computable in polynomial time", "title_raw": "Espaces m\u00e9triques rationnellement pr\u00e9sent\u00e9s et complexit\u00e9, le cas se d'espace des fonctions r\u00e9elles uniform\u00e9ment continues sur un intervalle compact", "abstract_raw": "We define the notion of rational presentation of a complete metric space, in order to study metric spaces from the algorithmic complexity point of view. In this setting, we study some representations of the space C[0,1] of uniformly continuous real functions over [0,1] with the usual norm: ||f||\u221e=Sup{|f(x)|;0\u2a7dx\u2a7d1}. This allows us to have a comparison of global kind between complexity notions attached to these presentations. In particular, we get a generalization of Hoover's results concerning the Weierstrass approximation theorem in polynomial time. We get also a generalization of previous results on analytic functions which are computable in polynomial time." }, { "paper": "2038983377", "venue": "24688465", "year": "2001", "title": "robust control problems in fluid mechanics", "label": [ "2777021972", "91581856", "31531917", "33577790", "142805521", "28826006" ], "author": [ "2060700872" ], "reference": [ "1967468633", "1967630800", "1971697991", "1978344088", "1989946277", "2002363823", "2018027840", "2019021845", "2022977680", "2068044221", "2068198531", "2088836447", "2093276353", "2504532827" ], "abstract": "abstract in this paper we study a class of robust control problems in fluid mechanics recently proposed by bewley et al physica d 138 3 4 2000 360 using a method of shutyaev russ j numer anal math modell 14 2 1999 137 we provide another proof of the existence and the uniqueness of solutions to the robust control problems under weaker assumptions as compared to those of bewley et al physica d 138 3 4 2000 360 from the numerical point of view the method used in this paper is particularly important since it provides a constructive way to approximate the solutions to these nonlinear control problems", "title_raw": "Robust control problems in fluid mechanics", "abstract_raw": "Abstract In this paper, we study a class of robust control problems in fluid mechanics recently proposed by Bewley et al. [Physica D 138 (3\u20134) (2000) 360]. Using a method of Shutyaev [Russ. J. Numer. Anal. Math. Modell. 14 (2) (1999) 137], we provide another proof of the existence and the uniqueness of solutions to the robust control problems under weaker assumptions as compared to those of Bewley et al. [Physica D 138 (3\u20134) (2000) 360]. From the numerical point of view, the method used in this paper is particularly important since it provides a constructive way to approximate the solutions to these nonlinear control problems." }, { "paper": "2159371584", "venue": "134177497", "year": "2001", "title": "designing fuzzy inference systems from data an interpretability oriented review", "label": [ "5263885", "195975749" ], "author": [ "2973527851" ], "reference": [ "113230244", "616758194", "1542813816", "1570834090", "1639032689", "1853840354", "1972071974", "1973865630", "1979700117", "1982401567", "1983425265", "1987801991", "1990368529", "1992176519", "1996747841", "2012523562", "2015661117", "2019207321", "2022945351", "2033897916", "2034680281", "2039351583", "2050288270", "2055531708", "2066159588", "2078094465", "2079325629", "2079543542", "2084087917", "2094702157", "2095973690", "2096507750", "2101036899", "2102380305", "2106504576", "2107962210", "2108457651", "2109313762", "2117087435", "2118280402", "2120688485", "2122997647", "2128539603", "2129387283", "2133195034", "2140384587", "2140742659", "2141649146", "2145479133", "2149706766", "2155399784", "2156576818", "2158054592", "2159111290", "2159265133", "2164761620", "2171277043", "2310605179", "2470896062", "2797148637", "2912565176", "3146863510", "3149706051", "3176049587" ], "abstract": "fuzzy inference systems fis are widely used for process simulation or control they can be designed either from expert knowledge or from data for complex systems fis based on expert knowledge only may suffer from a loss of accuracy this is the main incentive for using fuzzy rules inferred from data designing a fis from data can be decomposed into two main phases automatic rule generation and system optimization rule generation leads to a basic system with a given space partitioning and the corresponding set of rules system optimization can be done at various levels variable selection can be an overall selection or it can be managed rule by rule rule base optimization aims to select the most useful rules and to optimize rule conclusions space partitioning can be improved by adding or removing fuzzy sets and by tuning membership function parameters structure optimization is of a major importance selecting variables reducing the rule base and optimizing the number of fuzzy sets over the years many methods have become available for designing fis from data their efficiency is usually characterized by a numerical performance index however for human computer cooperation another criterion is needed the rule interpretability an implicit assumption states that fuzzy rules are by nature easy to be interpreted this could be wrong when dealing with complex multivariable systems or when the generated partitioning is meaningless for experts the paper analyzes the main methods for automatic rule generation and structure optimization they are grouped into several families and compared according to the rule interpretability criterion for this purpose three conditions for a set of rules to be interpretable are defined", "title_raw": "Designing fuzzy inference systems from data: An interpretability-oriented review", "abstract_raw": "Fuzzy inference systems (FIS) are widely used for process simulation or control. They can be designed either from expert knowledge or from data. For complex systems, FIS based on expert knowledge only may suffer from a loss of accuracy. This is the main incentive for using fuzzy rules inferred from data. Designing a FIS from data can be decomposed into two main phases: automatic rule generation and system optimization. Rule generation leads to a basic system with a given space partitioning and the corresponding set of rules. System optimization can be done at various levels. Variable selection can be an overall selection or it can be managed rule by rule. Rule base optimization aims to select the most useful rules and to optimize rule conclusions. Space partitioning can be improved by adding or removing fuzzy sets and by tuning membership function parameters. Structure optimization is of a major importance: selecting variables, reducing the rule base and optimizing the number of fuzzy sets. Over the years, many methods have become available for designing FIS from data. Their efficiency is usually characterized by a numerical performance index. However, for human-computer cooperation another criterion is needed: the rule interpretability. An implicit assumption states that fuzzy rules are by nature easy to be interpreted. This could be wrong when dealing with complex multivariable systems or when the generated partitioning is meaningless for experts. The paper analyzes the main methods for automatic rule generation and structure optimization. They are grouped into several families and compared according to the rule interpretability criterion. For this purpose, three conditions for a set of rules to be interpretable are defined." }, { "paper": "2139422470", "venue": "2898222998", "year": "2001", "title": "flattening and subanalytic sets in rigid analytic geometry", "label": [ "200802036", "203701370", "57115121", "2779638872", "32278780", "118615104", "2779793662", "26020477", "46175816" ], "author": [ "2314578176", "1992718335" ], "reference": [ "655466266", "1483096589", "1484538530", "1495410784", "1548944036", "1549562143", "1968936725", "1998913330", "2062469714", "2075869924", "2080803951", "2093300387", "2097003931", "2328429071", "2504050845", "2604026927" ], "abstract": "let k be an algebraically closed field endowed with a complete non archimedean norm with valuation ring r let f colon y to x be a map of k affinoid varieties in this paper we study the analytic structure of the image f y subset x such an image is a typical example of a subanalytic set we show that the subanalytic sets are precisely the mathbf d semianalytic sets where mathbf d is the truncated division function first introduced by denef and van den dries this result is most conveniently stated as a quantifier elimination result for the valuation ring r in an analytic expansion of the language of valued rings to prove this we establish a flattening theorem for affinoid varieties in the style of hironaka which allows a reduction to the study of subanalytic sets arising from flat maps that is we show that a map of affinoid varieties can be rendered flat by using only finitely many local blowing ups the case of a flat map is then dealt with by a small extension of a result of raynaud and gruson showing that the image of a flat map of affinoid varieties is open in the grothendieck topology using embedded resolution of singularities we derive in the zero characteristic case a uniformization theorem for subanalytic sets a subanalytic set can be rendered semianalytic using only finitely many local blowing ups with smooth centres as a corollary we obtain the fact that any subanalytic set in the plane r2 is semianalytic 2000 mathematical subject classification 32p05 32b20 13c11 12j25 03c10", "title_raw": "Flattening and Subanalytic Sets in Rigid Analytic Geometry", "abstract_raw": "Let K be an algebraically closed field endowed with a complete non-archimedean norm with valuation ring R. Let $f\\colon Y \\to X$ be a map of K-affinoid varieties. In this paper we study the analytic structure of the image $f(Y) \\subset X$; such an image is a typical example of a subanalytic set. We show that the subanalytic sets are precisely the $\\mathbf D$-semianalytic sets, where $\\mathbf D$ is the truncated division function first introduced by Denef and van den Dries. This result is most conveniently stated as a Quantifier Elimination result for the valuation ring R in an analytic expansion of the language of valued rings. To prove this we establish a Flattening Theorem for affinoid varieties in the style of Hironaka, which allows a reduction to the study of subanalytic sets arising from flat maps, that is, we show that a map of affinoid varieties can be rendered flat by using only finitely many local blowing ups. The case of a flat map is then dealt with by a small extension of a result of Raynaud and Gruson showing that the image of a flat map of affinoid varieties is open in the Grothendieck topology. Using Embedded Resolution of Singularities, we derive in the zero characteristic case, a Uniformization Theorem for subanalytic sets: a subanalytic set can be rendered semianalytic using only finitely many local blowing ups with smooth centres. As a corollary we obtain the fact that any subanalytic set in the plane R2 is semianalytic. 2000 Mathematical Subject Classification: 32P05, 32B20, 13C11, 12J25, 03C10." }, { "paper": "2082230461", "venue": "114406506", "year": "2001", "title": "finite regularity and koszul algebras", "label": [ "9485509", "2781025942", "183778304", "118615104", "202444582", "118211362", "104736235", "133558598", "57033185", "14394260" ], "author": [ "678993201", "682452767" ], "reference": [ "71296093", "344053457", "758952583", "1488091669", "1600090509", "2016452095", "2059460865", "2122604403" ], "abstract": "we determine the positively graded commutative algebras over which the residue field modulo the homogeneous maximal ideal has finite castelnuovo mumford regularity they are the polynomial rings in finitely many indeterminates over koszul algebras this proves a conjecture of avramov and eisenbud we also show that if the residue field of a finitely generated graded algebras has finite regularity then so do all finitely generated graded modules", "title_raw": "Finite regularity and Koszul algebras", "abstract_raw": "We determine the positively graded commutative algebras over which the residue field modulo the homogeneous maximal ideal has finite Castelnuovo-Mumford regularity: they are the polynomial rings in finitely many indeterminates over Koszul algebras; this proves a conjecture of Avramov and Eisenbud. We also show that if the residue field of a finitely generated graded algebras has finite regularity, then so do all finitely generated graded modules." }, { "paper": "2963868509", "venue": "114406506", "year": "2001", "title": "the dimension of the leafwise reduced cohomology", "label": [ "103368685", "202444582", "33676613", "78606066" ], "author": [ "2604367041", "2696784677" ], "reference": [ "577775247", "1527619600", "1546790737", "1551305199", "1967830147", "1988328372", "1989427081", "2034266983", "2037424685", "2071034769", "2170603931", "2240172797", "2323672355", "2326202425", "2529097147", "2575741133", "3023676365" ], "abstract": "geometric conditions are given so that the leafwise reduced cohomology is of infinite dimension especially for foliations with dense leaves on closed manifolds the main new definition involved is the intersection number of subfoliations with appropriate coefficients the leafwise reduced cohomology is also described for homogeneous foliations with dense leaves on closed nilmanifolds", "title_raw": "The dimension of the leafwise reduced cohomology", "abstract_raw": "Geometric conditions are given so that the leafwise reduced cohomology is of infinite dimension, especially for foliations with dense leaves on closed manifolds. The main new definition involved is the intersection number of subfoliations with \"appropriate coefficients.\" The leafwise reduced cohomology is also described for homogeneous foliations with dense leaves on closed nilmanifolds." }, { "paper": "2155216215", "venue": "414566", "year": "2001", "title": "locating geometric primitives by pruning the parameter space", "label": [ "2780180284", "73586568", "167928553", "128669082", "117251300", "115961682", "118299288" ], "author": [ "2153264145" ], "reference": [ "10195015", "1819990927", "1978436383", "1995376165", "2004492169", "2009086487", "2019677198", "2062294515", "2083422748", "2099088762", "2115880351", "2118269922", "2118756337", "2123564600", "2131618054", "2168753754" ], "abstract": "abstract this paper examines the detection of geometric primitives using 2d edge pixels or 3d range points the geometric primitives are described by parametric equations in the image space an explicit error model allows the primitives to be extracted robustly while a hierarchical search of the parameter space with conservative pruning allows the primitives to be located efficiently the result is an efficient search strategy that is robust to distractors missing data and noise and that does not require an initial estimate of the positions of the geometric primitives we apply these techniques to circle detection for locating craters on planetary bodies and analyzing engineering drawings and to cylinder detection for finding unexploded ordnance in test ranges", "title_raw": "Locating geometric primitives by pruning the parameter space", "abstract_raw": "Abstract This paper examines the detection of geometric primitives using 2D edge pixels or 3D range points. The geometric primitives are described by parametric equations in the image space. An explicit error model allows the primitives to be extracted robustly, while a hierarchical search of the parameter space with conservative pruning allows the primitives to be located efficiently. The result is an efficient search strategy that is robust to distractors, missing data and noise, and that does not require an initial estimate of the positions of the geometric primitives. We apply these techniques to circle detection, for locating craters on planetary bodies and analyzing engineering drawings, and to cylinder detection, for finding unexploded ordnance in test ranges." }, { "paper": "1482007403", "venue": "40212770", "year": "2001", "title": "absolute continuity of heat kernel measure with pinned wiener measure on loop groups", "label": [ "102065156", "125077839", "134306372", "118733216", "51568863", "90673727", "183212220", "114614502", "187915474", "178042281" ], "author": [ "2216328372", "1232769918" ], "reference": [ "76162425", "144680298", "167380816", "1031367881", "1531801092", "1597292016", "1599382417", "1968339027", "1974932891", "1987526251", "1988949407", "1989041052", "1991520303", "1994688945", "1995522593", "1997260486", "2021555933", "2029551684", "2032651674", "2060588344", "2065283167", "2085568479", "2093664906", "2111269348", "2321772632", "2326825004" ], "abstract": "let t 0 k be a connected compact lie group equipped with an ad k invariant inner product on the lie algebra of k associated to this data are two measures 0 t and t 0 on l k the space of continuous loops based at e e k the measure 0 t is pinned wiener measure with variance t while the measure 0 t is a heat kernel measure on l k the measure 0 t is constructed using a k valued brownian motion while the measure 0 t is constructed using a l k valued brownian motion in this paper we show that 0 t is absolutely continuous with respect to 0 t and the radon nikodym derivative d 0 t d 0 t is bounded", "title_raw": "Absolute Continuity of Heat Kernel Measure with Pinned Wiener Measure on Loop Groups", "abstract_raw": "Let t > 0, K be a connected compact Lie group equipped with an Ad K - invariant inner product on the Lie Algebra of K. Associated to this data are two measures \u03bc 0 t and \u03bdt 0 on L(K) - the space of continuous loops based at e e K. The measure \u03bc 0 t is pinned Wiener measure with variance t while the measure \u03bd 0 t is a heat kernel measure on L(K). The measure \u03bc 0 t is constructed using a K - valued Brownian motion while the measure \u03bd 0 t is constructed using a L(K) - valued Brownian motion. In this paper we show that \u03bd 0 t is absolutely continuous with respect to \u03bc 0 t and the Radon-Nikodym derivative d\u03bd 0 t /d\u03bc 0 t is bounded." }, { "paper": "2067386965", "venue": "159544283", "year": "2001", "title": "a geometrical approach on generalized inverses by neumann type series", "label": [ "2777795832", "134306372", "186080144", "139352143", "202444582", "21556879", "121152540", "137343772", "144618667" ], "author": [ "2097201079", "2169907715", "2116477201" ], "reference": [ "1500921805", "1980603302", "1984755089", "1997760822", "2042528856", "2055576996", "2068259075", "2077639421", "2081250824", "2086399057" ], "abstract": "the convergence of the neumann type series to 1 2 inverses has been shown by k tanabe linear algebra appl 10 1975 163 in this paper these results indicating conditions characterizing the convergence of this series to different generalized inverses are extended in addition these results for obtaining different generalized inverses from the hyperpower method are applied finally generalized involutory matrices are introduced and characterized using the obtained results", "title_raw": "A geometrical approach on generalized inverses by Neumann-type series", "abstract_raw": "The convergence of the Neumann-type series to {1,2}-inverses has been shown by K. Tanabe [Linear Algebra Appl. 10 (1975) 163]. In this paper, these results indicating conditions characterizing the convergence of this series to different generalized inverses are extended. In addition, these results for obtaining different generalized inverses from the hyperpower method are applied. Finally, generalized involutory matrices are introduced and characterized using the obtained results." }, { "paper": "2047372375", "venue": "100601982", "year": "2001", "title": "modulating pulse solutions for a class of nonlinear wave equations", "label": [ "198352243", "142805521", "178685544", "59696629", "134306372" ], "author": [ "2100161162", "2439640123" ], "reference": [ "1508154630", "1527296550", "1997475090", "2017549018", "2027451299", "2034493562", "2051347295", "2053959672", "2057337333", "2058028283", "2062935067", "2067265108", "2090885565", "2135412969", "2148554377", "2152203759", "2170019858" ], "abstract": "we consider modulating pulse solutions for a nonlinear wave equation on the infinite line such a solution consists of a permanent pulse like envelope steadily advancing in the laboratory frame and modulating an underlying wave train the problem is formulated as an infinite dimensional dynamical system with one stable one unstable and infinitely many neutral directions using a partial normal form and invariant manifold theory we establish the existence of modulating pulse solutions which decay to small amplitude disturbances at large distances", "title_raw": "Modulating Pulse Solutions for a Class\u00b6of Nonlinear Wave Equations", "abstract_raw": "We consider modulating pulse solutions for a nonlinear wave equation on the infinite line. Such a solution consists of a permanent pulse-like envelope steadily advancing in the laboratory frame and modulating an underlying wave-train. The problem is formulated as an infinite-dimensional dynamical system with one stable, one unstable and infinitely many neutral directions. Using a partial normal form and invariant-manifold theory we establish the existence of modulating pulse solutions which decay to small-amplitude disturbances at large distances." }, { "paper": "2024101523", "venue": "159544283", "year": "2001", "title": "on a class of matrices with low displacement rank", "label": [ "133589720", "6497535", "202444582", "139018669", "17349429", "62555958", "105129939", "118615104", "149488123", "137127113" ], "author": [ "2059884804", "2189173035" ], "reference": [ "1545748428", "1662925675", "1968750349", "1975619882", "1976328887", "1986676404", "1987435188", "2000196374", "2001039887", "2036932727", "2054037316", "2131184477", "2169214897" ], "abstract": "am atrixa such that for some matrices u and v the matrix au va or the matrix a va uhas a rank which is small compared with the order of the matrix is called a matrix with displacement structure in this paper the authors single out a new class of matrices with displacement structure namely finite sections of recursive matrices which includes the class of finite hurwitz matrices widely used in computer graphics for such matrices it is possible to give an explicit evaluation of the displacement rank and an algebraic description and hence a stable numerical evaluation of the corresponding generators the generalized schur algorithm can therefore be used for the fast factorization of some classes of such matrices and exhibits a backward stable behavior 2001 elsevier science inc all rights reserved", "title_raw": "On a class of matrices with low displacement rank", "abstract_raw": "Am atrixA such that, for some matrices U and V, the matrix AU VA or the matrix A VA Uhas a rank which is small compared with the order of the matrix is called a matrix with displacement structure. In this paper the authors single out a new class of matrices with displacement structure\u2014namely, finite sections of recursive matrices\u2014which includes the class of finite Hurwitz matrices, widely used in computer graphics. For such matrices it is possible to give an explicit evaluation of the displacement rank and an algebraic description, and hence a stable numerical evaluation, of the corresponding generators. The generalized Schur algorithm can therefore be used for the fast factorization of some classes of such matrices, and exhibits a backward stable behavior. \u00a9 2001 Elsevier Science Inc. All rights reserved." }, { "paper": "2106419665", "venue": "85738991", "year": "2001", "title": "spatial polarization and pattern diversity for wireless handheld terminals", "label": [ "81978471", "60069766", "164785522", "198746922", "154910267" ], "author": [ "2110947174", "2111345618", "2685332728", "164362466" ], "reference": [ "1596939795", "1673445759", "1868282648", "1947913379", "1974225055", "2015470332", "2029425498", "2069334244", "2093749824", "2096647193", "2110110719", "2116486284", "2117209820", "2120721514", "2121091528", "2123717129", "2126876116", "2129373899", "2136370848", "2146318236", "2149381971", "2155484528", "2156499139", "2158535006", "2159539707", "2164475813", "2165212481", "2592080236" ], "abstract": "this paper examines the antenna diversity configurations that improve the performance in handheld radios experiments using spatial polarization and pattern diversity were conducted for both line of sight los and obstructed outdoor and indoor multipath channels that experienced ricean fading antenna separation polarization and pattern were varied independently to the extent possible envelope correlation power imbalance and diversity gain were calculated from the measurements diversity performance is measured by diversity gain which is the difference in signal to noise ratio snr between the output of a diversity combiner and the signal on a single branch measured at a given probability level diversity gain increases with decreasing envelope correlation between the antenna diversity branches however diversity gain decreases as the power imbalance between diversity branches increases because a branch that has a weak signal has only a small contribution to the combined signal diversity gain values of 7 9 db at the 99 reliability level were achieved in non line of sight nlos channels for all diversity configurations even with very small antenna spacings the use of polarization diversity reduced polarization mismatches improving snr by up to 12 db even in los channels", "title_raw": "Spatial, polarization, and pattern diversity for wireless handheld terminals", "abstract_raw": "This paper examines the antenna diversity configurations that improve the performance in handheld radios. Experiments using spatial, polarization, and pattern diversity were conducted for both line-of-sight (LOS) and obstructed outdoor and indoor multipath channels that experienced Ricean fading. Antenna separation, polarization, and pattern were varied independently to the extent possible. Envelope correlation, power imbalance, and diversity gain were calculated from the measurements. Diversity performance is measured by diversity gain, which is the difference in signal-to-noise ratio (SNR) between the output of a diversity combiner and the signal on a single branch, measured at a given probability level. Diversity gain increases with decreasing envelope correlation between the antenna diversity branches. However, diversity gain decreases as the power imbalance between diversity branches increases because a branch that has a weak signal has only a small contribution to the combined signal. Diversity gain values of 7-9 dB at the 99% reliability level were achieved in non-line-of-sight (NLOS) channels for all diversity configurations even with very small antenna spacings. The use of polarization diversity reduced polarization mismatches, improving SNR by up to 12 dB even in LOS channels." }, { "paper": "2066650066", "venue": "168680287", "year": "2001", "title": "block median pyramidal transform analysis and denoising applications", "label": [ "113976600", "191178318", "102248274", "11413529", "90119067", "126255220" ], "author": [ "2002298359", "1884383969", "28193131", "2334741478" ], "reference": [ "42203131", "104564914", "1503054691", "1556066317", "1630120088", "1892771069", "1991934994", "2008793674", "2020781433", "2025607280", "2033911870", "2035778205", "2099831875", "2103504761", "2104413168", "2108068316", "2114335971", "2117671548", "2117843530", "2121329704", "2123075579", "2146414944", "2146842127", "2147985697", "2156195954", "2170825331", "2294663992", "2476868371", "3017527131", "3042152707" ], "abstract": "a nonlinear multiscale pyramidal transform based on nonoverlapping block decompositions using the median operation and a polynomial approximation is considered it is shown that this structure can be useful for denoising of oneand two dimensional 1 d and 2 d signals various denoising techniques are analyzed including methods based on spatially adaptive thresholding and partial cycle spinning algorithms an analytical method for deriving the distribution function of the transform coefficients is also presented this in turn can be used for the selection of thresholds for denoising applications", "title_raw": "Block-median pyramidal transform: analysis and denoising applications", "abstract_raw": "A nonlinear multiscale pyramidal transform based on nonoverlapping block decompositions using the median operation and a polynomial approximation is considered. It is shown that this structure can be useful for denoising of oneand two-dimensional (1-D and 2-D) signals. Various denoising techniques are analyzed, including methods based on spatially adaptive thresholding and partial cycle-spinning algorithms. An analytical method for deriving the distribution function of the transform coefficients is also presented. This, in turn, can be used for the selection of thresholds for denoising applications." }, { "paper": "1973948475", "venue": "200871675", "year": "2001", "title": "dynamical systems and traveling waves in almost periodic structures", "label": [ "2777021972", "34862557", "134306372", "97292510", "57691317", "79379906" ], "author": [ "2150700936" ], "reference": [ "54315706", "135543600", "186599579", "197647734", "1506727362", "1557040331", "1560060148", "1602967628", "1690554132", "1964704012", "1967953792", "1969220758", "1969504525", "1970739133", "1973159727", "1976792869", "1993693726", "1995569605", "2002865886", "2003128769", "2016697490", "2020718248", "2027447627", "2035955284", "2039609624", "2039771983", "2044102473", "2044879434", "2046960180", "2047189062", "2049286744", "2051002428", "2052172730", "2052827802", "2058962910", "2069946517", "2073289536", "2074155894", "2075182728", "2079949023", "2101495277", "2109860009", "2165569123", "2207223089", "2334922253", "2461150107", "2517757790", "2587774887", "2967819933", "3021722416" ], "abstract": "abstract the paper is devoted to the study of traveling waves in almost periodic structures by applying dynamical system theory motivated by the fact that almost automorphic dynamics often exists though almost periodic dynamics may not in scalar almost periodic odes and parabolic pdes we introduce a definition of almost automorphic traveling waves and investigate the existence of such traveling waves in general almost periodic structures in the author s earlier work a notion of almost periodic traveling wave solution is introduced roughly a solution is an almost automorphic almost periodic traveling wave solution if its propagating profile and speed are almost automorphic almost periodic functions our basic point of view is that traveling wave solutions are the limits of certain wave like solutions we therefore study the existence of almost automorphic traveling wave solutions through the long time behavior of wave like solutions we first investigate the existence of wave like solutions then by utilizing dynamical system theory we explore the convergence of wave like solutions to alsmot automorphic almost periodic traveling wave solutions besides based on the arguments established in the author s earlier work on bistable equations we show the stability uniqueness and almost periodicity of almost automorphic traveling wave solutions in almost periodic equations of multi stable type applying the general theory developed in the paper to almost periodic equations of kpp type we show the existence of a family of almost automorphic traveling waves under some conditions", "title_raw": "Dynamical Systems and Traveling Waves in Almost Periodic Structures", "abstract_raw": "Abstract The paper is devoted to the study of traveling waves in almost periodic structures by applying dynamical system theory. Motivated by the fact that almost automorphic dynamics often exists (though almost periodic dynamics may not) in scalar almost periodic ODEs and parabolic PDEs, we introduce a definition of almost automorphic traveling waves and investigate the existence of such traveling waves in general almost periodic structures. In the author's earlier work, a notion of almost periodic traveling wave solution is introduced. Roughly, a solution is an almost automorphic (almost periodic) traveling wave solution if its propagating profile and speed are almost automorphic (almost periodic) functions. Our basic point of view is that traveling wave solutions are the limits of certain wave-like solutions. We therefore study the existence of almost automorphic traveling wave solutions through the long time behavior of wave-like solutions. We first investigate the existence of wave-like solutions. Then by utilizing dynamical system theory, we explore the \u201cconvergence\u201d of wave-like solutions to alsmot automorphic (almost periodic) traveling wave solutions. Besides, based on the arguments established in the author's earlier work on bistable equations, we show the stability, uniqueness, and almost periodicity of almost automorphic traveling wave solutions in almost periodic equations of multi-stable type. Applying the general theory developed in the paper to almost periodic equations of KPP type, we show the existence of a family of almost automorphic traveling waves under some conditions." }, { "paper": "1976134960", "venue": "24688465", "year": "2001", "title": "derivation of non isotropic phase equations from a general reaction diffusion equation", "label": [ "200602138", "159785203", "70985411", "48170192", "93779851", "37914503", "129747778", "134306372", "78045399" ], "author": [ "2032899617", "2111068018" ], "reference": [ "2025482666", "2089591152", "3021251064" ], "abstract": "abstract a non isotropic version of phase equations such as the burgers equation the kdv burgers equation the kuramoto sivashinsky equation and the benney equation in the three dimensional space is consistently and systematically derived from a general reaction diffusion system by means of the renormalization group method", "title_raw": "Derivation of non-isotropic phase equations from a general reaction\u2013diffusion equation", "abstract_raw": "Abstract A non-isotropic version of phase equations such as the Burgers equation, the KdV\u2013Burgers equation, the Kuramoto\u2013Sivashinsky equation and the Benney equation in the three-dimensional space is consistently and systematically derived from a general reaction\u2013diffusion system by means of the renormalization group method." }, { "paper": "2128342968", "venue": "184954342", "year": "2001", "title": "a cutting plane algorithm for robustness analysis of periodically time varying systems", "label": [ "65244806", "129844170", "41045048", "157972887", "137836250", "6802819", "126255220", "97970142", "31531917" ], "author": [ "2986002178", "1976004078", "2038245960" ], "reference": [ "140715635", "1544620932", "1571698698", "1599159555", "1601803999", "1603586556", "1973855533", "1980905749", "2009378992", "2041599674", "2078625090", "2095583550", "2097944741", "2126913149", "2130613450", "2140974698", "2156392203", "2159183668", "2160326645", "2250342892", "2336839322", "2564133257", "2629566394", "3034208633" ], "abstract": "an algorithm for robustness analysis of periodic systems is derived the system under consideration consists of a linear periodically time varying plant in feedback interconnection with a structured uncertainty conditions for robust stability and robust performance can be formulated in terms of periodic integral quadratic constraints iqcs in this way the robustness analysis becomes a problem of optimizing the parameters of the iqc a cutting plane algorithm is suggested for solving this infinite dimensional optimization problem", "title_raw": "A cutting plane algorithm for robustness analysis of periodically time-varying systems", "abstract_raw": "An algorithm for robustness analysis of periodic systems is derived. The system under consideration consists of a linear periodically time-varying plant in feedback interconnection with a structured uncertainty. Conditions for robust stability and robust performance can be formulated in terms of periodic integral quadratic constraints (IQCs). In this way, the robustness analysis becomes a problem of optimizing the parameters of the IQC. A cutting plane algorithm is suggested for solving this infinite-dimensional optimization problem." }, { "paper": "2071818855", "venue": "151579836", "year": "2001", "title": "on the existence of periodic solutions for the quasi linear third order differential equation", "label": [ "206929604", "138578839", "2777423538", "2776378722", "134306372", "78045399", "158622935", "5961521" ], "author": [ "2246379462", "2631249453" ], "reference": [ "2066006119" ], "abstract": "abstract in this paper we consider the nonlinear third order quasi linear differential equation x k 2 x f x x x and obtain some simple conditions for the existence of a periodic solution for it in so doing we use the implicit function theorem to prove a theorem about the existence of periodic solutions and consider one example to show the realizability of the conditions the validity of the conditions for the parameter free problem x k 2 x f x x x also is considered", "title_raw": "On the Existence of Periodic Solutions for the Quasi-Linear Third-Order Differential Equation", "abstract_raw": "Abstract In this paper we consider the nonlinear third-order quasi-linear differential equation x\u2034 + k 2 x\u2032 = \u03f5f x , x \u2032, x \u2033 and obtain some simple conditions for the existence of a periodic solution for it. In so doing we use the implicit function theorem to prove a theorem about the existence of periodic solutions and consider one example to show the realizability of the conditions. The validity of the conditions for the parameter-free problem x\u2034 + k 2 x\u2032 = f x , x \u2032, x \u2033 also is considered." }, { "paper": "2040167106", "venue": "90727058", "year": "2001", "title": "multiple splicing systems and the universal computability", "label": [ "125565743", "82047324", "146072743", "142805521", "152062344", "203264685" ], "author": [ "2176624287", "2071529468" ], "reference": [ "51443600", "1484522079", "1582031353", "1584587517", "1971348198", "1977312644", "2003192754", "2035004935", "2058302256", "2078764128", "2078808192", "2084129848", "2097455171", "2144620949", "2159746583", "2326418800" ], "abstract": "we propose a new extension of splicing systems called multiple splicing systems based on a kind of logic grammars first we introduce a class of elementary formal systems called simple h form efs and show that its generative power is equivalent to the class of basic splicing systems the original head s splicing system and is more adequate as representation device for formal languages next we gradually extend the simple class of efss and get a very natural extension of splicing systems multiple splicing systems we show that multiple splicing systems have universal computability", "title_raw": "Multiple splicing systems and the universal computability", "abstract_raw": "We propose a new extension of splicing systems, called multiple splicing systems, based on a kind of logic grammars. First, we introduce a class of Elementary formal systems, called simple H-form EFS, and show that its generative power is equivalent to the class of basic splicing systems (the original Head's splicing system) and is more adequate as representation device for formal languages. Next, we gradually extend the simple class of EFSs and get a very natural extension of splicing systems, multiple splicing systems. We show that multiple splicing systems have universal computability." }, { "paper": "2056165813", "venue": "159544283", "year": "2001", "title": "invariant factor assignment under state feedback and output injection", "label": [ "2780128404", "65244806", "49209780" ], "author": [ "2577094294", "2168998068" ], "reference": [ "154292103", "648136064", "938116964", "1545748428", "1560592371", "1964955699", "1986270294", "1987906267", "2006309149", "2013203812", "2014694189", "2019599328", "2025511418", "2050125783", "2052967887", "2056466525", "2058100484", "2078307864", "2078362498", "2085849252", "2090223047", "2116963806", "2179748639", "2399928688", "2798813531" ], "abstract": "for a given system a b c necessary and sufficient conditions are given to assign invariant factors to the matrix of the system performing a state feedback and an output injection over an arbitrary field", "title_raw": "Invariant factor assignment under state feedback and output injection", "abstract_raw": "For a given system (A,B,C) necessary and sufficient conditions are given to assign invariant factors to the matrix of the system performing a state feedback and an output injection, over an arbitrary field." }, { "paper": "2065407904", "venue": "184147796", "year": "2001", "title": "points having the same residue field as their image under a morphism", "label": [ "192740996", "2781025942", "2780528193", "118615104", "137212723" ], "author": [ "1989403104" ], "reference": [ "1502502272", "3129164504" ], "abstract": "", "title_raw": "Points Having the Same Residue Field as Their Image under a Morphism", "abstract_raw": "" }, { "paper": "2076995085", "venue": "200871675", "year": "2001", "title": "existence theory for single and multiple solutions to singular positone boundary value problems", "label": [ "42045870", "92571104", "135909967", "82047721", "182310444", "158622935", "52890695", "134306372", "154416045" ], "author": [ "2222379030", "2140111608" ], "reference": [ "583292912", "655073185", "1555674425", "1970375348", "1975221158", "1978792933", "2017664771", "2028900896", "2039745296", "2061218491", "2072898658", "2078420352", "2300440957" ], "abstract": "abstract in this paper we present some old and new existence results for singular boundary value problems our nonlinearity may be singular in its dependent variable", "title_raw": "Existence theory for single and multiple solutions to singular positone boundary value problems", "abstract_raw": "Abstract In this paper we present some old and new existence results for singular boundary value problems. Our nonlinearity may be singular in its dependent variable." }, { "paper": "2053216403", "venue": "59933527", "year": "2001", "title": "regular languages accepted by quantum automata", "label": [ "118615104", "202444582", "174784677", "68576872" ], "author": [ "2015157942", "2283126844" ], "reference": [ "177913229", "1506437980", "1512218661", "1746278515", "1906651570", "1964952177", "1974875620", "1979260239", "1993248778", "1994894686", "1996360405", "2000920814", "2002089154", "2007275810", "2012206667", "2024017627", "2026402424", "2033216491", "2040172407", "2050334794", "2064109805", "2067763535", "2071090470", "2087634531", "2093896185", "2101088258", "2102008187", "2105259569", "2115757125", "2137005141", "2148132004", "2156313614", "2160083149", "2179731956", "2601248643", "3011907935", "3124646130" ], "abstract": "in this paper we analyze some features of the behaviour of quantum automata in particular we prove that the class of languages recognized by quantum automata with isolated cut point is the class of reversible regular languages as a more general result we give a bound on the inverse error that implies the regularity of the language accepted by a quantum automaton", "title_raw": "Regular Languages Accepted by Quantum Automata", "abstract_raw": "In this paper we analyze some features of the behaviour of quantum automata. In particular we prove that the class of languages recognized by quantum automata with isolated cut point is the class of reversible regular languages. As a more general result, we give a bound on the inverse error that implies the regularity of the language accepted by a quantum automaton." }, { "paper": "2151165437", "venue": "114406506", "year": "2001", "title": "numerical invariants of phantom maps", "label": [ "123419369", "144618667", "156772000", "202232017", "128489963", "202444582", "118615104", "5961521", "50555996" ], "author": [ "2679454632", "2672301932" ], "reference": [ "612190972", "641742619", "972997851", "1507757162", "1541776832", "1602776465", "1969611893", "2011716180", "2041722400", "2061703721", "2071799122", "2322471646" ], "abstract": "in this paper two numerical invariants of phantom maps are studied the gray index g f and the essential category weight e f of a phantom map f the possible values of these invariants are determined along with bounds on their values given in terms of the domain and range of the phantom map examples are given which show that the gray index can take any positive finite value furthermore if map x y then every phantom map f x y has finite gray index on the other hand if x has finite type and h x p is not locally finite as an p module then essential phantoms out of x with g f are shown to exist if x is homotopy equivalent to a finite dimensional cw complex then every phantom map f x y has e f however if map x y then every map f x y has e f an example is given such that this mapping space hypothesis is necessary calculations of e f f orf k n s m are given they demonstrate that e f can also take any positive finite value finally a new filtration is introduced on certain phantom sets it is used to sharpen a result of mcgibbon and roitberg the new result is that if x is nilpotent of finite type and ph x s n 1 for each n such that qh n x 0 then ph x y for each finite type nilpotent space y introduction by a phantom map we mean a pointed map f from a cw complex x to another space y with the property that the restriction of f to the n skeleton f xn is nullhomotopic for each natural number n in this paper we study certain numerical invariants associated with the homotopy class of such a map namely the gray index and essential category weight these invariants give rise to decreasing filtrations on the set ph x y of pointed homotopy classes of phantom maps from x to y the results in this paper were obtained in a search for finer structure on ph x y assuming this set is nontrivial are there geometric properties which some phantoms have that others do not there are few answers to this sort of question in the literature the only exceptions that we know involve the erratic behavior of localization functors on ph x y see 7 section 6 the natural filtrations we study here provide additional structure that reveals previously un known nonhomogeneous aspects of phantom sets in section 1 we give examples to show that the gray index can take any positive finite value we also find conditions under which every phantom map from x to y must have finite gray index", "title_raw": "NUMERICAL INVARIANTS OF PHANTOM MAPS", "abstract_raw": "In this paper two numerical invariants of phantom maps are studied; the Gray index G( f ) and the essential category weight E( f ) of a phantom map f . The possible values of these invariants are determined along with bounds on their values given in terms of the domain and range of the phantom map. Examples are given which show that the Gray index can take any positive finite value. Furthermore, if Map (X, Y) , then every phantom map f : X Y has finite Gray index. On the other hand, if X has finite type and H (\u03a3X; p) is not locally finite as an p module, then essential phantoms out of X with G( f )= are shown to exist. If \u2126X is homotopy equivalent to a finite dimensional CW complex, then every phantom map f : X Y has E( f )= . However, if Map (X, Y) , then every map f : X Y has E( f ) . An example is given such that this mapping space hypothesis is necessary. Calculations of E( f )f orf : K( , n) S m are given; they demonstrate that E( f ) can also take any positive finite value. Finally, a new filtration is introduced on certain phantom sets. It is used to sharpen a result of McGibbon and Roitberg. The new result is that if X is nilpotent, of finite type, and Ph (X, S n+1 )= for each n such that QH n (X; ) =0 , then Ph (X, Y )= for each finite type nilpotent space Y. Introduction. By a phantom map we mean a pointed map f from a CW- complex X to another space Y with the property that the restriction of f to the n-skeleton, f Xn, is nullhomotopic for each natural number n. In this paper we study certain numerical invariants associated with the homotopy class of such a map, namely the Gray index and essential category weight. These invariants give rise to decreasing filtrations on the set Ph (X, Y) of pointed homotopy classes of phantom maps from X to Y. The results in this paper were obtained in a search for finer structure on Ph (X, Y). Assuming this set is nontrivial, are there geometric properties which some phantoms have that others do not? There are few answers to this sort of question in the literature\u2014the only exceptions that we know involve the erratic behavior of localization functors on Ph (X, Y), (see (7) Section 6). The natural filtrations we study here provide additional structure that reveals previously un- known nonhomogeneous aspects of phantom sets. In Section 1 we give examples to show that the Gray index can take any positive finite value. We also find conditions under which every phantom map from X to Y must have finite Gray index." }, { "paper": "2063022236", "venue": "50372074", "year": "2001", "title": "entropy estimate of a probability density from its mellin transform", "label": [ "141042865", "28826006", "179766858", "70567897", "134306372", "149441793", "200052193", "10288518", "199874217", "197055811" ], "author": [ "1921780627" ], "reference": [ "56012926", "206595410", "1497576442", "1990214608", "1995811910", "2042105895", "2044378215", "2170201775", "2481849377", "2797078163" ], "abstract": "entropy estimate of heavy tailed probability distribution from its mellin transform is considered such an estimate is provided uniquely in terms of expected values obtained from mellin transform some particular cases are analytically investigated as a low number of expected values are available", "title_raw": "Entropy estimate of a probability density from its Mellin transform", "abstract_raw": "Entropy estimate of heavy-tailed probability distribution from its Mellin transform is considered. Such an estimate is provided uniquely in terms of expected values obtained from Mellin transform. Some particular cases are analytically investigated as a low number of expected values are available." }, { "paper": "2068166758", "venue": "73535193", "year": "2001", "title": "explicit solution of certain nonlinear difference equations by using power polynomials", "label": [ "200602138", "84629840", "134306372", "97826883", "158622935", "86607863", "170036204", "21736991", "78045399" ], "author": [ "3169970545" ], "reference": [ "1510531757", "1515644422", "1516519565", "1557452007", "1589334904", "1719686946", "1985066099", "1992667681", "2016203528", "2026905350", "2042003486", "2051986010", "2064720668", "2076037470", "2102374239" ], "abstract": "abstract the paper presents new results related to explicit solutions of certain nonlinear difference equations which appear very often in studies of two linear simultaneous partial differential equations with damping terms it is shown that the determination of the ratios of solutions corresponding to transversal and longitudinal signals can be based on particular forms of power polynomials in indeterminate y y s depending on the equations coefficients and the complex frequency s some basic properties of the power polynomials are investigated and links between them are established problems involving equalities and limits are also solved", "title_raw": "Explicit solution of certain nonlinear difference equations by using power polynomials", "abstract_raw": "Abstract The paper presents new results related to explicit solutions of certain nonlinear difference equations which appear very often in studies of two linear simultaneous partial differential equations with damping terms. It is shown that the determination of the ratios of solutions corresponding to transversal and longitudinal signals can be based on particular forms of power polynomials in indeterminate y = y(s) depending on the equations' coefficients and the complex frequency s. Some basic properties of the power polynomials are investigated, and links between them are established. Problems involving equalities and limits are also solved." }, { "paper": "2013695187", "venue": "103321696", "year": "2001", "title": "using competence sets to analyze the consumer decision problem", "label": [ "120936955", "115988155", "186116695", "97944126", "59594135" ], "author": [ "2599613391" ], "reference": [ "74222160", "114552300", "189013878", "606472166", "621724833", "1160521317", "1481142035", "1556265791", "1570082825", "1595267951", "1602197886", "1655203505", "1708874574", "1896340526", "1968602537", "1972016823", "1972557675", "1982548767", "1988853186", "1989605611", "1989789878", "1990513740", "1994204779", "2022164837", "2025604780", "2027219600", "2036389121", "2044398113", "2065693291", "2075043260", "2083880028", "2103591548", "2110094096", "2118451146", "2316662448", "2325791739", "2341166017", "2408341091", "2577016098", "3043771091", "3144933300" ], "abstract": "abstract this study is intended to provide a different approach to complement the existing consumer decision models cdms based on the concept of habitual domains and competence sets we supply a framework for helping a firm in expanding the benefits of its products to fully address the consumer s needs according to the features of consumers decision making we use challenging problem types to explore extensive problem solving fuzzy problem types for limited problem solving and routine and mixed routine problem types for routine problem solving in addition several useful indexes are established using fuzzy measures in this study including the possibility of successfully appealing to consumers the degree of consumer satisfaction the degree of compatibility and the degree of uniqueness these indexes can be a decision support for implementing competence set analysis in practical applications finally an empirical study on children s apparel was conducted to show the applicability and feasibility of our proposed method in practice", "title_raw": "Using competence sets to analyze the consumer decision problem", "abstract_raw": "Abstract This study is intended to provide a different approach to complement the existing consumer decision models (CDMs). Based on the concept of habitual domains and competence sets, we supply a framework for helping a firm in expanding the benefits of its products to fully address the consumer\u2019s needs. According to the features of consumers\u2019 decision making, we use challenging problem types to explore extensive problem solving, fuzzy problem types for limited problem solving, and routine and mixed routine problem types for routine problem solving. In addition, several useful indexes are established using fuzzy measures in this study, including the possibility of successfully appealing to consumers, the degree of consumer satisfaction, the degree of compatibility, and the degree of uniqueness. These indexes can be a decision support for implementing competence set analysis in practical applications. Finally, an empirical study on children\u2019s apparel was conducted to show the applicability and feasibility of our proposed method in practice." }, { "paper": "2069626036", "venue": "61604500", "year": "2001", "title": "lifetime for certain chemical systems at criticality", "label": [ "11577676", "2778533034", "62354387" ], "author": [ "2024875588", "347205831", "2114619927" ], "reference": [ "1537755158", "1995397995", "2009816916", "2024571871", "2037006782", "2053458302", "2082649263", "2085266415", "2799235258" ], "abstract": "abstract we consider an autocatalytic chemical system which is exactly at criticality so that the absorbing state lies on the boundary corresponding to the extinction of a species the average time to reach the absorbing state depends strongly on the distance from the initial state to the boundary and grows like the square root of the volume it can be estimated in generic critical situations these results are verified explicitly on an example for which a direct calculation can be done", "title_raw": "Lifetime for certain chemical systems at criticality", "abstract_raw": "Abstract We consider an autocatalytic chemical system which is exactly at criticality so that the absorbing state lies on the boundary corresponding to the extinction of a species. The average time to reach the absorbing state depends strongly on the distance from the initial state to the boundary and grows like the square root of the volume. It can be estimated in generic critical situations. These results are verified explicitly on an example, for which a direct calculation can be done." }, { "paper": "1988626533", "venue": "151579836", "year": "2001", "title": "linearized oscillation of first order nonlinear neutral delay differential equations", "label": [ "134306372", "158622935", "37914503", "147504518", "77346573", "78045399", "2779083812" ], "author": [ "2993395683", "2709279600" ], "reference": [ "610742528", "653547768", "2010635470", "2041479150", "2080575152", "2480210315" ], "abstract": "abstract in this paper we establish a equivalence of oscillation for the first order nonlinear neutral delay differential equation x t px t i 1 m q i f i x t i 0 and its corresponding linear equation x t px t i 1 m q i x t i 0 under a weaker condition on fi", "title_raw": "Linearized Oscillation of First-Order Nonlinear Neutral Delay Differential Equations\u2606\u2606\u2606", "abstract_raw": "Abstract In this paper we establish a equivalence of oscillation for the first-order nonlinear neutral delay differential equation, x t \u2212 px t \u2212 \u03c4 \u2032 + \u2211 i = 1 m q i f i x t \u2212 \u03c3 i = 0, and its corresponding linear equation, x t \u2212 px t \u2212 \u03c4 \u2032 + \u2211 i = 1 m q i x t \u2212 \u03c3 i = 0, under a weaker condition on fi." }, { "paper": "2000191646", "venue": "103321696", "year": "2001", "title": "fuzzy goal programming with different importance and priorities", "label": [ "60509570", "191617201", "61157135", "126255220", "205826798", "203223496" ], "author": [ "2129199406", "2723681876" ], "reference": [ "133230733", "1559579618", "1601844247", "1608493927", "1963930337", "1965584517", "1965991245", "1977920116", "1978842982", "1983896419", "1988131669", "1989130073", "1993841150", "1998674797", "1999571264", "2006877689", "2017448240", "2020581651", "2022653632", "2023954338", "2026033545", "2030842013", "2032207798", "2032220291", "2033591598", "2039796074", "2039887750", "2044407564", "2046220381", "2073999483", "2075106202", "2086390519", "2086646689", "2087319522", "2091120028", "2092518527", "2099867994", "2106164777", "2107390469", "2117222609", "2125032480", "2158550687", "2159197775", "2219891427" ], "abstract": "abstract this paper formulates fuzzy goal programming fgp incorporating different importance and preemptive priorities by using an additive model to maximize the sum of achievement degrees of all fuzzy goals in contrast to previous works the proposed approach allows the decision maker to determine a desirable achievement degree for each fuzzy goal to reflect explicitly the relative importance of these goals this approach can generate a set of achievement degrees consistent with the decision maker s expectations even though the relative importance of the goals may change furthermore in this paper we incorporate the decision maker s preemptive priority structure into a single formulation the resulting solutions satisfy both the preemptive priority structure and have the maximum achievement degrees in sum the proposed approaches effectiveness and computational superiority over the existing approaches are demonstrated and compared with examples from the literature", "title_raw": "Fuzzy goal programming with different importance and priorities", "abstract_raw": "Abstract This paper formulates fuzzy goal programming (FGP) incorporating different importance and preemptive priorities by using an additive model to maximize the sum of achievement degrees of all fuzzy goals. In contrast to previous works, the proposed approach allows the decision-maker to determine a desirable achievement degree for each fuzzy goal to reflect explicitly the relative importance of these goals. This approach can generate a set of achievement degrees consistent with the decision-maker's expectations, even though the relative importance of the goals may change. Furthermore, in this paper we incorporate the decision-maker's preemptive priority structure into a single formulation. The resulting solutions satisfy both the preemptive priority structure and have the maximum achievement degrees in sum. The proposed approaches' effectiveness and computational superiority over the existing approaches are demonstrated and compared with examples from the literature." }, { "paper": "3103088189", "venue": "185067381", "year": "2001", "title": "hierarchy of chaotic maps with an invariant measure", "label": [ "115667082", "202444582", "70567897", "194271172", "164380108", "191544260", "2781349735", "61445026" ], "author": [ "2432921779", "2463263498", "2162736444", "3103830483" ], "reference": [ "1967755877", "1979684610", "1984930436", "2035667853", "2053423871", "3109381375" ], "abstract": "we give hierarchy of one parameter family x of maps at the interval 0 1 with an invariant measure using the measure we calculate kolmogorov sinai entropy or equivalently lyapunov characteristic exponent of these maps analytically where the results thus obtained have been approved with the numerical simulation in contrary to the usual one parameter family of maps such as logistic and tent maps these maps do not possess period doubling or period n tupling cascade bifurcation to chaos but they have single fixed point attractor for certain values of the parameter where they bifurcate directly to chaos without having period n tupling scenario exactly at those values of the parameter whose lyapunov characteristic exponent begins to be positive", "title_raw": "Hierarchy of Chaotic Maps with an Invariant Measure", "abstract_raw": "We give hierarchy of one-parameter family \u03a6(\u03b1, x) of maps at the interval [0, 1] with an invariant measure. Using the measure, we calculate Kolmogorov-Sinai entropy, or equivalently Lyapunov characteristic exponent of these maps analytically, where the results thus obtained have been approved with the numerical simulation. In contrary to the usual one-parameter family of maps such as logistic and tent maps, these maps do not possess period doubling or period-n-tupling cascade bifurcation to chaos, but they have single fixed point attractor for certain values of the parameter, where they bifurcate directly to chaos without having period-n-tupling scenario exactly at those values of the parameter whose Lyapunov characteristic exponent begins to be positive." }, { "paper": "2135031046", "venue": "134818455", "year": "2001", "title": "non gaussian invariant measures for the majda model of decaying turbulent transport", "label": [ "115667082", "91188154", "134306372", "110521144", "57691317", "149441793" ], "author": [ "1483545360" ], "reference": [ "127648849", "603748733", "1648369312", "1970031214", "1973771388", "1991039467", "2008481796", "2011032774", "2020622259", "2028148354", "2040452482", "2040712016", "2042957355", "2042982364", "2046434144", "2047413323", "2048132125", "2052166896", "2053019467", "2062311276", "2078472869", "2090020831", "2095285232", "2097945645", "2128124249", "2133904834", "2612376964" ], "abstract": "the problem of turbulent transport of a scalar field by a random velocity field is considered the scalar field amplitude exhibits rare but very large fluctuations whose typical signature is fatter than gaussian tails for the probability distribution of the scalar the existence of such large fluctuations is related to clustering phenomena of the lagrangian paths within the flow this suggests an approach to turn the large deviation problem for the scalar field into a small deviation or small ball problem for some appropriately defined process measuring the spreading with time of the lagrangian paths here such a methodology is applied to a model proposed by majda consisting of a white in time linear shear flow and some generalizations of it where the velocity field has finite or even infinite correlation time the non gaussian invariant measure for the reduced scalar field is derived and in particular it is shown that the one point distribution of the scalar has stretched exponential tails with a stretching exponent depending on the parameters in the model different universality classes for the scalar behavior are identified which all other parameters being kept fixed display a one to one correspondence with an exponent measuring time persistence effects in the velocity field c 2001 john wiley sons inc", "title_raw": "Non-Gaussian invariant measures for the majda model of decaying turbulent transport", "abstract_raw": "The problem of turbulent transport of a scalar field by a random velocity field is considered. The scalar field amplitude exhibits rare but very large fluctuations whose typical signature is fatter than Gaussian tails for the probability distribution of the scalar. The existence of such large fluctuations is related to clustering phenomena of the Lagrangian paths within the flow. This suggests an approach to turn the large-deviation problem for the scalar field into a small-deviation, or small-ball, problem for some appropriately defined process measuring the spreading with time of the Lagrangian paths. Here such a methodology is applied to a model proposed by Majda consisting of a white-in-time linear shear flow and some generalizations of it where the velocity field has finite, or even infinite, correlation time. The non-Gaussian invariant measure for the (reduced) scalar field is derived, and, in particular, it is shown that the one-point distribution of the scalar has stretched exponential tails, with a stretching exponent depending on the parameters in the model. Different universality classes for the scalar behavior are identified which, all other parameters being kept fixed, display a one-to-one correspondence with an exponent measuring time persistence effects in the velocity field. c 2001 John Wiley & Sons, Inc." }, { "paper": "1975460723", "venue": "165651092", "year": "2001", "title": "solving initial value problems by differential quadrature method part 1 first order equations", "label": [ "26955809", "48265008", "134306372", "127349201" ], "author": [ "2305684115" ], "reference": [ "600942415", "1591608973", "1966115869", "1967882753", "1977423049", "1979338377", "2016490279", "2036981510", "2038632102", "2039762586", "2051851535", "2053308055", "2053990927", "2061399023", "2070960801", "2072713278", "2078583357", "2082036529", "2082139169", "2084818100", "2106962445", "2109780386" ], "abstract": "in this paper the differential quadrature method is used to solve first order initial value problems the initial condition is given at the beginning of a time interval the time derivative at a sampling grid point within the time interval can be expressed as a weighted linear sum of the given initial condition and the function values at the sampling grid points within the time interval the order of accuracy and the stability property of the quadrature solutions depend on the locations of the sampling grid points it is shown that the order of accuracy of the quadrature solutions at the end of a time interval can be improved to 2n 1 or 2n if the n sampling grid points are chosen carefully in fact the approximate solutions are equivalent to the generalized pade approximations the resultant algorithms are therefore unconditionally stable with controllable numerical dissipation the corresponding sampling grid points are found to be given by the roots of the modified shifted legendre polynomials from the numerical examples the accuracy of the quadrature solutions obtained by using the proposed sampling grid points is found to be better than those obtained by the commonly used uniformly spaced or chebyshev gauss lobatto sampling grid points copyright 2001 john wiley sons ltd", "title_raw": "Solving initial value problems by differential quadrature method\u2014part 1: first\u2010order equations", "abstract_raw": "In this paper, the differential quadrature method is used to solve first-order initial value problems. The initial condition is given at the beginning of a time interval. The time derivative at a sampling grid point within the time interval can be expressed as a weighted linear sum of the given initial condition and the function values at the sampling grid points within the time interval. The order of accuracy and the stability property of the quadrature solutions depend on the locations of the sampling grid points. It is shown that the order of accuracy of the quadrature solutions at the end of a time interval can be improved to 2n\u20131 or 2n if the n sampling grid points are chosen carefully. In fact, the approximate solutions are equivalent to the generalized Pade approximations. The resultant algorithms are therefore unconditionally stable with controllable numerical dissipation. The corresponding sampling grid points are found to be given by the roots of the modified shifted Legendre polynomials. From the numerical examples, the accuracy of the quadrature solutions obtained by using the proposed sampling grid points is found to be better than those obtained by the commonly used uniformly spaced or Chebyshev\u2013Gauss\u2013Lobatto sampling grid points. Copyright \u00a9 2001 John Wiley & Sons, Ltd." }, { "paper": "2029713048", "venue": "73535193", "year": "2001", "title": "regularity properties of one leg methods for delay differential equations", "label": [ "182365436", "97256817", "2779554487", "147504518", "134306372", "78045399" ], "author": [ "2678502528", "2160167522" ], "reference": [ "316036352", "1535429593", "1964251461", "1971792972", "1972538481", "1986772166", "1995673777", "2009407739", "2059374371", "2060016579", "2090993472", "2093791064", "2102662597", "2103687696" ], "abstract": "abstract the main purpose of this paper is to investigate the asymptotic states of one leg methods for multidelay differential equations in particular the existence of spurious steady solutions and period 2 solutions in constant or variable timestep is studied and the concepts of r 1 regularity and r 2 regularity of one leg methods for multidelay differential equations are introduced and studied some conditions guaranteeing r 1 regularity and r 2 regularity of such methods applied to multidelay differential equations with some important structures are given", "title_raw": "Regularity properties of one-leg methods for delay differential equations", "abstract_raw": "Abstract The main purpose of this paper is to investigate the asymptotic states of one-leg methods for multidelay differential equations. In particular, the existence of spurious steady solutions and period-2 solutions in constant or variable timestep is studied, and the concepts of R [1] -regularity and R [2] -regularity of one-leg methods for multidelay differential equations are introduced and studied. Some conditions guaranteeing R [1] -regularity and R [2] -regularity of such methods applied to multidelay differential equations with some important structures are given." }, { "paper": "2159622529", "venue": "79244937", "year": "2001", "title": "the discrete painleve i equations transcendental integrability and asymptotic solutions", "label": [ "202444582", "49209780", "188370112", "71914180", "9376300", "134306372" ], "author": [ "2707788542", "2153023365", "2935723412" ], "reference": [ "1618812574", "1618970306", "1828839365", "1980552500", "1981243725", "1982418194", "1993070992", "2024472793", "2053785148", "2059254301", "2059283472", "2069321253", "2077030884", "2082361740", "2083388317", "2095287369", "2095341671", "2151084238", "2197815301", "3037659403", "3099061300", "3200698245" ], "abstract": "the integrability of the discrete painleve i equation dp i is reviewed and its integrability studied we establish the existence of a conserved quantity which is algebraic in the case of the autonomous dp i equation and it is argued that the non autonomous dp i map has a non algebraic invariant our analysis leads to among other results the construction of asymptotic solutions with interesting structures", "title_raw": "The discrete Painlev\u00e9 I equations: transcendental integrability and asymptotic solutions", "abstract_raw": "The integrability of the discrete Painleve I equation (dP-I) is reviewed and its integrability studied. We establish the existence of a conserved quantity which is algebraic in the case of the autonomous dP-I equation and it is argued that the non-autonomous dP-I map has a non-algebraic invariant. Our analysis leads to, among other results the construction of asymptotic solutions with interesting structures." }, { "paper": "2088212353", "venue": "99182027", "year": "2001", "title": "on the spurious solutions in complex envelope displacement analysis", "label": [ "2780586882", "11413529", "97256817" ], "author": [ "2218031696", "3172548212" ], "reference": [ "2005486990", "2022683824", "2409630383" ], "abstract": "complex envelope displacement analysis seems to be a promising approach to analyze high frequency structural problems and is expected to be useful to study structural acoustic coupled problems however in the original derivation of the method it was shown the presence of a troublesome spurious solution consisting of a high wavenumber component that would make the envelope approach inefficient the elimination of this term is quite simple for one dimensional systems but in view of more complex developments the problem deserves a serious investigation to explain the origin of this contribution and to introduce a simple and general approach to cancel this term in more general applications in the present paper both these aspects are carefully considered and successfully developed", "title_raw": "ON THE SPURIOUS SOLUTIONS IN COMPLEX ENVELOPE DISPLACEMENT ANALYSIS", "abstract_raw": "Complex envelope displacement analysis seems to be a promising approach to analyze high-frequency structural problems and is expected to be useful to study structural-acoustic coupled problems. However, in the original derivation of the method it was shown the presence of a troublesome spurious solution consisting of a high wavenumber component that would make the envelope approach inefficient. The elimination of this term is quite simple for one-dimensional systems but, in view of more complex developments, the problem deserves a serious investigation to explain the origin of this contribution and to introduce a simple and general approach to cancel this term in more general applications. In the present paper both these aspects are carefully considered and successfully developed." }, { "paper": "2080022619", "venue": "159544283", "year": "2001", "title": "rank equalities for idempotent and involutary matrices", "label": [ "2731191", "85817219", "94940", "90673727", "172252984", "1026927", "62767890", "33375987", "114614502" ], "author": [ "2699364880", "1967583689" ], "reference": [ "274400553", "1487444668", "1521424155", "1602049633", "1999737366", "2016280742", "2055255878", "2059240790", "2061483962", "2068872347", "2073925163", "2077609945", "3142662925" ], "abstract": "abstract we establish several rank equalities for idempotent and involutary matrices in particular we obtain new formulas for the rank of the difference the sum the product and the commutator of idempotent or involutary matrices extensions to scalar potent matrices are also included our matrices are complex and are not necessarily hermitian", "title_raw": "Rank equalities for idempotent and involutary matrices", "abstract_raw": "Abstract We establish several rank equalities for idempotent and involutary matrices. In particular, we obtain new formulas for the rank of the difference, the sum, the product and the commutator of idempotent or involutary matrices. Extensions to scalar-potent matrices are also included. Our matrices are complex and are not necessarily Hermitian." }, { "paper": "2157777966", "venue": "115304631", "year": "2001", "title": "errors in variables modeling in optical flow estimation", "label": [ "126255220", "155542232", "38349280", "10161872", "179024874", "11413529", "3770464", "185429906", "169241690" ], "author": [ "2974568522", "2973675899" ], "reference": [ "1691347442", "1976834773", "2029088553", "2030255580", "2049088815", "2054547524", "2099531331", "2118877769", "2126856905", "2150569751", "2152414733", "2153927237", "2155482878", "2158496182", "2168548563", "2339126849", "2751023760", "3003662786" ], "abstract": "gradient based optical flow estimation methods typically do not take into account errors in the spatial derivative estimates the presence of these errors causes an errors in variables eiv problem moreover the use of finite difference methods to calculate these derivatives ensures that the errors are strongly correlated between pixels total least squares tls has often been used to address this eiv problem however its application in this context is flawed as tls implicitly assumes that the errors between neighborhood pixels are independent in this paper a new optical flow estimation method eivm is formulated to properly treat the eiv problem in optical flow eivm is based on sprent s 1966 procedure which allows the incorporation of a general eiv model in the estimation process in eivm the neighborhood size acts as a smoothing parameter due to the weights in the eivm objective function the effect of changing the neighborhood size is more complex than in other local model methods such as lucas and kanade 1981 these weights which are functions of the flow estimate can alter the effective size and orientation of the neighborhood in this paper we also present a data driven method for choosing the neighborhood size based on stein s unbiased risk estimators sure", "title_raw": "Errors-in-variables modeling in optical flow estimation", "abstract_raw": "Gradient-based optical flow estimation methods typically do not take into account errors in the spatial derivative estimates. The presence of these errors causes an errors-in-variables (EIV) problem. Moreover, the use of finite difference methods to calculate these derivatives ensures that the errors are strongly correlated between pixels. Total least squares (TLS) has often been used to address this EIV problem. However, its application in this context is flawed as TLS implicitly assumes that the errors between neighborhood pixels are independent. In this paper, a new optical flow estimation method (EIVM) is formulated to properly treat the EIV problem in optical flow. EIVM is based on Sprent's (1966) procedure which allows the incorporation of a general EIV model in the estimation process. In EIVM, the neighborhood size acts as a smoothing parameter. Due to the weights in the EIVM objective function, the effect of changing the neighborhood size is more complex than in other local model methods such as Lucas and Kanade (1981). These weights, which are functions of the flow estimate, can alter the effective size and orientation of the neighborhood. In this paper, we also present a data-driven method for choosing the neighborhood size based on Stein's unbiased risk estimators (SURE)." }, { "paper": "1981038532", "venue": "184147796", "year": "2001", "title": "length approximations for independently generated ideals", "label": [ "156923205", "88619972", "83920498", "118211362", "121950690", "46333567", "182817911", "202444582", "118615104", "170320730" ], "author": [ "2130662730" ], "reference": [ "1493500112", "1995096050", "2024964871", "2028695868", "2063509824", "2082258191" ], "abstract": "abstract we study ideals primary to the maximal ideal of a commutative noetherian local ring when such an ideal is generated by elements which are independent in the sense of c lech we prove a lower bound on the length of the quotient ring in terms of the orders of the generators as a corollary we obtain a substantial partial result on lech s conjecture on the multiplicities of a flat couple of local rings", "title_raw": "Length Approximations for Independently Generated Ideals", "abstract_raw": "Abstract We study ideals primary to the maximal ideal of a commutative Noetherian local ring. When such an ideal is generated by elements which are independent in the sense of C. Lech, we prove a lower bound on the length of the quotient ring in terms of the orders of the generators. As a corollary we obtain a substantial partial result on Lech's conjecture on the multiplicities of a flat couple of local rings." }, { "paper": "2111513248", "venue": "40006715", "year": "2001", "title": "a class of general algorithms for multi scale analyses of heterogeneous media", "label": [ "97985569", "135628077", "158622935", "11413529", "11683690", "48753275" ], "author": [ "2110795034", "2156625427" ], "reference": [ "58981949", "81909815", "187887379", "320338864", "585265971", "618955307", "1131656847", "1519713690", "1520204308", "1547781576", "1591230168", "1662321012", "1665371634", "1676467742", "1965013891", "1972074694", "1974309308", "1974962428", "1976952625", "1977882974", "1989581196", "1998166619", "2008521537", "2017550061", "2020077459", "2025019155", "2027239222", "2030960401", "2034222383", "2036101290", "2042447572", "2050143334", "2055929961", "2057625790", "2061175874", "2066310723", "2071519111", "2079130754", "2080836684", "2082480379", "2083423462", "2086956523", "2092685452", "2132757362", "2138438382", "2156883076", "2168041082", "2171750132", "2788630611", "2996149621", "3081922960" ], "abstract": "abstract a class of computational algorithms for multi scale analyses is developed in this paper the two scale modeling scheme for the analysis of heterogeneous media with fine periodic microstructures is generalized by using relevant variational statements instead of the method of two scale asymptotic expansion the mathematical results on the generalized convergence are utilized in the two scale variational descriptions accordingly the global local type computational schemes can be unified in association with the homogenization procedure for general nonlinear problems after formulating the problem in linear elastostatics that with local contact condition and the elastoplastic problem we present representative numerical examples along with the computational algorithm consistent with our two scale modeling strategy as well as some direct approaches", "title_raw": "A class of general algorithms for multi-scale analyses of heterogeneous media", "abstract_raw": "Abstract A class of computational algorithms for multi-scale analyses is developed in this paper. The two-scale modeling scheme for the analysis of heterogeneous media with fine periodic microstructures is generalized by using relevant variational statements. Instead of the method of two-scale asymptotic expansion, the mathematical results on the generalized convergence are utilized in the two-scale variational descriptions. Accordingly, the global\u2013local type computational schemes can be unified in association with the homogenization procedure for general nonlinear problems. After formulating the problem in linear elastostatics, that with local contact condition and the elastoplastic problem, we present representative numerical examples along with the computational algorithm consistent with our two-scale modeling strategy as well as some direct approaches." }, { "paper": "2013603625", "venue": "56603566", "year": "2001", "title": "robust h control for uncertain discrete singular systems with pole placement in a disk", "label": [ "31531917", "6727046", "79699506", "137127113", "65244806", "204322392", "55689738", "112972136" ], "author": [ "2100803789", "2149161852", "2132058295" ], "reference": [ "1513947037", "1517546903", "1547135986", "1963909203", "1966486674", "1980044969", "1995445329", "1997301031", "2037864725", "2038354034", "2042106612", "2042322690", "2052182678", "2067960193", "2069768257", "2079964244", "2173261491", "2548684088", "2950503026" ], "abstract": "abstract this paper addresses the design of robust h controllers for uncertain discrete singular systems with time invariant uncertainty in both the state and measurement matrices the singular system to be controlled is not assumed to be regular a regular dynamic output feedback controller is designed such that a prescribed h performance condition is satisfied and the closed loop poles are placed in a specified disk while the regularity causality and stability of the closed loop system can be guaranteed for all admissible uncertainties the desired controller can be obtained by solving a set of matrix inequalities a numerical example is given to demonstrate the application of the proposed method", "title_raw": "Robust H\u221e control for uncertain discrete singular systems with pole placement in a disk", "abstract_raw": "Abstract This paper addresses the design of robust H \u221e controllers for uncertain discrete singular systems with time-invariant uncertainty in both the state and measurement matrices. The singular system to be controlled is not assumed to be regular. A regular dynamic output feedback controller is designed such that a prescribed H \u221e performance condition is satisfied and the closed-loop poles are placed in a specified disk while the regularity, causality and stability of the closed-loop system can be guaranteed for all admissible uncertainties. The desired controller can be obtained by solving a set of matrix inequalities. A numerical example is given to demonstrate the application of the proposed method." }, { "paper": "2119076699", "venue": "70695507", "year": "2001", "title": "maximum principle for mixed constrained control problem", "label": [ "31010330", "33577790", "126255220" ], "author": [ "2683941334" ], "reference": [], "abstract": "", "title_raw": "Maximum principle for mixed constrained control problem", "abstract_raw": "" }, { "paper": "2106742077", "venue": "199944782", "year": "2001", "title": "projective alignment with regions", "label": [ "124504099", "113976600", "115961682", "61445026", "9376300" ], "author": [ "2110126986", "2276238216" ], "reference": [ "1558195771", "1560918921", "1590739438", "1845536648", "1966596372", "1970014225", "1989784484", "2022806724", "2089396017", "2109006086", "2109886076", "2128177539", "2134506002", "2143236448", "2149814923", "2158130976", "2159498975", "2510824196", "3017143921" ], "abstract": "we have previously proposed basri and jacobs 1999 and jacobs and basri 1999 an approach to recognition that uses regions to determine the pose of objects while allowing for partial occlusion of the regions regions introduce an attractive alternative to existing global and local approaches since unlike global features they can handle occlusion and segmentation errors and unlike local features they are not as sensitive to sensor errors and they are easier to match the region based approach also uses image information directly without the construction of intermediate representations such as algebraic descriptions which may be difficult to reliably compute we further analyze properties of the method for planar objects undergoing projective transformations in particular we prove that three visible regions are sufficient to determine the transformation uniquely and that for a large class of objects two regions are insufficient for this purpose however we show that when several regions are available the pose of the object can generally be recovered even when some or all regions are significantly occluded our analysis is based on investigating the flow patterns of points under projective transformations in the presence of fixed points", "title_raw": "Projective alignment with regions", "abstract_raw": "We have previously proposed (Basri and Jacobs, 1999, and Jacobs and Basri, 1999) an approach to recognition that uses regions to determine the pose of objects while allowing for partial occlusion of the regions. Regions introduce an attractive alternative to existing global and local approaches, since, unlike global features, they can handle occlusion and segmentation errors, and unlike local features they are not as sensitive to sensor errors, and they are easier to match. The region-based approach also uses image information directly, without the construction of intermediate representations, such as algebraic descriptions, which may be difficult to reliably compute. We further analyze properties of the method for planar objects undergoing projective transformations. In particular, we prove that three visible regions are sufficient to determine the transformation uniquely and that for a large class of objects, two regions are insufficient for this purpose. However, we show that when several regions are available, the pose of the object can generally be recovered even when some or all regions are significantly occluded. Our analysis is based on investigating the flow patterns of points under projective transformations in the presence of fixed points." }, { "paper": "1997876640", "venue": "73535193", "year": "2001", "title": "heterogeneous mathematical models in numerical analysis of structures", "label": [ "52890695", "3161131", "134306372", "48395688", "135628077", "63632240", "183212220", "198880260", "82047721" ], "author": [ "1967656163", "2668422948", "2486445726" ], "reference": [ "149771423", "761474888", "1492326914", "1532656300", "2493980134" ], "abstract": "abstract this paper presents a common approach to the numerical analysis of elasticity and heat conduction problems in computed structures it is based on a combination of the linear elasticity theory with timoshenko s shell theory for elasticity problems and of the classical heat conduction theory with a dimensionally reduced heat conduction model in thin bodies for heat conduction problems parts of the compound structure which are described by different theories are joined by special interface boundary conditions variational statements are formulated and their properties are investigated numerical solution of the posed problems is performed by either coupled direct boundary element and finite element methods or domain decomposition method the obtained results demonstrate the effectiveness of the proposed techniques", "title_raw": "Heterogeneous mathematical models in numerical analysis of structures", "abstract_raw": "Abstract This paper presents a common approach to the numerical analysis of elasticity and heat conduction problems in computed structures. It is based on a combination of the linear elasticity theory with Timoshenko's shell theory for elasticity problems, and of the classical heat conduction theory with a dimensionally reduced heat conduction model in thin bodies for heat conduction problems. Parts of the compound structure, which are described by different theories, are joined by special interface boundary conditions. Variational statements are formulated and their properties are investigated. Numerical solution of the posed problems is performed by either coupled direct boundary element and finite element methods or domain decomposition method. The obtained results demonstrate the effectiveness of the proposed techniques." }, { "paper": "1973871670", "venue": "158241587", "year": "2001", "title": "combinatorial identities for binary necklaces from exact ray splitting trace formulas", "label": [ "63036615", "1769372", "48372109", "125565743", "25830464" ], "author": [ "2216012828", "1985575831" ], "reference": [ "162886344", "1599335667", "1963923369", "1970136394", "1972288280", "1987787431", "1989016375", "1991333866", "1992035209", "1992531513", "2010013781", "2028396877", "2045692066", "2052846812", "2054924811", "2112792655", "2128247507", "2314650416", "2571005040", "2800778781" ], "abstract": "based on an exact trace formula for a one dimensional ray splitting system we derive novel combinatorial identities for cyclic binary sequences polya necklaces", "title_raw": "Combinatorial identities for binary necklaces from exact ray-splitting trace formulas", "abstract_raw": "Based on an exact trace formula for a one-dimensional ray-splitting system, we derive novel combinatorial identities for cyclic binary sequences (Polya necklaces)." }, { "paper": "2052892991", "venue": "70695507", "year": "2001", "title": "asymptotic expansion of the solution for nonlinear wave equation with the mixed homogeneous conditions", "label": [ "26955809", "205147927", "45137528", "134306372", "11683690", "59696629", "22219631" ], "author": [ "2621982711" ], "reference": [ "2039431161", "2337805856", "2784028815" ], "abstract": "", "title_raw": "Asymptotic expansion of the solution for nonlinear wave equation with the mixed homogeneous conditions", "abstract_raw": "" }, { "paper": "2024411771", "venue": "70695507", "year": "2001", "title": "nonlinear elliptic equations on nonsmooth domains", "label": [ "170023025", "107889373", "73749972", "134306372", "197875053", "201801670", "54067925", "158622935" ], "author": [ "2670209139" ], "reference": [], "abstract": "", "title_raw": "Nonlinear elliptic equations on nonsmooth domains", "abstract_raw": "" }, { "paper": "1992356485", "venue": "165512578", "year": "2001", "title": "a modified finite volume approximation of second order elliptic equations with discontinuous coefficients", "label": [ "134306372", "181330731", "205951836", "76752949", "182310444", "73000952", "121152540" ], "author": [ "2101653828", "2141597524", "238453761" ], "reference": [], "abstract": "a modified finite difference approximation for interface problems in rn n 1 2 3 is presented the essence of the modification falls in the simultaneous discretization of any two normal components of the flux at the opposite faces of the finite volume in this way the continuous normal component of the flux through an interface is approximated by finite differences with second order consistency the derived scheme has a minimal 2n 1 point stencil for problems in rn second order convergence with respect to the discrete h1 norm is proved for a class of interface problems second order pointwise convergence is observed in a series of numerical experiments with one dimensional 1 d two dimensional 2 d and three dimensional 3 d interface problems the numerical experiments presented demonstrate advantages of the new scheme compared with the known schemes which use arithmetic and harmonic averaging of the discontinuous diffusion coefficient", "title_raw": "A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients", "abstract_raw": "A modified finite difference approximation for interface problems in Rn, n=1,2,3, is presented. The essence of the modification falls in the simultaneous discretization of any two normal components of the flux at the opposite faces of the finite volume. In this way, the continuous normal component of the flux through an interface is approximated by finite differences with second-order consistency. The derived scheme has a minimal (2n+1)-point stencil for problems in Rn. Second-order convergence with respect to the discrete H1-norm is proved for a class of interface problems. Second-order pointwise convergence is observed in a series of numerical experiments with one-dimensional (1-D), two-dimensional (2-D), and three-dimensional (3-D) interface problems. The numerical experiments presented demonstrate advantages of the new scheme compared with the known schemes which use arithmetic and harmonic averaging of the discontinuous diffusion coefficient." }, { "paper": "1988479368", "venue": "151579836", "year": "2001", "title": "the stability of the linear transport equation in a nonmultiplying medium", "label": [ "134306372", "167964875", "36625806", "2777215656", "34388435", "134912446" ], "author": [ "2635384573" ], "reference": [ "1527296550", "1988616476", "1990903892", "2012604893", "2044061982", "2044221014", "2050022588", "2053741175", "2067762025", "2096799105", "2782785078", "3140172803" ], "abstract": "the stability of the linear transport equation is established when the host medium is nonmultiplying and occupies a bounded convex body under the assumption that the minimal value of the collision frequency or the minimal speed of the transport particles is larger than zero the exponential stability is proven when this condition is not valid the stability but nonexponential stability result is obtained", "title_raw": "The stability of the linear transport equation in a nonmultiplying medium", "abstract_raw": "The stability of the linear transport equation is established when the host medium is nonmultiplying and occupies a bounded convex body. Under the assumption that the minimal value of the collision frequency or the minimal speed of the transport particles is larger than zero, the exponential stability is proven. When this condition is not valid, the stability (but nonexponential stability) result is obtained." }, { "paper": "2073773741", "venue": "99182027", "year": "2001", "title": "the symptom observation matrix for monitoring and diagnostics", "label": [ "46823705", "65244806", "22789450", "109282560", "36299963", "137127113", "72434380" ], "author": [ "2644112640", "1520294649" ], "reference": [ "632681260", "1499506103", "1517705043", "1540055967", "1999242778", "2017511248", "2027311882", "2090580958", "2130739159", "2233545183", "2499675529", "2798909945" ], "abstract": "abstract monitoring of complex technical systems in operation service is a task concerning safety reliability and risk management additionally the monitoring and diagnosis of such systems is also recommended for the reduction of costs and to increase the life of systems under consideration the fundamental quantities for monitoring and diagnosis are symptoms contained in measured data of a time variant system symptoms are observable and sensitive with respect to faults or damage questions such as how to find symptoms how they should be evaluated for information condensation in order to detect and if possible to localize faults or damage are discussed and additionally the choice of the measuring matrix and the test forces are treated in the context of the state space formulation of time variant models for the purpose of information condensation and the evaluation of symptoms the symptom observation matrix is introduced and manipulated by the singular value decomposition the properties of the observation matrix with its singular values and singular vectors show their applicability for monitoring and diagnosis", "title_raw": "THE SYMPTOM OBSERVATION MATRIX FOR MONITORING AND DIAGNOSTICS", "abstract_raw": "Abstract Monitoring of complex technical systems in operation/service is a task concerning safety, reliability and risk management. Additionally, the monitoring and diagnosis of such systems is also recommended for the reduction of costs, and to increase the life of systems under consideration. The fundamental quantities for monitoring and diagnosis are symptoms contained in measured data of a time-variant system. Symptoms are observable and sensitive with respect to faults or damage. Questions such as how to find symptoms, how they should be evaluated for information condensation in order to detect, and if possible to localize, faults or damage, are discussed, and, additionally, the choice of the measuring matrix and the test forces are treated in the context of the state space formulation of time-variant models. For the purpose of information condensation and the evaluation of symptoms, the symptom observation matrix is introduced and manipulated by the singular value decomposition. The properties of the observation matrix with its singular values and singular vectors show their applicability for monitoring and diagnosis." }, { "paper": "2028037902", "venue": "73535193", "year": "2001", "title": "numerical study of an optimal control problem for a catalytic converter function", "label": [ "65244806", "58442840", "91575142", "126255220" ], "author": [ "2594985626", "2106188348", "2635931803" ], "reference": [ "133160414", "419552243", "594510519", "1538730498", "1555494686", "1593836756", "1661918802", "2013990058", "2022977680", "2079129518", "2143254081", "2898916015" ], "abstract": "abstract we introduce a model of a catalytic converter and we study mathematical properties of a control function and a cost function as an optimal control problem we give a finite difference scheme for solving various cost functions and discuss the results", "title_raw": "Numerical study of an optimal control problem for a catalytic converter function", "abstract_raw": "Abstract We introduce a model of a catalytic converter, and we study mathematical properties of a control function and a cost function as an optimal control problem. We give a finite-difference scheme for solving various cost functions and discuss the results." }, { "paper": "2090204204", "venue": "2898222998", "year": "2001", "title": "the finite images of finitely generated groups", "label": [ "66099644", "58249144", "136170076", "18116961", "20725272", "14669601", "114614502", "186746360", "2780811992" ], "author": [ "2150704220" ], "reference": [], "abstract": "", "title_raw": "The finite images of finitely generated groups", "abstract_raw": "" }, { "paper": "2053816158", "venue": "11296630", "year": "2001", "title": "surrogate analysis for detecting nonlinear dynamics in normal vowels", "label": [ "117220453", "138552256", "158622935", "12426560" ], "author": [ "2098553501", "2094478332", "2050783569" ], "reference": [ "181056519", "1210052338", "1496971974", "1549386224", "1584724822", "1967176723", "1972438889", "1973371633", "1973811941", "1975902753", "1983046704", "2005740351", "2007229973", "2009330023", "2014064104", "2020571390", "2022194925", "2025256444", "2027501869", "2027515110", "2031046124", "2031365860", "2032293106", "2032739374", "2035558410", "2038299421", "2040591554", "2043425200", "2044257293", "2045956849", "2046879791", "2048235682", "2050704955", "2051457717", "2056546268", "2065172130", "2065925624", "2069260131", "2071118926", "2077378630", "2081064366", "2084395651", "2090814521", "2097645910", "2098746383", "2126487144", "2129828248", "2136533320", "2148044000", "2151626637", "2169721396", "2345597643", "2727093892", "2754845037", "2990226435" ], "abstract": "normal vowels are known to have irregularities in the pitch to pitch variation which is quite important for speech signals to be perceived as natural human sound such pitch to pitch variation of vowels is studied in the light of nonlinear dynamics for the analysis five normal vowels recorded from three male and two female subjects are exploited where the vowel signals are shown to have normal levels of the pitch to pitch variation first by the false nearest neighbor analysis nonlinear dynamics of the vowels are shown to be well analyzed by using a relatively low dimensional reconstructing dimension of 4 d 7 then we further studied nonlinear dynamics of the vowels by spike and wave surrogate analysis the results imply that there exists nonlinear dynamical correlation between one pitch waveform pattern to another in the vowel signals on the basis of the analysis results applicability of the nonlinear prediction technique to vowel synthesis is discussed", "title_raw": "Surrogate analysis for detecting nonlinear dynamics in normal vowels.", "abstract_raw": "Normal vowels are known to have irregularities in the pitch-to-pitch variation which is quite important for speech signals to be perceived as natural human sound. Such pitch-to-pitch variation of vowels is studied in the light of nonlinear dynamics. For the analysis, five normal vowels recorded from three male and two female subjects are exploited, where the vowel signals are shown to have normal levels of the pitch-to-pitch variation. First, by the false nearest-neighbor analysis, nonlinear dynamics of the vowels are shown to be well analyzed by using a relatively low-dimensional reconstructing dimension of 4\u2a7dd\u2a7d7. Then, we further studied nonlinear dynamics of the vowels by spike-and-wave surrogate analysis. The results imply that there exists nonlinear dynamical correlation between one pitch-waveform pattern to another in the vowel signals. On the basis of the analysis results, applicability of the nonlinear prediction technique to vowel synthesis is discussed." }, { "paper": "2061846399", "venue": "105693234", "year": "2001", "title": "a non uniform berry esseen bound via stein s method", "label": [ "141513077", "28826006", "122123141", "2777169571", "114614502", "104928020", "198496030", "2776548862", "106195933", "175831756" ], "author": [ "2162363770", "2423971469" ], "reference": [ "33781785", "188712832", "1558717344", "1873595945", "1965083286", "1969727526", "1980591506", "1981257677", "2003988314", "2008543002", "2010245844", "2032897924", "2043405698", "2047586827", "2080246960", "2090657946", "2135244844", "2798655805" ], "abstract": "this paper is part of our efforts to develop stein s method beyond uniform bounds in normal approximation our main result is a proof for a non uniform berry esseen bound for independent and not necessarily identically distributed random variables without assuming the existence of third moments it is proved by combining truncation with stein s method and by taking the concentration inequality approach improved and adapted for non uniform bounds to illustrate the technique we give a proof for a uniform berry esseen bound without assuming the existence of third moments", "title_raw": "A non-uniform Berry\u2013Esseen bound via Stein's method", "abstract_raw": "This paper is part of our efforts to develop Stein's method beyond uniform bounds in normal approximation. Our main result is a proof for a non-uniform Berry\u2013Esseen bound for independent and not necessarily identically distributed random variables without assuming the existence of third moments. It is proved by combining truncation with Stein's method and by taking the concentration inequality approach, improved and adapted for non-uniform bounds. To illustrate the technique, we give a proof for a uniform Berry\u2013Esseen bound without assuming the existence of third moments." }, { "paper": "2102223767", "venue": "77200987", "year": "2001", "title": "traveling wave solutions for bistable differential difference equations with periodic diffusion", "label": [ "130979935", "2781349735", "97292510", "194271172", "158622935", "134306372", "17095337" ], "author": [ "2428252077", "2147730123" ], "reference": [ "186599579", "1483675707", "1556110830", "1589242138", "1969040498", "1969504525", "1971808848", "1982406325", "1993693726", "2003128769", "2018748339", "2019571852", "2028296976", "2039771983", "2040545012", "2047929780", "2056023300", "2069946517", "2071966541", "2072966107", "2073686912", "2073808354", "2075182728", "2090963365", "2101495277", "2109384700", "2612743911" ], "abstract": "we consider traveling wave solutions to spatially discrete reaction diffusion equations with nonlocal variable diffusion and bistable nonlinearities to find the traveling wave solutions we introduce an ansatz in which the wave speed depends on the underlying lattice as well as on time for the case of spatially periodic diffusion we obtain analytic solutions for the traveling wave problem using a piecewise linear nonlinearity the formula for the wave forms is implicitly defined in the general periodic case and we provide an explicit formula for the case of period two diffusion we present numerical studies for time t 0 fixed and for the time evolution of the traveling waves when t 0 we study the cases of homogeneous period two and period four diffusion coefficients using a cubic nonlinearity and uncover numerically a period doubling bifurcation in the wave speed versus detuning parameter relation for the time evolution case we also discover a detuning parameter dependent bifurcation in observed phenomena which is a product of both the nonlocal diffusion operator and the spinodal effects of the nonlinearity", "title_raw": "TRAVELING WAVE SOLUTIONS FOR BISTABLE DIFFERENTIAL-DIFFERENCE EQUATIONS WITH PERIODIC DIFFUSION \u2217", "abstract_raw": "We consider traveling wave solutions to spatially discrete reaction-diffusion equations with nonlocal variable diffusion and bistable nonlinearities. To find the traveling wave solutions we introduce an ansatz in which the wave speed depends on the underlying lattice as well as on time. For the case of spatially periodic diffusion we obtain analytic solutions for the traveling wave problem using a piecewise linear nonlinearity. The formula for the wave forms is implicitly defined in the general periodic case and we provide an explicit formula for the case of period two diffusion. We present numerical studies for time t = 0 fixed and for the time evolution of the traveling waves. When t = 0 we study the cases of homogeneous, period two, and period four diffusion coefficients using a cubic nonlinearity, and uncover, numerically, a period doubling bifurcation in the wave speed versus detuning parameter relation. For the time evolution case we also discover a detuning parameter dependent bifurcation in observed phenomena, which is a product of both the nonlocal diffusion operator and the spinodal effects of the nonlinearity." }, { "paper": "2031722973", "venue": "2898222998", "year": "2001", "title": "solubility of certain pencils of curves of genus 1 and of the intersection of two quadrics in p4", "label": [ "26064070", "20060776", "114614502" ], "author": [ "2484146261", "2709421396" ], "reference": [], "abstract": "", "title_raw": "Solubility of Certain Pencils of Curves of Genus 1, and of the Intersection of two Quadrics in P4", "abstract_raw": "" }, { "paper": "2055767749", "venue": "79244937", "year": "2001", "title": "a unified approach to infinitesimal loewner and geroch transformations and the ernst and einstein maxwell equations", "label": [ "142805521", "146846114", "91229774", "113976600", "42058472", "37914503", "147452769", "59282198", "134306372" ], "author": [ "2119099832" ], "reference": [ "306121895", "595846807", "1486635010", "1963631947", "1968310796", "1974025099", "1984137295", "1984407488", "1984673041", "1987320791", "1992498580", "1993371162", "1993405684", "2000116411", "2010118037", "2010255817", "2015900328", "2028386068", "2028921503", "2034880057", "2039757417", "2040203580", "2047686590", "2059049552", "2074088253", "2079605711", "2084735234", "2092400014", "2094907794", "2104841587", "2137776829", "2141530813" ], "abstract": "it is demonstrated that the dual ernst equation of general relativity constitutes a stationary loewner system in an analogous manner it is shown that the einstein maxwell equations for stationary axisymmetric space times and their extension to einstein s equations coupled with an arbitrary number of u 1 gauge fields may be interpreted as generalized loewner systems moreover it is recorded that the base geroch transformation for the dual ernst equation may be located in a class of infinitesimal backlund transformations introduced by loewner in 1952 a geroch type transformation for a generic class of 2 1 dimensional loewner systems is set down and it is shown how the base geroch and hoenselaers kinnersley xanthopoulos transformations are naturally retrieved", "title_raw": "A unified approach to infinitesimal Loewner and Geroch transformations and the Ernst and Einstein-Maxwell equations", "abstract_raw": "It is demonstrated that the dual Ernst equation of general relativity constitutes a stationary Loewner system. In an analogous manner, it is shown that the Einstein-Maxwell equations for stationary axisymmetric space-times and their extension to Einstein's equations coupled with an arbitrary number of U(1) gauge fields may be interpreted as generalized Loewner systems. Moreover, it is recorded that the base Geroch transformation for the (dual) Ernst equation may be located in a class of infinitesimal Backlund transformations introduced by Loewner in 1952. A Geroch-type transformation for a generic class of 2+1-dimensional Loewner systems is set down and it is shown how the base Geroch and Hoenselaers-Kinnersley-Xanthopoulos transformations are naturally retrieved." }, { "paper": "2158287853", "venue": "35412551", "year": "2001", "title": "dynamics of supercooled water in configuration space", "label": [ "195065555", "90738871" ], "author": [ "1956247838", "1387271665", "2126413431", "2135798086", "56395227" ], "reference": [ "2053289371" ], "abstract": "we study the potential energy surface pes sampled by a liquid modeled via the widely studied extended simple point charge spc e model for water we characterize the curvature of the pes by calculating the instantaneous normal mode inm spectrum for a wide range of densities and temperatures we discuss the information contained in the inm density of states which requires additional processing to be unambiguously associated with the long time dynamics for the spc e model we find that the slowing down of the dynamics in the supercooled region where the ideal mode coupling theory has been used to describe the dynamics is controlled by the reduction in the number of directions in configuration space that allow a structural change we find that the fraction f dw of the double well directions in configuration space determines the value of the diffusion constant d thereby relating a property of the pes to a macroscopic dynamic quantity specifically it appears that ad is approximately linear in f dw our findings are consistent with the hypothesis that at the mode coupling crossover temperature dynamical processes based on the free exploration of configuration space vanish and processes requiring activation dominate hence the reduction of the number of directions allowing free exploration of configuration space is the mechanism of diffusion implicitly implemented in the ideal mode coupling theory additionally we find a direct relationship between the number of basins sampled by the system and the number of free directions in this picture diffusion appears to be related to geometrical properties of the pes and to be entropic in origin", "title_raw": "Dynamics of supercooled water in configuration space.", "abstract_raw": "We study the potential energy surface ~PES! sampled by a liquid modeled via the widely studied extended simple point charge ~SPC/E! model for water. We characterize the curvature of the PES by calculating the instantaneous normal mode ~INM! spectrum for a wide range of densities and temperatures. We discuss the information contained in the INM density of states, which requires additional processing to be unambiguously associated with the long-time dynamics. For the SPC/E model, we find that the slowing down of the dynamics in the supercooled region\u2014where the ideal mode coupling theory has been used to describe the dynamics\u2014is controlled by the reduction in the number of directions in configuration space that allow a structural change. We find that the fraction f dw of the double-well directions in configuration space determines the value of the diffusion constant D, thereby relating a property of the PES to a macroscopic dynamic quantity; specifically, it appears that AD is approximately linear in f dw . Our findings are consistent with the hypothesis that, at the mode coupling crossover temperature, dynamical processes based on the free exploration of configuration space vanish, and processes requiring activation dominate. Hence, the reduction of the number of directions allowing free exploration of configuration space is the mechanism of diffusion implicitly implemented in the ideal mode coupling theory. Additionally, we find a direct relationship between the number of basins sampled by the system and the number of free directions. In this picture, diffusion appears to be related to geometrical properties of the PES, and to be entropic in origin." }, { "paper": "1974316128", "venue": "171170845", "year": "2001", "title": "1 skeleta betti numbers and equivariant cohomology", "label": [ "130430149", "168619227", "129621563", "23259944", "72738302", "114614502", "125565743", "33676613", "2779185822", "176954179" ], "author": [ "2486590252", "2397304911" ], "reference": [ "178893740", "187657489", "1494310862", "1502163132", "1522101460", "1535294931", "1558796308", "1565192513", "1831170218", "1916322878", "1967308363", "1976254501", "1991845702", "1993550436", "1999529321", "2007043046", "2024806284", "2043626917", "2048836344", "2050184358", "2088536807", "2108208155", "2124473138", "2138033161", "2152822709", "2335592305", "3006759246", "3038842571", "3109244789" ], "abstract": "", "title_raw": "1-skeleta, Betti numbers, and equivariant cohomology", "abstract_raw": "" }, { "paper": "2162356202", "venue": "106174089", "year": "2001", "title": "on a new insight into the reciprocity principle borge arntsen and jose m carcione geophysics 65 1604 1612", "label": [ "164680029", "33577790", "145291105" ], "author": [ "2311871176" ], "reference": [ "150296703", "2169825317" ], "abstract": "reciprocity is an important property of elastodynamic electromagnetic and acoustic wavefields combined with optimization techniques reciprocity theorems can be regarded as providing the basic ingredients to imaging and inversion methods in geophysical exploration and remote sensing de hoop m v and de hoop a t 2000 furthermore reciprocity serves as the basis for the elimination procedures of surface related multiples in marine seismic data processing fokkema and van den berg 1993 in view of all this a thorough and elucidating discussion on the configurations to and the conditions under which reciprocity applies and what reciprocity leads to like the recent paper by arnsten and carcione 2000 serves a useful purpose in this paper also a number of interesting applications are worked out in detail the aim of this discussion is to indicate briefly how some of the results obtained in that paper are related to the ones that the present author has presented in de hoop 1995 a referenc", "title_raw": "On: \u201cA new insight into the reciprocity principle\u201d (B\u00f8rge Arntsen and Jos\u00e9 M. Carcione, GEOPHYSICS, 65, 1604\u20131612).", "abstract_raw": "Reciprocity is an important property of elastodynamic, electromagnetic, and acoustic wavefields. Combined with optimization techniques, reciprocity theorems can be regarded as providing the basic ingredients to imaging and inversion methods in geophysical exploration and remote sensing (de Hoop, M. V. and de Hoop, A. T., 2000). Furthermore, reciprocity serves as the basis for the elimination procedures of surface\u2010related multiples in marine seismic data processing (Fokkema and van den Berg, 1993). In view of all this, a thorough and elucidating discussion on the configurations to and the conditions under which reciprocity applies, and what reciprocity leads to, like the recent paper by Arnsten and Carcione (2000), serves a useful purpose. In this paper, also a number of interesting applications are worked out in detail. The aim of this discussion is to indicate briefly how some of the results obtained in that paper are related to the ones that the present author has presented in de Hoop (1995), a referenc..." }, { "paper": "2017036085", "venue": "134818455", "year": "2001", "title": "short time asymptotics in dirichlet spaces", "label": [ "2778114796", "169214877", "202444582", "177148314", "33577790", "207405024" ], "author": [ "2104119568" ], "reference": [ "246953086", "1496526657", "1506949526", "1520461790", "1569145573", "2006484586", "2031425322", "2047002000", "2050515623", "2061872247", "2067523861", "2086630837", "2099068061", "2138195042", "2164094632", "2502117661", "2608413375", "2608698055" ], "abstract": "this work is involved with the short time asymptotics of the heat semigroup in a general setting a generalization of fang s version of varadhan s formula is proved a spectral gap or the possibility of obtaining one by an appropriate change of measure is required 2001 john wiley sons inc", "title_raw": "Short-time asymptotics in Dirichlet spaces", "abstract_raw": "This work is involved with the short-time asymptotics of the heat semigroup in a general setting. A generalization of Fang's version of Varadhan's formula is proved. A spectral gap or the possibility of obtaining one by an appropriate change of measure is required. \u00a9 2001 John Wiley & Sons, Inc." }, { "paper": "2035575980", "venue": "40006715", "year": "2001", "title": "wavelets in hybrid mixed stress elements", "label": [ "28826006", "145291105", "182310444", "11413529", "135628077", "48753275", "159674985" ], "author": [ "2113630860", "2148469406" ], "reference": [ "79818319", "1484523725", "1489213177", "1494122956", "1561839199", "1606846851", "1972883869", "1986830331", "1998275311", "2015219711", "2021589053", "2034117142", "2041752335", "2059273319", "2063675347", "2087052022", "2094585768", "2098914003", "2132984323", "2135187468", "2333786694", "2467915527", "2591181672", "3132971798" ], "abstract": "the objective of this paper is to present the application of wavelets in the implementation of the stress model of the hybrid mixed finite element formulation independent wavelet bases are used to approximate the stresses in the domain and the displacements both in the domain and on the boundary of elastostatic finite elements except for the kinematic boundary conditions which are enforced directly all the remaining equations of elastostatics are enforced in a weighted residual form so designed as to ensure that the discrete model embodies the relevant properties of the continuum fields they represent namely static kinematic duality and elastic reciprocity numerical examples are used to illustrate the characteristics of the numerical model being presented and to assess its accuracy and efficiency", "title_raw": "Wavelets in hybrid-mixed stress elements", "abstract_raw": "The objective of this paper is to present the application of wavelets in the implementation of the stress model of the hybrid-mixed finite element formulation. Independent wavelet bases are used to approximate the stresses in the domain and the displacements both in the domain and on the boundary of elastostatic finite elements. Except for the kinematic boundary conditions, which are enforced directly, all the remaining equations of elastostatics are enforced in a weighted residual form so designed as to ensure that the discrete model embodies the relevant properties of the continuum fields they represent, namely static-kinematic duality and elastic reciprocity. Numerical examples are used to illustrate the characteristics of the numerical model being presented and to assess its accuracy and efficiency." }, { "paper": "1816872261", "venue": "60030702", "year": "2001", "title": "bi lipschitz homogeneous curves in \u211d are quasicircles", "label": [ "194198291", "134306372", "22324862" ], "author": [ "2096106756" ], "reference": [ "1488877410", "1547306822", "1870318137", "1971225516", "1988267663", "1995881889", "2032925799", "2039595608", "2042230796", "2054801921", "2080663631", "2090456021", "2329964106", "2331090361" ], "abstract": "", "title_raw": "Bi-Lipschitz homogeneous curves in \u211d\u00b2 are quasicircles", "abstract_raw": "" }, { "paper": "2069537753", "venue": "70695507", "year": "2001", "title": "applications of morse theory to the solution of semilinear problems depending on c 1 functionals", "label": [ "28826006", "156730297", "134306372" ], "author": [ "2645213674", "2322565638" ], "reference": [ "124922545", "383443468", "1007208389", "1147381877", "1575983931", "1986348155", "2023359645", "2058270372", "2087251874", "2462913260", "3146812583" ], "abstract": "", "title_raw": "Applications of Morse theory to the solution of semilinear problems depending on C 1 functionals", "abstract_raw": "" }, { "paper": "2013533670", "venue": "8265502", "year": "2001", "title": "on the first order rao scott correction of the umesh loughin scherer statistic", "label": [ "169857963", "66924754", "118615104", "105795698", "89128539", "32809988", "91998498", "49209780", "162511642", "141286372" ], "author": [ "2112254183", "2252307729" ], "reference": [ "1976655614", "2035602559", "2050652064", "2086111854", "2109067205", "2130466397", "2215558829", "2327623561" ], "abstract": "summary decady and thomas 2000 biometrics56 893 896 propose a first order corrected umesh loughin scherer statistic to test for association in an r c contingency table with multiple column responses agresti and liu 1999 biometrics55 936 943 point out that such statistics are not invariant to the arbitrary designation of a zero or one to a positive response this paper shows that in addition the proposed testing procedure does not hold the correct size when there are strong pairwise associations between responses", "title_raw": "On the first-order Rao-Scott correction of the Umesh-Loughin-Scherer statistic.", "abstract_raw": "Summary. Decady and Thomas (2000, Biometrics56, 893\u2013896) propose a first-order corrected Umesh-Loughin-Scherer statistic to test for association in an r\u00d7c contingency table with multiple column responses. Agresti and Liu (1999, Biometrics55, 936\u2013943) point out that such statistics are not invariant to the arbitrary designation of a zero or one to a positive response. This paper shows that, in addition, the proposed testing procedure does not hold the correct size when there are strong pairwise associations between responses." }, { "paper": "1985773302", "venue": "11296630", "year": "2001", "title": "optimum reverberation time for speech intelligibility in classrooms", "label": [ "28826006" ], "author": [ "1980442565", "2142992834" ], "reference": [], "abstract": "this work addresses the topical question of the optimum reverberation time rt for speech intelligibility in classrooms existing literature is reviewed and is found to be inconsistent experimental methods generally predict zero optimum rt while theoretical methods predict nonzero values these differences are discussed they appear to stem from different treatments of the background noise assuming diffuse field theory a theoretical model to predict optimum rt was developed from a previously proposed model s r bistafa and j s bradley j acoust soc am 107 861 875 2000 it incorporates noise in a physically realistic way and predicts nonzero optimum rts subsequently to reduce reliance on diffuse field theory the model was modified using empirical methods to predict speech level and reverberation times in classrooms m r hodgson j build acoust in press 2001 again nonzero optimum rts were predicted the prediction models and results are presented practical conclusions are drawn and suggestions for further work are made", "title_raw": "Optimum reverberation time for speech intelligibility in classrooms", "abstract_raw": "This work addresses the topical question of the optimum reverberation time (RT) for speech intelligibility in classrooms. Existing literature is reviewed and is found to be inconsistent. Experimental methods generally predict zero optimum RT, while theoretical methods predict nonzero values. These differences are discussed; they appear to stem from different treatments of the background noise. Assuming diffuse\u2010field theory, a theoretical model to predict optimum RT was developed from a previously proposed model [S. R. Bistafa and J. S. Bradley, J. Acoust. Soc. Am. 107, 861\u2013875 (2000)]. It incorporates noise in a physically realistic way and predicts nonzero optimum RTs. Subsequently, to reduce reliance on diffuse\u2010field theory, the model was modified using empirical methods to predict speech level and reverberation times in classrooms [M. R. Hodgson, J. Build. Acoust. (in press, 2001)]. Again, nonzero optimum RTs were predicted. The prediction models and results are presented, practical conclusions are drawn, and suggestions for further work are made." }, { "paper": "1538809264", "venue": "60030702", "year": "2001", "title": "extremal problems for quasiconformal maps of punctured plane domains", "label": [ "142885752", "18556879", "157157409", "125565743", "107264478", "202444582", "91066650", "179117685", "190333341", "20050597" ], "author": [ "1990758051" ], "reference": [ "130807231", "150106562", "272988879", "658266689", "1514537983", "1956351353", "1985036331", "1985570201", "2015388885", "2035842448", "2037612300", "2039945896", "2047087696", "2059615842", "2065917958", "2087708997", "2164770041", "2317578892", "3043060850", "3190906677" ], "abstract": "the main goal of this paper is to give an affirmative answer to the long standing conjecture which asserts that the affine map is a uniquely extremal quasiconformal map in the teichmuller space of the complex plane punctured at the integer lattice points in addition we derive a corollary related to the geometry of the corresponding teichmuller space besides that we consider the classical dual extremal problem which naturally arises in the tangent space of the teichmuller space in particular we prove the uniqueness of hahn banach extension of the associated linear functional given on the bergman space of the integer lattice domain several useful estimates related to the local and global properties of integrable meromorphic functions and the delta functional see the definition below are also obtained these estimates are intended to study the behavior of integrable functions near singularities and they are valid in general settings", "title_raw": "Extremal Problems for Quasiconformal Maps of Punctured Plane Domains", "abstract_raw": "The main goal of this paper is to give an affirmative answer to the long-standing conjecture which asserts that the affine map is a uniquely extremal quasiconformal map in the Teichmuller space of the complex plane punctured at the integer lattice points. In addition we derive a corollary related to the geometry of the corresponding Teichmuller space. Besides that we consider the classical dual extremal problem which naturally arises in the tangent space of the Teichmuller space. In particular we prove the uniqueness of Hahn-Banach extension of the associated linear functional given on the Bergman space of the integer lattice domain. Several useful estimates related to the local and global properties of integrable meromorphic functions and the delta functional (see the definition below) are also obtained. These estimates\r\nare intended to study the behavior of integrable functions near singularities and they are valid in general settings." }, { "paper": "2075930704", "venue": "79244937", "year": "2001", "title": "equivalence of tba and qtm", "label": [ "134306372", "143591791", "27016315", "176935170", "77843276", "58442840" ], "author": [ "2526978706", "2104182507", "2789394036" ], "reference": [ "1540523483", "1980196873", "2003666747", "2007745440", "2024537791", "2026812935", "2047523273", "2056544253", "2057190456", "2060280176", "2062122342", "2066624047", "2095555117", "2151091453", "2171364901", "2914926972", "3104150249", "3104968253" ], "abstract": "the traditional thermodynamic bethe ansatz equations for the xxz model at 1 are derived within the quantum transfer matrix method this provides further evidence of the equivalence of both methods most importantly we derive an integral equation for the free energy formulated for just one unknown function this integral equation differs in physical and mathematical aspects to the established ones the single integral equation is analytically continued to the regime 1", "title_raw": "Equivalence of TBA and QTM", "abstract_raw": "The traditional thermodynamic Bethe ansatz equations for the XXZ model at |\u0394|\u22651 are derived within the quantum transfer matrix method. This provides further evidence of the equivalence of both methods. Most importantly, we derive an integral equation for the free energy formulated for just one unknown function. This integral equation differs in physical and mathematical aspects to the established ones. The single integral equation is analytically continued to the regime |\u0394|<1." }, { "paper": "2003463091", "venue": "184147796", "year": "2001", "title": "on heights and grades of determinantal ideals", "label": [ "202444582" ], "author": [ "2118154379", "1979588907" ], "reference": [ "2028213871", "2037817066", "2044562147", "2063191164", "2171896529", "2228951873" ], "abstract": "", "title_raw": "On Heights and Grades of Determinantal Ideals", "abstract_raw": "" }, { "paper": "3121542497", "venue": "127742747", "year": "2001", "title": "identification estimation and testing of conditionally heteroskedastic factor models", "label": [ "43555835", "167928553", "10879293", "89106044", "164172150", "149782125", "101104100", "21430997" ], "author": [ "2777940759", "2562816869" ], "reference": [ "1748168094", "1844167872", "1845433902", "1995864121", "2002815471", "2005613936", "2036601475", "2046076301", "2046739579", "2049776418", "2053933740", "2054477007", "2083771855", "2092360275", "2119381914", "2147546894", "2154419934", "3121269143", "3121413903", "3122071020", "3122296838", "3125110852" ], "abstract": "we investigate the effects of dynamic heteroskedasticity on statistical factor analysis we show that identification problems are alleviated when variation in factor variances is accounted for our results apply to dynamic apt models and other structural models we also find that traditional ml estimation of unconditional variance parameters remains consistent if the factor loadings are identified from the unconditional distribution but their standard errors must be robustified we develop a simple preliminary lm test for arch effects in the common factors and discuss two step consistent estimation of the conditional variance parameters finally we conduct a detailed simulation exercise", "title_raw": "IDENTIFICATION, ESTIMATION AND TESTING OF CONDITIONALLY HETEROSKEDASTIC FACTOR MODELS", "abstract_raw": "We investigate the effects of dynamic heteroskedasticity on statistical factor analysis. We show that identification problems are alleviated when variation in factor variances is accounted for. Our results apply to dynamic APT models and other structural models. We also find that traditional ML estimation of unconditional variance parameters remains consistent if the factor loadings are identified from the unconditional distribution, but their standard errors must be robustified. We develop a simple preliminary LM test for ARCH effects in the common factors, and discuss two-step consistent estimation of the conditional variance parameters. Finally, we conduct a detailed simulation exercise." }, { "paper": "2159240083", "venue": "130224168", "year": "2001", "title": "annihilation theorem and separation theorem for basic classical lie superalgebras", "label": [ "5106717", "202444582", "78804095", "144091092", "51568863", "73648015", "22365015", "58910974", "203946495" ], "author": [ "2468941323" ], "reference": [ "9385623", "260559161", "1485278981", "1559850722", "1608855903", "1969896886", "1976061039", "1980552877", "1982565394", "1988973487", "2006514948", "2023452233", "2051885420", "2057600622", "2058374518", "2065113440", "2070603036", "2072381216", "2084164788", "2092771142", "2155702794", "2951038379", "2963405019", "3021259459" ], "abstract": "", "title_raw": "Annihilation Theorem and Separation Theorem for basic classical Lie superalgebras", "abstract_raw": "" }, { "paper": "1976228644", "venue": "85738991", "year": "2001", "title": "comments on exact solutions of electromagnetic fields in both near and far zones radiated by thin circular loop antennas a general representation with reply", "label": [ "520416788", "107706756", "2779322035", "121152540", "134306372", "207864730", "128803854", "47615080" ], "author": [ "2973639112", "2973251943", "2921850023", "2296387386", "2109710554", "2921712687", "2717025129", "2009889441" ], "reference": [ "1529903676", "1543362394", "1573297464", "1612865882", "1647572132", "2014736850", "2023478721", "2023917677", "2042573200", "2048319977", "2065350185", "2074518966", "2079256343", "2098398808", "2103886163", "2114074783", "2116629355", "2124264358", "2142169717", "2146729656", "2151054165", "2157005274", "2329119960", "2329218022", "2331398028", "2334615410", "2591340843", "3112961938", "3119264854", "3147054964" ], "abstract": "this paper presents an alternative vector analysis of the electromagnetic em fields radiated from thin circular loop antennas of arbitrary radius a this method which employs the dyadic green s function in the derivation of the em radiated fields makes the analysis more general compact and straightforward than those two methods published recently by werner 1996 and overfelt 1996 both near and far zones are considered so that the em radiated fields are expressed in terms of the vector wave eigenfunctions not only the exact solution of the em fields in the near and far zones outside the region where r a is derived by the use of the spherical hankel function of the first kind but also the closed series form of the em fields radiated in the near zone inside the region 0 spl les r a is obtained in series of the spherical bessel functions of the first kind as an example a fourier cosine series is used to expand an arbitrary current distribution along the loop and the exact representations of the em radiated fields due to the loop everywhere are obtained in closed form the closed form reduces to those for the sinusoidal current loop and further for the uniform current loop validity of the approximate formulas is discussed and clarified error analysis based on numerical computations of the radiated fields is also given to show the accuracy of the limiting cases", "title_raw": "Comments on \"Exact solutions of electromagnetic fields in both near and far zones radiated by thin circular-loop antennas: a general representation\" [with reply]", "abstract_raw": "This paper presents an alternative vector analysis of the electromagnetic (EM) fields radiated from thin circular-loop antennas of arbitrary radius a. This method, which employs the dyadic Green's function in the derivation of the EM radiated fields, makes the analysis more general, compact, and straightforward than those two methods published recently by Werner (1996) and Overfelt (1996). Both near and far zones are considered so that the EM radiated fields are expressed in terms of the vector-wave eigenfunctions. Not only the exact solution of the EM fields in the near and far zones outside the region (where r>a) is derived by the use of the spherical Hankel function of the first kind, but also the closed-series form of the EM fields radiated in the near zone inside the region 0/spl les/r 0, qn > 0, f, and \u03c6 are continuous real valued functions, and uf(u) > 0 for u \u2260 0. They give oscillation results for equation (E). Examples are included to illustrate the results." }, { "paper": "2004173414", "venue": "169411308", "year": "2001", "title": "nested design of fuzzy controllers with partial fuzzy rule base", "label": [ "148671577", "29470771", "127385683", "166586474", "17350324", "2780049643", "126255220" ], "author": [ "2087558305", "2425195106" ], "reference": [ "82072587", "1485567977", "2034428418", "2062706881", "2104805284", "2126474289", "2149162093", "2160350629", "2912565176" ], "abstract": "abstract in this paper a systematic nested design approach with a partial fuzzy if then rule base is proposed to reduce the complexity of the fuzzy controllers in the design procedure the fuzzy controller is first constructed with a basic fuzzy rule base when the fuzzy rule base is not sufficient to provide the performance that meets the requirement of the fuzzy control system the fuzzy rule base contains some unsatisfactory fuzzy rules and needs to be adjusted after the unsatisfactory fuzzy rules are identified the fuzzy region controlled by each unsatisfactory fuzzy rule is further partitioned into sub regions based on the nested design procedure the partial fuzzy rule base of the fuzzy controller is modified by replacing each unsatisfactory fuzzy rule with new fuzzy rules for the corresponding sub regions each fuzzy region of the input space can be partitioned independently into fuzzy sub regions to avoid generating the redundant rules the parameters in the fuzzy mechanism are tuned by minimizing a cost function simulations are carried out to show the effectiveness of the fuzzy controllers with nested fuzzy if then rules", "title_raw": "Nested design of fuzzy controllers with partial fuzzy rule base", "abstract_raw": "Abstract In this paper, a systematic nested design approach with a partial fuzzy if\u2013then rule base is proposed to reduce the complexity of the fuzzy controllers. In the design procedure, the fuzzy controller is first constructed with a basic fuzzy rule base. When the fuzzy rule base is not sufficient to provide the performance that meets the requirement of the fuzzy control system, the fuzzy rule base contains some unsatisfactory fuzzy rules and needs to be adjusted. After the unsatisfactory fuzzy rules are identified, the fuzzy region controlled by each unsatisfactory fuzzy rule is further partitioned into sub-regions. Based on the nested design procedure, the partial fuzzy rule base of the fuzzy controller is modified by replacing each unsatisfactory fuzzy rule with new fuzzy rules for the corresponding sub-regions. Each fuzzy region of the input space can be partitioned independently into fuzzy sub-regions to avoid generating the redundant rules. The parameters in the fuzzy mechanism are tuned by minimizing a cost function. Simulations are carried out to show the effectiveness of the fuzzy controllers with nested fuzzy if\u2013then rules." }, { "paper": "2030200670", "venue": "51360982", "year": "2001", "title": "brief robust maximum likelihood estimation in the linear model", "label": [ "89106044", "126255220", "185429906", "167928553", "163175372", "191462741", "180877172", "137836250", "4199805" ], "author": [ "338732515", "2221004268" ], "reference": [ "1575236038", "1603277681", "1910425815", "1965324089", "1970519439", "2015517273", "2030255580", "2046696187", "2047066533", "2048679451", "2056840695", "2084575717", "2099839128", "2104101607", "2123173024", "2149846618", "2153175042", "2162854795", "2174883827", "2495457432", "2606899919", "3195133498" ], "abstract": "this paper addresses the problem of maximum likelihood parameter estimation in linear models affected by gaussian noise whose mean and covariance matrix are uncertain the proposed estimate maximizes a lower bound on the worst case with respect to the uncertainty likelihood of the measured sample and is computed solving a semidefinite optimization problem sdp the problem of linear robust estimation is also studied in the paper and the statistical and optimality properties of the resulting linear estimator are discussed", "title_raw": "Brief Robust maximum likelihood estimation in the linear model", "abstract_raw": "This paper addresses the problem of maximum likelihood parameter estimation in linear models affected by Gaussian noise, whose mean and covariance matrix are uncertain. The proposed estimate maximizes a lower bound on the worst-case (with respect to the uncertainty) likelihood of the measured sample, and is computed solving a semidefinite optimization problem (SDP). The problem of linear robust estimation is also studied in the paper, and the statistical and optimality properties of the resulting linear estimator are discussed." }, { "paper": "2118255604", "venue": "56603566", "year": "2001", "title": "stabilization of positive linear systems", "label": [ "28826006", "2780016784", "6802819", "158693339", "92757383", "2778533034", "94766913", "2778299942", "2778958248", "65244806" ], "author": [ "1939432626", "73727261" ], "reference": [ "624020015", "1484739396", "1989224156", "2050691304", "2063973166", "2077483340", "2094014274", "2128978199", "2160019513" ], "abstract": "we consider stabilization of equilibrium points of positive linear systems which are in the interior of the first orthant the existence of an interior equilibrium point implies that the system matrix does not possess eigenvalues in the open right half plane this allows to transform the problem to the stabilization problem of compartmental systems which is known and for which a solution has been proposed already we provide necessary and sufficient conditions to solve the stabilization problem by means of affine state feedback a class of stabilizing feedbacks is given explicitly", "title_raw": "Stabilization of positive linear systems", "abstract_raw": "We consider stabilization of equilibrium points of positive linear systems which are in the interior of the first orthant. The existence of an interior equilibrium point implies that the system matrix does not possess eigenvalues in the open right half plane. This allows to transform the problem to the stabilization problem of compartmental systems, which is known and for which a solution has been proposed already. We provide necessary and sufficient conditions to solve the stabilization problem by means of affine state feedback. A class of stabilizing feedbacks is given explicitly." }, { "paper": "2162836710", "venue": "169411308", "year": "2001", "title": "on henstock integral of fuzzy number valued functions i", "label": [ "118299288", "125565743", "118615104", "10927425" ], "author": [ "2143489388", "2652576755" ], "reference": [ "1541466175", "1602233859", "1870109998", "1965955764", "1978734360", "1994152317", "1994178762", "2014342173", "2040002591", "2046349292", "2047362018", "2063234358", "2477431916", "2603117602", "3140186980" ], "abstract": "abstract in this paper we define and discuss the fh integral for fuzzy number valued functions using a concrete structure into which we embed the fuzzy number space e 1 several necessary and sufficient conditions of integrability for fuzzy number valued functions are given by means of abstract function theory", "title_raw": "On henstock integral of fuzzy-number-valued functions (I)", "abstract_raw": "Abstract In this paper, we define and discuss the (FH) integral for fuzzy-number-valued functions. Using a concrete structure into which we embed the fuzzy number space E 1 , several necessary and sufficient conditions of integrability for fuzzy-number-valued functions are given by means of abstract function theory." }, { "paper": "2325140897", "venue": "62223294", "year": "2001", "title": "les representations l adiques associees aux courbes elliptiques sur qp", "label": [ "202444582" ], "author": [ "2101870186" ], "reference": [], "abstract": "", "title_raw": "Les repr\u00e9sentations l-adiques associ\u00e9es aux courbes elliptiques sur Qp", "abstract_raw": "" }, { "paper": "2002206638", "venue": "169411308", "year": "2001", "title": "formal methods for fuzzy modeling and control", "label": [ "195975749", "29470771", "144170203", "127385683", "148671577" ], "author": [ "2138016299", "2151486370" ], "reference": [], "abstract": "", "title_raw": "Formal Methods for Fuzzy Modeling and Control", "abstract_raw": "" }, { "paper": "2057388413", "venue": "102439543", "year": "2001", "title": "explicit upper bounds for exponential sums over primes", "label": [ "169654258", "113429393", "77553402", "118615104", "33577790", "151376022", "53638454" ], "author": [ "2499313405", "732596658" ], "reference": [ "146905023", "626759026", "1480319329", "1512503533", "1559963206", "1588241823", "2050744533", "2070660420", "2079876547", "2366071399", "2506039256", "2617116203", "2986262373" ], "abstract": "", "title_raw": "Explicit upper bounds for exponential sums over primes", "abstract_raw": "" }, { "paper": "2102345558", "venue": "168680287", "year": "2001", "title": "closed form correlative coding cfc sub 2 blind identification of mimo channels isometry fitting to second order statistics", "label": [ "44082924", "122770356", "11413529", "167928553", "185429906", "198386975", "65244806", "207987634" ], "author": [ "2162350742", "1274254649", "2101613840" ], "reference": [ "1585560709", "1981745143", "2086742230", "2095876877", "2096710051", "2101893936", "2105186495", "2105742603", "2111510263", "2114120879", "2115723730", "2121202969", "2123307942", "2124757684", "2125263552", "2125931423", "2131086249", "2137358528", "2142638745", "2143679165", "2143956567", "2145243777", "2152983810", "2159401701", "2170393575" ], "abstract": "we present a blind closed form consistent channel estimator for multiple input multiple output mimo systems that uses only second order statistics we spectrally modulate the output of each source by correlative coding it with a distinct filter the correlative filters are designed to meet the following desirable characteristics no additional power or bandwidth is required no synchronization between the sources is needed the original data rate is maintained we first prove an identifiability theorem under a simple spectral condition on the transmitted random processes the mimo channel is uniquely determined up to a phase offset per user from the second order statistics of the received data we then develop the closed form algorithm that attains this identifiability bound we show that minimum phase finite impulse response filters with arbitrary memory satisfy our sufficient spectral identifiability condition this results in a computationally attractive scheme for retrieving the data information sequences after the mimo channel has been identified we assess the performance of the proposed algorithms by computer simulations in particular the results show that our technique outperforms the previously introduced transmitter induced conjugate cyclostationarity approach when there are carrier frequency misadjustments", "title_raw": "Closed-form correlative coding (CFC/sub 2/) blind identification of MIMO channels: isometry fitting to second order statistics", "abstract_raw": "We present a blind closed-form consistent channel estimator for multiple-input multiple-output (MIMO) systems that uses only second order statistics. We spectrally modulate the output of each source by correlative coding it with a distinct filter. The correlative filters are designed to meet the following desirable characteristics: no additional power or bandwidth is required; no synchronization between the sources is needed; the original data rate is maintained. We first prove an identifiability theorem: under a simple spectral condition on the transmitted random processes, the MIMO channel is uniquely determined, up to a phase offset per user, from the second order statistics of the received data. We then develop the closed-form algorithm that attains this identifiability bound. We show that minimum-phase finite impulse response filters with arbitrary memory satisfy our sufficient spectral identifiability condition. This results in a computationally attractive scheme for retrieving the data information sequences after the MIMO channel has been identified. We assess the performance of the proposed algorithms by computer simulations. In particular, the results show that our technique outperforms the previously introduced transmitter-induced conjugate cyclostationarity approach when there are carrier frequency misadjustments." }, { "paper": "2045588782", "venue": "58069681", "year": "2001", "title": "likelihood maximization for list mode emission tomographic image reconstruction", "label": [ "177769412", "126255220", "149717495", "41233406", "191462741", "182081679", "159694833", "9810830", "11413529" ], "author": [ "2130417666" ], "reference": [ "292990780", "1647554959", "1965555277", "1967374611", "1981367467", "1992065047", "1999826614", "2014116058", "2024476015", "2049633694", "2050937983", "2053742104", "2064093331", "2066629662", "2067382076", "2069629287", "2088909704", "2104640018", "2108078594", "2113489922", "2135691000", "2141161788", "2148481429", "2164451718", "3129711340", "3156571302", "3193262203" ], "abstract": "the maximum a posteriori map bayesian iterative algorithm using priors that are gamma distributed due to lange bahn and little is extended to include parameter choices that fall outside the gamma distribution model special cases of the resulting iterative method include the expectation maximization maximum likelihood emml method based on the poisson model in emission tomography as well as algorithms obtained by parra and barrett and by huesman et al that converge to maximum likelihood and maximum conditional likelihood estimates of radionuclide intensities for list mode emission tomography the approach taken here is optimization theoretic and does not rely on the usual expectation maximization em formalism block iterative variants of the algorithms are presented a self contained elementary proof of convergence of the algorithm is included", "title_raw": "Likelihood maximization for list-mode emission tomographic image reconstruction", "abstract_raw": "The maximum a posteriori (MAP) Bayesian iterative algorithm using priors that are gamma distributed, due to Lange, Bahn and Little, is extended to include parameter choices that fall outside the gamma distribution model. Special cases of the resulting iterative method include the expectation maximization maximum likelihood (EMML) method based on the Poisson model in emission tomography, as well as algorithms obtained by Parra and Barrett and by Huesman et al. that converge to maximum likelihood and maximum conditional likelihood estimates of radionuclide intensities for list-mode emission tomography. The approach taken here is optimization-theoretic and does not rely on the usual expectation maximization (EM) formalism. Block-iterative variants of the algorithms are presented. A self-contained, elementary proof of convergence of the algorithm is included." }, { "paper": "1996171685", "venue": "102439543", "year": "2001", "title": "on the complexity of stochastic integration", "label": [ "28826006", "205203396", "14158598", "77553402", "102634674", "114460028", "112401455", "8272713", "178042281", "134306372" ], "author": [ "1976856044", "2533376386" ], "reference": [ "1525253579", "1575104486", "2016416695", "2017309389", "2031965247", "2073937734", "2081275435", "2137224975", "2141436719", "2569481888", "2740099321" ], "abstract": "we study the complexity of approximating stochastic integrals with error e for various classes of functions for ito integration we show that the complexity is of order e 1 even for classes of very smooth functions the lower bound is obtained by showing that ito integration is not easier than lebesgue integration in the average case setting with the wiener measure the upper bound is obtained by the milstein algorithm which is almost optimal in the considered classes of functions the milstein algorithm uses the values of the brownian motion and the integrand it is bilinear in these values and is very easy to implement for stratonovich integration we show that the complexity depends on the smoothness of the integrand and may be much smaller than the complexity of ito integration", "title_raw": "On the complexity of stochastic integration", "abstract_raw": "We study the complexity of approximating stochastic integrals with error e for various classes of functions. For Ito integration, we show that the complexity is of order e -1 , even for classes of very smooth functions. The lower bound is obtained by showing that Ito integration is not easier than Lebesgue integration in the average case setting with the Wiener measure. The upper bound is obtained by the Milstein algorithm, which is almost optimal in the considered classes of functions. The Milstein algorithm uses the values of the Brownian motion and the integrand. It is bilinear in these values and is very easy to implement. For Stratonovich integration, we show that the complexity depends on the smoothness of the integrand and may be much smaller than the complexity of Ito integration." }, { "paper": "2092972771", "venue": "897311980", "year": "2001", "title": "stationary hamilton jacobi equations in hilbert spaces and applications to a stochastic optimal control problem", "label": [ "28826006", "62799726", "129844170", "2778860007", "22324862", "207405024", "14646407", "170131372", "130787639", "134306372" ], "author": [ "729336574" ], "reference": [ "650120993", "1540580484", "1542004730", "1558902221", "1972547274", "1972715243", "1974640029", "1977895389", "1980717903", "1994682102", "2002999123", "2011279495", "2027201301", "2027319662", "2029010557", "2032316144", "2047765974", "2065161337", "2094435795", "2131713620", "2164094632", "2166268470", "2177007614" ], "abstract": "we study an infinite horizon stochastic control problem associated with a class of stochastic reaction diffusion systems with coefficients having polynomial growth the hamiltonian is assumed to be only locally lipschitz continuous so that the quadratic case can be covered we prove that the value function v corresponding to the control problem is given by the solution of the stationary hamilton jacobi equation associated with the state system to this purpose we write the hamilton jacobi equation in integral form and by using the smoothing properties of the transition semigroup relative to the state system and the theory of m dissipative operators we show that it admits a unique solution moreover the value function v is obtained as the limit of minima for some approximating control problems which admit unique optimal controls and states", "title_raw": "Stationary Hamilton--Jacobi Equations in Hilbert Spaces and Applications to a Stochastic Optimal Control Problem", "abstract_raw": "We study an infinite horizon stochastic control problem associated with a class of stochastic reaction-diffusion systems with coefficients having polynomial growth. The hamiltonian is assumed to be only locally Lipschitz continuous so that the quadratic case can be covered. We prove that the value function V corresponding to the control problem is given by the solution of the stationary Hamilton--Jacobi equation associated with the state system. To this purpose we write the Hamilton--Jacobi equation in integral form, and, by using the smoothing properties of the transition semigroup relative to the state system and the theory of m-dissipative operators, we show that it admits a unique solution. Moreover, the value function V is obtained as the limit of minima for some approximating control problems which admit unique optimal controls and states." }, { "paper": "2091973410", "venue": "59933527", "year": "2001", "title": "equivalence and normal forms for the restricted and bounded fixpoint in the nested algebra", "label": [ "2780432614", "118615104", "173125200", "61445026", "114614502", "34388435", "2780069185", "125565743" ], "author": [ "2311329814", "1986159374", "2143976917" ], "reference": [ "135323631", "581041093", "1489881727", "1596560506", "1939001241", "1974959615", "2005471433", "2016282341", "2042690606", "2044215335", "2059144726", "2069597938", "2088094394", "2089781037", "2093009437", "2100220081", "2121824141", "2143332976", "2165467455", "2795870169", "2800910233" ], "abstract": "the nested model is an extension of the traditional flat relational model in which relations can also have relation valued entries its default query language the nested algebra is rather weak unfortunately since it is only a conservative extension of the traditional flat relational algebra and thus can express only a small fraction of the polynomial time queries therefore it was proposed to extend the nested algebra with a fixpoint construct but the resulting language turned out to be too powerful many inherently exponential queries could also be expressed two polynomial time restrictions of the fixpoint closure of the nested algebra were proposed the restricted fixpoint closure by gyssens and van gucht and the bounded fixpoint closure by suciu here we prove two results first we show that both restrictions are equivalent in expressive power the proof technique relies on known encodings of nested relations into flat ones and on a novel technique called type substitution by which we reduce the equivalence of the two restrictions to its obvious counterpart in the flat relational model second we prove that both the bounded fixpoint queries and the restricted fixpoint queries admit normal forms in which the fixpoint occurs exactly once the proof technique relies on a novel encoding method of nested relations into flat ones", "title_raw": "Equivalence and Normal Forms for the Restricted and Bounded Fixpoint in the Nested Algebra", "abstract_raw": "The nested model is an extension of the traditional, \u201cflat\u201d relational model in which relations can also have relation-valued entries. Its \u201cdefault\u201d query language, the nested algebra, is rather weak, unfortunately, since it is only a conservative extension of the traditional, flat relational algebra, and thus can express only a small fraction of the polynomial-time queries. Therefore, it was proposed to extend the nested algebra with a fixpoint construct, but the resulting language turned out to be too powerful: many inherently exponential queries could also be expressed. Two polynomial-time restrictions of the fixpoint closure of the nested algebra were proposed: the restricted fixpoint closure (by Gyssens and Van Gucht) and the bounded fixpoint closure (by Suciu). Here, we prove two results. First we show that both restrictions are equivalent in expressive power. The proof technique relies on known encodings of nested relations into flat ones, and on a novel technique, called type substitution, by which we reduce the equivalence of the two restrictions to its obvious counterpart in the flat relational model. Second we prove that both the bounded fixpoint queries and the restricted fixpoint queries admit normal forms, in which the fixpoint occurs exactly once. The proof technique relies on a novel encoding method of nested relations into flat ones." }, { "paper": "2172377330", "venue": "51360982", "year": "2001", "title": "brief upper and lower bounds of the frequency response gain of sampled data systems", "label": [ "118615104", "8590192", "157544257", "114614502", "77553402" ], "author": [ "2103914947", "2718634051", "2132093682" ], "reference": [ "313877554", "1511275238", "1966789311", "1972015360", "2021261430", "2034278445", "2070968254", "2084911649", "2098407814", "2102338368", "2115096067", "2124571125", "2130142282", "2151915608", "2154938264", "2160887035", "2162496253", "2164710038", "2519437060" ], "abstract": "this paper gives three independent methods to compute the upper and lower bounds of the norm of the frequency response operator of sampled data systems they are useful first in its own right as an approximate method and more importantly as a method to provide an effective set of the initial upper and lower bounds for the recently developed bisection algorithm it is also shown that our arguments have very close relationships to the sampled data h 2 and h problems", "title_raw": "Brief Upper and lower bounds of the frequency response gain of sampled-data systems", "abstract_raw": "This paper gives three independent methods to compute the upper and lower bounds of the norm of the frequency response operator of sampled-data systems. They are useful first in its own right (as an approximate method), and more importantly as a method to provide an effective set of the initial upper and lower bounds for the recently-developed bisection algorithm. It is also shown that our arguments have very close relationships to the sampled-data H\"2 and H\"~ problems." }, { "paper": "1987241351", "venue": "70695507", "year": "2001", "title": "bifurcation of positive solutions from zero or infinity in elliptic problems which are not linearizable", "label": [ "54067925", "170023025", "73749972", "123958593", "117121985", "197875053", "134306372", "70610323", "24902271" ], "author": [ "2475218390", "694761679" ], "reference": [ "1866311589", "1988298423", "1992555728", "1997813348", "1999689036", "2010411821", "2019819686", "2065477927", "2073370369", "2093957401", "2111145614" ], "abstract": "", "title_raw": "Bifurcation of positive solutions from zero or infinity in elliptic problems which are not linearizable", "abstract_raw": "" }, { "paper": "2000153537", "venue": "169411308", "year": "2001", "title": "on the entropy of dynamical systems in product mv algebras", "label": [ "79379906", "207264727", "113748116", "175197506", "202444582" ], "author": [ "1965239476" ], "reference": [ "123467068", "1967925168", "1968523816", "1973195947", "1985104705", "1987654380", "1989551546", "1994641991", "2016879233", "2030247214", "2070758760", "2079605328", "2625693277" ], "abstract": "recently the so called product mv algebras have been introduced and the entropy of partitions in these algebras have been studied in this paper the previous results are applied to dynamical systems", "title_raw": "On the entropy of dynamical systems in product MV algebras", "abstract_raw": "Recently, the so-called product MV algebras have been introduced and the entropy of partitions in these algebras have been studied. In this paper the previous results are applied to dynamical systems." }, { "paper": "2001892194", "venue": "114406506", "year": "2001", "title": "strichartz estimates for second order hyperbolic operators with nonsmooth coefficients ii", "label": [ "114460028", "144618667", "20589650", "134306372" ], "author": [ "2193778519" ], "reference": [ "361618090", "1504272734", "1584610719", "1600485280", "1897244664", "1970386123", "1972038344", "1978555166", "1986634257", "2002465072", "2012840660", "2043253818", "2053615880", "2055616959", "2058382538", "2072280393", "2079706362", "2091163350", "2094257571", "2102327241", "2321853615", "2767687220" ], "abstract": "in an earlier work we have proved some estimates of strichartz type for second order hyperbolic operators with c s coefficients for 0 s 1 here we improve these estimates and extend the range of s to 0 s 2 in particular for s 2 we obtain the full strichartz estimates", "title_raw": "Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients, II", "abstract_raw": "In an earlier work we have proved some estimates of Strichartz type for second order hyperbolic operators with C s coefficients for 0 \u2264 s \u2264 1. Here we improve these estimates and extend the range of s to 0 \u2264 s \u2264 2. In particular for s = 2 we obtain the full Strichartz estimates." }, { "paper": "2153926229", "venue": "100601982", "year": "2001", "title": "renormalization in quantum field theory and the riemann hilbert problem ii the \u03b2 function diffeomorphisms and the renormalization group", "label": [ "154483964", "187915474", "134306372", "166124518", "207740291", "37914503", "56991379", "93063749", "68532491", "29712632" ], "author": [ "2251331699", "2292288593" ], "reference": [], "abstract": "we showed in part i that the hopf algebra of feynman graphs in a given qft is the algebra of coordinates on a complex infinite dimensional lie group g and that the renormalized theory is obtained from the unrenormalized one by evaluating at 0 the holomorphic part of the riemann hilbert decomposition 1 of the loop g provided by dimensional regularization we show in this paper that the group g acts naturally on the complex space x of dimensionless coupling constants of the theory more precisely the formula g 0 gz 1 z 3 3 2 for the effective coupling constant when viewed as a formal power series does define a hopf algebra homomorphism between the hopf algebra of coordinates on the group of formal diffeomorphisms to the hopf algebra this allows first of all to read off directly without using the group g the bare coupling constant and the renormalized one from the riemann hilbert decomposition of the unrenormalized effective coupling constant viewed as a loop of formal diffeomorphisms this shows that renormalization is intimately related with the theory of non linear complex bundles on the riemann sphere of the dimensional regularization parameter it also allows to lift both the renormalization group and the function as the asymptotic scaling in the group g this exploits the full power of the riemann hilbert decomposition together with the invariance of under a change of unit of mass this not only gives a conceptual proof of the existence of the renormalization group but also delivers a scattering formula in the group g for the full higher pole structure of minimal subtracted counterterms in terms of the residue", "title_raw": "Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The \u03b2-Function, Diffeomorphisms and the Renormalization Group", "abstract_raw": "We showed in Part I that the Hopf algebra \u210b of Feynman graphs in a given QFT is the algebra of coordinates on a complex infinite dimensional Lie group G and that the renormalized theory is obtained from the unrenormalized one by evaluating at \u025b= 0 the holomorphic part \u03b3+(\u025b) of the Riemann\u2013Hilbert decomposition \u03b3\u2212(\u025b)\u2212 1\u03b3+(\u025b) of the loop \u03b3(\u025b)\u2208G provided by dimensional regularization. We show in this paper that the group G acts naturally on the complex space X of dimensionless coupling constants of the theory. More precisely, the formula g\n\n 0=gZ\n\n 1\n\n Z\n\n 3\n\n \u22123/2 for the effective coupling constant, when viewed as a formal power series, does define a Hopf algebra homomorphism between the Hopf algebra of\ncoordinates on the group of formal diffeomorphisms to the Hopf algebra \u210b. This allows first of all to read off directly, without using the group G, the bare coupling constant and the renormalized one from the Riemann\u2013Hilbert decomposition of the unrenormalized effective coupling constant viewed as a loop of formal diffeomorphisms. This shows that renormalization is intimately related with the theory of non-linear complex bundles on the Riemann sphere of the dimensional regularization parameter \u025b. It also allows to lift both the renormalization group and the \u03b2-function as the asymptotic scaling in the group G. This exploits the full power of the Riemann\u2013Hilbert decomposition together with the invariance of \u03b3\u2212(\u025b) under a change of unit of mass. This not only gives a conceptual proof of the existence of the renormalization group but also delivers a scattering formula in the group G for the full higher pole\nstructure of minimal subtracted counterterms in terms of the residue." }, { "paper": "1520771084", "venue": "119757635", "year": "2001", "title": "locally asymptotically optimal designs for testing in logistic regression", "label": [ "126255220", "151956035", "118299288", "181789720", "87007009" ], "author": [ "728429211", "2688639432" ], "reference": [ "1975745878", "2007801319", "2014018052", "2018639632", "2050190695", "2050419387", "2060277929", "2067560285", "2125157280", "2736288948" ], "abstract": "design measures maximizing local power of asymptotically uniformly most powerful aump tests about the value of logitp outside the observation space are characterized", "title_raw": "Locally asymptotically optimal designs for testing in logistic regression", "abstract_raw": "Design measures maximizing local power of asymptotically uniformly most powerful (AUMP) tests about the value of logitP outside the observation space are characterized." }, { "paper": "2035798488", "venue": "79244937", "year": "2001", "title": "an elementary construction of lowering and raising operators for the trigonometric calogero sutherland model", "label": [ "200741047", "29001434", "158245278", "202444582" ], "author": [ "1828412225", "2104198861", "3098595878" ], "reference": [ "1534917578", "1963871049", "1983894121", "1990974015", "1994247983", "2011023754", "2043619701", "2045669127", "2053138992", "2061529162", "2067175118", "2088934470", "2124818311", "2134984950", "2140835403", "2151063832", "2151544170", "2531130233", "2614058653", "3106357993" ], "abstract": "the quantum calogero sutherland model of an type calogero f 1971 j math phys 12 419 36 sutherland b 1972 phys rev a 4 2019 21 is completely integrable olshanetsky m a and perelomov a m 1977 lett math phys 2 7 13 olshanetsky m a and perelomov a m 1978 funct anal appl 12 121 8 olshanetsky m a and perelomov a m 1983 phys rep 94 313 404 using this fact we give an elementary construction of lowering and raising operators for the trigonometric case this is similar to but more complicated due to the fact that the energy spectrum is not equidistant than the construction for the rational case perelomov a m 1976 itep preprint no 27", "title_raw": "An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model", "abstract_raw": "The quantum Calogero\u2013Sutherland model of An-type (Calogero F 1971 J. Math. Phys. 12 419\u201336, Sutherland B 1972 Phys. Rev. A 4 2019\u201321) is completely integrable (Olshanetsky M A and Perelomov A M 1977 Lett. Math. Phys. 2 7\u201313, Olshanetsky M A and Perelomov A M 1978 Funct. Anal. Appl. 12 121\u20138, Olshanetsky M A and Perelomov A M 1983 Phys. Rep. 94 313\u2013404). Using this fact, we give an elementary construction of lowering and raising operators for the trigonometric case. This is similar to, but more complicated (due to the fact that the energy spectrum is not equidistant) than the construction for the rational case (Perelomov A M 1976 ITEP Preprint No 27)." }, { "paper": "2038076237", "venue": "151579836", "year": "2001", "title": "oscillation criteria for forced first order neutral differential equations with variable coefficients", "label": [ "134306372", "182365436", "78045399", "22324862", "2777215656" ], "author": [ "2674885805", "2193054121" ], "reference": [ "653547768", "1982011554", "2054068470", "2069476810", "2071871248" ], "abstract": "abstract necessary and sufficient conditions are obtained so that every solution of y t p t y t q t g y t f t is oscillatory or tends to zero or to as t the problem is considered in various ranges for p t", "title_raw": "Oscillation Criteria for Forced First Order Neutral Differential Equations with Variable Coefficients", "abstract_raw": "Abstract Necessary and sufficient conditions are obtained so that every solution of ( y ( t )\u00a0\u2212\u00a0 p ( t ) y ( t \u00a0\u2212\u00a0\u03c4))\u2032\u00a0+\u00a0 Q ( t ) G ( y ( t \u00a0\u2212\u00a0\u03c3))\u00a0=\u00a0 f ( t ) is oscillatory or tends to zero or to \u00b1\u00a0\u221e as t \u00a0\u2192\u00a0\u221e. The problem is considered in various ranges for p ( t )." }, { "paper": "2037605869", "venue": "184147796", "year": "2001", "title": "on the automorphisms of incidence algebras", "label": [ "2781409319", "124453015", "118615104", "61511704", "180645754", "115179944", "23259944", "202444582", "7619685", "118712358" ], "author": [ "2002817725" ], "reference": [ "1968140136", "2006100949", "2035049158", "2046900284", "2070380488", "2127473107", "2161396108" ], "abstract": "abstract given a locally finite partially ordered set x a ring with identity r and an automorphism of the incidence algebra of x over r it is determined when is the composite of an inner automorphism an automorphism of x and an induced automorphism of r", "title_raw": "On the Automorphisms of Incidence Algebras", "abstract_raw": "Abstract Given a locally finite partially ordered set, X , a ring with identity, R , and an automorphism, \u03c6, of the incidence algebra of X over R , it is determined when \u03c6 is the composite of an inner automorphism, an automorphism of X , and an induced automorphism of R ." }, { "paper": "1995735753", "venue": "54953690", "year": "2001", "title": "weak poincare inequalities and l2 convergence rates of markov semigroups", "label": [ "164506360", "98763669", "206399364", "46979015", "140142295", "84135550", "134306372", "207405024", "202444582" ], "author": [ "363589124", "2117691606" ], "reference": [ "100944330", "140597968", "190123899", "1518824415", "1533580496", "1545063325", "1567771969", "1970185960", "1988100487", "2006881398", "2014724000", "2014732516", "2016981269", "2042281247", "2043876750", "2044168229", "2044213199", "2047996184", "2057010857", "2057310573", "2065748792", "2081693240", "2089699817", "2114496354", "2125433609" ], "abstract": "abstract in order to describe l 2 convergence rates slower than exponential the weak poincare inequality is introduced it is shown that the convergence rate of a markov semigroup and the corresponding weak poincare inequality can be determined by each other conditions for the weak poincare inequality to hold are presented which are easy to check and which hold in many applications the weak poincare inequality is also studied by using isoperimetric inequalities for diffusion and jump processes some typical examples are given to illustrate the general results in particular our results are applied to the stochastic quantization of field theory in finite volume moreover a sharp criterion of weak poincare inequalities is presented for poisson measures on configuration spaces", "title_raw": "Weak Poincar\u00e9 Inequalities and L2-Convergence Rates of Markov Semigroups", "abstract_raw": "Abstract In order to describe L 2 -convergence rates slower than exponential, the weak Poincare inequality is introduced. It is shown that the convergence rate of a Markov semigroup and the corresponding weak Poincare inequality can be determined by each other. Conditions for the weak Poincare inequality to hold are presented, which are easy to check and which hold in many applications. The weak Poincare inequality is also studied by using isoperimetric inequalities for diffusion and jump processes. Some typical examples are given to illustrate the general results. In particular, our results are applied to the stochastic quantization of field theory in finite volume. Moreover, a sharp criterion of weak Poincare inequalities is presented for Poisson measures on configuration spaces." }, { "paper": "2010005754", "venue": "159544283", "year": "2001", "title": "banded matrices and difference equations", "label": [ "33343441", "9376300", "158693339", "192702615", "2779677727", "51647924", "114614502", "42321380", "2780544087" ], "author": [ "1750781971" ], "reference": [ "26725264", "1567352657", "2013737143", "2021740699", "2052585593", "2058723382", "2079564470", "2128978199", "2610857016", "2745272796", "2798909945" ], "abstract": "abstract in this paper we consider discrete sturm liouville eigenvalue problems of the form l y k n 0 r k y k 1 y k 1 for 0 k n n with y 1 n y 0 y n 2 n y n 1 0 where n and n are integers with 1 n n and under the assumption that r n k 0 for all k these problems correspond to eigenvalue problems for symmetric banded matrices a r n 1 n n 1 n with bandwidth 2n 1 we present the following results 1 an inversion formula which shows that every symmetric banded matrix corresponds uniquely to a sturm liouville eigenvalue problem of the above form 2 a formula for the characteristic polynomial of a which yields a recursion for its calculation 3 an oscillation theorem which generalizes well known results on tridiagonal matrices these new results can be used to treat numerically the algebraic eigenvalue problem for symmetric banded matrices without reduction to tridiagonal form", "title_raw": "Banded matrices and difference equations", "abstract_raw": "Abstract In this paper we consider discrete Sturm\u2013Liouville eigenvalue problems of the form L(y) k :=\u2211 n \u03bc=0 (\u2212\u0394) \u03bc r \u03bc (k)\u0394 \u03bc y k+1\u2212\u03bc =\u03bby k+1 for 0\u2a7dk\u2a7dN\u2212n with y 1\u2212n =\u22ef=y 0 =y N+2\u2212n =\u22ef=y N+1 =0 , where N and n are integers with 1\u2a7dn\u2a7dN and under the assumption that r n (k)\u22600 for all k . These problems correspond to eigenvalue problems for symmetric, banded matrices A \u2208 R (N+1\u2212n)\u00d7(N+1\u2212n) with bandwidth 2n+1 . We present the following results: 1. an inversion formula, which shows that every symmetric, banded matrix corresponds uniquely to a Sturm\u2013Liouville eigenvalue problem of the above form; 2. a formula for the characteristic polynomial of A , which yields a recursion for its calculation; 3. an oscillation theorem, which generalizes well-known results on tridiagonal matrices. These new results can be used to treat numerically the algebraic eigenvalue problem for symmetric, banded matrices without reduction to tridiagonal form." }, { "paper": "2141503762", "venue": "33323087", "year": "2001", "title": "what determines the shape of the probability weighting function under uncertainty", "label": [ "105795698", "97933134", "57830394", "130648207", "179019785", "21031990", "34896222", "122123141", "158557763" ], "author": [ "2304590901", "2217388719" ], "reference": [ "79789520", "1965761421", "1975691193", "1978844375", "1980339486", "1986754049", "2004822008", "2017211257", "2027047704", "2041946752", "2042223112", "2042695214", "2045416921", "2051265596", "2052111257", "2054875343", "2054948017", "2056819186", "2080724357", "2085466803", "2099161251", "2099406597", "2102118103", "2116070369", "2116272813", "2119064179", "2120733867", "2120947277", "2124778546", "2144810549", "2144846366", "2145866011", "2150552447", "2154115968", "2155513791", "2166236773", "2333311386", "3027820740", "3123578931" ], "abstract": "decision weights are an important component in recent theories of decision making under uncertainty to better explain these decision weights a two stage approach has been proposed first the probability of an event is judged and then this probability is transformed by the probability weighting function known from decision making under risk we extend the two stage approach by allowing the probability weighting function to depend on the type of uncertainty using this more general approach properties of decision weights can be attributed to properties of probability judgments and or to properties of probability weighting we present an empirical study that shows that it is indeed necessary to allow the probability weighting function to be source dependent the analysis includes an examination of properties of the probability weighting function under uncertainty that have not been considered yet", "title_raw": "What Determines the Shape of the Probability Weighting Function Under Uncertainty", "abstract_raw": "Decision weights are an important component in recent theories of decision making under uncertainty. To better explain these decision weights, a two-stage approach has been proposed: First, the probability of an event is judged and then this probability is transformed by the probability weighting function known from decision making under risk. We extend the two-stage approach by allowing the probability weighting function to depend on the type of uncertainty. Using this more general approach, properties of decision weights can be attributed to properties of probability judgments and/or to properties of probability weighting. We present an empirical study that shows that it is indeed necessary to allow the probability weighting function to be source dependent. The analysis includes an examination of properties of the probability weighting function under uncertainty that have not been considered yet." }, { "paper": "2096920618", "venue": "157670870", "year": "2001", "title": "an efficient optimal normal basis type ii multiplier", "label": [ "94398972", "77926391", "205567592", "28495749", "179799912", "118615104" ], "author": [ "662498110", "2057074609" ], "reference": [ "1515926918", "1569612250", "1587576127", "1894395730", "2091095778", "2128903967", "2145254449" ], "abstract": "this paper presents a new parallel multiplier for the galois field gf 2 sup m whose elements are represented using the optimal normal basis of type ii the proposed multiplier requires 1 5 m sup 2 m xor gates as compared to 2 m sup 2 m xor gates required by the massey omura multiplier the time complexities of the proposed and the massey omura multipliers are similar", "title_raw": "An efficient optimal normal basis type II multiplier", "abstract_raw": "This paper presents a new parallel multiplier for the Galois field GF(2/sup m/) whose elements are represented using the optimal normal basis of type II. The proposed multiplier requires 1.5(m/sup 2/-m) XOR gates, as compared to 2(m/sup 2/-m) XOR gates required by the Massey-Omura multiplier. The time complexities of the proposed and the Massey-Omura multipliers are similar." }, { "paper": "2079924640", "venue": "100601982", "year": "2001", "title": "resonance theory for schrodinger operators", "label": [ "158693339", "190333341", "2777021972", "11683690", "63036615" ], "author": [ "341013906", "3176713419" ], "reference": [ "171105080", "1645616826", "1977652771", "1978529193", "1982904764", "1985173721", "2005542201", "2011796296", "2027398797", "2041359645", "2056186320", "2056451909", "2069453797", "2070139049", "2075277257", "2081054918", "2088660233", "2131923516", "2137127917", "2498447827", "2584531390" ], "abstract": "resonances which result from perturbation of embedded eigenvalues are studied by time dependent methods a general theory is developed with new and weaker conditions allowing for perturbations of threshold eigenvalues and relaxed fermi golden rule the exponential decay rate of resonances is addressed its uniqueness in the time dependent picture is shown in certain cases the relation to the existence of meromorphic continuation of the properly weighted green s function to time dependent resonance is further elucidated by giving an equivalent time dependent asymptotic expansion of the solutions of the schrodinger equation", "title_raw": "Resonance Theory for Schr\u00f6dinger Operators", "abstract_raw": "Resonances which result from perturbation of embedded eigenvalues are studied by time dependent methods. A general theory is developed, with new and weaker conditions, allowing for perturbations of threshold eigenvalues and relaxed Fermi Golden rule. The exponential decay rate of resonances is addressed; its uniqueness in the time dependent picture is shown in certain cases. The relation to the existence of meromorphic continuation of the properly weighted Green\u2013s function to time dependent resonance is further elucidated, by giving an equivalent time dependent asymptotic expansion of the solutions of the Schrodinger equation." }, { "paper": "2025021770", "venue": "102439543", "year": "2001", "title": "numerical computation of viscous profiles for hyperbolic conservation laws", "label": [ "48753275", "182310444", "62884695", "78045399", "3445786", "134306372", "51544822", "34862557" ], "author": [ "746301653", "2164371026" ], "reference": [ "85861326", "577738695", "627486127", "638725251", "1966278241", "1971808848", "1977937351", "1995043140", "2024626215", "2028296976", "2047389619", "2056023300", "2062497085", "2063404419", "2074920889", "2077545556", "2088754516", "2093320626", "2098661141", "2319790169" ], "abstract": "viscous profiles of shock waves in systems of conservation laws can be viewed as heteroclinic orbits in associated systems of ordinary differential equations ode in the case of overcompressive shock waves these orbits occur in multi parameter families we propose a numerical method to compute families of heteroclinic orbits in general systems of ode the key point is a special parameterization of the heteroclinic manifold which can be understood as a generalized phase condition in the case of shock profiles this phase condition has a natural interpretation regarding their stability we prove that our method converges and present numerical results for several systems of conservation laws these examples include traveling waves for the navier stokes equations for compressible viscous heat conductive fluids and for the magnetohydrodynamics equations for viscous heat conductive electrically resistive fluids that correspond to shock wave solutions of the associated ideal models i e the euler resp lundquist equations", "title_raw": "Numerical computation of viscous profiles for hyperbolic conservation laws", "abstract_raw": "Viscous profiles of shock waves in systems of conservation laws can be viewed as heteroclinic orbits in associated systems of ordinary differential equations (ODE). In the case of overcompressive shock waves, these orbits occur in multi-parameter families. We propose a numerical method to compute families of heteroclinic orbits in general systems of ODE. The key point is a special parameterization of the heteroclinic manifold which can be understood as a generalized phase condition; in the case of shock profiles, this phase condition has a natural interpretation regarding their stability. We prove that our method converges and present numerical results for several systems of conservation laws. These examples include traveling waves for the Navier-Stokes equations for compressible viscous, heat-conductive fluids and for the magnetohydrodynamics equations for viscous, heat-conductive, electrically resistive fluids that correspond to shock wave solutions of the associated ideal models, i.e., the Euler, resp. Lundquist, equations." }, { "paper": "2053257563", "venue": "151579836", "year": "2001", "title": "the carleman s inequality for a negative power number", "label": [ "2777355415", "202444582", "94624232", "134306372", "46979015", "45555294", "84135550", "206399364" ], "author": [ "2621982711", "2511705953" ], "reference": [ "2094909738", "2096580464" ], "abstract": "abstract by the method of indeterminate coefficients we prove the inequality formula where a n 0 n 1 2 n 1 a n", "title_raw": "The Carleman's Inequality for a Negative Power Number\u2606", "abstract_raw": "Abstract By the method of indeterminate coefficients we prove the inequality[formula]where a n \u00a0\u2265\u00a00,\u00a0 n \u00a0=\u00a01,\u00a02,\u2026,\u2211 \u221e n \u00a0=\u00a01 a n" }, { "paper": "2028065029", "venue": "70695507", "year": "2002", "title": "identification of convection term in a parabolic equation with a single measurement", "label": [ "93779851", "17456955", "134306372", "182310444", "186867907", "155940", "26955809", "2779560616" ], "author": [ "2197534356", "2993391148" ], "reference": [ "604456982", "1527296550", "1575147392", "1597209545", "2012005558", "2016896352", "2018207223", "2030749893", "2048561965", "2072685235", "2568647442" ], "abstract": "", "title_raw": "Identification of convection term in a parabolic equation with a single measurement", "abstract_raw": "" }, { "paper": "2091483375", "venue": "90727058", "year": "2002", "title": "conjugacy on partial words", "label": [ "87945829", "164804908", "125565743" ], "author": [ "711988703", "2694890181" ], "reference": [ "137071685", "1514324498", "1582031353", "1594313467", "1978272604", "2025480103", "2026425356", "2047107624", "2058302256", "2089045341", "2128647267" ], "abstract": "the study of the combinatorial properties of strings of symbols from a finite alphabet also referred to as words is profoundly connected to numerous fields such as biology computer science mathematics and physics in this paper we examine to which extent some fundamental combinatorial properties of words such as conjugacy remain true for partial words the motivation behind the notion of a partial word is the comparison of two genes alignment of two such strings can be viewed as a construction of two partial words that are said to be compatible this study on partial words was initiated by berstel and boasson", "title_raw": "Conjugacy on partial words", "abstract_raw": "The study of the combinatorial properties of strings of symbols from a finite alphabet (also referred to as words) is profoundly connected to numerous fields such as biology, computer science, mathematics, and physics. In this paper, we examine to which extent some fundamental combinatorial properties of words, such as conjugacy, remain true for partial words. The motivation behind the notion of a partial word is the comparison of two genes (alignment of two such strings can be viewed as a construction of two partial words that are said to be compatible). This study on partial words was initiated by Berstel and Boasson." }, { "paper": "2128098069", "venue": "50372074", "year": "2002", "title": "exact solution of the particle cluster dynamic equation", "label": [ "114460028", "149441793", "520416788" ], "author": [ "2084079999" ], "reference": [ "1584240939", "1964369118", "2061826427", "2062036798", "2062517214" ], "abstract": "the symmetry reduction of the master equation of a one dimensional lattice gas model with order preservation where the occupation probabilities of sites corresponding to bose statistics as a consequence of the prescribed dynamics is studied some exact solutions are found", "title_raw": "Exact solution of the particle-cluster dynamic equation", "abstract_raw": "The symmetry reduction of the master equation of a one-dimensional lattice-gas model with order preservation where the occupation probabilities of sites corresponding to Bose statistics as a consequence of the prescribed dynamics is studied. Some exact solutions are found." }, { "paper": "3085678734", "venue": "185067381", "year": "2002", "title": "hausdorff dimension of sets of generic points for gibbs measures", "label": [ "158444337", "118615104", "90738871", "135789939", "194198291" ], "author": [ "2477812782", "3086659117" ], "reference": [ "1522660912", "1595391242", "1969507688", "1970755593", "2000309080", "2032121576", "2047772785", "2076858661", "2086656556" ], "abstract": "for a translation invariant gibbs measure on the configuration space x of a lattice finite spin system we consider the set x of generic points using a breiman type convergence theorem on the set x of generic points of an arbitrary translation invariant probability measure on x we evaluate the hausdorff dimension of the set x with respect to any metric out of a wide class of scale metrics on x including billingsley metrics generated by gibbs measures", "title_raw": "Hausdorff Dimension of Sets of Generic Points for Gibbs Measures", "abstract_raw": "For a translation invariant Gibbs measure \u03bd on the configuration space X of a lattice finite spin system, we consider the set X\n\n \u03bd\n of generic points. Using a Breiman type convergence theorem on the set X\n\n \u03bc\n of generic points of an arbitrary translation invariant probability measure \u03bc on X, we evaluate the Hausdorff dimension of the set X\n\n \u03bd\n with respect to any metric out of a wide class of \u201cscale\u201d metrics on X (including Billingsley metrics generated by Gibbs measures)." }, { "paper": "2029017926", "venue": "40006715", "year": "2002", "title": "combining metamodels with rational function representations of discretization error for uncertainty quantification", "label": [ "48753275", "28826006", "32230216", "33577790", "73000952", "102893441", "132459708", "19499675", "73905626", "75190567" ], "author": [ "2558068032", "1486479916", "1894593826" ], "reference": [ "648505205", "1551542124", "1971947347", "1980266375", "2002713086", "2031176666", "2055180707", "2056066076", "2056515188", "2089216023", "2092681651", "2113759470", "2160639727", "2316547941", "2317978669", "2318557215", "2335748804", "2995892452", "3004157836" ], "abstract": "abstract techniques for producing metamodels for the efficient monte carlo simulation of high consequence systems are presented the bias of f e m mesh discretization errors is eliminated or minimized by extrapolation using rational functions rather than the power series representation of richardson extrapolation examples including estimation of the vibrational frequency of a one dimensional bar show that the rational function model gives more accurate estimates using fewer terms than richardson extrapolation an important consideration for computational reliability assessment of high consequence systems where small biases in solutions can significantly affect the accuracy of small magnitude probability estimates rational function representation of discretization error enable the user to accurately extrapolate to the continuum from numerical experiments performed outside the asymptotic region of the usual power series allowing use of coarser meshes in the numerical experiments resulting in significant savings", "title_raw": "Combining metamodels with rational function representations of discretization error for uncertainty quantification", "abstract_raw": "Abstract Techniques for producing metamodels for the efficient Monte Carlo simulation of high consequence systems are presented. The bias of f.e.m mesh discretization errors is eliminated or minimized by extrapolation, using rational functions, rather than the power series representation of Richardson extrapolation. Examples, including estimation of the vibrational frequency of a one-dimensional bar, show that the rational function model gives more accurate estimates using fewer terms than Richardson extrapolation, an important consideration for computational reliability assessment of high-consequence systems, where small biases in solutions can significantly affect the accuracy of small-magnitude probability estimates. Rational function representation of discretization error enable the user to accurately extrapolate to the continuum from numerical experiments performed outside the asymptotic region of the usual power series, allowing use of coarser meshes in the numerical experiments, resulting in significant savings." }, { "paper": "2024103902", "venue": "40006715", "year": "2002", "title": "interface element method iem for a partitioned system with non matching interfaces", "label": [ "127349201", "73684929", "135628077", "182310444", "48753275", "11413529", "126794175", "175706884", "162835735" ], "author": [ "2133971608" ], "reference": [ "83662813", "1495898891", "1545082185", "1967758632", "1983706390", "1985053521", "1988744163", "1991647816", "2018039791", "2022459434", "2032155861", "2039882329", "2041523977", "2048816939", "2050725442", "2054732436", "2056364361", "2068954248", "2082613770", "2088772905", "2095459130", "2101121254", "2105555500", "2115411128", "2115594660", "2141609324", "2142136198", "2147169375", "2160489142", "2591181672", "3126174035", "3149667697" ], "abstract": "abstract a novel method for non matching interfaces on the boundaries of finite elements in partitioned domains is presented by introducing interface elements in this paper the interface element method iem satisfies the continuity conditions exactly through interface element domains without recourse to lagrange multiplier technique the interface elements take an interpolation scheme used in meshless methods to join partitioned domains the moving least square mls approximations in the present study are implemented to construct the shape functions of the interface elements the compatibility of displacements on the boundaries of the finite elements and the interface elements is always preserved in this method and the completeness of the shape functions of the interface elements transfers rigid body motions and strain fields correctly moreover alignment of the boundaries of sub domains in the mls approximations and integration domains provides a consistent numerical integration the numerical examples show that the iem is a useful tool for the analysis of a partitioned system and for a global local analysis", "title_raw": "Interface element method (IEM) for a partitioned system with non-matching interfaces", "abstract_raw": "Abstract A novel method for non-matching interfaces on the boundaries of finite elements in partitioned domains is presented by introducing interface elements in this paper. The interface element method (IEM) satisfies the continuity conditions exactly through interface element domains without recourse to Lagrange multiplier technique. The interface elements take an interpolation scheme used in meshless methods to join partitioned domains. The moving least square (MLS) approximations in the present study are implemented to construct the shape functions of the interface elements. The compatibility of displacements on the boundaries of the finite elements and the interface elements is always preserved in this method, and the completeness of the shape functions of the interface elements transfers rigid body motions and strain fields correctly. Moreover, alignment of the boundaries of sub-domains in the MLS approximations and integration domains provides a consistent numerical integration. The numerical examples show that the IEM is a useful tool for the analysis of a partitioned system and for a global\u2013local analysis." }, { "paper": "2079900132", "venue": "35412551", "year": "2002", "title": "using lyapunov exponents to predict the onset of chaos in nonlinear oscillators", "label": [ "164380108", "79379906", "41949839", "191544260", "167964875", "158622935", "60640748", "134306372" ], "author": [ "2100726136" ], "reference": [ "117626983", "418170210", "1577466517", "1964368703", "1964813488", "1969523693", "1979265581", "1983249679", "1987882966", "1998727969", "2002423982", "2005574695", "2005931916", "2014135023", "2023891648", "2026938880", "2028921629", "2039880371", "2050429482", "2055823233", "2058236317", "2058479255", "2072998188", "2091144817", "2103450383", "2108948940", "2113116765", "2121065739", "2145973393", "2152254020", "2161843199", "2167726952", "2505082511" ], "abstract": "an analytic technique for predicting the emergence of chaotic instability in nonlinear nonautonomous dissipative oscillators is proposed the method is based on the lyapunov type stability analysis of an arbitrary phase trajectory and the standard procedure of calculating the lyapunov characteristic exponents the concept of temporally local lyapunov exponents is then utilized for specifying the area in the phase space where any trajectory is asymptotically stable and therefore the existence of chaotic attractors is impossible the procedure of linear coordinate transform optimizing the linear part of the vector field is developed for the purpose of maximizing the stability area in the vicinity of a stable fixed point by considering the inverse conditions of asymptotic stability this approach allows formulating a necessary condition for chaotic motion in a broad class of nonlinear oscillatory systems including many cases of practical interest the examples of externally excited one and two well duffing oscillators and a planar pendulum demonstrate efficiency of the proposed method as well as a good agreement of the theoretical predictions with the results of numerical experiments the comparison of the proposed method with melnikov s criterion shows a potential advantage of using the former one at high values of dissipation parameter and or multifrequency type of excitation in dynamical systems", "title_raw": "Using Lyapunov exponents to predict the onset of chaos in nonlinear oscillators", "abstract_raw": "An analytic technique for predicting the emergence of chaotic instability in nonlinear nonautonomous dissipative oscillators is proposed. The method is based on the Lyapunov-type stability analysis of an arbitrary phase trajectory and the standard procedure of calculating the Lyapunov characteristic exponents. The concept of temporally local Lyapunov exponents is then utilized for specifying the area in the phase space where any trajectory is asymptotically stable, and, therefore, the existence of chaotic attractors is impossible. The procedure of linear coordinate transform optimizing the linear part of the vector field is developed for the purpose of maximizing the stability area in the vicinity of a stable fixed point. By considering the inverse conditions of asymptotic stability, this approach allows formulating a necessary condition for chaotic motion in a broad class of nonlinear oscillatory systems, including many cases of practical interest. The examples of externally excited one- and two-well Duffing oscillators and a planar pendulum demonstrate efficiency of the proposed method, as well as a good agreement of the theoretical predictions with the results of numerical experiments. The comparison of the proposed method with Melnikov's criterion shows a potential advantage of using the former one at high values of dissipation parameter and/or multifrequency type of excitation in dynamical systems." }, { "paper": "2025394312", "venue": "61604500", "year": "2002", "title": "numerical simulation of creeping fluid flow in reconstruction models of porous media", "label": [ "2524010", "175017881", "500300565" ], "author": [ "1374360750", "2111616051" ], "reference": [ "1487568991", "1592093959", "1596437024", "1964777326", "1970193514", "1980456089", "1981532661", "1985635555", "1987643083", "1991442821", "1997027646", "1999934710", "2014345605", "2015515873", "2026316104", "2029554330", "2041992564", "2076634668", "2083880195", "2091785490", "2109843552", "2110980673", "2122456265", "2125318030", "2130543237", "2153018598", "2162655315", "2165214321", "2553020437", "3044656254", "3101626414" ], "abstract": "abstract in this paper we examine representative examples of realistic three dimensional models for porous media by comparing their geometry and permeability with those of the original experimental specimen the comparison is based on numerically exact evaluations of permeability porosity specific internal surface mean curvature euler number and local percolation probabilities the experimental specimen is a three dimensional computer tomographic image of fontainebleau sandstone the three models are stochastic reconstructions for which many of the geometrical characteristics coincide with those of the experimental specimen we find that in spite of the similarity in the geometrical properties the permeability and formation factor can differ greatly between models and the experiment", "title_raw": "Numerical simulation of creeping fluid flow in reconstruction models of porous media", "abstract_raw": "Abstract In this paper we examine representative examples of realistic three-dimensional models for porous media by comparing their geometry and permeability with those of the original experimental specimen. The comparison is based on numerically exact evaluations of permeability, porosity, specific internal surface, mean curvature, Euler number and local percolation probabilities. The experimental specimen is a three-dimensional computer tomographic image of Fontainebleau sandstone. The three models are stochastic reconstructions for which many of the geometrical characteristics coincide with those of the experimental specimen. We find that in spite of the similarity in the geometrical properties the permeability and formation factor can differ greatly between models and the experiment." }, { "paper": "1972044735", "venue": "73535193", "year": "2002", "title": "vector valued rational interpolants over triangular grids", "label": [ "62354387", "56081698", "137127113", "2779844624", "155940", "125565743", "207467116", "17378031" ], "author": [ "2639577738", "2663004568", "2721249632" ], "reference": [ "1562841472", "1971947347", "1973586116", "2010555240", "2025143634", "2036471774", "2045306405", "2091317857" ], "abstract": "abstract given in this paper are some results about vector valued rational interpolants over triangular grids by means of thiele type branched continued fractions and the samelson inverse characterization theorem and uniqueness theorem in a certain sense are obtained moreover numerical examples are provided to support other properties of vector valued rational interpolants such as boundary interpolation and duality and it is pointed out that all the results in the vector case can be transplanted to the matrix valued case by the technique of expansion of matrix into vectors", "title_raw": "Vector valued rational interpolants over triangular grids", "abstract_raw": "Abstract Given in this paper are some results about vector valued rational interpolants over triangular grids by means of Thiele-type branched continued fractions and the Samelson inverse. Characterization theorem and uniqueness theorem in a certain sense are obtained. Moreover, numerical examples are provided to support other properties of vector valued rational interpolants such as boundary interpolation and duality. And it is pointed out that all the results in the vector case can be transplanted to the matrix valued case by the technique of expansion of matrix into vectors." }, { "paper": "1990307929", "venue": "115304631", "year": "2002", "title": "a fast search algorithm for vector quantization using l sub 2 norm pyramid of codewords", "label": [ "46011968", "93372532", "121610932", "40567965", "199833920", "78548338", "11413529", "19889080", "125583679" ], "author": [ "2171823370", "3205839685" ], "reference": [ "1634005169", "2015796583", "2026609130", "2067702454", "2069797735", "2100721247", "2103504761", "2104807620", "2113519987", "2115542497", "2116076246", "2134383396", "2142833895", "2149361517", "2156097299", "2166231107" ], "abstract": "vector quantization for image compression requires expensive encoding time to find the closest codeword to the input vector this paper presents a fast algorithm to speed up the closest codeword search process in vector quantization encoding by using an appropriate topological structure of the codebook we first derive a condition to eliminate unnecessary matching operations from the search procedure then based on this elimination condition a fast search algorithm is suggested simulation results show that with little preprocessing and memory cost the proposed search algorithm significantly reduces the encoding complexity while maintaining the same encoding quality as that of the full search algorithm it is also found that the proposed algorithm outperforms the existing search algorithms", "title_raw": "A fast search algorithm for vector quantization using L/sub 2/-norm pyramid of codewords", "abstract_raw": "Vector quantization for image compression requires expensive encoding time to find the closest codeword to the input vector. This paper presents a fast algorithm to speed up the closest codeword search process in vector quantization encoding. By using an appropriate topological structure of the codebook, we first derive a condition to eliminate unnecessary matching operations from the search procedure. Then, based on this elimination condition, a fast search algorithm is suggested. Simulation results show that with little preprocessing and memory cost, the proposed search algorithm significantly reduces the encoding complexity while maintaining the same encoding quality as that of the full search algorithm. It is also found that the proposed algorithm outperforms the existing search algorithms." }, { "paper": "1971232747", "venue": "8265502", "year": "2002", "title": "model checking techniques based on cumulative residuals", "label": [ "110251889" ], "author": [ "2100676624", "2581202027", "2000106460" ], "reference": [ "1497683195", "1528905581", "1580788756", "1970571177", "1991333308", "2006225775", "2006407427", "2012053212", "2016294184", "2017137572", "2024081693", "2034948055", "2059104151", "2063384143", "2080801582", "2091982937", "2094997729", "2102696271", "2128955349", "2149860264", "2157202423" ], "abstract": "depuis longtemps on utilise les residus pour apprecier graphiquement et muneriquement l adequation de modeles de regression l analyse conventionnelle des residus fondee sur les graphes des residus bruts ou des courbes lissees est eminemment subjective tandis que la plupart des tests numeriques d ajustement informent peu sur la nature de l inadequation nous developpons des techniques d examen d un modele objectives et informatives qui reposent soit sur les sommes des residus cumulees selon certaines coordonnees comme une covariable on le predicteur lineaire soit sur des regroupements partiels sommes ou moyennes mobiles selon ces coordonnees pour une grande variete de modeles statistiques et de structures des observations dont les modeles lineaires generalises sur observations independantes ou correlees les distributions de ces processus stochastiques sous le modele postule peuvent etre approchees par des processus gaussiens centres faciles a simuler on pent done comparer graphiquement et numeriquement chaque processus observe a une serie de realisations du ment chaque processus observe a une serie de realisations du processus gaussien ces comparaisons permettent d evaluer objectivement dans quelle mesure une tendance observee sur un graphique serait attribuable a une mauvaise specification du modele plutot qu aux fluctuations d echantillonnage ces techniques sont particulierement utiles pour l examen de la fonction de lien ou de la forme fonctionnelle d une covariable plusieurs exemples medicaux illustrent cette approche", "title_raw": "Model\u2010Checking Techniques Based on Cumulative Residuals", "abstract_raw": "Depuis longtemps, on utilise les residus pour apprecier graphiquement et muneriquement l'adequation de modeles de regression. L'analyse conventionnelle des residus, fondee sur les graphes des residus bruts ou des courbes lissees est eminemment subjective, tandis que la plupart des tests numeriques d'ajustement informent peu sur la nature de l'inadequation. Nous developpons des techniques d'examen d'un modele, objectives et informatives, qui reposent soit sur les sommes des residus cumulees selon certaines coordonnees (comme une covariable on le predicteur lineaire), soit sur des regroupements partiels (sommes ou moyennes mobiles) selon ces coordonnees. Pour une grande variete de modeles statistiques et de structures des observations, dont les modeles lineaires generalises sur observations independantes ou correlees, les distributions de ces processus stochastiques sous le modele postule peuvent etre approchees par des processus gaussiens centres, faciles a simuler. On pent done comparer graphiquement et numeriquement chaque processus observe a une serie de realisations du ment chaque processus observe a une serie de realisations du processus gaussien. Ces comparaisons permettent d'evaluer objectivement dans quelle mesure une tendance observee sur un graphique serait attribuable a une mauvaise specification du modele plutot qu'aux fluctuations d'echantillonnage. Ces techniques sont particulierement utiles pour l'examen de la fonction de lien ou de la forme fonctionnelle d'une covariable. Plusieurs exemples medicaux illustrent cette approche." }, { "paper": "2084493946", "venue": "73535193", "year": "2002", "title": "finite difference approximate solutions for the two dimensional burgers system", "label": [ "181330731", "2777021972", "768646", "36625806", "134306372", "28642324" ], "author": [ "2634533714", "2635407780" ], "reference": [ "156187191", "1508966369", "2064035700", "2069958995", "2083834253", "2090963365", "2104422534", "2524727395", "3185744450" ], "abstract": "abstract finite difference approximate solutions for the two dimensional burgers system which models a turbulent flow in a channel implicit euler method is applied to obtain approximate solutions existence of solutions is shown by using leray schauder fixed point theorem stability and uniqueness of the solution are also shown by judicious applications of the discrete gronwall s inequality and energy methods", "title_raw": "Finite difference approximate solutions for the two-dimensional Burgers' system", "abstract_raw": "Abstract Finite difference approximate solutions for the two-dimensional Burgers system which models a turbulent flow in a channel. Implicit Euler method is applied to obtain approximate solutions. Existence of solutions is shown by using Leray-Schauder fixed-point theorem. Stability and uniqueness of the solution are also shown by judicious applications of the discrete Gronwall's inequality and energy methods." }, { "paper": "2087671048", "venue": "99182027", "year": "2002", "title": "inertial and flow induced acoustic modes coupling in unsteady rotating cylindrical fluid filled cavities", "label": [ "85761212", "80192629", "7980502" ], "author": [ "1714054419", "1698129584", "2636019387" ], "reference": [ "1974293275", "1994105185", "2002729176", "2062163682", "2079774916", "2119483094", "2120062331", "2134066908" ], "abstract": "abstract a previous investigation has used a procedure for analyzing the transient behaviour of acoustic gyrometers providing advances in inertial acoustic theory and modelling the approximate behaviour of the coriolis acoustic modes coupling in a gyroscopic fluid filled cylindrical cavity for a very fast variation of the rotation rate of the cavity has been derived showing after the stabilization of the rotation rate of the fluid an asymptotic value of the sensitivity in good agreement with the theoretical steady state value and with the experimental result for steady rotation however the parameters which govern the transient response its shape and its characteristic stabilization time were not fully identified especially the analysis does not predict recent experimental results which show a stabilization time for the transient response of the gyro much shorter than the stabilization of the unsteady circular flow created when the walls of the cavity are set impulsively heaviside step function in rotation thus it is the aim of the present paper to investigate more deeply analytically the transient behaviour of the acoustic gyro using a revisited description for the inertial acoustic modes coupling which conveys significant improvements and introducing new features as the flow induced acoustic modes coupling neglected in the previous investigation the theoretical results are in good agreement with the experimental results now available they also permit both to interpret the physical phenomena which underlie the inertial acoustic transient process and to address requirements that have to be taken into account in the design of acoustic gyros", "title_raw": "INERTIAL- AND FLOW-INDUCED ACOUSTIC MODES COUPLING IN UNSTEADY-ROTATING CYLINDRICAL FLUID-FILLED CAVITIES", "abstract_raw": "Abstract A previous investigation has used a procedure for analyzing the transient behaviour of acoustic gyrometers, providing advances in \u201cinertial\u2013acoustic\u201d theory and modelling. The approximate behaviour of the Coriolis acoustic modes coupling in a gyroscopic fluid-filled cylindrical cavity, for a very fast variation of the rotation rate of the cavity, has been derived, showing, after the stabilization of the rotation rate of the fluid, an asymptotic value of the sensitivity in good agreement with the theoretical steady state value and with the experimental result for steady rotation. However, the parameters which govern the transient response, its shape and its characteristic stabilization time, were not fully identified. Especially, the analysis does not predict recent experimental results, which show a stabilization time for the transient response of the gyro much shorter than the stabilization of the unsteady circular flow created when the walls of the cavity are set impulsively (Heaviside step function) in rotation. Thus, it is the aim of the present paper to investigate more deeply, analytically, the transient behaviour of the acoustic gyro, using a revisited description for the inertial\u2013acoustic modes coupling which conveys significant improvements and introducing new features (as the flow-induced acoustic modes coupling) neglected in the previous investigation. The theoretical results are in good agreement with the experimental results now available; they also permit both to interpret the physical phenomena which underlie the \u201cinertial\u2013acoustic\u201d transient process and to address requirements that have to be taken into account in the design of acoustic gyros." }, { "paper": "2165731615", "venue": "115304631", "year": "2002", "title": "gabor feature based classification using the enhanced fisher linear discriminant model for face recognition", "label": [ "104906051", "137087632", "2779883129", "69738355", "31510193" ], "author": [ "2153628867", "2182147601" ], "reference": [ "1555711139", "1586420997", "1770825568", "1914401667", "1994297893", "1997011019", "2001619934", "2006500012", "2012352340", "2029683515", "2040179990", "2085207288", "2085927826", "2092537568", "2095757522", "2096044434", "2096813265", "2103384342", "2115689562", "2120954940", "2121647436", "2127530969", "2128716185", "2131273085", "2133180260", "2135192052", "2135463994", "2136405083", "2138100172", "2138451337", "2141004768", "2145889472", "2156909104", "2159686933", "2159857630", "2167034998", "2180187800" ], "abstract": "this paper introduces a novel gabor fisher 1936 classifier gfc for face recognition the gfc method which is robust to changes in illumination and facial expression applies the enhanced fisher linear discriminant model efm to an augmented gabor feature vector derived from the gabor wavelet representation of face images the novelty of this paper comes from 1 the derivation of an augmented gabor feature vector whose dimensionality is further reduced using the efm by considering both data compression and recognition generalization performance 2 the development of a gabor fisher classifier for multi class problems and 3 extensive performance evaluation studies in particular we performed comparative studies of different similarity measures applied to various classifiers we also performed comparative experimental studies of various face recognition schemes including our novel gfc method the gabor wavelet method the eigenfaces method the fisherfaces method the efm method the combination of gabor and the eigenfaces method and the combination of gabor and the fisherfaces method the feasibility of the new gfc method has been successfully tested on face recognition using 600 feret frontal face images corresponding to 200 subjects which were acquired under variable illumination and facial expressions the novel gfc method achieves 100 accuracy on face recognition using only 62 features", "title_raw": "Gabor feature based classification using the enhanced fisher linear discriminant model for face recognition", "abstract_raw": "This paper introduces a novel Gabor-Fisher (1936) classifier (GFC) for face recognition. The GFC method, which is robust to changes in illumination and facial expression, applies the enhanced Fisher linear discriminant model (EFM) to an augmented Gabor feature vector derived from the Gabor wavelet representation of face images. The novelty of this paper comes from (1) the derivation of an augmented Gabor feature vector, whose dimensionality is further reduced using the EFM by considering both data compression and recognition (generalization) performance; (2) the development of a Gabor-Fisher classifier for multi-class problems; and (3) extensive performance evaluation studies. In particular, we performed comparative studies of different similarity measures applied to various classifiers. We also performed comparative experimental studies of various face recognition schemes, including our novel GFC method, the Gabor wavelet method, the eigenfaces method, the Fisherfaces method, the EFM method, the combination of Gabor and the eigenfaces method, and the combination of Gabor and the Fisherfaces method. The feasibility of the new GFC method has been successfully tested on face recognition using 600 FERET frontal face images corresponding to 200 subjects, which were acquired under variable illumination and facial expressions. The novel GFC method achieves 100% accuracy on face recognition using only 62 features." }, { "paper": "1998519521", "venue": "40006715", "year": "2002", "title": "truss shape optimization with multiple displacement constraints", "label": [ "2778945305", "159149176", "126255220", "29513896", "21200559", "2778153524" ], "author": [ "2163798469", "2133710373", "3191935296" ], "reference": [ "126836980", "583033002", "1677824830", "1963686611", "1990735911", "2003388524", "2044657431", "2060439271", "2329061008" ], "abstract": "abstract this paper presents an evolutionary node shift method for truss shape optimization of weight minimization problems the structure is subject to multiple displacement constraints under multiple load cases nodal coordinates are the design variables based on the sensitivity analysis the optimum shape is achieved gradually from the initially under designed configuration by shifting the most efficient nodes with minimum weight increase moving directions and intervals of node shifts are determined automatically the optimum solution is checked by the kuhn tucker optimality conditions limitations of truss shape optimization are studied the feasibility and effectiveness of the method are investigated with four typical truss structures", "title_raw": "Truss shape optimization with multiple displacement constraints", "abstract_raw": "Abstract This paper presents an evolutionary node shift method for truss shape optimization of weight minimization problems. The structure is subject to multiple displacement constraints under multiple load cases. Nodal coordinates are the design variables. Based on the sensitivity analysis, the optimum shape is achieved gradually from the initially under-designed configuration by shifting the most efficient nodes with minimum weight increase. Moving directions and intervals of node shifts are determined automatically. The optimum solution is checked by the Kuhn\u2013Tucker optimality conditions. Limitations of truss shape optimization are studied. The feasibility and effectiveness of the method are investigated with four typical truss structures." }, { "paper": "2141303179", "venue": "125775545", "year": "2002", "title": "on the value of binary expansions for general mixed integer linear programs", "label": [ "166559695", "28826006", "50797617", "123558587", "118615104", "56086750", "147700949", "48372109" ], "author": [ "2134430622", "2005313928" ], "reference": [ "180443138", "1571070457", "1970193303", "2021079478", "2039648193", "2049143039", "2049505431", "2076535438", "2787523326" ], "abstract": "we study the use of binary variables in reformulating general mixed integer linear programs we show that binary reformulations result in problems for which almost all the binary variables replacing a general integer variable need to be explored during branching we also give computational results on the performance of such reformulations in solving the mixed integer programs which support our theoretical results", "title_raw": "On the Value of Binary Expansions for General Mixed-Integer Linear Programs", "abstract_raw": "We study the use of binary variables in reformulating general mixed-integer linear programs. We show that binary reformulations result in problems for which almost all the binary variables replacing a general integer variable need to be explored during branching. We also give computational results on the performance of such reformulations in solving the mixed-integer programs, which support our theoretical results." }, { "paper": "2039931775", "venue": "127742747", "year": "2002", "title": "information and entropy econometrics editor s view", "label": [ "177409962", "142611142", "106752470", "49775889", "67935508", "70567897", "182049051" ], "author": [ "2152907154" ], "reference": [ "129423020", "143258407", "147878758", "653564841", "1516900628", "1599945832", "1965555277", "1973494188", "1983874169", "1995790726", "1995875735", "2020108888", "2026584785", "2032558547", "2039474697", "2042236829", "2042587503", "2050352677", "2075642196", "2076580309", "2078645667", "2079334041", "2095304671", "2099111195", "2104930019", "2123838014", "2489507452", "2505932427", "3124305339" ], "abstract": "amos golan department of economics american university roper 200 4400 massachusetts ave nw washington dc 20016 usa", "title_raw": "Information and Entropy Econometrics\u2014Editor's View", "abstract_raw": "Amos Golan Department of Economics, American University, Roper 200, 4400 Massachusetts Ave., NW, Washington, DC 20016, USA." }, { "paper": "2025599371", "venue": "61604500", "year": "2002", "title": "exact solution of averaging procedure over the cantor set", "label": [ "149701218", "58442840", "152003226", "151201525", "36605576", "134306372", "154249771", "70654966" ], "author": [ "2306112211", "1385613298" ], "reference": [ "2065470941", "2093054243", "2120062331", "2164539400" ], "abstract": "abstract using functional equations with self similar properties we have derived the exact analytical result for convolution of a smooth function with the normalized density of the cantor set in the limit n we have proved that the self similar kernel of this convolution cannot be reduced explicitly to any product of a power and a log periodic function as suggested in literature only its asymptotic behaviour can be expressed in terms of such a product this clarifies the relationship between fractals and fractional calculus", "title_raw": "Exact solution of averaging procedure over the Cantor set", "abstract_raw": "Abstract Using functional equations with self-similar properties, we have derived the exact analytical result for convolution of a smooth function with the normalized density of the Cantor set in the limit N \u2192\u221e. We have proved that the self-similar kernel of this convolution cannot be reduced explicitly to any product of a power and a log-periodic function as suggested in literature. Only its asymptotic behaviour can be expressed in terms of such a product. This clarifies the relationship between fractals and fractional calculus." }, { "paper": "2178116779", "venue": "153560523", "year": "2002", "title": "evolutionary trees can be learned in polynomial time in the two state general markov model", "label": [ "98763669", "97074811", "106666656", "189973286", "147080032", "163836022", "54907487", "114614502", "159886148" ], "author": [ "2151927782", "2131069052", "2107753291" ], "reference": [], "abstract": "the j state general markov model of evolution due to steel is a stochastic model concerned with the evolution of strings over an alphabet of size j in particular the two state general markov model of evolution generalizes the well known cavender farris neyman model of evolution by removing the symmetry restriction which requires that the probability that a 0 turns into a 1 along an edge is the same as the probability that a 1 turns into a 0 along the edge farach and kannan showed how to probably approximately correct pac learn markov evolutionary trees in the cavender farris neyman model provided that the target tree satisfies the additional restriction that all pairs of leaves have a sufficiently high probability of being the same we show how to remove both restrictions and thereby obtain the first polynomial time pac learning algorithm in the sense of kearns et al proceedings of the 26th annual acm symposium on the theory of computing 1994 pp 273 282 for the general class of two state markov evolutionary trees", "title_raw": "Evolutionary Trees Can be Learned in Polynomial Time in the Two-State General Markov Model", "abstract_raw": "The j-state general Markov model of evolution (due to Steel) is a stochastic model concerned with the evolution of strings over an alphabet of size j. In particular, the two-state general Markov model of evolution generalizes the well-known Cavender--Farris--Neyman model of evolution by removing the symmetry restriction (which requires that the probability that a \"0\" turns into a \"1\" along an edge is the same as the probability that a \"1\" turns into a \"0\" along the edge). Farach and Kannan showed how to probably approximately correct (PAC)-learn Markov evolutionary trees in the Cavender--Farris--Neyman model provided that the target tree satisfies the additional restriction that all pairs of leaves have a sufficiently high probability of being the same. We show how to remove both restrictions and thereby obtain the first polynomial-time PAC-learning algorithm (in the sense of Kearns et al. [Proceedings of the 26th Annual ACM Symposium on the Theory of Computing, 1994, pp. 273--282]) for the general class of two-state Markov evolutionary trees." }, { "paper": "2149750995", "venue": "165651092", "year": "2002", "title": "path following analysis of thin walled structures and comparison with asymptotic post critical solutions", "label": [ "135628077", "205826798", "118299288", "132459708", "2777423538", "134306372" ], "author": [ "2034504239", "725813147", "2009555640" ], "reference": [ "1963966586", "1965853384", "1969913282", "1971227162", "1986681597", "1989871558", "1992332015", "2002630266", "2012868077", "2018873694", "2029754733", "2040976334", "2041758049", "2042662935", "2047990201", "2056076088", "2063175713", "2063535047", "2073881164", "2080758444", "2086407137", "2088357613", "2101507002", "2102163281", "2105262804", "2127009270", "2142817200", "2159536381", "2166616385", "2169561928", "2170007014", "2562533236" ], "abstract": "a path following non linear elastic analysis for structures composed of assemblages of flat slender elastic panels is presented the proposed path following method employs fem technology and a kinematical model to analyse these structures using a koiter asymptotic approach as a result it is possible to verify the accuracy achieved by the asymptotic method the proposed mixed path following formulation is both efficient and robust with regards to the locking extrapolation phenomenon that strongly affects compatible formulations the use of an hc finite element makes it possible to avoid the problem of the finite rotations in the space maintaining a high degree of continuity and making the numeric formulation simple and efficient copyright 2002 john wiley sons ltd", "title_raw": "Path\u2010following analysis of thin\u2010walled structures and comparison with asymptotic post\u2010critical solutions", "abstract_raw": "A path-following non-linear elastic analysis for structures composed of assemblages of flat slender elastic panels is presented. The proposed path-following method employs FEM technology and a kinematical model to analyse these structures using a Koiter asymptotic approach. As a result it is possible to verify the accuracy achieved by the asymptotic method. The proposed mixed path-following formulation is both efficient and robust with regards to the locking extrapolation phenomenon that strongly affects compatible formulations. The use of an HC finite element makes it possible to avoid the problem of the finite rotations in the space, maintaining a high degree of continuity and making the numeric formulation simple and efficient. Copyright \u00a9 2002 John Wiley & Sons, Ltd." }, { "paper": "2021674473", "venue": "184954342", "year": "2002", "title": "linear filtering for bilinear stochastic differential systems with unknown inputs", "label": [ "65244806", "117312493", "78045399", "205203396", "54271186", "178650346" ], "author": [ "2125692141", "2125900347", "2587860980" ], "reference": [ "168133945", "1963921091", "1970227820", "1987165244", "2003894072", "2009924226", "2016026577", "2022907087", "2024641780", "2029400609", "2069705468", "2076158645", "2105934661", "2111221533", "2113818083", "2114897575", "2116571889", "2120347155", "2125839633", "2142089368", "2142295372", "2150588865", "2153291620", "2159391054", "2169409209", "2171735384", "2174184364", "2181056773", "2561257242" ], "abstract": "investigates the problem of state estimation for bilinear stochastic multivariable differential systems in the presence of an additional disturbance whose statistics are completely unknown a linear filter is proposed based on a suitable decomposition of the state of the bilinear system into two components the first one is a computable function of the observations while the second component is estimated via a suitable linear filtering algorithm no a priori information on the disturbance is required for the filter implementation the proposed filter is robust with respect to the unknown input in that the covariance of the estimation error is not affected by such input numerical simulations show the effectiveness of the proposed filter", "title_raw": "Linear filtering for bilinear stochastic differential systems with unknown inputs", "abstract_raw": "Investigates the problem of state estimation for bilinear stochastic multivariable differential systems in the presence of an additional disturbance, whose statistics are completely unknown.. A linear filter is proposed, based on a suitable decomposition of the state of the bilinear system into two components. The first one is a computable function of the observations while the second component is estimated via a suitable linear filtering algorithm. No a priori information on the disturbance is required for the filter implementation. The proposed filter is robust with respect to the unknown input, in that the covariance of the estimation error is not affected by such input. Numerical simulations show the effectiveness of the proposed filter." }, { "paper": "2101116262", "venue": "24688465", "year": "2002", "title": "optimal prediction with memory", "label": [ "2776171476", "186215838", "121770821", "149441793", "158622935", "134306372", "201362023", "53744967", "28826006" ], "author": [ "2184590390", "2250860778", "2009135560" ], "reference": [ "160001773", "1480995589", "1497509534", "1517611564", "1527296550", "1549220217", "1580334350", "1596416914", "1597531255", "1659282975", "1912930600", "1968716084", "1969190169", "1986585913", "2009447971", "2036798319", "2038417508", "2048952562", "2080705033", "2124138287", "2160695687", "2164193727", "2171367752" ], "abstract": "abstract optimal prediction methods estimate the solution of nonlinear time dependent problems when that solution is too complex to be fully resolved or when data are missing the initial conditions for the unresolved components of the solution are drawn from a probability distribution and their effect on a small set of variables that are actually computed is evaluated via statistical projection the formalism resembles the projection methods of irreversible statistical mechanics supplemented by the systematic use of conditional expectations and new methods of solution for an auxiliary equation the orthogonal dynamics equation needed to evaluate a non markovian memory term the result of the computations is close to the best possible estimate that can be obtained given the partial data we present the constructions in detail together with several useful variants provide simple examples and point out the relation to the fluctuation dissipation formulas of statistical physics", "title_raw": "Optimal prediction with memory", "abstract_raw": "Abstract Optimal prediction methods estimate the solution of nonlinear time-dependent problems when that solution is too complex to be fully resolved or when data are missing. The initial conditions for the unresolved components of the solution are drawn from a probability distribution, and their effect on a small set of variables that are actually computed is evaluated via statistical projection. The formalism resembles the projection methods of irreversible statistical mechanics, supplemented by the systematic use of conditional expectations and new methods of solution for an auxiliary equation, the orthogonal dynamics equation, needed to evaluate a non-Markovian memory term. The result of the computations is close to the best possible estimate that can be obtained given the partial data. We present the constructions in detail together with several useful variants, provide simple examples, and point out the relation to the fluctuation\u2013dissipation formulas of statistical physics." }, { "paper": "2160337655", "venue": "168680287", "year": "2002", "title": "a tutorial on particle filters for online nonlinear non gaussian bayesian tracking", "label": [ "52483021", "126255220", "52740198", "157286648", "206833254", "19499675" ], "author": [ "2712277790", "2072118165", "2115943715", "2696044565" ], "reference": [ "57828412", "95577512", "116417043", "1509783656", "1511046757", "1514443597", "1556815202", "1578685895", "1749494163", "1852865843", "1864720896", "1963718895", "1972791196", "1977569390", "1997253917", "2036323349", "2063763279", "2064480843", "2077611006", "2082542916", "2098613108", "2099544223", "2105594594", "2106040279", "2110370029", "2111099383", "2114558202", "2122512809", "2124156864", "2125838338", "2126736494", "2129078811", "2131598171", "2137345842", "2142384583", "2151926297", "2165609874", "2168634963", "2615953416" ], "abstract": "increasingly for many application areas it is becoming important to include elements of nonlinearity and non gaussianity in order to model accurately the underlying dynamics of a physical system moreover it is typically crucial to process data on line as it arrives both from the point of view of storage costs as well as for rapid adaptation to changing signal characteristics in this paper we review both optimal and suboptimal bayesian algorithms for nonlinear non gaussian tracking problems with a focus on particle filters particle filters are sequential monte carlo methods based on point mass or particle representations of probability densities which can be applied to any state space model and which generalize the traditional kalman filtering methods several variants of the particle filter such as sir asir and rpf are introduced within a generic framework of the sequential importance sampling sis algorithm these are discussed and compared with the standard ekf through an illustrative example", "title_raw": "A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking", "abstract_raw": "Increasingly, for many application areas, it is becoming important to include elements of nonlinearity and non-Gaussianity in order to model accurately the underlying dynamics of a physical system. Moreover, it is typically crucial to process data on-line as it arrives, both from the point of view of storage costs as well as for rapid adaptation to changing signal characteristics. In this paper, we review both optimal and suboptimal Bayesian algorithms for nonlinear/non-Gaussian tracking problems, with a focus on particle filters. Particle filters are sequential Monte Carlo methods based on point mass (or \"particle\") representations of probability densities, which can be applied to any state-space model and which generalize the traditional Kalman filtering methods. Several variants of the particle filter such as SIR, ASIR, and RPF are introduced within a generic framework of the sequential importance sampling (SIS) algorithm. These are discussed and compared with the standard EKF through an illustrative example." }, { "paper": "2123581496", "venue": "4502562", "year": "2002", "title": "an efficient universal prediction algorithm for unknown sources with limited training data", "label": [ "90119067", "11413529", "181789720", "98763669", "70567897", "122044880", "159886148", "77553402" ], "author": [ "1793912546" ], "reference": [ "1520471750", "2098582547", "2115413612", "2118991533" ], "abstract": "inspired by c e shannon s celebrated paper prediction and entropy of printed english 1951 we consider the optimal prediction error for unknown finite alphabet ergodic markov sources for prediction algorithms that make inference about the most probable incoming letter where the distribution of the unknown source is apparent only via a short training sequence of n 1 letters we allow n to be a polynomial function of k the order of the markov source rather than the classical case where n is allowed to be exponential in k a lower bound on the prediction error is formulated for such universal prediction algorithms that are based on suffixes that were observed somewhere in the past training sequence x sub n sup 1 i e it is assumed that the universal predictor given the past n 1 sequence which serves as a training sequence is no better than the optimal predictor given only the longest suffix that appeared somewhere in the past x sub n sup 1 vector for a class of stationary markov sources which includes all markov sources with positive transition probabilities a particular universal predictor is introduced and it is demonstrated that its performance is optimal in the sense that it yields a prediction error which is close to the lower bound on the universal prediction error with limited training data the results are nonasymptotic in the sense that they express the effect of limited training data on the efficiency of universal predictors an asymptotically optimal universal predictor which is based on pattern matching appears elsewhere in the literature however the prediction error of these algorithms does not necessarily come close to the lower bound in the nonasymptotic region", "title_raw": "An efficient universal prediction algorithm for unknown sources with limited training data", "abstract_raw": "Inspired by C. E. Shannon's celebrated paper: \"Prediction and entropy of printed English\" (1951), we consider the optimal prediction error for unknown finite-alphabet ergodic Markov sources, for prediction algorithms that make inference about the most probable incoming letter, where the distribution of the unknown source is apparent only via a short training sequence of N + 1 letters. We allow N to be a polynomial function of K, the order of the Markov source, rather than the classical case where N is allowed to be exponential in K. A lower bound on the prediction error is formulated for such universal prediction algorithms, that are based on suffixes that were observed somewhere in the past \"training sequence\" X/sub -N//sup -1/ (i.e. it is assumed that the universal predictor, given the past (N + 1)-sequence which serves as a training sequence is no better than the optimal predictor given only the longest suffix that appeared somewhere in the past X/sub -N//sup -1/ vector). For a class of stationary Markov sources (which includes all Markov sources with positive transition probabilities), a particular universal predictor is introduced, and it is demonstrated that its performance is \"optimal\" in the sense that it yields a prediction error which is close to the lower bound on the universal prediction error, with limited training data. The results are nonasymptotic in the sense that they express the effect of limited training data on the efficiency of universal predictors. An asymptotically optimal universal predictor which is based on pattern matching appears elsewhere in the literature. However, the prediction error of these algorithms does not necessarily come close to the lower bound in the nonasymptotic region." }, { "paper": "2052078011", "venue": "51360982", "year": "2002", "title": "brief hybrid state estimation a target tracking application", "label": [ "2777798563", "20589650", "128981478", "65244806" ], "author": [ "1832383889", "2467746826" ], "reference": [ "1538006934", "1568122762", "1600122642", "2023671716", "2042296034", "2065212961", "2097009900", "2097210164", "2098613108", "2112323862", "2156096110", "2160337655", "2162330514" ], "abstract": "in this paper we present a framework in which the general hybrid filtering or state estimation problem can be formulated the problem of joint tracking and classification can be formulated in this framework as well as the problem of multiple model filtering with additional mode observations in this formulation the state vector is decomposed into a continuous kinematic component and a discrete mode and or class component we also suppose that there are two types of measurements measurements that are related to the continuous part of the state e g bearing and range measurements in a radar application and measurements that are related to the discrete part of the state e g radar cross section measurements we will derive an optimal filter for this problem and will show how this filter can be implemented numerically", "title_raw": "Brief Hybrid state estimation: a target tracking application", "abstract_raw": "In this paper we present a framework in which the general hybrid filtering or state estimation problem can be formulated. The problem of joint tracking and classification can be formulated in this framework as well as the problem of multiple model filtering with additional mode observations. In this formulation the state vector is decomposed into a continuous (kinematic) component and a discrete (mode and/or class) component. We also suppose that there are two types of measurements. Measurements that are related to the continuous part of the state (e.g. bearing and range measurements in a radar application) and measurements that are related to the discrete part of the state (e.g. radar cross-section measurements). We will derive an optimal filter for this problem and will show how this filter can be implemented numerically." }, { "paper": "1989537192", "venue": "103321696", "year": "2002", "title": "pseudo criteria versus linear utility function in stochastic multi criteria acceptability analysis", "label": [ "126255220", "156201811", "188222737", "84839998", "149441793", "2779413570", "28901747" ], "author": [ "176762886", "1964432064" ], "reference": [ "44381887", "270664687", "363447480", "587880919", "1516964807", "1552174551", "1966434644", "1978820450", "1984565147", "1986808060", "1989134855", "2000508545", "2014626836", "2015648803", "2035211081", "2049225148", "2056544197", "2070884262", "2077535409", "2080188202", "2083624225", "2161149459", "2168936936", "2620650628" ], "abstract": "abstract stochastic multi criteria acceptability analysis smaa is a multi criteria decision support method for multiple decision makers dms in discrete problems smaa does not require explicit or implicit preference information from the dms instead the method is based on exploring the weight space in order to describe the valuations that would make each alternative the preferred one partial preference information can be represented in the weight space analysis through weight distributions in this paper we compare two variants of the smaa method using randomly generated test problems with 2 12 criteria and 4 12 alternatives in the original smaa a utility or value function models the dms preference structure and the inaccuracy or uncertainty of the criteria is represented by probability distributions in smaa 3 electre iii type pseudo criteria are used instead both methods compute for each alternative an acceptability index measuring the variety of different valuations that supports this alternative and a central weight vector representing the typical valuations resulting in this decision we seek answers to three questions 1 how similar are the results provided by the decision models 2 what kind of systematic differences exists between the models and 3 how could one select indifference and preference thresholds of the pseudo criteria model to match a utility model with given probability distributions", "title_raw": "Pseudo-criteria versus linear utility function in stochastic multi-criteria acceptability analysis", "abstract_raw": "Abstract Stochastic multi-criteria acceptability analysis (SMAA) is a multi-criteria decision support method for multiple decision-makers (DMs) in discrete problems. SMAA does not require explicit or implicit preference information from the DMs. Instead, the method is based on exploring the weight space in order to describe the valuations that would make each alternative the preferred one. Partial preference information can be represented in the weight space analysis through weight distributions. In this paper we compare two variants of the SMAA method using randomly generated test problems with 2\u201312 criteria and 4\u201312 alternatives. In the original SMAA, a utility or value function models the DMs' preference structure, and the inaccuracy or uncertainty of the criteria is represented by probability distributions. In SMAA-3, ELECTRE III-type pseudo-criteria are used instead. Both methods compute for each alternative an acceptability index measuring the variety of different valuations that supports this alternative, and a central weight vector representing the typical valuations resulting in this decision. We seek answers to three questions: (1) how similar are the results provided by the decision models, (2) what kind of systematic differences exists between the models, and (3) how could one select indifference and preference thresholds of the pseudo-criteria model to match a utility model with given probability distributions?" }, { "paper": "2001402429", "venue": "99182027", "year": "2002", "title": "subjective preference for sound sources located on the stage and in the orchestra pit of an opera house", "label": [ "2781043087", "2781249084" ], "author": [ "2807690270", "2329015893", "1102806550" ], "reference": [ "657759297", "1509344143", "1976364128", "1977281150", "1985992961", "1989977036", "1997056611", "2001732592", "2022029457", "2033442452", "2047935397", "2072892414", "3143413264" ], "abstract": "abstract the present study investigates whether the subjective preference theory can be applied to the sound field in an opera house paired comparison tests were conducted to obtain scale values of subjective preference as the source locations of the music on the stage and in the orchestra pit were moved listeners were asked to give their acoustical preference the acoustical factors at each listening position were obtained from the interaural cross correlation function and binaural impulse responses measured at each listening position the relationship between the scale values of subjective preference and orthogonal acoustical factors ll iacc iacc t1 for the pit source t1 for the stage tsub for the pit source and tsub for the stage source was determined by using factor analysis which shows that the preference theory is applicable total scores obtained from factor analysis and measured scale values are in good agreement", "title_raw": "SUBJECTIVE PREFERENCE FOR SOUND SOURCES LOCATED ON THE STAGE AND IN THE ORCHESTRA PIT OF AN OPERA HOUSE", "abstract_raw": "Abstract The present study investigates whether the subjective preference theory can be applied to the sound field in an opera house. Paired-comparison tests were conducted to obtain scale values of subjective preference. As the source locations of the music on the stage and in the orchestra pit were moved, listeners were asked to give their acoustical preference. The acoustical factors at each listening position were obtained from the interaural cross-correlation function and binaural impulse responses measured at each listening position. The relationship between the scale values of subjective preference and orthogonal acoustical factors (LL, IACC, \u03c4IACC, \u0394t1 for the pit source, \u0394t1 for the stage, Tsub for the pit source, and Tsub for the stage source) was determined by using factor analysis, which shows that the preference theory is applicable. Total scores obtained from factor analysis and measured scale values are in good agreement." }, { "paper": "1981478964", "venue": "184147796", "year": "2002", "title": "almost split sequences for comodules", "label": [ "41608201", "37724570", "2778249326", "157480366", "2780377726", "128107574", "9652623", "118615104", "114614502", "2777423538" ], "author": [ "2436755403", "2292281422", "2952047052" ], "reference": [ "87028024", "219126654", "1508012520", "1964172127", "2015003729", "2015411089", "2063412837", "2077557640", "2081085222", "2120713972", "2913058696", "3043060850" ], "abstract": "abstract let be a coalgebra over a field k we introduce an operator tr that takes a right quasi finitely copresented comodule m to a left quasi finitely copresented comodule tr m if m is indecomposable not injective and tr m is finite dimensional over k we prove the existence of an almost split sequence 0 m e dtr m 0 in the category of all right comodules where d homk k if is right semiperfect and the embedding of each simple right comodule s into its injective envelope i s has the property that the socle of i s s is finite dimensional the above almost split sequence exists for each finite dimensional m and dtr m is also finite dimensional", "title_raw": "Almost Split Sequences for Comodules", "abstract_raw": "Abstract Let \u0393 be a coalgebra over a field k. We introduce an operator Tr that takes a right quasi-finitely copresented \u0393-comodule M to a left quasi-finitely copresented \u0393-comodule Tr M. If M is indecomposable not injective and Tr M is finite-dimensional over k, we prove the existence of an almost split sequence 0\u00a0\u2192\u00a0M\u00a0\u2192\u00a0E\u00a0\u2192\u00a0DTr M\u00a0\u2192\u00a00 in the category of all right \u0393-comodules, where D\u00a0=\u00a0 Homk( ,\u00a0k). If \u0393 is right semiperfect and the embedding of each simple right comodule S into its injective envelope I(S) has the property that the socle of I(S)/S is finite-dimensional, the above almost split sequence exists for each finite-dimensional M, and DTr M is also finite-dimensional." }, { "paper": "2034182704", "venue": "165473669", "year": "2002", "title": "stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings", "label": [ "177148314", "134306372", "158622935", "36625806", "182310444", "144618667" ], "author": [ "2086379320", "2123871135" ], "reference": [ "204265738", "829878778", "1920773652", "1983108430", "1998334800", "2001703461", "2001819970", "2004993859", "2007448250", "2069627726", "2077183435", "2080319134", "2142063750", "2608057116", "2620627270", "2731281001" ], "abstract": "we consider first the scattering problem of electromagnetic waves by thin coatings that are formed by linear materials we describe through an asymptotic study the formal derivation of thin layer approximations called effective boundary conditions we then discuss the stability in time of the new initial boundary value problems we give in the last part a generalization to nonlinear coatings of ferromagnetic type", "title_raw": "Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings", "abstract_raw": "We consider first the scattering problem of electromagnetic waves by thin coatings that are formed by linear materials. We describe, through an asymptotic study, the formal derivation of thin layer approximations, called effective boundary conditions. We then discuss the stability in time of the new initial boundary value problems. We give in the last part a generalization to nonlinear coatings of ferromagnetic type." }, { "paper": "2153409886", "venue": "184954342", "year": "2002", "title": "extremum seeking control for discrete time systems", "label": [ "81299745", "43656286", "121152540", "65244806", "36625806", "55689738", "91575142", "158622935" ], "author": [ "2807071617", "2008124391", "164594739", "2872474362" ], "reference": [ "2095062552", "2114570773", "2120677931", "2124646895", "2143919282", "2148715659", "2162517722" ], "abstract": "we present an extremum seeking control algorithm for discrete time systems applied to a class of plants that are represented as a series combination of a linear input dynamics a static nonlinearity with an extremum and a linear output dynamics by using the two time scale averaging theory we derive a mild sufficient condition under which the plant output exponentially converges to an o spl alpha sup 2 neighborhood of the extremum value where spl alpha is the magnitude of modulation signal the sufficient condition is related to positive realness of linear parts of the plant but only at the modulation frequency the algorithm is illustrated with a brief simulation study", "title_raw": "Extremum seeking control for discrete-time systems", "abstract_raw": "We present an extremum seeking control algorithm for discrete-time systems applied to a class of plants that are represented as a series combination of a linear input dynamics, a static nonlinearity with an extremum, and a linear output dynamics. By using the two-time scale averaging theory, we derive a mild sufficient condition under which the plant output exponentially converges to an O(/spl alpha//sup 2/) neighborhood of the extremum value, where /spl alpha/ is the magnitude of modulation signal. The sufficient condition is related to positive realness of linear parts of the plant but only at the modulation frequency. The algorithm is illustrated with a brief simulation study." }, { "paper": "2142753998", "venue": "4502562", "year": "2002", "title": "a note on self dual group codes", "label": [ "194601146", "114614502", "67536143", "57637645", "172331165", "48756202", "182349385", "128622974", "26204071" ], "author": [ "2169061219" ], "reference": [ "598240138", "598564470", "1490335755", "1973174922", "2032621156", "2039727053", "2053789337", "2056903967", "2058386696", "2066263376", "2069531757", "2168674495", "2485369542", "3141403705" ], "abstract": "we classify group algebras over galois rings containing self dual ideals i e ideals c which satisfy c c sup spl perp with respect to the natural nondegenerate bilinear form given on group algebras", "title_raw": "A note on self-dual group codes", "abstract_raw": "We classify group algebras over Galois rings containing self-dual ideals; i.e., ideals C which satisfy C = C/sup /spl perp// with respect to the natural nondegenerate bilinear form given on group algebras." }, { "paper": "2054239770", "venue": "35412551", "year": "2002", "title": "anomalous diffusion in nonlinear oscillators with multiplicative noise", "label": [ "112633086", "134306372", "99844830" ], "author": [ "2514231592", "2306997096" ], "reference": [ "1469124044", "1521645495", "2102787760", "2114849571", "2120062331", "2158374803" ], "abstract": "the time asymptotic behavior of undamped nonlinear oscillators with a random frequency is investigated analytically and numerically we find that averaged quantities of physical interest such as the oscillator s mechanical energy root mean square position and velocity grow algebraically with time the scaling exponents and associated generalized diffusion constants are calculated when the oscillator s potential energy grows as a power of its position u x approximately x 2n for x infinity correlated noise yields anomalous diffusion exponents equal to half the value found for white noise", "title_raw": "Anomalous diffusion in nonlinear oscillators with multiplicative noise.", "abstract_raw": "The time-asymptotic behavior of undamped, nonlinear oscillators with a random frequency is investigated analytically and numerically. We find that averaged quantities of physical interest such as the oscillator's mechanical energy, root-mean-square position, and velocity grow algebraically with time. The scaling exponents and associated generalized diffusion constants are calculated when the oscillator's potential energy grows as a power of its position: U(x) approximately x(2n) for |x|--> infinity. Correlated noise yields anomalous diffusion exponents equal to half the value found for white noise." }, { "paper": "1966394175", "venue": "79244937", "year": "2002", "title": "self averaging in finite random copolymers", "label": [ "135789939", "118615104", "2779291695", "48406656" ], "author": [ "2125950164", "2092663100" ], "reference": [ "1486613786", "1551519020", "1965399019", "1976736848", "1977457006", "1987625929", "1999678910", "2024823441", "2026192181", "2034300079", "2042082497", "2077861401", "2167995602", "2316600135", "2799064745", "3015241628" ], "abstract": "we investigate how martingale techniques can be used to derive information on the extent of self averaging of the free energy for some lattice models of finite random copolymers", "title_raw": "Self-averaging in finite random copolymers", "abstract_raw": "We investigate how martingale techniques can be used to derive information on the extent of self-averaging of the free energy for some lattice models of finite random copolymers." }, { "paper": "3123698889", "venue": "100601982", "year": "2002", "title": "unitary representations of uq 2 \u211d the modular double and the multiparticle q deformed toda chain", "label": [ "202444582", "176423456", "2776122010", "128295302", "166285240", "148647251", "185503591", "197273675", "187915474" ], "author": [ "2631185839", "2635802038", "2473763561" ], "reference": [ "24569106", "99385604", "185924885", "195549681", "991283358", "1618403177", "1666120112", "1956128877", "1968809150", "1974072845", "1986980159", "1988816516", "1994658674", "2008052995", "2012818584", "2023627260", "2033615778", "2039759240", "2039943456", "2040535684", "2055353479", "2061922573", "2091989222", "2107594894", "2122047152", "2135685269", "2149047716", "2282106977", "2283695081", "2476539100", "2950560783", "2990009437", "2998406517", "3037502759", "3098870879", "3102788912" ], "abstract": "the paper deals with the analytic theory of the quantum q deformed toda chains the technique used combines the methods of representation theory and the quantum inverse scattering method the key phenomenon which is under scrutiny is the role of the modular duality concept first discovered by l faddeev in the representation theory of noncompact semisimple quantum groups explicit formulae for the whittaker vectors are presented in terms of the double sine functions and the wave functions of the n particle q deformed open toda chain are given as a multiple integral of the mellin barnes type for the periodic chain the two dual baxter equations are derived", "title_raw": "Unitary Representations of Uq(??}(2,\u211d)),\u00b6the Modular Double and the Multiparticle q-Deformed\u00b6Toda Chain", "abstract_raw": "The paper deals with the analytic theory of the quantum q-deformed Toda chains; the technique used combines the methods of representation theory and the Quantum Inverse Scattering Method. The key phenomenon which is under scrutiny is the role of the modular duality concept (first discovered by L. Faddeev) in the representation theory of noncompact semisimple quantum groups. Explicit formulae for the Whittaker vectors are presented in terms of the double sine functions and the wave functions of the N-particle q-deformed open Toda chain are given as a multiple integral of the Mellin\u2013Barnes type. For the periodic chain the two dual Baxter equations are derived." }, { "paper": "1836175879", "venue": "204847658", "year": "2002", "title": "multiscaling pulse representation of temporal rainfall", "label": [ "168110828", "105795698", "133905733", "58442840", "99844830", "44563069", "151201525", "20589650" ], "author": [ "1978497694", "70836327" ], "reference": [ "1676472489", "1966753877", "1968600152", "1968881024", "1976650623", "1987498538", "1987666533", "1990451443", "1993506317", "2001440951", "2002596522", "2005610813", "2008313676", "2021085271", "2023639831", "2033912632", "2036205444", "2039182842", "2040499568", "2041421296", "2051614708", "2061032616", "2064380753", "2073191948", "2078445710", "2082807598", "2083660765", "2086735281", "2086950433", "2106505705", "2127590065", "2154930823", "2526606509", "2989624916" ], "abstract": "1 we develop a pulse based representation of temporal rainfall with multifractal properties in the small scale limit the representation combines a traditional model for the exterior process at the synoptic scale with a novel hierarchical pulse model for the event interiors for validation we apply the model to a temporal rainfall record from florence italy although the model has only six parameters four for the exterior process and two for the event interiors it accurately reproduces a wide range of empirical statistics including the distribution of dry and wet periods the distribution of rainfall intensity up to extreme fractiles the spectral density the moment scaling function k q and the distribution of the partition coefficients for rainfall disaggregation the model also reproduces observed deviations of physical rainfall from perfect scaling multiscaling behavior", "title_raw": "Multiscaling pulse representation of temporal rainfall", "abstract_raw": "[1]\u00a0We develop a pulse-based representation of temporal rainfall with multifractal properties in the small-scale limit. The representation combines a traditional model for the exterior process at the synoptic scale with a novel hierarchical pulse model for the event interiors. For validation we apply the model to a temporal rainfall record from Florence, Italy. Although the model has only six parameters (four for the exterior process and two for the event interiors), it accurately reproduces a wide range of empirical statistics, including the distribution of dry and wet periods, the distribution of rainfall intensity up to extreme fractiles, the spectral density, the moment scaling function K(q), and the distribution of the partition coefficients for rainfall disaggregation. The model also reproduces observed deviations of physical rainfall from perfect scaling/multiscaling behavior." }, { "paper": "2060447652", "venue": "151579836", "year": "2002", "title": "solutions of fractional multi order integral and differential equations using a poisson type transform", "label": [ "202444582", "27016315", "134306372", "154249771", "78045399", "51544822", "70915906", "8077415", "197320386", "21965488" ], "author": [ "2575176133", "1846049329", "2170751240" ], "reference": [ "28684356", "110583897", "167939960", "1530054495", "1559873805", "1599013339", "1779703360", "1964684947", "1974945857", "2013450975", "2027829559", "2065774563", "2084535888", "2095214881", "2320778271", "2332131336", "2488968130", "2787959293" ], "abstract": "abstract we consider a wide class of integral and ordinary differential equations of fractional multi orders 1 1 1 2 1 m depending on arbitrary parameters i 0 i r i 1 m denoting the differentiation operators by d d i i and by l l i i the corresponding integrations operators right inverse to d we first observe that d and l can be considered as operators of the generalized fractional calculus respectively as generalized fractional derivatives and integrals a solution of the homogeneous ode of this kind d y z y z 0 0 is the recently introduced multi index mittag leffler function e 1 i i z we find a poisson type integral transformation p generalizing the classical poisson integral formula that maps the cosm function into the multi index mittag leffler function and also transforms the simpler differentiation and integration operators of integer order m 1 dm d dz m and lm the m fold integration into the operators d and l thus from the known solution of the volterra type integral equation with the m fold integration lm via p as a transformation transmutation operator we find the corresponding solution of the integral equation y z l z f z then a solution of the fractional multi order differential equation d y z y z f z comes out in an explicit form as a series of integrals involving fox s h functions for each particularly chosen r h s function f z such a solution can be evaluated as an h function special cases of the equations considered here lead to solutions in terms of the mittag leffler bessel struve lommel and hyper bessel functions and some other known generalized hypergeometric functions", "title_raw": "Solutions of fractional multi-order integral and differential equations using a Poisson-type transform", "abstract_raw": "Abstract We consider a wide class of integral and ordinary differential equations of fractional multi-orders (1/\u03c11,1/\u03c12,\u2026,1/\u03c1m), depending on arbitrary parameters \u03c1i>0, \u03bc i \u2208 R , i=1,\u2026,m. Denoting the \u201cdifferentiation\u201d operators by D =D (\u03c1 i ),(\u03bc i ) , and by L =L (\u03c1 i ),(\u03bc i ) the corresponding \u201cintegrations\u201d (operators right inverse to\u00a0 D ), we first observe that D and L can be considered as operators of the generalized fractional calculus, respectively\u2014as generalized fractional \u201cderivatives\u201d and \u201cintegrals.\u201d A solution of the homogeneous ODE of this kind, D y(z)=\u03bby(z), \u03bb\u22600, 0 is the recently introduced \u201cmulti-index Mittag-Leffler function\u201d E(1/\u03c1i),(\u03bci)(\u03bbz). We find a Poisson-type integral transformation P (generalizing the classical Poisson integral formula) that maps the cosm-function into the multi-index Mittag-Leffler function, and also transforms the simpler differentiation and integration operators of integer order m>1: Dm=(d/dz)m and lm (the m-fold integration) into the operators D and L . Thus, from the known solution of the Volterra-type integral equation with the m-fold integration lm, via P as a transformation (transmutation) operator, we find the corresponding solution of the integral equation y(z)\u2212\u03bb L (z)=f(z) . Then, a solution of the fractional multi-order differential equation D y(z)\u2212\u03bby(z)=f(z) comes out, in an explicit form, as a series of integrals involving Fox's H-functions. For each particularly chosen R.H.S. function f(z), such a solution can be evaluated as an H-function. Special cases of the equations considered here, lead to solutions in terms of the Mittag-Leffler, Bessel, Struve, Lommel and hyper-Bessel functions, and some other known generalized hypergeometric functions." }, { "paper": "2036249868", "venue": "159544283", "year": "2002", "title": "convex trace functions of several variables", "label": [ "114460028", "58442840", "114614502", "12108790", "205107259", "145446738", "136719777", "36503486", "25830464", "118615104" ], "author": [ "2158976216" ], "reference": [ "255775118", "1571989874", "1691106616", "2067176773", "2074082380" ], "abstract": "we prove that the function x1 xk tr f x1 xk defined on k tuples of symmetric matrices of order n1 nk in the domain of f is convex for any convex function f of k variables the matrix f x1 xk is defined by the functional calculus for functions of several variables and it is symmetric and of order n1 nk", "title_raw": "Convex trace functions of several variables", "abstract_raw": "We prove that the function (x1,\u2026,xk)\u2192Tr(f(x1,\u2026,xk)), defined on k-tuples of symmetric matrices of order (n1,\u2026,nk) in the domain of f, is convex for any convex function f of k variables. The matrix f(x1,\u2026,xk) is defined by the functional calculus for functions of several variables, and it is symmetric and of order n1,\u2026,nk." }, { "paper": "2010192090", "venue": "90727058", "year": "2002", "title": "on the lattice of prefix codes", "label": [ "135789939", "118615104", "157125643", "153269930", "114614502", "20079647", "205612216" ], "author": [ "1995084502", "2162265676" ], "reference": [ "196919032", "1968377642", "2011933258", "2041044353", "2042105518" ], "abstract": "the natural correspondence between prefix codes and trees is explored generalizing the results obtained in giammarresi et al theoret comput sci 205 1998 1459 for the lattice of finite trees under division and the lattice of finite maximal prefix codes joins and meets of prefix codes are studied in this light in connection with such concepts as finiteness maximality and varieties of rational languages decidability results are obtained for several problems involving rational prefix codes including the solution to the primeness problem", "title_raw": "On the lattice of prefix codes", "abstract_raw": "The natural correspondence between prefix codes and trees is explored, generalizing the results obtained in Giammarresi et al. (Theoret. Comput. Sci. 205 (1998) 1459) for the lattice of finite trees under division and the lattice of finite maximal prefix codes. Joins and meets of prefix codes are studied in this light in connection with such concepts as finiteness, maximality and varieties of rational languages. Decidability results are obtained for several problems involving rational prefix codes, including the solution to the primeness problem." }, { "paper": "2019707861", "venue": "24688465", "year": "2002", "title": "global superheating field for superconductors in a large bounded interval", "label": [ "34388435", "194127275", "17539733", "134306372" ], "author": [ "2468026820", "2248057960" ], "reference": [ "628731430", "1536060099", "1645807286", "1970169696", "1993215252", "1995617038", "2018449838", "2027101637", "2034996539", "2064699565", "2102399783", "2122962693", "2128298543", "2146763665", "2148174561", "2198169988", "2277177778", "2479780056", "2522071273" ], "abstract": "abstract in continuation of our study of the ginzburg landau equations we study the asymptotic behavior of the superheating field for a film of width 2d in the regime small d large where is the ginzburg landau parameter using new estimates on the inner magnetic potential we improve our conditions on the parameter d and we prove that the local superheating field analyzed in our preceding paper c bolley f foucher b helffer superheating field for the ginzburg landau equations in the case of a large bounded interval j math phys 41 11 2000 7263 7289 is a global one in the regime and d large we also give accurate estimates on the superheating field", "title_raw": "Global superheating field for superconductors in a large bounded interval", "abstract_raw": "Abstract In continuation of our study of the Ginzburg\u2013Landau equations, we study the asymptotic behavior of the superheating field for a film of width 2d in the regime \u03ba small, \u03bad large, where \u03ba is the Ginzburg\u2013Landau parameter. Using new estimates on the inner magnetic potential, we improve our conditions on the parameter \u03bad and we prove that the local superheating field analyzed in our preceding paper [C. Bolley, F. Foucher, B. Helffer, Superheating field for the Ginzburg\u2013Landau equations in the case of a large bounded interval, J. Math. Phys. 41 (11) (2000) 7263\u20137289] is a global one. In the regime \u03ba and d large, we also give accurate estimates on the superheating field." }, { "paper": "2963574788", "venue": "62223294", "year": "2002", "title": "almost holomorphic embeddings in grassmannians with applications to singular symplectic submanifolds", "label": [ "95857938", "90673727", "204575570", "41608201", "130190758", "202444582", "144618667", "20060776", "168619227" ], "author": [ "2138100981", "2497558911", "1996664215" ], "reference": [ "143610294", "395117528", "1511378139", "1515192744", "1533759935", "1564862916", "1592565003", "1653920623", "1969388153", "1987075624", "1995314769", "2043967489", "2082051710", "2082509446", "2113015983", "2601686991" ], "abstract": "in this paper we use donaldson s approximately holomorphic techniques to build embeddings of a closed symplectic manifold with symplectic form of integer class in the grassmannians gr r n we assure that these embeddings are asymptotically holomorphic in a precise sense we study first the particular case of cpn obtaining control on n and we improve in a sense a classical result about symplectic embeddings the main reason of our study is the construction of singular determinantal submanifolds as the intersection of the embedding with certain generalized schubert cycles defined on a product of grassmannians it is shown that the symplectic type of these submanifolds is quite more general that the ones obtained by donaldson and auroux as zeroes of very ample vector bundles", "title_raw": "Almost holomorphic embeddings in Grassmannians with applications to singular symplectic submanifolds", "abstract_raw": "In this paper we use Donaldson's approximately holomorphic techniques to build embeddings of a closed symplectic manifold with symplectic form of integer class in the Grassmannians Gr(r, N). We assure that these embeddings are asymptotically holomorphic in a precise sense. We study first the particular case of CPN obtaining control on N and we improve in a sense a classical result about symplectic embeddings. The main reason of our Study is the construction of singular determinantal submanifolds as the intersection of the embedding with certain \"generalized Schubert cycles\" defined on a product of Grassmannians. It is shown that the symplectic type of these submanifolds is quite more general that the ones obtained by Donaldson and Auroux,as zeroes of \"very ample\" vector bundles." }, { "paper": "1981828533", "venue": "77200987", "year": "2002", "title": "hidden invariances in problems of two dimensional and three dimensional wall jets for newtonian and non newtonian fluids", "label": [ "3445786", "134306372" ], "author": [ "2717745237", "3037018773" ], "reference": [ "34126534", "612538216", "1573927207", "1607071030", "1955897908", "1963839933", "1966674513", "1967880711", "1967980242", "1968735305", "1978882646", "1978967205", "1983280528", "1988043448", "1997227786", "2004099451", "2008522166", "2024264188", "2027697085", "2031104857", "2031655782", "2034063402", "2043840121", "2045139142", "2045825402", "2053672909", "2056642028", "2060647247", "2069383197", "2072043211", "2073604578", "2095821808", "2107134442", "2136349261", "2149557743", "2170120191", "2171488123", "2461750160", "2983319286", "2993568021", "3022610447", "3036618640", "3048197526", "3141151088" ], "abstract": "this work is devoted to the investigation of self similar solutions for steady wall jets the problem is considered in the context of two and three dimensional prandtl boundary layer equations and three dimensional parabolized navier stokes equations for newtonian and non newtonian fluids in contrast to dimensional analysis which does not allow the determination of self similar solutions in this case a generating functions approach elaborated by vinogradov soviet math dokl 19 1978 pp 144 148 enables one to derive conservation laws for the above mentioned problems and as a consequence to find new self similarities of the navier stokes equations", "title_raw": "HIDDEN INVARIANCES IN PROBLEMS OF TWO-DIMENSIONAL AND THREE-DIMENSIONAL WALL JETS FOR NEWTONIAN AND NON-NEWTONIAN FLUIDS \u2217", "abstract_raw": "This work is devoted to the investigation of self-similar solutions for steady wall jets. The problem is considered in the context of two- and three-dimensional Prandtl boundary layer equations, and three-dimensional parabolized Navier--Stokes equations for Newtonian and non-Newtonian fluids. In contrast to dimensional analysis, which does not allow the determination of self-similar solutions in this case, a generating functions approach elaborated by Vinogradov [Soviet Math. Dokl., 19 (1978), pp. 144--148] enables one to derive conservation laws for the above-mentioned problems and, as a consequence, to find new self-similarities of the Navier--Stokes equations." }, { "paper": "2103709955", "venue": "4502562", "year": "2002", "title": "universal composite hypothesis testing a competitive minimax approach", "label": [ "197055811", "149728462", "84839998", "2777423538", "126255220", "57273362", "28901747", "87007009" ], "author": [ "2178521762", "336176899" ], "reference": [ "1500551892", "1537675645", "1549664537", "1578525639", "1589521907", "1968908999", "1981155179", "1985077192", "1991315500", "2011598377", "2022269248", "2033387638", "2045638068", "2055075080", "2085581636", "2098720252", "2113134236", "2119350746", "2125838338", "2126178628", "2126498598", "2127904409", "2131024393", "2142326547", "2142635246", "2142901448", "2154966010", "2155857058", "2162863295", "2167266655", "2168175751" ], "abstract": "a novel approach is presented for the long standing problem of composite hypothesis testing in composite hypothesis testing unlike in simple hypothesis testing the probability function of the observed data given the hypothesis is uncertain as it depends on the unknown value of some parameter the proposed approach is to minimize the worst case ratio between the probability of error of a decision rule that is independent of the unknown parameters and the minimum probability of error attainable given the parameters the principal solution to this minimax problem is presented and the resulting decision rule is discussed since the exact solution is in general hard to find and a fortiori hard to implement an approximation method that yields an asymptotically minimax decision rule is proposed finally a variety of potential application areas are provided in signal processing and communications with special emphasis on universal decoding", "title_raw": "Universal composite hypothesis testing: a competitive minimax approach", "abstract_raw": "A novel approach is presented for the long-standing problem of composite hypothesis testing. In composite hypothesis testing, unlike in simple hypothesis testing, the probability function of the observed data, given the hypothesis, is uncertain as it depends on the unknown value of some parameter. The proposed approach is to minimize the worst case ratio between the probability of error of a decision rule that is independent of the unknown parameters and the minimum probability of error attainable given the parameters. The principal solution to this minimax problem is presented and the resulting decision rule is discussed. Since the exact solution is, in general, hard to find, and a fortiori hard to implement, an approximation method that yields an asymptotically minimax decision rule is proposed. Finally, a variety of potential application areas are provided in signal processing and communications with special emphasis on universal decoding." }, { "paper": "2094602171", "venue": "61604500", "year": "2002", "title": "statistical mechanics of the spin 3 2 blume capel model on the bethe lattice using the recursion method", "label": [ "44563069" ], "author": [ "2309566885", "2102428091", "2094502393" ], "reference": [ "168996050", "1530042113", "1963870337", "1964546840", "1971521067", "1978613083", "1978962462", "1980493309", "1996680105", "1997509999", "1998452083", "1999715206", "2001260252", "2004200085", "2011875896", "2019839631", "2027418353", "2027572846", "2032046013", "2047853582", "2058951218", "2066570495", "2068561789", "2070906634", "2071705697", "2079558022", "2083097077", "2086052522", "2109548439", "2159274192", "2164812020", "2511584070", "3034748896" ], "abstract": "abstract exact expressions for the magnetization or the dipole moment the quadrupolar moment and the curie temperature of the spin 3 2 blume capel model on the bethe lattice are derived using the recursion method the thermal variations of the magnetization and quadrupolar moment order parameters are studied in depth for a range of the coupling parameter d j and a number of characteristic behaviors for their thermal variations are obtained besides the stable branches of the order parameters we find the unstable branches of them which occur at low temperatures and near the first and second order phase transition temperatures finally the phase diagram and the critical behavior of the model are discussed", "title_raw": "Statistical mechanics of the spin-3/2 Blume\u2013Capel model on the Bethe lattice using the recursion method", "abstract_raw": "Abstract Exact expressions for the magnetization or the dipole moment, the quadrupolar moment and the Curie temperature of the spin-3/2 Blume\u2013Capel model on the Bethe lattice are derived using the recursion method. The thermal variations of the magnetization and quadrupolar moment order parameters are studied in depth for a range of the coupling parameter, \u03b1 = D / J , and a number of characteristic behaviors for their thermal variations are obtained. Besides the stable branches of the order parameters, we find the unstable branches of them which occur at low temperatures and near the first- and second-order phase-transition temperatures. Finally, the phase diagram and the critical behavior of the model are discussed." }, { "paper": "1991927630", "venue": "184954342", "year": "2002", "title": "homogeneous dynamical systems theory", "label": [ "36299963", "1026927", "114275822", "48209547", "178685544", "79379906", "28826006", "6802819", "65244806" ], "author": [ "2295649962", "2235007509" ], "reference": [ "29820467", "1479099019", "1491306163", "1495883836", "1564850816", "1600559596", "1975045856", "2000467776", "2007064026", "2028905901", "2053336822", "2059902650", "2085219485", "2089373496", "2090281378", "2092545617", "2100172545", "2107766390", "2109267452", "2112378960", "2115725078", "2116285505", "2124951941", "2128140121", "2130613450", "2136007782", "2137521827", "2140393629", "2144433647", "2148951319", "2151949063", "2167501464", "2314485382", "2805848106", "2914331897" ], "abstract": "we study controlled homogeneous dynamical systems and derive conditions under which the system is perspective controllable we also derive conditions under which the system is observable in the presence of a control over the complex base field in the absence of any control input we derive a necessary and sufficient condition for observability of a homogeneous dynamical system over the real base field the observability criterion obtained generalizes a well known popov belevitch hautus rank criterion to check the observability of a linear dynamical system finally we introduce rational exponential interpolation problems as an important step toward solving the problem of realizing homogeneous dynamical systems with minimum state dimensions", "title_raw": "Homogeneous dynamical systems theory", "abstract_raw": "We study controlled homogeneous dynamical systems and derive conditions under which the system is perspective controllable. We also derive conditions under which the system is observable in the presence of a control over the complex base field. In the absence of any control input, we derive a necessary and sufficient condition for observability of a homogeneous dynamical system over the real base field. The observability criterion obtained generalizes a well known Popov-Belevitch-Hautus rank criterion to check the observability of a linear dynamical system. Finally, we introduce rational, exponential, interpolation problems as an important step toward solving the problem of realizing homogeneous dynamical systems with minimum state dimensions." }, { "paper": "2014571690", "venue": "103321696", "year": "2002", "title": "on the posynomial fractional programming problems", "label": [ "61157135", "169069869", "11210021", "147764199", "20729856", "17095337", "2777824864", "126255220", "25360446" ], "author": [ "2632680578" ], "reference": [ "1499399028", "1981915376", "1983421222", "2000958549", "2018008759", "2019633452", "2029650406", "2040529625", "2050130693", "2059740345", "2063190731", "2063543218", "2067171884", "2085768129", "2090395152", "2152856948", "2156577211", "2166660920", "2188773710" ], "abstract": "abstract the posynomial fractional programming pfp problem arises from the summation minimization of several quotient terms which are composed of posynomial terms appearing in the objective function subject to given posynomial constraints this paper proposes an approximate approach to solving a pfp problem a linear programming relaxation is derived for the problem based on piecewise linearization techniques which first convert a posynomial term into the sum of absolute terms these absolute terms are then linearized by some linearization techniques the proposed approach could reach a solution as close as possible to a global optimum", "title_raw": "On the posynomial fractional programming problems", "abstract_raw": "Abstract The posynomial fractional programming (PFP) problem arises from the summation minimization of several quotient terms, which are composed of posynomial terms appearing in the objective function subject to given posynomial constraints. This paper proposes an approximate approach to solving a PFP problem. A linear programming relaxation is derived for the problem based on piecewise linearization techniques, which first convert a posynomial term into the sum of absolute terms; these absolute terms are then linearized by some linearization techniques. The proposed approach could reach a solution as close as possible to a global optimum." }, { "paper": "2524215786", "venue": "35412551", "year": "2002", "title": "kullback leibler and renormalized entropies applications to electroencephalograms of epilepsy patients authors reply", "label": [ "171752962" ], "author": [ "2065220508", "2266580021", "2041283713", "2847945929", "1987727939", "2947070642", "2095281277", "239016969", "147023852" ], "reference": [], "abstract": "in a recent paper quian quiroga et al r quian quiroga et al phys rev e 62 8380 2000 found renormalized entropy formerly introduced as a complexity measure for the different regimes of a dynamical system to beclosely related to the standard kullback leibler entropy they assure this finding by reanalyzing electroencephalographic data of epilepsy patients previously examined by exclusive use of renormalized entropy k kopitzki et al phys rev e 58 4859 1998 we argue that the general considerations undertaken by the authors and the experimental results do not justify this conclusion", "title_raw": "Kullback-leibler and renormalized entropies: Applications to electroencephalograms of epilepsy patients. Authors' reply", "abstract_raw": "In a recent paper Quian Quiroga et al. [R. Quian Quiroga et al., Phys. Rev. E 62, 8380 (2000)] found renormalized entropy, formerly introduced as a complexity measure for the different regimes of a dynamical system, to beclosely related to the standard Kullback-Leibler entropy. They assure this finding by reanalyzing electroencephalographic data of epilepsy patients, previously examined by exclusive use of renormalized entropy [K. Kopitzki et al., Phys. Rev. E 58, 4859 (1998)]. We argue that the general considerations undertaken by the authors and the experimental results do not justify this conclusion." }, { "paper": "2093596980", "venue": "151579836", "year": "2002", "title": "poincare types solutions of systems of difference equations", "label": [ "78045399", "158693339", "88221313", "202444582", "134306372" ], "author": [ "2616881681", "2788290688", "2110048603" ], "reference": [ "1497099219", "1500921805", "1510531757", "1588340316", "1982845430", "1990144193", "2010362952", "2031281625", "2073727957", "2077370824", "2115891794", "2153961202", "3035235874" ], "abstract": "", "title_raw": "Poincar\u00e9 types solutions of systems of difference equations", "abstract_raw": "" }, { "paper": "2033113461", "venue": "35412551", "year": "2002", "title": "nonhydrodynamic modes and a priori construction of shallow water lattice boltzmann equations", "label": [ "146651103", "140295346", "207821765", "200602138", "134306372" ], "author": [ "1993759506" ], "reference": [ "1589649952", "1969064103", "1970544093", "1971352798", "1982933896", "1994001737", "2014786311", "2018281795", "2040259398", "2050383973", "2060827561", "2062900651", "2065710952", "2078949044", "2083275413", "2104582846", "2116969823", "2117242079", "2123960926", "2172735719", "2343442355", "2411948770", "3102905031" ], "abstract": "lattice boltzmann equations for the isothermal navier stokes equations have been constructed systematically using a truncated moment expansion of the equilibrium distribution function from continuum kinetic theory applied to the shallow water equations with its different equation of state the same approach yields discrete equilibria that are subject to a grid scale computational instability different and stable equilibria were previously constructed by salmon j marine res 57 503 1999 the two sets of equilibria differ through a nonhydrodynamic or ghost mode that has no direct effect on the hydrodynamic behavior derived in the slowly varying limit however salmon s equilibria eliminate a coupling between hydrodynamic and ghost modes one that leads to instability with a growth rate increasing with wave number previous work has usually assumed that truncated moment expansions lead to stable schemes such instabilities have implications for lattice boltzmann equations that simulate other nonideal equations of state or that simulate fully compressible nonisothermal fluids using additional particles", "title_raw": "Nonhydrodynamic modes and a priori construction of shallow water lattice Boltzmann equations", "abstract_raw": "Lattice Boltzmann equations for the isothermal Navier-Stokes equations have been constructed systematically using a truncated moment expansion of the equilibrium distribution function from continuum kinetic theory. Applied to the shallow water equations, with its different equation of state, the same approach yields discrete equilibria that are subject to a grid scale computational instability. Different and stable equilibria were previously constructed by Salmon [J. Marine Res. 57, 503 (1999)]. The two sets of equilibria differ through a nonhydrodynamic or ``ghost'' mode that has no direct effect on the hydrodynamic behavior derived in the slowly varying limit. However, Salmon's equilibria eliminate a coupling between hydrodynamic and ghost modes, one that leads to instability with a growth rate increasing with wave number. Previous work has usually assumed that truncated moment expansions lead to stable schemes. Such instabilities have implications for lattice Boltzmann equations that simulate other nonideal equations of state, or that simulate fully compressible, nonisothermal fluids using additional particles." }, { "paper": "2022571168", "venue": "192217950", "year": "2002", "title": "cyclic cohomology and the family lefschetz theorem", "label": [ "42058472", "171036898", "125565743", "12310481", "202833876", "54486226", "202444582", "152003226" ], "author": [ "2030939747" ], "reference": [ "192962078", "433096083", "1491285207", "1527619600", "1641204135", "1966577185", "1967658353", "1976102908", "1994822698", "2010647628", "2027992356", "2053532032", "2072011469", "2073123306", "2088165997", "2090284889", "2155364791", "2206839359", "2315529996", "2317402916" ], "abstract": "any closed current on the base of a compact fibration gives rise to a cyclic cocycle on the smooth convolution algebra we prove that such cocycle furnishes additive maps from the vertically equivariant k theory to the scalars this enables to associate to any closed current on the base of the fibration a lefschetz formula for fiber preserving isometries using geometric operators on the base we deduce the integrality of some characteristic numbers", "title_raw": "Cyclic cohomology and the family Lefschetz theorem", "abstract_raw": "Any closed current on the base of a compact fibration gives rise to a cyclic cocycle on the smooth convolution algebra. We prove that such cocycle furnishes additive maps from the vertically equivariant K-theory to the scalars. This enables to associate to any closed current on the base of the fibration, a Lefschetz formula for fiber-preserving isometries. Using geometric operators on the base, we deduce the integrality of some characteristic numbers." }, { "paper": "2146739464", "venue": "165651092", "year": "2002", "title": "a point interpolation meshless method based on radial basis functions", "label": [ "177562122", "134306372", "82047721", "2778406171", "17378031", "54486999" ], "author": [ "2513910485", "2587025022" ], "reference": [ "1570196998", "1968191163", "1969239362", "1972321468", "1977042664", "1985518952", "1988744163", "1988793248", "2002879376", "2019180174", "2037127091", "2041858377", "2047877145", "2054732436", "2055528045", "2059406236", "2059959148", "2074797641", "2080977367", "2090673978", "2092250306", "2092297374", "2101121254", "2115594660", "2142136198", "2147169375", "2166773194", "2168464495" ], "abstract": "a point interpolation meshless method is proposed based on combining radial and polynomial basis functions involvement of radial basis functions overcomes possible singularity associated with the meshless methods based on only the polynomial basis this non singularity is useful in constructing well performed shape functions furthermore the interpolation function obtained passes through all scattered points in an influence domain and thus shape functions are of delta function property this makes the implementation of essential boundary conditions much easier than the meshless methods based on the moving least squares approximation in addition the partial derivatives of shape functions are easily obtained thus improving computational efficiency examples on curve surface fittings and solid mechanics problems show that the accuracy and convergence rate of the present method is high copyright 2002 john wiley sons ltd", "title_raw": "A point interpolation meshless method based on radial basis functions", "abstract_raw": "A point interpolation meshless method is proposed based on combining radial and polynomial basis functions. Involvement of radial basis functions overcomes possible singularity associated with the meshless methods based on only the polynomial basis. This non-singularity is useful in constructing well-performed shape functions. Furthermore, the interpolation function obtained passes through all scattered points in an influence domain and thus shape functions are of delta function property. This makes the implementation of essential boundary conditions much easier than the meshless methods based on the moving least-squares approximation. In addition, the partial derivatives of shape functions are easily obtained, thus improving computational efficiency. Examples on curve/surface fittings and solid mechanics problems show that the accuracy and convergence rate of the present method is high. Copyright \u00a9 2002 John Wiley & Sons, Ltd." }, { "paper": "2076959604", "venue": "70695507", "year": "2002", "title": "an open mapping theorem using unbounded generalized jacobians", "label": [ "97174813", "204379118", "134306372", "43987214", "200331156", "138578839", "202444582" ], "author": [ "2270775258", "2940191163" ], "reference": [ "90642534", "113278869", "585047121", "1519743817", "1545023138", "1551360398", "1893407554", "1978209239", "1997015026", "2003540223", "2003660390", "2023105568", "2042054508", "2048962127", "2093020024", "2108984744", "2116817647", "2136953603", "2974737767" ], "abstract": "", "title_raw": "An open mapping theorem using unbounded generalized jacobians", "abstract_raw": "" }, { "paper": "1982309386", "venue": "158241587", "year": "2002", "title": "metric independent analysis of the stress energy tensor", "label": [ "187991023", "134306372", "107180903", "148125525", "191696108", "124007464", "520416788", "166077713", "171338203" ], "author": [ "2129756505" ], "reference": [ "159971542", "1536348985", "1616026859", "1620889972", "1976058996", "2060541429", "2070228627", "2075373517", "2494396055", "3039012497" ], "abstract": "the stress energy tensor of field theory is defined and analyzed in a geometric setting where a metric is not available the stress is a linear mapping that transforms the three form representing the flux of any given property e g charge current density to the three form representing the flux of energy the example of the electromagnetic stress energy tensor is given with the additional structure of a volume element", "title_raw": "Metric-independent analysis of the stress-energy tensor", "abstract_raw": "The stress-energy tensor of field theory is defined and analyzed in a geometric setting where a metric is not available. The stress is a linear mapping that transforms the three-form representing the flux of any given property, e.g., charge-current density, to the three-form representing the flux of energy. The example of the electromagnetic stress-energy tensor is given with the additional structure of a volume element." }, { "paper": "2089948756", "venue": "171170845", "year": "2002", "title": "localization for one dimensional continuum bernoulli anderson models", "label": [ "134306372", "99261239", "151376022" ], "author": [ "1989075918", "2204073646", "2104014709" ], "reference": [ "97424960", "1511889936", "1563645977", "1575147392", "1595019369", "1600977221", "1606924096", "1697180840", "1965138981", "1973741257", "1973774718", "1974363724", "1975458135", "1978077846", "1979984622", "1982332624", "1995812256", "2003780998", "2010635633", "2014961534", "2021316590", "2025025900", "2028466177", "2040423578", "2041535491", "2051832198", "2054556365", "2055769218", "2059121108", "2064484388", "2067265108", "2067586198", "2067958772", "2068258833", "2069052600", "2069258328", "2071247759", "2074865746", "2086946105", "2115441663", "2136252704", "2152882279", "2153058548", "2166746313", "2789386597", "3099577161", "3100632906", "3106508749", "3141151088" ], "abstract": "we use scattering theoretic methods to prove strong dynamical and exponential localization for one dimensional continuum anderson type models with singular distributions in particular the case of a bernoulli dis tribution is covered the operators we consider model alloys composed of at least two distinct types of randomly dispersed atoms our main tools are the reflection and transmission coefficients for compactly supported single site perturbations of a periodic background which we use to verify the necessary hypotheses of multi scale analysis we show that non reflectionless single sites lead to a discrete set of exceptional energies away from which localization occurs", "title_raw": "LOCALIZATION FOR ONE DIMENSIONAL, CONTINUUM, BERNOULLI-ANDERSON MODELS", "abstract_raw": "We use scattering theoretic methods to prove strong dynamical and exponential localization for one dimensional, continuum, Anderson-type models with singular distributions; in particular the case of a Bernoulli dis- tribution is covered. The operators we consider model alloys composed of at least two distinct types of randomly dispersed atoms. Our main tools are the reflection and transmission coefficients for compactly supported single site perturbations of a periodic background which we use to verify the necessary hypotheses of multi-scale analysis. We show that non-reflectionless single sites lead to a discrete set of exceptional energies away from which localization occurs." }, { "paper": "2014696550", "venue": "35412551", "year": "2002", "title": "body versus surface forces in continuum mechanics is the maxwell stress tensor a physically objective cauchy stress", "label": [ "18498794", "99261239", "171338203", "2781196917" ], "author": [ "1987592177", "2224585521" ], "reference": [], "abstract": "the maxwell stress tensor mst t m plays an important role in the dynamics of continua interacting with external fields as in the commercially and scientifically important case of ferrofluids as a conceptual entity in quasistatic systems the mst derives from the definition f m def inverted delta x t m where f m x is a physically objective volumetric external body force density field at a point x of a continuum derived from the solution of the pertinent governing equations beginning with the fact that t m is not uniquely defined via the preceding relationship from knowledge of f m we point out in this paper that the interpretation of t m as being a physical stress is not only conceptually incorrect but that in commonly occuring situations this interpretation will result in incorrect predictions of the physical response of the system in short by elementary examples this paper emphasizes the need to maintain the classical physical distinction between the notions of body forces f and stresses t these examples include calculations of the torque on bodies the work required to deform a fluid continuum and the rate of interchange of energy between mechanical and other modes", "title_raw": "Body versus surface forces in continuum mechanics: Is the Maxwell stress tensor a physically objective Cauchy stress?", "abstract_raw": "The Maxwell stress tensor (MST) T(M) plays an important role in the dynamics of continua interacting with external fields, as in the commercially and scientifically important case of \"ferrofluids.\" As a conceptual entity in quasistatic systems, the MST derives from the definition f(M)def=inverted Delta x T(M), where f(M)(x) is a physically objective volumetric external body-force density field at a point x of a continuum, derived from the solution of the pertinent governing equations. Beginning with the fact that T(M) is not uniquely defined via the preceding relationship from knowledge of f(M), we point out in this paper that the interpretation of T(M) as being a physical stress is not only conceptually incorrect, but that in commonly occuring situations this interpretation will result in incorrect predictions of the physical response of the system. In short, by elementary examples, this paper emphasizes the need to maintain the classical physical distinction between the notions of body forces f and stresses T. These examples include calculations of the torque on bodies, the work required to deform a fluid continuum, and the rate of interchange of energy between mechanical and other modes." }, { "paper": "2092429114", "venue": "159544283", "year": "2002", "title": "covering numbers under small perturbations", "label": [ "2778793972", "118615104", "106286213" ], "author": [ "2163511371" ], "reference": [ "156107011", "2024209937", "2024650307", "2077985809", "2079946903", "2082086338", "2093300377" ], "abstract": "we investigate how the covering number of the elements can change under arbitrarily small perturbations", "title_raw": "Covering numbers under small perturbations", "abstract_raw": "We investigate how the covering number of the elements can change under arbitrarily small perturbations." }, { "paper": "2103352188", "venue": "4502562", "year": "2002", "title": "fibonacci and galois representations of feedback with carry shift registers", "label": [ "145899342", "2777423538", "11413529", "140642157", "173734053", "45374587" ], "author": [ "604931244", "2086371636" ], "reference": [ "121225834", "1480210121", "1541795511", "1572199847", "1579600165", "1592261758", "1593303120", "1703204569", "2010065058", "2015498579", "2027875058", "2055913615", "2094132308", "2110754133", "2112846031", "2123423914", "2144253890", "2146561088", "2150276672", "2163925910", "2274316773", "3151140615", "3194602862" ], "abstract": "a feedback with carry shift register fcsr with fibonacci architecture is a shift register provided with a small amount of memory which is used in the feedback algorithm like the linear feedback shift register lfsr the fcsr provides a simple and predictable method for the fast generation of pseudorandom sequences with good statistical properties and large periods in this paper we describe and analyze an alternative architecture for the fcsr which is similar to the galois architecture for the lfsr the galois architecture is more efficient than the fibonacci architecture because the feedback computations are performed in parallel we also describe the output sequences generated by the d fcsr a slight modification of the fibonacci fcsr architecture in which the feedback bit is delayed for d clock cycles before being returned to the first cell of the shift register we explain how these devices may be configured so as to generate sequences with large periods we show that the d fcsr also admits a more efficient galois architecture", "title_raw": "Fibonacci and Galois representations of feedback-with-carry shift registers", "abstract_raw": "A feedback-with-carry shift register (FCSR) with \"Fibonacci\" architecture is a shift register provided with a small amount of memory which is used in the feedback algorithm. Like the linear feedback shift register (LFSR), the FCSR provides a simple and predictable method for the fast generation of pseudorandom sequences with good statistical properties and large periods. In this paper, we describe and analyze an alternative architecture for the FCSR which is similar to the \"Galois\" architecture for the LFSR. The Galois architecture is more efficient than the Fibonacci architecture because the feedback computations are performed in parallel. We also describe the output sequences generated by the d-FCSR, a slight modification of the (Fibonacci) FCSR architecture in which the feedback bit is delayed for d clock cycles before being returned to the first cell of the shift register. We explain how these devices may be configured so as to generate sequences with large periods. We show that the d-FCSR also admits a more efficient \"Galois\" architecture." }, { "paper": "2157069158", "venue": "99182027", "year": "2002", "title": "normal modes of a non linear clamped clamped beam", "label": [ "104286136", "158622935", "2524010", "20483540", "134306372" ], "author": [ "2679009460", "2160206473", "2155301187" ], "reference": [ "1520835840", "1815946177", "1958809597", "1964134419", "1969123722", "1996712515", "2006664270", "2012727754", "2017965323", "2031242409", "2037758750", "2054058059", "2063098526", "2069081380", "2084538387", "2088729443", "2475624514", "2563384440", "2729450229", "3170705279" ], "abstract": "abstract non linear modal analysis approach based on invariant manifold method proposed earlier by shaw and pierre journal of sound and vibration 164 85 124 is utilized here to obtain the non linear normal modes of a clamped clamped beam for large amplitude displacements the results obtained for the fundamental normal mode are compared with the corresponding reported experimental and theoretical studies the effects of modal coupling are examined in greater detail the limitation of the present method for analyzing non linear behavior is highlighted", "title_raw": "NORMAL MODES OF A NON-LINEAR CLAMPED\u2013CLAMPED BEAM", "abstract_raw": "Abstract Non-linear modal analysis approach based on invariant manifold method proposed earlier by Shaw and Pierre ( Journal of Sound and Vibration 164 , 85\u2013124) is utilized here to obtain the non-linear normal modes of a clamped\u2013clamped beam for large amplitude displacements. The results obtained for the fundamental normal mode are compared with the corresponding reported experimental and theoretical studies. The effects of modal coupling are examined in greater detail. The limitation of the present method for analyzing non-linear behavior is highlighted." }, { "paper": "2109243512", "venue": "199944782", "year": "2002", "title": "maximum likelihood image matching", "label": [ "49937458", "193536780", "158096908", "79337645" ], "author": [ "2153264145" ], "reference": [ "1512801828", "1783024479", "1819990927", "1874027545", "1899446890", "2069537876", "2088616581", "2094518347", "2100315781", "2102441877", "2122463493", "2126009268", "2131200790", "2158240273", "2158329330", "2160754664", "2167737187" ], "abstract": "image matching applications such as tracking and stereo commonly use the sum of squared difference ssd measure to determine the best match however this measure is sensitive to outliers and is not robust to template variations alternative measures have also been proposed that are more robust to these issues we improve upon these using a probabilistic formulation for image matching in terms of maximum likelihood estimation that can be used for both edge template matching and gray level image matching this formulation generalizes previous edge matching methods based on distance transforms we apply the techniques to stereo matching and feature tracking uncertainty estimation techniques allow feature selection to be performed by choosing features that minimize the localization uncertainty", "title_raw": "Maximum-likelihood image matching", "abstract_raw": "Image-matching applications, such as tracking and stereo, commonly use the sum-of-squared-difference (SSD) measure to determine the best match. However, this measure is sensitive to outliers and is not robust to template variations. Alternative measures have also been proposed that are more robust to these issues. We improve upon these using a probabilistic formulation for image matching in terms of maximum-likelihood estimation that can be used for both edge template matching and gray-level image matching. This formulation generalizes previous edge-matching methods based on distance transforms. We apply the techniques to stereo matching and feature tracking. Uncertainty estimation techniques allow feature selection to be performed by choosing features that minimize the localization uncertainty." }, { "paper": "2066459113", "venue": "35412551", "year": "2002", "title": "asymptotic expansion for reversible a b c reaction diffusion process", "label": [ "207467116", "93779851", "144618667", "134306372", "121231716", "11683690", "151201525" ], "author": [ "2218711411" ], "reference": [ "657879144", "1530342450" ], "abstract": "we study long time properties of reversible reaction diffusion systems of type a b ensuremath leftrightarrow c by means of the perturbation expansion in powers of 1 t inverse of time for the case of equal diffusion coefficients we present exact formulas for the asymptotic forms of reactant concentrations and a complete recursive expression for an arbitrary term of the expansions taking an appropriate limit we show that by studying reversible reactions one can obtain singular solutions typical of irreversible reactions", "title_raw": "Asymptotic expansion for reversible A+B C reaction-diffusion process.", "abstract_raw": "We study long-time properties of reversible reaction-diffusion systems of type $A+B\\ensuremath{\\leftrightarrow}C$ by means of the perturbation expansion in powers of $1/t$ (inverse of time). For the case of equal diffusion coefficients we present exact formulas for the asymptotic forms of reactant concentrations and a complete, recursive expression for an arbitrary term of the expansions. Taking an appropriate limit we show that by studying reversible reactions one can obtain ``singular'' solutions typical of irreversible reactions." }, { "paper": "2063968234", "venue": "35412551", "year": "2002", "title": "phase diagram of the spin 3 2 blume capel model in three dimensions", "label": [ "124897322", "19499675", "93779851", "2777215656" ], "author": [ "2678190202" ], "reference": [], "abstract": "we use a thermodynamically self consistent theory to obtain the phase diagram of the ferromagnetic spin 3 2 blume capel model on the simple cubic lattice the theory is based on an ornstein zernike approximation where thedirect correlation function is truncated and the dependence upon the thermodynamic variables is determined by a set of two coupled partial differential equations within this framework we localize the critical line in zero external field with high accuracy and in good agreement with previous monte carlo analysis at low temperature in contrast with monte carlo results we find a first order transition line ending at a critical end point whose coordinates are given by k b t c j c 0 213 0 003 c j c 0 491 0 001", "title_raw": "Phase diagram of the spin-3/2 Blume-Capel model in three dimensions.", "abstract_raw": "We use a thermodynamically self-consistent theory to obtain the phase diagram of the ferromagnetic spin-3/2 Blume-Capel model on the simple cubic lattice. The theory is based on an Ornstein-Zernike approximation where thedirect correlation function is truncated and the dependence upon the thermodynamic variables is determined by a set of two coupled partial differential equations. Within this framework, we localize the critical line in zero external field with high accuracy and in good agreement with previous Monte Carlo analysis. At low temperature, in contrast with Monte Carlo results, we find a first-order transition line ending at a critical end point whose coordinates are given by (k B T c / J C = 0.213\u20320.003, \u03b4 c / J C = 0.491\u20320.001)." }, { "paper": "2118295943", "venue": "55826652", "year": "2002", "title": "an analytic center cutting plane method for semidefinite feasibility problems", "label": [ "114614502", "49712288", "134912446", "122041747", "34388435", "101901036", "109839438", "206818286", "118615104" ], "author": [ "2494594460", "2186831745", "2143556496" ], "reference": [ "1525133469", "1533092490", "1632601927", "1966986674", "1974421881", "2015681706", "2054090890", "2059499240", "2099839128", "2912522929" ], "abstract": "semidefinite feasibility problems arise in many areas of operations research the abstract form of these problems can be described as finding a point in a nonempty bounded convex body g in the cone of symmetric positive semidefinite matrices assume that g is defined by an oracle which for any givenm xm symmetric positive semidefinite matrix y either confirms that y e g or returns a cut i e a symmetric matrixa such that g is in the half space y a y a y we study an analytic center cutting plane algorithm for this problem at each iteration the algorithm computes an approximate analytic center of a working set defined by the cutting plane system generated in the previous iterations if this approximate analytic center is a solution then the algorithm terminates otherwise the new cutting plane returned by the oracle is added into the system as the number of iterations increases the working set shrinks and the algorithm eventually finds a solution to the problem all iterates generated by the algorithm are positive definite matrices the algorithm has a worst case complexity of o m3 e 2 on the total number of cuts to be used where e is the maximum radius of a ball contained by g", "title_raw": "An Analytic Center Cutting Plane Method for Semidefinite Feasibility Problems", "abstract_raw": "Semidefinite feasibility problems arise in many areas of operations research. The abstract form of these problems can be described as finding a point in a nonempty bounded convex body G in the cone of symmetric positive semidefinite matrices. Assume that G is defined by an oracle, which for any givenm xm symmetric positive semidefinite matrix Y either confirms that Y e G or returns a cut, i.e., a symmetric matrixA such that G is in the half-space { Y :A \u00c2\u00b7Y = A \u00c2\u00b7 Y}. We study an analytic center cutting plane algorithm for this problem. At each iteration, the algorithm computes an approximate analytic center of a working set defined by the cutting plane system generated in the previous iterations. If this approximate analytic center is a solution, then the algorithm terminates; otherwise the new cutting plane returned by the oracle is added into the system. As the number of iterations increases, the working set shrinks and the algorithm eventually finds a solution to the problem. All iterates generated by the algorithm are positive definite matrices. The algorithm has a worst-case complexity of O *( m3 /e 2 )on the total number of cuts to be used, where e is the maximum radius of a ball contained by G." }, { "paper": "1982265497", "venue": "104894821", "year": "2002", "title": "harmonic maps into spaces with an upper curvature bound in the sense of alexandrov", "label": [ "134306372", "195065555", "6270764" ], "author": [ "543978344" ], "reference": [ "108975978", "599494534", "1523969241", "1561974326", "1591747365", "1976073889", "1977669058", "1978712663", "1985570201", "2044630607", "2065614467", "2096450949", "2100336671", "2184851684", "2325137423" ], "abstract": "", "title_raw": "Harmonic maps into spaces with an upper curvature bound in the sense of Alexandrov", "abstract_raw": "" }, { "paper": "2056105126", "venue": "90727058", "year": "2002", "title": "presentations of computably enumerable reals", "label": [ "52703633", "156382255", "152062344", "203702658", "94020503", "118615104", "114614502" ], "author": [ "1127475603", "131996621" ], "reference": [ "33141172", "243653900", "1497475168", "1598664776", "1964728647", "1972481159", "1973028128", "1976647442", "1981198727", "1994986854", "2006786362", "2008273724", "2020311636", "2033642714", "2037917663", "2056414301", "2059288245", "2067580807", "2088690541", "2126160338", "2145295071" ], "abstract": "we study the relationship between a computably enumerable real and its presentations ways of approximating the real by enumerating a prefix free set of binary strings", "title_raw": "Presentations of computably enumerable reals", "abstract_raw": "We study the relationship between a computably enumerable real and its presentations: ways of approximating the real by enumerating a prefix-free set of binary strings." }, { "paper": "2010083959", "venue": "928796702", "year": "2002", "title": "sufficient conditions for error bounds", "label": [ "200661725", "132954091", "34388435", "118615104", "59372978", "93504180", "112680207", "171739935" ], "author": [ "2309172212", "2115276434" ], "reference": [ "136210669", "1551360398", "1960239420", "1977750299", "1978320424", "1991607307", "2001029860", "2008195537", "2022083862", "2027583163", "2028253364", "2033604629", "2061907550", "2067951301", "2069369032", "2086592650", "2095929557", "2120156893", "2145867192", "2334285086", "2653106040" ], "abstract": "for a lower semicontinuous l s c inequality system on a banach space it is shown that error bounds hold provided every element in an abstract subdifferential of the constraint function at each point outside the solution set is norm bounded away from zero a sufficient condition for a global error bound to exist is also given for an l s c inequality system on a real normed linear space it turns out that a global error bound closely relates to metric regularity which is useful for presenting sufficient conditions for an l s c system to be regular at sets under the generalized slater condition a continuous convex system on rn is proved to be metrically regular at bounded sets", "title_raw": "Sufficient Conditions for Error Bounds", "abstract_raw": "For a lower semicontinuous (l.s.c.) inequality system on a Banach space, it is shown that error bounds hold, provided every element in an abstract subdifferential of the constraint function at each point outside the solution set is norm bounded away from zero. A sufficient condition for a global error bound to exist is also given for an l.s. c. inequality system on a real normed linear space. It turns out that a global error bound closely relates to metric regularity, which is useful for presenting sufficient conditions for an l.s. c. system to be regular at sets. Under the generalized Slater condition, a continuous convex system on Rn is proved to be metrically regular at bounded sets." }, { "paper": "2023597756", "venue": "165651092", "year": "2002", "title": "design space optimization using a numerical design continuation method", "label": [ "98528093", "131675550", "164088818", "2775978667", "29513896", "126255220", "189216461", "21200559", "137836250" ], "author": [ "2293081049", "2179282548" ], "reference": [ "21432690", "1517115540", "1923253419", "1972315455", "1974597593", "1989201748", "1997236009", "2005595061", "2012608222", "2014753426", "2023982313", "2032465662", "2038686318", "2042368310", "2043180616", "2064117726", "2066881975", "2069697210", "2071910487", "2081413347", "2086674516", "2091190726", "2092801729", "2108254786", "2135333858", "2163266877", "2276155619", "2489863506", "2504667685" ], "abstract": "summary a generalized optimization problem in which design space is also a design to be found is de9ned and a numerical implementation method is proposed in conventional optimization only a portion of structural parameters is designated as design variables while the remaining set of other parameters related to the design space are often taken for granted a design space is speci9ed by the number of design variables and the layout or con9guration to solve this type of design space problems a simple initial design space is selected and gradually improved while the usual design variables are being optimized to make the design space evolve into a better one one may increase the number of design variables but in this transition there are discontinuities in the objective and constraint functions accordingly the sensitivity analysis methods based on continuity will not apply to this discontinuous stage to overcome the di culties a numerical continuation scheme is proposed based on a new concept of a pivot phase design space two new categories of structural optimization problems are formulated and concrete examples shown copyright 2001 john wiley sons ltd", "title_raw": "Design space optimization using a numerical design continuation method", "abstract_raw": "SUMMARY A generalized optimization problem in which design space is also a design to be found is de9ned and a numerical implementation method is proposed. In conventional optimization, only a portion of structural parameters is designated as design variables while the remaining set of other parameters related to the design space are often taken for granted. A design space is speci9ed by the number of design variables, and the layout or con9guration. To solve this type of design space problems, a simple initial design space is selected and gradually improved while the usual design variables are being optimized. To make the design space evolve into a better one, one may increase the number of design variables, but, in this transition, there are discontinuities in the objective and constraint functions. Accordingly, the sensitivity analysis methods based on continuity will not apply to this discontinuous stage. To overcome the di=culties, a numerical continuation scheme is proposed based on a new concept of a pivot phase design space. Two new categories of structural optimization problems are formulated and concrete examples shown. Copyright ? 2001 John Wiley & Sons, Ltd." }, { "paper": "2172256631", "venue": "168680287", "year": "2002", "title": "finite length mimo equalization using canonical correlation analysis", "label": [ "75755367", "65244806", "48057537", "207987634", "11413529", "167928553", "153874254" ], "author": [ "2019655328", "756665149" ], "reference": [ "111910962", "633373002", "1491482279", "1647192083", "1744927070", "1869462459", "1887360675", "1956066063", "2016075531", "2030661905", "2037308270", "2063698478", "2083881824", "2091891040", "2096314450", "2097854232", "2097886685", "2102605525", "2106896659", "2111817652", "2115962175", "2118876643", "2128833125", "2132090544", "2133475491", "2141202790", "2143447102", "2149329249", "2150324649", "2151845806", "2152317528", "2155652846", "2164310884", "2165987134", "2166397853", "2166619855", "2167619382", "2293371657", "2296108426", "2403035479", "2492256567", "2798333393" ], "abstract": "we propose finite length multi input multi output mimo equalization methods for smart antenna arrays using the statistical theory of canonical correlations we show that the proposed methods are related to maximum likelihood ml reduced rank channel and noise estimation algorithms in unknown spatially correlated noise as well as to several previously developed equalization schemes", "title_raw": "Finite-length MIMO equalization using canonical correlation analysis", "abstract_raw": "We propose finite-length multi-input multi-output (MIMO) equalization methods for \"smart\" antenna arrays using the statistical theory of canonical correlations. We show that the proposed methods are related to maximum likelihood (ML) reduced-rank channel and noise estimation algorithms in unknown spatially correlated noise as well as to several previously developed equalization schemes." }, { "paper": "2089186488", "venue": "35412551", "year": "2002", "title": "combination of improved multibondic method and the wang landau method", "label": [ "13153151", "64968022", "204493344", "19499675", "37669827", "132725507", "63320529", "122592724" ], "author": [ "2020616359", "1974979857" ], "reference": [], "abstract": "we propose a method for monte carlo simulation of statistical physical models with discretized energy the method is based on several ideas including the cluster algorithm the multicanonical monte carlo method and its acceleration proposed recently by wang and landau as in the multibondic ensemble method proposed by janke and kappler the present algorithm performs a random walk in the space of the bond population to yield the state density as a function of the bond number a test on the ising model shows that the number of monte carlo sweeps required of the present method for obtaining the density of state with a given accuracy is proportional to the system size whereas it is proportional to the system size squared for other conventional methods in addition the method shows a better performance than the original wang landau method in measurement of physical quantities", "title_raw": "Combination of improved multibondic method and the Wang-Landau method.", "abstract_raw": "We propose a method for Monte Carlo simulation of statistical physical models with discretized energy. The method is based on several ideas including the cluster algorithm, the multicanonical Monte Carlo method and its acceleration proposed recently by Wang and Landau. As in the multibondic ensemble method proposed by Janke and Kappler, the present algorithm performs a random walk in the space of the bond population to yield the state density as a function of the bond number. A test on the Ising model shows that the number of Monte Carlo sweeps required of the present method for obtaining the density of state with a given accuracy is proportional to the system size, whereas it is proportional to the system size squared for other conventional methods. In addition, the method shows a better performance than the original Wang-Landau method in measurement of physical quantities." }, { "paper": "2138231578", "venue": "114406506", "year": "2002", "title": "polyharmonic functions on trees", "label": [ "134306372", "62354387", "8077415", "2779844624", "202444582", "118299288", "627467", "120742014" ], "author": [ "2326001769", "2125033397", "2082354490", "185758812" ], "reference": [ "7941026", "346187364", "563397241", "568098988", "587355010", "643404269", "1569236802", "1964603532", "1964713307", "1977167751", "1982766449", "1985107063", "1993487991", "2000228244", "2006603996", "2014528065", "2027990787", "2327417159", "2479906267", "2728986137", "3150750260" ], "abstract": "in this paper we introduce and study polyharmonic functions on trees we prove that the discrete version of the classical riquier problem can be solved on trees next we show that the discrete version of a characterization of harmonic functions due to globevnik and rudin holds for bi harmonic functions on trees furthermore on a homogeneous tree we characterize the polyharmonic functions in terms of integrals with respect to finitely additive measures distributions of certain functions depending on the poisson kernel we define polymartingales on a homogeneous tree and show that the discrete version of a characterization of polyharmonic functions due to almansi holds for polymartingales we then show that on homogeneous trees there are 1 1 correspondences among the space of nth order polyharmonic functions the space of nth order polymartingales and the space of n tuples of distributions finally we study the boundary behavior of polyharmonic functions on homogeneous trees whose associated distributions satisfy various growth conditions", "title_raw": "POLYHARMONIC FUNCTIONS ON TREES", "abstract_raw": "In this paper, we introduce and study polyharmonic functions on trees. We prove that the discrete version of the classical Riquier problem can be solved on trees. Next, we show that the discrete version of a characterization of harmonic functions due to Globevnik and Rudin holds for bi- harmonic functions on trees. Furthermore, on a homogeneous tree we characterize the polyharmonic functions in terms of integrals with respect to finitely-additive measures (distributions) of certain functions depending on the Poisson kernel. We define polymartingales on a homogeneous tree and show that the discrete version of a characterization of polyharmonic functions due to Almansi holds for polymartingales. We then show that on homogeneous trees there are 1-1 correspondences among the space of nth-order polyharmonic functions, the space of nth-order polymartingales, and the space of n-tuples of distributions. Finally, we study the boundary behavior of polyharmonic functions on homogeneous trees whose associated distributions satisfy various growth conditions." }, { "paper": "2027762288", "venue": "79244937", "year": "2002", "title": "on the minimum polynomial of supermatrices", "label": [ "45025165", "101044782", "52153879", "114614502", "25878781", "170412648", "118615104", "97395012", "163635466", "30597210" ], "author": [ "2983551717", "2488086654" ], "reference": [ "1967567091", "1969328885", "1981199109", "1981203397", "1989858105", "1990900137", "1994110555", "1995059574", "2025148421", "2025422591", "2033660948", "2060175616", "2158823467", "3101281249" ], "abstract": "in this paper a new selection of factors for the construction of the minimum polynomial of a supermatrix m is proposed leading to null polynomials of m of lower degree than the degree of the corresponding polynomial obtained by using the method proposed in the work of urrutia and morales 1 the case of 1 1 1 1 supermatrices has been completely discussed moreover the main theorem concerning the construction of the minimum polynomial as a product of factors from the characteristic polynomial in the general case of m n m n supermatrices is given finally we prove that the minimum polynomial of a supermatrix m in general is not unique", "title_raw": "On the minimum polynomial of supermatrices", "abstract_raw": "In this paper, a new selection of factors for the construction of the minimum polynomial of a supermatrix M is proposed, leading to null polynomials of M of lower degree than the degree of the corresponding polynomial obtained by using the method proposed in the work of Urrutia and Morales [1]. The case of (1 + 1) \u00d7 (1 + 1) supermatrices has been completely discussed. Moreover, the main theorem concerning the construction of the minimum polynomial as a product of factors from the characteristic polynomial in the general case of (m + n) \u00d7 (m + n) supermatrices is given. Finally, we prove that the minimum polynomial of a supermatrix M, in general, is not unique." }, { "paper": "1449104625", "venue": "196647941", "year": "2002", "title": "analysis of mean field annealing in substactive interference cancellation", "label": [ "101225446", "28826006", "112680207", "186633575", "83204339", "56296756", "138187205", "92047909", "2781349735" ], "author": [ "2645631498", "2065379623" ], "reference": [ "1497193185", "1541733921", "1914197946", "2014325677", "2024060531", "2059786462", "2063089586", "2073521724", "2080550094", "2082206048", "2086635122", "2087603457", "2089876099", "2090589668", "2098678088", "2104937323", "2106250683", "2108607293", "2119946711", "2124848602", "2129429798", "2136087206", "2141350532", "2144228966", "2147521991", "2151281532", "2159685777", "2161246190", "2620642249" ], "abstract": "in this contribution we derive the cost function corresponding to the linear complexity subtractive interference cancellation with tangent hyperbolic tentative decisions we use the cost function to analyse the fix points of solving the subtractive interference cancellation equations the analysis show that we can control the slope of the tangent hyperbolic functions so that the corresponding cost function is convex we also show that increasing the slope can make the cost non convex going from the convex regime into the non convex regime we prove that the bifurcation of the fix points for non singular signal correlation matrices consist of the fix point of interest together with a saddle node bifurcation this proves that tracking the solution from low slopes with a convex cost gradually increasing to higher slopes with non convex cost can bring us to the best solution being very close to the optimal determined by enumeration this tracking is the idea behind annealing we show monte carlo studies with a substantial signal to noise ratio gain compared to not using annealing we also show how annealing can be used to increase capacity at a given target bit error rate in fact this capacity gain is the same obtained by improved parallel interference cancellation making us believe that the latter includes a mechanism to avoid local minima similar to annealing", "title_raw": "Analysis of Mean Field Annealing in Substactive Interference Cancellation", "abstract_raw": "In this contribution we derive the cost function corresponding to the linear complexity Subtractive Interference Cancellation with tangent hyperbolic tentative decisions. We use the cost function to analyse the fix-points of solving the Subtractive Interference Cancellation equations. The analysis show that we can control the slope of the tangent hyperbolic functions so that the corresponding cost function is convex. We also show that increasing the slope can make the cost non-convex. Going from the convex regime into the non-convex regime, we prove that the bifurcation of the fix-points, for non-singular signal correlation matrices, consist of the fix-point of interest together with a saddle node bifurcation. This proves that tracking the solution from low slopes, with a convex cost, gradually increasing to higher slopes, with non-convex cost, can bring us to the best solution being very close to the optimal determined by enumeration. This tracking is the idea behind annealing. We show Monte Carlo studies with a substantial signal to noise ratio gain compared to not using annealing. We also show how annealing can be used to increase capacity at a given target bit error rate. In fact this capacity gain is the same obtained by Improved Parallel Interference Cancellation making us believe that the latter includes a mechanism to avoid local minima similar to annealing." }, { "paper": "2047100365", "venue": "192217950", "year": "2002", "title": "rigidity of the scattering length spectrum", "label": [ "193435613", "112680207", "195065555", "134306372" ], "author": [ "2061348094" ], "reference": [ "635075573", "1502992081", "1531400338", "1532154335", "1549087646", "1989131439", "1989760504", "2008406373", "2023372860", "2076888138", "2080917551", "2111686268", "2481920901", "2625426837" ], "abstract": "in this paper we consider properties of obstacles satisfying some non degeneracy conditions that can be recovered from the scattering length spectrum sls clearly the latter tells us whether the obstacle k is trapping or non trapping if the set of trapped points is relatively small then the sls also determines the volume of the obstacle the number of its connected components and whether its boundary is convex everywhere or it has non trivial concavities under the additional assumption that the curvature of the obstacle does not vanish of infinite order it is proved that from the sls one can recover certain information about the number of reflection points of any simply reflecting ray in the exterior of the obstacle finally for some special classes of obstacles e g star shaped ones it is shown that the sls completely determines the obstacle", "title_raw": "Rigidity of the scattering length spectrum", "abstract_raw": "In this paper we consider properties of obstacles satisfying some non-degeneracy conditions that can be recovered from the scattering length spectrum (SLS). Clearly the latter tells us whether the obstacle K is trapping or non-trapping. If the set of trapped points is relatively small, then the SLS also determines the volume of the obstacle, the number of its connected components, and whether its boundary is convex everywhere or it has non-trivial concavities. Under the additional assumption that the curvature of the obstacle does not vanish of infinite order, it is proved that from the SLS one can recover certain information about the number of reflection points of any simply reflecting ray in the exterior of the obstacle. Finally, for some special classes of obstacles (e.g. star-shaped ones), it is shown that the SLS completely determines the obstacle." }, { "paper": "1972082874", "venue": "158241587", "year": "2002", "title": "pseudo hermiticity for a class of nondiagonalizable hamiltonians", "label": [ "37914503", "28940832", "118615104", "130367717", "30072841", "158693339", "94940" ], "author": [ "97733193" ], "reference": [ "1509033957", "1575147392", "1997612418", "2045664423", "2051235662", "2069672988", "2081284874", "2084903764", "2088562309", "2689878927", "2739884744", "2890454868", "3092255953", "3100704502", "3124426097", "3125296634" ], "abstract": "we give two characterization theorems for pseudo hermitian possibly nondiagonalizable hamiltonians with a discrete spectrum that admit a block diagonalization with finite dimensional diagonal blocks in particular we prove that for such an operator h the following statements are equivalent 1 h is pseudo hermitian 2 the spectrum of h consists of real and or complex conjugate pairs of eigenvalues and the geometric multiplicity and the dimension of the diagonal blocks for the complex conjugate eigenvalues are identical 3 h is hermitian with respect to a positive semidefinite inner product we further discuss the relevance of our findings for the merging of a complex conjugate pair of eigenvalues of diagonalizable pseudo hermitian hamiltonians in general and the pt symmetric hamiltonians and the effective hamiltonian for a certain closed frw minisuperspace quantum cosmological model in particular", "title_raw": "Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians", "abstract_raw": "We give two characterization theorems for pseudo-Hermitian (possibly nondiagonalizable) Hamiltonians with a discrete spectrum that admit a block-diagonalization with finite-dimensional diagonal blocks. In particular, we prove that for such an operator H the following statements are equivalent: (1) H is pseudo-Hermitian; (2) the spectrum of H consists of real and/or complex-conjugate pairs of eigenvalues and the geometric multiplicity and the dimension of the diagonal blocks for the complex-conjugate eigenvalues are identical; (3) H is Hermitian with respect to a positive-semidefinite inner product. We further discuss the relevance of our findings for the merging of a complex-conjugate pair of eigenvalues of diagonalizable pseudo-Hermitian Hamiltonians in general, and the PT-symmetric Hamiltonians and the effective Hamiltonian for a certain closed FRW minisuperspace quantum cosmological model in particular." }, { "paper": "1966661952", "venue": "3006183880", "year": "2002", "title": "lyapunov exponents for two nonlinear systems driven by real noises", "label": [ "205147927", "2780237018", "49209780", "158693339", "191544260", "158622935", "134306372", "128803854" ], "author": [ "2660182015", "2036434638" ], "reference": [ "1591710988", "1642251103", "1802196594", "1968036626", "1979011691", "1987698316", "2022221320", "2027823613", "2057152026", "2071872064", "2152977586", "2913271239" ], "abstract": "for a van der pol duffing oscillator and a codimension two bifurcation system excited parametrically by a small real noise a model of enhanced generality is developed by assuming that the real noise is the first component of an output vector of a linear filter system which conforms with the detailed balance condition the strong mixing condition and the hypothesis i e the infinitesimal generator of the noise has only one isolated simple zero eigenvalue employed by arnold and co workers in 1986 are not considered to tackle the complexity encountered in the present work the asymptotic analysis approach and the eigenfunction expansion for the solution to the fokker planck equations are applied to calculate the asymptotic expansions of the invariant measures and the maximal lyapunov exponents for the relevant systems", "title_raw": "Lyapunov exponents for two nonlinear systems driven by real noises", "abstract_raw": "For a van der Pol\u2013Duffing oscillator and a codimension\u2013two bifurcation system excited parametrically by a small real noise, a model of enhanced generality is developed by assuming that the real noise is the first component of an output vector of a linear filter system, which conforms with the detailed balance condition. The strong mixing condition and the hypothesis (i.e. the infinitesimal generator of the noise has only one isolated simple zero eigenvalue) employed by Arnold and co\u2013workers in 1986 are not considered. To tackle the complexity encountered in the present work, the asymptotic analysis approach and the eigenfunction expansion for the solution to the Fokker\u2013Planck equations are applied to calculate the asymptotic expansions of the invariant measures and the maximal Lyapunov exponents for the relevant systems." }, { "paper": "2028001482", "venue": "104894821", "year": "2002", "title": "on the definition of word hyperbolic groups", "label": [ "183317087", "156493562", "188641383", "125565743", "2779844624", "40020168", "202444582", "90805587", "146072743", "153912780" ], "author": [ "3009260843" ], "reference": [ "16782913", "28957298", "1535681052", "1545078593", "1549337876", "1610679091", "1993901943", "1997160882", "2005868161", "2010980067", "2026119659", "2059867050" ], "abstract": "formal languages based on multiplication tables of finitely generated groups are investigated and used to give a linguistic characterization of word hyperbolic groups", "title_raw": "On the definition of word hyperbolic groups", "abstract_raw": "Formal languages based on multiplication tables of finitely generated groups are investigated and used to give a linguistic characterization of word hyperbolic groups." }, { "paper": "2073827766", "venue": "158241587", "year": "2002", "title": "solitons in parametrically driven discrete nonlinear schrodinger systems with the exploding range of intersite interactions", "label": [ "200741047", "136628613", "134306372", "158622935", "87651913", "63036615" ], "author": [ "74442579" ], "reference": [ "22667757", "1630120088", "1965171194", "1975583066", "1996547609", "1997350938", "1997631084", "1999078596", "2006405770", "2008476021", "2031686662", "2037690293", "2040042343", "2040377656", "2044491122", "2044630388", "2044827854", "2045462689", "2054743225", "2057661875", "2075863069", "2085133767", "2091296363", "2091823027", "2092229661", "2118575947", "2172546588", "2335872485", "2547741936", "3098887556", "3100082216", "3103699353" ], "abstract": "we present the sequence of parametrically driven discrete nonlinear schrodinger systems with the progressively extending range of intersite couplings in the case of time independent coupling parameters the sequence is reduced to the ablowitz ladik hierarchy which is known to be integrable by the inverse scattering transform however the models with the time dependent intersite interactions are shown to be integrable too irrespective of a particular form of time dependencies of coupling parameters any of such parametrically driven systems might exhibit rather complex soliton dynamics and is described by the unconserved hamiltonian function we reveal an important subclass of parametrically driven systems demonstrating the parametrical localization of soliton dynamics on a confined domain of space meanwhile an appropriate choice of time dependencies in intersite interactions allow us to transform the original parametrically driven system into another one but subjected to the linear external potential as a result the latter system can be readily integrated as well in particular the peculiarities of bloch oscillations in the systems with time independent long range intersite interactions and linear external potential of constant strength are analyzed in general regulating the range of intersite couplings the strengths and time dependencies of coupling parameters we are able to model a number of physically important quasi one dimensional systems we develop an alternative approach to solve the marchenko equations permitting one to obtain the multisoliton solutions in the most simple and natural way finally we point out how to reformulate any model in row in terms of corrected amplitudes with the standard poisson brackets", "title_raw": "Solitons in parametrically driven discrete nonlinear Schr\u00f6dinger systems with the exploding range of intersite interactions", "abstract_raw": "We present the sequence of parametrically driven discrete nonlinear Schrodinger systems with the progressively extending range of intersite couplings. In the case of time-independent coupling parameters the sequence is reduced to the Ablowitz\u2013Ladik hierarchy, which is known to be integrable by the inverse scattering transform. However the models with the time-dependent intersite interactions are shown to be integrable too irrespective of a particular form of time dependencies of coupling parameters. Any of such parametrically driven systems might exhibit rather complex soliton dynamics and is described by the unconserved Hamiltonian function. We reveal an important subclass of parametrically driven systems demonstrating the parametrical localization of soliton dynamics on a confined domain of space. Meanwhile an appropriate choice of time dependencies in intersite interactions allow us to transform the original parametrically driven system into another one but subjected to the linear external potential. As a result the latter system can be readily integrated as well. In particular the peculiarities of Bloch oscillations in the systems with time-independent long range intersite interactions and linear external potential of constant strength are analyzed. In general, regulating the range of intersite couplings, the strengths and time dependencies of coupling parameters, we are able to model a number of physically important quasi-one-dimensional systems. We develop an alternative approach to solve the Marchenko equations permitting one to obtain the multisoliton solutions in the most simple and natural way. Finally, we point out how to reformulate any model in row in terms of corrected amplitudes with the standard Poisson brackets." }, { "paper": "2011500149", "venue": "73535193", "year": "2002", "title": "reconstruction graphs and testing their properties in a relational spatial database", "label": [ "176225458", "203689450", "153938966" ], "author": [ "2716012178", "2575599585" ], "reference": [ "1498880722", "1566493102", "1605899117", "1987374783", "2024491681", "2476039668" ], "abstract": "abstract among other representations the relational databases are also widely used for storing spatial data the model presented in this paper is a slightly modified version of the pla database 1 this spatial relational model serves to represent the topological properties of geographic data in this paper we first investigate the conditions for recognizing some types of the represented graph we show how connectivity 2 connectivity eulerian graphs etc can be characterized using just one relation of the database second we point out redundancies in the representation and connections among the four relations of the database moreover we design efficient linear time algorithms for data retrieval reconstruction of the stored spatial object both in the planar and spherical cases they also serve as constraints checking", "title_raw": "Reconstruction graphs and testing their properties in a relational spatial database", "abstract_raw": "Abstract Among other representations, the relational databases are also widely used for storing spatial data. The model presented in this paper is a slightly modified version of the PLA database [1]. This spatial relational model serves to represent the topological properties of geographic data. In this paper, we first investigate the conditions for recognizing some types of the represented graph. We show how connectivity, 2-connectivity, Eulerian graphs, etc., can be characterized using just one relation of the database. Second, we point out redundancies in the representation and connections among the four relations of the database. Moreover, we design efficient (linear-time) algorithms for data retrieval/reconstruction of the stored spatial object, both in the planar and spherical cases. They also serve as constraints checking." }, { "paper": "2098107949", "venue": "33323087", "year": "2002", "title": "generalized column generation for linear programming", "label": [ "205658194", "144521790", "126255220", "52486349", "41045048", "168956720", "123558587" ], "author": [ "2110355692" ], "reference": [ "1496592812", "2003066927", "2013479503", "2043002484", "2082824470", "2085478109", "2105560970", "2127470768", "2136241751", "2144946856", "2167580124", "2336259629", "2523998199" ], "abstract": "column generation is a well known and widely practiced technique for solving linear programs with too many variables or constraints to include in the initial formulation explicitly instead the required column information is generated at each iteration of the simplex algorithm this paper shows that even if the number of variables is low enough for explicit inclusion in the model with the available technology it may still be more efficient to resort to column generation for some class of problems", "title_raw": "Generalized Column Generation for Linear Programming", "abstract_raw": "Column generation is a well-known and widely practiced technique for solving linear programs with too many variables or constraints to include in the initial formulation explicitly. Instead, the required column information is generated at each iteration of the simplex algorithm. This paper shows that, even if the number of variables is low enough for explicit inclusion in the model with the available technology, it may still be more efficient to resort to column generation for some class of problems." }, { "paper": "2024345355", "venue": "103321696", "year": "2002", "title": "dealing with interval scale data in data envelopment analysis", "label": [ "105795698", "149782125", "22088475" ], "author": [ "2030918430", "2618807190", "2053703216" ], "reference": [ "1984867894", "1998842685", "2022041746", "2032357108", "2052927476", "2054644951", "2057720927", "2073750977", "2076452041", "2088756387", "2092323776", "2104448377", "2127324006", "2142208547", "2157713662", "3146652676" ], "abstract": "abstract this paper considers the problem of interval scale data in the most widely used models of data envelopment analysis dea the ccr and bcc models radial models require inputs and outputs measured on the ratio scale our focus is on how to deal with interval scale variables especially when the interval scale variable is a difference of two ratio scale variables like profit or the decrease increase in bank accounts we suggest the use of these ratio scale variables in a radial dea model", "title_raw": "Dealing with interval scale data in data envelopment analysis", "abstract_raw": "Abstract This paper considers the problem of interval scale data in the most widely used models of data envelopment analysis (DEA), the CCR and BCC models. Radial models require inputs and outputs measured on the ratio scale. Our focus is on how to deal with interval scale variables especially when the interval scale variable is a difference of two ratio scale variables like profit or the decrease/increase in bank accounts. We suggest the use of these ratio scale variables in a radial DEA model." }, { "paper": "2016185133", "venue": "4502562", "year": "2002", "title": "on the equivalence of three reduced rank linear estimators with applications to ds cdma", "label": [ "18537770", "1026927", "185429906", "167928553", "126255220", "176935170", "11413529" ], "author": [ "3166947019", "1750818907", "2091883371" ], "reference": [ "2018843852", "2106069438", "2108052049", "2109974986", "2126022764", "2131634726", "2139092480", "2143557812", "2144228966", "2150749198", "2160313084" ], "abstract": "this correspondence shows the equivalence of three previously proposed reduced rank detection schemes for direct sequence code division multiple access ds cdma communication systems the auxiliary vector filtering avf algorithm is simplified through a key observation on the construction of the auxiliary vectors after simplification it is shown that the avf algorithm is equivalent to the multistage wiener filtering mwf algorithm of honig and goldstein 2002 furthermore these schemes can be shown to be equivalent to the multistage linear receiver scheme based on the cayley hamilton ch theorem when the minimum mean square error mmse criterion is applied to the reduced dimensional space of the received signal", "title_raw": "On the equivalence of three reduced rank linear estimators with applications to DS-CDMA", "abstract_raw": "This correspondence shows the equivalence of three previously proposed reduced-rank detection schemes for direct-sequence code-division multiple-access (DS-CDMA) communication systems. The auxiliary vector filtering (AVF) algorithm is simplified through a key observation on the construction of the auxiliary vectors. After simplification, it is shown that the AVF algorithm is equivalent to the multistage Wiener filtering (MWF) algorithm of Honig and Goldstein (2002). Furthermore, these schemes can be shown to be equivalent to the multistage linear receiver scheme based on the Cayley-Hamilton (CH) theorem when the minimum mean-square error (MMSE) criterion is applied to the reduced dimensional space of the received signal." }, { "paper": "1972575291", "venue": "151579836", "year": "2002", "title": "extensions of hardy inequality", "label": [ "45555294", "77553402", "95611797", "118615104", "132954091", "49766605", "125565743" ], "author": [ "2718543856", "2702981562", "2025638720" ], "reference": [ "1597367747", "2056125351", "2061297583", "2073093847", "2075747575", "2093721283", "2323508259" ], "abstract": "let 1 p and a an k n k 0 denote by a p p the number whose p power is the infimum of those u satisfying the following inequality n 0 k 0 an kxkp u k 0 xk px xn n 0 lp the purpose of this paper is to give an upper bound and a lower bound for a p p our results not only generalize results of bennett borwein and johnson et al but also improve the ones of bennett and borwein and cass we also give a partial answer to problem 7 23 in quart j math oxford 2 49 1998 395 432", "title_raw": "Extensions of Hardy inequality", "abstract_raw": "Let 1 2m, the same result is obtained for a subclass of strongly elliptic operators." }, { "paper": "1987393399", "venue": "50372074", "year": "2002", "title": "iterative refinement of solution with biparameter for solving ill conditioned systems of linear algebraic equations", "label": [ "77346573", "2779982483", "28826006", "94523830", "48753275", "159694833", "6802819", "23917780", "134306372" ], "author": [ "2096241275", "2156125650", "2538800973" ], "reference": [ "187418701", "1594234351", "1966287322", "1971947347", "1979449478", "2013737143", "2016182223", "2075453197", "2140064412", "2892948875", "3022136271" ], "abstract": "although the idea of iteration refinement for improving the computed solution to a system of linear equations can go back to 1948 the technique has remained popular siam philadelphia pa 1998 bit 17 1977 303 math comput 35 1980 817 j numer anal 17 4 1997 495 in this paper a new iterative improvement of solution with biparameter for solving ill conditioned systems of linear algebraic equations is proposed both theoretical convergence analysis and numerical experiments are presented to show the efficiency and accuracy of our method", "title_raw": "Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations", "abstract_raw": "Although the idea of iteration refinement for improving the computed solution to a system of linear equations can go back to 1948, the technique has remained popular [SIAM, Philadelphia, PA, 1998; BIT 17 (1977) 303; Math. Comput. 35 (1980) 817; J. Numer. Anal. 17(4) (1997) 495]. In this paper, a new iterative improvement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations is proposed. Both theoretical convergence analysis and numerical experiments are presented to show the efficiency and accuracy of our method." }, { "paper": "1511318484", "venue": "148709879", "year": "2002", "title": "application of the difference gaussian rules to solution of hyperbolic problems global expansion", "label": [ "28826006", "73000952", "187691185", "181330731", "83295009", "134306372", "111335779", "21809047" ], "author": [ "1267914473", "63149773", "2105974241" ], "reference": [ "1973189718", "1978390553", "2003017040", "2016982898", "2024125574", "2064660626", "2067939568", "2207764726" ], "abstract": "this work is the sequel to s asvadurov et al 2000 j comput phys 158 116 where we considered a grid refinement approach for second order finite difference time domain schemes this approach permits one to compute solutions of certain wave equations with exponential superconvergence an algorithm was presented that generates a special sequence of grid steps called optimal such that a standard finite difference discretization that uses this grid produces an accurate approximation to the neumann to dirichlet map it was demonstrated that the application of this approach to some problems in e g elastodynamics results in a computational cost that is an order of magnitude lower than that of the standard scheme with equally spaced gridnodes which produces the same accuracy the main drawback of the presented approach was that the accurate solution could be obtained only at some a priori selected points receivers here we present an algorithm that given a solution on the coarse optimal grid accurately reconstructs the solution of the corresponding fine equidistant grid with steps that are approximately equal to the minimal step of the optimal strongly nonuniform grid this expansion algorithm is based on postprocessing of the approximate solution is local in time but not in space and has a cost comparable to that of the discrete fourier transform an approximate inverse to the expansion procedure the reduction algorithm is also presented we show different applications of the developed procedures including refinement of a nonmatching grid numerical examples for scalar wave propagation and 2 5d cylindrical elasticity are presented", "title_raw": "Application of the difference Gaussian rules to solution of hyperbolic problems: global expansion", "abstract_raw": "This work is the sequel to S. Asvadurov et al. (2000, J. Comput. Phys. 158, 116), where we considered a grid refinement approach for second-order finite-difference time domain schemes. This approach permits one to compute solutions of certain wave equations with exponential superconvergence. An algorithm was presented that generates a special sequence of grid steps, called \"optimal,\" such that a standard finite-difference discretization that uses this grid produces an accurate approximation to the Neumann-to-Dirichlet map. It was demonstrated that the application of this approach to some problems in, e.g., elastodynamics results in a computational cost that is an order of magnitude lower than that of the standard scheme with equally spaced gridnodes, which produces the same accuracy. The main drawback of the presented approach was that the accurate solution could be obtained only at some a priori selected points (receivers). Here we present an algorithm that, given a solution on the coarse \"optimal\" grid, accurately reconstructs the solution of the corresponding fine equidistant grid with steps that are approximately equal to the minimal step of the optimal (strongly nonuniform) grid. This \"expansion\" algorithm is based on postprocessing of the approximate solution, is local in time (but not in space), and has a cost comparable to that of the discrete Fourier transform. An approximate inverse to the \"expansion\" procedure--the \"reduction\" algorithm--is also presented. We show different applications of the developed procedures, including refinement of a nonmatching grid. Numerical examples for scalar wave propagation and 2.5D cylindrical elasticity are presented." }, { "paper": "2048106068", "venue": "189344224", "year": "2002", "title": "analysis of pulled axisymmetric membranes with wrinkling", "label": [ "202973686", "195065555", "35377427", "48753275", "16140857", "147370603" ], "author": [ "2424902828", "42727153" ], "reference": [ "1556182365", "1968909121", "1970447338", "1988606260", "1993207448", "2004233185", "2006847671", "2013431703", "2015282348", "2017182949", "2041782238", "2066195939", "2079870448", "2081734384", "2090915342", "2114228930", "2128911746", "2131388253" ], "abstract": "the nonlinear behavior of an axisymmetric hyperelastic membrane subjected to pulling forces is analyzed the membrane is considered to be ideal in the sense that it cannot carry compressive stress resultants if the membrane has a positive initial gaussian curvature the pulling gives rise to wrinkles which form over parts of the surface the full nonlinear equations governing the membrane behavior in the doubly tense and in the wrinkled regions are formulated and then solved using a numerical integration procedure solutions for various examples are presented with hookean and neo hookean constitutive behavior these include a few examples of wrinkled membranes with positive initial gaussian curvatures and one example of a membrane with a negative initial gaussian curvature where no wrinkles are formed", "title_raw": "Analysis of pulled axisymmetric membranes with wrinkling", "abstract_raw": "The nonlinear behavior of an axisymmetric hyperelastic membrane subjected to pulling forces is analyzed. The membrane is considered to be ideal in the sense that it cannot carry compressive stress resultants. If the membrane has a positive initial Gaussian curvature, the pulling gives rise to wrinkles which form over parts of the surface. The full nonlinear equations governing the membrane behavior in the doubly tense and in the wrinkled regions are formulated, and then solved using a numerical integration procedure. Solutions for various examples are presented, with Hookean and neo-Hookean constitutive behavior. These include a few examples of wrinkled membranes with positive initial Gaussian curvatures, and one example of a membrane with a negative initial Gaussian curvature, where no wrinkles are formed." }, { "paper": "2043970559", "venue": "189344224", "year": "2002", "title": "on static analysis of finite repetitive structures by discrete fourier transform", "label": [ "99679407", "132312353", "122444316", "134306372", "182310444", "126794175", "79587385", "98644592", "135789939" ], "author": [ "2099310972", "2137423841", "1979526999" ], "reference": [ "32302295", "603083689", "1494646786", "1533155545", "1963585001", "1968121757", "1984504624", "2027919689", "2029215195", "2037569060", "2054124095", "2056764432", "2071404650", "2088895802", "2105672294", "2150360739", "2326886507", "2463776702", "2492202564" ], "abstract": "functional solutions for the static response of beam and plate like repetitive lattice structures are obtained by discrete fourier transform the governing equation is set up as a single operator form with the physical stiffness operator acting as a convolution sum and containing a matrix kernel which relates to the mechanical properties of the lattice boundary conditions do not affect the equation form and are taken into account at a subsequent stage of the analysis the technique of virtual load and substructure is proposed to formally close the repetitive lattice into a cyclic structure and to assure the equivalence of responses of the modified cyclic and original repetitive lattices a discrete periodic green s function is introduced for the modified structure and the final displacement solutions are written as convolution sums over the green s function and the actual external and virtual loads several example problems illustrate the approach", "title_raw": "On static analysis of finite repetitive structures by discrete Fourier transform", "abstract_raw": "Functional solutions for the static response of beam- and plate-like repetitive lattice structures are obtained by discrete Fourier transform. The governing equation is set up as a single operator form with the physical stiffness operator acting as a convolution sum and containing a matrix kernel, which relates to the mechanical properties of the lattice. Boundary conditions do not affect the equation form, and are taken into account at a subsequent stage of the analysis. The technique of virtual load and substructure is proposed to formally close the repetitive lattice into a cyclic structure, and to assure the equivalence of responses of the modified cyclic and original repetitive lattices. A discrete periodic Green's function is introduced for the modified structure, and the final displacement solutions are written as convolution sums over the Green's function and the actual external and virtual loads. Several example problems illustrate the approach." }, { "paper": "2025045601", "venue": "61604500", "year": "2002", "title": "effect of partition line on jamming transition in pedestrian counter flow", "label": [ "134306372", "42812" ], "author": [ "2105368939", "2497883615", "2435640160" ], "reference": [ "1888172398", "1981880051", "2011042166", "2015944391", "2037048139", "2041089283", "2049176600", "2052834627", "2073973347", "2090905078", "2162513114", "2167052694" ], "abstract": "abstract the effect of partition line on the pedestrian counter flow is investigated under the open boundaries by using the lattice gas model of biased random walkers there are two types of walkers without the back step the one is the walker going to the right and the other is the walker going to the left the right left walker prefers to move within outside the partition line right walkers interfere with left walkers near the partition line when the density of right walkers increases under a constant value of left walker density the jamming transition between the freely moving phase and the stopped state occurs at a critical density depending on the left walker density the critical density is compared with that without the partition line the partition line has an important effect on the jamming transition", "title_raw": "Effect of partition line on jamming transition in pedestrian counter flow", "abstract_raw": "Abstract The effect of partition line on the pedestrian counter flow is investigated under the open boundaries by using the lattice-gas model of biased random walkers. There are two types of walkers without the back step: the one is the walker going to the right and the other is the walker going to the left. The right (left) walker prefers to move within (outside) the partition line. Right walkers interfere with left walkers near the partition line. When the density of right walkers increases under a constant value of left-walker density, the jamming transition between the freely moving phase and the stopped state occurs at a critical density depending on the left-walker density. The critical density is compared with that without the partition line. The partition line has an important effect on the jamming transition." }, { "paper": "2054894288", "venue": "192217950", "year": "2002", "title": "two theorems about maximal cohen macaulay modules", "label": [ "62168872", "114614502", "23259944", "31937215", "142109727", "144618667", "37253", "155905171", "143904861" ], "author": [ "2048744610", "40257491" ], "reference": [ "79858623", "1495410784", "1548944036", "1602877338", "1784375627", "1981851028", "1986227848", "1988358587", "1993871113", "2033741729", "2034577609", "2078718034", "2111391748", "2136123291", "2137082934", "2579086261" ], "abstract": "this paper contains two theorems concerning the theory of maximal cohen macaulay modules the first theorem proves that certain ext groups between maximal cohen macaulay modules m and n must have finite length provided only finitely many isomorphism classes of maximal cohen macaulay modules exist having ranks up to the sum of the ranks of m and n this has several corollaries in particular it proves that a cohen macaulay local ring of finite cohen macaulay type has an isolated singularity a well known theorem of auslander gives the same conclusion but requires that the ring be henselian other corollaries of our result include statements concerning when a ring is gorenstein or a complete intersection on the punctured spectrum and the recent theorem of leuschke and wiegand that the completion of an excellent cohen macaulay local ring of finite cohen macaulay type is again of finite cohen macaulay type the second theorem proves that a complete local gorenstein domain of positive characteristic p and dimension d is f rational if and only if the number of copies of r splitting out of r 1 p e divided by p de has a positive limit this result generalizes work of smith and van den bergh we call this limit the f signature of the ring and give some of its properties", "title_raw": "Two theorems about maximal Cohen-Macaulay modules", "abstract_raw": "This paper contains two theorems concerning the theory of maximal Cohen-Macaulay modules. The first theorem proves that certain Ext groups between maximal Cohen-Macaulay modules M and N must have finite length, provided only finitely many isomorphism classes of maximal Cohen-Macaulay modules exist having ranks up to the sum of the ranks of M and N. This has several corollaries. In particular it proves that a Cohen-Macaulay local ring of finite Cohen-Macaulay type has an isolated singularity. A well-known theorem of Auslander gives the same conclusion but requires that the ring be Henselian. Other corollaries of our result include statements concerning when a ring is Gorenstein or a complete intersection on the punctured spectrum, and the recent theorem of Leuschke and Wiegand that the completion of an excellent Cohen-Macaulay local ring of finite Cohen-Macaulay type is again of finite Cohen-Macaulay type. The second theorem proves that a complete local Gorenstein domain of positive characteristic p and dimension d is F-rational if and only if the number of copies of R splitting out of R 1/p e divided by p de has a positive limit. This result generalizes work of Smith and Van den Bergh. We call this limit the F-signature of the ring and give some of its properties." }, { "paper": "2144492279", "venue": "33323087", "year": "2002", "title": "perturbing nonnormal confidential attributes the copula approach", "label": [ "72169020", "165216359", "17618745", "161584116" ], "author": [ "1969993364", "2177122789", "2286165747" ], "reference": [ "90954317", "153748145", "1557915537", "1578810938", "1977873291", "1981961329", "1988694953", "2010182665", "2039625419", "2044307594", "2057571146", "2072719872", "2113427031", "2117848680", "2119436275", "2148005287", "2149234475", "2157774701", "2315592575", "2798180542" ], "abstract": "protecting confidential numerical data in databases from disclosure is an important issue both for commercial organizations as well as data gathering and disseminating organizations such as the census bureau prior studies have shown that perturbation methods are effective in protecting such confidential data from snoopers perturbation methods have to provide legitimate users with accurate unbiased information and also provide adequate security against disclosure of confidential information to snoopers for databases described by nonnormal multivariate distributions existing perturbation methods do not provide unbiased characteristics in this study we develop a copula based perturbation method capable of maintaining the marginal distribution of perturbed attributes to be the same before and after perturbation in addition this method also preserves the rank order correlation between the confidential and nonconfidential attributes thereby maintaining monotonic relationships between attributes the method proposed in this study provides a high level of protection against inferential disclosure an investigation of the new perturbation method for simulated databases shows that the method performs effectively the methodology presented in this study represents a signicant step toward improving the practical applicability of data perturbation methods", "title_raw": "Perturbing Nonnormal Confidential Attributes: The Copula Approach", "abstract_raw": "Protecting confidential, numerical data in databases from disclosure is an important issue both for commercial organizations as well as data-gathering and disseminating organizations (such as the Census Bureau). Prior studies have shown that perturbation methods are effective in protecting such confidential data from snoopers. Perturbation methods have to provide legitimate users with accurate (unbiased) information, and also provide adequate security against disclosure of confidential information to snoopers. For databases described by nonnormal multivariate distributions, existing perturbation methods do not provide unbiased characteristics. In this study, we develop a copula-based perturbation method capable of maintaining the marginal distribution of perturbed attributes to be the same before and after perturbation. In addition, this method also preserves the rank order correlation between the confidential and nonconfidential attributes, thereby maintaining monotonic relationships between attributes. The method proposed in this study provides a high level of protection against inferential disclosure. An investigation of the new perturbation method for simulated databases shows that the method performs effectively. The methodology presented in this study represents a signicant step toward improving the practical applicability of data perturbation methods." }, { "paper": "2090459101", "venue": "99182027", "year": "2002", "title": "transverse vibrations of a circular annular plate with a free inner edge and a secant support", "label": [ "2524010", "31914301" ], "author": [ "2205188304" ], "reference": [ "1964516925", "2026775838", "2031028728" ], "abstract": "", "title_raw": "TRANSVERSE VIBRATIONS OF A CIRCULAR ANNULAR PLATE WITH A FREE INNER EDGE AND A SECANT SUPPORT", "abstract_raw": "" }, { "paper": "2069741998", "venue": "165473669", "year": "2002", "title": "a generating functionology approach to a problem of wilf", "label": [ "156004811", "82240120", "204911207", "52692508", "114614502" ], "author": [ "1030037108", "2113080974", "2147486235" ], "reference": [ "100509257", "2050968221", "2752853835", "2914621247", "3198160809" ], "abstract": "wilf posed the following problem determine asymptotically as n the probability that a randomly chosen part size in a randomly chosen composition of n has multiplicity m one solution of this problem has been given by two of the authors in this paper we study this question using the techniques of generating functions and singularity analysis", "title_raw": "A generating functionology approach to a problem of Wilf", "abstract_raw": "Wilf posed the following problem: determine asymptotically as n \u2192 \u221e the probability that a randomly chosen part size in a randomly chosen composition of n has multiplicity m. One solution of this problem has been given by two of the authors . In this paper, we study this question using the techniques of generating functions and singularity analysis." }, { "paper": "2043032668", "venue": "192217950", "year": "2002", "title": "non trivial simple poles at negative integers and mass concentration at singularity", "label": [ "204575570", "163353815", "114614502", "199422724", "147902342", "16171025", "190333341", "143904861" ], "author": [ "2059022023", "2179161965" ], "reference": [ "2585808586" ], "abstract": "let x 0 be the germ of a normal space of dimension n 1 and let f be the germ at 0 of a holomorphic function on x assume both x and f have an isolated singularity at 0 denote by j the image of the restriction map h n x setminus zeroset map h n f where f is the milnor fibre of f at 0 we prove that the canonical hermitian form on h n f 1 given by poles of order ge 2 at mahtbb z in the meromorphic extension of int x f 2 lambda square passes to the quotient by j and is non degenerate on h n f 1 j we show that any non zero element in j produces a mass concentration at the singularity which is related to a simple pole concentrated at zeroset for f 2 lambda in a non naive sense we conclude with an application to the asymptotic expansion of oscillatory integrals int x mathbb r e i tau f x psi x for psi in c infty c x mathbb r n 1 when tau to infty", "title_raw": "Non-trivial simple poles at negative integers and mass concentration at singularity", "abstract_raw": "Let (X,0) be the germ of a normal space of dimension n+1 and let f be the germ at 0 of a holomorphic function on X. Assume both X and f have an isolated singularity at 0. Denote by J the image of the restriction map \\(H^n(X\\setminus \\zeroset) \\map H^n(F)\\), where F is the Milnor fibre of f at 0. We prove that the canonical Hermitian form on \\(H^n(F)_1\\), given by poles of order \\(\\ge 2\\) at \\({\\mahtbb Z}_-\\) in the meromorphic extension of \\(\\int_X |f|^{2\\lambda } \\square\\), passes to the quotient by J and is non-degenerate on \\({H^n(F)_1}/J\\). We show that any non-zero element in J produces a \u201cmass concentration\u201d at the singularity which is related to a simple pole concentrated at \\(\\zeroset\\) for \\(|f|^{2\\lambda } \\) (in a non-naive sense). We conclude with an application to the asymptotic expansion of oscillatory integrals \\(\\int_{X_{\\mathbb R}} e^{i\\tau f(x)} \\psi(x)\\), for \\(\\psi\\in C^\\infty _c(X_{\\mathbb R})^{n+1}\\), when \\(\\tau \\to \\infty\\)." }, { "paper": "2046799489", "venue": "165512578", "year": "2002", "title": "exponential timestepping with boundary test for stochastic differential equations", "label": [ "27016315", "55350006", "78045399", "63331456", "122700484", "48753275", "51955184", "134306372", "151376022" ], "author": [ "115102200", "1511375603" ], "reference": [ "1484033701", "1521946947", "1544043115", "1575104486", "1591710988", "1657347807", "1982439384", "1983318920", "1996097431", "2009490624", "2011542987", "2033396652", "2066221740", "2082131924", "2086089975", "2129105779", "2145137020", "2152673060", "2163891345" ], "abstract": "we present new numerical methods for scalar stochastic differential equations successive time increments are independent random variables with an exponential distribution we perform numerical experiments using a double well potential exponential timestepping algorithms are efficient for escape time problems because a simple boundary test can be performed at the end of each step", "title_raw": "Exponential Timestepping with Boundary Test for Stochastic Differential Equations", "abstract_raw": "We present new numerical methods for scalar stochastic differential equations. Successive time increments are independent random variables with an exponential distribution. We perform numerical experiments using a double-well potential. Exponential timestepping algorithms are efficient for escape-time problems because a simple boundary test can be performed at the end of each step." }, { "paper": "2079467385", "venue": "70695507", "year": "2002", "title": "existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach", "label": [ "26955809", "109282560", "182310444", "129301229", "134306372", "16171025", "135909967", "2776548862" ], "author": [ "2222379030", "2140111608", "353543658", "2576920546" ], "reference": [ "583292912", "621234224", "1963805757", "2006115790", "2029776139", "2069712418", "2300440957" ], "abstract": "", "title_raw": "Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach", "abstract_raw": "" }, { "paper": "1996513689", "venue": "193920097", "year": "2002", "title": "an analytic center quadratic cut method for the convex quadratic feasibility problem", "label": [ "21440807", "166437778", "81845259", "126949999", "95136341", "80695182", "195956108", "65148998", "114614502" ], "author": [ "2238150945", "2438578019" ], "reference": [ "1525133469", "1565376970", "1632601927", "1973917838", "2035476902", "2084556800", "2095365233" ], "abstract": "we consider a quadratic cut method based on analytic centers for two cases of convex quadratic feasibility problems in the first case the convex set is defined by a finite yet large number n of convex quadratic inequalities we extend quadratic cut algorithm of luo and sun 3 for solving such problems by placing or translating the quadratic cuts directly through the current approximate center we show that in terms of total number of addition and translation of cuts our algorithm has the same polynomial worst case complexity as theirs 3 however the total number of steps where steps consist of damped newton steps function evaluations and arithmetic operations required to update from one approximate center to another is where e is the radius of the largest ball contained in the feasible set in the second case the convex set is defined by an infinite number of certain strongly convex quadratic inequalities we adapt the same quadratic cut method for the first case to the second one we show that in this case the quadratic cut algorithm is a fully polynomial approximation scheme furthermore we show that at each iteration k the total number steps as described above required to update from one approximate center to another is at most with e as defined above", "title_raw": "An analytic center quadratic cut method for the convex quadratic feasibility problem", "abstract_raw": "We consider a quadratic cut method based on analytic centers for two cases of convex quadratic feasibility problems. In the first case, the convex set is defined by a finite yet large number, N, of convex quadratic inequalities. We extend quadratic cut algorithm of Luo and Sun [3] for solving such problems by placing or translating the quadratic cuts directly through the current approximate center. We show that, in terms of total number of addition and translation of cuts, our algorithm has the same polynomial worst case complexity as theirs [3]. However, the total number of steps, where steps consist of (damped) Newton steps, function evaluations and arithmetic operations, required to update from one approximate center to another is \\(\\), where e is the radius of the largest ball contained in the feasible set. In the second case, the convex set is defined by an infinite number of certain strongly convex quadratic inequalities. We adapt the same quadratic cut method for the first case to the second one. We show that in this case the quadratic cut algorithm is a fully polynomial approximation scheme. Furthermore, we show that, at each iteration, k, the total number steps (as described above) required to update from one approximate center to another is at most \\(\\), with e as defined above." }, { "paper": "2024689408", "venue": "53336109", "year": "2002", "title": "enforcing structural connectivity to update damped systems using frequency response", "label": [ "184783062", "81901731", "22789450", "179690561", "11413529", "8590192", "137127113" ], "author": [ "2596317220", "2715970806" ], "reference": [ "1966347179", "1977461970", "2018181997", "2021280609", "2024414262", "2031605731", "2054788644", "2090329667", "2116427193", "2135275272", "2147243899", "2518670699", "3180537549" ], "abstract": "to benefit computational model validation improve active vibration control algorithms and aid damage detection for aging structural systems new approaches are developed to update the analytical system matrices of a damped structure using frequency response when the difference between the measured frequency response data and the analytical predictions is used and the resulting matrix equations are manipulated the mass stiffness and damping correction matrices can be isolated in turn when these correction matrices are rearranged into vector forms the readily available structural connectivity information of the analytical matrices can be enforced thereby preserving the physical configuration of the system and reducing the size of the least squares problems that need to be solved the required solution techniques to perform the model update are introduced and the numerical issues associated with solving overdetermined and underdetermined least squares problems are investigated heuristic criteria are given for determining the minimum number of frequency response data points that need to be measured to ensure sufficiently accurate updated system matrices and numerical experiments are performed to validate the proposed model updating techniques based on using the frequency response data", "title_raw": "Enforcing Structural Connectivity to Update Damped Systems Using Frequency Response", "abstract_raw": "To benefit computational model validation, improve active vibration control algorithms, and aid damage detection for aging structural systems, new approaches are developed to update the analytical system matrices of a damped structure using frequency response. When the difference between the measured frequency response data and the analytical predictions is used and the resulting matrix equations are manipulated, the mass, stiffness, and damping correction matrices can be isolated in turn. When these correction matrices are rearranged into vector forms, the readily available structural connectivity information of the analytical matrices can be enforced, thereby preserving the physical configuration of the system and reducing the size of the least-squares problems that need to be solved. The required solution techniques to perform the model update are introduced, and the numerical issues associated with solving overdetermined and underdetermined least-squares problems are investigated. Heuristic criteria are given for determining the minimum number of frequency-response data points that need to be measured to ensure sufficiently accurate updated system matrices, and numerical experiments are performed to validate the proposed model updating techniques based on using the frequency-response data." }, { "paper": "2171774663", "venue": "61604500", "year": "2002", "title": "slimming of power law tails by increasing market returns", "label": [ "149782125", "87040749", "96016098", "2780766582", "177148314" ], "author": [ "8432206" ], "reference": [ "1501644217", "1537415400", "1537532263", "1556573274", "1576237723", "1582775550", "1788744250", "1930659917", "1966690724", "1969306056", "1981952920", "1986395918", "2005924742", "2007636382", "2023668956", "2027063727", "2042202814", "2051115413", "2052817483", "2061251255", "2061879880", "2086597188", "2095402301", "2100381995", "2110617809", "2147217644", "2171165852", "2501650000", "2570834760", "2950722969", "3104696085", "3121612919", "3122319214", "3123500614" ], "abstract": "abstract we introduce a simple generalization of rational bubble models which removes the fundamental problem discovered by lux and sornette j money credit and banking preprint at http xxx lanl gov abs cond mat 9910141 that the distribution of returns is a power law with exponent r when r is larger than the discount rate r the distribution of returns of the observable price sum of the bubble component and of the fundamental price exhibits an intermediate tail with an exponent which can be larger than 1 this regime r r corresponds to a generalization of the rational bubble model in which the fundamental price is no more given by the discounted value of future dividends we explain how this is possible our model predicts that the higher is the market remuneration r above the discount rate the larger is the power law exponent and thus the thinner is the tail of the distribution of price returns", "title_raw": "\u201cSlimming\u201d of power-law tails by increasing market returns", "abstract_raw": "Abstract We introduce a simple generalization of rational bubble models which removes the fundamental problem discovered by Lux and Sornette (J. Money, Credit and Banking, preprint at http://xxx.lanl.gov/abs/cond-mat/9910141 ) that the distribution of returns is a power law with exponent r . When r is larger than the discount rate r \u03b4 , the distribution of returns of the observable price, sum of the bubble component and of the fundamental price, exhibits an intermediate tail with an exponent which can be larger than 1. This regime r > r \u03b4 corresponds to a generalization of the rational bubble model in which the fundamental price is no more given by the discounted value of future dividends. We explain how this is possible. Our model predicts that, the higher is the market remuneration r above the discount rate, the larger is the power-law exponent and thus the thinner is the tail of the distribution of price returns." }, { "paper": "2077497529", "venue": "24688465", "year": "2002", "title": "a minimum principle for chaotic dynamical systems", "label": [ "79379906", "78045399", "134306372", "158622935", "28826006", "55689738", "115667082" ], "author": [ "2754492771", "2013546931", "2029683788" ], "reference": [ "1991361843", "2050954543", "2068844879", "2095871443", "2102892532", "2489691424", "2506269905" ], "abstract": "abstract discrete time dynamical systems generated by the iteration of nonlinear maps such as the logistic map or the tent map provide interesting examples of chaotic systems but what is the physical principle behind the emergence of these maps in the continuous time settings differential equations of mechanics arise from the minimization of the energy function hamiltonian however there is no general physical principle for the discrete time analogue of differential equations namely maps in this note we present an approach to this problem using a natural definition of energy for chaotic systems we minimize energy subject to the constraint that the observed dynamical system has a known entropy we consider the case where the natural invariant measure is lebesgue invoking the euler lagrange equation we derive a nonlinear second order differential equation whose solution is the chaotic map that minimizes energy", "title_raw": "A minimum principle for chaotic dynamical systems", "abstract_raw": "Abstract Discrete time dynamical systems generated by the iteration of nonlinear maps, such as the logistic map or the tent map, provide interesting examples of chaotic systems. But what is the physical principle behind the emergence of these maps? In the continuous time settings, differential equations of mechanics arise from the minimization of the energy function (Hamiltonian). However, there is no general physical principle for the discrete time analogue of differential equations, namely, maps. In this note, we present an approach to this problem. Using a natural definition of energy for chaotic systems, we minimize energy subject to the constraint that the observed dynamical system has a known entropy. We consider the case where the natural invariant measure is Lebesgue. Invoking the Euler\u2013Lagrange equation, we derive a nonlinear second order differential equation whose solution is the chaotic map that minimizes energy." }, { "paper": "2051131970", "venue": "35412551", "year": "2002", "title": "critical and near critical branching processes", "label": [ "52359947", "87040749", "177255742" ], "author": [ "2018850313", "2124330895" ], "reference": [ "175021000", "2086265313", "2088944761", "2568511220" ], "abstract": "scale free dynamics in physical and biological systems can arise from a variety of causes here we explore a branching process which leads to such dynamics we find conditions for the appearance of power laws and study quantitatively what happens to these power laws when such conditions are violated from a branching process model we predict the behavior of two systems which seem to exhibit near scale free behavior rank frequency distributions of number of subtaxa in biology and abundance distributions of genotypes in an artificial life system in the light of these we discuss distributions of avalanche sizes in the bak tang wiesenfeld sandpile model", "title_raw": "Critical and near-critical branching processes.", "abstract_raw": "Scale-free dynamics in physical and biological systems can arise from a variety of causes. Here, we explore a branching process which leads to such dynamics. We find conditions for the appearance of power laws and study quantitatively what happens to these power laws when such conditions are violated. From a branching process model, we predict the behavior of two systems which seem to exhibit near scale-free behavior\u2014rank-frequency distributions of number of subtaxa in biology, and abundance distributions of genotypes in an artificial life system. In the light of these, we discuss distributions of avalanche sizes in the Bak-Tang-Wiesenfeld sandpile model." }, { "paper": "2028605426", "venue": "105693234", "year": "2002", "title": "sharp asymptotics for isotonic regression", "label": [ "185429906", "139945424", "28826006", "17418463", "164172150", "65778772", "105795698", "133939421", "72169020", "165646398" ], "author": [ "2016881450" ], "reference": [ "1528801940", "1545370368", "1940092327", "1965755064", "1975116882", "1995642533", "2007521907", "2033062730", "2104452301", "2120564791", "2167022934", "2802739963" ], "abstract": "the asymptotic behavior of the isotonic estimator of a monotone regression function that is the least squares estimator under monotonicity restriction is investigated in particular it is proved that the 1 distance between the isotonic estimator and the true function is of magnitude n 1 3 moreover it is proved that a centered version of this 1 distance converges at the n1 2 rate to a gaussian variable with fixed variance", "title_raw": "Sharp asymptotics for isotonic regression", "abstract_raw": "The asymptotic behavior of the isotonic estimator of a monotone regression function (that is the least-squares estimator under monotonicity restriction) is investigated. In particular it is proved that the ?1-distance between the isotonic estimator and the true function is of magnitude n-1/3. Moreover, it is proved that a centered version of this ?1-distance converges at the n1/2 rate to a Gaussian variable with fixed variance." }, { "paper": "2014433837", "venue": "414566", "year": "2002", "title": "two simply connected sets that have the same area are ip equivalent", "label": [ "37724570", "114614502", "167204820", "42781572", "2780990831", "115961682", "184720557" ], "author": [ "2149857775", "2294686300" ], "reference": [ "2066221447" ], "abstract": "abstract a pair of neighboring opposite valued pixels in a two valued digital image is called interchangeable if reversing their values preserves the topology of the image it was conjectured in rosenfeld saha nakamula pattern recognition 34 2001 1853 1865 that if two digital images have the same number of 1 s and their sets of 1 s s t are simply connected then s can be transformed into t by a sequence of interchanges in that paper this conjecture was proved only for certain special cases for example if s and t are arcs this paper proves the conjecture for arbitrary simply connected sets", "title_raw": "Two simply connected sets that have the same area are IP-equivalent", "abstract_raw": "Abstract A pair of neighboring, opposite-valued pixels in a two-valued digital image is called interchangeable if reversing their values preserves the topology of the image. It was conjectured in Rosenfeld, Saha, Nakamula, Pattern Recognition 34 (2001) 1853\u20131865 that if two digital images have the same number of 1's, and their sets of 1's S , T are simply connected, then S can be transformed into T by a sequence of interchanges. In that paper this conjecture was proved only for certain special cases\u2014for example, if S and T are arcs. This paper proves the conjecture for arbitrary simply connected sets." }, { "paper": "2119714013", "venue": "24688465", "year": "2002", "title": "a wavelet method for the characterization of spatiotemporal patterns", "label": [ "121152540", "3705304", "178042281", "24822716" ], "author": [ "2162773192", "2126259290", "2171457635" ], "reference": [ "179924513", "574370508", "1489213177", "1517729176", "1540380506", "1633869374", "1965780682", "1968720886", "1975375020", "1980149518", "1984150177", "1984744374", "1985026103", "1985148657", "1990928392", "1994328650", "1996629272", "1999446610", "2006469669", "2009950026", "2011439994", "2019042019", "2019290985", "2020625101", "2023127584", "2023997020", "2032695494", "2035850635", "2037774528", "2041950407", "2044869919", "2046083265", "2046528357", "2051718836", "2058171933", "2059156454", "2061213546", "2062024414", "2062327691", "2065998336", "2068600378", "2068910417", "2071445322", "2074431971", "2077630222", "2078355631", "2080903044", "2082592315", "2085692129", "2086126894", "2087835601", "2098914003", "2118911240", "2125100491", "2126664531", "2137263451", "2138534995", "2144453995", "2170776032", "3101928842" ], "abstract": "this paper introduces a wavelet based method for the characterization of spatiotemporal patterns based on the wavelet multiresolution analysis two wavelet indices multiscale accumulative density mad and multiscale accumulative change mac are proposed for the characterization of the dynamics of the spatiotemporal patterns both indices are constructed by using orthogonal wavelet projection operators the mad is a measure of the spatial complexity of a pattern at a given time whereas the mac characterizes the spatial complexity of instantaneous change of the spatiotemporal patterns at a given time the ratio of the mad indices between the lowest and the highest scales reflects the order of coherence in a pattern the time series of both mad and mac provide the dynamical information of morphological pattern evolutions numerical experiments based on the cahn hilliard equation indicate that the proposed method is efficient for quantitatively characterizing the dynamics of the spatiotemporal patterns 2002 published by elsevier science b v", "title_raw": "A wavelet method for the characterization of spatiotemporal patterns", "abstract_raw": "This paper introduces a wavelet-based method for the characterization of spatiotemporal patterns. Based on the wavelet multiresolution analysis, two wavelet indices, multiscale accumulative density (MAD) and multiscale accumulative change (MAC), are proposed for the characterization of the dynamics of the spatiotemporal patterns. Both indices are constructed by using orthogonal wavelet projection operators. The MAD is a measure of the spatial complexity of a pattern at a given time, whereas the MAC characterizes the spatial complexity of instantaneous change of the spatiotemporal patterns at a given time. The ratio of the MAD indices between the lowest and the highest scales reflects the order of coherence in a pattern. The time series of both MAD and MAC provide the dynamical information of morphological pattern evolutions. Numerical experiments based on the Cahn\u2013Hilliard equation indicate that the proposed method is efficient for quantitatively characterizing the dynamics of the spatiotemporal patterns. \u00a9 2002 Published by Elsevier Science B.V." }, { "paper": "2083455197", "venue": "35412551", "year": "2002", "title": "scaling behavior of the conserved transfer threshold process", "label": [ "68532491", "99844830", "58442840" ], "author": [ "2678628466" ], "reference": [], "abstract": "we analyze numerically the critical behavior of an absorbing phase transition in the conserved transfer threshold process we determined the steady state scaling behavior of the order parameter as a function of both the control parameter and an external field conjugated to the order parameter the external field is realized as a spontaneous creation of active particles which drives the system away from criticality the obtained results yield that the conserved transfers threshold process belongs to the universality class of absorbing phase transitions in a conserved field", "title_raw": "Scaling behavior of the conserved transfer threshold process.", "abstract_raw": "We analyze numerically the critical behavior of an absorbing phase transition in the conserved transfer threshold process. We determined the steady state scaling behavior of the order parameter as a function of both the control parameter and an external field, conjugated to the order parameter. The external field is realized as a spontaneous creation of active particles which drives the system away from criticality. The obtained results yield that the conserved transfers threshold process belongs to the universality class of absorbing phase transitions in a conserved field." }, { "paper": "2055132356", "venue": "11296630", "year": "2002", "title": "formulas for signal and reverberation with mode stripping and lambert s law", "label": [ "128981478", "20589650" ], "author": [ "2130329733" ], "reference": [], "abstract": "extending david weston s notion of ray invariants and flux it is possible to derive closed form solutions for two way propagation and reverberation in range dependent ducts in particular there is interesting and sometimes surprising behavior when the propagation obeys mode stripping the high angles are preferentially attenuated by bottom losses while the scattering obeys lambert s law high angles are preferentially backscattered there is a regime where reverberation and target follow the same range law postponing reverberation limiting indefinitely from the experimental and databasing point of view it is therefore extremely important to know whether lambert s law is actually obeyed in practice these issues and their implications for signal to background are addressed the formulas allow for range dependent environments and the transition from mode stripping to single mode propagation at long range a modified version for range independent environments includes the effects of refraction on reverberation and signal to background while these formulas cannot compete with numerical calculations in terms of detail they show at a glance the dependence on such parameters as bathymetry critical angle bottom loss within the critical angle here the behavior is illustrated graphically and compared with a numerical model supremo", "title_raw": "Formulas for signal and reverberation with mode\u2010stripping and Lambert\u2019s law", "abstract_raw": "Extending David Weston\u2019s notion of ray invariants and flux it is possible to derive closed\u2010form solutions for two\u2010way propagation and reverberation in range\u2010dependent ducts. In particular, there is interesting and sometimes surprising behavior when the propagation obeys \u2018\u2018mode\u2010stripping\u2019\u2019 (the high angles are preferentially attenuated by bottom losses) while the scattering obeys Lambert\u2019s Law (high angles are preferentially backscattered). There is a regime where reverberation and target follow the same range law, postponing \u2018\u2018reverberation\u2010limiting\u2019\u2019 indefinitely! From the experimental and databasing point of view it is therefore extremely important to know whether Lambert\u2019s Law is actually obeyed in practice. These issues and their implications for signal\u2010to\u2010background are addressed. The formulas allow for range\u2010dependent environments and the transition from mode\u2010stripping to single mode propagation at long range. A modified version for range\u2010independent environments includes the effects of refraction on reverberation and signal\u2010to\u2010background. While these formulas cannot compete with numerical calculations in terms of detail, they show at a glance the dependence on such parameters as bathymetry, critical angle, bottom loss (within the critical angle). Here, the behavior is illustrated graphically and compared with a numerical model, SUPREMO." }, { "paper": "2089100799", "venue": "50372074", "year": "2002", "title": "on the asymptotic behaviour of solutions of certain fifth order ordinary differential equations", "label": [ "2777215656", "48753275", "90377204", "51544822", "114460028", "134306372", "78045399", "53480443" ], "author": [ "2138603634" ], "reference": [ "2019692865", "2063100859", "2138812432", "2231666507", "2301200593" ], "abstract": "our aim in this paper is to present sufficient conditions under which all solutions of 1 1 are uniformly bounded and tend to zero as t", "title_raw": "On the asymptotic behaviour of solutions of certain fifth-order ordinary differential equations", "abstract_raw": "Our aim in this paper is to present sufficient conditions under which all solutions of (1.1) are uniformly bounded and tend to zero as t->~." }, { "paper": "2088663140", "venue": "90727058", "year": "2002", "title": "extensions and submonoids of automatic monoids", "label": [ "2779844624", "93063749", "206901836", "137127113", "125565743", "67858689" ], "author": [ "2162265676", "2100650575" ], "reference": [ "1545078593", "1585649433", "1817451992", "1987561876", "1999298820", "2048263388", "2167954650", "2545792164", "2798619248", "2915052804" ], "abstract": "in this paper submonoids and extensions of automatic and p automatic monoids are studied the concept of a p automatic monoid is a variant on the usual concept of an automatic monoid designed to allow a geometric characterization analogous to the group case in the case of right cancellative monoids the two concepts coincide here we study rational submonoids of p automatic monoids being able to show in many cases that p automaticity is inherited our sharpest results concern rational subgroups also closure properties are established for various notions of extensions of p automatic monoids including different types of products ideal extensions and rees matrix constructions", "title_raw": "Extensions and submonoids of automatic monoids", "abstract_raw": "In this paper, submonoids and extensions of automatic and p-automatic monoids are studied. The concept of a p-automatic monoid is a variant on the usual concept of an automatic monoid designed to allow a geometric characterization analogous to the group case. In the case of right cancellative monoids, the two concepts coincide. Here, we study rational submonoids of (p-)automatic monoids, being able to show in many cases that (p-)automaticity is inherited. Our sharpest results concern rational subgroups. Also, closure properties are established for various notions of extensions of (p-)automatic monoids, including different types of products, ideal extensions, and Rees matrix constructions." }, { "paper": "2018540161", "venue": "40212770", "year": "2002", "title": "a comparison of scores of two protein structures with foldings", "label": [ "65660741", "114614502", "147708781", "68173885" ], "author": [ "2130993935" ], "reference": [ "1975924111", "2010029425", "2012147782", "2016453697", "2016966047", "2037789468", "2052599790", "2059120410", "2075823672", "2086265313", "2086617294", "2093189601", "2094519647", "2143210482", "2751862591" ], "abstract": "let x i i 1 y i i 1 u u i i 1 and v v i i 1 be four i i d sequences of random variables suppose u and v are uniformly distributed on 0 1 3 for each realization of u j 1 j n x i p 1 p n is constructed as a certain permutation of x p 1 p n for any 1 i n also y j p 1 p n 1 j n are constructed the same way based on y j and v j for a score function f we show that formula math has an asymptotic extreme distribution with the same parameters as in the one dimensional case this model is constructed for a comparison of scores of protein structures with foldings", "title_raw": "A comparison of scores of two protein structures with foldings", "abstract_raw": "Let {X i ; i \u2265 1}, {Y i ; i \u2265 1}, {U, U i ; i \u2265 1} and {V, V i ; i \u2265 1} be four i.i.d. sequences of random variables. Suppose U and V are uniformly distributed on [0,1] 3 . For each realization of {U j ; 1 \u2264 j \u2264 n}, {X i,p ; 1 \u2264 p \u2264 n} is constructed as a certain permutation of {X p ; 1 \u2264 p \u2264 n} for any 1 \u2264 i \u2264 n. Also, {Y j,p ; 1 \u2264 p \u2264 n}, 1 \u2264 j \u2264 n, are constructed the same way, based on {Y j } and {V j }. For a score function F, we show that formula math. has an asymptotic extreme distribution with the same parameters as in the one-dimensional case. This model is constructed for a comparison of scores of protein structures with foldings." }, { "paper": "2167578476", "venue": "897311980", "year": "2002", "title": "singularly perturbed control systems with one dimensional fast dynamics", "label": [ "129537906", "78278912", "151201525", "2779906551", "9376300", "65244806", "28826006", "17500928" ], "author": [ "325041896", "19803543" ], "reference": [ "76960327", "565681979", "1515224583", "1820122611", "2005276415", "2013247359", "2018895295", "2019426461", "2033623440", "2073280806", "2073343965", "2077219618", "2088348409", "2096076769", "2101019468", "2157817605", "2325450327", "2327759640", "2802739963" ], "abstract": "the order reduction approach to singularly perturbed control systems suggests employing as a variational limit the differential algebraic system obtained when the small parameter is set to be zero it is known that the method is valid only under restrictive convergence conditions on the fast dynamics we verify in this paper that when the fast state variable is one dimensional the order reduction method is valid in general this is true however when appropriate relaxation is allowed in the reduced order system we also indicate how to extract near optimal solutions to the original system from optimal solutions of the order reduction one along the traditional reasoning of separating time scales examples are displayed showing that without allowing the relaxation the order reduction may not provide the correct limit", "title_raw": "Singularly Perturbed Control Systems with One-Dimensional Fast Dynamics", "abstract_raw": "The order reduction approach to singularly perturbed control systems suggests employing as a variational limit the differential algebraic system obtained when the small parameter is set to be zero. It is known that the method is valid only under restrictive convergence conditions on the fast dynamics. We verify in this paper that, when the fast state variable is one-dimensional, the order reduction method is valid in general. This is true, however, when appropriate relaxation is allowed in the reduced-order system. We also indicate how to extract near optimal solutions to the original system from optimal solutions of the order reduction one along the traditional reasoning of separating time scales. Examples are displayed, showing that, without allowing the relaxation, the order reduction may not provide the correct limit." }, { "paper": "2010629125", "venue": "104894821", "year": "2002", "title": "the oscillation of harmonic and quasiregular mappings", "label": [ "23259944", "114614502", "2779682053", "134306372" ], "author": [ "2173977285", "2083973297" ], "reference": [ "1501601053", "1544375930", "1558343083", "2034408320", "2060903502", "2081480663" ], "abstract": "abstract if u z is harmonic in bbb r 2 with u 0 0 and r 0 we set begin eqnarray m u r sup left u z z r right rm osc u r sup left u z z r right inf left u z z r right end eqnarray a result is obtained which shows in particular that if m u 1 infty and 0 r 1 r 2 1 then a bound for rm osc u r 2 can be obtained in terms of rm osc u r 1 alpha m u 1 1 alpha for a suitable constant alpha 1 so that the logarithm of the oscillation has an approximate convexity property the proof uses classical inequalities of hadamard and borel caratheodory and this suggests a generalization to quasiregular mappings in bbb r n such results are obtained though necessarily in a less precise form because of the lack of good explicit estimates for mathcal a harmonic measures in spherical ring domains", "title_raw": "The oscillation of harmonic and quasiregular mappings", "abstract_raw": "Abstract. If u(z) is harmonic in \n${\\Bbb R}^2$\n with \n$u (0) = 0$\n and \n$r>0$\n we set \n\\begin{eqnarray*} M(u,r)&=&\\sup\\left\\{u(z):|z| < r\\right\\},{\\rm osc} (u,r)&=&\\sup\\left\\{u(z):|z|< r\\right\\}-\\inf \\left\\{u(z):|z| < r\\right\\}. \\end{eqnarray*} A result is obtained which shows, in particular that if \n$M(u,1)<\\infty$\n and \n$0 < r_1 < r_2 < 1$\n then a bound for \n${\\rm osc} (u,r_2)$\n can be obtained in terms of \n$[{\\rm osc} (u,r_1)]^\\alpha M(u,1)^{1-\\alpha}$\n for a suitable constant \n$\\alpha<1$\n , so that the logarithm of the oscillation has an approximate convexity property. The proof uses classical inequalities of Hadamard and Borel\u2013Caratheodory and this suggests a generalization to quasiregular mappings in \n${\\Bbb R}^n$\n . Such results are obtained, though necessarily in a less precise form because of the lack of good explicit estimates for \n${\\mathcal A}$\n -harmonic measures in spherical ring domains." }, { "paper": "2141181705", "venue": "85738991", "year": "2002", "title": "performance study of the local polynomial approximation based beamforming in the presence of moving sources", "label": [ "54197355", "90119067", "126255220", "11413529", "66251956" ], "author": [ "2201473978", "2011819731" ], "reference": [ "1994322283", "1995169872", "2116414176", "2133515443", "2134642887", "2134704878", "2140728947", "2146184442", "2146768108", "2149755721", "2162654459", "2164549078", "2165801498" ], "abstract": "a windowed local polynomial approximation lpa of time varying directions of arrival is used to develop an lpa beamformer for localization of rapidly moving sources closed form expressions are obtained for the bias and variance of the lpa beamformer in the moving source case and the problem of the optimal window choice is discussed", "title_raw": "Performance study of the local polynomial approximation based beamforming in the presence of moving sources", "abstract_raw": "A windowed local polynomial approximation (LPA) of time-varying directions of arrival is used to develop an LPA-beamformer for localization of rapidly moving sources. Closed-form expressions are obtained for the bias and variance of the LPA-beamformer in the moving source case and the problem of the optimal window choice is discussed." }, { "paper": "2160143685", "venue": "168680287", "year": "2002", "title": "block adaptive filters with deterministic reference inputs for event related signals blms and brls", "label": [ "32617633", "139945424", "102248274", "145249878", "126255220", "11413529", "176012381" ], "author": [ "2309622850", "1916106232", "2176243375" ], "reference": [ "1492221128", "1563527684", "1602659231", "1966326061", "1967421018", "1985817935", "2019789878", "2021836035", "2022597732", "2027282255", "2035319517", "2056183107", "2062483276", "2076980557", "2087114706", "2101033806", "2102406499", "2115446590", "2120790961", "2134609314", "2139092480", "2140061337", "2144553060", "2157592374", "2163683771", "2170317615" ], "abstract": "adaptive estimation of the linear coefficient vector in truncated expansions is considered for the purpose of modeling noisy recurrent signals two different criteria are studied for block wise processing of the signal the mean square error mse and the least squares ls error the block lms blms algorithm being the solution of the steepest descent strategy for minimizing the mse is shown to be steady state unbiased and with a lower variance than the lms algorithm it is demonstrated that blms is equivalent to an exponential averager in the subspace spanned by the truncated set of basis functions the block recursive least squares brls solution is shown to be equivalent to the blms algorithm with a decreasing step size the brls is unbiased at any occurrence number of the signal and has the same steady state variance as the blms but with a lower variance at the transient stage the estimation methods can be interpreted in terms of linear time variant filtering the performance of the methods is studied on an ecg signal and the results show that the performance of the block algorithms is superior to that of the lms algorithm in addition measurements with clinical interest are found to be more robustly estimated in noisy signals", "title_raw": "Block adaptive filters with deterministic reference inputs for event-related signals: BLMS and BRLS", "abstract_raw": "Adaptive estimation of the linear coefficient vector in truncated expansions is considered for the purpose of modeling noisy, recurrent signals. Two different criteria are studied for block-wise processing of the signal: the mean square error (MSE) and the least squares (LS) error. The block LMS (BLMS) algorithm, being the solution of the steepest descent strategy for minimizing the MSE, is shown to be steady-state unbiased and with a lower variance than the LMS algorithm. It is demonstrated that BLMS is equivalent to an exponential averager in the subspace spanned by the truncated set of basis functions. The block recursive least squares (BRLS) solution is shown to be equivalent to the BLMS algorithm with a decreasing step size. The BRLS is unbiased at any occurrence number of the signal and has the same steady-state variance as the BLMS but with a lower variance at the transient stage. The estimation methods can be interpreted in terms of linear, time-variant filtering. The performance of the methods is studied on an ECG signal, and the results show that the performance of the block algorithms is superior to that of the LMS algorithm. In addition, measurements with clinical interest are found to be more robustly estimated in noisy signals." }, { "paper": "2064852362", "venue": "148709879", "year": "2002", "title": "unconditionally stable methods for hamilton jacobi equations", "label": [ "3445786", "57691317", "2778975207", "134306372", "73000952", "26955809", "48753275", "2778860007" ], "author": [ "1991979489", "1975758058" ], "reference": [ "131530310", "153353184", "1527832896", "1532111732", "1576802482", "1972578258", "1984487771", "1985145851", "1988044952", "1991113069", "1991223352", "1992812527", "1994609182", "1998483100", "2001630674", "2015130302", "2022926609", "2027438381", "2038327721", "2038831503", "2039241950", "2039802576", "2047497215", "2053882301", "2055064622", "2055793237", "2060242824", "2063785035", "2068000676", "2069739494", "2072472676", "2079578802", "2091656256", "2091704977", "2092435235", "2095148363", "2131218796", "2166786387", "2279931843", "2482978852", "2749408143", "3021722416" ], "abstract": "we present new numerical methods for constructing approximate solutions to the cauchy problem for hamilton jacobi equations of the form ut h dxu 0 the methods are based on dimensional splitting and front tracking for solving the associated non strictly hyperbolic system of conservation laws pt dx h p 0 where p dx u in particular our methods depend heavily on a front tracking method for one dimensional scalar conservation laws with discontinuous coefficients the proposed methods are unconditionally stable in the sense that the time step is not limited by the space discretization and they can be viewed as large time step godunov type or front tracking methods we present several numerical examples illustrating the main features of the proposed methods we also compare our methods with several methods from the literature", "title_raw": "Unconditionally stable methods for Hamilton--Jacobi equations", "abstract_raw": "We present new numerical methods for constructing approximate solutions to the Cauchy problem for Hamilton-Jacobi equations of the form ut + H(Dxu)=0. The methods are based on dimensional splitting and front tracking for solving the associated (non-strictly hyperbolic) system of conservation laws pt + Dx H(p) = 0, where p = Dx u. In particular, our methods depend heavily on a front tracking method for one-dimensional scalar conservation laws with discontinuous coefficients. The proposed methods are unconditionally stable in the sense that the time step is not limited by the space discretization and they can be viewed as \"large-time-step\" Godunov-type (or front tracking) methods. We present several numerical examples illustrating the main features of the proposed methods. We also compare our methods with several methods from the literature." }, { "paper": "2041488490", "venue": "61604500", "year": "2002", "title": "complex form reduction and lie poisson structure for the nonlinearized spectral problem of the heisenberg hierarchy", "label": [ "197375991", "49209780", "121770821", "4042151", "134306372", "202444582", "168619227", "197900985", "200741047", "187915474" ], "author": [ "2678825475" ], "reference": [ "128458161", "401402256", "402030428", "1524590822", "1573927207", "1588860486", "1631114555", "1964521256", "1970271550", "1977137061", "1978900512", "1999191577", "2010702169", "2011741718", "2013866380", "2024893230", "2035243207", "2039253532", "2059318156", "2061948950", "2065891052", "2075284342", "2084386115", "2085076845", "2227235496", "3038698521", "3135593729" ], "abstract": "abstract in this paper the relation between the different restricted systems associated with the heisenberg magnetic hm equation is studied by the reduction procedure with the help of a lie group homomorphism of su 2 into so 3 the euler rodriguez type parameters are introduced to generate new finite dimensional integrable system it has shown that the resulting system which is the nonlinearized spectral problem of hm hierarchy on c2n is a hamiltonian system in complex form further poisson reduction and lie poisson structure are derived by the method of invariants the reduced system is found to be a hamiltonian system on the orbit space c2n tn r3n coinciding with the nonlinearized lenard spectral problem moreover the fully reduced systems on the leaves of the symplectic foliation are also given specifically the reduction extended to the common level set of the complex cones is the usual 2 2 nonlinearized spectral problem finally the integrability of the system with lie poisson structure is proven by making use of the so 3 symmetry", "title_raw": "Complex form, reduction and Lie\u2013Poisson structure for the nonlinearized spectral problem of the Heisenberg hierarchy", "abstract_raw": "Abstract In this paper, the relation between the different restricted systems associated with the Heisenberg magnetic (HM) equation is studied by the reduction procedure. With the help of a Lie group homomorphism of SU (2) into SO (3) , the Euler\u2013Rodriguez-type parameters are introduced to generate new finite-dimensional integrable system. It has shown that the resulting system, which is the nonlinearized spectral problem of HM hierarchy on C2N, is a Hamiltonian system in complex form. Further, Poisson reduction and Lie\u2013Poisson structure are derived by the method of invariants. The reduced system is found to be a Hamiltonian system on the orbit space C2N/TN\u2243R3N, coinciding with the nonlinearized Lenard spectral problem. Moreover, the fully reduced systems on the leaves of the symplectic foliation are also given. Specifically, the reduction extended to the common level set of the complex cones is the usual 2\u00d72 nonlinearized spectral problem. Finally, the integrability of the system with Lie\u2013Poisson structure is proven by making use of the SO (3) symmetry." }, { "paper": "2037592439", "venue": "169411308", "year": "2002", "title": "a class of convex fuzzy mappings", "label": [ "144170203", "148671577", "115740575", "100516043", "118615104", "127385683", "166586474" ], "author": [ "2110624363", "2928365664" ], "reference": [ "580032574", "613411769", "1505076599", "1557098843", "1729590981", "1977189574", "1977914365", "1979033456", "1987832787", "1990605562", "1994178762", "2008230680", "2022705598", "2024133240", "2052664014", "2069069851", "2070669484", "2077941982", "2078333264", "2089518238", "2912565176" ], "abstract": "based on the concept of ordering defined by goetschel and voxman fuzzy sets and systems 18 1996 31 in this paper we present the concepts of epigraph and convexity of the fuzzy mappings and describe characteristics of the convex fuzzy mappings and quasi convex fuzzy mappings then we discuss the properties of convex fuzzy optimizations", "title_raw": "A class of convex fuzzy mappings", "abstract_raw": "Based on the concept of ordering defined by Goetschel and Voxman (Fuzzy Sets and Systems 18 (1996) 31), in this paper we present the concepts of epigraph and convexity of the fuzzy mappings, and describe characteristics of the convex fuzzy mappings and quasi-convex fuzzy mappings. Then, we discuss the properties of convex fuzzy optimizations." }, { "paper": "2071729865", "venue": "70695507", "year": "2002", "title": "convergence of rothe s method for smoothed stefan problems", "label": [ "134306372", "93779851", "2778021227", "135628077", "73000952", "3770464" ], "author": [ "2707124003" ], "reference": [ "597907832", "1547403762", "1977101071", "1978926871", "1985554304", "1991066164", "2008821004", "2023111075", "2046128877", "2062438340", "2065980224", "2082621526", "2324452751", "2482580142", "2564405982", "3091814460" ], "abstract": "", "title_raw": "Convergence of Rothe's method for smoothed Stefan problems", "abstract_raw": "" }, { "paper": "1994610856", "venue": "151579836", "year": "2002", "title": "an extension of carlson s inequality", "label": [ "2778029271", "125565743", "90985795", "45555294", "46979015" ], "author": [ "2044740706", "10411120" ], "reference": [ "568723592", "2798735774" ], "abstract": "abstract an extension of carlson s inequality is made by using the euler maclaurin summation formula the integral analogues of this inequality are also presented", "title_raw": "An Extension of Carlson's Inequality", "abstract_raw": "Abstract An extension of Carlson's inequality is made by using the Euler\u2013Maclaurin summation formula. The integral analogues of this inequality are also presented." }, { "paper": "2072748754", "venue": "79244937", "year": "2002", "title": "transition behaviour in the asymptotic long time limit and theoretical approach", "label": [ "2777215656", "103278499", "12426560", "50341643", "134306372", "151201525", "10927425", "178042281", "178685544" ], "author": [ "2121135641" ], "reference": [ "1504035215", "1964722086", "1977725429", "1986174023", "1986221810", "1991153407", "2003074651", "2006429178", "2007606315", "2018427770", "2038221120", "2045462689", "2084424977", "2085247228", "2112137862", "2114894119", "2124138287", "2143423258", "2264002775", "3001297680" ], "abstract": "to explore the two different long time limit behaviours decaying and non decaying to zero for t of a dynamical quantity we present a theoretical approach which analyses a continued fraction cf representation of the quantity on the basis of our analysis we show that the two asymptotic behaviours are characterized by a structure of cf coefficients and that there exists a certain condition that determines the transition between the two limits in addition a measure is introduced to predict the transition we apply our theory to various systems to confirm its validity the nondecay behaviour involves a kind of feedback process in a dynamical system the appearance of a dynamical similarity near the transition is discussed", "title_raw": "Transition behaviour in the asymptotic long-time limit and theoretical approach", "abstract_raw": "To explore the two different long-time limit behaviours (decaying and non-decaying to zero for t \u2192 \u221e) of a dynamical quantity, we present a theoretical approach which analyses a continued fraction (CF) representation of the quantity. On the basis of our analysis, we show that the two asymptotic behaviours are characterized by a structure of CF coefficients, and that there exists a certain condition that determines the transition between the two limits. In addition a measure is introduced to predict the transition. We apply our theory to various systems to confirm its validity. The nondecay behaviour involves a kind of feedback process in a dynamical system. The appearance of a dynamical similarity near the transition is discussed." }, { "paper": "1969640518", "venue": "62401924", "year": "2002", "title": "penalized spline estimation for partially linear single index models", "label": [ "199163554", "45923927", "126255220", "9260844", "188649462", "28826006", "74127309", "176012381", "46889948", "48921125" ], "author": [ "2632783034", "1994349981" ], "reference": [ "1481221946", "1528905581", "1749810476", "1968172088", "1978930761", "1990420052", "1995945562", "2014725748", "2027106381", "2034562813", "2049496090", "2053200087", "2065540158", "2069409480", "2070779353", "2073208705", "2083005776", "2084803500", "2086067392", "2091886411", "2093825731", "2099756352", "2103116581", "2109785413", "2129003284", "2136175429", "2162240567", "2162870748", "2163490846", "2167834874", "2335410250", "2797508167", "2797583072", "3124543013" ], "abstract": "single index models are potentially important tools for multivariate nonparametric regression they generalize linear regression by replacing the linear combination 0tx with a nonparametric component 0 0tx where 0 is an unknown univariate link function by reducing the dimensionality from that of a general covariate vector x to a univariate index 0tx single index models avoid the so called curse of dimensionality we propose penalized spline p spline estimation of 0 in partially linear single index models where the mean function has the form 0 0tx 0tz the p spline approach offers a number of advantages over other fitting methods for single index models all parameters in the p spline single index model can be estimated simultaneously by penalized nonlinear least squares as a direct least squares fitting method our approach is rapid and computationally stable standard nonlinear least squares software can be used moreover joint inference for 0 0 and 0 is possible by", "title_raw": "Penalized Spline Estimation for Partially Linear Single-Index Models", "abstract_raw": "Single-index models are potentially important tools for multivariate nonparametric regression. They generalize linear regression by replacing the linear combination \u03b10Tx with a nonparametric component, \u03b70(\u03b10Tx), where \u03b70(\u00b7) is an unknown univariate link function. By reducing the dimensionality from that of a general covariate vector x to a univariate index \u03b10Tx, single-index models avoid the so-called \u201ccurse of dimensionality.\u201d We propose penalized spline (P-spline) estimation of \u03b70(\u00b7) in partially linear single-index models, where the mean function has the form \u03b70(\u03b10Tx) + \u03b2 0Tz. The P-spline approach offers a number of advantages over other fitting methods for single-index models. All parameters in the P-spline single-index model can be estimated simultaneously by penalized nonlinear least squares. As a direct least squares fitting method, our approach is rapid and computationally stable. Standard nonlinear least squares software can be used. Moreover, joint inference for \u03b70(\u00b7), \u03b10, and \u03b20 is possible by..." }, { "paper": "1709282685", "venue": "60030702", "year": "2002", "title": "the one phase free boundary problem for the p laplacian with non constant bernoulli boundary condition", "label": [ "42045870", "134306372", "163681178", "200661725", "12108790", "154416045", "49870271", "108257041", "182310444" ], "author": [ "2697619263", "150146775" ], "reference": [ "45904991", "113910361", "644710670", "1522699118", "1540102108", "1544375930", "1588713757", "1598756325", "1606355662", "1866311589", "1970957146", "1974562499", "1982071274", "1991546909", "1996950513", "2006224789", "2009953281", "2011802002", "2023538357", "2046183269", "2050885966", "2067218091", "2080621295", "2094782089", "2188246828", "2490271507", "2601533802", "2726646143", "3114876058" ], "abstract": "our objective here is to generalize our earlier results on the existence of classical convex solution to a free boundary problem with a bernoulli type boundary gradient condition and with the p laplacian as the governing operator the main theorems of this paper assert that the exterior and the interior free boundary problem with a bernoulli law i e with a prescribed pressure a x on the free streamline of the flow have convex solutions provided the initial domains are convex the continuous function a x is subject to certain convexity properties in our earlier results we have considered the case of constant a x in the lines of the proof of the main results we also prove the semi continuity up to the boundary of the gradient of the p capacitary potentials in convex rings with c 1 boundaries", "title_raw": "The one phase free boundary problem for the p-Laplacian with non-constant Bernoulli boundary condition", "abstract_raw": "Our objective, here, is to generalize our earlier results on the existence of classical convex solution to a free boundary problem with a Bernoulli-type boundary gradient condition and with the p-Laplacian as the governing operator. The main theorems of this paper assert that the exterior and the interior free boundary problem with a Bernoulli law, i.e. with a prescribed pressure a(x) on the free streamline of the flow, have convex solutions provided the initial domains are convex. The continuous function a(x) is subject to certain convexity properties. In our earlier results we have considered the case of constant a(x). In the lines of the proof of the main results we also prove the semi-continuity (up to the boundary) of the gradient of the p-capacitary potentials in convex rings, with C-1 boundaries." }, { "paper": "2050458697", "venue": "79244937", "year": "2002", "title": "delocalization phenomena in one dimensional models with long range correlated disorder a perturbative approach", "label": [ "130432447", "191544260", "207467116", "129844170", "194145944", "134306372" ], "author": [ "2690897838" ], "reference": [ "1595019369", "1608924486", "1976455428", "1981080599", "1991477098", "1991860720", "1993576163", "1994371574", "2014938441", "2015009177", "2017568870", "2023410244", "2033399365", "2043891104", "2052036322", "2056623375", "2063858117", "2065817882", "2067458737", "2068566902", "2072804782", "2080797393", "2083005995", "2084224130", "2084533055", "2102787760", "2120062331", "2123314108", "3101563700", "3103104850" ], "abstract": "we study the nature of electronic states in one dimensional continuous models with weak correlated disorder using a perturbative approach we compute the inverse localization length lyapunov exponent up to terms proportional to the fourth power of the potential this makes it possible to analyse the delocalization transition which takes place when the disorder exhibits specific long range correlations we find that the transition consists of a change of the lyapunov exponent which switches from a quadratic to a quartic depending on the strength of the disorder within the framework of the fourth order approximation we also discuss the different localization properties which distinguish gaussian from non gaussian random potentials", "title_raw": "Delocalization phenomena in one-dimensional models with long-range correlated disorder: a perturbative approach", "abstract_raw": "We study the nature of electronic states in one-dimensional continuous models with weak correlated disorder. Using a perturbative approach, we compute the inverse localization length (Lyapunov exponent) up to terms proportional to the fourth power of the potential; this makes it possible to analyse the delocalization transition which takes place when the disorder exhibits specific long-range correlations. We find that the transition consists of a change of the Lyapunov exponent, which switches from a quadratic to a quartic depending on the strength of the disorder. Within the framework of the fourth-order approximation we also discuss the different localization properties which distinguish Gaussian from non-Gaussian random potentials." }, { "paper": "2064161403", "venue": "184954342", "year": "2002", "title": "an adaptive compensator for a class of linearly parameterized systems", "label": [ "5917680", "181085449", "6802819", "65244806", "2778601603", "165464430", "107464732", "167964875" ], "author": [ "2158978194" ], "reference": [ "2015383506", "2101270679", "2152880707" ], "abstract": "a compensation design for a class of linearly parameterized systems is presented the compensator consists of a typical linearizing control and an adaptive observer for online estimation of the system s parameters the proposed method achieves the asymptotic stability of the tracking and estimation error dynamics provided the basis functions in the regressor vector are linearly independent in terms of the desired system states no persistent excitation and measurement of the highest derivatives of the system states are required a numerical example is given to demonstrate the validity of the proposed design", "title_raw": "An adaptive compensator for a class of linearly parameterized systems", "abstract_raw": "A compensation design for a class of linearly parameterized systems is presented. The compensator consists of a typical linearizing control and an adaptive observer for online estimation of the system's parameters. The proposed method achieves the asymptotic stability of the tracking and estimation error dynamics, provided the basis functions in the regressor vector are linearly independent in terms of the desired system states. No persistent excitation and measurement of the highest derivatives of the system states are required. A numerical example is given to demonstrate the validity of the proposed design." }, { "paper": "2117481519", "venue": "79244937", "year": "2002", "title": "anisotropic step mutual contact and area weighted festoons and parallelogram polyominoes on the triangular lattice", "label": [ "2777620828", "114614502", "2777215656", "99844830", "118615104", "144618667", "69919132", "27783845", "90626534" ], "author": [ "2464292777", "1659035978", "2440962359" ], "reference": [ "176561841", "619899907", "1504241636", "1574083318", "1966578568", "1969036334", "1969162562", "1970530322", "1980457679", "1980486012", "1982517379", "1982577436", "1989353020", "1994344559", "1997024121", "1999694873", "2000249012", "2004056472", "2014724230", "2019739677", "2023693949", "2026297875", "2036252950", "2036455170", "2044408173", "2045714358", "2046479912", "2046672373", "2059337798", "2066486509", "2067293120", "2068724900", "2070622420", "2075684367", "2091216084", "2092108367", "2100633843", "2104529109", "2110975678", "2143037973", "2163600426", "2327812169", "2913109207", "2914659449" ], "abstract": "we present results for the generating functions of polygons and more general objects that can touch constructed from two fully directed walks on the infinite triangular lattice enumerated according to each type of step and weighted proportional to the area and the number of contacts between the directed sides of the objects in general these directed objects are known as festoons being constructed from the so called friendly directed walks while the subset constructed from vicious walks are staircase polygons also known as parallelogram polyominoes additionally we give explicit formulae for various first area moment generating functions that is when the area is summed over all configurations with a given perimeter these results generalize and summarize nearly all known results on the square lattice since such results can be obtained by setting one of the step weights to zero all our results for the triangular lattice are new and hence provide the opportunity to study subtle changes in scaling between lattices in most cases we give our results both in terms of ratios of infinite q series and as continued fractions", "title_raw": "Anisotropic step, mutual contact and area weighted festoons and parallelogram polyominoes on the triangular lattice", "abstract_raw": "We present results for the generating functions of polygons and more general objects that can touch, constructed from two fully directed walks on the infinite triangular lattice, enumerated according to each type of step and weighted proportional to the area and the number of contacts between the directed sides of the objects. In general these directed objects are known as festoons, being constructed from the so-called friendly directed walks, while the subset constructed from vicious walks are staircase polygons, also known as parallelogram polyominoes. Additionally, we give explicit formulae for various first area-moment generating functions, that is when the area is summed over all configurations with a given perimeter. These results generalize and summarize nearly all known results on the square lattice, since such results can be obtained by setting one of the step weights to zero. All our results for the triangular lattice are new and hence provide the opportunity to study subtle changes in scaling between lattices. In most cases we give our results both in terms of ratios of infinite q-series and as continued fractions." }, { "paper": "2007279962", "venue": "151579836", "year": "2002", "title": "lp convergence rate to diffusion waves for p system with relaxation", "label": [ "49344536", "70641290", "134306372", "26955809", "59696629", "153635880" ], "author": [ "2636501739", "2161866724" ], "reference": [ "305332711", "1985006985", "2009546107", "2020455980", "2026739813", "2027974963", "2067207246", "2072437212", "2073447845", "2073809154", "2087757234", "2093360174", "2095375160", "2323367134" ], "abstract": "in this paper we consider the asymptotic behavior of solution for the cauchy problem for p system with relaxation vt ux 0 ut p v x 1 f v u e with initial data v u x 0 v0 x u0 x v0 u as x i by applying the elementary energy method and the green function method for the parabolic equation we obtain the l p convergence rate to the diffusion waves for the cauchy", "title_raw": "Lp-convergence rate to diffusion waves for p-system with relaxation", "abstract_raw": "In this paper, we consider the asymptotic behavior of solution for the Cauchy problem for p-system with relaxation \ufffd vt \u2212 ux = 0, ut + p(v)x = 1 (f (v) \u2212 u), (E) with initial data (v, u)(x, 0) = \ufffd v0(x), u0(x) \ufffd \u2192 (v0 ,u \u00b1), as x \u2192\u00b1 \u221e. (I) By applying the elementary energy method and the Green function method for the parabolic equation, we obtain the L p -convergence rate to the diffusion waves for the Cauchy" }, { "paper": "2106122951", "venue": "159544283", "year": "2002", "title": "small polynomial matrix presentations of nonnegative matrices", "label": [ "126352355", "156778621", "90119067", "139018669", "101044782", "62555958", "114614502", "9376300", "149488123" ], "author": [ "2165033221", "2103052262" ], "reference": [ "1500921805", "1536254292", "1545748428", "1551959850", "1565611252", "1583841129", "1964042213", "1993312035", "1995875735", "2004185271", "2004269411", "2015661827", "2024274666", "2039134288", "2041404167", "2043287448", "2047459896", "2093013597", "2128824283", "2134584331", "2144292795", "2323436636", "2326792270" ], "abstract": "we investigate the use of polynomial matrices to give efficient presentations of nonnegative matrices exhibiting prescribed spectral and algebraic behavior", "title_raw": "Small polynomial matrix presentations of nonnegative matrices", "abstract_raw": "We investigate the use of polynomial matrices to give efficient presentations of nonnegative matrices exhibiting prescribed spectral and algebraic behavior." }, { "paper": "2094991318", "venue": "151579836", "year": "2002", "title": "sequences of 0 s and 1 s new results via double sequence spaces", "label": [ "137127113", "36503486", "30711495", "29701004", "114614502", "118615104", "34388435", "108710211", "37724570", "70710897" ], "author": [ "1915157077", "2318859436", "1997996792" ], "reference": [ "569646276", "648393860", "1491683357", "1965474238", "1994133833", "2092405948", "2316825817" ], "abstract": "abstract this paper continues the joint investigation by bennett et al 2001 of the extent to which sequence spaces are determined by the sequences of 0 s and 1 s that they contain the first main result gives a negative answer to question 6 in their paper there exists a sequence space e such that each matrix domain containing all of the sequences of zeros and ones in e contains all of e but such that this statement fails if we replace matrix domains by separable fk spaces the second main result goes on from hahn s theorem that tells us that each matrix domain including the set of all sequences of 0 s and 1 s contains all of the bounded sequences it is shown that there exists a really small subset of such that hahn s theorem remains true when is replaced with it the proofs of both results have in common that by identifying sequence spaces and double sequence spaces the constructions and the required investigations are done in double sequence spaces that allow the description of finer structures", "title_raw": "Sequences of 0's and 1's: new results via double sequence spaces", "abstract_raw": "Abstract This paper continues the joint investigation by Bennett et al. (2001) of the extent to which sequence spaces are determined by the sequences of 0's and 1's that they contain. The first main result gives a negative answer to Question\u00a06 in their paper: There exists a sequence space E such that each matrix domain containing all of the sequences of zeros and ones in E contains all of E, but such that this statement fails, if we replace matrix domains by separable FK-spaces. The second main result goes on from Hahn's theorem that tells us that each matrix domain including \u03c7, the set of all sequences of 0's and 1's, contains all of the bounded sequences: It is shown that there exists a really \u2018small\u2019 subset \u03c7 of \u03c7 such that Hahn's theorem remains true when \u03c7 is replaced with it. The proofs of both results have in common that, by identifying sequence spaces and double sequence spaces, the constructions and the required investigations are done in double sequence spaces that allow the description of finer structures." }, { "paper": "2556031297", "venue": "56603566", "year": "2002", "title": "stability analysis for autonomous nonlinear systems an interval approach", "label": [ "28826006", "191252586", "17539733", "134306372", "2776829284", "36625806", "158622935" ], "author": [ "2565207236", "2222108038", "2014608000", "1239088172" ], "reference": [], "abstract": "", "title_raw": "Stability analysis for autonomous nonlinear systems: An interval approach", "abstract_raw": "" }, { "paper": "2071865629", "venue": "184147796", "year": "2002", "title": "toward a characterization of the sporadic groups of suzuki and thompson", "label": [ "2779844624", "113335291" ], "author": [ "2064847128", "2109932293", "2129740960" ], "reference": [ "12766527", "1570047016", "1991192224", "1996340738", "2062380879", "2063633079", "2125615295", "2763966159" ], "abstract": "", "title_raw": "Toward a characterization of the sporadic groups of Suzuki and Thompson", "abstract_raw": "" }, { "paper": "2179912099", "venue": "897311980", "year": "2002", "title": "efficient constrained model predictive control with asymptotic optimality", "label": [ "126255220", "62354387", "78278912", "159176650", "6802819", "12426560", "147504629" ], "author": [ "2133497161", "2197796096" ], "reference": [], "abstract": "a computationally inexpensive model predictive control strategy for constrained linear systems is presented we describe an efficiently computed suboptimal control law which is exponentially stabilizing in the presence of constraints and which converges asymptotically to the conditions for constrained optimality with respect to the receding horizon optimization the free parameters in input predictions are adapted online on the basis of the gradient of the predicted performance index and the boundary of the admissible set for an autonomous prediction system a differential description of the admissible set boundary enables efficient detection of active constraints the approach is illustrated via simulation examples", "title_raw": "Efficient Constrained Model Predictive Control with Asymptotic Optimality", "abstract_raw": "A computationally inexpensive model predictive control strategy for constrained linear systems is presented. We describe an efficiently computed suboptimal control law which is exponentially stabilizing in the presence of constraints and which converges asymptotically to the conditions for constrained optimality with respect to the receding horizon optimization. The free parameters in input predictions are adapted online on the basis of the gradient of the predicted performance index and the boundary of the admissible set for an autonomous prediction system. A differential description of the admissible set boundary enables efficient detection of active constraints. The approach is illustrated via simulation examples." }, { "paper": "2044026466", "venue": "151579836", "year": "2002", "title": "criterion for the family of e starlike mappings", "label": [ "112680207", "24129628", "132954091", "126794175", "202444582", "20050597" ], "author": [ "2775942182", "2619882396" ], "reference": [ "1987312967", "1992778363", "2092312981", "2481829252" ], "abstract": "we introduce the family of e starlike mappings in purpose to treat the family of convex mappings and the family of starlike mappings as one family and to describe one family how to transit to another one in this paper we consider the criterion for the family of e starlike mappings", "title_raw": "Criterion for the family of \u03b5 starlike mappings", "abstract_raw": "We introduce the family of e starlike mappings, in purpose to treat the family of convex mappings and the family of starlike mappings as one family, and to describe one family how to transit to another one. In this paper, we consider the criterion for the family of e starlike mappings." }, { "paper": "2070692345", "venue": "153560523", "year": "2002", "title": "separation of np completeness notions", "label": [ "17231256", "114614502", "118615104", "131583701" ], "author": [ "2150759953", "1983273066" ], "reference": [ "1581655906", "1638203394", "1697825390", "1966945335", "1969728959", "1982717290", "1986203294", "1993138363", "2004243323", "2024309621", "2039334189", "2053392269", "2057512592", "2066804259", "2068655609", "2070150049", "2080139332", "2081902982", "2085634981", "2087899564", "2125495920", "2169825513", "2173911363", "2567019620", "2804621131" ], "abstract": "we use hypotheses of structural complexity theory to separate various np completeness notions in particular we introduce an hypothesis from which we describe a set in np that is mbox leq rm p rm t complete but not mbox leq rm p tt complete we provide fairly thorough analyses of the hypotheses that we introduce", "title_raw": "Separation of NP-Completeness Notions", "abstract_raw": "We use hypotheses of structural complexity theory to separate various NP-completeness notions. In particular, we introduce an hypothesis from which we describe a set in NP that is $\\mbox{${\\leq}^{\\rm P}_{\\rm T}$}$-complete but not $\\mbox{${\\leq}^{\\rm P}_{tt}$}$-complete. We provide fairly thorough analyses of the hypotheses that we introduce." }, { "paper": "2006431071", "venue": "203348814", "year": "2002", "title": "a constraint satisfaction approach for enclosing solutions to parametric ordinary differential equations", "label": [ "126255220", "136954975", "34862557", "48753275", "186429297", "26955809", "51544822", "44616089", "78045399" ], "author": [ "2923406290", "301883243", "1223747355" ], "reference": [ "31566127", "191550043", "306903215", "1509923322", "1515827155", "1551916084", "1580809199", "1595067819", "1971947347", "1995504856", "1999163452", "2010069926", "2012580470", "2051110650", "2084965339", "2122851205", "2152960982", "2167206762", "2729772152", "3141151088", "3185484028" ], "abstract": "this paper considers initial value problems for ordinary differential equations odes where some of the data is uncertain and given by intervals as is the case in many areas of science and engineering interval methods provide a way to approach these problems but they raise fundamental challenges in obtaining high accuracy and low computation costs this work introduces a constraint satisfaction approach to these problems which enhances traditional interval methods with a pruning step based on a global relaxation of the ode the relaxation uses hermite interpolation polynomials and enclosures of their error terms to approximate the ode our work also shows how to find an evaluation time for the relaxation that minimizes its local error theoretical and experimental results show that the approach produces significant improvements in accuracy over the best interval methods for the same computation costs the results also indicate that the new algorithm should be significantly faster when the ode contains many operations", "title_raw": "A Constraint Satisfaction Approach for Enclosing Solutions to Parametric Ordinary Differential Equations", "abstract_raw": "This paper considers initial value problems for ordinary differential equations (ODEs), where some of the data is uncertain and given by intervals as is the case in many areas of science and engineering. Interval methods provide a way to approach these problems, but they raise fundamental challenges in obtaining high accuracy and low computation costs. This work introduces a constraint satisfaction approach to these problems which enhances traditional interval methods with a pruning step based on a global relaxation of the ODE. The relaxation uses Hermite interpolation polynomials and enclosures of their error terms to approximate the ODE. Our work also shows how to find an evaluation time for the relaxation that minimizes its local error. Theoretical and experimental results show that the approach produces significant improvements in accuracy over the best interval methods for the same computation costs. The results also indicate that the new algorithm should be significantly faster when the ODE contains many operations." }, { "paper": "2055246367", "venue": "35412551", "year": "2002", "title": "phase synchronization and stochastic resonance effects in the crayfish caudal photoreceptor", "label": [ "158622935", "65244806" ], "author": [ "2942559872", "2100723770", "2181688871", "2147008411" ], "reference": [ "1620414136", "1868425944", "1964175467", "1968938034", "1983617554", "2007857879", "2018229731", "2045448715", "2101510938", "2105550101", "2110755409", "2129524642", "2159353177", "2181433211", "2185026519", "2271608872", "2342195710" ], "abstract": "we study the nonlinear response of the crayfish caudal photoreceptor to periodic mechanical stimuli in terms of stochastic synchronization the amplitude and frequency of the mechanical stimuli and the light level are used as control parameters the system shows multiple locking regions as the stimulus frequency is varied we find that the synchronization index increases as the signal to noise ratio snr of the periodic drive in response to increasing light levels this effect exhibits features similar to stochastic resonance we demonstrate a nonlinear rectification effect in which the snr of the second harmonic of the input stimulus increases as the light level is raised and show that the corresponding synchronization index increases as the snr of the second harmonic", "title_raw": "Phase synchronization and stochastic resonance effects in the crayfish caudal photoreceptor.", "abstract_raw": "We study the nonlinear response of the crayfish caudal photoreceptor to periodic mechanical stimuli in terms of stochastic synchronization. The amplitude and frequency of the mechanical stimuli and the light level are used as control parameters. The system shows multiple locking regions as the stimulus frequency is varied. We find that the synchronization index increases as the signal-to-noise ratio (SNR) of the periodic drive, in response to increasing light levels; this effect exhibits features similar to stochastic resonance. We demonstrate a nonlinear rectification effect in which the SNR of the second harmonic of the input stimulus increases as the light level is raised, and show that the corresponding synchronization index increases as the SNR of the second harmonic." }, { "paper": "2060177694", "venue": "59933527", "year": "2002", "title": "exploiting random walks for learning", "label": [ "121194460", "49937458", "60509570", "110121322", "2776472464", "11413529" ], "author": [ "1849627065", "2505314252", "2054773594" ], "reference": [ "195848389", "1503728428", "1543818864", "1858345456", "2017031328", "2019363670", "2022124343", "2027808858", "2033675068", "2045291344", "2066946347", "2070829286", "2087907345", "2088776358", "2129113961", "2147303334", "2157563859" ], "abstract": "in this paper we consider an approach to passive learning in contrast to the classical pac model we do not assume that the examples are independently drawn according to an underlying distribution but that they are generated by a time driven process we define deterministic and probabilistic learning models of this sort and investigate the relationships between them and with other models the fact that successive examples are related can often be used to gain additional information similar to the information gained by membership queries we show how this can be used to design on line prediction algorithms in particular we present efficient algorithms for exactly identifying boolean threshold functions and 2 term rse and for learning 2 term dnf when the examples are generated by a random walk on 0 1 n", "title_raw": "Exploiting random walks for learning", "abstract_raw": "In this paper we consider an approach to passive learning. In contrast to the classical PAC model we do not assume that the examples are independently drawn according to an underlying distribution, but that they are generated by a time-driven process. We define deterministic and probabilistic learning models of this sort and investigate the relationships between them and with other models. The fact that successive examples are related can often be used to gain additional information similar to the information gained by membership queries. We show how this can be used to design on-line prediction algorithms. In particular, we present efficient algorithms for exactly identifying Boolean threshold functions and 2-term RSE, and for learning 2-term-DNF, when the examples are generated by a random walk on {0, 1}n." }, { "paper": "2121723322", "venue": "98347115", "year": "2002", "title": "chtoucas de drinfeld et correspondance de langlands", "label": [ "2778534379" ], "author": [ "2585491318" ], "reference": [ "82394311", "356833037", "1590252182", "1594206242", "1966698537", "2014244908", "2014370253", "2015010463", "2054577666", "2057818762", "2080615275", "2087736116", "2088995118", "2163792781", "2313060306", "2328765014", "2334582556", "2758698766", "2964290280" ], "abstract": "on demontre la correspondance de langlands pour gl r sur les corps de fonctions la preuve generalise celle de drinfeld en rang 2 elle consiste a realiser la correspondance en rang r dans la cohomologie l adique des varietes modulaires de chtoucas de drinfeld de rang r", "title_raw": "Chtoucas de Drinfeld et correspondance de Langlands", "abstract_raw": "On demontre la correspondance de Langlands pour GL r sur les corps de fonctions. La preuve generalise celle de Drinfeld en rang 2 : elle consiste a realiser la correspondance en rang r dans la cohomologie l-adique des varietes modulaires de chtoucas de Drinfeld de rang r." }, { "paper": "2092294618", "venue": "192217950", "year": "2002", "title": "higher dimensional complex kleinian groups", "label": [ "125565743" ], "author": [ "2271990047", "317573524" ], "reference": [ "53919287", "62510570", "119118230", "151383068", "177767806", "184286686", "618356207", "1480611223", "1487033877", "1494599013", "1495027777", "1511378139", "1520325860", "1523577997", "1530501787", "1537355824", "1565171775", "1567571844", "1572341022", "1584784306", "1599515144", "1606658881", "1765368745", "1968041289", "1977303561", "1982659418", "1985192075", "1989217839", "1992879334", "2014951786", "2018104278", "2019688676", "2021838836", "2023768015", "2028436687", "2028737870", "2032317001", "2036138621", "2041117423", "2043289687", "2044651712", "2045535200", "2048863587", "2053350222", "2057042937", "2061096368", "2065516294", "2066489800", "2075051561", "2085585078", "2086526374", "2092325253", "2112797376", "2117148518", "2119461448", "2122164683", "2126479355", "2127571733", "2164933268", "2265584650", "2319592858", "2321861266", "2329729431", "2396271922", "2497258252", "2585833166", "2587009767", "2966619628", "3049299997", "3146176610" ], "abstract": "", "title_raw": "Higher dimensional complex Kleinian groups", "abstract_raw": "" }, { "paper": "2029420682", "venue": "200871675", "year": "2002", "title": "the balance between nonlinear inwards and outwards boundary flux for a nonlinear heat equation", "label": [ "37914503", "134306372", "62354387", "158622935" ], "author": [ "2952269186", "2110179391", "2294540640" ], "reference": [ "1013457174", "1846266294", "1974590820", "1982139883", "1993969078", "1996791617", "2019992078", "2030304783", "2041714615", "2042451067", "2046358495", "2071483975", "2079786066", "2081407931", "2087893294", "2093146030", "2328370078", "2363455964", "2464930458", "2732551679" ], "abstract": "abstract we study nonnegative solutions of u t u m xx x t 0 l 0 t u m x 0 t u p 0 t t 0 t u m x l t u q l t t 0 t u x 0 u 0 x x 0 l where m p q and l are positive parameters for different values of the parameters three situations may occur 1 all solutions of this problem exist for all t 0 2 for certain initial data functions the solution exists for all t 0 while for others the solution blows up as t t for some finite t 3 excepting the trivial solution when u0 0 all solutions blow up as t t for some finite t we identify in terms of the parameters which of them actually happens for solutions which blow up we find the blow up rate and the blow up set", "title_raw": "The Balance between Nonlinear Inwards and Outwards Boundary Flux for a Nonlinear Heat Equation", "abstract_raw": "Abstract We study nonnegative solutions of u t =(u m ) xx (x,t)\u2208(0,L)\u00d7(0,T), \u2212(u m ) x (0,t)=u p (0,t), t\u2208(0,T), (u m ) x (L,t)=\u2212\u03bbu q (L,t), t\u2208(0,T), u(x,0)=u 0 (x), x\u2208(0,L), where m, p, q, \u03bb and L are positive parameters. For different values of the parameters three situations may occur: (1) all solutions of this problem exist for all t>0; (2) for certain initial data functions the solution exists for all t>0 while for others the solution blows up as t\u2197T for some finite T; (3) excepting the trivial solution when u0\u22610, all solutions blow up as t\u2197T for some finite T. We identify in terms of the parameters which of them actually happens. For solutions which blow up we find the blow-up rate and the blow-up set." }, { "paper": "2076378832", "venue": "192650101", "year": "2002", "title": "two way fuzzy adaptive identification and control of a flexible joint robot arm", "label": [ "17350324", "11413529", "65244806", "5263885", "127385683", "29470771", "148671577" ], "author": [ "2036524328", "365743512", "45827666" ], "reference": [ "1569189826", "1570082825", "1600047650", "1966155599", "1980564456", "1987247229", "2002117827", "2008550148", "2009178724", "2028337110", "2036652665", "2037096860", "2041134377", "2045507624", "2050229045", "2056322462", "2088657354", "2108239253", "2114832876", "2124776405", "2135471914", "2154195231", "2157870664" ], "abstract": "abstract the objective in this paper is to apply our proposed two way fuzzy adaptive system that makes use of intuitionistic fuzzy sets to the identification and model based control of a flexible joint robot arm uncertainty and inconsistency are modelled in the proposed system such as uncertainty is the width of the interval introduced by the independent assignment of membership and nonmembership functions of the intuitionistic fuzzy sets and inconsistency is the violation of the consistency inequality in this assignment we reduce uncertainty and inconsistency through a two phase training the first phase is to reduce inconsistency introduced by the inconsistent assignment of membership and nonmembership functions the resultant system is an almost consistent two way fuzzy adaptive system thus an evaluation of the degree of reduction of inconsistency is needed and is carried out at the end of this phase by forming the shadowed set patterns of the membership and nonmembership functions after first phase of training the system is further trained for a second phase in order to reduce uncertainty the system performance has shown that this second phase of training renders the system totally one way fuzzy adaptive", "title_raw": "Two-way fuzzy adaptive identification and control of a flexible-joint robot arm", "abstract_raw": "Abstract The objective in this paper is to apply our proposed two-way fuzzy adaptive system that makes use of intuitionistic fuzzy sets to the identification and model-based control of a flexible-joint robot arm. Uncertainty and inconsistency are modelled in the proposed system such as uncertainty is the width of the interval introduced by the independent assignment of membership and nonmembership functions of the intuitionistic fuzzy sets; and inconsistency is the violation of the consistency inequality in this assignment. We reduce uncertainty and inconsistency through a two phase training. The first phase is to reduce inconsistency introduced by the inconsistent assignment of membership and nonmembership functions. The resultant system is an almost consistent two-way fuzzy adaptive system. Thus, an evaluation of the degree of reduction of inconsistency is needed and is carried out at the end of this phase by forming the shadowed set patterns of the membership and nonmembership functions after first phase of training. The system is further trained for a second phase in order to reduce uncertainty. The system performance has shown that this second phase of training renders the system totally one-way fuzzy adaptive." }, { "paper": "1965030420", "venue": "53336109", "year": "2002", "title": "sensitivity of turbulence in transpired channel to injection velocity small scale nonuniformity", "label": [ "180925781", "2524010", "151890184" ], "author": [ "3017257753", "2095814515", "2161293853" ], "reference": [ "1603579846", "1991102741", "1992674254", "2001339376", "2007006467", "2012947216", "2031284873", "2044789872", "2045255630", "2061863349", "2071285068", "2072019318", "2334778802" ], "abstract": "turbulence in a channel flow with a fully transpired wall has been investigated experimentally two dimensional particle image velocimetry is used to measure the instantaneous flowfields within the channel for two different porous surfaces a 6 35 mm honeycomb and a 3 175 mm honeycomb the 6 35 mm honeycomb creates a larger fluctuation of the injection velocity than the 3 175 mm honeycomb by a factor of 1 7 the boundary conditions on the porous surface are very important to the internal core flow evolution and flow pattern for a coarse porous surface the 6 35 mm honeycomb with higher perturbation level on the transpiration surface the mean flow differs significantly from the classical laminar solution and computational results and much more turbulent shear stress is indicated however with small pore size the 3 175 mm honeycomb with relatively lower perturbation level on the surface the mean velocity profiles are very close to the analytical laminar solution for a considerable downstream length and the turbulent shear stress is much smaller than in the first case therefore profound modification of the flow structure can occur due to the effect of nonideal wall boundary conditions on the porous surface", "title_raw": "Sensitivity of Turbulence in Transpired Channel to Injection Velocity Small-Scale Nonuniformity", "abstract_raw": "Turbulence in a channel flow with a fully transpired wall has been investigated experimentally. Two-dimensional particle image velocimetry is used to measure the instantaneous flowfields within the channel for two different porous surfaces: a 6.35-mm honeycomb and a 3.175-mm honeycomb. The 6.35-mm honeycomb creates a larger fluctuation of the injection velocity than the 3.175-mm honeycomb by a factor of 1.7. The boundary conditions on the porous surface are very important to the internal core flow evolution and flow pattern. For a coarse porous surface (the 6.35-mm honeycomb with higher perturbation level on the transpiration surface), the mean flow differs significantly from the classical laminar solution and computational results, and much more turbulent shear stress is indicated. However, with small pore size (the 3.175-mm honeycomb, with relatively lower perturbation level on the surface), the mean velocity profiles are very close to the analytical laminar solution for a considerable downstream length, and the turbulent shear stress is much smaller than in the first case. Therefore, profound modification of the flow structure can occur due to the effect of nonideal wall boundary conditions on the porous surface" }, { "paper": "2059069376", "venue": "136982523", "year": "2002", "title": "decay of almost periodic solutions of conservation laws", "label": [ "3445786", "134306372", "98644592", "57691317", "99844830" ], "author": [ "2133531279" ], "reference": [ "266369307", "640319177", "1555034674", "1571871558", "1577634535", "1980805198", "1982305009", "1992812527", "1994710706", "1994930222", "1999447349", "2003277691", "2008564433", "2011669849", "2013789957", "2013834011", "2017042872", "2025950566", "2026388260", "2028280022", "2038991247", "2039997169", "2065075601", "2077931540", "2082783235", "2085515692", "2092292171", "2093522111", "2498435225", "2504713890", "2531000207", "2573847088", "2783879869", "2942654932" ], "abstract": "we consider the asymptotic behavior of solutions of systems of inviscid or viscous conservation laws in one or several space variables which are almost periodic in the space variables in a generalized sense introduced by stepanoff and wiener which extends the original one of h bohr we prove that if u x t is such a solution whose inclusion intervals at time t with respect to 0 satisfy l epsiv t t 0 as t and such that the scaling sequence u t x t u t x t t is pre compact as t in l loc 1 d 1 then u x t decays to its mean value which is independent of t as t the decay considered here is in l 1 loc of the variable x t which implies as we show that as t where m x denotes taking the mean value with respect to x in many cases we show that if the initial data are almost periodic in the generalized sense then so also are the solutions we also show in these cases how to reduce the condition on the growth of the inclusion intervals l t with t as t for fixed 0 to a condition on the growth of l 0 with as 0 which amounts to imposing restrictions only on the initial data we show with a simple example the existence of almost periodic non periodic functions whose inclusion intervals satisfy any prescribed growth condition as 0 the applications given here include inviscid and viscous scalar conservation laws in several space variables some inviscid systems in chromatography and isentropic gas dynamics as well as many viscous 2 2 systems such as those of nonlinear elasticity and eulerian isentropic gas dynamics with artificial viscosity among others in the case of the inviscid scalar equations and chromatography systems the class of initial data for which decay results are proved includes in particular the l generalized limit periodic functions our procedures can be easily adapted to provide similar results for semilinear and kinetic relaxations of systems of conservation laws", "title_raw": "Decay of Almost Periodic Solutions\u00b6of Conservation Laws", "abstract_raw": "We consider the asymptotic behavior of solutions of systems of inviscid or viscous conservation laws in one or several space variables, which are almost periodic in the space variables in a generalized sense introduced by Stepanoff and Wiener, which extends the original one of H. Bohr. We prove that if u(x,t) is such a solution whose inclusion intervals at time t, with respect to \u025b>0, satisfy l\n\n epsiv;(t)/t\u21920 as t\u2192\u221e, and such that the scaling sequence u\n\n T\n (x,t)=u(T x,T t) is pre-compact as t\u2192\u221e in L\n\n loc\n\n 1(\u211d\n d\n +1\n\n +, then u(x,t) decays to its mean value , which is independent of t, as t\u2192\u221e. The decay considered here is in L\n\n 1\n\n loc of the variable \u03be\u2261x/t, which implies, as we show, that as t\u2192\u221e, where M\n\n x\n denotes taking the mean value with respect to x. In many cases we show that, if the initial data are almost periodic in the generalized sense, then so also are the solutions. We also show, in these cases, how to reduce the condition on the growth of the inclusion intervals l\n\n \u025b(t) with t, as t\u2192\u221e, for fixed \u025b > 0, to a condition on the growth of l\n\n \u025b(0) with \u025b, as \u025b\u2192 0, which amounts to imposing restrictions only on the initial data. We show with a simple example the existence of almost periodic (non-periodic) functions whose inclusion intervals satisfy any prescribed growth condition as \u025b\u2192 0. The applications given here include inviscid and viscous scalar conservation laws in several space variables, some inviscid systems in chromatography and isentropic gas dynamics, as well as many viscous 2 \u00d7 2 systems such as those of nonlinear elasticity and Eulerian isentropic gas dynamics, with artificial viscosity, among others. In the case of the inviscid scalar equations and chromatography systems, the class of initial data for which decay results are proved includes, in particular, the L\n\n \u221e generalized limit periodic functions. Our procedures can be easily adapted to provide similar results for semilinear and kinetic relaxations of systems of conservation laws." }, { "paper": "2010834763", "venue": "99182027", "year": "2002", "title": "frequency domain arx model and multi harmonic frf estimators for non linear dynamic systems", "label": [ "19118579", "8590192", "6802819", "65244806", "23548689" ], "author": [ "2186213851" ], "reference": [ "1572919062", "1632887608", "1663639259", "1965324089", "1987482461", "1991437389", "1991777572", "2001006234", "2013913072", "2016188227", "2016639370", "2028847290", "2074400455", "2075444547", "2087108628", "2089142757", "2095154080", "2293599327", "2798431467", "2994876357" ], "abstract": "abstract non linear dynamic systems respond at frequencies other than the excitation frequency however standard frequency response function estimators for linear systems do not accommodate this harmonic distortion a new multi harmonic frequency response function estimator that utilizes discrete frequency models for non linear systems is introduced here the multi harmonic estimator relates the frequency response at each frequency to the input and output spectra within a given frequency band in the same way that autoregressive exogenous input models relate inputs and outputs at particular samples in the time domain overdetermined least mean squares calculations are used to minimize model error throughout a frequency band rather than at a single frequency as in the corresponding linear estimators the resulting multi harmonic frequency response function models are non parametric e g vary with amplitude when linear functions are used and parametric when non linear functions are used a new sensitive indicator for experimentally characterizing non linearity is introduced", "title_raw": "FREQUENCY DOMAIN ARX MODEL AND MULTI-HARMONIC FRF ESTIMATORS FOR NON-LINEAR DYNAMIC SYSTEMS", "abstract_raw": "Abstract Non-linear dynamic systems respond at frequencies other than the excitation frequency; however, standard frequency response function estimators for linear systems do not accommodate this harmonic distortion. A new multi-harmonic frequency response function estimator that utilizes discrete frequency models for non-linear systems is introduced here. The multi-harmonic estimator relates the frequency response at each frequency to the input and output spectra within a given frequency band in the same way that autoregressive exogenous input models relate inputs and outputs at particular samples in the time domain. Overdetermined, least-mean-squares calculations are used to minimize model error throughout a frequency band rather than at a single frequency as in the corresponding linear estimators. The resulting multi-harmonic frequency response function models are non-parametric (e.g., vary with amplitude) when linear functions are used and parametric when non-linear functions are used. A new sensitive indicator for experimentally characterizing non-linearity is introduced." }, { "paper": "2093960377", "venue": "8265502", "year": "2002", "title": "generalized additive models with interval censored data and time varying covariates application to human immunodeficiency virus infection in hemophiliacs", "label": [ "50862435", "2781054248", "105795698", "102366305", "119043178", "117251300", "149782125", "194648359", "50382708", "190173006" ], "author": [ "2008507728", "2305170015" ], "reference": [ "90493059", "141760394", "193101378", "1510444525", "1528905581", "1542674643", "1580788756", "1586962881", "1975878455", "1977519343", "2001121700", "2015058613", "2017694119", "2036464901", "2038405618", "2054717861", "2058815839", "2080373387", "2094377207", "2121493622", "2162430620", "2797583072" ], "abstract": "summary we describe a method for extending smooth nonparametric modeling methods to time to event data where the event may be known only to lie within a window of time maximum penalized likelihood is used to fit a discrete proportional hazards model that also models the baseline hazard and left truncation and time varying covariates are accommodated the implementation follows generalized additive modeling conventions allowing both parametric and smooth terms and specifying the amount of smoothness in terms of the effective degrees of freedom we illustrate the method on a well known interval censored data set on time of human immunodeficiency virus infection in a multicenter study of hemophiliacs the ability to examine time varying covariates not available with previous methods allows detection and modeling of nonproportional hazards and use of a time varying covariate that fits the data better and is more plausible than a fixed alternative", "title_raw": "Generalized Additive Models with Interval\u2010Censored Data and Time\u2010Varying Covariates: Application to Human Immunodeficiency Virus Infection in Hemophiliacs", "abstract_raw": "Summary. We describe a method for extending smooth nonparametric modeling methods to time-to-event data where the event may be known only to lie within a window of time. Maximum penalized likelihood is used to fit a discrete proportional hazards model that also models the baseline hazard, and left-truncation and time-varying covariates are accommodated. The implementation follows generalized additive modeling conventions, allowing both parametric and smooth terms and specifying the amount of smoothness in terms of the effective degrees of freedom. We illustrate the method on a well-known interval-censored data set on time of human immunodeficiency virus infection in a multicenter study of hemophiliacs. The ability to examine time-varying covariates, not available with previous methods, allows detection and modeling of nonproportional hazards and use of a time-varying covariate that fits the data better and is more plausible than a fixed alternative." }, { "paper": "2057605302", "venue": "165473669", "year": "2002", "title": "a novel means of estimating quantiles for 2 parameter weibull distribution under the right random censoring model", "label": [ "199435849", "105795698", "118671147", "139945424", "8272713", "58041806", "19039807", "173291955", "149782125", "114289077" ], "author": [ "2640005306" ], "reference": [ "124167277", "2046714069", "2083972068", "2087901654", "2109533003", "2171515720", "2294550615", "2472982612", "2796537448", "2797916974" ], "abstract": "censoring models are frequently used in reliability analysis to reduce experimental time the three types of censoring models are type i type ii and random censoring in this study we focus on the right random censoring model in this model if the failure time exceeds its associated censoring time then the failure time becomes a censored observation in this case many authors see lee statistical methods for survival data analysis 2nd edition wiley new york 1992 lawless statistical models and methods for lifetime data wiley new york 1982 miller survival analysis wiley new york 1981 among others considered using the observed censoring time to impute the censored observation which however underestimates the true failure time herein two methods to impute the censored observations are proposed in a right random censoring model for a 2 parameter weibull distribution by a monte carlo simulation the quantile estimates are calculated to assess the performance of the proposed imputation methods with respect to their relative mean square error simulation results indicate that the two imputation methods proposed herein are superior to the method proposed by the above authors if the shape parameter of weibull distribution exceeds 1 except for the lower quantiles", "title_raw": "A novel means of estimating quantiles for 2-parameter Weibull distribution under the right random censoring model", "abstract_raw": "Censoring models are frequently used in reliability analysis to reduce experimental time. The three types of censoring models are type-I, type-II and random censoring. In this study, we focus on the right random censoring model. In this model, if the failure time exceeds its associated censoring time, then the failure time becomes a censored observation. In this case, many authors (see: Lee, Statistical Methods for Survival Data Analysis, 2nd Edition, Wiley, New York, 1992; Lawless, Statistical Models and Methods for Lifetime Data, Wiley, New York, 1982; Miller, Survival Analysis, Wiley, New York, 1981, among others) considered using the observed censoring time to impute the censored observation which, however, underestimates the true failure time. Herein, two methods to impute the censored observations are proposed in a right random censoring model for a 2-parameter Weibull distribution. By a Monte Carlo simulation, the quantile estimates are calculated to assess the performance of the proposed imputation methods with respect to their relative mean square error. Simulation results indicate that the two imputation methods proposed herein are superior to the method proposed by the above authors if the shape parameter of Weibull distribution exceeds 1, except for the lower quantiles." }, { "paper": "1978194588", "venue": "73535193", "year": "2002", "title": "the convergence of an interior point method using modified search directions in final iterations", "label": [ "28826006", "205147927", "126255220", "140479938", "203438642", "39927690", "41045048", "155253501", "81184566" ], "author": [ "2110093250" ], "reference": [ "219701461", "1237127655", "1495127658", "1518039036", "1981315194", "1984302541", "1993489874", "2005062107", "2006884874", "2013737143", "2014746566", "2017666390", "2030490984", "2036622774", "2047316561", "2068484625", "2093903024", "2096801802", "2157590940", "2170451819", "3022136271" ], "abstract": "abstract we provide an asymptotic analysis of a primal dual algorithm for linear programming that uses modified search directions in the final iterations the algorithm determines the search directions by solving the normal equations using the preconditioned conjugate gradient algorithm small dual slack variables are slightly perturbed in the later stage of the interior point algorithm to obtain better conditioned systems without interfering with convergence the modification and its motivation are discussed and a convergence analysis of the resulting algorithm is presented the analysis shows the iterates of the modified system converge to the solution of the karush kuhn tucker optimality system associated with the lagrangian of the logarithmic barrier subproblem the global convergence of the interior point method is thus established", "title_raw": "The convergence of an interior-point method using modified search directions in final iterations", "abstract_raw": "Abstract We provide an asymptotic analysis of a primal-dual algorithm for linear programming that uses modified search directions in the final iterations. The algorithm determines the search directions by solving the normal equations using the preconditioned conjugate gradient algorithm. Small dual slack variables are slightly perturbed in the later stage of the interior-point algorithm to obtain better conditioned systems without interfering with convergence. The modification and its motivation are discussed, and a convergence analysis of the resulting algorithm is presented. The analysis shows the iterates of the modified system converge to the solution of the Karush-Kuhn-Tucker optimality system associated with the Lagrangian of the logarithmic barrier subproblem. The global convergence of the interior-point method is thus established." }, { "paper": "2002040570", "venue": "3006183880", "year": "2002", "title": "isotropic probabilistic models for directions planes and referential systems", "label": [ "155165730", "49937458", "118615104", "2777423538", "202444582", "118299288" ], "author": [ "2790552804" ], "reference": [ "104554367", "217022991", "1541153235", "1583065847", "1587281004", "1593981206", "1982432554", "1985512973", "1986136110", "1989210633", "1991019839", "1994593049", "2002517876", "2012788802", "2013840668", "2014226770", "2021844794", "2026896531", "2027777023", "2028811938", "2036488048", "2042335912", "2047534848", "2051725773", "2054691460", "2063698478", "2073889809", "2078166788", "2078197553", "2091061359", "2095800081", "2105408773", "2110593204", "2120062331", "2120225392", "2122861691", "2128685959", "2128705329", "2132979479", "2133578061", "2135637836", "2137658687", "2139075975", "2142657992", "2143610019", "2144935099", "2145126087", "2163712338", "2165172002", "2279553107", "2292278295", "2319041464", "2324309783", "2330160034", "2398980120", "2796649821", "2796985193", "2905505698", "3013267890" ], "abstract": "although simple probabilistic models for directions in two dimensional 2d and three dimensional 3d spaces are well known respectively the von mises and fisher distributions probabilistic models for directions planes and referential systems in an n dimensional n d space are either not popular or not available the results for directions in 2d and 3d can be generalized for i arbitrary directions ii planes iii referential systems and iv symmetric random tensors and in turn all these results can be generalized to n d spaces in this paper we will focus on and build up isotropic probabilistic models for directions planes and referential systems in n d space", "title_raw": "Isotropic probabilistic models for directions, planes and referential systems", "abstract_raw": "Although simple probabilistic models for directions in two\u2013dimensional (2D) and three\u2013dimensional (3D) spaces are well known (respectively, the von Mises and Fisher distributions), probabilistic models for directions, planes and referential systems in an n \u2013dimensional ( n D) space are either not popular or not available. The results for directions in 2D and 3D can be generalized for (i) arbitrary directions; (ii) planes; (iii) referential systems; and (iv) symmetric random tensors, and in turn, all these results can be generalized to n D spaces. In this paper we will focus on and build up isotropic probabilistic models for directions, planes and referential systems in n D space." }, { "paper": "1974503864", "venue": "151579836", "year": "2002", "title": "the reduced minimum modulus of operators", "label": [ "191061551", "134306372", "193867417" ], "author": [ "2048484706", "2128323993" ], "reference": [ "1517447268", "1575352938", "1585548596", "1607437775", "1806719069", "1965991701", "1970943359", "1981011546", "1995932496", "2014965333", "2029909461", "2038876942", "2039288995", "2059527371", "2072575998", "2073344255", "2076687762", "2091161348", "2138796146" ], "abstract": "", "title_raw": "The reduced minimum modulus of operators", "abstract_raw": "" }, { "paper": "2001024311", "venue": "897311980", "year": "2002", "title": "escape function conditions for the observation control and stabilization of the wave equation", "label": [ "191948623", "134306372", "165818556", "110342517", "62354387", "2779593128", "202615002", "154476725", "7979169" ], "author": [ "2682346370" ], "reference": [], "abstract": "for the linear wave equation with time invariant coefficients on a connected compact riemannian manifold omega g with c 3 boundary the geodesics condition of bardos lebeau and rauch siam j control optim 30 1992 pp 1024 1065 is characterized in terms of escape functions which are some lyapunov functions on the phase space s bar omega the unit sphere cotangent bundle differentiable escape functions yield a sufficient condition which is slightly less sharp but does not refer to geodesics the escape function condition yields a straightforward geometric proof that the geodesics condition holds in the situations where first order differential multiplier methods apply using microlocal control results it allows us to generalize some control results that were obtained by multiplier methods to variable coefficients and lower order terms it also allows us to prove in some class of simple situations e g in mathbb r 2 with constant coefficients that no first order differential multiplier method can reach the optimal control time or control regions", "title_raw": "Escape Function Conditions for the Observation, Control, and Stabilization of the Wave Equation", "abstract_raw": "For the linear wave equation with time-invariant coefficients on a connected compact Riemannian manifold $(\\Omega,g)$ with $C^{3}$ boundary, the geodesics condition of Bardos, Lebeau, and Rauch [SIAM J. Control Optim., 30 (1992), pp. 1024--1065] is characterized in terms of escape functions, which are some Lyapunov functions on the phase space $S^{*}\\bar{\\Omega}$ (the unit sphere cotangent bundle). Differentiable escape functions yield a sufficient condition which is slightly less sharp but does not refer to geodesics. The escape function condition yields a straightforward geometric proof that the geodesics condition holds in the situations where first order differential multiplier methods apply. Using microlocal control results, it allows us to generalize some control results (that were obtained by multiplier methods) to variable coefficients and lower order terms. It also allows us to prove, in some class of simple situations (e.g., in $\\mathbb{R}^{2}$ with constant coefficients), that no first order differential multiplier method can reach the optimal control time or control regions." }, { "paper": "2084183955", "venue": "56603566", "year": "2002", "title": "universal construction of feedback laws achieving iss and integral iss disturbance attenuation", "label": [ "2776809875", "36662352", "201030206", "65244806", "2777601987", "37935115", "185109637", "158622935" ], "author": [ "2075973261", "2092577353", "2098520996" ], "reference": [ "73836474", "1498760136", "1517307919", "1539673674", "1594634029", "1823180602", "1846696933", "1970832114", "1983004852", "2002964896", "2017493230", "2018291128", "2023126268", "2025135845", "2026892575", "2035506160", "2040957143", "2041076275", "2045945087", "2080209002", "2081176294", "2090167557", "2099614160", "2127541165", "2135410088", "2140531311", "2162750481", "2165626406", "2169932488", "2484454479", "2494059316" ], "abstract": "we study nonlinear systems with both control and disturbance inputs the main problem addressed in the paper is design of state feedback control laws that render the closed loop system integral input to state stable iiss with respect to the disturbances we introduce an appropriate concept of control lyapunov function iiss clf whose existence leads to an explicit construction of such a control law the same method applies to the problem of input to state stabilization converse results and techniques for generating iiss clfs are also discussed", "title_raw": "Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation", "abstract_raw": "We study nonlinear systems with both control and disturbance inputs. The main problem addressed in the paper is design of state feedback control laws that render the closed-loop system integral-input-to-state stable (iISS) with respect to the disturbances. We introduce an appropriate concept of control Lyapunov function (iISS-CLF), whose existence leads to an explicit construction of such a control law. The same method applies to the problem of input-to-state stabilization. Converse results and techniques for generating iISS-CLFs are also discussed." }, { "paper": "2093214430", "venue": "159544283", "year": "2002", "title": "perturbation of quadrics", "label": [ "129844170", "92757383", "202444582", "86243350", "156103551", "2781349735", "126764288", "134306372" ], "author": [ "2792786762", "2577454340", "2487440211" ], "reference": [ "1567200859", "1984230917", "1998514443", "2017289162", "2253937551" ], "abstract": "abstract the aim of this paper is to study what happens when a slight perturbation affects the coefficients of a quadratic equation defining a variety a quadric in r n structurally stable quadrics are those such that a small perturbation on the coefficients of the equation defining them does not give rise to a different in some sense set of points in particular we characterize structurally stable quadrics and give the bifurcation diagrams of the non stable ones showing which quadrics meet all of their neighbourhoods when dealing with the affine and metric equivalence relations this study can be applied to the case where a set of points which constitute the set of solutions of a problem is defined by a quadratic equation whose coefficients are given with parameter uncertainty", "title_raw": "Perturbation of quadrics", "abstract_raw": "Abstract The aim of this paper is to study what happens when a slight perturbation affects the coefficients of a quadratic equation defining a variety (a quadric) in R n . Structurally stable quadrics are those such that a small perturbation on the coefficients of the equation defining them does not give rise to a \u201cdifferent\u201d (in some sense) set of points. In particular, we characterize structurally stable quadrics and give the \u201cbifurcation diagrams\u201d of the non-stable ones (showing which quadrics meet all of their neighbourhoods), when dealing with the \u201caffine\u201d and \u201cmetric\u201d equivalence relations. This study can be applied to the case where a set of points, which constitute the set of solutions of a problem, is defined by a quadratic equation whose coefficients are given with parameter uncertainty." }, { "paper": "2125835214", "venue": "134177497", "year": "2002", "title": "fuzzy model reference adaptive control", "label": [ "195975749", "2776829284", "107464732", "186108316", "65244806", "207987634", "97970142", "31531917" ], "author": [ "2721275745", "2427156248", "2722381895" ], "reference": [ "406738437", "1481731550", "1555701677", "1569189826", "1592979472", "1864917393", "1887006513", "1975965573", "2022989556", "2046833888", "2047993072", "2053828884", "2076780588", "2079325629", "2086429331", "2089733531", "2093850384", "2117133207", "2129278199", "2139331574", "2142444405", "2148104278", "2148178391", "2157451957", "2914825457", "3160954918" ], "abstract": "this paper investigates a fuzzy model reference adaptive controller fmrac for continuous time multiple input multiple output mimo nonlinear systems the proposed adaptive scheme uses a takagi seguno ts fuzzy adaptive system which allows for the inclusion of a priori information in terms of qualitative knowledge about the plant operating points or analytical regulators e g state feedback for those operating points a proportional integral update law is used to obtain a fast parameters adaptation stability and robustness of this adaptive scheme are established using lyapunov stability tools the simulation results for a two link robot confirm the performance of the proposed approach", "title_raw": "Fuzzy model reference adaptive control", "abstract_raw": "This paper investigates a fuzzy model reference adaptive controller (FMRAC) for continuous-time multiple-input-multiple-output (MIMO) nonlinear systems. The proposed adaptive scheme uses a Takagi-Seguno (TS) fuzzy adaptive system, which allows for the inclusion of a priori information in terms of qualitative knowledge about the plant operating points or analytical regulators (e.g., state feedback) for those operating points. A proportional-integral update law is used to obtain a fast parameters adaptation. Stability and robustness of this adaptive scheme are established using Lyapunov stability tools. The simulation results, for a two-link robot, confirm the performance of the proposed approach." }, { "paper": "1994217021", "venue": "151579836", "year": "2002", "title": "blowup rate for heat equation in lipschitz domains with nonlinear heat source terms on the boundary", "label": [ "22324862", "202787564", "62354387", "13474197", "182310444", "108257041", "163681178", "134306372", "42045870" ], "author": [ "2710750141", "2217775547" ], "reference": [ "114786621", "1013457174", "1531827673", "1543803963", "1579842121", "1602967628", "1800232110", "1913455435", "1969849016", "1988731004", "1993604235", "1994577834", "1996791617", "2019992078", "2024792825", "2041714615", "2058374245", "2077823363", "2079786066", "2094820190", "2113477660", "2243568435", "2272743493", "2738756397", "3021722416" ], "abstract": "abstract this paper establishes the blowup rate estimate near the blowup time for the heat equation ut u with the nonlinear boundary condition un up on the boundary 0 t for a bounded lipschitz domain and for the nonlinear boundary condition un exp u on the boundary for a two dimensional disc with nonradially symmetric data", "title_raw": "Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary", "abstract_raw": "Abstract This paper establishes the blowup rate estimate near the blowup time for the heat equation ut=\u0394u with the nonlinear boundary condition un=up on the boundary \u2202\u03a9\u00d7[0,T) for a bounded Lipschitz domain and for the nonlinear boundary condition un=exp(u) on the boundary for a two-dimensional disc with nonradially symmetric data." }, { "paper": "2020054555", "venue": "79244937", "year": "2002", "title": "analysing the structure of the integrating factors for first order ordinary differential equations with liouvillian functions in the solution", "label": [ "10927425", "134306372", "2126413", "186219872", "28826006", "163105828", "51544822", "13982400", "165242687", "204854254" ], "author": [ "2165124085", "2706190901", "2111563447" ], "reference": [ "1973429898", "1996638762", "1997290261", "2014749888", "2090093259" ], "abstract": "here we demonstrate a theorem concerning the general structure of the integrating factor for first order ordinary differential equations whose solutions contain liouvillian functions this result assures the generality of a method presented in a forthcoming paper extending the usual prelle singer approach", "title_raw": "Analysing the structure of the integrating factors for first-order ordinary differential equations with Liouvillian functions in the solution", "abstract_raw": "Here we demonstrate a theorem concerning the general structure of the integrating factor for first-order ordinary differential equations whose solutions contain Liouvillian functions. This result assures the generality of a method presented in a forthcoming paper extending the usual Prelle-Singer approach." }, { "paper": "2085231713", "venue": "184147796", "year": "2002", "title": "classification of division zn graded alternative algebras", "label": [ "5475112", "73648015", "99634282", "202444582", "66411559", "29945619", "518143113", "203946495", "118615104", "149378083" ], "author": [ "2983792664" ], "reference": [ "436297348", "1519318846", "1538534850", "1554315206", "1998278090", "2000763349", "2014955482", "2031260349", "2049564729", "2057739778", "2087981383", "2090961547" ], "abstract": "abstract the octonion torus or cayley torus appears as a coordinate algebra of extended affine lie algebras of type a 2 and f 4 a generalized version of the octonion torus called division z n graded alternative algebras is classified in this paper using the result we can complete the classification of division a 2 z n graded lie algebras up to central extensions which are a generalization of the cores of extended affine lie algebras of type a 2", "title_raw": "Classification of division Zn-graded alternative algebras", "abstract_raw": "Abstract The octonion torus (or Cayley torus) appears as a coordinate algebra of extended affine Lie algebras of type A 2 and F 4 . A generalized version of the octonion torus, called division Z n -graded alternative algebras, is classified in this paper. Using the result, we can complete the classification of division ( A 2 , Z n ) -graded Lie algebras, up to central extensions, which are a generalization of the cores of extended affine Lie algebras of type\u00a0 A 2 ." }, { "paper": "2035814874", "venue": "985303", "year": "2002", "title": "design selection and classification for hadamard matrices using generalized minimum aberration criteria", "label": [ "28826006", "16469947", "126255220", "45374587", "60292330" ], "author": [ "2137323302", "2101245313" ], "reference": [ "1497211613", "1606003127", "1966287182", "1986667978", "2002316623", "2006901874", "2010651149", "2016953271", "2043419201", "2066310732", "2075639823", "2080317910", "2085149753", "2093092000", "2171733202" ], "abstract": "deng and tang 1999 and tang and deng 1999 proposed and justified two criteria of generalized minimum aberration for general two level fractional factorial designs the criteria are defined using a set of values called j characteristics in this article we examine the practical use of the criteria in design selection specifically we consider the problem of classifying and ranking designs that are based on hadamard matrices a theoretical result on j characteristics is developed to facilitate the computation the issue of design selection is further studied by linking generalized aberration with the criteria of efficiency and estimation capacity our studies reveal that generalized aberration performs quite well under these familiar criteria", "title_raw": "Design Selection and Classification for Hadamard Matrices Using Generalized Minimum Aberration Criteria", "abstract_raw": "Deng and Tang (1999) and Tang and Deng (1999) proposed and justified two criteria of generalized minimum aberration for general two-level fractional factorial designs. The criteria are defined using a set of values called J characteristics. In this article, we examine the practical use of the criteria in design selection. Specifically, we consider the problem of classifying and ranking designs that are based on Hadamard matrices. A theoretical result on J characteristics is developed to facilitate the computation. The issue of design selection is further studied by linking generalized aberration with the criteria of efficiency and estimation capacity. Our studies reveal that generalized aberration performs quite well under these familiar criteria." }, { "paper": "2071769901", "venue": "35412551", "year": "2002", "title": "computation of a chemical potential using a residence weight algorithm", "label": [ "205826798", "177148314", "45374587", "11413529" ], "author": [ "2662295919" ], "reference": [ "1482044830", "1518747218", "1971165867", "1993177346", "1998901165", "2003670327", "2006755239", "2007834842", "2035078255", "2040008731", "2040252185", "2043806340", "2056760934", "2073163354", "2075566728", "2085120061", "2085548090", "2089435371", "2093960591", "2115078849", "2121062964", "2124191860", "2129838949", "2130127238", "2140151763", "2149801992", "2151984621", "2160261626", "2170198945", "3098358753" ], "abstract": "the test particle insertion method and its generalization to biased insertion schemes allows the computation of chemical potentials in fluids even though these techniques can be implemented in dense systems the convergence of the estimated value for the chemical potential must be carefully checked and additional simulations are actually required we propose to compute the chemical potential using a residence weight algorithm with this algorithm it is shown that for a given amount of computer time the degree of convergence towards the exact chemical potential correlates with the mean rate for accepting the trial particle insertions or deletions the residence weight algorithm thus offers a reliable built in tool for diagnosing the numerical convergence", "title_raw": "Computation of a chemical potential using a residence weight algorithm.", "abstract_raw": "The test particle insertion method and its generalization to biased insertion schemes allows the computation of chemical potentials in fluids. Even though these techniques can be implemented in dense systems, the convergence of the estimated value for the chemical potential must be carefully checked and additional simulations are actually required. We propose to compute the chemical potential using a residence weight algorithm. With this algorithm, it is shown that, for a given amount of computer time, the degree of convergence towards the exact chemical potential correlates with the mean rate for accepting the trial particle insertions or deletions. The residence weight algorithm thus offers a reliable built-in tool for diagnosing the numerical convergence." }, { "paper": "2084232218", "venue": "51360982", "year": "2002", "title": "on the use of constraints in least squares estimation and control", "label": [ "169241690", "9810830", "188649462", "167928553", "81845259", "126255220", "176012381", "191462741", "185429906" ], "author": [ "2460311193", "2248422727" ], "reference": [ "1896002532", "1978079476", "1984403903", "1991567646", "2007164115", "2012627745", "2028277614", "2042489644", "2057184806", "2117034515", "2800423704" ], "abstract": "in this article we examine the effect of constraints on estimation and control methods based on quadratic penalty functions we begin with estimation theory and analyze how constraints alter the statistical properties of the least squares estimates it is shown that constraints can be used to formulate maximum likelihood mle and maximum a posteriori map estimators for a variety of unimodal distributions this provides greater flexibility over the assumption of normality inherent in the mle and map interpretation of traditional least squares we discuss how these ideas apply to state space models of dynamic systems possible applications for controllers that handle constraints are also discussed a parameter estimation example is given to demonstrate the potential for improved performance over unconstrained least squares", "title_raw": "On the use of constraints in least squares estimation and control", "abstract_raw": "In this article, we examine the effect of constraints on estimation and control methods based on quadratic penalty functions. We begin with estimation theory and analyze how constraints alter the statistical properties of the least squares estimates. It is shown that constraints can be used to formulate maximum likelihood (MLE) and maximum a posteriori (MAP) estimators for a variety of unimodal distributions. This provides greater flexibility over the assumption of normality inherent in the MLE and MAP interpretation of traditional least squares. We discuss how these ideas apply to state space models of dynamic systems. Possible applications for controllers that handle constraints are also discussed. A parameter estimation example is given to demonstrate the potential for improved performance over unconstrained least squares." }, { "paper": "2023894662", "venue": "165473669", "year": "2002", "title": "stability analyses of cellular neural networks with continuous time delay", "label": [ "167964875", "158693339", "28826006", "78045399", "11413529", "49712288", "112972136", "500300565" ], "author": [ "2106202363", "2684771005", "2907583319" ], "reference": [ "1586658033", "1967914652", "2014641357", "2016020597", "2033489353", "2038572450", "2055606008", "2056479407", "2076215153", "2087297835", "2104454795", "2109218509", "2115763425", "2116848336", "2121003919", "2130416988", "2135051632", "2141228027", "2142211394", "2144479604", "2151162785", "2160121923", "2167462730" ], "abstract": "the stability of cellular neural networks cnns with continuous time delay is investigated in the present paper a main theorem together with a few corollaries related to the existence and boundedness of the solution for this kind of cnns as well as its global asymptotic stability is derived some numerical simulation examples aimed at justifying the theoretical results are also given", "title_raw": "Stability analyses of cellular neural networks with continuous time delay", "abstract_raw": "The stability of cellular neural networks (CNNs) with continuous time delay is investigated in the present paper. A main theorem together with a few corollaries related to the existence and boundedness of the solution for this kind of CNNs, as well as its global asymptotic stability is derived. Some numerical simulation examples aimed at justifying the theoretical results are also given." }, { "paper": "2002184448", "venue": "45918994", "year": "2002", "title": "functorial products for mathrm gl _2 times mathrm gl _3 and the symmetric cube for mathrm gl _2", "label": [ "118712358", "202444582", "2779886137", "156772000", "2780368806", "53051483", "125565743" ], "author": [ "2616923911", "2133977299" ], "reference": [ "77468620", "115307847", "581627807", "1505990234", "1506053992", "1552669640", "1979223671", "1979543684", "1989579791", "1994476150", "2033249145", "2033545817", "2046099957", "2049975422", "2055193942", "2060540077", "2067502481", "2075275443", "2112407986", "2144493057", "2163829970", "2314665678", "2318902998", "2333976070", "2334582556", "2519224252", "2963291630" ], "abstract": "", "title_raw": "Functorial products for $\\mathrm{GL}_2 \\times \\mathrm{GL}_3$ and the symmetric cube for $\\mathrm{GL}_2$", "abstract_raw": "" }, { "paper": "1980070639", "venue": "24807848", "year": "2002", "title": "simple method to make asymptotic series of feynman diagrams converge", "label": [ "121152540", "11683690", "153150388", "28826006", "9652623", "65574998" ], "author": [ "2059313373" ], "reference": [ "1981452642", "2153478376", "2942128276" ], "abstract": "we show that for two nontrivial lambda phi 4 problems the anharmonic oscillator and the landau ginzburg hierarchical model improved perturbative series can be obtained by cutting off the large field contributions the modified series converge to values exponentially close to the exact ones for lambda larger than some critical value the method outperforms pade s approximants and borel summations the method can also be used for series which are not borel summable such as the double well potential series we show that semiclassical methods can be used to calculate the modified feynman rules estimate the error and optimize the field cutoff", "title_raw": "Simple method to make asymptotic series of Feynman diagrams converge.", "abstract_raw": "We show that, for two nontrivial lambda phi(4) problems (the anharmonic oscillator and the Landau-Ginzburg hierarchical model), improved perturbative series can be obtained by cutting off the large field contributions. The modified series converge to values exponentially close to the exact ones. For lambda larger than some critical value, the method outperforms Pade's approximants and Borel summations. The method can also be used for series which are not Borel summable such as the double-well potential series. We show that semiclassical methods can be used to calculate the modified Feynman rules, estimate the error, and optimize the field cutoff." }, { "paper": "2148101698", "venue": "79244937", "year": "2002", "title": "scattering and bound state problems with non local potentials application of the variable phase approach", "label": [ "28826006", "182365436", "136628613", "134306372", "39177556" ], "author": [ "371926513", "2673806187", "2423789197" ], "reference": [ "1982722792", "1989778385", "1991595787", "1993923171", "2016723911", "2041274090", "2046770418", "2109962604", "3004392840" ], "abstract": "following the framework of the variable phase approach we derive an equation fo rd etermining the scattering amplitude of a non relativistic quantum particle in a non local potential its solution implies the integration of the volterra integrodifferential equation of the first kind and allows determination of bound state energies and wavefunctions a fast numerical scheme for the solution of these equations is suggested and it is demonstrated that the proposed method requires the numerical efforts of the same order as in the local potential case", "title_raw": "Scattering and bound-state problems with non-local potentials: application of the variable-phase approach", "abstract_raw": "Following the framework of the variable-phase approach, we derive an equation fo rd etermining the scattering amplitude of a non-relativistic quantum particle in a non-local potential. Its solution implies the integration of the Volterra integrodifferential equation of the first kind and allows determination of bound-state energies and wavefunctions. A fast numerical scheme for the solution of these equations is suggested and it is demonstrated that the proposed method requires the numerical efforts of the same order as in the local potential case." }, { "paper": "1874166310", "venue": "60030702", "year": "2002", "title": "lower central series and free resolutions of hyperplane arrangements", "label": [ "178609977", "2779185822", "2779217039", "114614502", "94863793", "25534917", "129621563", "77553402", "188440111" ], "author": [ "3098838456", "1927031854" ], "reference": [ "377884864", "1511945852", "1519011338", "1559543005", "1564378810", "1573440957", "1640288145", "1656893571", "1673202421", "1770603106", "1966304237", "1967684025", "1979842858", "1991500819", "2050379993", "2056310536", "2136139421", "2142395033", "2163022907", "2165569759", "2326574049", "2346384042", "2792049568", "2911617018", "2964112968", "3097977480", "3146830351" ], "abstract": "if m is the complement of a hyperplane arrangement and a h m k is the cohomology ring of m over a field of characteristic 0 then the ranks k of the lower central series quotients of 1 m can be computed from the betti numbers bii dimtor a k k i of the linear strand in a minimal free resolution of k over a we use the cartan eilenberg change of rings spectral sequence to relate these numbers to the graded betti numbers b dimtor e a k j of a minimal resolution of a over the exterior algebra e from this analysis we recover a formula of falk for 3 and obtain a new formula for 4 the exact sequence of low degree terms in the spectral sequence allows us to answer a question of falk on graphic arrangements and also shows that for these arrangements the algebra a is koszul if and only if the arrangement is supersolvable we also give combinatorial lower bounds on the betti numbers b 1 of the linear strand of the free resolution of a over e if the lower bound is attained for i 2 then it is attained for all i 2 for such arrangements we compute the entire linear strand of the resolution and we prove that all components of the first resonance variety of a are local for graphic arrangements which do not attain the lower bound unless they have no braid sub arrangements we show that b 1 is determined by the number of triangles and k4 subgraphs in the graph", "title_raw": "LOWER CENTRAL SERIES AND FREE RESOLUTIONS OF HYPERPLANE ARRANGEMENTS", "abstract_raw": "If M is the complement of a hyperplane arrangement, and A = H \u2217 (M, k) is the cohomology ring of M over a field of characteristic 0, then the ranks, \ufffdk, of the lower central series quotients of \ufffd1(M) can be computed from the Betti numbers, bii = dimTor A (k, k)i, of the linear strand in a minimal free resolution of k over A. We use the Cartan-Eilenberg change of rings spectral sequence to relate these numbers to the graded Betti numbers, b ' = dimTor E (A, k)j, of a minimal resolution of A over the exterior algebra E. From this analysis, we recover a formula of Falk for \ufffd3, and obtain a new formula for \ufffd4. The exact sequence of low degree terms in the spectral sequence allows us to answer a question of Falk on graphic arrangements, and also shows that for these arrangements, the algebra A is Koszul if and only if the arrangement is supersolvable. We also give combinatorial lower bounds on the Betti numbers, b'+1 , of the linear strand of the free resolution of A over E; if the lower bound is attained for i = 2, then it is attained for all i\ufffd 2. For such arrangements, we compute the entire linear strand of the resolution, and we prove that all components of the first resonance variety of A are local. For graphic arrangements (which do not attain the lower bound, unless they have no braid sub-arrangements), we show that b '+1 is determined by the number of triangles and K4 subgraphs in the graph." }, { "paper": "2090703837", "venue": "158241587", "year": "2002", "title": "symmetric periodic solutions of the anisotropic manev problem", "label": [ "118299288", "177148314", "134306372", "88221313" ], "author": [ "2397594907" ], "reference": [ "627140016", "1524565983", "2015562687", "2016164305", "2018813299", "2027816747", "2044892386", "2048957318", "2089382328", "2265203034", "2288872920" ], "abstract": "we consider the manev potential in an anisotropic space i e such that the force acts differently in each direction using a generalization of the poincare continuation method we study the existence of periodic solutions for weak anisotropy in particular we find that the symmetric periodic orbits of the manev system are perturbed to periodic orbits in the anisotropic problem", "title_raw": "Symmetric periodic solutions of the anisotropic Manev problem", "abstract_raw": "We consider the Manev potential in an anisotropic space, i.e., such that the force acts differently in each direction. Using a generalization of the Poincare continuation method we study the existence of periodic solutions for weak anisotropy. In particular we find that the symmetric periodic orbits of the Manev system are perturbed to periodic orbits in the anisotropic problem." }, { "paper": "1995463882", "venue": "53336109", "year": "2002", "title": "parallel computation of forward radiated noise of ducted fans with acoustic treatment", "label": [ "181582579", "198880260", "120373497", "11413529", "205951836", "38409319" ], "author": [ "1745740084" ], "reference": [ "1485630731", "2011936440", "2021121593", "2033139562", "2034359181", "2035778693", "2044967381", "2055560267", "2093622974", "2102277965", "2162713964" ], "abstract": "forward radiated noise of ducted fans is computed numerically on parallel processors solving the three dimensional time dependent euler equations in body conformed coordinates with a fourth order accurate finite difference runge kutta time integration scheme sound attenuation effects of inlet wall acoustic treatment are included in computations employing a time discrete form of the standard impedance condition a distributed computing approach with domain decomposition is used for integrating the equations in parallel using the message passing interface library routines the abilities of the method are demonstrated with hard and soft wall simulations of the jt15d inlet including flow effects", "title_raw": "Parallel computation of forward radiated noise of ducted fans with acoustic treatment", "abstract_raw": "Forward radiated noise of ducted fans is computed numerically on parallel processors solving the three-dimensional, time-dependent Euler equations in body-conformed coordinates with a fourth-order-accurate, finite-difference, Runge-Kutta time-integration scheme. Sound attenuation effects of inlet wall acoustic treatment are included in computations employing a time-discrete form of the standard impedance condition. A distributed computing approach with domain decomposition is used for integrating the equations in parallel using the message passing interface library routines. The abilities of the method are demonstrated with hard- and soft-wall simulations of the JT15D inlet, including flow effects." }, { "paper": "2108216492", "venue": "196647941", "year": "2002", "title": "performance of dual diversity predetection egc in correlated rayleigh fading with unequal branch snrs", "label": [ "81978471", "105795698", "2780092901", "48372109", "56985126", "161126049", "156996364" ], "author": [ "1847109974", "2465043653", "2951861331" ], "reference": [ "604181985", "2029159574", "2029589452", "2094040025", "2098144684", "2108165364", "2144180392", "2150386840", "2155023848" ], "abstract": "the bit error probability bep for coherent detection of binary signals with dual diversity predetection equal gain combining is derived using the beaulieu 1991 series in particular we consider a correlated rayleigh fading channel with unequal branch signal to noise ratios the bep expression is in terms of the power correlation coefficient of the branches is easy to compute and depicts clearly the effect of correlated fading on the error performance", "title_raw": "Performance of dual-diversity predetection EGC in correlated Rayleigh fading with unequal branch SNRs", "abstract_raw": "The bit error probability (BEP) for coherent detection of binary signals with dual-diversity predetection equal gain combining is derived using the Beaulieu (1991) series. In particular, we consider a correlated Rayleigh fading channel with unequal branch signal-to-noise ratios. The BEP expression is in terms of the power correlation coefficient of the branches, is easy to compute, and depicts clearly the effect of correlated fading on the error performance." }, { "paper": "2004898338", "venue": "102439543", "year": "2002", "title": "positivity preserving finite element approximation", "label": [ "135628077", "62354387", "34388435", "39847760", "54829058", "49766605", "134306372", "202444582" ], "author": [ "286281335", "1976636558" ], "reference": [ "1492326914", "1852082788", "1965720095", "1992893649", "2005436751", "2009985306", "2023433466", "2044548230", "2044627846", "2050005024", "2071036364", "2199169705", "3149667697" ], "abstract": "we consider finite element operators defined on rough functions in a bounded polyhedron in rn insisting on preserving positivity in the approximations we discover an intriguing and basic difference between approximating functions which vanish on the boundary of and approximating general functions which do not we give impossibility results for approximation of general functions to more than first order accuracy at extreme points of we also give impossibility results about invariance of positive operators on finite element functions this is in striking contrast to the well studied case without positivity", "title_raw": "Positivity preserving finite element approximation", "abstract_raw": "We consider finite element, operators defined on \"rough\" functions in a bounded polyhedron \u03a9 in RN. Insisting on preserving positivity in the approximations, we discover an intriguing and basic difference between approximating functions which vanish on the boundary of \u03a9 and approximating general functions which do not. We give impossibility results for approximation of general functions to more than first order accuracy at extreme points of \u03a9. We also give impossibility results about invariance of positive operators on finite element functions. This is in striking contrast to the well-studied case without positivity." }, { "paper": "2075144395", "venue": "158241587", "year": "2002", "title": "the fuzzy sphere product and spin networks", "label": [ "126794175", "104682228", "193645952", "52465356", "68797384", "29384965", "90673727" ], "author": [ "518526339", "2106380771" ], "reference": [ "1515431404", "1621112865", "2004671711", "2022352148", "2031048748", "2035110653", "2071417479", "2094667859", "2106817500", "2112036809", "2124590498", "3104807748", "3124930345" ], "abstract": "we analyze the expansion of the fuzzy sphere noncommutative product in powers of the noncommutativity parameter to analyze this expansion we develop a graphical technique that uses spin networks this technique is potentially interesting in its own right as introducing spin networks of penrose into noncommutative geometry our analysis leads to a clarification of the link between the fuzzy sphere noncommutative product and the usual deformation quantization of the sphere in terms of the product", "title_raw": "The Fuzzy Sphere \u22c6-Product and Spin Networks", "abstract_raw": "We analyze the expansion of the fuzzy sphere noncommutative product in powers of the noncommutativity parameter. To analyze this expansion we develop a graphical technique that uses spin networks. This technique is potentially interesting in its own right as introducing spin networks of Penrose into noncommutative geometry. Our analysis leads to a clarification of the link between the fuzzy sphere noncommutative product and the usual deformation quantization of the sphere in terms of the \u22c6-product." }, { "paper": "2079467348", "venue": "99182027", "year": "2002", "title": "free vibration of a partially liquid filled and submerged horizontal cylindrical shell", "label": [ "137919232", "135628077", "2779126057", "182310444", "2524010" ], "author": [ "2686491641", "363522551" ], "reference": [ "623833264", "1537888617", "1549138829", "1981798043", "1984380208", "2001918222", "2002443633", "2009682580", "2014370432", "2018385716", "2031182084", "2033000641", "2044504806", "2049425483", "2076916626", "2093847271", "2144563356", "2798507228" ], "abstract": "abstract the dynamic characteristics i e natural frequencies and mode shapes of a partially filled and or submerged horizontal cylindrical shell are examined in this investigation it is assumed that the fluid is ideal and fluid forces are associated with inertial effects only namely the fluid pressure on the wetted surface of the structure is in phase with the structural acceleration the in vacuo dynamic characteristics of the cylindrical shell are obtained using standard finite element software in the wet part of the analysis it is assumed that the shell structure preserves its in vacuo mode shapes when in contact with the contained and or surrounding fluid and that each mode shape gives rise to a corresponding surface pressure distribution of the shell the fluid structure interaction effects are calculated in terms of generalized added masses using a boundary integral equation method together with the method of images in order to impose an appropriate boundary condition on the free surface to assess the influence of the contained and or surrounding fluid on the dynamic behaviour of the shell structure the wet natural frequencies and associated mode shapes were calculated and compared with available experimental measurements", "title_raw": "FREE VIBRATION OF A PARTIALLY LIQUID-FILLED AND SUBMERGED, HORIZONTAL CYLINDRICAL SHELL", "abstract_raw": "Abstract The dynamic characteristics (i.e., natural frequencies and mode shapes) of a partially filled and/or submerged, horizontal cylindrical shell are examined. In this investigation, it is assumed that the fluid is ideal, and fluid forces are associated with inertial effects only: namely, the fluid pressure on the wetted surface of the structure is in phase with the structural acceleration. The in vacuo dynamic characteristics of the cylindrical shell are obtained using standard finite element software. In the \u201cwet\u201d part of the analysis, it is assumed that the shell structure preserves its in vacuo mode shapes when in contact with the contained and/or surrounding fluid and that each mode shape gives rise to a corresponding surface pressure distribution of the shell. The fluid\u2013structure interaction effects are calculated in terms of generalized added masses, using a boundary integral equation method together with the method of images in order to impose an appropriate boundary condition on the free surface. To assess the influence of the contained and/or surrounding fluid on the dynamic behaviour of the shell structure, the wet natural frequencies and associated mode shapes were calculated and compared with available experimental measurements." }, { "paper": "2060450708", "venue": "62223294", "year": "2002", "title": "chern characters for proper equivariant homology theories and applications to k and l theory", "label": [ "202444582", "163363606", "161491579", "80836879", "2780990831", "171036898" ], "author": [ "2336829419", "2010032970" ], "reference": [ "956707728", "1485740749", "1517409714", "1530957290", "1535277042", "1541776832", "1594528278", "1596185498", "1852956162", "1966354383", "1971237774", "1979034312", "1980065889", "1981899197", "1983216466", "1990645519", "2022365501", "2092719679", "2094789018", "2240808916", "2623312674", "2951982918" ], "abstract": "we construct for an equivariant homology theory for proper equiv ariant cw complexes an equivariant chern character provided that certain conditions are satisfied this applies for instance to the sources of the assembly maps in the farrell jones conjecture with respect to the family f of finite subgroups and in the baum connes conjecture thus we get an explicit calculation in terms of group homology of qn z knorgu and qn z lnorgu for a commutative ring r with qh r provided the farrell jones conjecture with respect to f is true and of qnz k top n c r og fu for fa r c provided the baum connes conjecture is true", "title_raw": "Chern characters for proper equivariant homology theories and applications to K- and L-theory", "abstract_raw": "We construct for an equivariant homology theory for proper equiv- ariant CW-complexes an equivariant Chern character, provided that certain conditions are satisfied. This applies for instance to the sources of the assembly maps in the Farrell- Jones Conjecture with respect to the family F of finite subgroups and in the Baum- Connes Conjecture. Thus we get an explicit calculation in terms of group homology of Qn Z KnORGU and Qn Z LnORGU for a commutative ring R with QH R, provided the Farrell-Jones Conjecture with respect to F is true, and of QnZ K top n \u02c7 C r OG; FU for Fa R; C, provided the Baum-Connes Conjecture is true." }, { "paper": "2067795682", "venue": "200871675", "year": "2002", "title": "remarks on third order odes relevant to the kuramoto sivashinsky equation", "label": [ "51544822", "134306372", "76717707", "34862557", "34388435", "185184677", "78045399", "45473103" ], "author": [ "1983062449" ], "reference": [ "571600512", "1545677189", "1965456518", "1982999858", "1987496075", "2012312399", "2016956561", "2027388439", "2033840645", "2067139588", "2078100674", "2080182395", "2084340432", "2087522722", "2139886236", "2145764614", "2247408349", "2517468947", "2526783301", "2742470390" ], "abstract": "abstract we are interested in the third order ordinary differential equations odes which are related to the kuramoto sivashinsky equation so called steady solutions of the kuramoto sivashinsky equation are known to admit several types for example bounded global solutions or periodic solutions we show that in addition to these there exist solutions which blow up on bounded intervals moreover for certain classes of these odes the nonexistence of nontrivial bounded entire solutions is exhibited", "title_raw": "Remarks on Third-Order ODEs Relevant to the Kuramoto-Sivashinsky Equation", "abstract_raw": "Abstract We are interested in the third-order ordinary differential equations (ODEs) which are related to the Kuramoto\u2013Sivashinsky equation. So-called steady solutions of the Kuramoto\u2013Sivashinsky equation are known to admit several types; for example, bounded global solutions or periodic solutions. We show that, in addition to these, there exist solutions which blow up on bounded intervals. Moreover, for certain classes of these ODEs, the nonexistence of nontrivial bounded entire solutions is exhibited." }, { "paper": "2078557168", "venue": "181675524", "year": "2002", "title": "trabecular bone adaptation with an orthotropic material model", "label": [ "2524010", "131336679" ], "author": [ "2157237580", "1981001969", "2470740101" ], "reference": [ "138792599", "603145223", "1545112386", "1583753078", "1761766481", "1966159686", "1966942456", "1976469854", "1985486207", "1992837958", "2023115269", "2034656717", "2040516225", "2043387418", "2049383833", "2049903020", "2059865811", "2068815909", "2072663700", "2076266647", "2077619569", "2080068648", "2093070647", "2093666774", "2099359603", "2101105617", "2104649742", "2111585629", "2123823854", "2130986946", "2135170100", "2135211487", "2139683407", "2143441643", "2150019829", "2155790754", "2162914501" ], "abstract": "most bone adaptation algorithms that attempt to explain the connection between bone morphology and loads assume that bone is effectively isotropic an isotropic material model can explain the bone density distribution but not the structure and pattern of trabecular bone which clearly has a mechanical significance in this paper an orthotropic material model is utilized to predict the proximal femur trabecular structure two hypotheses are combined to determine the local orientation and material properties of each element in the model first it is suggested that trabecular directions which correspond to the orthotropic material axes are determined locally by the maximal principal stress directions due to the multiple load cases mlc the femur is subject to the second hypothesis is that material properties in each material direction can be determined using directional stimuli thus extending existing adaptation algorithms to include directionality an algorithm is utilized where each iteration comprises of two stages first material axes are rotated to the direction of the largest principal stress that occurs from a multiple load scheme applied to the proximal femur next material properties are modified in each material direction according to a directional stimulus results show that local material directions correspond with known trabecular patterns reproducing all main groups of trabeculae very well the local directional stiffnesses degree of anisotropy and density distribution are shown to conform to real femur morphology", "title_raw": "Trabecular bone adaptation with an orthotropic material model.", "abstract_raw": "Most bone adaptation algorithms, that attempt to explain the connection between bone morphology and loads, assume that bone is effectively isotropic. An isotropic material model can explain the bone density distribution, but not the structure and pattern of trabecular bone, which clearly has a mechanical significance. In this paper, an orthotropic material model is utilized to predict the proximal femur trabecular structure. Two hypotheses are combined to determine the local orientation and material properties of each element in the model. First, it is suggested that trabecular directions, which correspond to the orthotropic material axes, are determined locally by the maximal principal stress directions due to the multiple load cases (MLC) the femur is subject to. The second hypothesis is that material properties in each material direction can be determined using directional stimuli, thus extending existing adaptation algorithms to include directionality. An algorithm is utilized, where each iteration comprises of two stages. First, material axes are rotated to the direction of the largest principal stress that occurs from a multiple load scheme applied to the proximal femur. Next, material properties are modified in each material direction, according to a directional stimulus. Results show that local material directions correspond with known trabecular patterns, reproducing all main groups of trabeculae very well. The local directional stiffnesses, degree of anisotropy and density distribution are shown to conform to real femur morphology." }, { "paper": "2023996199", "venue": "201849197", "year": "2002", "title": "symmetric collocation methods for linear differential algebraic boundary value problems", "label": [ "23917780", "26959085", "182310444", "114609681", "78045399", "2126413", "87563608", "2780324716", "134306372" ], "author": [ "2114643864", "2504425054" ], "reference": [ "228928874", "1493963250", "1509923322", "1568666422", "1972758950", "2000224509", "2013864963", "2040619197", "2041103835", "2043516901", "2063789180", "2069809965", "2075151302" ], "abstract": "we present symmetric collocation methods for linear differential algebraic boundary value problems without restrictions on the index or the structure of the differential algebraic equation in particular we do not require a separation into differential and algebraic solution components instead we use the splitting into differential and algebraic equations which arises naturally by index reduction techniques and apply gaus type for the differential part and lobatto type for the algebraic part collocation schemes to obtain a symmetric method which guarantees consistent approximations at the mesh points under standard assumptions we show solvability and stability of the discrete problem and determine its order of convergence moreover we show superconvergence when using the combination of gaus and lobatto schemes and discuss the application of interpolation to reduce the number of function evaluations finally we present some numerical comparisons to show the reliability and efficiency of the new methods", "title_raw": "Symmetric collocation methods for linear differential-algebraic boundary value problems", "abstract_raw": "We present symmetric collocation methods for linear differential-algebraic boundary value problems without restrictions on the index or the structure of the differential-algebraic equation. In particular, we do not require a separation into differential and algebraic solution components. Instead, we use the splitting into differential and algebraic equations (which arises naturally by index reduction techniques) and apply Gaus-type (for the differential part) and Lobatto-type (for the algebraic part) collocation schemes to obtain a symmetric method which guarantees consistent approximations at the mesh points. Under standard assumptions, we show solvability and stability of the discrete problem and determine its order of convergence. Moreover, we show superconvergence when using the combination of Gaus and Lobatto schemes and discuss the application of interpolation to reduce the number of function evaluations. Finally, we present some numerical comparisons to show the reliability and efficiency of the new methods." }, { "paper": "2165064644", "venue": "3006183880", "year": "2002", "title": "stability of frictional heating in plane couette flow at fixed power input", "label": [ "2524010", "2777215656", "2779099160", "119567554", "36625806" ], "author": [ "1774271875", "2320952438", "2165698830" ], "reference": [ "1515753283", "1985226526", "2025989330", "2088942048", "2090865430" ], "abstract": "if the viscosity of a fluid in plane couette flow decreases exponentially as its temperature increases the curve of wall speed versus wall stress has two branches separated by a turning point our aim is to demonstrate that the upper branch of this curve is stable to zero wavenumber disturbances in case the power supplied to move the wall is the input variable and is held fixed", "title_raw": "Stability of frictional heating in plane Couette flow at fixed power input", "abstract_raw": "If the viscosity of a fluid in plane Couette flow decreases exponentially as its temperature increases, the curve of wall speed versus wall stress has two branches, separated by a turning point. Our aim is to demonstrate that the upper branch of this curve is stable to zero wavenumber disturbances in case the power supplied to move the wall is the input variable and is held fixed." }, { "paper": "2010661079", "venue": "165473669", "year": "2002", "title": "global convergence of a two parameter family of conjugate gradient methods without line search", "label": [ "2780861071", "28826006", "81184566", "126255220", "136798861", "115680565" ], "author": [ "2671020805", "2494594460" ], "reference": [ "129805247", "2012231377", "2014851363", "2056603712", "2066743741", "2091549324" ], "abstract": "we study the global convergence of a two parameter family of conjugate gradient methods in which the line search procedure is replaced by a fixed formula of stepsize this character is of significance if the line search is expensive in a particular application in addition to the convergence results we present computational results for various conjugate gradient methods without line search including those discussed by sun and zhang ann oper res 103 2001 161 173", "title_raw": "Global convergence of a two-parameter family of conjugate gradient methods without line search", "abstract_raw": "We study the global convergence of a two-parameter family of conjugate gradient methods in which the line search procedure is replaced by a fixed formula of stepsize. This character is of significance if the line search is expensive in a particular application. In addition to the convergence results, we present computational results for various conjugate gradient methods without line search including those discussed by Sun and Zhang. (Ann. Oper. Res. 103 (2001) 161-173)." }, { "paper": "2074252822", "venue": "100601982", "year": "2002", "title": "the local structure of zero mode producing magnetic potentials", "label": [ "194127275", "142195825", "151300846", "158650840", "156004811", "2777215656", "2780658932", "134306372", "99730327" ], "author": [ "2983389079" ], "reference": [ "1575147392", "1964165393", "1968100044", "2026638915", "2035457395", "2040748959", "2047459478", "2052235683", "2053440160", "2133363292", "3015812969" ], "abstract": "we consider the class of continuous magnetic potentials on 3 which decay as o x 1 within this class it is shown that the set of potentials whose associated weyl dirac operator produces zero modes with multiplicity m forms a smooth submanifold of co dimension m2 when m 0 1 2 and is contained in a smooth submanifold of co dimension 2m 1 when m 3", "title_raw": "The Local Structure of Zero Mode\u00b6Producing Magnetic Potentials", "abstract_raw": "We consider the class of continuous magnetic potentials on \u211d3 which decay as o(|x|\u2212 1). Within this class it is shown that the set of potentials whose associated Weyl-Dirac operator produces zero modes with multiplicity m forms a smooth submanifold of co-dimension m2 when m= 0, 1, 2, and is contained in a smooth submanifold of co-dimension 2m\u2212 1 when m\u2265 3." }, { "paper": "1984473922", "venue": "151579836", "year": "2002", "title": "nonzero solutions of hammerstein integral equations with discontinuous kernels", "label": [ "77553402", "134306372", "182310444", "2781402861", "139676723", "18648836", "78045399", "2780668686", "27016315" ], "author": [ "2116831615", "2115784043" ], "reference": [ "1605250361", "2012690597", "2013537515", "2029514159", "2032092333", "2069459196", "2091889090", "2094247338", "2157895958" ], "abstract": "using the theory of fixed point index we establish new results for the existence of nonzero solutions of integral equations of the form u t gk t s f s u s ds where g is a compact set in rn and k changes sign so positive solutions may not exist f satisfies caratheodory conditions and k may be discontinuous we apply our results to prove the existence of nontrivial solutions of some nonlocal boundary value problems", "title_raw": "Nonzero solutions of Hammerstein integral equations with discontinuous kernels", "abstract_raw": "Using the theory of fixed point index, we establish new results for the existence of nonzero solutions of integral equations of the form u(t)=\u222bGk(t,s)f(s,u(s))ds, where G is a compact set in Rn and k changes sign, so positive solutions may not exist, f satisfies Caratheodory conditions and k may be discontinuous. We apply our results to prove the existence of nontrivial solutions of some nonlocal boundary value problems." }, { "paper": "2093467115", "venue": "159544283", "year": "2002", "title": "multiplicative preservers on semigroups of matrices", "label": [ "94940", "149488123", "69044650", "175380299", "92207270", "17349429", "137127113", "114614502", "62555958" ], "author": [ "2111158514", "2179194291", "2115140831" ], "reference": [ "50638871", "1485862647", "1488435683", "1922505179", "2002941494", "2013372736", "2042338298", "2062899136", "2067894710", "2074510130", "2079902698", "2088575536", "2323729292", "2392972020" ], "abstract": "we characterize multiplicative maps on semigroups of square matrices satisfying p p for matrix sets p such as rank k idempotent matrices totally nonnegative matrices p0 matrices m0 matrices positive semidefinite matrices hermitian matrices normal matrices and contractions we also characterize multiplicative maps satisfying g x x for various functions g on square matrices such as the spectrum spectral radius numerical range numerical radius and matrix norms", "title_raw": "Multiplicative preservers on semigroups of matrices", "abstract_raw": "We characterize multiplicative maps \u03c6 on semigroups of square matrices satisfying \u03c6(P)\u2286P for matrix sets P, such as rank k (idempotent) matrices, totally nonnegative matrices, P0 matrices, M0 matrices, positive semidefinite matrices, Hermitian matrices, normal matrices, and contractions. We also characterize multiplicative maps \u03c6 satisfying \u03c6(g(X))=\u03c6(X) for various functions g on square matrices, such as the spectrum, spectral radius, numerical range, numerical radius, and matrix norms." }, { "paper": "2048175116", "venue": "79244937", "year": "2002", "title": "space of state vectors in symmetric quantum mechanics", "label": [ "142195825" ], "author": [ "3173410643" ], "reference": [ "194875375", "1490172744", "1500256440", "1504171473", "1537963820", "1579305052", "1984386882", "2009172517", "2040246371", "2051235662", "2051324201", "2065154616", "2065257265", "2067123857", "2071035884", "2084137398", "2092747297", "2093512512", "2098311068", "2281465142", "3102943598" ], "abstract": "the space of states of symmetric quantum mechanics is examined the requirement that eigenstates with different eigenvalues must be orthogonal leads to the conclusion that eigenfunctions belong to a space with an indefinite metric self consistent expressions for the probability amplitude and the average value of operator are suggested further specification of the space of state vectors yields a superselection rule redefining the notion of the superposition principle an expression for the probability current density satisfying the equation of continuity and vanishing for the bound state is proposed", "title_raw": "Space of state vectors in -symmetric quantum mechanics", "abstract_raw": "The space of states of -symmetric quantum mechanics is examined. The requirement that eigenstates with different eigenvalues must be orthogonal leads to the conclusion that eigenfunctions belong to a space with an indefinite metric. Self-consistent expressions for the probability amplitude and the average value of operator are suggested. Further specification of the space of state vectors yields a superselection rule, redefining the notion of the superposition principle. An expression for the probability current density, satisfying the equation of continuity and vanishing for the bound state, is proposed." }, { "paper": "2006327432", "venue": "50372074", "year": "2002", "title": "on the periodic solutions for an n th order difference equations", "label": [ "114460028", "48753275", "134196196", "2778082279", "201292218", "139609574", "75190567", "134306372", "202444582", "78045399" ], "author": [ "364924408", "2129991666" ], "reference": [ "1965752642", "1977418810", "2065029811", "2074711713", "2325578043", "2795407492", "3021722416" ], "abstract": "we shall study the existence of periodic solutions for an nth order difference equation x n 1 f x n x n 1 x n k and find the necessary and sufficient conditions which make all solutions of this equation periodic we shall use a new technique to study the periodic solutions and apply it to the rational difference equation", "title_raw": "On the periodic solutions for an n th-order difference equations", "abstract_raw": "We shall study the existence of periodic solutions for an nth-order difference equation x\"n\"+\"1=F(x\"n,x\"n\"-\"1,...,x\"n\"-\"k) and find the necessary and sufficient conditions which make all solutions of this equation periodic. We shall use a new technique to study the periodic solutions and apply it to the rational difference equation." }, { "paper": "1998155527", "venue": "35412551", "year": "2002", "title": "reply to comment on spectral filters in quantum mechanics a measurement theory perspective", "label": [ "102519508", "158693339", "17378031", "148486804", "184389593", "124897322" ], "author": [ "2169141950" ], "reference": [], "abstract": "we address the issues raised in the preceding comment by mandelshtam and carrington phys rev e 65 028701 2002 concerning the eigenvalue determination by the spectral filter methods we argue that the fourier transformation is the building block of all currently known time domain spectral filter algorithms and therefore the time energy uncertainty principle affects them all in a similar manner we also explain the situation when the correlation function method may be less suitable in comparison to the filter diagonalization method for the determination of eigenvalues even though both share the same fundamental principles", "title_raw": "Reply to Comment on \"Spectral filters in quantum mechanics: A measurement theory perspective\".", "abstract_raw": "We address the issues raised in the preceding comment by Mandelshtam and Carrington [Phys. Rev. E 65, 028701 (2002)], concerning the eigenvalue determination by the spectral filter methods. We argue that the Fourier transformation is the building block of all currently known time-domain spectral filter algorithms, and, therefore, the time-energy uncertainty principle affects them all in a similar manner. We also explain the situation when the correlation function method may be less suitable, in comparison to the filter diagonalization method, for the determination of eigenvalues, even though both share the same fundamental principles." }, { "paper": "2007344849", "venue": "45918994", "year": "2002", "title": "hodge structures on abelian varieties of type iii", "label": [ "145711463", "54678060", "136170076", "2776933995", "155069649", "46709022", "202444582", "195637984", "81008192", "125565743" ], "author": [ "1992165058" ], "reference": [], "abstract": "we show that the usual hodge conjecture implies the general hodge conjecture for certain abelian varieties of type iii and use this to deduce the general hodge conjecture for all powers of certain 4 dimensional abelian varieties of type iii we also show the existence of a hodge structure m such that m occurs in the cohomology of an abelian variety but the tate twist m 1 does not occur in the cohomology of any abelian variety even though it is effective", "title_raw": "Hodge structures on abelian varieties of type III", "abstract_raw": "We show that the usual Hodge conjecture implies the general Hodge conjecture for certain abelian varieties of type III, and use this to deduce the general Hodge conjecture for all powers of certain 4-dimensional abelian varieties of type III. We also show the existence of a Hodge structure M such that M occurs in the cohomology of an abelian variety, but the Tate twist M(1) does not occur in the cohomology of any abelian variety, even though it is effective." }, { "paper": "2045275207", "venue": "53336109", "year": "2002", "title": "stochastic estimation of large structures in an incompressible mixing layer", "label": [ "8272713", "138777275", "134306372", "2524010" ], "author": [ "2139539191", "2279328272" ], "reference": [ "1615549157", "1964148926", "1969415780", "1974659242", "1984401427", "1988955602", "1994117405", "1994927638", "2014193049", "2016553601", "2021577685", "2031534245", "2034039529", "2042952976", "2057771431", "2059152481", "2063325198", "2066662782", "2069403798", "2071285068", "2083828795", "2090504076", "2128377710", "2135353663", "2141455293", "2147936104", "2155467066", "2157396194", "2160428180" ], "abstract": "high vector density planar velocity fields were obtained for an incompressible mixing layer using particle image velocimetry piv for the purpose of determining spatial correlations of velocity fluctuations and linear stochastic estimates of the large scale structures the linear stochastic estimates were calculated based on the deformation tensor the velocity ratio of the mixing layer was 0 575 and the density ratio was unity at the location where the piv images were obtained re x 1 8 10 5 re 1 1 10 4 and the pairing parameter was rx 8", "title_raw": "Stochastic estimation of large structures in an incompressible mixing layer", "abstract_raw": "High-vector density planar velocity fields were obtained for an incompressible mixing layer using particle image velocimetry (PIV) for the purpose of determining spatial correlations of velocity fluctuations and linear stochastic estimates of the large-scale structures. The linear stochastic estimates were calculated based on the deformation tensor. The velocity ratio of the mixing layer was 0.575, and the density ratio was unity. At the location where the PIV images were obtained, Re x = 1.8 \u00d7 10 5 , Re\u03b4 \u03c9 = 1.1 \u00d7 10 4 , and the pairing parameter was Rx/\u03bb = 8" }, { "paper": "2080270420", "venue": "153560523", "year": "2002", "title": "quantum formulas a lower bound and simulation", "label": [ "200415742", "177925012", "158465420", "77553402", "114614502", "187455244", "141796577" ], "author": [ "286655925", "1253166087" ], "reference": [ "1517585663", "1572584518", "1631356911", "1643301482", "2008470071", "2022721156", "2022763264", "2028406173", "2033216491", "2061073612", "2062567923", "2084652510", "2095618864", "2101088258", "2102008187", "2116102644", "2116858786", "2117584890", "2159566537", "2160083149", "2398918824", "2985141412", "3023478445" ], "abstract": "we show that nechiporuk s method i wegener the complexity of boolean functions teubner wiley new york 1987 for proving lower bounds for boolean formulas can be extended to the quantum case this leads to an omega n 2 log 2 n lower bound for quantum formulas computing an explicit function the only known previous explicit lower bound for quantum formulas a yao proceedings of 34th ieee symposium on foundations of computer science ieee computer society press los alamitos ca 1993 pp 352 361 states that the majority function does not have a linear size quantum formula we also show that quantum formulas can be simulated by boolean circuits of almost the same size", "title_raw": "Quantum Formulas: A Lower Bound and Simulation", "abstract_raw": "We show that Nechiporuk's method [I. Wegener, The Complexity of Boolean Functions, Teubner-Wiley, New York, 1987] for proving lower bounds for Boolean formulas can be extended to the quantum case. This leads to an $\\Omega(n^2/\\log^2 n)$ lower bound for quantum formulas computing an explicit function. The only known previous explicit lower bound for quantum formulas [A. Yao, Proceedings of 34th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society Press, Los Alamitos, CA, 1993, pp. 352--361] states that the majority function does not have a linear-size quantum formula. We also show that quantum formulas can be simulated by Boolean circuits of almost the same size." }, { "paper": "1989955119", "venue": "414566", "year": "2002", "title": "optimal design of radial basis function neural networks for fuzzy rule extraction in high dimensional data", "label": [ "148671577", "127385683", "29470771", "186108316", "17212007" ], "author": [ "1355653182", "2010694803", "1982767616", "1851866761" ], "reference": [ "94523489", "1770825568", "1974364887", "1987801991", "1987857273", "1996747841", "2002645541", "2016959655", "2020303016", "2024184249", "2030765510", "2040193698", "2040365885", "2052649001", "2053677366", "2061984183", "2068307051", "2070855977", "2071905202", "2071962893", "2079325629", "2081040353", "2085386860", "2094510831", "2099473778", "2106504576", "2113076747", "2114515835", "2115077250", "2135346934", "2139350060", "2141075788", "2146710053", "2151512607", "2155399784", "2162430466", "2165729498", "2183090669", "2302986072" ], "abstract": "abstract the design of an optimal radial basis function neural network rbfnf is not a straightforward procedure in this paper we take advantage of the functional equivalence between rbfn and fuzzy inference systems to propose a novel efficient approach to rbfn design for fuzzy rule extraction the method is based on advanced fuzzy clustering techniques solutions to practical problems are proposed by combining these different solutions a general methodology is derived the efficiency of our method is demonstrated on challenging synthetic and real world data sets", "title_raw": "Optimal design of radial basis function neural networks for fuzzy-rule extraction in high dimensional data", "abstract_raw": "Abstract The design of an optimal radial basis function neural network (RBFNF) is not a straightforward procedure. In this paper we take advantage of the functional equivalence between RBFN and fuzzy inference systems to propose a novel efficient approach to RBFN design for fuzzy rule extraction. The method is based on advanced fuzzy clustering techniques. Solutions to practical problems are proposed. By combining these different solutions, a general methodology is derived. The efficiency of our method is demonstrated on challenging synthetic and real world data sets." }, { "paper": "2090605082", "venue": "184147796", "year": "2002", "title": "neat idempotents and tiled orders having large global dimension", "label": [ "2777726979", "2780840165", "125565743", "96489954" ], "author": [ "2590434950" ], "reference": [ "1534263397", "1980277797", "1993646635", "2033369797", "2038922159", "2042685311", "2046496909", "2054300237", "2068107667", "2089138995", "2104981411" ], "abstract": "abstract we study neat primitive idempotents in a semiperfect noetherian ring and as an application we improve an example of a tiled order having large global dimension given by jansen and odenthal moreover another two tiled orders having large global dimension are added and two questions on tiled orders of finite global dimension are posed", "title_raw": "Neat idempotents and tiled orders having large global dimension", "abstract_raw": "Abstract We study neat primitive idempotents in a semiperfect Noetherian ring, and as an application, we improve an example of a tiled order having large global dimension given by Jansen and Odenthal. Moreover, another two tiled orders having large global dimension are added and two questions on tiled orders of finite global dimension are posed." }, { "paper": "2085610971", "venue": "200871675", "year": "2002", "title": "limit sets for multidimensional nonlinear transport equations", "label": [ "51337361", "10927425", "2780850045", "158622935", "134306372", "151201525", "121231716", "38349280" ], "author": [ "2068884499" ], "reference": [ "16559667", "148325819", "1537383557", "1594759473", "1969754919", "1994725903", "2100220604" ], "abstract": "abstract we propose a hyperbolic generalisation of the well known reaction diffusion equation and study the structure of its limit sets under a dissipativity condition on the nonlinearity we show quasi convergence of the flow saying that the limit set of any orbit is non empty compact connected and contained in the set of equilibrium solutions", "title_raw": "Limit Sets for Multidimensional Nonlinear Transport Equations", "abstract_raw": "Abstract We propose a hyperbolic generalisation of the well-known reaction diffusion equation and study the structure of its \u03c9 -limit sets. Under a dissipativity condition on the nonlinearity, we show quasi-convergence of the flow, saying that the \u03c9 -limit set of any orbit is non-empty, compact, connected, and contained in the set of equilibrium solutions." }, { "paper": "2137557016", "venue": "118988714", "year": "2002", "title": "efficient svm training using low rank kernel representations", "label": [ "155253501", "126255220", "77553402", "1026927", "90199385", "122280245", "179799912" ], "author": [ "2098016057", "2025747773" ], "reference": [ "1496612019", "1504590272", "1512098439", "1518039036", "1551209770", "1574862351", "1597804106", "1761010383", "1846690939", "1986502734", "1993754759", "2043118877", "2069535670", "2072574577", "2084812512", "2086867325", "2087347434", "2094435468", "2108136473", "2112545207", "2115974907", "2156909104", "2166473218", "2798909945", "2982720039" ], "abstract": "svm training is a convex optimization problem which scales with the training set size rather than the feature space dimension while this is usually considered to be a desired quality in large scale problems it may cause training to be impractical the common techniques to handle this difficulty basically build a solution by solving a sequence of small scale subproblems our current effort is concentrated on the rank of the kernel matrix as a source for further enhancement of the training procedure we first show that for a low rank kernel matrix it is possible to design a better interior point method ipm in terms of storage requirements as well as computational complexity we then suggest an efficient use of a known factorization technique to approximate a given kernel matrix by a low rank matrix which in turn will be used to feed the optimizer finally we derive an upper bound on the change in the objective function value based on the approximation error and the number of active constraints support vectors this bound is general in the sense that it holds regardless of the approximation method", "title_raw": "Efficient svm training using low-rank kernel representations", "abstract_raw": "SVM training is a convex optimization problem which scales with the training set size rather than the feature space dimension. While this is usually considered to be a desired quality, in large scale problems it may cause training to be impractical. The common techniques to handle this difficulty basically build a solution by solving a sequence of small scale subproblems. Our current effort is concentrated on the rank of the kernel matrix as a source for further enhancement of the training procedure. We first show that for a low rank kernel matrix it is possible to design a better interior point method (IPM) in terms of storage requirements as well as computational complexity. We then suggest an efficient use of a known factorization technique to approximate a given kernel matrix by a low rank matrix, which in turn will be used to feed the optimizer. Finally, we derive an upper bound on the change in the objective function value based on the approximation error and the number of active constraints (support vectors). This bound is general in the sense that it holds regardless of the approximation method." }, { "paper": "1976352511", "venue": "70695507", "year": "2002", "title": "decay bounds in initial boundary value problems for nonlinear parabolic systems", "label": [ "158622935", "93779851", "26955809", "2779560616", "2776548862", "77553402", "134306372", "182310444" ], "author": [ "2117306573", "2170958174" ], "reference": [ "166134817", "1973894022", "2046904024", "2071919148", "2073770211", "2314382232" ], "abstract": "", "title_raw": "Decay bounds in initial-boundary value problems for nonlinear parabolic systems", "abstract_raw": "" }, { "paper": "2009935306", "venue": "35412551", "year": "2002", "title": "law of universal mortality", "label": [ "101561427", "2776291640" ], "author": [ "2108561715" ], "reference": [], "abstract": "mortality is arguably the best statistically quantified biological phenomenon this allows for a physical approach to its study i establish that in well protected populations a dominant fraction of mortality at a given age depends on a single parameter only such invariance to any other time and space changes is known only in general relativity it is so mathematically restrictive that with no other knowledge of experimental data it is sufficient to predict the exact law it is universal for species as remote as humans and flies the law unravels its biologically nonspecific thermodynamic mechanism it implies that within a couple of years human mortality may be reset to its value at a much younger age the reversal albeit not yet as rapid is consistent with demographic data for instance swedish females born in 1916 at 48 yr restored their mortality rate 28 yr earlier the law and its other predictions and implications are also verified the universal law suggests that a dominant fraction of mortality in well protected populations is just a by product which may be eliminated total mortality can be significantly decreased", "title_raw": "Law of universal mortality.", "abstract_raw": "Mortality is arguably the best statistically quantified biological phenomenon. This allows for a physical approach to its study. I establish that in well protected populations, a dominant fraction of mortality at a given age depends on a single parameter only. Such invariance to any other time and space changes is known only in general relativity. It is so mathematically restrictive that, with no other knowledge of experimental data, it is sufficient to predict the exact law. It is universal for species as remote as humans and flies. The law unravels its biologically nonspecific thermodynamic mechanism. It implies that within a couple of years human mortality may be reset to its value at a much younger age. The reversal (albeit not yet as rapid) is consistent with demographic data. For instance, Swedish females, born in 1916, at 48 yr restored their mortality rate 28 yr earlier. The law and its other predictions and implications are also verified. The universal law suggests that a dominant fraction of mortality in well protected populations is just a by-product, which may be eliminated. Total mortality can be significantly decreased." }, { "paper": "1982154888", "venue": "73535193", "year": "2002", "title": "existence results and approximation methods for functional ordinary differential equations with singular diffusion type differential operators", "label": [ "13982400", "101487385", "163105828", "84629840", "51544822", "78045399", "186219872", "134306372", "185184677" ], "author": [ "1963581940", "2140587503", "1861106174" ], "reference": [ "1515799674", "2002069147", "2004494904", "2073698336", "2130967448" ], "abstract": "abstract we derive sufficient conditions for the existence of extremal solutions for a second order singular functional differential equation subject to initial data the type of equations that we study here can be regarded as stationary and one dimensional models for diffusion processes in which the diffusion coefficient is not a constant we have also tried to relax the regularity assumptions as far as possible in order to extend the applicability of our result we present an example in which the extremal solutions are approximated", "title_raw": "Existence results and approximation methods for functional ordinary differential equations with singular diffusion-type differential operators", "abstract_raw": "Abstract We derive sufficient conditions for the existence of extremal solutions for a second-order singular functional differential equation subject to initial data. The type of equations that we study here can be regarded as stationary and one-dimensional models for diffusion processes in which the diffusion coefficient is not a constant. We have also tried to relax the regularity assumptions as far as possible, in order to extend the applicability of our result. We present an example in which the extremal solutions are approximated." }, { "paper": "1714470535", "venue": "79244937", "year": "2002", "title": "classical r matrix theory of dispersionless systems ii 2 1 dimension theory", "label": [ "100906024", "121770821", "134306372", "175205982", "4188701", "2778029271", "2778325938", "200741047", "202444582", "184311908" ], "author": [ "2010024791", "2310163027" ], "reference": [ "1573927207", "1873393476", "1985708760", "1995146086", "1997214395", "2020858833", "2021030453", "2034588393", "2034679095", "2071180590", "2077200343", "2081649323", "2090884581", "2097768698", "2110860393", "2154435402", "2992916319", "3101246281", "3106199332" ], "abstract": "a systematic way of constructing 2 1 dimensional dispersionless integrable hamiltonian systems is presented the method is based on the so called central extension procedure and classical r matrix applied to the poisson algebras of formal laurent series results are illustrated with the known and new 2 1 dimensional dispersionless systems", "title_raw": "Classical R-matrix theory of dispersionless systems: II. (2 + 1) dimension theory", "abstract_raw": "A systematic way of constructing (2 + 1)-dimensional dispersionless integrable Hamiltonian systems is presented. The method is based on the so-called central extension procedure and classical R-matrix applied to the Poisson algebras of formal Laurent series. Results are illustrated with the known and new (2 + 1)-dimensional dispersionless systems." }, { "paper": "2003366162", "venue": "169411308", "year": "2003", "title": "comments on generalization of stability criterion for takagi sugeno continuous fuzzy model", "label": [ "177148314", "2778925954", "28826006" ], "author": [ "2699082662", "2669694945" ], "reference": [ "1494474111", "1973180585" ], "abstract": "this note points out that some results in the paper fuzzy sets and systems 129 2002 295 are incorrect", "title_raw": "Comments on Generalization of stability criterion for Takagi-Sugeno continuous fuzzy model", "abstract_raw": "This note points out that some results in the paper (Fuzzy sets and systems 129 (2002) 295) are incorrect." }, { "paper": "1986150551", "venue": "8265502", "year": "2003", "title": "the evidential value in the dna database search controversy and the two stain problem", "label": [ "144237770", "143095724", "105795698" ], "author": [ "2212025417", "2078048635" ], "reference": [ "92604008", "184744898", "1565342136", "2092593920", "2093599316", "2097418306", "2121427667", "2121691771", "2396851196", "3121390196" ], "abstract": "does the evidential strength of a dna match depend on whether the suspect was identified through database search or through other evidence probable cause in balding and donnelly 1995 journal of the royal statistical society series a 158 21 53 and elsewhere it has been argued that the evidential strength is slightly larger in a database search case than in a probable cause case while stockmarr 1999 biometrics 55 671 677 reached the opposite conclusion both these approaches use likelihood ratios by making an excursion to a similar problem the two stain problem we argue in this article that there are certain fundamental difficulties with the use of a likelihood ratio which can be avoided by concentrating on the posterior odds this approach helps resolving the above mentioned conflict", "title_raw": "The Evidential Value in the DNA Database Search Controversy and the Two-Stain Problem", "abstract_raw": "Does the evidential strength of a DNA match depend on whether the suspect was identified through database search or through other evidence (\"probable cause\")? In Balding and Donnelly (1995, Journal of the Royal Statistical Society, Series A 158, 21-53) and elsewhere, it has been argued that the evidential strength is slightly larger in a database search case than in a probable cause case, while Stockmarr (1999, Biometrics 55, 671-677) reached the opposite conclusion. Both these approaches use likelihood ratios. By making an excursion to a similar problem, the two-stain problem, we argue in this article that there are certain fundamental difficulties with the use of a likelihood ratio, which can be avoided by concentrating on the posterior odds. This approach helps resolving the above-mentioned conflict." }, { "paper": "2075639276", "venue": "172180718", "year": "2003", "title": "copula model generated by dabrowska s association measure", "label": [ "105795698", "149782125", "113088587", "64341305" ], "author": [ "2087397747", "2165407721" ], "reference": [ "1593493925", "1963509555", "1985409483", "1987067784", "1990860515", "2054957279", "2072258798", "2072872252", "2083113784", "2088389048", "2403080995", "2796930163" ], "abstract": "summary we propose a new archimedean copula model for bivariate survival data that is motivated by dabrowska s 1988 measure of association the model can represent negatively correlated or moderately positively correlated data but not highly positively correlated data local and global measures of association are calculated a generalisation is presented", "title_raw": "Copula model generated by Dabrowska's association measure", "abstract_raw": "SUMMARY We propose a new archimedean copula model for bivariate survival data that is motivated by Dabrowska's (1988) measure of association. The model can represent negatively correlated or moderately positively correlated data but not highly positively correlated data. Local and global measures of association are calculated. A generalisation is presented." }, { "paper": "2046769020", "venue": "184954342", "year": "2003", "title": "h sub 2 control with time domain constraints theory and an application", "label": [ "81299745", "81845259", "126255220", "103824480", "59372978" ], "author": [ "2029409834", "2310061466", "1995044874" ], "reference": [ "68730346", "657381656", "1480129307", "1495394058", "1511785072", "1514485126", "1550510068", "1565506039", "1587896752", "1638384496", "1666107661", "1868559974", "1970273832", "1976861019", "2008109035", "2015672003", "2018157916", "2019588170", "2021563297", "2025713029", "2027693037", "2036399813", "2042106612", "2089794599", "2095589469", "2095840481", "2097645980", "2103876808", "2105224430", "2107945144", "2112128543", "2115931752", "2116751288", "2118460264", "2119885728", "2124443571", "2125858574", "2125887357", "2138280907", "2138942446", "2146221819", "2148074858", "2148392138", "2152968783", "2155011318", "2155383311", "2155527096", "2161505441", "2166827017", "2167501464", "2171505650", "2174853294", "2174940466", "2233094356", "2340480757", "2357291788", "2567137345", "2606637440", "2753461371", "2798813531", "3156347756" ], "abstract": "in this paper we study the problem of minimizing the h sub 2 norm of a given transfer function subject to time domain constraints on the time response of a different transfer function to a given test signal the main result of this paper shows that this problem admits a minimizing solution in r h sub 2 moreover rational solutions with performance arbitrarily close to optimal can be found by constructing families of approximating problems each one of these problems entails solving a finite dimensional quadratic programming problem whose dimension can be determined before hand these results are illustrated and experimentally validated by designing a controller for an active vision application", "title_raw": "H/sub 2/ control with time-domain constraints: theory and an application", "abstract_raw": "In this paper, we study the problem of minimizing the H/sub 2/ norm of a given transfer function subject to time-domain constraints on the time response of a different transfer function to a given test signal. The main result of this paper shows that this problem admits a minimizing solution in R~H~/sub 2/. Moreover, rational solutions with performance arbitrarily close to optimal can be found by constructing families of approximating problems. Each one of these problems entails solving a finite-dimensional quadratic programming problem whose dimension can be determined before hand. These results are illustrated and experimentally validated by designing a controller for an active vision application." }, { "paper": "2024715369", "venue": "151579836", "year": "2003", "title": "boundary behavior of the bergman kernel function on pseudoconvex domains with comparable levi form", "label": [ "62354387", "58442840", "202444582", "34388435", "28719098", "2779554487", "36503486", "17139452", "144618667", "134306372" ], "author": [ "2228385224" ], "reference": [ "324177164", "1593679773", "1931194636", "1964600262", "1967475446", "1979359512", "2003992805", "2019128429", "2051332195", "2079367669", "2162747898", "2167754830", "2322869760", "2330408022", "2332533383" ], "abstract": "abstract let be a smoothly bounded pseudoconvex domain in c n and let z 0 b be a point of finite type we also assume that the levi form of b is comparable in a neighborhood of z0 then we get a quantity which bounds from above and below the bergman kernel function in a small constant and large constant sense", "title_raw": "Boundary behavior of the Bergman kernel function on pseudoconvex domains with comparable Levi form", "abstract_raw": "Abstract Let \u03a9 be a smoothly bounded pseudoconvex domain in C n and let z 0 \u2208b\u03a9 be a point of finite type. We also assume that the Levi form of b\u03a9 is comparable in a neighborhood of\u00a0z0. Then we get a quantity which bounds from above and below the Bergman kernel function in a small constant and large constant sense." }, { "paper": "2105168014", "venue": "168680287", "year": "2003", "title": "performance evaluation of super orthogonal space time trellis codes using a moment generating function based approach", "label": [ "157125643", "11413529", "197712280", "114504821", "78944582", "118615104", "157899210", "2400350", "64948573", "5546382" ], "author": [ "2921363099", "166913908" ], "reference": [ "598996319", "1561440938", "1983917598", "2075296511", "2107080958", "2110659753", "2112048531", "2117733188", "2118040894", "2123357724", "2142895215", "2152670498", "2172081628" ], "abstract": "a new class of space time codes called super orthogonal trellis codes was introduced that combine set partitioning with a super set of orthogonal space time block codes in such a way as to provide full diversity with increased rate and improved coding gain over previous space time trellis code sttc constructions here we extend the moment generating function based method which was previously applied to analyzing the performance of space time block orthogonal and trellis codes to the above mentioned super orthogonal codes it is shown that the maximum likelihood metric and expressions for the pairwise error probability previously developed for the alamouti 1998 space time block code combined with multidimensional trellis coded modulation can be readily extended to the super orthogonal case as such the evaluation of the pairwise error probability for the latter can be performed in a similar manner to that previously described with the specific results depending on the particular trellis code design", "title_raw": "Performance evaluation of super-orthogonal space-time trellis codes using a moment generating function-based approach", "abstract_raw": "A new class of space-time codes called super-orthogonal trellis codes was introduced that combine set-partitioning with a super set of orthogonal space-time block codes in such a way as to provide full diversity with increased rate and improved coding gain over previous space-time trellis code (STTC) constructions. Here, we extend the moment generating function-based method, which was previously applied to analyzing the performance of space-time block orthogonal and trellis codes, to the above-mentioned super-orthogonal codes. It is shown that the maximum-likelihood metric and expressions for the pairwise error probability previously developed for the Alamouti (1998) space-time block code combined with multidimensional trellis-coded modulation can be readily extended to the super-orthogonal case. As such, the evaluation of the pairwise error probability for the latter can be performed in a similar manner to that previously described with the specific results depending on the particular trellis code design." }, { "paper": "184276028", "venue": "203348814", "year": "2003", "title": "the p_1 protect lowercasemod element a new nonconforming finite element for convection diffusion problems", "label": [ "28826006", "135628077", "73000952", "24810621", "144468803", "2778958889", "17456955", "186899397", "48753275", "2524010" ], "author": [ "2182666307", "63616245" ], "reference": [], "abstract": "we consider a nonconforming streamline diffusion finite element method for solving convection diffusion problems the loss of the galerkin orthogonality of the streamline diffusion method when applied to nonconforming finite element approximations results in an additional error term which cannot be estimated uniformly with respect to the perturbation parameter for the standard piecewise linear or rotated bilinear elements therefore starting from the crouzeix raviart element we construct a modified nonconforming first order finite element space on shape regular triangular meshes satisfying a patch test of higher order a rigorous error analysis of this p 1 mbox scriptsize it mod element applied to a streamline diffusion discretization is given the numerical tests show the robustness and the high accuracy of the new method", "title_raw": "The $P_1^\\protect\\lowercasemod$ Element: A New Nonconforming Finite Element for Convection-Diffusion Problems", "abstract_raw": "We consider a nonconforming streamline diffusion finite element method for solving convection-diffusion problems. The loss of the Galerkin orthogonality of the streamline diffusion method when applied to nonconforming finite element approximations results in an additional error term which cannot be estimated uniformly with respect to the perturbation parameter for the standard piecewise linear or rotated bilinear elements. Therefore, starting from the Crouzeix--Raviart element, we construct a modified nonconforming first order finite element space on shape regular triangular meshes satisfying a patch test of higher order. A rigorous error analysis of this $P_1^{\\mbox{\\scriptsize\\it mod}}$ element applied to a streamline diffusion discretization is given. The numerical tests show the robustness and the high accuracy of the new method." }, { "paper": "1998550683", "venue": "169411308", "year": "2003", "title": "averaging procedures in defuzzification processes", "label": [ "148671577", "9376300", "11413529", "182419690", "118615104" ], "author": [ "2647732457", "2641655830" ], "reference": [ "131649693", "1575611982", "1898259180", "1964682347", "2024284069", "2062313604", "2072037153", "2082285982", "2097581696", "2148083797", "2277514732", "2398265764", "3145072800" ], "abstract": "defuzzification is the ultimate step in approximate reasoning consisting in the replacement of a fuzzy set with a suitable crisp value this process is decomposed in two steps first replacing a fuzzy set by a crisp set then replacing the obtained crisp set by a single value we investigate the natural conditions the first replacement called averaging procedure should satisfy some interesting examples are given the compatibility of averaging procedures with algebraic and order structures is studied the algebraic structure of the set of averaging procedures is investigated", "title_raw": "Averaging procedures in defuzzification processes", "abstract_raw": "Defuzzification is the ultimate step in approximate reasoning, consisting in the replacement of a fuzzy set with a suitable crisp value. This process is decomposed in two steps: first, replacing a fuzzy set by a crisp set, then replacing the obtained crisp set by a single value. We investigate the natural conditions the first replacement--called averaging procedure--should satisfy. Some interesting examples are given. The compatibility of averaging procedures with algebraic and order structures is studied. The algebraic structure of the set of averaging procedures is investigated." }, { "paper": "2106612274", "venue": "61604500", "year": "2003", "title": "effects of local nonlinearity and basin size in the dynamics of lattices of bistable maps", "label": [ "158622935", "130432447", "110121322", "97292510", "2781367577" ], "author": [ "2238471051", "2689685898", "1991979478" ], "reference": [ "1985066491", "1989635039", "2002977410", "2076204267", "2081004751", "2085854290", "2086126894" ], "abstract": "we investigate the propagation of bistable fronts in lattices of diusively and advectively coupled cubic and quartic bistable maps reporting the distribution of both stable states for asymmetric basins of attraction the main eects of basin symmetry and local nonlinearities are obtained by comparing distributions for cubic local dynamics with either symmetric or asymmetric basins of attraction with those obtained for quartic maps with asymmetric basins in addition we show how front velocities depend on the local parameter and diusion c", "title_raw": "Effects of local nonlinearity and basin size in the dynamics of lattices of bistable maps", "abstract_raw": "We investigate the propagation of bistable fronts in lattices of diusively and advectively coupled cubic and quartic bistable maps, reporting the distribution of both stable states for asymmetric basins of attraction. The main eects of basin symmetry and local nonlinearities are obtained by comparing distributions for cubic local dynamics, with either symmetric or asymmetric basins of attraction, with those obtained for quartic maps with asymmetric basins. In addition, we show how front velocities depend on the local parameter and diusion. c" }, { "paper": "2053142874", "venue": "414566", "year": "2003", "title": "combinational image watermarking in the spatial and frequency domains", "label": [ "200985842", "97970142", "9417928", "150817343", "164112704", "78201319" ], "author": [ "1847986289", "2328556453" ], "reference": [ "79957971", "1571441458", "1975189657", "2004856507", "2093104721", "2099633994", "2102244995", "2116467012", "2118625829", "2129534840", "2130970571", "2139289040", "2164736805" ], "abstract": "in order to provide more watermarks and to minimize the distortion of the watermarked image a novel technique using the combinational spatial and frequency domains is presented in this paper the splitting of the watermark image into two parts respectively for spatial and frequency insertion relies on the user s preference and data importance experimental results provide the comparisons when different sized watermarks are embedded into a grayscale image the proposed combinational image watermarking possesses the following advantages more watermark data can be inserted into the host image so that the capacity is increased the splitting of the watermark into two parts makes the degree of protection double the splitting strategy can be designed even more complicated to be unable to compose furthermore to enhance robustness a random permutation of the watermark is used to defeat the attacks of signal processing such as image crops", "title_raw": "Combinational image watermarking in the spatial and frequency domains", "abstract_raw": "In order to provide more watermarks and to minimize the distortion of the watermarked image, a novel technique using the combinational spatial and frequency domains is presented in this paper. The splitting of the watermark image into two parts, respectively, for spatial and frequency insertion relies on the user's preference and data importance. Experimental results provide the comparisons when different sized watermarks are embedded into a grayscale image. The proposed combinational image watermarking possesses the following advantages. More watermark data can be inserted into the host image, so that the capacity is increased. The splitting of the watermark into two parts makes the degree of protection double. The splitting strategy can be designed even more complicated to be unable to compose. Furthermore, to enhance robustness, a random permutation of the watermark is used to defeat the attacks of signal processing, such as image crops." }, { "paper": "2044357231", "venue": "79244937", "year": "2003", "title": "dynamical rushbrooke s inequality for nonequilibrium relaxation process", "label": [ "137493282", "164154869" ], "author": [ "2075507123", "2138981919" ], "reference": [ "1965392396", "1997553489", "1998307685", "2003541984", "2012536932", "2058070755", "2064755510", "2076978909", "2078837062", "2142994258" ], "abstract": "an inequality for dynamic critical exponents is proved for relaxation processes of arbitrary magnetic systems this is a dynamical extension of rushbrooke s inequality it can be applied to any continuous transition systems with various dynamics the relation is demonstrated on the result of nonequilibrium relaxation analysis of fluctuations applied to the three dimensional ferromagnetic ising model", "title_raw": "Dynamical Rushbrooke's inequality for nonequilibrium relaxation process", "abstract_raw": "An inequality for dynamic critical exponents is proved for relaxation processes of arbitrary magnetic systems. This is a dynamical extension of Rushbrooke's inequality. It can be applied to any continuous-transition systems with various dynamics. The relation is demonstrated on the result of nonequilibrium relaxation analysis of fluctuations applied to the three-dimensional ferromagnetic Ising model." }, { "paper": "2018040883", "venue": "100601982", "year": "2003", "title": "another look at the invariance principle for wave operators", "label": [ "62799726", "134306372", "202444582", "171972299", "72169020", "17539733", "58677928", "142805521" ], "author": [ "2707446274" ], "reference": [ "1507758835", "1518139628", "1575147392", "2074450077", "2146328324", "2320244344", "2333502179", "2493800787" ], "abstract": "we give a new proof of the invariance principle for wave operators based on certain well known properties of calderon commutators this method extends the invariance principle to a larger class of admissible functions in particular admissible functions need not be monotonic on any interval", "title_raw": "Another look at the invariance principle for wave operators", "abstract_raw": "We give a new proof of the invariance principle for wave operators based on certain well-known properties of Calderon commutators. This method extends the invariance principle to a larger class of admissible functions. In particular, admissible functions need not be monotonic on any interval." }, { "paper": "2073057258", "venue": "193920097", "year": "2003", "title": "cyclic group and knapsack facets", "label": [ "17722475", "93063749", "113138325", "94569963", "118615104", "114614502", "20725272", "37307619", "54829058" ], "author": [ "2162815202", "2497645285", "2473930985", "2143956203" ], "reference": [ "1965681691", "1971441351", "2021328726", "2040217797", "2058732533", "2065803772", "2124452917", "2163013568", "2492353954" ], "abstract": "any integer program may be relaxed to a group problem we define the master cyclic group problem and several master knapsack problems show the relationship between the problems and give several classes of facet defining inequalities for each problem as well as a set of mappings that take facets from one type of master polyhedra to another", "title_raw": "Cyclic group and knapsack facets", "abstract_raw": "Any integer program may be relaxed to a group problem. We define the master cyclic group problem and several master knapsack problems, show the relationship between the problems, and give several classes of facet-defining inequalities for each problem, as well as a set of mappings that take facets from one type of master polyhedra to another." }, { "paper": "2088804152", "venue": "24688465", "year": "2003", "title": "effects of time delayed position feedback on a van der pol duffing oscillator", "label": [ "98010927", "74774103", "134306372", "141913781", "94766913", "65244806", "158622935", "132323500", "2781349735" ], "author": [ "2602869400", "2118312630" ], "reference": [ "111342554", "147551077", "1937028141", "1970442252", "1977493849", "1977672565", "1983171862", "1995615137", "1999993760", "2004054074", "2013472564", "2014960375", "2029040258", "2041432995", "2045746056", "2046599636", "2048557046", "2051520843", "2059768622", "2060759080", "2067450357", "2068551947", "2089876099", "2091138695", "2092007890", "2093806670", "2094008907", "2116848336", "2121776649", "2137337872", "2151866124", "2155289136", "2166460790", "2575434776", "3038698521", "3105034532", "3141151088", "3178247984" ], "abstract": "abstract the mechanism for the action of time delay in a non autonomous system is investigated in this paper the original mathematical model under consideration is a van der pol duffing oscillator with excitation a delayed system is obtained by adding both linear and nonlinear time delayed position feedbacks to the original system functional analysis is used to change the delayed system into a functional differential equation fde the time delay is taken as a variable parameter to investigate its effect on the dynamics of the system such as the stability and bifurcation of an equilibrium point phase locked periodic and phase shifting solution period doubling quasi periodic motion and chaos a periodic solution expressed in the closed form with the aid of the center manifold and averaging theorem is found to be in good agreement with that obtained by numerical simulation two routes to chaos are found namely period doubling bifurcation and torus breaking the results obtained in this paper show that time delay may be used as a simple but efficient switch to control motions of a system either from order motion to chaos or from chaotic motion to order for different applications", "title_raw": "Effects of time delayed position feedback on a van der Pol\u2013Duffing oscillator", "abstract_raw": "Abstract The mechanism for the action of time delay in a non-autonomous system is investigated in this paper. The original mathematical model under consideration is a van der Pol\u2013Duffing oscillator with excitation. A delayed system is obtained by adding both linear and nonlinear time delayed position feedbacks to the original system. Functional analysis is used to change the delayed system into a functional differential equation (FDE). The time delay is taken as a variable parameter to investigate its effect on the dynamics of the system such as the stability and bifurcation of an equilibrium point, phase locked (periodic) and phase shifting solution, period-doubling, quasi-periodic motion and chaos. A periodic solution expressed in the closed form with the aid of the center manifold and averaging theorem is found to be in good agreement with that obtained by numerical simulation. Two routes to chaos are found, namely period-doubling bifurcation and torus breaking. The results obtained in this paper show that time delay may be used as a simple but efficient \u201cswitch\u201d to control motions of a system: either from order motion to chaos or from chaotic motion to order for different applications." }, { "paper": "1991977833", "venue": "897311980", "year": "2003", "title": "second order sufficient conditions for time optimal bang bang control", "label": [ "91575142", "78045399", "32834561", "28826006", "75894275", "97985569", "33577790", "175287345", "48753275", "2778265155" ], "author": [ "2162395338", "2303178650" ], "reference": [ "60908348", "121078121", "152963665", "154547091", "165899944", "658381347", "1555521429", "1585453690", "1591476741", "1963801438", "2003563931", "2003862976", "2009133709", "2009964941", "2013815604", "2015895664", "2016984374", "2029038016", "2029677694", "2034793951", "2035542416", "2037612770", "2038636226", "2039653503", "2039796103", "2049592925", "2050434647", "2058977768", "2071252425", "2076020921", "2079127489", "2080820608", "2090451298", "2112206897", "2129190872", "2170756862", "2790417441", "2798500587", "2998629714" ], "abstract": "we study second order sufficient optimality conditions ssc for optimal control problems with control appearing linearly specifically time optimal bang bang controls will be investigated in n p osmolovskii sov phys dokl 33 1988 pp 883 885 theory of higher order conditions in optimal control doctor of sci thesis moscow 1988 in russian russian j math phys 2 1995 pp 487 516 it russian j math phys 5 1997 pp 373 388 proceedings of the conference calculus of variations and optimal control chapman hall crc boca raton fl 2000 pp 198 216 a a milyutin and n p osmolovskii calculus of variations and optimal control transl math monogr 180 ams providence ri 1998 ssc have been developed in terms of the positive definiteness of a quadratic form on a critical cone or subspace no systematical numerical methods for verifying ssc are to be found in these papers in the present paper we study explicit representations of the critical subspace this leads to an easily implementable test for ssc in the case of a bang bang control with one or two switching points in general we show that the quadratic form can be simplified by a transformation that uses a solution to a linear matrix differential equation particular conditions even allow us to convert the quadratic form to perfect squares three numerical examples demonstrate the numerical viability of the proposed tests for ssc", "title_raw": "Second Order Sufficient Conditions for Time-Optimal Bang-Bang Control", "abstract_raw": "We study second order sufficient optimality conditions (SSC) for optimal control problems with control appearing linearly. Specifically, time-optimal bang-bang controls will be investigated. In [N. P. Osmolovskii, Sov. Phys. Dokl., 33 (1988), pp. 883--885; Theory of Higher Order Conditions in Optimal Control, Doctor of Sci. thesis, Moscow, 1988 (in Russian); Russian J. Math. Phys., 2 (1995), pp. 487--516; {\\it Russian J. Math. Phys.}, 5 (1997), pp. 373--388; Proceedings of the Conference \"Calculus of Variations and Optimal Control,\" Chapman & Hall/CRC, Boca Raton, FL, 2000, pp. 198--216; A. A. Milyutin and N. P. Osmolovskii, Calculus of Variations and Optimal Control, Transl. Math. Monogr. 180, AMS, Providence, RI, 1998], SSC have been developed in terms of the positive definiteness of a quadratic form on a critical cone or subspace. No systematical numerical methods for verifying SSC are to be found in these papers. In the present paper, we study explicit representations of the critical subspace. This leads to an easily implementable test for SSC in the case of a bang-bang control with one or two switching points. In general, we show that the quadratic form can be simplified by a transformation that uses a solution to a linear matrix differential equation. Particular conditions even allow us to convert the quadratic form to perfect squares. Three numerical examples demonstrate the numerical viability of the proposed tests for SSC." }, { "paper": "2036375318", "venue": "119757635", "year": "2003", "title": "convergence of the monte carlo expectation maximization for curved exponential families", "label": [ "13153151", "28826006", "19499675", "98763669", "122592724", "95763700", "204693719", "111350023", "105795698" ], "author": [ "2117902178", "2252578488" ], "reference": [ "1596437242", "1975593377", "1975968782", "1995713768", "2000402253", "2047000577", "2048924907", "2053742104", "2059021053", "2063168839", "2072634211", "2081937307", "2085935819", "2088661377", "2090692107", "2091101538", "2099726211", "2103569423", "2119374337", "2316670170", "2333890916", "3015241628" ], "abstract": "the monte carlo expectation maximization mcem algorithm is a versatile tool for inference in incomplete data models especially when used in combination with markov chain monte carlo simulation methods in this contribution the almost sure convergence of the mcem algorithm is established it is shown using uniform versions of ergodic theorems for markov chains that mcem converges under weak conditions on the simulation kernel practical illustrations are presented using a hybrid random walk metropolis hastings sampler and an independence sampler the rate of convergence is studied showing the impact of the simulation schedule on the fluctuation of the parameter estimate at the convergence a novel averaging procedure is then proposed to reduce the simulation variance and increase the rate of convergence", "title_raw": "Convergence of the Monte Carlo expectation maximization for curved exponential families", "abstract_raw": "The Monte Carlo expectation maximization (MCEM) algorithm is a versatile tool for inference in incomplete data models, especially when used in combination with Markov chain Monte Carlo simulation methods. In this contribution, the almost-sure convergence of the MCEM algorithm is established. It is shown, using uniform versions of ergodic theorems for Markov chains, that MCEM converges under weak conditions on the simulation kernel. Practical illustrations are presented, using a hybrid random walk Metropolis Hastings sampler and an independence sampler. The rate of convergence is studied, showing the impact of the simulation schedule on the fluctuation of the parameter estimate at the convergence. A novel averaging procedure is then proposed to reduce the simulation variance and increase the rate of convergence." }, { "paper": "2036735089", "venue": "54953690", "year": "2003", "title": "a new family of noncommutative 2 spheres", "label": [ "68797384", "193645952", "29384965", "202444582" ], "author": [ "2132515551", "2746490994" ], "reference": [ "123439666", "132667770", "1978960972", "1979494073", "2022434788", "2027842332", "2054325866", "2056374630", "2070991255", "2086990318", "2087269521", "2087617277", "2094627522", "2117472940" ], "abstract": "abstract we give new examples of noncommutative manifolds in particular we construct a strong deformation of c s 2 consisting of a family of noncommutative 2 spheres and study their analytic and topological properties", "title_raw": "A new family of noncommutative 2-spheres", "abstract_raw": "Abstract We give new examples of noncommutative manifolds. In particular we construct a \u201cstrong\u201d deformation of C ( S 2 ), consisting of a family of noncommutative 2-spheres, and study their analytic and topological properties." }, { "paper": "2062012545", "venue": "184147796", "year": "2003", "title": "normality of nilpotent varieties in e6", "label": [ "202444582", "205633959", "188440111", "50555996", "2776157432", "206219070", "118615104", "2780990831" ], "author": [ "2149844478" ], "reference": [ "71786656", "998573425", "1499970524", "1955936458", "1971256680", "1988767102", "2002342100", "2056003479", "2058847850", "2059303404", "2065052881", "2066456685", "2147943919", "2151680788", "3021259459", "3104110650" ], "abstract": "abstract we determine which nilpotent orbits in e6 have closures which are normal varieties and which do not at the same time we are able to verify a conjecture in e sommers comm math univ sancti pauli 49 1 2000 101 104 concerning functions on non special nilpotent orbits for e6", "title_raw": "Normality of nilpotent varieties in E6", "abstract_raw": "Abstract We determine which nilpotent orbits in E6 have closures which are normal varieties and which do not. At the same time we are able to verify a conjecture in [E.\u00a0Sommers, Comm. Math. Univ. Sancti Pauli 49 (1) (2000) 101\u2013104] concerning functions on non-special nilpotent orbits for\u00a0E6." }, { "paper": "2045305597", "venue": "11296630", "year": "2003", "title": "development of a new spectral energy formulation based on structural driving point mobilities or impedances", "label": [ "81299745", "126255220", "168110828", "96314035", "134306372", "28719098", "19118579" ], "author": [ "2716532421", "2291240902" ], "reference": [], "abstract": "a new approximate method is proposed here that characterizes harmonic kinetic and potential energies of a system based on the driving point impedance or mobility the proposed complex valued formulation is compared with an existing real valued dynamic energy approximation method j sound vib 217 351 386 247 683 702 the scope of this study is limited to the frequency domain analysis and harmonic excitation is applied to a linear time invariant lti system longitudinal and flexural motions of a finite beam along with some discrete system examples are employed to illustrate the proposed scheme our method is based on an alternate interpretation of the associated driving point transfer functions and it approximates total time averaged harmonic kinetic and potential energies numerical results show that our method yields a more accurate estimate than the existing method further the proposed scheme is found to be insensitive to the driving point measures as consistent results using either impedance or mobility formulations unlike the existing method are predicted our characterization method is suitable for a moderately damped system at low and mid frequencies like the existing method", "title_raw": "Development of a new spectral energy formulation based on structural driving point mobilities or impedances", "abstract_raw": "A new approximate method is proposed here that characterizes harmonic kinetic and potential energies of a system based on the driving point impedance or mobility. The proposed complex\u2010valued formulation is compared with an existing, real\u2010valued dynamic energy approximation method [J. Sound Vib. 217, 351\u2013386; 247, 683\u2013702]. The scope of this study is limited to the frequency domain analysis and harmonic excitation is applied to a linear time\u2010invariant (LTI) system. Longitudinal and flexural motions of a finite beam along with some discrete system examples are employed to illustrate the proposed scheme. Our method is based on an alternate interpretation of the associated driving point transfer functions and it approximates total time\u2010averaged harmonic kinetic and potential energies. Numerical results show that our method yields a more accurate estimate than the existing method. Further, the proposed scheme is found to be insensitive to the driving point measures as consistent results using either impedance or mobility formulations, unlike the existing method, are predicted. Our characterization method is suitable for a moderately damped system at low and mid\u2010frequencies, like the existing method." }, { "paper": "2061508005", "venue": "897311980", "year": "2003", "title": "convergence properties of policy iteration", "label": [ "159886148", "162443888", "73000952", "195956108", "126255220", "115988155" ], "author": [ "2139244961", "2170466311" ], "reference": [ "1536991480", "1542118577", "1567262822", "1571051474", "1987397545", "2014832088", "2028145673", "2042680115", "2059183841", "2069499139", "2074232820", "2077867009", "2127061658", "2148936780", "2341059552", "2341171179", "3122702953" ], "abstract": "this paper analyzes asymptotic convergence properties of policy iteration in a class of stationary infinite horizon markovian decision problems that arise in optimal growth theory these problems have continuous state and control variables and must therefore be discretized in order to compute an approximate solution the discretization may render inapplicable known convergence results for policy iteration such as those of puterman and brumelle math oper res 4 1979 pp 60 69 under certain regularity conditions we prove that for piecewise linear interpolation policy iteration converges quadratically also under more general conditions we establish that convergence is superlinear we show how the constants involved in these convergence orders depend on the grid size of the discretization these theoretical results are illustrated with numerical experiments that compare the performance of policy iteration and the method of successive approximations", "title_raw": "Convergence Properties of Policy Iteration", "abstract_raw": "This paper analyzes asymptotic convergence properties of policy iteration in a class of stationary, infinite-horizon Markovian decision problems that arise in optimal growth theory. These problems have continuous state and control variables and must therefore be discretized in order to compute an approximate solution. The discretization may render inapplicable known convergence results for policy iteration such as those of Puterman and Brumelle [Math. Oper. Res., 4 (1979), pp. 60--69]. Under certain regularity conditions, we prove that for piecewise linear interpolation, policy iteration converges quadratically. Also, under more general conditions we establish that convergence is superlinear. We show how the constants involved in these convergence orders depend on the grid size of the discretization. These theoretical results are illustrated with numerical experiments that compare the performance of policy iteration and the method of successive approximations." }, { "paper": "2003307173", "venue": "159544283", "year": "2003", "title": "minimal volume projections of cubes and totally unimodular matrices", "label": [ "121208196", "125565743", "143542225", "201958917", "57691317", "12362212", "114614502" ], "author": [ "2325990475" ], "reference": [ "158064062", "650185772", "1571966798", "1963547452", "1978075832", "1984047395", "2009847325", "2016511349", "2023023714", "2041633391", "2044955816", "2075723780", "2080973177", "2084458926", "2092796881", "2095075176", "2095426599", "2330548796" ], "abstract": "abstract among all linear projections onto a given linear subspace l in r n we select those that minimize the volume of the image of the cube x xi 1 the paper is devoted to a description of the shape of such images of the cube the shape is characterized in terms of zonotopes spanned by scalar multiples of rows of totally unimodular matrices", "title_raw": "Minimal-volume projections of cubes and totally unimodular matrices", "abstract_raw": "Abstract Among all linear projections onto a given linear subspace L in R n we select those that minimize the volume of the image of the cube {x:|xi|\u2a7d1}. The paper is devoted to a description of the shape of such images of the cube. The shape is characterized in terms of zonotopes spanned by scalar multiples of rows of totally unimodular matrices." }, { "paper": "2023952335", "venue": "73535193", "year": "2003", "title": "an optimal maintenance time of automatic monitoring system of atm with two kinds of breakdowns", "label": [ "2776671899" ], "author": [ "2131979255", "2311728347", "2601533639", "2609430326" ], "reference": [ "2331898814", "2521495764" ], "abstract": "abstract all automatic teller machines atms in a bank operate unmanned on weekends and holidays and an automatic monitoring system continuously watches the operation of atms through the telecommunication network there are two kinds of troubles according to the installed places of atms one is the trouble which occurs inside the branch of a bank where atms operate manned except on weekends and holidays and the other is the one which occurs outside the branch where atms always operate unmanned two kinds of breakdowns are introduced and the expected cost for an unmanned operation period is obtained a maintenance policy which minimizes the expected cost is analytically derived finally a numerical example is given and some useful discussions are made", "title_raw": "An optimal maintenance time of automatic monitoring system of ATM with two kinds of breakdowns", "abstract_raw": "Abstract All automatic teller machines (ATMs) in a bank operate unmanned on weekends and holidays, and an automatic monitoring system continuously watches the operation of ATMs through the telecommunication network. There are two kinds of troubles according to the installed places of ATMs. One is the trouble which occurs inside the branch of a bank where ATMs operate manned except on weekends and holidays, and the other is the one which occurs outside the branch where ATMs always operate unmanned. Two kinds of breakdowns are introduced, and the expected cost for an unmanned operation period is obtained. A maintenance policy which minimizes the expected cost is analytically derived. Finally, a numerical example is given and some useful discussions are made." }, { "paper": "2059509202", "venue": "186480540", "year": "2003", "title": "a taxonomy of latent structure assumptions for probability matrix decomposition models", "label": [ "132480984", "70727504", "149782125", "65965080", "42355184", "107673813", "158424031", "28826006", "51167844" ], "author": [ "261169955", "562456602", "314743331" ], "reference": [ "1494853941", "1516900628", "1990027096", "1992705334", "1995945562", "1998163930", "2000676273", "2005587766", "2019486793", "2020999234", "2040011853", "2045656233", "2049633694", "2054855387", "2058815839", "2077428996", "2083875149", "2086372585", "2087101057", "2100320591", "2102862543", "2104920135", "2115881827", "2137458905", "2140430901", "2142635246", "2148534890", "2152977846", "2163790854", "2168175751", "2168934042", "2280417369", "2333269907", "2476280707", "2776428846", "3021510377", "3129711340" ], "abstract": "a taxonomy of latent structure assumptions lsas for probability matrix decomposition pmd models is proposed which includes the original pmd model maris de boeck van mechelen 1996 as well as a three way extension of the multiple classification latent class model maris 1999 it is shown that pmd models involving different lsas are actually restricted latent class models with latent variables that depend on some external variables for parameter estimation a combined approach is proposed that uses both a mode finding algorithm em and a sampling based approach gibbs sampling a simulation study is conducted to investigate the extent to which information criteria specific model checks and checks for global goodness of fit may help to specify the basic assumptions of the different pmd models finally an application is described with models involving different latent structure assumptions for data on hostile behavior in frustrating situations", "title_raw": "A Taxonomy of Latent Structure Assumptions for Probability Matrix Decomposition Models.", "abstract_raw": "A taxonomy of latent structure assumptions (LSAs) for probability matrix decomposition (PMD) models is proposed which includes the original PMD model (Maris, De Boeck, & Van Mechelen, 1996) as well as a three-way extension of the multiple classification latent class model (Maris, 1999). It is shown that PMD models involving different LSAs are actually restricted latent class models with latent variables that depend on some external variables. For parameter estimation a combined approach is proposed that uses both a mode-finding algorithm (EM) and a sampling-based approach (Gibbs sampling). A simulation study is conducted to investigate the extent to which information criteria, specific model checks, and checks for global goodness of fit may help to specify the basic assumptions of the different PMD models. Finally, an application is described with models involving different latent structure assumptions for data on hostile behavior in frustrating situations." }, { "paper": "2112430897", "venue": "90727058", "year": "2003", "title": "an operational and denotational approach to non context freeness", "label": [ "146072743", "101056560", "2778583254" ], "author": [ "2394683075", "2171596754", "192692894", "263228130" ], "reference": [ "1489923637", "1499263147", "1516275832", "1527664624", "1533614358", "1560050980", "1563892973", "1581551674", "1970629906", "1983682288", "2025087469", "2035020702", "2038141781", "2038612549", "2050407768", "2055869448", "2073663206", "2077359248", "2078866770", "2086959507", "2089385274", "2089928579", "2124680305", "2126137665", "2128517960", "2131742729", "2136280457", "2151789568", "2164548001", "2538148032", "2798579874", "2911295106", "2913184320", "3037477934", "3184585588" ], "abstract": "the main result of this paper is a description of linguistically motivated non context free phenomena equivalently in terms of regular tree languages to express the recursive properties and both a logical and an operational perspective to establish the intended linguistic relations the result is exemplified with a particular non context free phenomenon namely cross serial dependencies in natural languages such as swiss german or dutch the logical description is specified in terms of binary monadic second order mso formulas and the operational description is achieved by means of a linear and non deleting macro tree transducer besides giving a grammatical presentation for the regular tree language we shall also specify an implementation in the form of a finite state tree automaton to emphasize the effectivity of our approach", "title_raw": "An operational and denotational approach to non-context-freeness", "abstract_raw": "The main result of this paper is a description of linguistically motivated non-context-free phenomena equivalently in terms of regular tree languages (to express the recursive properties) and both a logical and an operational perspective (to establish the intended linguistic relations). The result is exemplified with a particular non-context-free phenomenon, namely cross-serial dependencies in natural languages such as Swiss German or Dutch. The logical description is specified in terms of binary monadic second-order (MSO) formulas and the operational description is achieved by means of a linear and non-deleting macro tree transducer. Besides giving a grammatical presentation for the regular tree language we shall also specify an implementation in the form of a finite-state (tree) automaton to emphasize the effectivity of our approach." }, { "paper": "2020191956", "venue": "50372074", "year": "2003", "title": "on performance of quadrant recursive spatial orders", "label": [ "33577790", "2781142347", "78045399", "11413529", "2775917825", "57273362", "62799726", "93779851" ], "author": [ "2647222359" ], "reference": [ "1779898155", "1866851431", "1977041721", "1994669411", "1996342882", "2015190123", "2053717006", "2063025422", "2070826577", "2072605585", "2072994011", "2101320768" ], "abstract": "the performance of many computational paradigms can be considerably improved by using appropriate quadrant recursive spatial orders the hilbert order has received intensive interest in literature its encoding and decoding processes however are time consuming it is desired to design new spatial orders that are competitive with the hilbert order in performance yet require simpler encoding and decoding procedures in this paper several new quadrant recursive spatial orders are proposed of them the q4 order behaves best and its algorithm is more efficient than the corresponding algorithm of the hilbert order", "title_raw": "On performance of quadrant-recursive spatial orders", "abstract_raw": "The performance of many computational paradigms can be considerably improved by using appropriate quadrant-recursive spatial orders. The Hilbert order has received intensive interest in literature. Its encoding and decoding processes, however, are time-consuming. It is desired to design new spatial orders that are competitive with the Hilbert order in performance yet require simpler encoding and decoding procedures. In this paper, several new quadrant-recursive spatial orders are proposed. Of them the Q4 order behaves best, and its algorithm is more efficient than the corresponding algorithm of the Hilbert order." }, { "paper": "2001852712", "venue": "70695507", "year": "2003", "title": "the nonlinear reflective function of differential system", "label": [ "36625806", "2778925954", "2776548862", "134306372", "158622935" ], "author": [ "2686442434", "2514939084" ], "reference": [ "2089199754", "2350924661", "3141151088" ], "abstract": "this article establishes the necessary and sufficient conditions of existence of nonlinear reflective function of the nonlinear differential system the results are applied to the discussion of the existence and stability of periodic solution of these system", "title_raw": "The nonlinear reflective function of differential system", "abstract_raw": "This article establishes the necessary and sufficient conditions of existence of nonlinear reflective function of the nonlinear differential system. The results are applied to the discussion of the existence and stability of periodic solution of these system." }, { "paper": "2075094474", "venue": "24688465", "year": "2003", "title": "two bump solutions of amari type models of neuronal pattern formation", "label": [ "134306372", "36503486", "36625806", "7980502", "15964574", "58442840", "70985411" ], "author": [ "1684921057", "2566445749" ], "reference": [ "1604195904", "1607646754", "1821468701", "1907121963", "1974584941", "1981225043", "1983315303", "1989512479", "1990958528", "1992476998", "2024513780", "2025790988", "2029374903", "2054371931", "2082156345", "2089858428", "2101094100", "2103876354", "2117311037", "2117523278", "2121881348", "2129207384", "2134831221", "2146590419", "2147283646", "2147634215", "2155815687", "2160229024", "2165162620", "2165443127", "2167809052", "2286812955" ], "abstract": "abstract we study a partial integro differential equation defined on a spatially extended domain that arises in the modeling of pattern formation in neuronal networks for a one dimensional domain we develop criteria for the existence and stability of equal width 2 bump solutions under the assumption that the firing rate function is the heaviside function we apply these criteria to an example for which the connectivity is of lateral inhibition type i e the coupling function has one positive zero and find that families of 2 bump solutions exist but none of the solutions are stable extensive numerical searches suggest that this is true for all coupling functions of this form however for a large class of coupling functions which have three positive zeros we find the coexistence of both stable and unstable 2 bump solutions we also extend our investigation to two spatial dimensions and give numerical evidence for the coexistence of 1 bump and 2 bump solutions our results imply that lateral inhibition type coupling is not sufficient to produce stable patterns that are more complex than single isolated patches of high activity", "title_raw": "Two-bump solutions of Amari-type models of neuronal pattern formation", "abstract_raw": "Abstract We study a partial integro-differential equation defined on a spatially extended domain that arises in the modeling of pattern formation in neuronal networks. For a one-dimensional domain we develop criteria for the existence and stability of equal-width \u201c2-bump\u201d solutions under the assumption that the firing rate function is the Heaviside function. We apply these criteria to an example for which the connectivity is of lateral inhibition type (i.e. the coupling function has one positive zero) and find that families of 2-bump solutions exist, but none of the solutions are stable. Extensive numerical searches suggest that this is true for all coupling functions of this form. However, for a large class of coupling functions which have three positive zeros, we find the coexistence of both stable and unstable 2-bump solutions. We also extend our investigation to two spatial dimensions and give numerical evidence for the coexistence of 1-bump and 2-bump solutions. Our results imply that lateral inhibition type coupling is not sufficient to produce stable patterns that are more complex than single isolated patches of high activity." }, { "paper": "1977022698", "venue": "79244937", "year": "2003", "title": "langevin equation method for the rotational brownian motion and orientational relaxation in liquids ii symmetrical top molecules", "label": [ "130603088", "69123182", "2777801075", "51955184", "112401455" ], "author": [ "2009808607", "2056858689", "2892864184" ], "reference": [ "604828256", "620453479", "1531915944", "1579533523", "1630398222", "1970058924", "1984252632", "1994657187", "2001378866", "2007495408", "2009619600", "2015775516", "2029470981", "2030125930", "2041449136", "2042509010", "2050491432", "2053644190", "2075978916", "2086890218", "2092006511", "2114849571", "2120062331", "2985150959", "3021966610" ], "abstract": "at heory of orientational relaxation for the inertial rotational brownian motion of a symmetric top molecule is developed using the langevin equation rather than the fokker planck equation the infinite hierarchy of differentialrecurrence relations for the orientationa lc orrelation functions for the relaxation behaviour is derived by averaging the corresponding euler langevin equations the solution of this hierarchy is obtained using matrix continued fractions allowing the calculation of the correlation times and the spectra of the orientational correlation functions for typical values of the model parameters", "title_raw": "Langevin equation method for the rotational Brownian motion and orientational relaxation in liquids: II. Symmetrical top molecules", "abstract_raw": "At heory of orientational relaxation for the inertial rotational Brownian motion of a symmetric top molecule is developed using the Langevin equation rather than the Fokker\u2013Planck equation. The infinite hierarchy of differentialrecurrence relations for the orientationa lc orrelation functions for the relaxation behaviour is derived by averaging the corresponding Euler\u2013Langevin equations. The solution of this hierarchy is obtained using matrix continued fractions allowing the calculation of the correlation times and the spectra of the orientational correlation functions for typical values of the model parameters." }, { "paper": "2049658395", "venue": "79244937", "year": "2003", "title": "non polynomial conservation law densities generated by the symmetry operators in some hydrodynamical models", "label": [ "39927690", "3445786", "134306372", "182408441" ], "author": [ "2288784883", "329906025" ], "reference": [ "98422044", "218040590", "1971506273", "1985107412", "2000648644", "2017681657", "2020654836", "2043345822", "2068638213", "2091520923", "2154435402", "2155804277" ], "abstract": "a new extra series of conserved densities for the polytropic gas model and nonlinear elasticity equation is obtained without any reference to the recursion operator or to the lax operator formalism our method is based on the utilization of the symmetry operators and allows us to obtain the densities of arbitrary homogeneity dimensions the non polynomial densities with logarithmic behaviour are presented as an example special attention is paid to the singular case 1 for which we have found new non homogeneous solutions expressed in terms of the elementary functions", "title_raw": "Non polynomial conservation law densities generated by the symmetry operators in some hydrodynamical models", "abstract_raw": "A new extra series of conserved densities for the polytropic gas model and nonlinear elasticity equation is obtained without any reference to the recursion operator or to the Lax operator formalism. Our method is based on the utilization of the symmetry operators and allows us to obtain the densities of arbitrary homogeneity dimensions. The non-polynomial densities with logarithmic behaviour are presented as an example. Special attention is paid to the singular case (\u03b3 = 1) for which we have found new non-homogeneous solutions expressed in terms of the elementary functions." }, { "paper": "2119517580", "venue": "100601982", "year": "2003", "title": "annealed feynman kac models", "label": [ "197096303", "98763669", "2776548862", "207405024", "178042281", "134306372", "163836022", "65574998" ], "author": [ "2602074463", "2597444760" ], "reference": [ "3294551", "48895105", "144490507", "1973632636", "1975736346", "1983774541", "2032542768", "2059120410", "2059607173", "2134099872" ], "abstract": "we analyze the concentration properties of an annealed feynman kac model in distribution space we characterize the concentration regions in terms of a variational problem involving a competition between the potential function and the mutation kernel when the temperature parameter is evanescent with time and under appropriate hypotheses the probability mass tends to concentrate on regions with minimal potential values we give a precise description of these areas using non linear semi group contractions and large deviation techniques we illustrate this annealed model with two physical interpretations related respectively to markov motions in absorbing media and interacting measure valued processes", "title_raw": "Annealed Feynman-Kac Models", "abstract_raw": "We analyze the concentration properties of an annealed Feynman-Kac model in distribution space. We characterize the concentration regions in terms of a variational problem involving a competition between the potential function and the mutation kernel. When the temperature parameter is evanescent with time and under appropriate hypotheses, the probability mass tends to concentrate on regions with minimal potential values. We give a precise description of these areas using non-linear semi-group contractions and large deviation techniques. We illustrate this annealed model with two physical interpretations related respectively to Markov motions in absorbing media and interacting measure valued processes." }, { "paper": "2086763406", "venue": "90727058", "year": "2003", "title": "formal logics of discovery and hypothesis formation by machine", "label": [ "158988961", "48103436" ], "author": [ "2140840629", "2309592963" ], "reference": [ "20184837", "83331209", "102994965", "133626899", "188257967", "251225716", "388277746", "426455260", "851094940", "1011699258", "1482472192", "1483175286", "1484413656", "1491558441", "1495333347", "1504039233", "1506285740", "1523293200", "1538285186", "1544139368", "1553696291", "1565693361", "1569019206", "1588014015", "1601529450", "1602271975", "1823694525", "2001918017", "2007504547", "2018673346", "2020350228", "2029922408", "2038358984", "2044352494", "2046889985", "2058392968", "2059136111", "2060050130", "2067317532", "2076294329", "2100176599", "2103323125", "2104017387", "2104731482", "2110182592", "2130767065", "2131362887", "2131523006", "2138426500", "2143631149", "2149090541", "2160340100", "2319794630", "2500554657", "2524643995", "2801469778", "2913793034", "3081342109", "3148519537" ], "abstract": "the following are the aims of the paper 1 to call the attention of the community of discovery science ds to certain existing formal systems for ds developed in prague in the 1960s through the 1980s suitable for ds and unfortunately largely unknown 2 to illustrate the use of the calculi in question by the example of the guha method of hypothesis generation by computer subjecting this method to a critical evaluation in the context of contemporary data mining 3 to stress the importance of fuzzy logic for ds and to present the state of mathematical foundations of fuzzy logic 4 finally to present a running research program of developing calculi of symbolic fuzzy logic for ds and for a fuzzy guha method", "title_raw": "Formal logics of discovery and hypothesis formation by machine", "abstract_raw": "The following are the aims of the paper: (1) To call the attention of the community of Discovery Science (DS) to certain existing formal systems for DS developed in Prague in the 1960s through the 1980s suitable for DS and unfortunately largely unknown. (2) To illustrate the use of the calculi in question by the example of the GUHA method of hypothesis generation by computer, subjecting this method to a critical evaluation in the context of contemporary data mining. (3) To stress the importance of fuzzy logic for DS and to present the state of mathematical foundations of fuzzy logic. (4) Finally, to present a running research program of developing calculi of symbolic fuzzy logic for DS and for a fuzzy GUHA method." }, { "paper": "1997178390", "venue": "62401924", "year": "2003", "title": "analyzing medical data using s plus", "label": [ "105795698" ], "author": [ "2162184453" ], "reference": [], "abstract": "", "title_raw": "Analyzing Medical Data Using S-PLUS", "abstract_raw": "" }, { "paper": "2138263830", "venue": "4502562", "year": "2003", "title": "new quasi twisted degenerate ternary linear codes", "label": [ "114614502", "64452783", "118615104", "78944582", "108906091", "157125643", "78065487", "2400350", "73150493", "3427991" ], "author": [ "316696329", "2107179773" ], "reference": [ "1587885095", "1594652978", "1606480398", "1974822016", "2005457258", "2065370326", "2106513168", "2118897868", "2122552097", "2125905426", "2165120694", "2165464723" ], "abstract": "twenty six ternary linear quasi twisted codes improving the best known lower bounds on minimum distance are constructed", "title_raw": "New quasi-twisted degenerate ternary linear codes", "abstract_raw": "Twenty six ternary linear quasi-twisted codes improving the best known lower bounds on minimum distance are constructed." }, { "paper": "2963360599", "venue": "201849197", "year": "2003", "title": "spectral methods for the non cut off boltzmann equation and numerical grazing collision limit", "label": [ "93779851", "134306372", "203024314", "17456955", "48753275", "151201525", "98234853", "23463724" ], "author": [ "67332525", "1556463266", "2073316740" ], "reference": [ "1537383557", "1538135945", "1600015713", "1912930600", "1974007886", "2015135997", "2015470839", "2026603533", "2043953726", "2044074929", "2051358691", "2062484908", "2069319053", "2077363599", "2085927003", "2087733383", "2106218922", "2131778920", "2144869315" ], "abstract": "in this paper we study the numerical passage from the spatially homogeneous boltzmann equation without cut off to the fokker planck landau equation in the so called grazing collision limit to this aim we derive a fourier spectral method for the non cut off boltzmann equation in the spirit of 21 23 we show that the kernel modes that define the spectral method have the correct grazing collision limit providing a consistent spectral method for the limiting fokker planck landau equation in particular for small values of the scattering angle we derive an approximate formula for the kernel modes of the non cut off boltzmann equation which similarly to the fokker planck landau case can be computed with a fast algorithm the uniform spectral accuracy of the method with respect to the grazing collision parameter is also proved", "title_raw": "Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit", "abstract_raw": "In this paper we study the numerical passage from the spatially homogeneous Boltzmann equation without cut-off to the Fokker-Planck-Landau equation in the so-called grazing collision limit. To this aim we derive a Fourier spectral method for the non cut-off Boltzmann equation in the spirit of [21,23]. We show that the kernel modes that define the spectral method have the correct grazing collision limit providing a consistent spectral method for the limiting Fokker-Planck-Landau equation. In particular, for small values of the scattering angle, we derive an approximate formula for the kernel modes of the non cut-off Boltzmann equation which, similarly to the Fokker-Planck-Landau case, can be computed with a fast algorithm. The uniform spectral accuracy of the method with respect to the grazing collision parameter is also proved." }, { "paper": "2072501243", "venue": "159544283", "year": "2003", "title": "iteration of linear p norm nonexpansive maps", "label": [ "46581059", "140479938", "147849574", "118615104", "4071166", "37724570", "114460028" ], "author": [ "2005597973", "329930336" ], "reference": [ "113776117", "1499132004", "1517932056", "1545748428", "1972762769", "1982641280", "1988048475", "2014693200", "2025453278", "2026117522", "2061910175", "2077723574", "2078414587", "2165469059", "2504930394" ], "abstract": "abstract in this paper we will examine the asymptotic behaviour of the iterates of linear maps a r n r n that are nonexpansive contractive with respect to a classical p norm on r n as a main result it will be shown that if 1 p and p 2 there exists an integer q 1 such that the sequence akqx k is convergent for each x r n moreover the integer q is the order or twice the order of a permutation on n letters", "title_raw": "Iteration of linear p-norm nonexpansive maps", "abstract_raw": "Abstract In this paper we will examine the asymptotic behaviour of the iterates of linear maps A: R n \u2192 R n that are nonexpansive (contractive) with respect to a classical p-norm on R n . As a main result it will be shown that if 1\u2a7dp\u2a7d\u221e and p\u22602, there exists an integer q\u2a7e1 such that the sequence (Akqx)k is convergent for each x\u2208 R n . Moreover the integer q is the order, or twice the order, of a permutation on n letters." }, { "paper": "2015495633", "venue": "73535193", "year": "2003", "title": "new quadrature formulas based on the zeros of the chebyshev polynomials of the second kind", "label": [ "28826006", "134306372", "129785596" ], "author": [ "2654889918", "2700060209" ], "reference": [ "1985271888", "2000726115", "2055983109", "2089584778", "2093736357" ], "abstract": "abstract the aim of this work is to construct a new quadrature formula based on the divided differences of the integrand at points 1 1 and the zeros of the nth chebyshev polynomial of the second kind the interesting thing is that this quadrature rule is closely related to the well known gauss turan quadrature formula and includes a recent result obtained by a k varma and e landau as a special case", "title_raw": "New quadrature formulas based on the zeros of the chebyshev polynomials of the second kind", "abstract_raw": "Abstract The aim of this work is to construct a new quadrature formula based on the divided differences of the integrand at points -1, 1 and the zeros of the nth Chebyshev polynomial of the second kind. The interesting thing is that this quadrature rule is closely related to the well-known Gauss-Turan quadrature formula and includes a recent result obtained by A.K. Varma and E. Landau as a special case." }, { "paper": "1981800671", "venue": "184147796", "year": "2003", "title": "linear characters of sylow subgroups", "label": [ "124535231", "202444582" ], "author": [ "2162686237" ], "reference": [ "1485454318", "1589032548", "1840046897", "2015917383", "2017248534", "2105308767", "2171979508" ], "abstract": "", "title_raw": "Linear characters of Sylow subgroups", "abstract_raw": "" }, { "paper": "1988154368", "venue": "3006183880", "year": "2003", "title": "oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres", "label": [ "124961601", "165160513", "134306372" ], "author": [ "1281975071", "1996043570", "2043469022" ], "reference": [ "585375741", "589164817", "1547249381", "1567216160", "1604843261", "1670562608", "1970557658", "1977119795", "1977349391", "1980262662", "1983646936", "1986998271", "1987295709", "1987780708", "1995374819", "2016163205", "2016999605", "2020910766", "2023182146", "2023992236", "2025099595", "2025288873", "2025794817", "2026508393", "2027562557", "2031003636", "2032231305", "2032965004", "2033465062", "2035524378", "2038777987", "2039911379", "2039954719", "2045827092", "2045950703", "2055533473", "2060248549", "2068769538", "2072281189", "2072571321", "2077463062", "2078465269", "2080922218", "2081338783", "2085921598", "2088676195", "2095157275", "2109870155", "2126273476", "2147732031", "2152318224", "2154912613", "2156040037", "2163809506", "2165121608", "2169534113", "2280932398", "2990566262", "3003269640", "3020833317" ], "abstract": "this paper presents analysis of electromagnetic and elastodynamic waves propagating through a doubly periodic array of cylindrical channels in oblique incidence a new method based on a multipole scattering approach has been proposed to reduce these spectral problems for partial differential equations to certain algebraic problems of the rayleigh type we obtain a formulation in terms of an eigenvalue problem that enables us to construct the high order dispersion curves and to study both photonic and phononic band gap structures in oblique incidence we also address the question of a singular perturbation induced by the conical incidence and discuss some effective properties for ferromagnetic photonic crystal fibres in the long wavelength limit", "title_raw": "Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres", "abstract_raw": "This paper presents analysis of electromagnetic and elastodynamic waves propagating through a doubly periodic array of cylindrical channels in oblique incidence. A new method, based on a multipole scattering approach, has been proposed to reduce these spectral problems for partial differential equations to certain algebraic problems of the Rayleigh type. We obtain a formulation in terms of an eigenvalue problem that enables us to construct the high\u2010order dispersion curves and to study both photonic and phononic band\u2010gap structures in oblique incidence. We also address the question of a singular perturbation induced by the conical incidence and discuss some effective properties for ferromagnetic photonic crystal fibres in the long\u2010wavelength limit." }, { "paper": "2081022536", "venue": "151579836", "year": "2003", "title": "fractional integrals on weighted hardy spaces", "label": [ "154249771", "134306372", "114614502", "42178598", "142730499", "91558832", "2779844624" ], "author": [ "2600648566", "2758297671", "2676753950" ], "reference": [ "226813730", "1548295926", "1963839083", "2009614184", "2027118093", "2029411960", "2031881048", "2082824507", "2906900479" ], "abstract": "abstract in this paper applying the atomic decomposition and molecular characterization of the real weighted hardy spaces h w p r n we give the weighted boundedness of the homogeneous fractional integral operator t from h w p p r n to l q w q r n and from h w p p r n to h w q q r n", "title_raw": "Fractional integrals on weighted Hardy spaces", "abstract_raw": "Abstract In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces H w p ( R n ) , we give the weighted boundedness of the homogeneous fractional integral operator T \u03a9,\u03b1 from H w p p ( R n ) to L q w q ( R n ) , and from H w p p ( R n ) to\u00a0 H w q q ( R n ) ." }, { "paper": "2110178628", "venue": "50372074", "year": "2003", "title": "spatio temporal delays in a nutrient plankton model on a finite domain linear stability and bifurcations", "label": [ "28826006", "93779851", "36625806", "134306372", "2781349735", "43466630", "121231716", "12310481", "36503486" ], "author": [ "915618376", "2131873881" ], "reference": [ "177239957", "1967962353", "1972878228", "1982794816", "1985957702", "1994831429", "1996670866", "1997602286", "2015899817", "2017402613", "2020848924", "2026793810", "2033156981", "2040269192", "2043610145", "2045145523", "2086065768", "2129992593", "2149013205", "2314060633" ], "abstract": "the issue of how to incorporate time delays into a mathematical model in which individuals are moving around requires careful consideration any time delay term must also involve a weighted spatial averaging to account for movement of individuals during the time delay period most of the current literature on this subject is on reaction diffusion equations and concentrates on the simplest case when the spatial domain is infinite in this paper we consider what changes arise when the domain is finite spatial averaging kernels are computed explicitly for the case of a finite one dimensional domain to illustrate the ideas we concentrate on a diffusive nutrient plankton model the model is analysed in terms of the local stability of the steady states and bifurcations the results of some numerical simulations are also presented", "title_raw": "Spatio-temporal delays in a nutrient-plankton model on a finite domain: linear stability and bifurcations", "abstract_raw": "The issue of how to incorporate time-delays into a mathematical model in which individuals are moving around requires careful consideration. Any time-delay term must also involve a weighted spatial averaging to account for movement of individuals during the time-delay period. Most of the current literature on this subject is on reaction-diffusion equations and concentrates on the simplest case when the spatial domain is infinite. In this paper we consider what changes arise when the domain is finite. Spatial averaging kernels are computed explicitly for the case of a finite, one-dimensional domain. To illustrate the ideas we concentrate on a diffusive nutrient-plankton model. The model is analysed in terms of the local stability of the steady states and bifurcations. The results of some numerical simulations are also presented." }, { "paper": "2076592716", "venue": "50372074", "year": "2003", "title": "short communication modification of the application of a contraction mapping method on a class of fractional differential equation", "label": [ "59947806", "134306372", "55524764", "78045399", "155940", "206929604", "132954091", "28826006", "153635880", "154249771" ], "author": [ "1910443928" ], "reference": [ "1979359316", "2009529007", "2122240177", "3205322718" ], "abstract": "this letter discusses an application of a modified contraction mapping method to the proof of a global existence and uniqueness theorem of a cauchy problem for some version of differential equation of fractional order in banach space an essential condition in such applications which have previously been considered in many literatures will be dispensed with", "title_raw": "Short communication: Modification of the application of a contraction mapping method on a class of fractional differential equation", "abstract_raw": "This letter discusses an application of a modified contraction mapping method to the proof of a global existence and uniqueness theorem of a Cauchy problem for some version of differential equation of fractional order in Banach space. An essential condition in such applications which have previously been considered in many literatures will be dispensed with." }, { "paper": "1977070092", "venue": "196139623", "year": "2003", "title": "on the undecidability of probabilistic planning and related stochastic optimization problems", "label": [ "192034797", "179799912", "17098449", "126255220", "152062344", "106189395", "49937458", "194387892" ], "author": [ "2173121741", "2183529176", "227075345" ], "reference": [ "37272079", "79086417", "124331494", "177913229", "180325379", "1482136514", "1485904603", "1493875011", "1503991720", "1515891729", "1521651075", "1537561239", "1542709260", "1545148916", "1563965851", "1564812679", "1567249951", "1575633987", "1619458041", "1640774615", "1679945064", "1947071223", "1966347268", "1970088948", "1980251859", "1981691276", "1994945819", "2002089154", "2011418219", "2032100464", "2034725503", "2044375425", "2054726834", "2055298790", "2061146398", "2061504687", "2065087844", "2068290327", "2096630263", "2113789941", "2123651102", "2148957455", "2155640779", "2161979183", "2168024904", "2171324542", "2171798962", "2334782222", "2337392266", "2621635745", "2798988860" ], "abstract": "automated planning the problem of how an agent achieves a goal given a repertoire of actions is one of the foundational and most widely studied problems in the ai literature the original formulation of the problem makes strong assumptions regarding the agent s knowledge and control over the world namely that its information is complete and correct and that the results of its actions are deterministic and known recent research in planning under uncertainty has endeavored te relax these assumptions providing formal and computation models wherein the agent has incomplete or noisy information about the world and has noisy sensors and effectors this research has mainly taken one of two approaches extend the classical planning paradigm to a semantics that admits uncertainty or adopt another framework for approaching the problem most commonly the markov decision process mdp model this paper presents a complexity analysis of planning under uncertainty it begins with the probabilistic classical planning problem showing that problem to be formally undecidable this fundamental result is then applied to a broad class of stochastic optimization problems in brief any problem statement where the agent a operates over an infinite or indefinite time horizon and b has available only probabilistic information about the system s state undecidability is established for policy existence problems for partially observable infinite horizon markov decision processes under discounted and undiscounted total reward models average reward models and state avoidance models the results also apply to corresponding approximation problems with undiscounted objective functions the paper answers a significant open question raised by papadimitriou and tsitsiklis math oper res 12 3 1987 441 450 about the complexity of infinite horizon pomdps", "title_raw": "On the undecidability of probabilistic planning and related stochastic optimization problems", "abstract_raw": "Automated planning, the problem of how an agent achieves a goal given a repertoire of actions, is one of the foundational and most widely studied problems in the AI literature. The original formulation of the problem makes strong assumptions regarding the agent's knowledge and control over the world, namely that its information is complete and correct, and that the results of its actions are deterministic and known. Recent research in planning under uncertainty has endeavored te relax these assumptions, providing formal and computation models wherein the agent has incomplete or noisy information about the world and has noisy sensors and effectors. This research has mainly taken one of two approaches: extend the classical planning paradigm to a semantics that admits uncertainty, or adopt another framework for approaching the problem, most commonly the Markov Decision Process (MDP) model. This paper presents a complexity analysis of planning under uncertainty. It begins with the \"probabilistic classical planning\" problem, showing that problem to be formally undecidable. This fundamental result is then applied to a broad class of stochastic optimization problems, in brief any problem statement where the agent (a) operates over an infinite or indefinite time horizon, and (b) has available only probabilistic information about the system's state. Undecidability is established for policy-existence problems for partially observable infinite-horizon Markov decision processes under discounted and undiscounted total reward models, average-reward models, and state-avoidance models. The results also apply to corresponding approximation problems with undiscounted objective functions. The paper answers a significant open question raised by Papadimitriou and Tsitsiklis [Math. Oper. Res. 12 (3) (1987) 441-450] about the complexity of infinite horizon POMDPs." }, { "paper": "1997027584", "venue": "200871675", "year": "2003", "title": "non autonomous systems asymptotic behaviour and weak invariance principles", "label": [ "34388435", "51544822", "147504518", "186219872", "158622935", "163105828", "84629840", "134306372", "70834904" ], "author": [ "1875522714", "2116042285" ], "reference": [ "1495517639", "1510122527", "1527177198", "1543651123", "1551360398", "1592648094", "1963835453", "1975722775", "2042595735", "2077219618", "2137984751", "2143474485", "2151136609", "2151731864", "2950469301", "2978861416", "3141151088" ], "abstract": "abstract results pertaining to asymptotic behaviour of solutions of non autonomous ordinary differential equations with locally integrably bounded right hand sides are presented ramifications for weakly asymptotically autonomous systems and adaptively controlled systems are highlighted", "title_raw": "Non-autonomous systems: asymptotic behaviour and weak invariance principles", "abstract_raw": "Abstract Results pertaining to asymptotic behaviour of solutions of non-autonomous ordinary differential equations with locally integrably bounded right-hand sides are presented. Ramifications for weakly asymptotically autonomous systems and adaptively controlled systems are highlighted." }, { "paper": "2050216278", "venue": "151579836", "year": "2003", "title": "corrigendum to finite difference reaction diffusion systems with coupled boundary conditions and time delays j math anal appl 272 2002 407 434", "label": [ "181330731", "121231716", "134306372", "182310444" ], "author": [ "2608609374" ], "reference": [], "abstract": "", "title_raw": "Corrigendum to \u201cFinite difference reaction\u2013diffusion systems with coupled boundary conditions and time delays\u201d: [J. Math. Anal. Appl. 272 (2002) 407\u2013434]", "abstract_raw": "" }, { "paper": "1972853392", "venue": "90727058", "year": "2003", "title": "completion of codes with finite bi decoding delays", "label": [ "114614502", "167955471", "149685015", "57273362", "118615104", "157125643", "146072743", "3427991", "41608201", "2400350" ], "author": [ "2974380745", "2973486638", "2973664132" ], "reference": [ "141700090", "196919032", "1509666468", "1589319511", "1968850105", "1976259068", "1993165061", "2008184600" ], "abstract": "let a be a free monoid generated by a set a and let x a be a code with property p the embedding of x into a complete code y a with the same property p is called the completion of x the method of completion of rational bifix codes and codes with finite decoding delays have been investigated by a number of authors in this paper we provide a general method of construction for completing the codes with finite bi decoding delays as a consequence the completion method of rational bifix codes and codes with finite decoding delays is extended and applied to codes with finite bi decoding delays", "title_raw": "Completion of codes with finite bi-decoding delays", "abstract_raw": "Let A* be a free monoid generated by a set A and let X \u2286 A* be a code with property P. The embedding of X into a complete code Y \u2286 A* with the same property P is called the completion of X. The method of completion of rational bifix codes and codes with finite decoding delays have been investigated by a number of authors. In this paper, we provide a general method of construction for completing the codes with finite bi-decoding delays. As a consequence, the completion method of rational bifix codes and codes with finite decoding delays is extended and applied to codes with finite bi-decoding delays." }, { "paper": "2002898383", "venue": "165651092", "year": "2003", "title": "two trigonometric quadrature formulae for evaluating hypersingular integrals", "label": [ "28537468", "65692021", "134306372", "9317044", "65454745" ], "author": [ "2304198940", "2679576216" ], "reference": [ "584253498", "1609413062", "1691412307", "1968922276", "1971099220", "1971641907", "1973951875", "1978283186", "1983323318", "1983555275", "1984410776", "1988727559", "1990080548", "1999448291", "2000061835", "2001751515", "2007946663", "2012883034", "2014662350", "2028416878", "2031004775", "2034331253", "2037913983", "2040574175", "2042681371", "2052814546", "2053100542", "2055456205", "2063591089", "2064475350", "2067280812", "2071805813", "2073226331", "2073997729", "2074038484", "2085157559", "2101822493", "2116325604", "2122943717", "2131215171", "2150079662", "2151154154", "2161657544", "2163900016", "2332683290", "2337093020", "2408227189", "2490615762", "2793288287", "3133972210" ], "abstract": "two trigonometric quadrature formulae one of non interpolatory type and one of interpolatory type for computing the hypersingular integral are developed on the basis of trigonometric quadrature formulae for cauchy principal value integrals the formulae use the cosine change of variables and trigonometric polynomial interpolation at the practical abscissae fast three term recurrence relations for evaluating the quadrature weights are derived numerical tests are carried out using the current formula as applications two simple crack problems are considered one is a semi infinite plane containing an internal crack perpendicular to its boundary and the other is a centre cracked panel subjected to both normal and shear tractions it is found that the present method generally gives superior results copyright 2002 john wiley sons ltd", "title_raw": "Two trigonometric quadrature formulae for evaluating hypersingular integrals", "abstract_raw": "Two trigonometric quadrature formulae, one of non-interpolatory type and one of interpolatory type for computing the hypersingular integral are developed on the basis of trigonometric quadrature formulae for Cauchy principal value integrals. The formulae use the cosine change of variables and trigonometric polynomial interpolation at the practical abscissae. Fast three-term recurrence relations for evaluating the quadrature weights are derived. Numerical tests are carried out using the current formula. As applications, two simple crack problems are considered. One is a semi-infinite plane containing an internal crack perpendicular to its boundary and the other is a centre cracked panel subjected to both normal and shear tractions. It is found that the present method generally gives superior results. Copyright \u00a9 2002 John Wiley & Sons, Ltd." }, { "paper": "2073698336", "venue": "50372074", "year": "2003", "title": "positive solutions for a class of implicit and discontinuous second order functional differential equations with singularities", "label": [ "39641988", "153576954", "139609574", "201292218", "78045399", "12843", "48753275", "134306372" ], "author": [ "1963581940", "2140587503", "1861106174" ], "reference": [ "615716214", "1515799674", "1982154888", "2002069147", "2004494904", "2130967448" ], "abstract": "we derive existence and approximation results for a type of implicit second order differential equations related with diffusion processes singularities discontinuities and functional dependence are allowed", "title_raw": "Positive solutions for a class of implicit and discontinuous second order functional differential equations with singularities", "abstract_raw": "We derive existence and approximation results for a type of implicit second order differential equations related with diffusion processes. Singularities, discontinuities and functional dependence are allowed." }, { "paper": "2171653202", "venue": "55189604", "year": "2003", "title": "transition models for change point estimation in logistic regression", "label": [ "41426520", "140331021", "126090379", "149782125", "117568660", "179024874", "134261354", "151956035", "105795698", "87007009" ], "author": [ "140202106", "2250788657", "2212624663" ], "reference": [ "1934282767", "1995945562", "2003332152", "2008907401", "2032676088", "2047714861", "2053740003", "2064950542", "2077618811", "2078519315", "2085742009", "2105055746", "2105781239", "2122126015", "2124911239", "2127649151", "2131940376", "2141495777", "2155982020", "2288768789", "2525000507", "2552942965", "2797583072" ], "abstract": "although a wide variety of change point models are available for continuous outcomes few models are available for dichotomous outcomes this paper introduces transition methods for logistic regression models in which the dose response relationship follows two different straight lines which may intersect or may present a jump at an unknown change point in these models the logit includes a differentiable transition function that provides parametric control of the sharpness of the transition at the change point allowing for abrupt changes or more gradual transitions between the two different linear trends as well as for estimation of the location of the change point linear linear logistic models are particular cases of the proposed transition models we present a modified iteratively reweighted least squares algorithm to estimate model parameters and we provide inference procedures including a test for the existence of the change point these transition models are explored in a simulation study and they are used to evaluate the existence of a change point in the association between plasma glucose after an oral glucose tolerance test and mortality using data from the mortality follow up of the second national health and nutrition examination survey", "title_raw": "Transition models for change-point estimation in logistic regression.", "abstract_raw": "Although a wide variety of change-point models are available for continuous outcomes, few models are available for dichotomous outcomes. This paper introduces transition methods for logistic regression models in which the dose-response relationship follows two different straight lines, which may intersect or may present a jump at an unknown change-point. In these models, the logit includes a differentiable transition function that provides parametric control of the sharpness of the transition at the change-point, allowing for abrupt changes or more gradual transitions between the two different linear trends, as well as for estimation of the location of the change-point. Linear-linear logistic models are particular cases of the proposed transition models. We present a modified iteratively reweighted least squares algorithm to estimate model parameters, and we provide inference procedures including a test for the existence of the change-point. These transition models are explored in a simulation study, and they are used to evaluate the existence of a change-point in the association between plasma glucose after an oral glucose tolerance test and mortality using data from the Mortality Follow-up of the Second National Health and Nutrition Examination Survey." }, { "paper": "2079159646", "venue": "100601982", "year": "2003", "title": "on the existence of a maximizer for the strichartz inequality", "label": [ "2776330181", "2779554487", "45555294", "58442840", "134306372" ], "author": [ "2334723480" ], "reference": [ "87100898", "190761553", "1584610719", "1588528702", "1816756658", "1977225278", "1986779216", "2005053510", "2009253419", "2041324809", "2051089144", "2779923930" ], "abstract": "it is shown that a maximizing function u l 2 does exist for the strichartz inequality e it x 2 u l 6 t l 6 x s u l 2 with s 0 being the sharp constant", "title_raw": "On the Existence of a Maximizer for the Strichartz Inequality", "abstract_raw": "It is shown that a maximizing function u *\ue3a2L 2 does exist for the Strichartz inequality \u2225e it \u2202 x 2 u\u2225 L 6 t (L 6 x )\u2264S\u2225u\u2225 L 2, with S>0 being the sharp constant." }, { "paper": "2151726238", "venue": "90727058", "year": "2003", "title": "biinfinite words with maximal recurrent unbordered factors", "label": [ "2778533034", "90805587", "114614502", "2776548862", "207405024", "2778975207", "2779844624", "4071166", "136979486", "94375191" ], "author": [ "2607426680" ], "reference": [ "1514324498", "1980588086", "1997358966", "2022668972", "2033995689", "2046638051", "2081443805" ], "abstract": "a finite non empty word z is said to be a border of a finite non empty word w if w uz zv for some non empty words u and v a finite non empty word is said to be bordered if it admits a border and it is said to be unbordered otherwise in this paper we give two characterizations of the biinfinite words of the form uvu where u and v are finite words in terms of its unbordered factors the main result of the paper states that the words of the form uvu are precisely the biinfinite words w a 2a 1a0a1a2 for which there exists a pair l0 r0 of integers with l0", "title_raw": "Biinfinite words with maximal recurrent unbordered factors", "abstract_raw": "A finite non-empty word z is said to be a border of a finite non-empty word w if w=uz=zv for some non-empty words u and v. A finite non-empty word is said to be bordered if it admits a border, and it is said to be unbordered otherwise. In this paper, we give two characterizations of the biinfinite words of the form ?uvu?, where u and v are finite words, in terms of its unbordered factors.The main result of the paper states that the words of the form ?uvu? are precisely the biinfinite words w=?a?2a?1a0a1a2? for which there exists a pair (l0,r0) of integers with l0" }, { "paper": "2034086083", "venue": "151579836", "year": "2003", "title": "some new results on domains in complex space with non compact automorphism group", "label": [ "45237699", "151904110", "202444582", "184526619", "204575570", "35222485", "145917221", "125565743", "5984505", "204379118" ], "author": [ "2130513610", "2266118405" ], "reference": [ "164208200", "1488781340", "1516484658", "1539925058", "2000296290", "2029716765", "2318355714", "2332533383", "2333367140", "2599798715", "3038696418" ], "abstract": "abstract we provide a new proof of the wong rosay theorem using the structure of the ring of holomorphic functions as a byproduct we provide an analogous theorem for classical bounded symmetric domains the second main result of this article concerns a new existence theorem for holomorphic peaking functions at a hyperbolic orbit accumulation boundary point finally we give a proof of a version of the greene krantz conjecture using holomorphic vector fields and a strengthened hopf lemma", "title_raw": "Some new results on domains in complex space with non-compact automorphism group", "abstract_raw": "Abstract We provide a new proof of the Wong\u2013Rosay theorem, using the structure of the ring of\u00a0holomorphic functions. As a byproduct, we provide an analogous theorem for classical bounded symmetric domains. The second main result of this article concerns a new existence theorem for holomorphic peaking functions at a hyperbolic orbit accumulation boundary point. Finally, we give a proof of a version of the Greene\u2013Krantz conjecture using holomorphic vector fields and a strengthened Hopf lemma." }, { "paper": "1967712477", "venue": "102439543", "year": "2003", "title": "on minimal disjoint degenerations for preprojective representations of quivers", "label": [ "129782007", "108710211", "45340560", "34388435", "2778974630", "54732982", "202444582", "23259944", "83979697" ], "author": [ "2480267522", "2671630558" ], "reference": [ "73729122", "1548384067", "1607402086", "1990664889", "1996053329", "2002399843", "2058822808", "2068977960", "2089420710", "2093890854", "2322686978", "2574081884" ], "abstract": "we derive a root test for degenerations as described in the title in the case of dynkin quivers this leads to a conceptual proof of the fact that the codimension of a minimal disjoint degeneration is always one for euclidean quivers it enables us to show a periodic behaviour this reduces the classification of all these degenerations to a finite problem that we have solved with the aid of a computer it turns out that the codimensions are bounded by two somewhat surprisingly the regular and preinjective modules play an essential role in our proofs", "title_raw": "On minimal disjoint degenerations for preprojective representations of quivers", "abstract_raw": "We derive a root test for degenerations as described in the title. In the case of Dynkin quivers this leads to a conceptual proof of the fact that the codimension of a minimal disjoint degeneration is always one. For Euclidean quivers, it enables us to show a periodic behaviour. This reduces the classification of all these degenerations to a finite problem that we have solved with the aid of a computer. It turns out that the codimensions are bounded by two. Somewhat surprisingly, the regular and preinjective modules play an essential role in our proofs." }, { "paper": "1986531043", "venue": "897311980", "year": "2003", "title": "on the poisson equation for piecewise deterministic markov processes", "label": [ "158917313", "164660894", "8272713", "2777737063", "98763669", "159886148", "163540672", "2776548862", "134306372" ], "author": [ "2570316295", "2106950766" ], "reference": [ "1995713768", "2010654234", "2022478817", "2126794261", "2171923726", "2179587579" ], "abstract": "in this paper we study the problem of the existence of a solution for the poisson equation pe associated to a piecewise deterministic markov process pdp it is well known that the long run average cost of a stochastic process can be obtained through a solution of the pe associated with the process our first result will show that the existence of a solution for the pe of a pdp is equivalent to the existence of a solution for the pe of an embedded discrete time markov chain associated with the pdp it is important to point out that due to the possibility of jumps from the boundary the differential formula for the pdps has a special form so that general results for the pe of continuous time stochastic processes cannot be directly applied usually discrete time conditions for the existence of a solution of a pe of a markov chain are easier to apply than the continuous time counterpart we follow this approach to derive our second result which establishes sufficient conditions for the existence of a", "title_raw": "ON THE POISSON EQUATION FOR PIECEWISE-DETERMINISTIC MARKOV PROCESSES \u2217", "abstract_raw": "In this paper we study the problem of the existence of a solution for the Poisson equation (PE) associated to a piecewise-deterministic Markov process (PDP). It is well known that the long run average cost of a stochastic process can be obtained through a solution of the PE associated with the process. Our first result will show that the existence of a solution for the PE of a PDP is equivalent to the existence of a solution for the PE of an embedded discrete- time Markov chain associated with the PDP. It is important to point out that, due to the possibility of jumps from the boundary, the differential formula for the PDPs has a special form, so that general results for the PE of continuous- time stochastic processes cannot be directly applied. Usually discrete-time conditions for the existence of a solution of a PE of a Markov chain are easier to apply than the continuous-time counterpart. We follow this approach to derive our second result, which establishes sufficient conditions for the existence of a..." }, { "paper": "1988850336", "venue": "70695507", "year": "2003", "title": "singular lidstone boundary value problem with given maximal values for solutions", "label": [ "134306372", "114614502", "182310444", "2779560616", "158976484", "16171025", "78045399" ], "author": [ "2222379030", "2140111608", "1789310130" ], "reference": [ "96130631", "159618956", "343661584", "857354946", "1511178547", "1545464436", "1555674425", "1969304434", "1970375348", "1971651923", "1975221158", "1975791058", "1987915958", "1988599154", "2009334441", "2013344934", "2033992093", "2043154568", "2051351718", "2072898658", "2086301495", "2088485108", "2133440873", "2147489612", "2161066639", "2169574282", "3047873833" ], "abstract": "abstract the singular problem 1 nx 2n f t x x 2n 2 x 2j 0 x 2j t 0 0 j n 1 max x t 0 t t a depending on the parameter is considered here the positive caratheodory function f may be singular at the zero value of all its phase variables the paper presents conditions which guarantee that for any a 0 there exists a 0 such that the above problem with a has a solution x ac2n 1 0 t which is positive on 0 t the proofs are based on the regularization and sequential techniques and use the leray schauder degree and vitali s convergence theorem", "title_raw": "Singular Lidstone boundary value problem with given maximal values for solutions", "abstract_raw": "Abstract The singular problem (\u22121)nx(2n)=\u03bcf(t,x,\u2026,x(2n\u22122)), x (2j) (0)=x (2j) (T)=0 (0\u2a7dj\u2a7dn\u22121) , max{x(t):0\u2a7dt\u2a7dT}=A depending on the parameter \u03bc is considered. Here the positive Caratheodory function f may be singular at the zero value of all its phase variables. The paper presents conditions which guarantee that for any A>0 there exists \u03bcA>0 such that the above problem with \u03bc=\u03bcA has a solution x\u2208AC2n\u22121([0,T]) which is positive on (0,T). The proofs are based on the regularization and sequential techniques and use the Leray\u2013Schauder degree and Vitali's convergence theorem." }, { "paper": "2096274180", "venue": "35412551", "year": "2003", "title": "near optimal configurations in mean field disordered systems", "label": [ "47458327", "137836250", "58442840" ], "author": [ "2105032883", "2163147449", "2844969849" ], "reference": [ "67367170", "1496713656", "1504317671", "1510746324", "1518885151", "1524849351", "1622584740", "1854875838", "1972070866", "1975467279", "1979483474", "1991904924", "1999819752", "2020323765", "2022083710", "2027508396", "2030895522", "2048590482", "2049378296", "2066356256", "2067021796", "2070200737", "2089435411", "2093966655", "2100999660", "2126210519", "2134779330", "2140531638", "2152892062", "2167185799", "2483846710", "2951927145" ], "abstract": "we present a general technique to compute how the energy of a configuration varies as a function of its overlap with the ground state in the case of optimization problems our approach is based on a generalization of the cavity method to a system interacting with its ground state with this technique we study the random matching problem as well as the mean field diluted spin glass as a by product of this approach we calculate the de almeida thouless transition line of the spin glass on a fixed connectivity random graph", "title_raw": "Near-optimal configurations in mean-field disordered systems.", "abstract_raw": "We present a general technique to compute how the energy of a configuration varies as a function of its overlap with the ground state in the case of optimization problems. Our approach is based on a generalization of the cavity method to a system interacting with its ground state. With this technique we study the random matching problem as well as the mean-field diluted spin glass. As a by-product of this approach we calculate the de Almeida-Thouless transition line of the spin glass on a fixed connectivity random graph." }, { "paper": "2007493374", "venue": "99182027", "year": "2003", "title": "a dynamic lagrangian frequency time method for the vibration of dry friction damped systems", "label": [ "135628077", "48753275", "19118579", "103824480", "134306372", "111335779" ], "author": [ "1984526221", "2137649922", "119975658", "724764698" ], "reference": [ "1975256766", "1980326016", "1981712291", "1984506618", "1993527544", "2009486059", "2020687982", "2021233028", "2021584122", "2028380889", "2032952060", "2040222826", "2053966536", "2054498719", "2073597505", "2073615296", "2074215230", "2075384002", "2081816570", "2083400400", "2091088486", "2098064685", "2118357359", "2139733245", "2487375894", "3134242795" ], "abstract": "abstract a new frequency time domain procedure the dynamic lagrangian mixed frequency time method dlft is proposed to calculate the non linear steady state response to periodic excitation of structural systems subject to dry friction damping in this formulation the dynamic lagrangians are defined as the non linear contact forces obtained from the equations of motion in the frequency domain with the adjunction of a penalization on the difference between the interface displacements calculate by the non linear solver in the frequency domain and those calculated in the time domain from the non linear contact forces thus accounting for coulomb friction and non penetration conditions the dynamic lagrangians allow one to solve for the non linear forces between two points in contact without using artifacts such as springs the new dlft method is thus particularly well suited to handling finite element models of structures in frictional contact as it does not require a special model for the contact interface dynamic lagrangians are also better suited to frequency domain friction problems than the traditional time domain method of augmented lagrangians furthermore a reduction of the non linear system to relative interface displacements is introduced to decrease the computation time the dlft method is validated for a beam in contact with a flexible dry friction element connected to ground for frictional constraints that feature two dimensional relative motion results are also obtained for a large scale structural system with a large number of one dimensional dry friction dampers the dlft method is shown to be accurate and fast and it does not suffer from convergence problems at least in the examples studied", "title_raw": "A dynamic Lagrangian frequency\u2013time method for the vibration of dry-friction-damped systems", "abstract_raw": "Abstract A new frequency\u2013time domain procedure, the dynamic Lagrangian mixed frequency\u2013time method (DLFT), is proposed to calculate the non-linear steady state response to periodic excitation of structural systems subject to dry friction damping. In this formulation, the dynamic Lagrangians are defined as the non-linear contact forces obtained from the equations of motion in the frequency domain, with the adjunction of a penalization on the difference between the interface displacements calculate by the non-linear solver in the frequency domain and those calculated in the time domain from the non-linear contact forces, thus accounting for Coulomb friction and non-penetration conditions. The dynamic Lagrangians allow one to solve for the non-linear forces between two points in contact without using artifacts such as springs. The new DLFT method is thus particularly well suited to handling finite element models of structures in frictional contact, as it does not require a special model for the contact interface. Dynamic Lagrangians are also better suited to frequency-domain friction problems than the traditional time-domain method of augmented Lagrangians. Furthermore, a reduction of the non-linear system to relative interface displacements is introduced to decrease the computation time. The DLFT method is validated for a beam in contact with a flexible dry friction element connected to ground, for frictional constraints that feature two-dimensional relative motion. Results are also obtained for a large-scale structural system with a large number of one-dimensional dry-friction dampers. The DLFT method is shown to be accurate and fast, and it does not suffer from convergence problems, at least in the examples studied." }, { "paper": "2089102270", "venue": "40006715", "year": "2003", "title": "topology optimization of flow networks", "label": [ "117729477", "184720557", "126794175", "38349280", "2755393", "189216461", "11413529", "181576044", "143913944" ], "author": [ "2052003826", "2020419233", "2047908174", "2126382348" ], "reference": [ "114949684", "597165905", "612273259", "1551360398", "1980882580", "1995458154", "1996977946", "2010997912", "2017359618", "2020665726", "2037118591", "2045682702", "2046322851", "2057850795", "2059210960", "2107026734", "2150041792", "2158862486", "2167087398", "2168089051", "2247227293", "2787523326" ], "abstract": "the field of topology optimization is well developed for load carrying trusses but so far not for other similar network problems the present paper is a first study in the direction of topology op", "title_raw": "Topology optimization of flow networks", "abstract_raw": "The field of topology optimization is well developed for load carrying trusses, but so far not for other similar network problems. The present paper is a first study in the direction of topology op ..." }, { "paper": "2018926148", "venue": "119757635", "year": "2003", "title": "asymptotic results in jackknifing nonsmooth functions of the sample mean vector", "label": [ "164172150", "28826006", "185429906", "81790035", "105795698", "11654742", "48057537", "971699", "2775991709" ], "author": [ "2659502330" ], "reference": [ "276505436", "1494169853", "1527909160", "1965902853", "1984347506", "1988625484", "1990449922", "1998577486", "2000024251", "2004672064", "2033260623", "2036321128", "2037586880", "2055318295", "2327088997", "2903679054" ], "abstract": "the asymptotic behavior of jackknife estimators and jackknife variance estimators is investigated for nonsmooth functions of the sample mean vector an application of jackknifing a suitable estimator of the intrinsic diversity profile is also presented", "title_raw": "Asymptotic results in jackknifing nonsmooth functions of the sample mean vector", "abstract_raw": "The asymptotic behavior of jackknife estimators and jackknife variance estimators is investigated for nonsmooth functions of the sample mean vector. An application of jackknifing a suitable estimator of the intrinsic diversity profile is also presented." }, { "paper": "2135891541", "venue": "134177497", "year": "2003", "title": "fuzzy control with fuzzy inputs", "label": [ "148671577", "127385683", "65244806", "29470771", "102805184", "144170203" ], "author": [ "2046051486", "2146731532" ], "reference": [ "994352600", "1485567977", "1499982259", "1511176262", "1584590635", "1600047650", "1966363240", "1968661412", "1970104171", "1975737856", "1979047307", "1991358523", "1991767164", "1992176519", "2001645181", "2007266552", "2019950953", "2027654459", "2033166200", "2041280856", "2042248485", "2075090033", "2075159510", "2079325629", "2081788240", "2092013679", "2092092154", "2099044018", "2106720714", "2107934763", "2110990364", "2111332852", "2119061130", "2137829300", "2138553938", "2150248111", "2161925873", "2163928763", "2180159404", "2224158350", "2484756509", "2913908249" ], "abstract": "this paper is concerned with the use of fuzzy inputs in fuzzy logic controllers a precise representation of fuzzy logic controllers by means of mappings is used to introduce different ways for dealing with fuzzy inputs two types of fuzzy inputs are presented and their potential use in fuzzy control is discussed the proposed concepts are applied to control a first order process with a pi controller this simple process is chosen to clearly illustrate the behavior of the closed loop system using fuzzy inputs for fuzzy reference and fuzzy measurement finally a nonlinear process is used to illustrate the effects of fuzzy inputs on a more complex system although it is sometimes speculated that fuzzy inputs may improve the behavior of fuzzy controllers experiments developed in this paper show this point is not straightforward and that the relevance of fuzzy inputs should be questioned in closed loop fuzzy control", "title_raw": "Fuzzy control with fuzzy inputs", "abstract_raw": "This paper is concerned with the use of fuzzy inputs in fuzzy logic controllers. A precise representation of fuzzy logic controllers by means of mappings is used to introduce different ways for dealing with fuzzy inputs. Two types of fuzzy inputs are presented and their potential use in fuzzy control is discussed. The proposed concepts are applied to control a first order process with a PI controller. This simple process is chosen to clearly illustrate the behavior of the closed-loop system using fuzzy inputs for fuzzy reference and fuzzy measurement. Finally, a nonlinear process is used to illustrate the effects of fuzzy inputs on a more complex system. Although it is sometimes speculated that fuzzy inputs may improve the behavior of fuzzy controllers, experiments developed in this paper show this point is not straightforward and that the relevance of fuzzy inputs should be questioned in closed-loop fuzzy control." }, { "paper": "2041003315", "venue": "104894821", "year": "2003", "title": "a non near boolean family of valuation rings satisfying an arithmetic local global principle", "label": [ "118615104", "125565743", "126977719", "2778472273", "144558754" ], "author": [ "2104464941" ], "reference": [ "86821415", "92153231", "2013161834", "2085660288", "2093492745", "2115206250" ], "abstract": "principle for solving a number of model theoretic problems all examples andmodel theoretic arguments in 1 deal with boolean and near boolean families ofvaluation rings in the present paper two open questions are solved we give an example of nonboolean af ne family of valuation rings which is simultaneously a boolean spaceequipped with the zariski topology cf the example before proposition 4 theo rem 2 allows us to construct natural examples of non near boolean af ne familiesof valuation rings satisfying", "title_raw": "A non near-Boolean family of valuation rings satisfying an arithmetic local-global principle", "abstract_raw": "-principle for solving a number of model-theoretic problems. All examples andmodel-theoretic arguments in [1] deal with Boolean and near-Boolean families ofvaluation rings.In the present paper, two open questions are solved.We give an example of nonBoolean af\ufb01ne family of valuation rings which is simultaneously a Boolean spaceequipped with the Zariski topology (cf. the example before Proposition 4). Theo-rem 2 allows us to construct natural examples of non near-Boolean af\ufb01ne familiesof valuation rings satisfying" }, { "paper": "1984856014", "venue": "193920097", "year": "2003", "title": "minimal concave cost rebalance of a portfolio to the efficient frontier", "label": [ "97824396", "93693863", "55660270", "144237770", "126255220", "164752517" ], "author": [ "2103731555", "2102431683" ], "reference": [ "1554267932", "1600338438", "1972069020", "1997054498", "2038865108", "2044609786", "2045513909", "2052890323", "2098968017", "2107527441", "2526272609", "2795413297", "3150183338" ], "abstract": "one usually constructs a portfolio on the efficient frontier but it may not be efficient after say three months since the efficient frontier will shift as the elapse of time we then have to rebalance the portfolio if the deviation is no longer acceptable the method to be proposed in this paper is to find a portfolio on the new efficient frontier such that the total transaction cost required for this rebalancing is minimal this problem results in a nonconvex minimization problem if we use mean variance model in this paper we will formulate this problem by using absolute deviation as the measure of risk and solve the resulting linearly constrained concave minimization problem by a branch and bound algorithm successfully applied to portfolio optimization problem under concave transaction costs it will be demonstrated that this method is efficient and that it leads to a significant reduction of transaction costs", "title_raw": "Minimal concave cost rebalance of a portfolio to the efficient frontier", "abstract_raw": "One usually constructs a portfolio on the efficient frontier, but it may not be efficient after, say three months since the efficient frontier will shift as the elapse of time. We then have to rebalance the portfolio if the deviation is no longer acceptable. The method to be proposed in this paper is to find a portfolio on the new efficient frontier such that the total transaction cost required for this rebalancing is minimal. This problem results in a nonconvex minimization problem, if we use mean-variance model. In this paper we will formulate this problem by using absolute deviation as the measure of risk and solve the resulting linearly constrained concave minimization problem by a branch and bound algorithm successfully applied to portfolio optimization problem under concave transaction costs. It will be demonstrated that this method is efficient and that it leads to a significant reduction of transaction costs." }, { "paper": "2058893028", "venue": "50372074", "year": "2003", "title": "a subclass of harmonic univalent functions with negative coefficients", "label": [ "39847760", "202444582", "627467", "134306372", "142805521", "2779682053", "134722173", "47177299" ], "author": [ "2491138426", "2105298843", "205413588" ], "reference": [ "1972173568", "1988126813", "1992487348", "2059984780" ], "abstract": "complex valued harmonic functions that are univalent and sense preserving in the unit disk u can be written in the form email protected where h and g are analytic in u in this paper consider the class hp b 0 b we give sufficient coefficient conditions for normalized harmonic functions in the class hp b these conditions are also shown to be necessary when the coefficients are negative this leads to distortion bounds and extreme points", "title_raw": "A subclass of harmonic univalent functions with negative coefficients", "abstract_raw": "Complex-valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form [email\u00a0protected]?, where h and g are analytic in U. In this paper, consider the class HP(@b), (0= @b. We give sufficient coefficient conditions for normalized harmonic functions in the class HP(@b). These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points." }, { "paper": "2113411010", "venue": "3006183880", "year": "2003", "title": "qualitative analysis of a ratio dependent predator prey system with diffusion", "label": [ "36503486", "34388435", "41949839", "53846429", "163681178", "2779554487" ], "author": [ "2152504099", "2628041190" ], "reference": [], "abstract": "ratio dependent predator prey models are favoured by many animal ecologists recently as they better describe predator prey interactions where predation involves a searching process when densities of prey and predator are spatially homogeneous the so called michaelis menten ratio dependent predator prey system which is an ordinary differential system has been studied by many authors the present paper deals with the case where densities of prey and predator are spatially inhomogeneous in a bounded domain subject to the homogeneous neumann boundary condition its main purpose is to study qualitative properties of solutions to this reaction diffusion partial differential system in particular we will show that even though the unique positive constant steady state is globally asymptotically stable for the ordinary differential equation dynamics non constant positive steady states exist for the partial differential equation model this demonstrates that stationary patterns arise as a result of diffusion", "title_raw": "Qualitative analysis of a ratio-dependent predator\u2013prey system with diffusion", "abstract_raw": "Ratio-dependent predator\u2013prey models are favoured by many animal ecologists recently as they better describe predator\u2013prey interactions where predation involves a searching process. When densities of prey and predator are spatially homogeneous, the so-called Michaelis\u2013Menten ratio-dependent predator\u2013prey system, which is an ordinary differential system, has been studied by many authors. The present paper deals with the case where densities of prey and predator are spatially inhomogeneous in a bounded domain subject to the homogeneous Neumann boundary condition. Its main purpose is to study qualitative properties of solutions to this reaction-diffusion (partial differential) system. In particular, we will show that even though the unique positive constant steady state is globally asymptotically stable for the ordinary-differential-equation dynamics, non-constant positive steady states exist for the partial-differential-equation model. This demonstrates that stationary patterns arise as a result of diffusion." }, { "paper": "1965000714", "venue": "45918994", "year": "2003", "title": "approximation to real numbers by cubic algebraic integers ii", "label": [ "9376300", "114614502", "188370112", "94020503", "4071166", "205826798" ], "author": [ "2107701997" ], "reference": [ "789446702", "1514324498", "1543488949", "1594746077", "2007343403", "2067809131", "2075422800", "2079999463" ], "abstract": "it has been conjectured for some time that for any integer n 2 any real number e 0 and any transcendental real number there would exist infinitely many algebraic integers a of degree at most n with the property that h n e where h denotes the height of a although this is true for n 2 we show here that for n 3 the optimal exponent of approximation is not 3 but 3 5 2 2 618", "title_raw": "Approximation to real numbers by cubic algebraic integers. II", "abstract_raw": "It has been conjectured for some time that, for any integer n > 2, any real number e > 0 and any transcendental real number \u03be, there would exist infinitely many algebraic integers a of degree at most n with the property that |\u03be-\u03b1| \u2264 H(\u03b1) -n+e , where H(\u03b1) denotes the height of a. Although this is true for n = 2, we show here that, for n = 3, the optimal exponent of approximation is not 3 but (3 + \u221a5)/2 \u2243 2.618." }, { "paper": "2017153729", "venue": "73535193", "year": "2003", "title": "the variable weighted functions of combined forecasting", "label": [ "126255220", "90119067", "135692309", "137127113", "134466208", "149488123", "182365436", "117656884" ], "author": [ "2715580462", "2153083412", "1986476467" ], "reference": [ "1965201022", "1978184985", "2029764283", "2063259590", "2161020850", "3014970703" ], "abstract": "abstract in this paper we describe a mathematical framework to determine the weighted functions in variable weight combined forecasting vwcf problems with continuous variable weights due to the polynomial approximation theorem and matrix analysis the general formula of the variable weighted functions w i t in the vwcf problems is obtained we put forward the optimal weighted matrix and get the optimal weights by minimizing errors square sum j at any given times", "title_raw": "The variable weighted functions of combined forecasting", "abstract_raw": "Abstract In this paper, we describe a mathematical framework to determine the weighted functions in variable weight combined forecasting (VWCF) problems with continuous variable weights. Due to the polynomial approximation theorem and matrix analysis, the general formula of the variable weighted functions w i ( t ) in the VWCF problems is obtained. We put forward the optimal weighted matrix and get the optimal weights by minimizing errors square sum J at any given times." }, { "paper": "1988969484", "venue": "200871675", "year": "2003", "title": "averaging theorems for conservative systems and the weakly compressible euler equations", "label": [ "200602138", "93082080", "134306372", "48330753", "75380026", "38409319", "40709475", "170036204", "768646" ], "author": [ "2491792838", "1987285382" ], "reference": [ "126317845", "144835882", "156922257", "615276906", "1446703170", "1495482359", "1575147392", "1620742850", "1643641630", "1982153558", "1989121669", "1992081887", "1996160600", "2000585298", "2000595356", "2005135197", "2010258025", "2039343706", "2058641128", "2072763372", "2075085615", "2081476622", "2089093170", "2094438648", "3021722416" ], "abstract": "abstract a generic averaging theorem is proven for systems of odes with two time scales that cannot be globally transformed into the usual action angle variable normal form for such systems this theorem is shown to apply to certain fourier space truncations of the non isentropic slightly compressible euler equations of fluid mechanics for the full euler equations we derive formally the generic limit equations and analyze some of their properties in the one dimensional case we prove a generic converic convergence result for the full euler equations analogous to the result for odes by making use of special properties of the one dimensional equations we prove convergence to the solution of a more complicated set of averaged equations when the genericity assumptions fail", "title_raw": "Averaging theorems for conservative systems and the weakly compressible Euler equations", "abstract_raw": "Abstract A generic averaging theorem is proven for systems of ODEs with two-time scales that cannot be globally transformed into the usual action-angle variable normal form for such systems. This theorem is shown to apply to certain Fourier-space truncations of the non-isentropic slightly compressible Euler equations of fluid mechanics. For the full Euler equations, we derive formally the generic limit equations and analyze some of their properties. In the one-dimensional case, we prove a generic converic convergence result for the full Euler equations, analogous to the result for ODEs. By making use of special properties of the one-dimensional equations, we prove convergence to the solution of a more complicated set of averaged equations when the genericity assumptions fail." }, { "paper": "2143543015", "venue": "158241587", "year": "2003", "title": "general soliton matrices in the riemann hilbert problem for integrable nonlinear equations", "label": [ "137127113", "93779851", "134306372", "56991379", "67809727", "51544822", "87651913", "158622935", "37914503", "136628613" ], "author": [ "2403532712", "2116889897" ], "reference": [ "178910666", "565744763", "1520582556", "1552987673", "1576929202", "1631114555", "1865702193", "1968081421", "1982554459", "1993232980", "1994877345", "1995220437", "1999080167", "2005858593", "2007130693", "2009393115", "2013307631", "2014228145", "2022443517", "2044469892", "2049104181", "2056101558", "2058775869", "2063527260", "2064039912", "2067247593", "2076742644", "2083960709", "2118575947", "2152188261", "2152806843", "2461228432", "3102319311", "3124341114" ], "abstract": "we derive the soliton matrices corresponding to an arbitrary number of higher order normal zeros for the matrix riemann hilbert problem of arbitrary matrix dimension thus giving the complete solution to the problem of higher order solitons our soliton matrices explicitly give all higher order multisoliton solutions to the nonlinear partial differential equations integrable through the matrix riemann hilbert problem we have applied these general results to the three wave interaction system and derived new classes of higher order soliton and two soliton solutions in complement to those from our previous publication stud appl math 110 297 2003 where only the elementary higher order zeros were considered the higher order solitons corresponding to nonelementary zeros generically describe the simultaneous breakup of a pumping wave u3 into the other two components u1 and u2 and merger of u1 and u2 waves into the pumping u3 wave the two soliton solutions corresponding to two simple zeros gener", "title_raw": "General soliton matrices in the Riemann\u2013Hilbert problem for integrable nonlinear equations", "abstract_raw": "We derive the soliton matrices corresponding to an arbitrary number of higher-order normal zeros for the matrix Riemann\u2013Hilbert problem of arbitrary matrix dimension, thus giving the complete solution to the problem of higher-order solitons. Our soliton matrices explicitly give all higher-order multisoliton solutions to the nonlinear partial differential equations integrable through the matrix Riemann\u2013Hilbert problem. We have applied these general results to the three-wave interaction system, and derived new classes of higher-order soliton and two-soliton solutions, in complement to those from our previous publication [Stud. Appl. Math. 110, 297 (2003)], where only the elementary higher-order zeros were considered. The higher-order solitons corresponding to nonelementary zeros generically describe the simultaneous breakup of a pumping wave (u3) into the other two components (u1 and u2) and merger of u1 and u2 waves into the pumping u3 wave. The two-soliton solutions corresponding to two simple zeros gener..." }, { "paper": "1979618314", "venue": "171170845", "year": "2003", "title": "an interesting 0 cycle", "label": [ "89290136", "201482947", "199793520", "77462122", "207043602", "69653121", "182327082", "184363387", "114614502" ], "author": [ "2345486259", "2134295586" ], "reference": [ "139704762", "1497704795", "1575894935", "1981495757", "1989546477", "2008369524", "2028695836", "2075424523", "2469529898", "2482592273", "2504952737", "2608656652" ], "abstract": "", "title_raw": "An interesting 0-cycle", "abstract_raw": "" }, { "paper": "2006545093", "venue": "184147796", "year": "2003", "title": "extensions of cocycles cohen macaulay geometries and a vanishing theorem for cohomology of alternating groups", "label": [ "126867241", "68365058", "182349385", "155751095", "118615104", "74196217", "45442697", "202444582", "72738302", "78606066" ], "author": [ "1969810529" ], "reference": [ "579593124", "1490312012", "1607606134", "1966213316", "1976102968", "1989683789", "2003955824", "2012707699", "2013611958", "2019389539", "2044555867", "2046846941", "2056267178", "2059909450", "2072980863", "2100365068", "2218040560", "2494541182", "2496827709", "3107709063" ], "abstract": "abstract a new approach to the computation of the cohomology of groups acting on buekenhout geometries is described it is shown that in many cases including bn pairs and groups acting on dimensional linear spaces to compute the kth cohomology group hk g m it is sufficient roughly speaking to consider only parabolic subgroups of rank k 1 as an application it is shown that h k a n f p 0 for k 1 p k 2 where an is the alternating group", "title_raw": "Extensions of cocycles, Cohen\u2013Macaulay geometries, and a vanishing theorem for cohomology of alternating groups", "abstract_raw": "Abstract A new approach to the computation of the cohomology of groups acting on Buekenhout geometries is described. It is shown that in many cases, including BN-pairs and groups acting on dimensional linear spaces, to compute the kth cohomology group Hk(G,M) it is sufficient, roughly speaking, to consider only parabolic subgroups of rank \u2a7dk+1. As an application it is shown that H k (A n , F p )=0 for k\u2a7e1, p>k+2 (where An is the alternating group)." }, { "paper": "2017036836", "venue": "70695507", "year": "2003", "title": "existence and comparison of maximal and minimal solutions for pseudomonotone elliptic problems in l 1", "label": [ "2777021972", "2776548862", "134306372", "22324862", "70610323", "164506360", "179603306", "2779560616", "202444582", "144618667" ], "author": [ "2018481374", "2074031143" ], "reference": [ "1733365709", "1970967397", "1981218359", "2023633074", "2097135693", "2113505318", "2274091136", "2334628623", "2397969115", "2477109086", "3126504058" ], "abstract": "we consider the nonhomogeneous dirichlet problem div a x u u f in u w on where div a x u u is a pseudomonotone operator of leray lions type defined in w1 p0 w w1 p and f is in l1 under suitable assumptions of locally lipschitz or locally holder continuity of a x s with respect to s we prove the existence of maximal and minimal renormalized solutions and comparison results with respect to data f and w the results include examples of nonmonotone operators of p laplace type for any p 1 for which it is known that uniqueness of solutions does not hold", "title_raw": "Existence and comparison of maximal and minimal solutions for pseudomonotone elliptic problems in L 1", "abstract_raw": "We consider the nonhomogeneous Dirichlet problem {-div(a(x,u, \u2207u)) = f in \u03a9, u = w on \u03b4\u03a9, where -div(a(x, u, \u2207u)) is a pseudomonotone operator of Leray-Lions type defined in W1,p0(\u03a9), w \u2208 W1,p(\u03a9) and f is in L1(\u03a9). Under suitable assumptions of locally Lipschitz, or locally Holder, continuity of a(x,s, \u03be) with respect to s, we prove the existence of maximal and minimal renormalized solutions and comparison results with respect to data f and w. The results include examples of nonmonotone operators of p-laplace type (for any p > 1), for which it is known that uniqueness of solutions does not hold." }, { "paper": "2112670916", "venue": "168680287", "year": "2003", "title": "analysis of an lms algorithm for unbiased impulse response estimation", "label": [ "105795698", "139945424", "198386975", "112633086", "72279823", "32617633", "11413529", "167928553", "102248274" ], "author": [ "2150559846", "2810720213" ], "reference": [ "1892741681", "1985874053", "2008229822", "2059954946", "2114001875", "2119126614", "2122161878", "2130205909", "2130346654", "2138668867", "2148229598", "2167469225", "2171308192", "2798058877", "2895674046", "2913465992" ], "abstract": "in this correspondence a least mean squares lms based algorithm is devised for unbiased system identification in the presence of white input and output noise assuming that the ratio of the noise powers is known the proposed approach aims to minimize the mean square value of the equation error function under a constant norm constraint and is equivalent to minimizing a modified mean square error mse function an analysis of the algorithm shows that the estimates will converge to the true values in the mean sense the variances of the parameter estimates are also available computer simulations are included to corroborate the theoretical development and to evaluate the impulse response estimation performance of the lms algorithm under different conditions", "title_raw": "Analysis of an LMS algorithm for unbiased impulse response estimation", "abstract_raw": "In this correspondence, a least mean squares (LMS)-based algorithm is devised for unbiased system identification in the presence of white input and output noise, assuming that the ratio of the noise powers is known. The proposed approach aims to minimize the mean square value of the equation-error function under a constant-norm constraint and is equivalent to minimizing a modified mean square error (MSE) function. An analysis of the algorithm shows that the estimates will converge to the true values in the mean sense. The variances of the parameter estimates are also available. Computer simulations are included to corroborate the theoretical development and to evaluate the impulse response estimation performance of the LMS algorithm under different conditions." }, { "paper": "1990881149", "venue": "53336109", "year": "2003", "title": "new stochastic algorithm for design optimization", "label": [ "126980161", "109718341", "137631369", "159149176", "188919014", "194387892", "126255220", "8880873", "137836250", "11413529" ], "author": [ "2108451308", "3181509898", "2477648800", "3137447347" ], "reference": [ "90450217", "1487678510", "1503705371", "1518886352", "1555689267", "1568811820", "1569371811", "1966151890", "1980076334", "1982179286", "1985677112", "1994893382", "1998282540", "2003969814", "2009105561", "2020009149", "2020752194", "2024060531", "2030896118", "2038551327", "2038659300", "2043375522", "2049024305", "2053359004", "2063990730", "2070307401", "2078873819", "2085062840", "2097535419", "2104639896", "2118161619", "2134762861", "2143434728", "2153724791", "2168274603", "2171690703", "2222663666", "2478227765", "2963332217", "3023540311" ], "abstract": "a new stochastic algorithm for design optimization is introduced called generalized extremal optimization geo it is intended to be used in complex optimization problems where traditional gradient based methods may become inefficient such as when applied to a nonconvex or disjoint design space or when there are different kinds of design variables in it the algorithm is easy to implement does not make use of derivatives and can be applied to unconstrained or constrained problems and nonconvex or disjoint design spaces in the presence of any combination of continuous discrete or integer variables it is a global search metaheuristic as are genetic algorithms gas and simulated annealing sa but with the a priori advantage of having only one free parameter to adjust the algorithm is presented in two implementations and its performance is assessed on a set of test functions a simple application to the design of a glider airfoil is also presented it is shown that the geo algorithm is competitive in performance with the ga and sa and is an attractive tool to be used on applications in the aerospace field", "title_raw": "New Stochastic Algorithm for Design Optimization", "abstract_raw": "A new stochastic algorithm for design optimization is introduced. Called generalized extremal optimization (GEO), it is intended to be used in complex optimization problems where traditional gradient-based methods may become inefficient, such as when applied to a nonconvex or disjoint design space, or when there are different kinds of design variables in it. The algorithm is easy to implement, does not make use of derivatives, and can be applied to unconstrained or constrained problems, and nonconvex or disjoint design spaces, in the presence of any combination of continuous, discrete, or integer variables. It is a global search metaheuristic, as are genetic algorithms (GAs) and simulated annealing (SA), but with the a priori advantage of having only one free parameter to adjust. The algorithm is presented in two implementations and its performance is assessed on a set of test functions. A simple application to the design of a glider airfoil is also presented. It is shown that the GEO algorithm is competitive in performance with the GA and SA and is an attractive tool to be used on applications in the aerospace field." }, { "paper": "1965339726", "venue": "77200987", "year": "2003", "title": "formal asymptotic models of vehicular traffic model closures", "label": [ "11683690", "62884695", "205269179", "134306372" ], "author": [ "1939780156" ], "reference": [ "596813070", "1533788422", "1538135945", "1565774502", "1583468962", "1993226421", "2000829296", "2003114552", "2007745180", "2022308125", "2025409601", "2036278786", "2043604236", "2055613045", "2074310496", "2081036000", "2095797625", "2512270365", "2596510737" ], "abstract": "formal closed models for vehicular traffic flow are obtained based on the novel equilibrium solution of the prigogine herman equation to that effect hilbert and chapman enskog asymptotic series expansions are employed obtaining the euler and navier stokes equivalent equations for traffic flow", "title_raw": "Formal Asymptotic Models of Vehicular Traffic. Model Closures", "abstract_raw": "Formal closed models for vehicular traffic flow are obtained based on the novel equilibrium solution of the Prigogine--Herman equation. To that effect, Hilbert and Chapman--Enskog asymptotic series expansions are employed, obtaining the Euler and Navier--Stokes equivalent equations for traffic flow." }, { "paper": "2063388524", "venue": "3006183880", "year": "2003", "title": "polarization phase relationships via multiple morse wavelets ii data analysis", "label": [ "134306372", "102519508", "45374587" ], "author": [ "1887548581", "2108173165" ], "reference": [ "2007729040", "2014024219", "2036380861", "2071692307", "2075165345" ], "abstract": "three examples are provided of the use of multiple generalized morse wavelets for polarization analysis of three component recordings where phase relationships between components of the signal are transient the example three component signals are i synthetic ii the radial transverse and vertical components of an earthquake and iii the radial transverse and normal components of the solar magnetic field measured by the ulysses spacecraft upstream of an interplanetary shock working in the scale time plane a b the multiple wavelet approach detects coherent motion with elliptical polarization in all three cases our graphical presentations fully take into account restrictions imposed by two factors the minimum usable scale and wraparound effects caused by fourier transform computations and consequently a maximum usable scale", "title_raw": "Polarization phase relationships via multiple Morse wavelets. II. Data analysis", "abstract_raw": "Three examples are provided of the use of multiple generalized Morse wavelets for polarization analysis of three\u2013component recordings where phase relationships between components of the signal are transient. The example three\u2013component signals are (i) synthetic, (ii) the radial, transverse and vertical components of an earthquake, and (iii) the radial, transverse and normal components of the solar magnetic field measured by the Ulysses spacecraft upstream of an interplanetary shock. Working in the scale\u2013time plane ( a,b ), the multiple\u2013wavelet approach detects coherent motion with elliptical polarization in all three cases. Our graphical presentations fully take into account restrictions imposed by two factors: the minimum usable scale, and wraparound effects caused by Fourier transform computations, and consequently a maximum usable scale." }, { "paper": "2052544487", "venue": "11296630", "year": "2003", "title": "coupled mode solutions in the complex plane and benchmarking with the parabolic equation method", "label": [ "47422493", "134306372", "179117685", "104416048", "182365436", "128981478", "194145944" ], "author": [ "2328050493", "2057914233", "2232757743" ], "reference": [], "abstract": "a complex plane extension of a previously developed two way coupled mode model is presented coupling coefficients based on horizontal layer propagators using complex airy solutions are evaluated analytically stotts j acoust soc am 111 1623 1643 2002 this approach significantly reduces memory storage requirements and improves the computational efficiency over numerical depth integration for the coefficients the integral equation method introduced by knobles j acoust soc am 96 1741 1747 1994 is used to solve the coupled equations benchmarking with the parabolic equation pe approach will be presented for several examples including the asa continental shelf benchmark and up slope down slope wedge propagation since tappert s introduction pe has been accepted as the de facto model for range variable calculations nevertheless having an independent verification by a normal mode model for general environments is advantageous differences between real and complex k plane solutions are emphasized comparisons to numerically calculated key quantities are presented application to a range dependent data set recorded recently off the coast of florida is discussed", "title_raw": "Coupled\u2010mode solutions in the complex plane and benchmarking with the parabolic equation method", "abstract_raw": "A complex plane extension of a previously developed two\u2010way coupled mode model is presented. Coupling coefficients based on horizontal layer propagators using complex Airy solutions are evaluated analytically [Stotts, J. Acoust. Soc. Am. 111, 1623\u20131643 (2002)]. This approach significantly reduces memory storage requirements and improves the computational efficiency over numerical depth integration for the coefficients. The integral equation method introduced by Knobles [J. Acoust. Soc. Am. 96, 1741\u20131747 (1994)] is used to solve the coupled equations. Benchmarking with the parabolic equation (PE) approach will be presented for several examples including the ASA continental shelf benchmark and up\u2010slope/down\u2010slope wedge propagation. Since Tappert\u2019s introduction, PE has been accepted as the de\u2010facto model for range variable calculations. Nevertheless, having an independent verification by a normal mode model for general environments is advantageous. Differences between real and complex k\u2010plane solutions are emphasized. Comparisons to numerically calculated key quantities are presented. Application to a range\u2010dependent data set recorded recently off the coast of Florida is discussed." }, { "paper": "2102950178", "venue": "55826652", "year": "2003", "title": "an escape time criterion for queueing networks asymptotic risk sensitive control via differential games", "label": [ "22684755", "2777423538", "2779006483", "78278912", "2776291640", "126255220", "170131372", "151201525" ], "author": [ "688524876", "2102189314", "2115566128" ], "reference": [ "197328727", "1487586009", "1964272258", "1966660110", "1968699588", "1968914645", "1973255061", "1975736346", "2009349041", "2019756755", "2035234798", "2041459929", "2059442555", "2060719719", "2063664948", "2066854468", "2067830577", "2087002964", "2102739878", "2105981945", "2117843344", "2141616022", "2331002104", "2502318419" ], "abstract": "we consider the problem of risk sensitive control of a stochastic network in controlling such a network an escape time criterion can be useful if one wishes to regulate the occurrence of large buffers and buffer overflow in this paper a risk sensitive escape time criterion is formulated which in comparison to the ordinary escape time criteria penalizes exits that occur on short time intervals more heavily the properties of the risk sensitive problem are studied in the large buffer limit and related to the value of a deterministic differential game with constrained dynamics we prove that the game has value and that the value is the viscosity solution of a pde for a simple network the value is computed demonstrating the applicability of the approach", "title_raw": "An Escape-Time Criterion for Queueing Networks: Asymptotic Risk-Sensitive Control via Differential Games", "abstract_raw": "We consider the problem of risk-sensitive control of a stochastic network. In controlling such a network, an escape-time criterion can be useful if one wishes to regulate the occurrence of large buffers and buffer overflow. In this paper a risk-sensitive escape time criterion is formulated, which in comparison to the ordinary escape-time criteria penalizes exits that occur on short time intervals more heavily. The properties of the risk-sensitive problem are studied in the large buffer limit and related to the value of a deterministic differential game with constrained dynamics. We prove that the game has value and that the value is the (viscosity) solution of a PDE. For a simple network, the value is computed, demonstrating the applicability of the approach." }, { "paper": "2010020165", "venue": "40006715", "year": "2003", "title": "a computational approach to handle complex microstructure geometries", "label": [ "24810621", "459310", "2524010", "31487907" ], "author": [ "2245129834", "2609241328", "2308417877", "2058237403" ], "reference": [ "194504467", "1238092070", "1547249381", "1676467742", "1984332354", "1989581196", "1998745245", "2025019155", "2025759093", "2027821677", "2034222383", "2039720001", "2043533888", "2060268675", "2061925329", "2092011174", "2098258814", "2108991092", "2112311198", "2131149455", "2142596047", "2165834163", "2168041082" ], "abstract": "in multiscale analysis of components there is usually a need to solve microstructures with complex geometries in this paper we use the extended finite element method x fem to solve scales involving complex geometries the x fem allows one to use meshes not necessarily matching the physical surface of the problem while retaining the accuracy of the classical finite element approach for material interfaces this is achieved by introducing a new enrichment strategy although the mesh does not need to conform to the physical surfaces it needs to be fine enough to capture the geometry of these surfaces a simple algorithm is described to adaptively refine the mesh to meet this geometrical requirement numerical experiments on the periodic homogenization of two phase complex cells demonstrate the accuracy and simplicity of the x fem c 2003 elsevier b v all rights reserved", "title_raw": "A computational approach to handle complex microstructure geometries", "abstract_raw": "In multiscale analysis of components, there is usually a need to solve microstructures with complex geometries. In this paper, we use the extended finite element method (X-FEM) to solve scales involving complex geometries. The X-FEM allows one to use meshes not necessarily matching the physical surface of the problem while retaining the accuracy of the classical finite element approach. For material interfaces, this is achieved by introducing a new enrichment strategy. Although the mesh does not need to conform to the physical surfaces, it needs to be fine enough to capture the geometry of these surfaces. A simple algorithm is described to adaptively refine the mesh to meet this geometrical requirement. Numerical experiments on the periodic homogenization of two-phase complex cells demonstrate the accuracy and simplicity of the X-FEM. (C) 2003 Elsevier B.V. All rights reserved." }, { "paper": "2013904594", "venue": "90727058", "year": "2003", "title": "a loopless algorithm for generating the permutations of a multiset", "label": [ "129861397", "10927425", "118615104", "114614502", "2779623528", "2781228802", "147849574", "34718186" ], "author": [ "2051498827" ], "reference": [ "1593497965", "1892152940", "1971619037", "1975018185", "1996058051", "2016128047", "2040950542", "2043732992", "2044338030", "2046815858", "2089182307", "2089687380", "2101671976", "2109410667", "2113358778", "2124807672" ], "abstract": "many combinatorial structures can be constructed from simpler components for example a permutation can be constructed from cycles or a motzkin word from a dyck word and a combination in this paper we present a constructor for combinatorial structures called shuffle on trajectories defined previously in a non combinatorial context and we show how this constructor enables us to obtain a new loopless generating algorithm for multiset permutations from similar results for simpler objects", "title_raw": "A loopless algorithm for generating the permutations of a multiset", "abstract_raw": "Many combinatorial structures can be constructed from simpler components. For example, a permutation can be constructed from cycles, or a Motzkin word from a Dyck word and a combination. In this paper we present a constructor for combinatorial structures, called shuffle on trajectories (defined previously in a non-combinatorial context), and we show how this constructor enables us to obtain a new loopless generating algorithm for multiset permutations from similar results for simpler objects." }, { "paper": "2099209065", "venue": "203348814", "year": "2003", "title": "adaptive wavelet schemes for nonlinear variational problems", "label": [ "158622935", "181789720", "106214006", "85189116", "120174047", "126255220", "28826006" ], "author": [ "2187997294", "2159371596" ], "reference": [ "600139552", "1547403762", "1592302237", "1971642513", "1972883869", "1980036126", "1988406495", "1989701919", "2008457246", "2010573661", "2015219711", "2034167241", "2045050233", "2048834141", "2071036364", "2075085615", "2079275676", "2082131680", "2084743165", "2109400831", "2171601402", "2594169092" ], "abstract": "we develop and analyze wavelet based adaptive schemes for nonlinear variational problems we derive estimates for convergence rates and corresponding work counts that turn out to be asymptotically optimal our approach is based on a new paradigm that has been put forward recently for a class of linear problems the original problem is transformed first into an equivalent one which is well posed in the euclidean metric ell 2 then conceptually one seeks iteration schemes for the infinite dimensional problem that exhibits at least a fixed error reduction per step this iteration is then realized approximately through an adaptive application of the involved operators with suitable dynamically updated accuracy tolerances the main conceptual ingredients center around nonlinear tree approximation and the sparse evaluation of nonlinear mappings of wavelet expansions we prove asymptotically optimal complexity for adaptive realizations of first order iterations and of newton s method", "title_raw": "Adaptive Wavelet Schemes for Nonlinear Variational Problems", "abstract_raw": "We develop and analyze wavelet based adaptive schemes for nonlinear variational problems. We derive estimates for convergence rates and corresponding work counts that turn out to be asymptotically optimal. Our approach is based on a new paradigm that has been put forward recently for a class of linear problems. The original problem is transformed first into an equivalent one which is well posed in the Euclidean metric $\\ell_2$. Then conceptually one seeks iteration schemes for the infinite dimensional problem that exhibits at least a fixed error reduction per step. This iteration is then realized approximately through an adaptive application of the involved operators with suitable dynamically updated accuracy tolerances. The main conceptual ingredients center around nonlinear tree approximation and the sparse evaluation of nonlinear mappings of wavelet expansions. We prove asymptotically optimal complexity for adaptive realizations of first order iterations and of Newton's method." }, { "paper": "2120094609", "venue": "165473669", "year": "2003", "title": "contiguous relations of hypergeometric series", "label": [ "148160416", "197320386", "165175332", "202444582", "182078607", "181881257", "60400383", "92941272", "158241908" ], "author": [ "2476543404" ], "reference": [ "1981663184", "1997164424", "1998594116", "2318946948", "2752853835" ], "abstract": "the 15 gauss contiguous relations for 2f1 hypergeometric series imply that any three 2f1 series whose corresponding parameters differ by integers are linearly related over the field of rational functions in the parameters we prove several properties of coefficients of these general contiguous relations and use the results to propose effective ways to compute contiguous relations we also discuss contiguous relations of generalized and basic hypergeometric functions and several applications of them", "title_raw": "Contiguous relations of hypergeometric series", "abstract_raw": "The 15 Gauss contiguous relations for 2F1 hypergeometric series imply that any three 2F1 series whose corresponding parameters differ by integers are linearly related (over the field of rational functions in the parameters). We prove several properties of coefficients of these general contiguous relations, and use the results to propose effective ways to compute contiguous relations. We also discuss contiguous relations of generalized and basic hypergeometric functions, and several applications of them." }, { "paper": "2027722300", "venue": "165473669", "year": "2003", "title": "a mixed measure of content on the set of real numbers", "label": [ "178042281", "110729354", "102065156", "204154756", "21634796", "85435267", "2777105136", "118615104", "55375708" ], "author": [ "2624254797" ], "reference": [ "578174929", "1579549043", "1987351746", "1992490931", "2033810643", "2059975159", "2061034283", "2075693023", "2081522710", "2082167663", "2088300524", "2163952039", "3138771162" ], "abstract": "the counting measure applies only on countable subsets of the set of real numbers on the other hand the lebesgue measure applies on any countable union of intervals but ignores countable subsets since it assigns to them a null weight indiscriminately this paper proposes a measure of content which applies on finite unions of intervals and enables to differentiate finite sets this measure of content is shown to be a choquet capacity furthermore extension onto the system of all subsets of the real number set is discussed and ideas for generalization to the multidimensional space are presented a class of content based measures of comparison is also suggested along with a discussion of some of their basic properties", "title_raw": "A mixed measure of content on the set of real numbers", "abstract_raw": "The counting measure applies only on countable subsets of the set of real numbers. On the other hand, the Lebesgue measure applies on any countable union of intervals but ignores countable subsets since it assigns to them a null weight indiscriminately. This paper proposes a measure of content which applies on finite unions of intervals and enables to differentiate finite sets. This measure of content is shown to be a Choquet capacity. Furthermore, extension onto the system of all subsets of the real number set is discussed and ideas for generalization to the multidimensional space are presented. A class of content-based measures of comparison is also suggested, along with a discussion of some of their basic properties." }, { "paper": "2150825574", "venue": "61604500", "year": "2003", "title": "the interacting gaps model reconciling theoretical and numerical approaches to limit order models", "label": [ "110121322", "29912722", "87040749", "151201525", "137635306", "125932096" ], "author": [ "2012482624", "1496225323", "3174826998" ], "reference": [ "1493213957", "1537415400", "1969736255", "1979491167", "1986924101", "2019322277", "2020563672", "2040119797", "2043478133", "2060811093", "2091164728", "2091653681", "2125725371", "2156379174", "3104551016", "3123880662", "3124461367", "3125113634" ], "abstract": "we consider the emergence of power law tails in the returns distribution of limit order driven markets we explain a previously observed clash between the theoretical and numerical studies of such models we introduce a solvable model that interpolates between the previous studies and agrees with each of them in the relevant limit c", "title_raw": "The interacting gaps model: reconciling theoretical and numerical approaches to limit-order models", "abstract_raw": "We consider the emergence of power-law tails in the returns distribution of limit-order driven markets. We explain a previously observed clash between the theoretical and numerical studies of such models. We introduce a solvable model that interpolates between the previous studies and agrees with each of them in the relevant limit. c" }, { "paper": "2018783370", "venue": "159544283", "year": "2003", "title": "the rank constrained hermitian nonnegative definite and positive definite solutions to the matrix equation axa b", "label": [ "125565743", "202444582", "135909967", "94940", "113313756", "54848796", "49712288", "169756996", "4263655", "22789450" ], "author": [ "2582072725", "2685715237" ], "reference": [ "1602049633", "1980093244", "2000234192", "2015155239", "2083440647", "2145229729" ], "abstract": "abstract a simple representation of the general rank constrained hermitian nonnegative definite positive definite solution to the matrix equation axa b is derived as medium steps the general hermitian solution and the general hermitian nonnegative definite positive definite solution to the matrix equation are also obtained the proposed approach is different from those which we have known and possesses good numerical reliability since it mainly involves only two singular value decompositions and inverses of two positive definite diagonal matrices the presented example illustrates the proposed approach", "title_raw": "The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation AXA \u2217 = B", "abstract_raw": "Abstract A simple representation of the general rank-constrained Hermitian nonnegative-definite (positive-definite) solution to the matrix equation AXA \u2217 =B is derived. As medium steps, the general Hermitian solution and the general Hermitian nonnegative-definite (positive-definite) solution to the matrix equation are also obtained. The proposed approach is different from those which we have known, and possesses good numerical reliability since it mainly involves only two singular value decompositions and inverses of two positive-definite diagonal matrices. The presented example illustrates the proposed approach." }, { "paper": "2073715002", "venue": "79244937", "year": "2003", "title": "realizations of real low dimensional lie algebras", "label": [ "518143113", "174696410", "203946495", "5106717", "186489112", "73648015", "99634282", "197273675", "125565743" ], "author": [ "689950149", "2087059359", "2107346709", "301027385" ], "reference": [ "3985862", "7785846", "78099799", "107814698", "166221544", "1533708179", "1556479364", "1607783778", "1638783761", "1711985601", "1964200866", "1964331057", "1971561274", "1976307642", "1978975367", "1984409840", "1991264298", "1993946121", "2000989977", "2007710005", "2007992829", "2008579426", "2017348994", "2017448866", "2017556763", "2022467296", "2022510360", "2024734434", "2033896893", "2048416230", "2048864540", "2050811035", "2052210756", "2052983916", "2060087587", "2061028827", "2064121460", "2069185213", "2069431039", "2073018201", "2075106860", "2076296602", "2080895010", "2082122398", "2084128237", "2086823466", "2087037392", "2097581170", "2103399465", "2117910029", "2129736495", "2131825920", "2135091823", "2135727140", "2138354539", "2160452678", "2168350108", "2335575030", "2373269823", "3098357195", "3098604937", "3098701836" ], "abstract": "using a new powerful technique based on the notion of megaideal we construct a complete set of inequivalent realizations of real lie algebras of dimension no greater than four in vector fields on a space of an arbitrary finite number of variables our classification amends and essentially generalizes earlier works on the subject", "title_raw": "Realizations of real low-dimensional Lie algebras", "abstract_raw": "Using a new powerful technique based on the notion of megaideal, we construct a complete set of inequivalent realizations of real Lie algebras of dimension no greater than four in vector fields on a space of an arbitrary (finite) number of variables. Our classification amends and essentially generalizes earlier works on the subject." }, { "paper": "2027464180", "venue": "127742747", "year": "2003", "title": "bayesian bootstrap multivariate regression", "label": [ "95923904", "64946054", "177769412", "37903108", "158424031", "105795698", "161584116", "89106044", "2778963538" ], "author": [ "141731679", "1858413244" ], "reference": [ "1984457100", "1988667284", "2001994823", "2003417169", "2003804951", "2016130389", "2042474113", "2043457572", "2052082221", "2057565703", "2063654836", "2076874589", "2086683118", "2109690032", "2117897510", "2118776465", "2122480349", "2142418702", "2256075884", "2327088997", "2328855899", "2367144581", "2413197791", "2797066837", "2800264802", "2895270050", "2905400547", "2913480795", "3015217870" ], "abstract": "a bayesian bootstrap multivariate regression bbmr procedure is presented that allows robust bayesian analysis of multivariate regression models bbmr does not require a parametric specification for the likelihood function and instead uses a bootstrapped likelihood based on the sampling distribution of location and scale estimators a mixing algorithm for implementing the procedure automatically incorporates the scale invariant ignorance prior on the covariance matrix bbmr can be implemented as a generic algorithm in standard statistical software independently of the actual choice of prior distribution monte carlo evidence is provided showing accuracy and robustness of the approach in representing posterior distributions", "title_raw": "Bayesian bootstrap multivariate regression", "abstract_raw": "A Bayesian bootstrap multivariate regression (BBMR) procedure is presented that allows robust Bayesian analysis of multivariate regression models. BBMR does not require a parametric specification for the likelihood function and instead uses a bootstrapped likelihood based on the sampling distribution of location and scale estimators. A mixing algorithm for implementing the procedure automatically incorporates the scale invariant ignorance prior on the covariance matrix. BBMR can be implemented as a generic algorithm in standard statistical software independently of the actual choice of prior distribution. Monte Carlo evidence is provided showing accuracy and robustness of the approach in representing posterior distributions." }, { "paper": "2039767239", "venue": "8265502", "year": "2003", "title": "binomial regression with misclassification", "label": [ "41587187", "105795698", "114494560", "149782125" ], "author": [ "2164759275", "2566635573", "2151578107" ], "reference": [ "1584127072", "1969547157", "1991135683", "2016749497", "2024315245", "2045102602", "2045656233", "2061037543", "2069739265", "2087274894", "2125223938", "2152977846", "2157244032", "2248946538", "3145167355" ], "abstract": "motives par l etude de l infection a virus papilloma humain chez la femme nous presentons une analyse de regression binomiale bayesienne dans laquelle la reponse est sujette a un processus d erreur de classement sans contrainte notre approche iterative fournit des inferences pour les parametres qui decrivent la relation des covariables avec la reponse et pour les probabilites d erreur de classement de plus notre approche s applique a n importe quel modele lineaire generalise pertinent rendant possible la selection de modele et il est immediat de l etendre a un contexte multinomial", "title_raw": "Binomial regression with misclassification.", "abstract_raw": "Motives par l'etude de l'infection a virus papilloma humain chez la femme, nous presentons une analyse de regression binomiale bayesienne dans laquelle la reponse est sujette a un processus d'erreur de classement sans contrainte. Notre approche iterative fournit des inferences pour les parametres qui decrivent la relation des covariables avec la reponse, et pour les probabilites d'erreur de classement. De plus, notre approche s'applique a n'importe quel modele lineaire generalise pertinent, rendant possible la selection de modele, et il est immediat de l'etendre a un contexte multinomial." }, { "paper": "2371859748", "venue": "122441808", "year": "2003", "title": "quasineutral limit of a nonlinear drift diffusion model for semiconductors the fast diffusion case", "label": [ "158622935", "18648836", "70567897" ], "author": [ "2383212714" ], "reference": [], "abstract": "the limit of vanishing debye length charge neutral limit in a nonlinear bipolar drift diffusion model for semiconductors without pn junction i e with a unipolar background charge is studied the quasineutral limit zero debye length limit for the fast diffusion case is performed rigorously by using the compactness argument and the so called entropy functional which yields appropriate uniform estimates", "title_raw": "Quasineutral Limit of a Nonlinear Drift Diffusion Model for Semiconductors: The Fast Diffusion Case", "abstract_raw": "The limit of vanishing Debye length (charge neutral limit) in a nonlinear bipolar drift-diffusion model for semiconductors without pn-junction (i.e. with a unipolar background charge) is studied. The quasineutral limit (zero-Debye-length limit) for the fast diffusion case is performed rigorously by using the compactness argument and the so-called entropy functional which yields appropriate uniform estimates." }, { "paper": "2139062243", "venue": "50372074", "year": "2003", "title": "canonical coordinates method for equality constrained nonlinear optimization", "label": [ "126255220", "2778770139", "115527620", "80551277", "55660270", "158622935", "48753275", "11413529" ], "author": [ "2974384037", "2973734974" ], "reference": [ "2572016", "8821478", "628038213", "1488781340", "1509343694", "1601541039", "1606500742", "1864271624", "1973043491", "1976231053", "1979490178", "1983443215", "1985978629", "1989033306", "1992110402", "2013315229", "2028342559", "2033758151", "2038904236", "2042398689", "2048632019", "2069372244", "2074145107", "2074879283", "2076067331", "2077658674", "2080419468", "2088986191", "2090963365", "2137837586", "2149416133", "2162747898", "2186590998", "2787523326", "2797819118", "2798766386", "2798922842" ], "abstract": "feasible points methods have several appealing advantages over the infeasible points methods for solving equality constrained nonlinear optimization problems the known feasible points methods however solve often large systems of nonlinear constraint equations in each step in order to maintain feasibility solving nonlinear equations in each step not only slows down the algorithms considerably but also the large amount of floating point computation involved introduces considerable numerical inaccuracy into the overall computation as a result the commercial software packages for equality constrained optimization are slow and not numerically robust we present a radically new approach to maintaining feasibility called the canonical coordinates method ccm the ccm unlike previous methods does not adhere to the coordinate system used in the problem specification rather as the algorithm progresses ccm dynamically chooses in each step a coordinate system that is most appropriate for describing the local geometry around the current iterate by dynamically changing the coordinate system to suit the local geometry the ccm is able to maintain feasibility in equality constrained nonlinear optimization without having to solve systems of nonlinear equations we describe the ccm and present a proof of its convergence we also present a few numerical examples which show that ccm can solve in very few iterations problems that cannot be solved using the commercial nlp solver in matlab 6 1", "title_raw": "Canonical coordinates method for equality-constrained nonlinear optimization", "abstract_raw": "Feasible-points methods have several appealing advantages over the infeasible-points methods for solving equality-constrained nonlinear optimization problems. The known feasible-points methods however solve, often large, systems of nonlinear constraint equations in each step in order to maintain feasibility. Solving nonlinear equations in each step not only slows down the algorithms considerably, but also the large amount of floating-point computation involved introduces considerable numerical inaccuracy into the overall computation. As a result, the commercial software packages for equality-constrained optimization are slow and not numerically robust. We present a radically new approach to maintaining feasibility--called the canonical coordinates method (CCM). The CCM, unlike previous methods, does not adhere to the coordinate system used in the problem specification. Rather, as the algorithm progresses CCM dynamically chooses, in each step, a coordinate system that is most appropriate for describing the local geometry around the current iterate. By dynamically changing the coordinate system to suit the local geometry, the CCM is able to maintain feasibility in equality-constrained nonlinear optimization without having to solve systems of nonlinear equations. We describe the CCM and present a proof of its convergence. We also present a few numerical examples which show that CCM can solve, in very few iterations, problems that cannot be solved using the commercial NLP solver in MATLAB 6.1." }, { "paper": "2010674938", "venue": "184954342", "year": "2003", "title": "comments and further results on a descriptor system approach to h sub spl infin control of linear time delay systems", "label": [ "17500928", "311688", "6802819", "159694833", "65244806", "107645828" ], "author": [ "2107584790", "2797029765" ], "reference": [ "1547514605", "1563521622", "1590955918", "2007784570", "2051591980", "2054534795", "2059437414", "2103774239", "2104702455", "2126999594", "2131406112", "2138880285", "2181352856" ], "abstract": "this paper presents some comments and further results concerning the descriptor system approach to h sub spl infin control of linear time delay systems upon the system model of the paper by fridman and shaked 2001 we propose a new iterative state feedback controller design procedure which is based on a new bounded real lemma derived upon an inequality recently proposed by moon 2001 the proposed design solves both the instantaneous and delayed feedback problems in a unified framework and is illustrated by a numerical example to be much less conservative than the above paper and other relevant references", "title_raw": "Comments and further results on \"A descriptor system approach to H/sub /spl infin// control of linear time-delay systems\"", "abstract_raw": "This paper presents some comments and further results concerning the descriptor system approach to H/sub /spl infin// control of linear time-delay systems. Upon the system model of the paper by Fridman and Shaked (2001), we propose a new iterative state-feedback controller design procedure, which is based on a new bounded real lemma derived upon an inequality recently proposed by Moon (2001). The proposed design solves both the instantaneous and delayed feedback problems in a unified framework, and is illustrated by a numerical example to be much less conservative than the above paper and other relevant references." }, { "paper": "1527074314", "venue": "60030702", "year": "2003", "title": "heegner zeros of theta functions", "label": [ "179603306", "169654258", "125565743", "2777215656", "78397625", "105546189", "75764964", "179904766", "202444582" ], "author": [ "2713316697", "2163048955" ], "reference": [ "1529471319", "1986318578", "1989751075", "2010743476", "2014191379", "2021233896", "2031608652", "2048381158", "2066137349", "2069122556", "2090154643", "2117587575", "2118459202", "2598051711", "2598207087", "3175367423" ], "abstract": "heegner divisors play an important role in number theory however little is known on whether a modular form has heegner zeros in this paper we start to study this question for a family of classical theta functions and prove a quantitative result which roughly says that many of these theta functions have a heegner zero of discriminant 7 this leads to some interesting questions on the arithmetic of certain elliptic curves which we also address here", "title_raw": "Heegner zeros of theta functions", "abstract_raw": "Heegner divisors play an important role in number theory. However, little is known on whether a modular form has Heegner zeros. In this paper, we start to study this question for a family of classical theta functions, and prove a quantitative result, which roughly says that many of these theta functions have a Heegner zero of discriminant -7. This leads to some interesting questions on the arithmetic of certain elliptic curves, which we also address here." }, { "paper": "2080794004", "venue": "122441808", "year": "2003", "title": "on tensor categories of lie type en n 9", "label": [ "114614502", "2778672811", "73648015", "125565743", "186489112", "75174853", "51568863", "58910974", "5106717", "195592935" ], "author": [ "2112418416" ], "reference": [ "1513992157", "1539091812", "1557213917", "1575319242", "1966422925", "1981291134", "1993569590", "1994218711", "1994510361", "2002430810", "2012161907", "2060418818", "2075359953", "2086681482", "2117804714", "2165392895", "2505336771", "2612451553", "2789563691", "2810690387", "2963647911", "2977365099", "2993571908" ], "abstract": "let v be the minuscule representation of the lie algebra g en n 6 7 we show that the centralizer of the action of the quantum group uqg en on v n is generated by the r matrices and one additional element appearing in the n 1 st tensor power a similar description can be given for the classical limit an analogous statement is true for a certain direct summand of v n for uqg en with n 5 n 9 here v is the module whose highest weight is the fundamental weight labeled by the vertex furthest from the triple point of the graph en moreover we obtain a 2 parameter family of braid representations generalizing a q version of the brauer centralizer algebras", "title_raw": "On tensor categories of Lie Type EN,N\u22609\u2606", "abstract_raw": "Let V be the minuscule representation of the Lie algebra g(EN), N=6,7. We show that the centralizer of the action of the quantum group Uqg(EN) on V\u2297n is generated by the R-matrices and one additional element, appearing in the (N\u22121)st tensor power; a similar description can be given for the classical limit. An analogous statement is true for a certain direct summand of V\u2297n for Uqg(EN) with N>5,N\u22609; here V is the module whose highest weight is the fundamental weight labeled by the vertex furthest from the triple point of the graph EN. Moreover, we obtain a 2-parameter family of braid representations generalizing a q-version of the Brauer centralizer algebras." }, { "paper": "2036655429", "venue": "3006183880", "year": "2003", "title": "the dilogarithm function for complex argument", "label": [ "62884695", "165175332", "165199370", "58442840", "186934003", "148421525", "202444582", "158241908", "92941272" ], "author": [ "1687885659" ], "reference": [ "266290776", "794626320", "1488862788", "1563216928", "1967251385", "1995563554", "2002649361", "2003115626", "2014315805", "2046241769", "2056297343", "2057300065", "2063616488", "2080499194", "2081194465", "2084323770", "2099384811", "2177936514", "2328027186", "2330548796", "2342606073", "2959357618", "2970174909", "3037761614", "3197514537" ], "abstract": "this paper summarizes the basic properties of the euler dilogarithm function often referred to as the spence function these include integral representations series expansions linear and quadrat", "title_raw": "The dilogarithm function for complex argument", "abstract_raw": "This paper summarizes the basic properties of the Euler dilogarithm function, often referred to as the Spence function. These include integral representations, series expansions, linear and quadrat..." }, { "paper": "2008020462", "venue": "151579836", "year": "2003", "title": "existence uniqueness and homogenization of the second order slip reynolds equation", "label": [ "2777021972", "61445026", "134306372", "93779851", "72169020" ], "author": [ "1977780192", "2155150332" ], "reference": [ "249283481", "1516681311", "1866311589", "1970967397", "1976229651", "1982073846", "2027239222", "2047009654", "2053972056", "2058525299", "2081940162", "2116801612", "2159342824", "2287766569", "2321926342", "2337336439", "2922281345" ], "abstract": "the decreasing of the distance between the head and the magnetic disk surface leads to a model of the behaviour of the air by using a modified reynolds equation the existence and the uniqueness of this stationary equation is under some conditions on the data proved using both fixed point and monotonicity techniques double scale analysis allows us to obtain the associated homogenized equation", "title_raw": "Existence, uniqueness, and homogenization of the second order slip Reynolds equation", "abstract_raw": "The decreasing of the distance between the head and the magnetic disk surface leads to a model of the behaviour of the air by using a modified Reynolds equation. The existence and the uniqueness of this stationary equation is, under some conditions on the data, proved using both fixed point and monotonicity techniques. Double-scale analysis allows us to obtain the associated homogenized equation." }, { "paper": "2018336966", "venue": "79244937", "year": "2003", "title": "isometries of quantum states", "label": [ "202444582", "191226916", "2776297801", "127104897", "111219935", "196613150", "41261874", "84160026", "116251930", "134306372" ], "author": [ "2160225995", "2583306707" ], "reference": [ "1512130665", "1597741994", "1621050367", "1965269067", "2023934727", "2074815064", "2075815161", "2092716687", "2101926530", "2123620540", "2132384201", "3098146212" ], "abstract": "this paper treats the isometries of metric spaces of quantum states in fact we consider two metrics on the set of all quantum states namely the bures metric and that which comes from the trace norm we describe all the corresponding nonlinear isometries and also present similar results concerning the space of all non normalized density operators", "title_raw": "Isometries of quantum states", "abstract_raw": "This paper treats the isometries of metric spaces of quantum states. In fact, we consider two metrics on the set of all quantum states, namely the Bures metric and that which comes from the trace-norm. We describe all the corresponding (nonlinear) isometries and also present similar results concerning the space of all (non-normalized) density operators." }, { "paper": "2015824593", "venue": "148709879", "year": "2003", "title": "a characteristic wise hybrid compact weno scheme for solving hyperbolic conservation laws", "label": [ "134306372", "28826006", "134466208", "38349280", "3445786", "146705398", "15627037" ], "author": [ "2128207196", "2223173763", "2427231052" ], "reference": [ "157107253", "1973481688", "1975411544", "1978861884", "1994516769", "1999399767", "2002336174", "2015084079", "2019582456", "2039150507", "2046825786", "2048941652", "2054662916", "2079635318", "2084423291", "2142471360" ], "abstract": "this paper presents a fifth order conservative hybrid compact weno scheme for shock capturing calculation the hybrid scheme is considered as the weighted average of two sub schemes the conservative compact scheme proposed by pirozzoli and the weno scheme the weight function is designed so that the abrupt transition from one sub scheme to another is avoided and the resulting hybrid scheme is essentially oscillation free near the flow discontinuities a roe type characteristic wise finite difference scheme is proposed which generalizes the hybrid scheme for the scalar equation to the system of conservation laws several test cases are presented to validate the proposed scheme", "title_raw": "A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws", "abstract_raw": "This paper presents a fifth-order conservative hybrid compact-WENO scheme for shock-capturing calculation. The hybrid scheme is considered as the weighted average of two sub-schemes: the conservative compact scheme proposed by Pirozzoli and the WENO scheme. The weight function is designed so that the abrupt transition from one sub-scheme to another is avoided and the resulting hybrid scheme is essentially oscillation free near the flow discontinuities. A Roe type, characteristic-wise finite difference scheme is proposed which generalizes the hybrid scheme for the scalar equation to the system of conservation laws. Several test cases are presented to validate the proposed scheme." }, { "paper": "2035557995", "venue": "61604500", "year": "2003", "title": "influence of impurities on the dynamics and synchronization of coupled map lattices", "label": [ "135789939", "200106649", "129168087", "89957378", "21137201" ], "author": [ "1977187087", "3067393877", "2272877058", "2087611762" ], "reference": [ "195351151", "1573750768", "1652087296", "1983153525", "1983616884", "2002496965", "2007134925", "2013100394", "2020244640", "2044241555", "2056575055", "2070578191", "2073505151", "2082457558", "2083734145", "2084813454", "2970323723" ], "abstract": "abstract the influence of impurities and defects on the dynamics and synchronization of coupled map lattices cml is studied in the context of cml we define impurities as sites in the lattice which have another local dynamics that from the whole lattice and defects as sites in the lattice without any dynamics we show that synchronization and spatial intermittence are obtained as a function of the number of impurities present on a one dimensional lattice we also derive an analytical condition for a signal to transpose an impurity for open flow models we show that not only the presence of the impurity but also its position along the lattice and its local dynamics can be used to manipulate the lattice in order to obtain a regular or irregular motion we also show how defects can be used to store information in a lattice", "title_raw": "Influence of impurities on the dynamics and synchronization of coupled map lattices", "abstract_raw": "Abstract The influence of impurities and defects on the dynamics and synchronization of coupled map lattices (CML) is studied. In the context of CML we define impurities as sites in the lattice which have another local dynamics that from the whole lattice and defects as sites in the lattice without any dynamics. We show that synchronization and spatial intermittence are obtained as a function of the number of impurities present on a one-dimensional lattice. We also derive an analytical condition for a signal to \u201ctranspose\u201d an impurity. For open flow models, we show that not only the presence of the impurity but also its position along the lattice and its local dynamics can be used to manipulate the lattice in order to obtain a regular or irregular motion. We also show how defects can be used to store information in a lattice." }, { "paper": "1968056670", "venue": "98347115", "year": "2003", "title": "generalized blocks for symmetric groups", "label": [ "149125091", "128622974", "64338288", "114614502", "109385661", "156903151", "80026077", "118615104", "54506234", "89152604" ], "author": [ "167279401", "2163065613", "2585975533" ], "reference": [ "1503154552", "1539812590", "1562279498", "1582023070", "1966831188", "1995461348", "2009207378", "2073359254", "2085431534", "2134984950", "2323434261", "2503354009" ], "abstract": "we study via character theoretic methods an l analogue of the modular representation theory of the symmetric group for an arbitrary integer l 2 we find that many of the invariants of the usual block theory ie when l is prime generalize in a natural fashion to this new context", "title_raw": "Generalized blocks for symmetric groups", "abstract_raw": "We study, via character-theoretic methods, an l-analogue of the modular representation theory of the symmetric group, for an arbitrary integer l\u22652. We find that many of the invariants of the usual block theory (ie. when l is prime) generalize in a natural fashion to this new context." }, { "paper": "1502621928", "venue": "35412551", "year": "2003", "title": "analysis of common attacks in public key cryptosystems based on low density parity check codes", "label": [ "58442840", "67692717", "203062551", "6295992" ], "author": [ "2002760085", "2206230956", "1278761251" ], "reference": [ "1527520754", "2117420234" ], "abstract": "the security and reliability of a class of public key cryptosystems against attacks by unauthorized parties who had acquired partial knowledge of one or more of the private key components and or of the message were discussed the standard statistical mechanical methods of dealing with diluted spin systems with replica symmetric considerations were analyzed the dynamical transition which defined decryption success in practical situation was studied the phase diagrams which showed the dynamical threshold as a function of the partial acquired knowledge of the private key were also presented", "title_raw": "Analysis of common attacks in public-key cryptosystems based on low-density parity-check codes.", "abstract_raw": "The security and reliability of a class of public-key cryptosystems against attacks by unauthorized parties, who had acquired partial knowledge of one or more of the private key components and/or of the message, were discussed. The standard statistical mechanical methods of dealing with diluted spin systems with replica symmetric considerations were analyzed. The dynamical transition which defined decryption success in practical situation was studied. The phase diagrams which showed the dynamical threshold as a function of the partial acquired knowledge of the private key were also presented." }, { "paper": "2109401351", "venue": "148709879", "year": "2003", "title": "a representation of curved boundaries for the solution of the navier stokes equations on a staggered three dimensional cartesian grid", "label": [ "203311528", "70976792", "62354387", "2524010", "43173174", "16038011", "182310444" ], "author": [ "2471198956", "2195508311", "2994528467" ], "reference": [ "1490630811", "1490635832", "1550922999", "1601755832", "1965134668", "1968136659", "1971293215", "1985814481", "1994060162", "2005539970", "2006309046", "2015108548", "2022385500", "2022438167", "2025128709", "2025874314", "2028441661", "2038785086", "2039567456", "2052487661", "2053366430", "2056570045", "2058018132", "2059257656", "2065932192", "2080085553", "2080516591", "2084584231", "2086941840", "2089311518", "2098920641", "2099150488", "2102754941", "2108941079", "2130754725", "2131536261", "2133145574", "2137702202", "2138404389", "2139528677", "2278302926", "2324967131", "2333669328", "2462124919", "2798757171", "3036479320" ], "abstract": "a method is presented for representing curved boundaries for the solution of the navier stokes equations on a non uniform staggered three dimensional cartesian grid the approach involves truncating the cartesian cells at the boundary surface to create new cells which conform to the shape of the surface we discuss in some detail the problems unique to the development of a cut cell method on a staggered grid methods for calculating the fluxes through the boundary cell faces for representing pressure forces and for calculating the wall shear stress are derived and it is verified that the new scheme retains second order accuracy in space in addition a novel cell linking method is developed which overcomes problems associated with the creation of small cells while avoiding the complexities involved with other cell merging approaches techniques are presented for generating the geometric information required for the scheme based on the representation of the boundaries as quadric surfaces the new method is tested for flow through a channel placed oblique to the grid and flow past a cylinder at re 40 and is shown to give significant improvement over a staircase boundary formulation finally it is used to calculate unsteady flow past a hemispheric protuberance on a plate at a reynolds number of 800 good agreement is obtained with experimental results for this flow", "title_raw": "A representation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid", "abstract_raw": "A method is presented for representing curved boundaries for the solution of the Navier-Stokes equations on a non-uniform, staggered, three-dimensional Cartesian grid. The approach involves truncating the Cartesian cells at the boundary surface to create new cells which conform to the shape of the surface. We discuss in some detail the problems unique to the development of a cut cell method on a staggered grid. Methods for calculating the fluxes through the boundary cell faces, for representing pressure forces and for calculating the wall shear stress are derived and it is verified that the new scheme retains second-order accuracy in space. In addition, a novel \"cell-linking\" method is developed which overcomes problems associated with the creation of small cells while avoiding the complexities involved with other cell-merging approaches. Techniques are presented for generating the geometric information required for the scheme based on the representation of the boundaries as quadric surfaces. The new method is tested for flow through a channel placed oblique to the grid and flow past a cylinder at Re = 40 and is shown to give significant improvement over a staircase boundary formulation. Finally, it is used to calculate unsteady flow past a hemispheric protuberance on a plate at a Reynolds number of 800. Good agreement is obtained with experimental results for this flow." }, { "paper": "1974475554", "venue": "3006183880", "year": "2003", "title": "linear hamiltonian hopf bifurcation for point group invariant perturbations of the 1 1 1 resonance", "label": [ "37914503", "86243350", "101225446", "189237950", "134306372", "85075877", "172435161", "55610538", "155092403" ], "author": [ "2119142936", "2252815317", "1897492263" ], "reference": [ "1819141834", "1967009718", "1972654970", "1973229708", "1975070910", "1980498166", "1993216286", "2002588121", "2047892648", "2066442887", "2076233615", "2088948066", "2099666213", "2109599407", "2121511041", "2127408079", "2154161819", "2168804782", "2170857837", "2798456356", "3004239172", "3021789130" ], "abstract": "we consider g x r invariant hamiltonians h on complex projective 2 space where g is a point group and r is the time reversal group we find the symmetry induced stationary points of h and classify them in terms of their linear stability we then determine those points that can undergo a linear hamiltonian hopf bifurcation", "title_raw": "Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the 1:1:1 resonance", "abstract_raw": "We consider G x R-invariant Hamiltonians H on complex projective 2-space, where G is a point group and R is the time-reversal group. We find the symmetry-induced stationary points of H and classify them in terms of their linear stability. We then determine those points that can undergo a linear Hamiltonian Hopf bifurcation." }, { "paper": "2001556612", "venue": "203348814", "year": "2003", "title": "a fast numerical method for the black scholes equation of american options", "label": [ "194483076", "48753275", "104859751", "182310444", "126255220", "2777600642", "205951836", "48395688", "163128081" ], "author": [ "2130217633", "2637555402" ], "reference": [ "1557238565", "1600624394", "1602967628", "1980997475", "2001819970", "2002729176", "2044777272", "2063458426", "2065956202", "2077791698", "2081650346", "2087412860", "2092046487", "2096554972", "2115261391", "2139327166", "2146612430", "2154955866", "3107392462" ], "abstract": "this paper introduces a fast numerical method for computing american option pricing problems governed by the black scholes equation the treatment of the free boundary is based on some properties of the solution of the black scholes equation an artificial boundary condition is also used at the other end of the domain the finite difference method is used to solve the resulting problem computational results are given for some american call option problems the results show that the new treatment is very efficient and gives better accuracy than the normal finite difference method", "title_raw": "A Fast Numerical Method for the Black--Scholes Equation of American Options", "abstract_raw": "This paper introduces a fast numerical method for computing American option pricing problems governed by the Black--Scholes equation. The treatment of the free boundary is based on some properties of the solution of the Black--Scholes equation. An artificial boundary condition is also used at the other end of the domain. The finite difference method is used to solve the resulting problem. Computational results are given for some American call option problems. The results show that the new treatment is very efficient and gives better accuracy than the normal finite difference method." }, { "paper": "2142473789", "venue": "199944782", "year": "2003", "title": "effective tracking through tree search", "label": [ "19453392", "115961682", "148764684", "101056560", "8272713" ], "author": [ "2128483907" ], "reference": [ "166377290", "1488776412", "1495732095", "1563256181", "1570973162", "1587050840", "1758984152", "1778787251", "1934560750", "1963565426", "2019322663", "2024225873", "2025189804", "2026892575", "2030989822", "2041760996", "2042695730", "2049902597", "2050568556", "2061879411", "2104095591", "2106738285", "2121609266", "2125013164", "2132290216", "2132762529", "2133328023", "2134820502", "2143224155", "2144133758", "2147939865", "2151043030", "2157190406", "2161406034", "2295163301", "3169507310" ], "abstract": "a new contour tracking algorithm is presented tracking is posed as a matching problem between curves constructed out of edges in the image and some shape space describing the class of objects of interest the main contributions of the paper are to present an algorithm which solves this problem accurately and efficiently in a provable manner in particular the algorithm s efficiency derives from a novel tree search algorithm through the shape space which allows for much of the shape space to be explored with very little effort this latter property makes the algorithm effective in highly cluttered scenes as is demonstrated in an experimental comparison with a condensation tracker", "title_raw": "Effective tracking through tree-search", "abstract_raw": "A new contour tracking algorithm is presented. Tracking is posed as a matching problem between curves constructed out of edges in the image, and some shape space describing the class of objects of interest. The main contributions of the paper are to present an algorithm which solves this problem accurately and efficiently, in a provable manner. In particular, the algorithm's efficiency derives from a novel tree-search algorithm through the shape space, which allows for much of the shape space to be explored with very little effort. This latter property makes the algorithm effective in highly cluttered scenes, as is demonstrated in an experimental comparison with a condensation tracker." }, { "paper": "2169940073", "venue": "61604500", "year": "2003", "title": "unity and discord in opinion dynamics", "label": [ "162392398", "2781396049", "184898388", "37724570", "144237770" ], "author": [ "1965423062", "2030108779", "2985900320", "2151215268" ], "reference": [ "651202057", "1521233381", "1581574738", "1981625763", "1982133615", "1982839492", "1983272724", "1988908044", "1997584151", "2005451065", "2006296538", "2011978681", "2013053877", "2017834451", "2022143789", "2047863574", "2054815042", "2088012076", "2151539524", "2151789396", "2160323368", "2163108019", "3124796528" ], "abstract": "abstract we study opinion dynamics models where agents evolve via repeated pairwise interactions in the compromise model agents with sufficiently close real valued opinions average their opinions a steady state is reached with a finite number of isolated noninteracting opinion clusters parties as the initial opinion range increases the number of such parties undergoes a periodic bifurcation sequence with alternating major and minor parties in the constrained voter model there are leftists centrists and rightists a centrist and an extremist can both become centrists or extremists in an interaction while leftists and rightists do not affect each other the final state is either consensus or a frozen population of leftists and rightists the evolution in one dimension is mapped onto a constrained spin 1 ising chain with zero temperature glauber kinetics the approach to the final state exhibits a nonuniversal long time tail", "title_raw": "Unity and discord in opinion dynamics", "abstract_raw": "Abstract We study opinion dynamics models where agents evolve via repeated pairwise interactions. In the compromise model, agents with sufficiently close real-valued opinions average their opinions. A steady state is reached with a finite number of isolated, noninteracting opinion clusters (\u201cparties\u201d). As the initial opinion range increases, the number of such parties undergoes a periodic bifurcation sequence, with alternating major and minor parties. In the constrained voter model, there are leftists, centrists, and rightists. A centrist and an extremist can both become centrists or extremists in an interaction, while leftists and rightists do not affect each other. The final state is either consensus or a frozen population of leftists and rightists. The evolution in one dimension is mapped onto a constrained spin-1 Ising chain with zero-temperature Glauber kinetics. The approach to the final state exhibits a nonuniversal long-time tail." }, { "paper": "2132481658", "venue": "4502562", "year": "2003", "title": "a new metric for probability distributions", "label": [ "128963836", "28826006", "41261874", "171752962", "10005230", "198496030", "114614502", "88728527", "127104897", "136566228" ], "author": [ "1984824453", "2113479336" ], "reference": [ "152055444", "638747377", "1604254207", "2076537505", "2099111195", "2147258750", "2159902206", "2396730238" ], "abstract": "we introduce a metric for probability distributions which is bounded information theoretically motivated and has a natural bayesian interpretation the square root of the well known spl chi sup 2 distance is an asymptotic approximation to it moreover it is a close relative of the capacitory discrimination and jensen shannon divergence", "title_raw": "A new metric for probability distributions", "abstract_raw": "We introduce a metric for probability distributions, which is bounded, information-theoretically motivated, and has a natural Bayesian interpretation. The square root of the well-known /spl chi//sup 2/ distance is an asymptotic approximation to it. Moreover, it is a close relative of the capacitory discrimination and Jensen-Shannon divergence." }, { "paper": "1976173184", "venue": "184147796", "year": "2003", "title": "whitehead groups of localizations and the endomorphism class group", "label": [ "156730297", "159423971", "118615104", "151746172", "9485509", "76572486", "116858840", "202444582", "2779947372", "49209780" ], "author": [ "2628266293" ], "reference": [ "157211736", "582494080", "1513270764", "1516936858", "1518810941", "1558005980", "1621461005", "1949813140", "1968182815", "1988994381", "1995882555", "2017438384", "2023535081", "2036063158", "2047708082", "2048194646", "2051202214", "2059379309", "2064445156", "2073761272", "2082229176", "2142011641", "2152217395", "2270763918", "2964078237", "2964292208" ], "abstract": "abstract we compute the whitehead groups of the associative rings in a class which includes twisted formal power series rings and the augmentation localizations of group rings and polynomial rings for any associative ring a we obtain an invariant of a pair p where p is a finitely generated projective a module and p p is an endomorphism this invariant determines p up to extensions yielding a computation of the reduced endomorphism class group end 0 a we also refine the analysis by pajitnov and ranicki of the whitehead group of the novikov ring a computation which pajitnov has used in work on circle valued morse theory", "title_raw": "Whitehead groups of localizations and the endomorphism class group", "abstract_raw": "Abstract We compute the Whitehead groups of the associative rings in a class which includes (twisted) formal power series rings and the augmentation localizations of group rings and polynomial rings. For any associative ring A, we obtain an invariant of a pair (P,\u03b1), where P is a finitely generated projective A-module and \u03b1 :P\u2192P is an endomorphism. This invariant determines (P,\u03b1) up to extensions, yielding a computation of the (reduced) endomorphism class group End 0 (A) . We also refine the analysis by Pajitnov and Ranicki of the Whitehead group of the Novikov ring, a\u00a0computation which Pajitnov has used in work on circle-valued Morse theory." }, { "paper": "1976266762", "venue": "192217950", "year": "2003", "title": "a quasi periodic poincare s theorem", "label": [ "88221313", "8522634", "9767117", "121770821", "37914503", "200741047", "2776799497", "134306372", "49209780" ], "author": [ "3037967931", "2148513012" ], "reference": [ "620417105", "771261764", "1488877410", "1524565983", "1963745706", "1967807518", "2005264856", "2006638341", "2010444946", "2051959833", "2073868859", "2075703544", "2509243266", "2993547202" ], "abstract": "we study the persistence of invariant tori on resonant surfaces of a nearly integrable hamiltonian system under the usual kolmogorov non degenerate condition by introducing a quasi linear iterative scheme to deal with small divisors we generalize the poincare theorem on the maximal resonance case i e the periodic case to the general resonance case i e the quasi periodic case by showing the persistence of majority of invariant tori associated to non degenerate relative equilibria on any resonant surface", "title_raw": "A quasi-periodic Poincar\u00e9's theorem", "abstract_raw": "We study the persistence of invariant tori on resonant surfaces of a nearly integrable Hamiltonian system under the usual Kolmogorov non-degenerate condition. By introducing a quasi-linear iterative scheme to deal with small divisors, we generalize the Poincare theorem on the maximal resonance case (i.e., the periodic case) to the general resonance case (i.e., the quasi-periodic case) by showing the persistence of majority of invariant tori associated to non-degenerate relative equilibria on any resonant surface." }, { "paper": "2098558787", "venue": "50372074", "year": "2003", "title": "an explicit analytic solution to the thomas fermi equation", "label": [ "78045399", "201292218", "173636693", "134306372", "520416788", "110342517", "5961521", "52743947" ], "author": [ "2490288196" ], "reference": [ "42040310", "75645459", "1524305136", "1560556759", "1966683303", "1971174272", "1973741716", "1975608189", "1975629995", "1977674579", "1988033854", "1992033892", "1993244739", "1997858083", "2006350958", "2008095720", "2022056620", "2027767660", "2039808524", "2052507692", "2058463483", "2092511908", "2118910480", "2143079075", "2146747898", "2149199266", "2158072633", "2169906807", "2288071204", "2290245534", "2295169085", "2472662419", "2482450409", "2561119745", "2620966390" ], "abstract": "a new kind of analytic technique namely the homotopy analysis method is employed to give an explicit analytic solution of the thomas fermi equation and the related recurrence formulae of constant coefficients this solution can be regarded as the definition of the exact solution of the thomas fermi equation", "title_raw": "An explicit analytic solution to the Thomas-Fermi equation", "abstract_raw": "A new kind of analytic technique, namely the homotopy analysis method, is employed to give an explicit analytic solution of the Thomas-Fermi equation and the related recurrence formulae of constant coefficients. This solution can be regarded as the definition of the exact solution of the Thomas-Fermi equation." }, { "paper": "2029763680", "venue": "151579836", "year": "2003", "title": "reachability realization and stabilizability of switched linear discrete time systems", "label": [ "96314035", "136643341", "48209547", "55689738", "65244806", "37724570", "6802819", "68173885", "2778533034" ], "author": [ "2137583030", "2115331153" ], "reference": [ "1995063858", "2038788041", "2073008033", "2102802181", "2118741873", "2154510168", "2164153476", "2165042063", "2170835896", "2350566675", "2566720177" ], "abstract": "abstract in this paper the reachability realization of a switched linear discrete time system which is a collection of linear time invariant discrete time systems along with some maps for switching among them is addressed the main contribution of this paper is to prove that for a switched linear discrete time system there exists a basic switching sequence such that the reachable controllable state set of this basic switching sequence is equal to the reachable controllable state set of the system hence the reachability controllability can be realized by using only one switching sequence we also discuss the stabilizability of switched systems and obtain a sufficient condition for stabilizability two numeric examples are given to illustrate the results", "title_raw": "Reachability realization and stabilizability of switched linear discrete-time systems\u2606", "abstract_raw": "Abstract In this paper, the reachability realization of a switched linear discrete-time system, which is a collection of linear time-invariant discrete-time systems along with some maps for \u201cswitching\u201d among them, is addressed. The main contribution of this paper is to prove that for a switched linear discrete-time system, there exists a basic switching sequence such that the reachable (controllable) state set of this basic switching sequence is equal to the reachable (controllable) state set of the system. Hence, the reachability (controllability) can be realized by using only one switching sequence. We also discuss the stabilizability of switched systems, and obtain a sufficient condition for stabilizability. Two numeric examples are given to illustrate the results." }, { "paper": "2053519312", "venue": "158241587", "year": "2003", "title": "sphalerons spectral flow and anomalies", "label": [ "146710177", "158693339", "90738871", "139352143", "103766332", "129089157", "37914503" ], "author": [ "3130577582", "2484192267" ], "reference": [ "21223778", "438842515", "1495101693", "1553710961", "1596603117", "1748447111", "1964930690", "1968063773", "1974034169", "1974065616", "1974260163", "1975459316", "1978426629", "1985846302", "1986526546", "1991912816", "2002448146", "2004395040", "2014918228", "2015568288", "2021661117", "2023318233", "2023980565", "2027710569", "2029141506", "2032198875", "2037065703", "2038506627", "2039377924", "2044038778", "2045957768", "2051900153", "2052492748", "2052512918", "2054871992", "2064221439", "2065076100", "2065491377", "2070470785", "2070669665", "2075642876", "2076058243", "2077092255", "2078536640", "2083415449", "2084309638", "2090874294", "2093163854", "2093167491", "2094755808", "2096289009", "2097780038", "2107000389", "2117836026", "2119244918", "2119951960", "2124705870", "2126010983", "2127494126", "2128200938", "2137904670", "2140846022", "2141849829", "2149784617", "2155070207", "2157489988", "2172030904", "2206839359", "2215061879", "2223420584", "2227142208", "2232454336", "2598644173", "2963223664", "3099505708", "3101862294", "3103544965" ], "abstract": "the topology of configuration space may be responsible in part for the existence of sphalerons here sphalerons are defined to be static but unstable finite energy solutions of the classical field equations another manifestation of the nontrivial topology of configuration space is the phenomenon of spectral flow for the eigenvalues of the dirac hamiltonian the spectral flow in turn is related to the possible existence of anomalies in this review the interconnection of these topics is illustrated for three particular sphalerons of su 2 yang mills higgs theory", "title_raw": "Sphalerons, spectral flow, and anomalies", "abstract_raw": "The topology of configuration space may be responsible in part for the existence of sphalerons. Here, sphalerons are defined to be static but unstable finite-energy solutions of the classical field equations. Another manifestation of the nontrivial topology of configuration space is the phenomenon of spectral flow for the eigenvalues of the Dirac Hamiltonian. The spectral flow, in turn, is related to the possible existence of anomalies. In this review, the interconnection of these topics is illustrated for three particular sphalerons of SU(2) Yang\u2013Mills\u2013Higgs theory." }, { "paper": "2046902807", "venue": "119757635", "year": "2003", "title": "asymptotics for likelihood ratio tests under loss of identifiability", "label": [ "75894275", "65778772", "122770356", "119047807", "153024298", "105795698", "9483764", "61224824", "28826006", "120639" ], "author": [ "2635648733", "3159321262" ], "reference": [ "306662213", "1507545330", "1509689762", "1990611835", "1992402718", "2008430743", "2010353172", "2023801758", "2032423482", "2052206449", "2077229208", "2105287801", "2147147647", "2153709617", "2166698530" ], "abstract": "this paper describes the large sample properties of the likelihood ratio test statistic lrts when the parameters characterizing the true null distribution are not unique it is well known that the classical asymptotic theory for the likelihood ratio test does not apply to such problems and the lrts may not have the typical chi squared type limiting distribution this paper establishes a general quadratic approximation of the log likelihood ratio function in a hellinger neighborhood of the true density which is valid with or without loss of identifiability of the true distribution under suitable conditions the asymptotic null distribution of the lrts under loss of identifiability can be obtained by maximizing the quadratic form these results extend the work of chernoff and le cam in particular applications to testing the number of mixture components in finite mixture models are discussed", "title_raw": "Asymptotics for likelihood ratio tests under loss of identifiability", "abstract_raw": "This paper describes the large sample properties of the likelihood ratio test statistic (LRTS) when the parameters characterizing the true null distribution are not unique. It is well known that the classical asymptotic theory for the likelihood ratio test does not apply to such problems and the LRTS may not have the typical chi-squared type limiting distribution. This paper establishes a general quadratic approximation of the log-likelihood ratio function in a Hellinger neighborhood of the true density which is valid with or without loss of identifiability of the true distribution. Under suitable conditions, the asymptotic null distribution of the LRTS under loss of identifiability can be obtained by maximizing the quadratic form. These results extend the work of Chernoff and Le Cam. In particular, applications to testing the number of mixture components in finite mixture models are discussed." }, { "paper": "1975329980", "venue": "168680287", "year": "2003", "title": "blind mimo channel identification from second order statistics using rank deficient channel convolution matrix", "label": [ "41425797", "152003226", "65244806", "122770356", "121648289", "1026927", "207987634", "11413529" ], "author": [ "2095669101", "2158281530" ], "reference": [ "588139629", "1533423434", "1969813882", "1982068288", "1983821361", "2021666994", "2032572592", "2054658115", "2055039533", "2088881802", "2097987904", "2103034511", "2115723730", "2119923861", "2121202969", "2124757684", "2132796249", "2133475491", "2135090595", "2139295016", "2139495151", "2139742533", "2143679165", "2145058141", "2145243777", "2150651763", "2154297327", "2158620689", "2158980007", "2159876697", "2161670087", "2163101083", "2164370597", "2166239636", "2166824919", "2169528110", "2293708794", "2797803311", "2798813531" ], "abstract": "for multiuser systems several direct blind identification algorithms require that the linear multiple input multiple output mimo system have a full rank convolution matrix this condition requires that the system transfer function be irreducible and column reduced we show that this restrictive identification condition can be relaxed for some direct blind identification methods to accommodate more practical scenarios algorithms such as the outer product decomposition algorithm only require minor length adjustment to its processing window without the column reduced condition this result allows direct blind identification methods to be applicable to mimo without requiring a full rank channel convolution matrix", "title_raw": "Blind MIMO channel identification from second order statistics using rank deficient channel convolution matrix", "abstract_raw": "For multiuser systems, several direct blind identification algorithms require that the linear multiple-input multiple-output (MIMO) system have a full rank convolution matrix. This condition requires that the system transfer function be irreducible and column reduced. We show that this restrictive identification condition can be relaxed for some direct blind identification methods to accommodate more practical scenarios. Algorithms such as the outer-product decomposition algorithm only require minor length adjustment to its processing window without the column-reduced condition. This result allows direct blind identification methods to be applicable to MIMO without requiring a full-rank channel convolution matrix." }, { "paper": "2048456980", "venue": "172180718", "year": "2003", "title": "likelihood inference in nearest neighbour classification models", "label": [ "161677786", "11413529", "38180746", "105795698", "163175372", "170964787", "27181475", "48921125" ], "author": [ "1964414006", "2145214992" ], "reference": [ "188554010", "1480376833", "1489984389", "1554544485", "1573139468", "1610836425", "1840338487", "1973217014", "1973948212", "1986238913", "2013916093", "2020214980", "2020999234", "2034562813", "2046600124", "2082233939", "2084812512", "2085384893", "2086547064", "2114220616", "2117812871", "2122389268", "2142334564", "2168175751", "2170120409", "2313867172", "2905074708", "2911678770" ], "abstract": "summary traditionally the neighbourhood size k in the k nearest neighbour algorithm is either fixed at the first nearest neighbour or is selected on the basis of a crossvalidation study in this paper we present an alternative approach that develops the k nearest neighbour algorithm using likelihood based inference our method takes the form of a generalised linear regression on a set of k nearest neighbour autocovariates by defining the k nearestneighbour algorithm in this way we are able to extend the method to accommodate the original predictor variables as possible linear effects as well as allowing for the inclusion of multiple nearest neighbour terms the choice of the final model proceeds via a stepwise regression procedure it is shown that our method incorporates a conventional generalised linear model and a conventional k nearest neighbour algorithm as special cases empirical results suggest that the method out performs the standard k nearest neighbour method in terms of misclassification rate on a wide variety of datasets", "title_raw": "Likelihood inference in nearest\u2010neighbour classification models", "abstract_raw": "SUMMARY Traditionally the neighbourhood size k in the k-nearest-neighbour algorithm is either fixed at the first nearest neighbour or is selected on the basis of a crossvalidation study. In this paper we present an alternative approach that develops the k-nearest-neighbour algorithm using likelihood-based inference. Our method takes the form of a generalised linear regression on a set of k-nearest-neighbour autocovariates. By defining the k-nearestneighbour algorithm in this way we are able to extend the method to accommodate the original predictor variables as possible linear effects as well as allowing for the inclusion of multiple nearest-neighbour terms. The choice of the final model proceeds via a stepwise regression procedure. It is shown that our method incorporates a conventional generalised linear model and a conventional k-nearest-neighbour algorithm as special cases. Empirical results suggest that the method out-performs the standard k-nearest-neighbour method in terms of misclassification rate on a wide variety of datasets." }, { "paper": "1545201365", "venue": "192217950", "year": "2003", "title": "propagation of polarization in elastodynamics with residual stress and travel times", "label": [ "134306372", "135252773", "33577790" ], "author": [ "2514738736", "1261844428" ], "reference": [ "1532154335", "1535973036", "1549087646", "1591527151", "1749775568", "1964842062", "1987982737", "2013492583", "2016716371", "2023326241", "2042654311", "2045058463", "2048870164", "2052781687", "2061175874", "2075745897", "2111686268", "2127436860" ], "abstract": "we show that knowing the displacement to traction map associated to the equations of isotropic elastodynamics with residual stress we can determine the lens maps of compressional and shear waves we derive several consequences of this for the inverse problem of determining the residual stress and the lame parameters from the displacement to traction map", "title_raw": "Propagation of polarization in elastodynamics with residual stress and travel times", "abstract_raw": "We show that knowing the displacement-to-traction map associated to the equations of isotropic elastodynamics with residual stress we can determine the lens maps of compressional and shear waves. We derive several consequences of this for the inverse problem of determining the residual stress and the Lame parameters from the displacement-to-traction map." }, { "paper": "2100249676", "venue": "115304631", "year": "2003", "title": "selective removal of impulse noise based on homogeneity level information", "label": [ "55352655", "113660513", "11413529", "4199805", "182163834", "200378446" ], "author": [ "1224232545", "2223031141", "2423925246" ], "reference": [ "1979281902", "1979599035", "1981130078", "2021130884", "2074192443", "2078859802", "2081933987", "2092002401", "2106866681", "2129500555", "2132288383", "2145906470", "2160482765", "2169733476" ], "abstract": "we propose a decision based signal adaptive median filtering algorithm for removal of impulse noise our algorithm achieves accurate noise detection and high snr measures without smearing the fine details and edges in the image the notion of homogeneity level is defined for pixel values based on their global and local statistical properties the cooccurrence matrix technique is used to represent the correlations between a pixel and its neighbors and to derive the upper and lower bound of the homogeneity level noise detection is performed at two stages noise candidates are first selected using the homogeneity level and then a refining process follows to eliminate false detections the noise detection scheme does not use a quantitative decision measure but uses qualitative structural information and it is not subject to burdensome computations for optimization of the threshold values empirical results indicate that our scheme performs significantly better than other median filters in terms of noise suppression and detail preservation", "title_raw": "Selective removal of impulse noise based on homogeneity level information", "abstract_raw": "We propose a decision-based, signal-adaptive median filtering algorithm for removal of impulse noise. Our algorithm achieves accurate noise detection and high SNR measures without smearing the fine details and edges in the image. The notion of homogeneity level is defined for pixel values based on their global and local statistical properties. The cooccurrence matrix technique is used to represent the correlations between a pixel and its neighbors, and to derive the upper and lower bound of the homogeneity level. Noise detection is performed at two stages: noise candidates are first selected using the homogeneity level, and then a refining process follows to eliminate false detections. The noise detection scheme does not use a quantitative decision measure, but uses qualitative structural information, and it is not subject to burdensome computations for optimization of the threshold values. Empirical results indicate that our scheme performs significantly better than other median filters, in terms of noise suppression and detail preservation." }, { "paper": "2111357004", "venue": "196647941", "year": "2003", "title": "computation of the exact bit error rate of coherent m ary psk with gray code bit mapping", "label": [ "76482347", "129861397", "118615104", "103088060", "56296756", "45374587", "48372109" ], "author": [ "288387218", "2154664050", "676732097", "2468549725" ], "reference": [ "93405014", "598996319", "2044180609", "2046815858", "2086449672", "2098314359", "2125658654", "2130586999", "2136293966", "2161094289", "3010745330" ], "abstract": "the problem of calculating the average bit error probability bep of coherent m ary phase shift keying psk over a gaussian channel has been studied previously in the literature a solution to the problem for systems using a binary reflected gray code brgc to map bits to symbols was first presented by p j lee see ibid vol com 34 p 488 91 1986 we show that the results obtained by lee are incorrect for m spl ges 16 we show that the reason for this is an invalid assumption that the bit error rate ber is independent of the transmitted symbols an assumption which has also propagated to textbooks we give a new expression for the ber of m psk systems using the brgc and compare this with lee s results", "title_raw": "Computation of the exact bit-error rate of coherent M-ary PSK with Gray code bit mapping", "abstract_raw": "The problem of calculating the average bit-error probability (BEP) of coherent M-ary phase-shift keying (PSK) over a Gaussian channel has been studied previously in the literature. A solution to the problem for systems using a binary reflected Gray code (BRGC) to map bits to symbols was first presented by P.J. Lee (see ibid., vol.COM-34, p.488-91, 1986). We show that the results obtained by Lee are incorrect for M/spl ges/16. We show that the reason for this is an invalid assumption that the bit-error rate (BER) is independent of the transmitted symbols, an assumption which has also propagated to textbooks. We give a new expression for the BER of M-PSK systems using the BRGC and compare this with Lee's results." }, { "paper": "2021624742", "venue": "35412551", "year": "2003", "title": "lyapunov exponent of many particle systems testing the stochastic approach", "label": [ "134306372", "25854792", "191544260", "8272713", "203616005" ], "author": [ "2297554491", "2100792910", "2469085759" ], "reference": [ "1531588570", "1551591249", "1752099711", "1966723683", "1968456311", "1970738437", "1977606744", "1985860461", "1999873841", "2002941292", "2009681261", "2012217929", "2014086222", "2033402742", "2038026589", "2042252904", "2043744380", "2045385967", "2048147273", "2055146473", "2055944111", "2067214607", "2068331871", "2068348966", "2078444607", "2082396287", "2093471596", "2095585564", "2101138360", "2102787760", "2147396843", "2151161801", "2157528880", "2163257413", "2164161378", "2334482762", "3022165290" ], "abstract": "the stochastic approach to the determination of the largest lyapunov exponent of a many particle system is tested in the so called mean field mathrm xy hamiltonians in weakly chaotic regimes the stochastic approach relates the lyapunov exponent to a few statistical properties of the hessian matrix of the interaction which can be calculated as suitable thermal averages we have verified that there is a satisfactory quantitative agreement between theory and simulations in the disordered phases of the mathrm xy models either with attractive or repulsive interactions part of the success of the theory is due to the possibility of predicting the shape of the required correlation functions because this permits the calculation of correlation times as thermal averages", "title_raw": "Lyapunov exponent of many-particle systems: Testing the stochastic approach", "abstract_raw": "The stochastic approach to the determination of the largest Lyapunov exponent of a many-particle system is tested in the so-called mean-field $\\mathrm{XY}$ Hamiltonians. In weakly chaotic regimes, the stochastic approach relates the Lyapunov exponent to a few statistical properties of the Hessian matrix of the interaction, which can be calculated as suitable thermal averages. We have verified that there is a satisfactory quantitative agreement between theory and simulations in the disordered phases of the $\\mathrm{XY}$ models, either with attractive or repulsive interactions. Part of the success of the theory is due to the possibility of predicting the shape of the required correlation functions, because this permits the calculation of correlation times as thermal averages." }, { "paper": "2149204490", "venue": "165473669", "year": "2003", "title": "on incompressible viscous fluid flows with slip boundary conditions", "label": [ "34388435", "33026886", "2524010", "182310444", "16977076", "45178976" ], "author": [ "2518043524" ], "reference": [ "46556092", "1550988972", "1594759473", "1604809219", "2033305412", "2990785143" ], "abstract": "we consider stationary and nonstationary problems of viscous incompressible fluid flows with slip boundary conditions in a rotating bounded domain we show a geometrical representation of the slip conditions where principal curvatures of its boundary surfaces are characteristic coefficients when the domain is axisymmetric it is proved that a steady flow exists if external force f in equations of motion is orthogonal to rigid rotational flows and that a nonstationary flow converges to a steady flow depending on its initial flow as time tends to infinity if f is independent of time and orthogonal to rigid rotational flows and if the l2 norm of f is sufficiently small", "title_raw": "On incompressible viscous fluid flows with slip boundary conditions", "abstract_raw": "We consider stationary and nonstationary problems of viscous incompressible fluid flows with slip boundary conditions in a rotating bounded domain. We show a geometrical representation of the slip conditions where principal curvatures of its boundary surfaces are characteristic coefficients. When the domain is axisymmetric, it is proved that a steady flow exists if external force f in equations of motion is orthogonal to rigid rotational flows, and that a nonstationary flow converges to a steady flow depending on its initial flow as time tends to infinity, if f is independent of time and orthogonal to rigid rotational flows and if the L2-norm of f is sufficiently small." }, { "paper": "1721666805", "venue": "60030702", "year": "2003", "title": "uncorrelatedness and orthogonality for vector valued processes", "label": [ "134306372", "186215838", "75413324", "123222754", "13336665", "84392682", "57691317", "62799726", "202444582" ], "author": [ "2011218740", "2168285220", "2097834539", "2224679295" ], "reference": [ "1542004730", "1567076607", "1661219383", "1843935787", "1967954124", "1977707014", "1998280734", "2012497542", "2048518870", "2082630858", "2111636042", "2207992499", "2798461040", "3015532271" ], "abstract": "for a square integrable vector valued process f on the loeb product space it is shown that vector orthogonality is almost equivalent to componentwise scalar orthogonality various characterizations of almost sure uncorrelatedness for f are presented the process f is also related to multilinear forms on the target hilbert space finally a general structure result for f involving the biorthogonal representation for the conditional expectation of f with respect to the usual product algebra is presented", "title_raw": "Uncorrelatedness and orthogonality for vector-valued processes", "abstract_raw": "For a square integrable vector-valued process f on the Loeb product space, it is shown that vector orthogonality is almost equivalent to componentwise scalar orthogonality. Various characterizations of almost sure uncorrelatedness for f are presented. The process f is also related to multilinear forms on the target Hilbert space. Finally, a general structure result for f involving the biorthogonal representation for the conditional expectation of f with respect to the usual product \u03c3-algebra is presented." }, { "paper": "1974103348", "venue": "90727058", "year": "2003", "title": "new results on edge bandwidth", "label": [ "80763892", "118615104", "50820777", "114614502", "103257674" ], "author": [ "2218563602", "2005992789", "2085830408" ], "reference": [ "32285420", "191883608", "204978356", "1495591881", "1522005659", "1545862959", "1975378356", "1994701070", "2001819098", "2025902957", "2057993122", "2062440212", "2076203145", "2076266010", "2079621095", "2081052144", "2091052948", "2146481659", "2489437981", "2795816468" ], "abstract": "the edge bandwidth problem is an analog of the classical bandwidth problem in which one has to label the edges of a graph by distinct integers such that the maximum difference of labels of any two incident edges is minimized we prove tight bounds on the edge bandwidth of hypercube and butterfly graphs and complete k ary trees which extends and improves on previous known results", "title_raw": "New results on edge-bandwidth", "abstract_raw": "The edge-bandwidth problem is an analog of the classical bandwidth problem, in which one has to label the edges of a graph by distinct integers such that the maximum difference of labels of any two incident edges is minimized. We prove tight bounds on the edge-bandwidth of hypercube and butterfly graphs, and complete k-ary trees which extends and improves on previous known results." }, { "paper": "1966451920", "venue": "56603566", "year": "2003", "title": "numerical and theoretical considerations for sensitivity calculation of discontinuous flow", "label": [ "38349280", "28719098", "38409319", "2777042112", "21200559", "11210021", "134306372", "768646" ], "author": [ "2631897483", "2156042630" ], "reference": [ "2206565", "26476513", "199376029", "1517130750", "1518382751", "1526321517", "1580724525", "1972397858", "1973496280", "1995773189", "2003052428", "2010586146", "2012434100", "2019362829", "2034976587", "2041942127", "2046093893", "2067211395", "2101049712", "2101933362", "2122380484", "2154600490", "2208814128", "2248802390", "3093382014" ], "abstract": "abstract linearization of 1 d euler equations about a discontinuous solution is discussed from both the theoretical and numerical point of view estimates for the norm of the solution of the linearized system are shown to be valid for the case presented numerically the linearization is performed following the guidelines of tangent linear model and sensitivities with respect to a flow parameter are computed being in better agreement with the analytical value when compared with previously reported numerical results", "title_raw": "Numerical and theoretical considerations for sensitivity calculation of discontinuous flow", "abstract_raw": "Abstract Linearization of 1-D Euler equations about a discontinuous solution is discussed from both the theoretical and numerical point of view. Estimates for the norm of the solution of the linearized system are shown to be valid for the case presented. Numerically, the linearization is performed following the guidelines of tangent linear model and sensitivities with respect to a flow parameter are computed, being in better agreement with the analytical value when compared with previously reported numerical results." }, { "paper": "1541134818", "venue": "25538012", "year": "2003", "title": "regularized laplacian zero crossings as optimal edge integrators", "label": [ "126794175", "90673727", "134306372", "112353826", "193536780", "115961682", "97985569", "31914301", "165700671" ], "author": [ "2140069900", "2134207603" ], "reference": [ "110916536", "1238092070", "1580269359", "1593038947", "1977946246", "1991113069", "2003370853", "2021528463", "2069562432", "2103580031", "2104095591", "2113511941", "2116737017", "2120940390", "2128012355", "2132331553", "2133216625", "2134820502", "2138524633", "2144133758", "2145023731", "2145803225", "2149184914", "2152249876", "2155487652", "2164822588", "2177220821", "2463743923" ], "abstract": "we view the fundamental edge integration problem for object segmentation in a geometric variational framework first we show that the classical zero crossings of the image laplacian edge detector as suggested by marr and hildreth inherently provides optimal edge integration with regard to a very natural geometric functional this functional accumulates the inner product between the normal to the edge and the gray level image gradient along the edge we use this observation to derive new and highly accurate active contours based on this functional and regularized by previously proposed geodesic active contour geometric variational models we also incorporate a 2d geometric variational explanation to the haralick edge detector into the geometric active contour framework", "title_raw": "Regularized Laplacian Zero Crossings as Optimal Edge Integrators", "abstract_raw": "We view the fundamental edge integration problem for object segmentation in a geometric variational framework. First we show that the classical zero-crossings of the image Laplacian edge detector as suggested by Marr and Hildreth, inherently provides optimal edge-integration with regard to a very natural geometric functional. This functional accumulates the inner product between the normal to the edge and the gray level image-gradient along the edge. We use this observation to derive new and highly accurate active contours based on this functional and regularized by previously proposed geodesic active contour geometric variational models. We also incorporate a 2D geometric variational explanation to the Haralick edge detector into the geometric active contour framework." }, { "paper": "2124565665", "venue": "148709879", "year": "2003", "title": "commutative discrete filtering on unstructured grids based on least squares techniques", "label": [ "17378031", "176012381", "39177556", "118615104", "183778304", "28826006", "48753275", "96314035" ], "author": [ "1561619336", "2284747709" ], "reference": [ "282374329", "821550152", "1994064135", "2030897579", "2054933255", "2061952429", "2098814095", "2327257092", "2798909945" ], "abstract": "the present work is concerned with the development of commutative discrete filters for unstructured grids and contains two main contributions first building on the work of marsden et al j comp phys 175 2002 584 a new commutative discrete filter based on least squares techniques is constructed second a new analysis of the discrete commutation error is carried out the analysis indicates that the discrete commutation error is not only dependent on the number of vanishing moments of the filter weights but also on the order of accuracy of the discrete gradient operator the results of the analysis are confirmed by grid refinement studies", "title_raw": "Commutative discrete filtering on unstructured grids based on least-squares techniques", "abstract_raw": "The present work is concerned with the development of commutative discrete filters for unstructured grids and contains two main contributions. First, building on the work of Marsden et al. [J. Comp. Phys. 175 (2002) 584], a new commutative discrete filter based on least-squares techniques is constructed. Second, a new analysis of the discrete commutation error is carried out. The analysis indicates that the discrete commutation error is not only dependent on the number of vanishing moments of the filter weights, but also on the order of accuracy of the discrete gradient operator. The results of the analysis are confirmed by grid-refinement studies." }, { "paper": "2163387321", "venue": "25538012", "year": "2003", "title": "multiscale medial loci and their properties", "label": [ "202444582", "2524010", "185877587", "62354387", "2778325560", "24881265" ], "author": [ "2075561300", "2136350819", "2942750189", "2041353436", "1986729166" ], "reference": [ "4499174", "6656001", "96629785", "113725993", "205360716", "654264093", "1480756662", "1488305262", "1508115086", "1522089931", "1542888268", "1543268313", "1544041760", "1553943608", "1561408135", "1563062848", "1563961677", "1570039896", "1570514300", "1585348905", "1603966462", "1965575981", "1975918152", "1991113069", "1992779461", "1993391455", "1997276658", "1997647783", "2004644355", "2006596893", "2011347427", "2011874170", "2022266599", "2023313243", "2024335283", "2028785429", "2032238293", "2032338774", "2036322673", "2045982213", "2060919860", "2072529824", "2074914131", "2077056254", "2077246452", "2077931785", "2081519360", "2088114053", "2089293604", "2093793201", "2094233695", "2094757789", "2098077066", "2101043275", "2104477372", "2108611942", "2109779101", "2110065373", "2111783137", "2120959665", "2122182478", "2122741244", "2123577201", "2126464693", "2133279414", "2136113976", "2140542036", "2141096980", "2148442070", "2150179889", "2154354071", "2156092853", "2156406284", "2160913309", "2161642755", "2163111080", "2163775665", "2164741953", "2169579934", "2171820417", "2172167640", "2172431334", "2172626860", "2173138314", "2197363001", "2322951925", "2400999500", "2521463608", "2528190804", "2565152771", "2568817502", "2611234013", "2682739702", "2740373864", "2795429737", "3041834803", "3159914786", "3198617015" ], "abstract": "blum s medial axes have great strengths in principle in intuitively describing object shape in terms of a quasi hierarchy of figures but it is well known that derived from a boundary they are damagingly sensitive to detail in that boundary the development of notions of spatial scale has led to some definitions of multiscale medial axes different from the blum medial axis that considerably overcame the weakness three major multiscale medial axes have been proposed iteratively pruned trees of voronoi edges ogniewicz 1993 szekely 1996 naf 1996 shock loci of reaction diffusion equations kimia et al 1995 siddiqi and kimia 1996 and height ridges of medialness cores fritsch et al 1994 morse et al 1993 pizer et al 1998 these are different from the blum medial axis and each has different mathematical properties of generic branching and ending properties singular transitions and geometry of implied boundary and they have different strengths and weaknesses for computing object descriptions from images or from object boundaries these mathematical properties and computational abilities are laid out and compared and contrasted in this paper", "title_raw": "Multiscale Medial Loci and Their Properties", "abstract_raw": "Blum's medial axes have great strengths, in principle, in intuitively describing object shape in terms of a quasi-hierarchy of figures. But it is well known that, derived from a boundary, they are damagingly sensitive to detail in that boundary. The development of notions of spatial scale has led to some definitions of multiscale medial axes different from the Blum medial axis that considerably overcame the weakness. Three major multiscale medial axes have been proposed: iteratively pruned trees of Voronoi edges (Ogniewicz, 1993- Szekely, 1996- Naf, 1996), shock loci of reaction-diffusion equations (Kimia et al., 1995- Siddiqi and Kimia, 1996), and height ridges of medialness (cores) (Fritsch et al., 1994- Morse et al., 1993- Pizer et al., 1998). These are different from the Blum medial axis, and each has different mathematical properties of generic branching and ending properties, singular transitions, and geometry of implied boundary, and they have different strengths and weaknesses for computing object descriptions from images or from object boundaries. These mathematical properties and computational abilities are laid out and compared and contrasted in this paper." }, { "paper": "2032593306", "venue": "189344224", "year": "2003", "title": "koiter circles in the buckling of axially compressed conical shells", "label": [ "35377427", "74261601", "158693339", "134306372", "124961601", "2524010" ], "author": [ "1969232347" ], "reference": [ "1593968127", "1743970410", "1972582872", "1984414906", "2010459793", "2017459647", "2028677660", "2040234318", "2049102199", "2064331996", "2075210656", "2098734011", "2100951173", "2118080678", "2152918965", "2156333787", "2277234727" ], "abstract": "abstract as is well known the elastic stability of shell structures under certain loading conditions is characterised by a severely unstable postbuckling behaviour the presence of simultaneous buckling modes competing modes corresponding to the same critical buckling load is deemed to be largely responsible for such a behaviour in the present paper within the framework of the so called classical theory linear bifurcation eigenvalue analysis the buckling behaviour of axially compressed cylindrical shells is firstly reviewed accordingly doubly periodic eigenvectors buckling modes corresponding to the same eigenvalue critical buckling load can be determined and their locus in a dimensionless meridional and circumferential buckling wavenumber space is described by a circle known as the koiter circle in the case of axially compressed conical shells no clear evidence of the existence of simultaneous buckling modes can be found in the literature then such a problem is studied here via linear eigenvalue finite element analyses showing that simultaneous doubly periodic modes do also occur for cones and that their locus in a specifically defined dimensionless wavenumber space can be described by an ellipse hereafter termed as the koiter ellipse whose aspect ratio is dependent on the tapering angle of the cone", "title_raw": "Koiter circles in the buckling of axially compressed conical shells", "abstract_raw": "Abstract As is well known, the elastic stability of shell structures under certain loading conditions is characterised by a severely unstable postbuckling behaviour. The presence of simultaneous buckling modes (\u2018competing\u2019 modes corresponding to the same critical buckling load) is deemed to be largely responsible for such a behaviour. In the present paper, within the framework of the so-called classical theory (linear bifurcation eigenvalue analysis), the buckling behaviour of axially compressed cylindrical shells is firstly reviewed. Accordingly, doubly periodic eigenvectors (buckling modes) corresponding to the same eigenvalue (critical buckling load) can be determined, and their locus in a dimensionless meridional and circumferential buckling wavenumber space is described by a circle (known as the Koiter circle ). In the case of axially compressed conical shells, no clear evidence of the existence of simultaneous buckling modes can be found in the literature. Then, such a problem is studied here via linear eigenvalue finite element analyses, showing that simultaneous doubly periodic modes do also occur for cones, and that their locus in a specifically defined dimensionless wavenumber space can be described by an ellipse (hereafter termed as the Koiter ellipse ) whose aspect ratio is dependent on the tapering angle of the cone." }, { "paper": "2107960143", "venue": "168680287", "year": "2003", "title": "a numerically stable fast newton type adaptive filter based on order recursive least squares algorithm", "label": [ "158693339", "185142706", "75930677", "145249878", "85189116", "112972136", "102248274", "176321772", "11413529" ], "author": [ "2805190438", "2806055360", "2974599553" ], "reference": [ "146941161", "1920398080", "1983627164", "1989401419", "2011416869", "2017619259", "2019789878", "2038085771", "2089563768", "2101866227", "2109626466", "2113049185", "2114766871", "2133952959", "2148396775", "2149339213", "2156434578", "2157850096", "2165653503" ], "abstract": "this paper presents a numerically stable fast newton type adaptive filter algorithm two problems are dealt with in the paper first we derive the proposed algorithm from an order recursive least squares algorithm the result of the proposed algorithm is equivalent to that of the fast newton transversal filter fntf algorithm however the derivation process is different instead of extending a covariance matrix of the input based on the min max and the max min criteria the derivation shown in this paper is to solve an optimum extension problem of the gain vector based on the information of the mth order forward or backward predictor the derivation provides an intuitive explanation of the fntf algorithm which may be easier to understand second we present stability analysis of the proposed algorithm using a linear time variant state space method we show that the proposed algorithm has a well analyzable stability structure which is indicated by a transition matrix the eigenvalues of the ensemble average of the transition matrix are proved all to be asymptotically less than unity this results in a much improved numerical performance of the proposed algorithm compared with the combination of the stabilized fast recursive least squares sfrls and the fntf algorithms computer simulations implemented by using a finite precision arithmetic have confirmed the validity of our analysis", "title_raw": "A numerically stable fast Newton-type adaptive filter based on order recursive least squares algorithm", "abstract_raw": "This paper presents a numerically stable fast Newton-type adaptive filter algorithm. Two problems are dealt with in the paper. First, we derive the proposed algorithm from an order-recursive least squares algorithm. The result of the proposed algorithm is equivalent to that of the fast Newton transversal filter (FNTF) algorithm. However, the derivation process is different. Instead of extending a covariance matrix of the input based on the min-max and the max-min criteria, the derivation shown in this paper is to solve an optimum extension problem of the gain vector based on the information of the Mth-order forward or backward predictor. The derivation provides an intuitive explanation of the FNTF algorithm, which may be easier to understand. Second, we present stability analysis of the proposed algorithm using a linear time-variant state-space method. We show that the proposed algorithm has a well-analyzable stability structure, which is indicated by a transition matrix. The eigenvalues of the ensemble average of the transition matrix are proved all to be asymptotically less than unity. This results in a much-improved numerical performance of the proposed algorithm compared with the combination of the stabilized fast recursive least squares (SFRLS) and the FNTF algorithms. Computer simulations implemented by using a finite-precision arithmetic have confirmed the validity of our analysis." }, { "paper": "2027126281", "venue": "50372074", "year": "2003", "title": "an expansion method to treat integral equations", "label": [ "143591791", "27016315", "48265008", "134306372", "48753275", "518188847", "17378031", "89285879", "21965488" ], "author": [ "2580255881" ], "reference": [ "2006373179", "2048579315", "2085063499", "3134067276" ], "abstract": "this paper introduces a method for treating integral equation of the second and first kind of both types fredholm or volterra the method is very useful in treating integral equation of the first kind the method is tested by various numerical examples", "title_raw": "An expansion method to treat integral equations", "abstract_raw": "This paper introduces a method for treating integral equation of the second and first kind of both types Fredholm or Volterra. The method is very useful in treating integral equation of the first kind. The method is tested by various numerical examples." }, { "paper": "2000693310", "venue": "73535193", "year": "2003", "title": "extrapolation methods for improving the convergence of oligomer calculations to the infinite chain limit of quasi one dimensional stereoregular polymers", "label": [ "132459708", "162392398", "37724570", "112675119", "151201525", "114614502" ], "author": [ "91539175", "2161555308" ], "reference": [ "169443419", "175266203", "280909338", "333855566", "560933868", "561852536", "568685918", "628279477", "1273467106", "1483453680", "1489023216", "1492293529", "1501283731", "1540380506", "1564995869", "1591442392", "1755857890", "1965029248", "1965260121", "1966288246", "1968991284", "1970297611", "1972234900", "1972448709", "1973717154", "1976491662", "1977709768", "1978358818", "1978731541", "1985520220", "1988474673", "1988929581", "1992578750", "1992947200", "1993343911", "1993901231", "1995302367", "2000973291", "2003832113", "2005506345", "2008157797", "2009394335", "2009914930", "2011079470", "2016227791", "2017767974", "2019550041", "2019581923", "2020688938", "2024219857", "2024980718", "2027587769", "2028172459", "2030390289", "2036581649", "2038531874", "2043028569", "2043410903", "2044607934", "2047161009", "2047395745", "2054177681", "2056599605", "2056722718", "2057817591", "2059201180", "2060534429", "2068073951", "2069125238", "2072405411", "2072576348", "2072705165", "2073603295", "2076648548", "2077380556", "2077888556", "2080827687", "2080832032", "2080910348", "2085588654", "2085671314", "2086297432", "2087885941", "2088134950", "2089959927", "2093432799", "2095171685", "2112692789", "2120967924", "2125998660", "2127449777", "2129973008", "2146148917", "2162490449", "2230728100", "2292441907", "2316418224", "2321068222", "2324838733", "2331034993", "2478537346", "2493896707", "2615364356", "2674772441", "2796908055", "2883197357", "2905620818", "2914282094", "3106131069" ], "abstract": "abstract quasi one dimensional stereoregular polymers as for example polyacetylene are currently of considerable interest both experimentally as well as theoretically there are basically two different approaches for doing electronic structure calculations one method the so called crystal orbital method uses periodic boundary conditions and is essentially based on concepts of solid state theory the other method is essentially a quantum chemical method since it approximates the polymer by oligomers consisting of a finite number of monomer units i e by molecules of finite size in this way the highly developed technology of quantum chemical molecular programs can be used unfortunately oligomers of finite size are not necessarily able to model those features of a polymer which crucially depend on its in principle infinite extension however in such a case extrapolation techniques can be extremely helpful for example one can perform electronic structure calculations for a sequence of oligomers with an increasing number of monomer units in the next step one then can try to determine the limit of this sequence for an oligomer of infinite length with the help of suitable extrapolation methods several different extrapolation methods are discussed which are able to accomplish an extrapolation of energies and properties of oligomers to the infinite chain limit calculations for the ground state energy of polyacetylene are presented which demonstrate the practical usefulness of extrapolation methods", "title_raw": "Extrapolation methods for improving the convergence of oligomer calculations to the infinite chain limit of quasi-one-dimensional stereoregular polymers", "abstract_raw": "Abstract Quasi -one-dimensional stereoregular polymers as for example polyacetylene are currently of considerable interest, both experimentally as well as theoretically. There are basically two different approaches for doing electronic structure calculations: one method, the so-called crystal orbital method, uses periodic boundary conditions and is essentially based on concepts of solid state theory. The other method is essentially a quantum chemical method since it approximates the polymer by oligomers consisting of a finite number of monomer units, i.e., by molecules of finite size. In this way, the highly-developed technology of quantum chemical molecular programs can be used. Unfortunately, oligomers of finite size are not necessarily able to model those features of a polymer which crucially depend on its in principle infinite extension. However, in such a case extrapolation techniques can be extremely helpful. For example, one can perform electronic structure calculations for a sequence of oligomers with an increasing number of monomer units. In the next step, one then can try to determine the limit of this sequence for an oligomer of infinite length with the help of suitable extrapolation methods. Several different extrapolation methods are discussed which are able to accomplish an extrapolation of energies and properties of oligomers to the infinite chain limit. Calculations for the ground state energy of polyacetylene are presented which demonstrate the practical usefulness of extrapolation methods." }, { "paper": "2328491652", "venue": "35412551", "year": "2003", "title": "large full band gaps for photonic crystals in two dimensions computed by an inverse method with multigrid acceleration", "label": [ "186399060", "205951836", "2505209", "2524010", "2777335021", "137119250" ], "author": [ "2068346161", "2110322386", "2201405131", "2016232820" ], "reference": [ "1622427319", "1963680257", "1968077293", "1969123313", "1970168843", "1979646891", "1985737996", "1991643897", "1992713953", "1992897666", "1995904554", "1998123445", "2008790416", "2015776881", "2022322490", "2025169742", "2038492431", "2040968903", "2043362754", "2048280319", "2053385977", "2056051089", "2067494951", "2068420086", "2072303629", "2075689277", "2084173495", "2085553686", "2088470320", "2145750111", "2160313937", "2322059207", "2985152630" ], "abstract": "in this study two fast and accurate methods of inverse iteration with multigrid acceleration are developed to compute band structures of photonic crystals of general shape in particular we report two dimensional photonic crystals of silicon air with an optimal full band gap of gap midgap ratio deltaomega omega mid 0 2421 which is 30 larger than ever reported in the literature the crystals consist of a hexagonal array of circular columns each connected to its nearest neighbors by slender rectangular rods a systematic study with respect to the geometric parameters of the photonic crystals was made possible with the present method in drawing a three dimensional band gap diagram with reasonable computing time", "title_raw": "Large full band gaps for photonic crystals in two dimensions computed by an inverse method with multigrid acceleration", "abstract_raw": "In this study, two fast and accurate methods of inverse iteration with multigrid acceleration are developed to compute band structures of photonic crystals of general shape. In particular, we report two-dimensional photonic crystals of silicon air with an optimal full band gap of gap-midgap ratio Deltaomega/omega(mid)=0.2421, which is 30% larger than ever reported in the literature. The crystals consist of a hexagonal array of circular columns, each connected to its nearest neighbors by slender rectangular rods. A systematic study with respect to the geometric parameters of the photonic crystals was made possible with the present method in drawing a three-dimensional band-gap diagram with reasonable computing time." }, { "paper": "2060104854", "venue": "148709879", "year": "2003", "title": "a heap based algorithm for the study of one dimensional particle systems", "label": [ "11413529", "134757568" ], "author": [ "2051996262", "2067830153", "2051413374" ], "reference": [ "100509257", "333250973", "1559718699", "1709754610", "1966388600", "1970108713", "1986142788", "2000848746", "2002560134", "2012625213", "2033732620", "2047498479", "2054113582", "2067167494", "2077419263", "2084354931", "2089322017", "2092498533", "2141193341", "2143768871", "2752853835", "2796837256", "3105247087", "3198160809" ], "abstract": "", "title_raw": "A heap-based algorithm for the study of one-dimensional particle systems", "abstract_raw": "" }, { "paper": "2039416625", "venue": "56603566", "year": "2003", "title": "immersion and invariance adaptive control of linear multivariable systems", "label": [ "117312493", "199068039", "91581856", "60640748", "65244806", "107464732" ], "author": [ "2122154978", "2111888304", "1980711958" ], "reference": [ "1530782018", "1572161815", "1903352728", "1992957228", "1999227622", "2047993072", "2067603665", "2121290315", "2142428281", "2148104278", "2153901154", "2165678395", "2171492457" ], "abstract": "abstract we show in this paper that it is possible to globally adaptively stabilize linear multivariable systems with reduced prior knowledge of the high frequency gain in particular we relax the restrictive nongeneric symmetry condition usually required to solve this problem instrumental for the establishment of our result is the use of the new immersion and invariance approach to adaptive control recently proposed in the literature the controllers obtained with this technique are not certainty equivalent though smooth and without projections or overparameterizations and the resulting lyapunov functions contain cross terms between the plant states and the parameter errors", "title_raw": "Immersion and invariance adaptive control of linear multivariable systems", "abstract_raw": "Abstract We show in this paper that it is possible to globally adaptively stabilize linear multivariable systems with reduced prior knowledge of the high-frequency gain. In particular, we relax the restrictive (nongeneric) symmetry condition usually required to solve this problem. Instrumental for the establishment of our result is the use of the new immersion and invariance approach to adaptive control recently proposed in the literature. The controllers obtained with this technique are not certainty equivalent\u2014though smooth and without projections or overparameterizations\u2014and the resulting Lyapunov functions contain cross-terms between the plant states and the parameter errors." }, { "paper": "2070767505", "venue": "90727058", "year": "2003", "title": "pspace has constant round quantum interactive proof systems", "label": [ "57878261", "311688", "201768162", "197685441", "173613240", "159718280", "33577790", "203265346", "118615104" ], "author": [ "1944891737" ], "reference": [ "1511716344", "1580836907", "1631356911", "1970606468", "1989051052", "1991730713", "1992769799", "1993248778", "2016232593", "2017899870", "2019578639", "2028406173", "2032606560", "2032626654", "2048920728", "2057638793", "2071764857", "2080578129", "2082647621", "2090127958", "2096390054", "2097206148", "2101088258", "2102008187", "2148957455", "2160083149", "2180519974", "2293988196", "2741390383", "2911810069", "2913788899", "2952365484", "2987687226", "3023478445" ], "abstract": "in this paper we introduce quantum interactive proof systems which are interactive proof systems in which the prover and verifier may perform quantum computations and exchange quantum messages it is proved that every language in pspace has a quantum interactive proof system that requires a total of only three messages to be sent between the prover and verifier and has exponentially small one sided probability of error it follows that quantum interactive proof systems are strictly more powerful than classical interactive proof systems in the constant round case unless the polynomial time hierarchy collapses to the second level", "title_raw": "PSPACE has constant-round quantum interactive proof systems", "abstract_raw": "In this paper we introduce quantum interactive proof systems, which are interactive proof systems in which the prover and verifier may perform quantum computations and exchange quantum messages. It is proved that every language in PSPACE has a quantum interactive proof system that requires a total of only three messages to be sent between the prover and verifier and has exponentially small (one-sided) probability of error. It follows that quantum interactive proof systems are strictly more powerful than classical interactive proof systems in the constant-round case unless the polynomial time hierarchy collapses to the second level." }, { "paper": "2087870594", "venue": "73535193", "year": "2003", "title": "an iterative shooting method for a certain class of singular two point boundary value problems", "label": [ "135909967", "28826006", "4195266", "2778770139", "26955809", "159694833", "33577790", "82047721", "182310444", "52890695" ], "author": [ "2052761985", "2719901094" ], "reference": [ "589632285", "1489216560", "1568666422", "1605290597", "1778801682", "2047110175", "2088793591", "3173263824" ], "abstract": "abstract many problems in physics and engineering give rise to singular differential equations in this paper we consider a simple shooting method coupled with an iterative method for the numerical solution of a certain class of singular two point boundary value problems our approach enables us to take advantage of such highly accurate initial value solvers as multistep methods the singularity of the problem is dealt with in a purely algebraic way so that no special care is required when applying an initial value solver the accuracy of the method is the same as the accuracy of the ivp solver", "title_raw": "An iterative shooting method for a certain class of singular two-point boundary value problems\u2606", "abstract_raw": "Abstract Many problems in physics and engineering give rise to singular differential equations. In this paper, we consider a simple shooting method coupled with an iterative method for the numerical solution of a certain class of singular two-point boundary value problems. Our approach enables us to take advantage of such highly accurate initial value solvers as multistep methods. The singularity of the problem is dealt with in a purely algebraic way so that no special care is required when applying an initial value solver. The accuracy of the method is the same as the accuracy of the IVP solver." }, { "paper": "2087628748", "venue": "158241587", "year": "2003", "title": "constructing solutions of hamilton jacobi equations for 2d fields with one component by means of backlund transformations", "label": [ "54937798", "158622935", "2778860007", "24167531", "92047909", "200741047", "37914503" ], "author": [ "2613904767", "277793134", "2698456025" ], "reference": [ "9454739", "56930746", "75417299", "1490198998", "1505321835", "1513060653", "1606041057", "1976089655", "2001544532", "2008056081", "2032231305", "2037065062", "2046286543", "2050715267", "2061200549", "2065783621", "2067434917", "2077271539", "2195568742", "2313810294", "3100158226" ], "abstract": "the hamilton jacobi formalism generalized to two dimensional field theories according to lepage s canonical framework is applied to several relativistic real scalar fields e g massless and massive klein gordon sinh and sine gordon liouville and 4 theories the relations between the euler lagrange and the hamilton jacobi equations are discussed in dedonder and weyl s and the corresponding wave fronts are calculated in caratheodory s formulation unlike mechanics one has to impose certain integrability conditions on the velocity fields to guarantee the transversality relations and especially the dynamical equivalence between hamilton jacobi wave fronts and fields of extremals embedded therein backlund transformations play a crucial role in solving the resulting system of coupled nonlinear pdes", "title_raw": "Constructing solutions of Hamilton\u2013Jacobi equations for 2D fields with one component by means of B\u00e4cklund transformations", "abstract_raw": "The Hamilton\u2013Jacobi formalism generalized to two-dimensional field theories according to Lepage\u2019s canonical framework is applied to several relativistic real scalar fields, e.g., massless and massive Klein\u2013Gordon, Sinh and Sine\u2013Gordon, Liouville and \u03c64 theories. The relations between the Euler\u2013Lagrange and the Hamilton\u2013Jacobi equations are discussed in DeDonder and Weyl\u2019s and the corresponding wave fronts are calculated in Caratheodory\u2019s formulation. Unlike mechanics one has to impose certain integrability conditions on the velocity fields to guarantee the transversality relations and especially the dynamical equivalence between Hamilton\u2013Jacobi wave fronts and fields of extremals embedded therein. Backlund transformations play a crucial role in solving the resulting system of coupled nonlinear PDEs." }, { "paper": "2063814571", "venue": "169411308", "year": "2003", "title": "bicompletion of lowen fuzzy quasi uniform spaces", "label": [ "202444582", "134306372", "2778029271" ], "author": [ "1428052106" ], "reference": [ "568516392", "1996803640", "1998164148", "1998671516", "2016251300", "2025409183", "2029790914", "2054110505", "2056664771", "2057106845", "2094576521", "2153689313" ], "abstract": "this paper is devoted to the construction of a bicompletion of lowen fuzzy quasi uniform spaces or just 0 1 fuzzy quasi uniform spaces in this paper and the study of that bicompletion which appears to have a number of properties that one could resonably expect in analogy to the situation in ordinary quasi uniform spaces i e denseness of the original spaces in its bicompletion extension property of quasi uniformly continuous maps", "title_raw": "Bicompletion of Lowen fuzzy quasi-uniform spaces", "abstract_raw": "This paper is devoted to the construction of a bicompletion of Lowen fuzzy quasi-uniform spaces (or just [0,1]-fuzzy quasi-uniform spaces in this paper) and the study of that bicompletion, which appears to have a number of properties that one could resonably expect in analogy to the situation in ordinary quasi-uniform spaces, i.e., denseness of the original spaces in its bicompletion, extension property of quasi-uniformly continuous maps." }, { "paper": "2066816316", "venue": "3006183880", "year": "2003", "title": "open loop control of absolutely unstable domains", "label": [ "194145944", "161362739", "2778578119", "65244806" ], "author": [ "2258795382" ], "reference": [ "1517289552", "1536945077", "1646763650", "1657347807", "1964173923", "1971697991", "1985817094", "1995163178", "2011705376", "2014349757", "2020514021", "2031447226", "2080539339", "2086980120", "2099551355", "2100975431", "2104102786", "2122309116", "2129021337", "2155557545" ], "abstract": "spatially varying systems with a central absolutely unstable region are known to give rise to self sustained finite amplitude globally synchronized structures the present investigation shows how such an intrinsic behaviour may be controlled by small amplitude forcing applied upstream of the fully developed oscillations this technique allows the tuning of the entire system to any frequency in a wide range expending only an exponentially small power", "title_raw": "Open-loop control of absolutely unstable domains", "abstract_raw": "Spatially varying systems with a central absolutely unstable region are known to give rise to self\u2013sustained finite\u2013amplitude globally synchronized structures. The present investigation shows how such an intrinsic behaviour may be controlled by small\u2013amplitude forcing applied upstream of the fully developed oscillations. This technique allows the tuning of the entire system to any frequency in a wide range, expending only an exponentially small power." }, { "paper": "2052501680", "venue": "189344224", "year": "2003", "title": "comparative analysis of extrinsic and intrinsic cohesive models of dynamic fracture", "label": [ "2524010", "49344536", "71172506" ], "author": [ "2603668862", "423635098" ], "reference": [ "1510184633", "1660955754", "1963662094", "1968928938", "1990834492", "1992332786", "1998161830", "1999030693", "2000164347", "2002537385", "2012415251", "2053417077", "2053838779", "2081055856", "2093548710", "2109390912", "2136983052", "2143636082" ], "abstract": "a comparative analysis of intrinsic and extrinsic cohesive models has been performed for the case of spontaneous and steady state dynamic crack propagation spontaneous crack propagation was simulated using a spectral form of the elastodynamic boundary integral equation while steady state solutions were obtained by numerically integrating the governing cauchy singular integral equation spontaneous crack propagation results showed that intrinsic models are less numerically stable than the extrinsic ones under steady state propagation conditions some intrinsic cohesive models lead to unrealistic results as the crack opening velocity becomes negative at the cohesive zone tip by imposing a positive crack opening acceleration at the cohesive zone tip the envelope of the required minimum initial strength has been calculated", "title_raw": "Comparative analysis of extrinsic and intrinsic cohesive models of dynamic fracture", "abstract_raw": "A comparative analysis of intrinsic and extrinsic cohesive models has been performed for the case of spontaneous and steady-state dynamic crack propagation. Spontaneous crack propagation was simulated using a spectral form of the elastodynamic boundary integral equation, while steady-state solutions were obtained by numerically integrating the governing Cauchy singular integral equation. Spontaneous crack propagation results showed that intrinsic models are less numerically stable than the extrinsic ones. Under steady-state propagation conditions, some intrinsic cohesive models lead to unrealistic results as the crack opening velocity becomes negative at the cohesive zone tip. By imposing a positive crack opening acceleration at the cohesive zone tip, the envelope of the required minimum initial strength has been calculated." }, { "paper": "2078252733", "venue": "189344224", "year": "2003", "title": "analysis of stress intensity factors of a ring shaped interface crack", "label": [ "92571104", "73905626", "134306372", "48753275", "54303661" ], "author": [ "1976302037", "1861557656", "2100998518", "2305458790" ], "reference": [ "198876003", "303704274", "633494946", "1967498392", "1990239287", "2002264445", "2003950111", "2007504746", "2021661634", "2028275732", "2043937996", "2064844842", "2067616843", "2068980320", "2071738869", "2078634265", "2085846288", "2090363099", "2093194903", "2319602812", "2480818738" ], "abstract": "in this paper numerical solutions of singular integral equations are discussed in the analysis of axi symmetric interface cracks under torsion and tension the problems of a ring shaped interface crack are formulated in terms of a system of singular integral equations on the basis of the body force method in the numerical analysis unknown body force densities are approximated by the products of the fundamental density functions and power series where the fundamental densities are chosen to express a two dimensional interface crack exactly the accuracy of the present analysis is verified by comparing the present results with the results obtained by other researchers for the limiting cases of the geometries the calculation shows that the present method gives rapidly converging numerical results for those problems as well as for ordinary crack problems in homogeneous material the stress intensity factors of a ring shaped interface crack are shown in tables and charts with varying the material combinations and also geometrical conditions", "title_raw": "Analysis of stress intensity factors of a ring-shaped interface crack", "abstract_raw": "In this paper, numerical solutions of singular integral equations are discussed in the analysis of axi-symmetric interface cracks under torsion and tension. The problems of a ring-shaped interface crack are formulated in terms of a system of singular integral equations on the basis of the body force method. In the numerical analysis, unknown body force densities are approximated by the products of the fundamental density functions and power series, where the fundamental densities are chosen to express a two-dimensional interface crack exactly. The accuracy of the present analysis is verified by comparing the present results with the results obtained by other researchers for the limiting cases of the geometries. The calculation shows that the present method gives rapidly converging numerical results for those problems as well as for ordinary crack problems in homogeneous material. The stress intensity factors of a ring-shaped interface crack are shown in tables and charts with varying the material combinations and also geometrical conditions." }, { "paper": "1973247589", "venue": "73535193", "year": "2003", "title": "some relationships between certain families of ordinary and fractional differential equations", "label": [ "97826883", "134306372", "2126413", "122700484", "204854254", "84629840", "186219872", "28826006", "33695381", "163105828" ], "author": [ "2642905086", "2111428358", "1941648048" ], "reference": [ "433794350", "1586297312", "1998119839", "2012451068", "2051314225", "2078067621", "2095835509", "2787959293", "2994685737", "3141151088" ], "abstract": "abstract in recent years many authors demonstrated the usefulness of fractional calculus operators in the derivation of explicit particular solutions of a number of linear ordinary and partial differential equations of the second and higher orders in particular by making use of the operators of fractional calculus based upon the cauchy goursat integral formula a certain family of nearly simple harmonic vibration equations was considered systematically in a series of papers which appeared quite recently the main object of the present sequel to all these earlier works is to investigate some relationships between such families of fractional differential equations and certain classes of ordinary differential equations a preliminary interpretation of this family of nearly simple harmonic vibration equations by means of an example involving linear electric circuits is also provided", "title_raw": "Some Relationships Between Certain Families of Ordinary and Fractional Differential Equations", "abstract_raw": "Abstract In recent years, many authors demonstrated the usefulness of fractional calculus operators in the derivation of (explicit) particular solutions of a number of linear ordinary and partial differential equations of the second and higher orders. In particular, by making use of the operators of fractional calculus based upon the Cauchy-Goursat integral formula, a certain family of nearly-simple harmonic vibration equations was considered systematically in a series of papers which appeared quite recently. The main object of the present sequel to all these earlier works is to investigate some relationships between such families of fractional differential equations and certain classes of ordinary differential equations. A preliminary interpretation of this family of nearly-simple harmonic vibration equations by means of an example involving linear electric circuits is also provided." }, { "paper": "2011364303", "venue": "24688465", "year": "2003", "title": "peculiarities of resonance chaos suppression in populations with non overlapping generations", "label": [ "65244806" ], "author": [ "2666178369", "3032413904", "2657122913" ], "reference": [ "1652087296", "1973879529", "1985508528", "1997129299", "2013214846", "2016904883", "2018373403", "2021927095", "2029353230", "2029816663", "2034008329", "2034854328", "2041392703", "2049865896", "2056942998", "2059997098", "2066931334", "2081432959", "2100891518", "2165602985" ], "abstract": "peculiarities of the resonance chaos suppression rcs phenomenon are studied for biological populations with non overlapping generations under a periodic perturbation of the malthusian and carrying capacity parameters for the two parameter ricker map model this phenomenon is shown to be described by splitting structures in the resonance neighborhood that differ from classical unimodal curves the perturbation amplitude sufficient for the rcs may be very small compared to the parameter values the periodical changes from a chaotic pattern to a cyclic one are found for the population dynamics when the perturbation periods have definite values the hierarchy of oscillation regimes arises with periods that differ by several orders of magnitude", "title_raw": "Peculiarities of resonance chaos suppression in populations with non-overlapping generations", "abstract_raw": "Peculiarities of the resonance chaos suppression (RCS) phenomenon are studied for biological populations with non-overlapping generations under a periodic perturbation of the Malthusian and carrying capacity parameters for the two-parameter Ricker map model. This phenomenon is shown to be described by splitting structures in the resonance neighborhood that differ from classical unimodal curves. The perturbation amplitude sufficient for the RCS may be very small compared to the parameter values. The periodical changes from a chaotic pattern to a cyclic one are found for the population dynamics when the perturbation periods have definite values. The hierarchy of oscillation regimes arises with periods that differ by several orders of magnitude." }, { "paper": "2142110791", "venue": "50372074", "year": "2003", "title": "direct method for reliability computation of k out of n g systems", "label": [ "118615104", "91575142", "45374587", "11413529" ], "author": [ "2660783558" ], "reference": [ "1601605178", "1980426875", "2003151404", "2008152638", "2009822412", "2054639345", "2069807704", "2084925475", "2093590287", "2093858678", "2128401471", "2773389811" ], "abstract": "a k out of n g system has n independent non identical components the system fails if any k components fail this paper gives simple and efficient computational method for determining the system reliability of k out of n systems having unequal and equal reliabilities for components in both the cases for a given n and k the system reliability is product of only p i values where as in all the other existing methods system reliability is product of p i and q i values", "title_raw": "Direct method for reliability computation of k-out-of-n: G systems", "abstract_raw": "A k-out-of-n: G system has n independent non-identical components; the system fails if any k components fail. This paper gives simple and efficient computational method for determining the system reliability of k out of n systems having unequal and equal reliabilities for components. In both the cases, for a given n and k the system reliability is product of only p\"i values where as in all the other existing methods system reliability is product of p\"i and q\"i values." }, { "paper": "2020308666", "venue": "169411308", "year": "2003", "title": "h \u03bb completely hausdorff axiom on l topological spaces", "label": [ "191399826", "147902342", "73895122", "43494777", "114614502", "84496893", "73225184", "118615104" ], "author": [ "2668437070" ], "reference": [ "94805770", "108324036", "580829536", "1494765631", "1510935429", "1582269801", "1965647290", "1972077758", "1977155145", "1988233222", "1993666333", "1998671516", "2011949087", "2019441837", "2025520682", "2026318619", "2035777352", "2036038117", "2036968321", "2037743428", "2042195077", "2042282951", "2048795066", "2071329245", "2075324717", "2089431773", "2347490332", "3145308198" ], "abstract": "this paper defines the new concept of completely hausdorff axiom of an l topological space by means of l continuous mappings from an l topological space to the refined hutton s unit l interval by wang some characterizations of the completely hausdorff axiom defined in this paper are given and many nice properties of this kind of completely hausdorff axiom are proved for example it is hereditary and product invariant the refined hutton s unit l interval satisfy this kind of completely hausdorff axiom and when an l topological space satisfy this kind of completely hausdorff axiom every f convergent ideal does not have f limit points with different supports etc the relation between the completely hausdorff axiom defined in the paper and other separation axioms is discussed also", "title_raw": "H(\u03bb)-completely Hausdorff axiom on L-topological spaces", "abstract_raw": "This paper defines the new concept of completely Hausdorff axiom of an L-topological space by means of L-continuous mappings from an L-topological space to the refined Hutton's unit L-interval by Wang. Some characterizations of the completely Hausdorff axiom, defined in this paper, are given, and many nice properties of this kind of completely Hausdorff axiom are proved. For example, it is hereditary and product invariant; the refined Hutton's unit L-interval satisfy this kind of completely Hausdorff axiom, and when an L-topological space satisfy this kind of completely Hausdorff axiom, every f-convergent ideal does not have f-limit points with different supports etc. The relation between the completely Hausdorff axiom defined in the paper and other separation axioms is discussed also." }, { "paper": "2070726390", "venue": "50372074", "year": "2003", "title": "instability results for certain systems of fourth and fifth order differential equations", "label": [ "78045399", "114460028", "114614502", "134306372" ], "author": [ "2138603634" ], "reference": [ "1979235780", "2107077501" ], "abstract": "the main purpose of this paper is to give sufficient conditions for the instability of the trivial solution for each of the following x 4 email protected h x email protected email protected email protected email protected g x email protected f x 0 x 5 ax 4 email protected h email protected email protected g x email protected f x 0 x 5 email protected email protected email protected email protected email protected email protected email protected f x 0", "title_raw": "Instability results for certain systems of fourth and fifth order differential equations", "abstract_raw": "The main purpose of this paper is to give sufficient conditions for the instability of the trivial solution for each of the following:X^(^4^)[email\u00a0protected]?+H(X,[email\u00a0protected]?,[email\u00a0protected]?,[email\u00a0protected]?)[email\u00a0protected]?+G(X)[email\u00a0protected]?+F(X)=0,X^(^5^)+AX^(^4^)[email\u00a0protected]?+H([email\u00a0protected]?)[email\u00a0protected]?+G(X)[email\u00a0protected]?+F(X)=0,X^(^5^)[email\u00a0protected]([email\u00a0protected]?)[email\u00a0protected][email\u00a0protected]([email\u00a0protected]?)[email\u00a0protected]([email\u00a0protected]?)+F(X)=0." }, { "paper": "1964812605", "venue": "35412551", "year": "2003", "title": "free boundary problems describing two dimensional pulse recycling and motion in semiconductors", "label": [ "108257041", "62354387", "205147927", "154416045", "42045870", "70615421", "134306372", "65826597", "182310444" ], "author": [ "2135848538", "2019144874", "2474451612" ], "reference": [ "111157985", "1967176020", "1994086968", "1999244633", "2020940570", "2033374204", "2048734828", "2054113582", "2056528953", "2091280608", "2123760506", "2151081071", "2158930336", "2493854107", "2612743911" ], "abstract": "an asymptotic analysis of the gunn effect in two dimensional samples of bulk n gaas with circular contacts is presented a moving pulse far from contacts is approximated by a moving free boundary separating regions where the electric potential solves a laplace equation with subsidiary boundary conditions the dynamical condition for the motion of the free boundary is a hamilton jacobi equation we obtain the exact solution of the free boundary problem fbp in simple one dimensional and axisymmetric geometries the solution of the fbp is obtained numerically in the general case and compared with the numerical solution of the full system of equations the agreement is excellent so that the fbp can be adopted as the basis for an asymptotic study of the multidimensional gunn effect", "title_raw": "Free-boundary problems describing two-dimensional pulse recycling and motion in semiconductors", "abstract_raw": "An asymptotic analysis of the Gunn effect in two-dimensional samples of bulk n GaAs with circular contacts is presented. A moving pulse far from contacts is approximated by a moving free boundary separating regions where the electric potential solves a Laplace equation with subsidiary boundary conditions. The dynamical condition for the motion of the free boundary is a Hamilton-Jacobi equation. We obtain the exact solution of the free-boundary problem (FBP) in simple one-dimensional and axisymmetric geometries. The solution of the FBP is obtained numerically in the general case and compared with the numerical solution of the full system of equations. The agreement is excellent so that the FBP can be adopted as the basis for an asymptotic study of the multidimensional Gunn effect." }, { "paper": "1979367777", "venue": "203348814", "year": "2003", "title": "o h 2 global pointwise algorithms for delay quadratic problems in the calculus of variations", "label": [ "129844170", "126255220", "91575142", "182310444", "33577790", "2777984123", "97985569", "11413529", "48753275" ], "author": [ "1995662193", "2240187629" ], "reference": [ "1964090914", "1967386859", "1975631518", "1984605095", "1987772339", "2010142232", "2012636239", "2024138232", "2058966442", "2140850191" ], "abstract": "the main purpose of this paper is to give numerical algorithms and the error analysis for delay quadratic problems in the calculus of variations these methods are new efficient and accurate and have a global a priori error of o h2 where h is the distance between any two successive node points we also derive the results for the general numerical delay problem but we focus on proving our results in the simpler quadratic case since the extra technical numerical details have been given previously by the second author in addition the authors have previously shown how to reformulate general delay constrained problems in optimal control theory constrained calculus of variations as unconstrained delay problems thus our numerical results and methods will hold for these general constrained problems also finally we note that our algorithm which solves the stationary condition s numerically avoids the more difficult problems of piecing the solution of second order equations together and requires less smoothness in the solution thus we replace difficult second order boundary value problems with the easier task of approximating definite integrals involving first order derivatives", "title_raw": "O ( h 2 ) Global Pointwise Algorithms for Delay Quadratic Problems in the Calculus of Variations", "abstract_raw": "The main purpose of this paper is to give numerical algorithms and the error analysis for delay quadratic problems in the calculus of variations. These methods are new, efficient, and accurate and have a global a priori error of O(h2), where h is the distance between any two successive node points.\r\nWe also derive the results for the general, numerical, delay problem, but we focus on proving our results in the simpler quadratic case since the extra technical numerical details have been given previously by the second author. In addition, the authors have previously shown how to reformulate general delay constrained problems in optimal control theory/constrained calculus of variations as unconstrained delay problems. Thus our numerical results and methods will hold for these general constrained problems also.\r\nFinally, we note that our algorithm, which solves the stationary condition(s) numerically, avoids the more difficult problems of piecing the solution of second order equations together and requires less smoothness in the solution. Thus we replace difficult second order boundary value problems with the easier task of approximating definite integrals involving first order derivatives." }, { "paper": "2136571043", "venue": "4502562", "year": "2003", "title": "maximum rank distance codes as space time codes", "label": [ "73150493", "78944582", "118615104", "157125643", "169021753", "2400350", "108509264", "114504821", "114614502", "2096984" ], "author": [ "2048862953", "1272986971", "1897771083" ], "reference": [ "1535816011", "1606480398", "2010559099", "2090831658", "2107080958", "2114209415", "2118040894", "2124439136", "2141146526", "2153951241" ], "abstract": "the critical design criterion for space time codes in asymptotically good channels is the minimum rank between codeword pairs rank codes are a two dimensional matrix code construction where by the rank is the metric of merit we look at the application of rank codes to space time code design in particular we provide construction methods of full rank codes over different complex signal constellations for arbitrary numbers of antennas and codeword periods we also derive a singleton type bound on the rate of a code for the rank metric and we show that rank codes satisfy this bound with equality", "title_raw": "Maximum rank distance codes as space-time codes", "abstract_raw": "The critical design criterion for space-time codes in asymptotically good channels is the minimum rank between codeword pairs. Rank codes are a two-dimensional matrix code construction where by the rank is the metric of merit. We look at the application of rank codes to space-time code design. In particular, we provide construction methods of full-rank codes over different complex signal constellations, for arbitrary numbers of antennas, and codeword periods. We also derive a Singleton-type bound on the rate of a code for the rank metric, and we show that rank codes satisfy this bound with equality." }, { "paper": "2043449087", "venue": "3006183880", "year": "2003", "title": "boussinesq type formulations for fully nonlinear and extremely dispersive water waves derivation and analysis", "label": [ "134306372", "22222204", "158622935", "91188154" ], "author": [ "2154602320", "2160005364", "2164566622" ], "reference": [ "99005975", "1570698979", "1977607363", "1979150529", "1984338994", "1985908696", "1989891199", "2006976276", "2011962991", "2016478240", "2030725319", "2060081309", "2086410801", "2102999836", "2147480329", "2167713439", "2168312404", "2502155704" ], "abstract": "boussinesq formulations valid for highly dispersive and highly nonlinear water waves are derived with the objective of improving the accuracy of the vertical variation of the velocity field as well", "title_raw": "Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis", "abstract_raw": "Boussinesq formulations valid for highly dispersive and highly nonlinear water waves are derived with the objective of improving the accuracy of the vertical variation of the velocity field as well..." }, { "paper": "2108512040", "venue": "165651092", "year": "2003", "title": "singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra", "label": [ "16171025", "18591234", "27016315", "134306372", "180670084", "92571104", "90119067", "51577431", "135909967" ], "author": [ "2806022057", "2104288973", "2304955927" ], "reference": [ "1563154332", "1995194190", "2006808706", "2049232803", "2054380687", "2099000848", "2111996730", "2117088022", "2127570421", "2131797873", "2143634102" ], "abstract": "a numerical solution of integral equations typically requires calculation of integrals with singular kernels the integration of singular terms can be considered either by purely numerical techniques e g duffy s method polar co ordinate transformation or by singularity extraction in the latter method the extracted singular integral is calculated in closed form and the remaining integral is calculated numerically this method has been well established for linear and constant shape functions in this paper we extend the method for polynomial shape functions of arbitrary order we present recursive formulas by which we can extract any number of terms from the singular kernel defined by the fundamental solution of the helmholtz equation or its gradient and integrate the extracted terms times a polynomial shape function in closed form over plane triangles or tetrahedra the presented formulas generalize the singularity extraction technique for surface and volume integral equation methods with high order basis functions numerical experiments show that the developed method leads to a more accurate and robust integration scheme and in many cases also a faster method than for example duffy s transformation copyright 2003 john wiley sons ltd", "title_raw": "Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra", "abstract_raw": "A numerical solution of integral equations typically requires calculation of integrals with singular kernels. The integration of singular terms can be considered either by purely numerical techniques, e.g. Duffy's method, polar co-ordinate transformation, or by singularity extraction. In the latter method the extracted singular integral is calculated in closed form and the remaining integral is calculated numerically. This method has been well established for linear and constant shape functions. In this paper we extend the method for polynomial shape functions of arbitrary order. We present recursive formulas by which we can extract any number of terms from the singular kernel defined by the fundamental solution of the Helmholtz equation, or its gradient, and integrate the extracted terms times a polynomial shape function in closed form over plane triangles or tetrahedra. The presented formulas generalize the singularity extraction technique for surface and volume integral equation methods with high-order basis functions. Numerical experiments show that the developed method leads to a more accurate and robust integration scheme, and in many cases also a faster method than, for example, Duffy's transformation. Copyright \u00a9 2003 John Wiley & Sons, Ltd." }, { "paper": "2014995154", "venue": "73535193", "year": "2003", "title": "learning classification rules from data", "label": [ "58442840", "48164120", "39431504", "149441793" ], "author": [ "2156668854" ], "reference": [ "116691904", "146100937", "1504694836", "1508620301", "1554309553", "1570286060", "1582971263", "1596324102", "1978515644", "2043909051", "2084812512", "2085412104", "2125055259", "2136000097", "2159047538", "3009784374", "3112020351" ], "abstract": "abstract we present elem2 a machine learning system that induces classification rules from a set of data based on a heuristic search over a hypothesis space elem2 is distinguished from other rule induction systems in three aspects first it uses a new heuristtic function to guide the heuristic search the function reflects the degree of relevance of an attribute value pair to a target concept and leads to selection of the most relevant pairs for formulating rules second elem2 handles inconsistent training examples by defining an unlearnable region of a concept based on the probability distribution of that concept in the training data the unlearnable region is used as a stopping criterion for the concept learning process which resolves conflicts without removing inconsistent examples third elem2 employs a new rule quality measure in its post pruning process to prevent rules from overfitting the data the rule quality formula measures the extent to which a rule can discriminate between the positive and negative examples of a class we describe features of elem2 its rule induction algorithm and its classification procedure we report experimental results that compare elem2 with c4 5 and cn2 on a number of datasets", "title_raw": "Learning classification rules from data", "abstract_raw": "Abstract We present ELEM2, a machine learning system that induces classification rules from a set of data based on a heuristic search over a hypothesis space. ELEM2 is distinguished from other rule induction systems in three aspects. First, it uses a new heuristtic function to guide the heuristic search. The function reflects the degree of relevance of an attribute-value pair to a target concept and leads to selection of the most relevant pairs for formulating rules. Second, ELEM2 handles inconsistent training examples by defining an unlearnable region of a concept based on the probability distribution of that concept in the training data. The unlearnable region is used as a stopping criterion for the concept learning process, which resolves conflicts without removing inconsistent examples. Third, ELEM2 employs a new rule quality measure in its post-pruning process to prevent rules from overfitting the data. The rule quality formula measures the extent to which a rule can discriminate between the positive and negative examples of a class. We describe features of ELEM2, its rule induction algorithm and its classification procedure. We report experimental results that compare ELEM2 with C4.5 and CN2 on a number of datasets." }, { "paper": "2012116957", "venue": "203348814", "year": "2003", "title": "a small eddy correction method for nonlinear dissipative evolutionary equations", "label": [ "93779851", "159694833", "48753275", "186899397", "23463724", "134306372", "85189116", "158622935" ], "author": [ "2132981530", "2712423802" ], "reference": [ "1594759473", "1969344211", "1970723296", "1970843247", "1972034106", "1991242104", "2003377329", "2020329650", "2023743841", "2037044940", "2037688108", "2062860872", "2066949116", "2085326377", "2088284851", "2091680275", "2131778920", "2164494944", "2477040106", "2535973907" ], "abstract": "considering the interaction between the large and small eddy components of solutions and using the idea of the newton iteration a small eddy correction method is proposed for approximating and numerically solving nonlinear dissipative pdes of parabolic type in particular the navier stokes equations nse we assume that the large eddy approximation to the solution is known formally applying the newton iterative procedure to the small eddy equation we then generate approximate systems it is shown that the first two steps in fact lead to the standard galerkin method sgm and the so called optimum nonlinear galerkin method ong and therefore the small eddy correction method is actually a certain generalization of sgm and ong the boundedness and convergence analysis are presented in the framework of the two dimensional nse the results show that the small eddy correction method can greatly improve the accuracy of sgm approximate solutions", "title_raw": "A Small Eddy Correction Method for Nonlinear Dissipative Evolutionary Equations", "abstract_raw": "Considering the interaction between the large and small eddy components of solutions and using the idea of the Newton iteration, a small eddy correction method is proposed for approximating and numerically solving nonlinear dissipative PDEs of parabolic type, in particular the Navier--Stokes equations (NSE). We assume that the large eddy approximation to the solution is known. Formally applying the Newton iterative procedure to the small eddy equation, we then generate approximate systems. It is shown that the first two steps in fact lead to the standard Galerkin method (SGM) and the so-called optimum nonlinear Galerkin method (ONG), and therefore the small eddy correction method is actually a certain generalization of SGM and ONG. The boundedness and convergence analysis are presented in the framework of the two-dimensional NSE. The results show that the small eddy correction method can greatly improve the accuracy of SGM approximate solutions." }, { "paper": "1986532134", "venue": "50372074", "year": "2003", "title": "improvement of numerical solution by boundary value technique for singularly perturbed one dimensional reaction diffusion problem", "label": [ "89407435", "48753275", "181330731", "78045399", "51544822", "82047721", "165160513", "182310444", "134306372" ], "author": [ "2651122884" ], "reference": [ "1524707262", "1547666981", "1976549596", "1977322300", "1990562152", "2002637778", "2006367797", "2008738581", "2018032381", "2021426558", "2036371403", "2042811925", "2049889663", "2056692226", "2064164696", "2081108963", "2085676064", "2095464465", "2119828074", "2142068747", "2326647020", "2789002396", "2999148762" ], "abstract": "a class of singularly perturbed two point boundary value problems bvps for second order ordinary differential equations in self adjoint form arising in the study of chemical catalysis and michaelis menten process in biology is considered in order to solve them a numerical method as in appl math comput 55 1993 31 is proposed the essential idea in this method is to divide the domain of the differential equation into three non overlapping subdomains and solve the given equations over these regions separately as three two point bvps numerically the inner region problems are solved using a fitted operator method uniform numerical methods for problems with initial and boundary layers boole press dublin 1980 whereas the outer region problem is solved using a classical central difference method the boundary conditions at the transition points are obtained using the zero order asymptotic expansion approximation to the solution of the problem this method is well suited for parallel computing and an algorithm for the same is given error estimates are derived for the numerical solution some schemes for self adjoint equations in conservation form are given using newton s method of quasilinearization a class of semilinear problems are also solved numerical experiments are conducted it is found that the present method performs better than the fitted mesh method fitted numerical methods for singular perturbation problems world scientific singapore 1996 and higher order method numeriche mathematik 56 1990 675", "title_raw": "Improvement of numerical solution by boundary value technique for singularly perturbed one dimensional reaction diffusion problem", "abstract_raw": "A class of singularly perturbed two point boundary value problems (BVPs) for second order ordinary differential equations in self-adjoint form arising in the study of chemical catalysis and Michaelis-Menten process in biology is considered. In order to solve them, a numerical method as in [Appl. Math. Comput. 55 (1993) 31] is proposed. The essential idea in this method is to divide the domain of the differential equation into three non-overlapping subdomains and solve the given equations over these regions separately as three two-point BVPs numerically. The inner region problems are solved using a fitted operator method [Uniform Numerical Methods for Problems with Initial and Boundary Layers, Boole press, Dublin, 1980], whereas the outer region problem is solved using a classical central difference method. The boundary conditions at the transition points are obtained using the zero order asymptotic expansion approximation to the solution of the problem. This method is well suited for parallel computing and an algorithm for the same is given. Error estimates are derived for the numerical solution. Some schemes for self-adjoint equations in conservation form are given. Using Newton's method of quasilinearization, a class of semilinear problems are also solved. Numerical experiments are conducted. It is found that the present method performs better than the fitted mesh method [Fitted Numerical Methods for Singular Perturbation Problems, World Scientific, Singapore, 1996] and higher order method [Numeriche Mathematik 56 (1990) 675]." }, { "paper": "2042205763", "venue": "171170845", "year": "2003", "title": "singularities and chern weil theory ii geometric atomicity", "label": [ "118615104", "207944066", "12843", "2777752288", "2780130068", "44594293", "16171025", "51255310", "204707403" ], "author": [ "2106768379", "2595147203" ], "reference": [ "1078139", "42162265", "168211101", "199516873", "1490039160", "1522020530", "2023511363", "2025573602", "2029225692", "2044356794", "2045279459", "2045589783", "2065720528", "2070959600", "2079324547", "2334842630", "2492526546", "2594057360", "2950309564", "2977557108" ], "abstract": "this paper introduces a general method for relating characteristic classes to singularities of a bundle map the method is based on the notion ofgeometric atomicity this is a property of bundle maps e f which universally guarantees the existence of certain limits arising in the theory of singular connections under this hypothesis each characteristic form8 of e or f satisfies an equation of the form 8 l d t where l is an explicit localization of8 along the singularities of and t is a canonical form with locally integrable coefficients the method is constructive and leads to explicit calculations for normal maps those transversal to the universal singularity sets it retrieves classical formulas of r macpherson at the level of forms and currents cf part i it also produces such formulas for direct sum and tensor product mappings these are new even at the topological level the condition of geometric atomicity is quite broad and holds in essentially every case of interest including all real analytic bundle maps an important aspect of the theory is that it applies even in cases of excess dimension that is where the the singularity sets of have dimensions greater than those of the generic map the method yields explicit calculations in this general context a number of examples are worked out in detail", "title_raw": "Singularities and Chern-Weil theory, II: Geometric atomicity", "abstract_raw": "This paper introduces a general method for relating characteristic classes to singularities of a bundle map. The method is based on the notion ofgeometric atomicity. This is a property of bundle maps : E ! F which universally guarantees the existence of certain limits arising in the theory of singular connections. Under this hypothesis each characteristic form8 of E or F satisfies an equation of the form 8= L+ d T, where L is an explicit localization of8 along the singularities of and T is a canonical form with locally integrable coefficients. The method is constructive and leads to explicit calculations. For normal maps (those transversal to the universal singularity sets) it retrieves classical formulas of R. MacPherson at the level of forms and currents (cf. Part I). It also produces such formulas for direct sum and tensor product mappings. These are new even at the topological level. The condition of geometric atomicity is quite broad and holds in essentially every case of interest, including all real analytic bundle maps. An important aspect of the theory is that it applies even in cases of \u201cexcess dimension,\u201d that is, where the the singularity sets of have dimensions greater than those of the generic map. The method yields explicit calculations in this general context. A number of examples are worked out in detail." }, { "paper": "2058690280", "venue": "95464858", "year": "2003", "title": "consistent tests for stochastic dominance", "label": [ "82581908", "169857963", "149782125", "33252445", "32645036", "19499675", "87007009" ], "author": [ "2064777730", "2237770568" ], "reference": [ "346282077", "1494426754", "1509689762", "1970162248", "1972019717", "1993002445", "1998691944", "2004119563", "2010029425", "2010168683", "2010353172", "2011688603", "2015363455", "2026242791", "2026920987", "2063863971", "2072324571", "2078864692", "2085652433", "2100084310", "2154958688", "2802739963", "3121641555", "3123105498", "3143261911" ], "abstract": "methods are proposed for testing stochastic dominance of any pre specified order with primary interest in the distributions of income we consider consistent tests that are similar to kolmogorov smirnov tests of the complete set of restrictions that relate to the various forms of stochastic dominance for such tests in the case of tests for stochastic dominance beyond first order we propose and justify a variety of approaches to inference based on simulation and the bootstrap we compare these approaches to one another and to alternative approaches based on multiple comparisons in the context of a monte carlo experiment and an empirical example", "title_raw": "CONSISTENT TESTS FOR STOCHASTIC DOMINANCE", "abstract_raw": "Methods are proposed for testing stochastic dominance of any pre-specified order, with primary interest in the distributions of income. We consider consistent tests, that are similar to Kolmogorov-Smirnov tests, of the complete set of restrictions that relate to the various forms of stochastic dominance. For such tests, in the case of tests for stochastic dominance beyond first order, we propose and justify a variety of approaches to inference based on simulation and the bootstrap. We compare these approaches to one another and to alternative approaches based on multiple comparisons in the context of a Monte Carlo experiment and an empirical example." }, { "paper": "2105852640", "venue": "85738991", "year": "2003", "title": "on deriving a locally corrected nystrom scheme from a quadrature sampled moment method", "label": [ "48265008", "134306372", "127349201" ], "author": [ "1984632527" ], "reference": [ "192303019", "315413564", "1489096603", "1871627997", "1983228047", "1991461086", "2004791619", "2019684877", "2059398892", "2076362839", "2077683946", "2078197553", "2085850802", "2086698705", "2088318806", "2100068268", "2111148770", "2115861551", "2127570421", "2131797873", "2132552578", "2138448145", "2148707122", "2157005274", "3119264854" ], "abstract": "a novel high order method of moment procedure with quadrature point based discretization is presented the scheme is equivalent to a moment method employing smooth basis and testing functions applying a fixed point numerical quadrature approximation for the outer integral mapping the current to the quadrature points then leads to a formulation that is equivalent to that derived via the locally corrected nystrom method the convergence properties of the current density and rcs for smooth and singular geometries in two and three dimensions are also studied", "title_raw": "On deriving a locally corrected Nystrom scheme from a quadrature sampled moment method", "abstract_raw": "A novel high-order method of moment procedure with quadrature point-based discretization is presented. The scheme is equivalent to a moment method employing smooth basis and testing functions applying a fixed-point numerical quadrature approximation for the outer integral. Mapping the current to the quadrature points then leads to a formulation that is equivalent to that derived via the locally corrected Nystrom method. The convergence properties of the current density and RCS for smooth and singular geometries in two and three dimensions are also studied." }, { "paper": "2087534361", "venue": "24688465", "year": "2003", "title": "homoclinic orbits in a piecewise system and their relation with invariant sets", "label": [ "164660894", "34388435", "200581526", "61445026", "2781349735", "134306372", "164380108", "178685544", "49209780" ], "author": [ "2576471586", "2996850354", "1998477718" ], "reference": [ "1982132919", "2022435117", "2044268940", "2056324472", "2062427814", "2072544421", "2092680287", "2159381661" ], "abstract": "basic phenomena in chaos can be associated with homoclinic and heteroclinic orbits in this paper we present a general numerical method to demonstrate the existence of these orbits in piecewise linear systems we also show that the tangency of the stable and unstable manifolds at the onset of the chaotic double scroll attractor changes the basin boundaries of two limit sets these changes are evidence of homoclinicity in the dynamical system these basins give complete information about the stable manifolds around the fixed points we show that trajectories that depart from these boundaries for backward integration are bounded sets moreover we also show that the unstable manifolds are geometrically similar to the existing attracting sets in fact when no homo hetero clinic orbits exist the attractors are limit sets of initial conditions on the unstable manifolds", "title_raw": "Homoclinic orbits in a piecewise system and their relation with invariant sets", "abstract_raw": "Basic phenomena in chaos can be associated with homoclinic and heteroclinic orbits. In this paper, we present a general numerical method to demonstrate the existence of these orbits in piecewise-linear systems. We also show that the tangency of the stable and unstable manifolds, at the onset of the chaotic double-scroll attractor, changes the basin boundaries of two \u03b1-limit sets. These changes are evidence of homoclinicity in the dynamical system. These basins give complete information about the stable manifolds around the fixed points. We show that trajectories that depart from these boundaries (for backward integration) are bounded sets. Moreover, we also show that the unstable manifolds are geometrically similar to the existing attracting sets. In fact, when no homo- (hetero-)clinic orbits exist, the attractors are \u03c9-limit sets of initial conditions on the unstable manifolds." }, { "paper": "1986023034", "venue": "103321696", "year": "2003", "title": "minimization of travel time and weighted number of stops in a traffic light network", "label": [ "83677490", "22590252", "154072142", "1465435", "70266271", "170836113", "91886571", "11413529", "178067994" ], "author": [ "2162700644", "2490890583" ], "reference": [ "15274158", "605904997", "1977545325", "1980308649", "1991225280", "1997403587", "2017413817", "2024933657", "2048314949", "2063317962", "2066145367", "2067736810", "2069480138", "2069530841", "2084224084", "2091020754", "2093665022", "2109405343", "2126207702", "2169528473" ], "abstract": "abstract the time constrained shortest path problem is an important generalization of the shortest path problem recently a model called traffic light control model was introduced by chen and yang transport res b 34 2000 241 to simulate the operations of traffic light control in a city the constraints of the model consist of a repeated sequence of time windows and each window allows only certain routes to pass through a node in this paper we introduce a new kind of network called on off time switch network in which an arc is associated with a sequence of windows with status on or off analogous to go or wait we show that both networks have the same mathematical structure in the sense that a path in one network corresponds to a path in the other one since chen and yang have developed algorithms to find the minimum total time path in the previous paper we include one more criterion in this paper weighted number of stops to solve this bi criteria path problem we transform the traffic light network into the on off time switch network which allows us to take advantages of the special structure to design more efficient algorithms by this transformation finding the bi criteria shortest path in the traffic light network can be done in time o wn3 where n is the number of nodes and w is a given maximum number of weighted stops", "title_raw": "Minimization of travel time and weighted number of stops in a traffic-light network", "abstract_raw": "Abstract The time-constrained shortest path problem is an important generalization of the shortest path problem. Recently, a model called traffic-light control model was introduced by Chen and Yang [Transport. Res. B 34 (2000) 241] to simulate the operations of traffic-light control in a city. The constraints of the model consist of a repeated sequence of time windows, and each window allows only certain routes to pass through a node. In this paper, we introduce a new kind of network called on\u2013off time-switch network in which an arc is associated with a sequence of windows with status \u201con\u201d or \u201coff\u201d analogous to \u201cgo\u201d or \u201cwait\u201d. We show that both networks have the same mathematical structure in the sense that a path in one network corresponds to a path in the other one. Since Chen and Yang have developed algorithms to find the minimum total time path in the previous paper, we include one more criterion in this paper: weighted number of stops. To solve this bi-criteria path problem, we transform the traffic-light network into the on\u2013off time-switch network, which allows us to take advantages of the special structure to design more efficient algorithms. By this transformation, finding the bi-criteria shortest path in the traffic-light network can be done in time O(#Wn3), where n is the number of nodes and #W is a given maximum number of weighted stops." }, { "paper": "2112055553", "venue": "157670870", "year": "2003", "title": "deterministic bist for rns adders", "label": [ "71480937", "118615104", "140642157", "47133237", "11413529", "169903167" ], "author": [ "2067317982", "2084136168", "2062432693", "2136299510" ], "reference": [ "1578458555", "1587217691", "1790083507", "1971928471", "1980728475", "2029686497", "2057893146", "2062972006", "2074313510", "2082239458", "2117919933", "2121554601", "2126522734", "2127726993", "2148554131" ], "abstract": "modulo 2 sup n 1 adders as fast as n bit 2 s complement adders have been recently proposed in the open literature this makes a residue number system rns adder with channels based on the moduli 2 sup n 2 sup n 1 and any other of the form 2 sup k 1 with k n faster than rns adders based on other moduli we formally derive a parametric with respect to the adder size test set for parallel testing of the channels of an rns adder based on moduli of the form 2 sup n 2 sup n 1 2 sup k 1 2 sup l 1 with l k n the derived test set is reusable it can be used for any value of n k l regardless of the implementation library used and is composed of n sup 2 2 test vectors a test per clock bist scheme is also proposed that applies the derived test vectors within n sup 2 2n cycles static cmos implementations reveal that the proposed bist offers 100 percent postcompaction fault coverage and an attractive combination of test time and implementation area compared to rom and fsm based deterministic bist or lfsr based pseudorandom bist", "title_raw": "Deterministic BIST for RNS adders", "abstract_raw": "Modulo 2/sup n/ -1 adders as fast as n-bit 2's complement adders have been recently proposed in the open literature. This makes a residue number system (RNS) adder with channels based on the moduli 2/sup n/, 2/sup n/ - 1, and any other of the form 2/sup k/ - 1, with k < n, faster than RNS adders based on other moduli. We formally derive a parametric, with respect to the adder size, test set, for parallel testing of the channels of an RNS adder based on moduli of the form 2/sup n/, 2/sup n/ - 1, 2/sup k/ - 1, 2/sup l/ - 1, ..., with l < k < n. The derived test set is reusable; it can be used for any value of n, k, l, ..., regardless of the implementation library used and is composed of n/sup 2/ + 2 test vectors. A test-per-clock BIST scheme is also proposed that applies the derived test vectors within n/sup 2/ + 2n cycles. Static CMOS implementations reveal that the proposed BIST offers 100 percent postcompaction fault coverage and an attractive combination of test time and implementation area compared to ROM and FSM-based deterministic BIST or LFSR-based pseudorandom BIST." }, { "paper": "2029903225", "venue": "40212770", "year": "2003", "title": "finitary coding for the one dimensional t t 1 process with drift", "label": [ "2778003309", "179518139", "141513077", "121194460", "118615104" ], "author": [ "2574494639", "1597933693" ], "reference": [], "abstract": "we show that there is a finitary isomorphism from a finite state independent and identically distributed i i d process to the t t 1 process associated to one dimensional random walk with positive drift this contrasts with the situation for simple symmetric random walk in any dimension where it cannot be a finitary factor of any i i d process including in d 5 where it becomes weak bernoulli", "title_raw": "Finitary coding for the one dimensional T,T-1 process with drift", "abstract_raw": "We show that there is a finitary isomorphism from a finite state independent and identically distributed (i.i.d.) process to the T, T -1 process associated to one-dimensional random walk with positive drift. This contrasts with the situation for simple symmetric random walk in any dimension, where it cannot be a finitary factor of any i.i.d. process, including in d \u2265 5, where it becomes weak Bernoulli." }, { "paper": "2064168102", "venue": "77200987", "year": "2003", "title": "asymptotic shape of the erlang capacity region of a critically loaded multiservice shared resource", "label": [ "118615104", "100906024", "73606286", "112680207" ], "author": [ "2892531976" ], "reference": [ "18555641", "151088583", "1556192255", "1974951009", "1976107365", "2009688860", "2015052483", "2025553036", "2053491613", "2070397847", "2085644106", "2097372414", "2132729354", "2135096662", "2136361227", "2167467289", "2798236146" ], "abstract": "we consider a loss model of an unbuffered resource having c channels which are shared by several different types of service connections connections of each type arrive in a poisson stream and request a number of channels which depends on the type an arriving connection is blocked and lost if there are not enough free channels otherwise the channels are held for the duration of the connection and the holding period is generally distributed it is assumed that c and the traffic intensities are proportionately large and that the resource is critically loaded the admission control problem is considered for specified upper bounds on the blocking probabilities and the boundary of the admissible set is investigated asymptotically it is shown that the boundary of the admissible set is not convex although only very slightly so this completes the investigation of a critically loaded resource initiated in j a morrison and d mitra siam j appl math to appear which also investigated overloaded", "title_raw": "ASYMPTOTIC SHAPE OF THE ERLANG CAPACITY REGION OF A CRITICALLY LOADED MULTISERVICE SHARED RESOURCE", "abstract_raw": "We consider a loss model of an unbuffered resource having C channels, which are shared by several different types of service connections. Connections of each type arrive in a Poisson stream and request a number of channels, which depends on the type. An arriving connection is blocked and lost if there are not enough free channels. Otherwise, the channels are held for the duration of the connection, and the holding period is generally distributed. It is assumed that C and the traffic intensities are proportionately large, and that the resource is critically loaded. The admission control problem is considered for specified upper bounds on the blocking probabilities, and the boundary of the admissible set is investigated asymptotically. It is shown that the boundary of the admissible set is not convex, although only very slightly so. This completes the investigation of a critically loaded resource, initiated in [J. A. Morrison and D. Mitra, SIAM J. Appl. Math., to appear], which also investigated overloaded ..." }, { "paper": "2137706837", "venue": "165651092", "year": "2003", "title": "sensitivity and optimization for shape and non linear boundary conditions in thermal boundary elements", "label": [ "62354387", "134306372", "36503486", "29513896", "58442840", "42045870", "182310444", "111915175", "63632240" ], "author": [ "2107606869", "2097644662" ], "reference": [ "37431997", "1502656670", "1517115540", "1542136219", "1586015540", "1969074127", "1980626951", "1988262352", "1990215026", "1995410224", "1997643101", "2001072668", "2022538232", "2029268546", "2036655450", "2042605805", "2057409825", "2060452963", "2082180227", "2084717622", "2148801131", "2489863506", "2520542244" ], "abstract": "this paper is concerned with the minimization of functionals of the form b f h t b h d b where variation of the vector b modifies the shape of the domain on which the potential problem 2t 0 is defined the vector h is dependent on non linear boundary conditions that are defined on the boundary the method proposed is founded on the material derivative adjoint variable method traditionally used for shape optimization attention is restricted to problems where the shape of is described by a boundary element mesh where nodal co ordinates are used in the definition of b propositions are presented to show how design sensitivities for the modified functional b f h t b h d b b b h 2t b h d b can be derived more readily with knowledge of the form of the adjoint function determined via non shape variations the methods developed in the paper are applied to a problem in pressure die casting where the objective is the determination of cooling channel shapes for optimum cooling the results of the method are shown to be highly convergent copyright 2002 john wiley sons ltd", "title_raw": "Sensitivity and optimization for shape and non\u2010linear boundary conditions in thermal boundary elements", "abstract_raw": "This paper is concerned with the minimization of functionals of the form \u222b\u0393(b)f(h,T(b, h)) d\u0393(b) where variation of the vector b modifies the shape of the domain \u03a9 on which the potential problem, \u22072T=0, is defined. The vector h is dependent on non-linear boundary conditions that are defined on the boundary \u0393. The method proposed is founded on the material derivative adjoint variable method traditionally used for shape optimization. Attention is restricted to problems where the shape of \u0393 is described by a boundary element mesh, where nodal co-ordinates are used in the definition of b.\r\n\r\n\r\n\r\nPropositions are presented to show how design sensitivities for the modified functional \u222b\u0393(b)f(h,T (b, h)) d\u0393(b) +\u222b\u03a9(b) \u03bb(b, h) \u22072T(b, h) d\u03a9(b) can be derived more readily with knowledge of the form of the adjoint function \u03bb determined via non-shape variations. The methods developed in the paper are applied to a problem in pressure die casting, where the objective is the determination of cooling channel shapes for optimum cooling. The results of the method are shown to be highly convergent. Copyright \u00a9 2002 John Wiley & Sons, Ltd." }, { "paper": "1603646257", "venue": "201849197", "year": "2003", "title": "on an alternative to gerschgorin circles and ovals of cassini", "label": [ "202444582", "48753275", "158693339", "163834973", "33577790", "137127113" ], "author": [ "2489456689" ], "reference": [ "1568175246", "1971414669", "1985569706", "2000219678", "2014748986", "2052244123", "2061951988", "2064763171", "2069701874", "2137880375", "2315512763", "2735263172" ], "abstract": "an alternative to gerschgorin circles for the localization of the real eigenvalues of a real matrix was studied in 8 in this paper we present a similar alternative to the brauer s theorem on ovals of cassini", "title_raw": "On an alternative to Gerschgorin circles and ovals of Cassini", "abstract_raw": "An alternative to Gerschgorin circles for the localization of the real eigenvalues of a real matrix was studied in [8]. In this paper we present a similar alternative to the Brauer's theorem on ovals of Cassini." }, { "paper": "2094862963", "venue": "90727058", "year": "2003", "title": "tau laws for pi calculus", "label": [ "2779729104", "2780069185", "167729594", "135315306", "125773388", "156103551", "9973445", "125565743" ], "author": [ "2164051721", "2122637574" ], "reference": [ "104000688", "1486166401", "1487583155", "1491591043", "1499249011", "1500320562", "1503973138", "1506255920", "1526102560", "1547562281", "1568003051", "1579196261", "1586966546", "1590621554", "1591694044", "1598641821", "1705036269", "1790031272", "1805374951", "1828556947", "1895954544", "1978469611", "1980971812", "1988856107", "1997454380", "1998827035", "2001299902", "2013672985", "2022258624", "2027689693", "2033132551", "2061857651", "2072048176", "2072848882", "2085273936", "2094935854", "2128932399", "2144627353", "2152309268", "2157144873", "2161127621", "2169869634", "2392591355", "2912003593", "2913663755", "2914597273", "3192904815" ], "abstract": "the paper investigates the nonsymbolic algebraic semantics of the weak bisimulation congruences on finite pi processes the weak bisimulation congruences are studied both in the absence and in the presence of the mismatch operator some interesting phenomena about the open congruences are revealed several new tau laws are discovered and their relationship is discussed the contributions of the paper are mainly as follows 1 it is proved that milner s three tau laws fail to lift a complete system for the strong open congruence to a complete system for the weak open congruence in the absence of both the mismatch operator and the restriction operator a fourth tau law is proposed to deal with the match operator under the prefix operation it is shown that for this calculus a complete system for the strong open congruence extended with all the four tau laws is complete for the weak open congruence 2 it is verified that the four tau laws are also enough for the weak open congruence of the pi calculus without the mismatch operator a complete system using distinctions is given 3 it is pointed out that the standard definition of the weak open congruence gives rise to a bad equivalence relation in the presence of the mismatch operator two alternatives are proposed these are the late open congruence and the early open congruence their difference is similar to that between the weak late congruence and the weak early congruence complete axiomatic systems for the two weak open congruences are given", "title_raw": "Tau laws for pi calculus", "abstract_raw": "The paper investigates the nonsymbolic algebraic semantics of the weak bisimulation congruences on finite pi processes. The weak bisimulation congruences are studied both in the absence and in the presence of the mismatch operator. Some interesting phenomena about the open congruences are revealed. Several new tau laws are discovered and their relationship is discussed. The contributions of the paper are mainly as follows: 1. It is proved that Milner's three tau laws fail to lift a complete system for the strong open congruence to a complete system for the weak open congruence in the absence of both the mismatch operator and the restriction operator. A fourth tau law is proposed to deal with the match operator under the prefix operation. It is shown that for this calculus a complete system for the strong open congruence extended with all the four tau laws is complete for the weak open congruence. 2. It is verified that the four tau laws are also enough for the weak open congruence of the pi calculus without the mismatch operator. A complete system using distinctions is given. 3. It is pointed out that the standard definition of the weak open congruence gives rise to a bad equivalence relation in the presence of the mismatch operator. Two alternatives are proposed. These are the late open congruence and the early open congruence. Their difference is similar to that between the weak late congruence and the weak early congruence. Complete axiomatic systems for the two weak open congruences are given." }, { "paper": "1498677384", "venue": "60030702", "year": "2003", "title": "maximal complexifications of certain homogeneous riemannian manifolds", "label": [ "2778225244", "134306372", "2779593128", "2779121838", "2775853953", "7982256", "202444582", "181104567", "127519595", "96469262" ], "author": [ "2684164657", "2060158972" ], "reference": [ "16232588", "61117286", "249105069", "1574180159", "1976494200", "1987490190", "2006634296", "2024735446", "2031378408", "2031668954", "2079298564", "2089753560", "2096497496", "2099260548", "2102922757", "2129536771", "2915035949" ], "abstract": "let m g k be a homogeneous riemannian manifold with dim c g c dim r g where g c denotes the universal complexification of g under certain extensibility assumptions on the geodesic flow of m we give a characterization of the maximal domain of definition in tm for the adapted complex structure and show that it is unique for instance this can be done for generalized heisenberg groups and naturally reductive homogeneous riemannian spaces as an application it is shown that the case of generalized heisenberg groups yields examples of maximal domains of definition for the adapted complex structure which are neither holomorphically separable nor holomorphically convex", "title_raw": "Maximal complexifications of certain homogeneous Riemannian manifolds", "abstract_raw": "Let M = G/K be a homogeneous Riemannian manifold with dim C G C = dim R G, where G C denotes the universal complexification of G. Under certain extensibility assumptions on the geodesic flow of M, we give a characterization of the maximal domain of definition in TM for the adapted complex structure and show that it is unique. For instance, this can be done for generalized Heisenberg groups and naturally reductive homogeneous Riemannian spaces. As an application it is shown that the case of generalized Heisenberg groups yields examples of maximal domains of definition for the adapted complex structure which are neither holomorphically separable nor holomorphically convex." }, { "paper": "1974097586", "venue": "414566", "year": "2003", "title": "why can lda be performed in pca transformed space", "label": [ "118299288", "31510193", "69738355", "28719098", "205068" ], "author": [ "2603303308", "2107803903" ], "reference": [ "1985809919", "2022641583", "2088900896", "2096813265", "2121647436" ], "abstract": "abstract pca plus lda is a popular framework for linear discriminant analysis lda in high dimensional and singular case in this paper we focus on building a theoretical foundation for this framework moreover we point out the weakness of the previous lda based methods and suggest a complete pca plus lda algorithm experimental results on orl face image database indicate that the proposed method is more effective than the previous ones", "title_raw": "Why can LDA be performed in PCA transformed space", "abstract_raw": "Abstract PCA plus LDA is a popular framework for linear discriminant analysis (LDA) in high dimensional and singular case. In this paper, we focus on building a theoretical foundation for this framework. Moreover, we point out the weakness of the previous LDA based methods, and suggest a complete PCA plus LDA algorithm. Experimental results on ORL face image database indicate that the proposed method is more effective than the previous ones." }, { "paper": "2140589708", "venue": "35412551", "year": "2003", "title": "nonlinear stability of solitons against strong external perturbations", "label": [ "207821765", "87651913" ], "author": [ "2080226301", "2421389185", "666169081" ], "reference": [], "abstract": "we study soliton stability under the action of strong external perturbations limits on the weak perturbation approach are established with the help of average lagrangian methods and full simulations we found that for the same relative perturbation larger amplitude solitons develop instability earlier than weaker amplitude solitons", "title_raw": "Nonlinear stability of solitons against strong external perturbations", "abstract_raw": "We study soliton stability under the action of strong external perturbations. Limits on the weak perturbation approach are established with the help of average Lagrangian methods and full simulations. We found that for the same relative perturbation, larger amplitude solitons develop instability earlier than weaker amplitude solitons." }, { "paper": "2035840777", "venue": "184147796", "year": "2003", "title": "complete reducibility of integrable modules for the affine lie super algebras", "label": [ "186489112", "125565743", "29945619", "203946495", "5475112", "518143113", "73648015", "99634282", "144091092" ], "author": [ "2742504905" ], "reference": [ "9385623", "1565930783", "1642629289", "1802623620", "2006642242", "2093269415", "2953159529", "3102244804" ], "abstract": "abstract we prove complete reducibility for an integrable module for an affine lie algebra where the canonical central element acts non trivially we further prove that integrable modules does not exists for most of the superaffine lie algebras where the center acts non trivially", "title_raw": "Complete reducibility of integrable modules for the affine Lie (super)algebras", "abstract_raw": "Abstract We prove complete reducibility for an integrable module for an affine Lie algebra where the canonical central element acts non-trivially. We further prove that integrable modules does not exists for most of the superaffine Lie algebras where the center acts non-trivially." }, { "paper": "2163294576", "venue": "153560523", "year": "2003", "title": "semi online maintenance of geometric optima and measures", "label": [ "73225184", "178042281", "194198291", "114614502", "141898687", "2781302577", "117160843", "29123130", "206194317" ], "author": [ "2102919211" ], "reference": [], "abstract": "we give the first nontrivial worst case results for dynamic versions of various basic geometric optimization and measure problems under the semi online model where during the insertion of an object we are told when the object is to be deleted problems that we can solve with sublinear update time include the hausdorff distance of two point sets discrete 1 center largest empty circle convex hull volume in three dimensions volume of the union of axis parallel cubes and minimum enclosing rectangle the decision versions of the hausdorff distance and discrete 1 center problems can be solved fully dynamically some applications are mentioned", "title_raw": "Semi-Online Maintenance of Geometric Optima and Measures", "abstract_raw": "We give the first nontrivial worst-case results for dynamic versions of various basic geometric optimization and measure problems under the semi-online model, where during the insertion of an object we are told when the object is to be deleted. Problems that we can solve with sublinear update time include the Hausdorff distance of two point sets, discrete 1-center, largest empty circle, convex hull volume in three dimensions, volume of the union of axis-parallel cubes, and minimum enclosing rectangle. The decision versions of the Hausdorff distance and discrete 1-center problems can be solved fully dynamically. Some applications are mentioned." }, { "paper": "1969136621", "venue": "70695507", "year": "2003", "title": "convergence to steady states in asymptotically autonomous semilinear evolution equations", "label": [ "134306372", "24822716", "59696629", "43929395", "78045399", "2779083812", "34388435", "158622935" ], "author": [ "111381433", "2924209796" ], "reference": [ "615276906", "943264053", "1493195308", "1496662771", "1540580484", "1584250831", "1594284013", "1597469717", "1598326876", "1918998582", "1966067080", "1974129415", "1981520789", "2036503923", "2043718735", "2049591358", "2058145942", "2065815186", "2074334982", "2075034671", "2076292739", "2082458348", "2084966183", "2329975073", "2416045056", "2754184743", "2798451160", "3021722416" ], "abstract": "abstract we study the convergence to equilibrium of bounded solutions of the nonautonomous first order problem u m u g t t r and of the second order problem u u m u g t t r applications to diffusion wave cahn hilliard and kirchhoff carrier equations are described", "title_raw": "Convergence to steady states in asymptotically autonomous semilinear evolution equations", "abstract_raw": "Abstract We study the convergence to equilibrium of bounded solutions of the nonautonomous first-order problem u + M u=g(t), t\u2208 R + and of the second-order problem u + u + M u=g(t), t\u2208 R + . Applications to diffusion, wave, Cahn\u2013Hilliard and Kirchhoff\u2013Carrier equations are described." }, { "paper": "2123987657", "venue": "79244937", "year": "2003", "title": "the dynamics of proving uncolourability of large random graphs i symmetric colouring heuristic", "label": [ "114614502", "47458327", "58442840", "4255713", "74133993", "205826798", "160446614", "100107663", "118615104" ], "author": [ "2780861960", "730899234" ], "reference": [ "86906884", "1485666843", "1496713656", "1515766261", "1619771112", "1854875838", "1988522098", "2018052030", "2023200270", "2032876227", "2044636417", "2055911890", "2057361103", "2062897452", "2066356146", "2068871408", "2083883919", "2092520161", "2142281466", "2167036627", "2324827308", "2752853835", "2963332217", "3104044042" ], "abstract": "we study the dynamics of a backtracking procedure capable of proving uncolourability of graphs and calculate its average running time t for sparse random graphs as a function of the average degree c and the number of vertices n t he analysis is carried out by mapping the history of the search process onto an out of equilibrium multi dimensional surface growth problem the growth exponent of the average running time c ln t n is quantitatively predicted in agreement with simulations", "title_raw": "The dynamics of proving uncolourability of large random graphs: I. Symmetric colouring heuristic", "abstract_raw": "We study the dynamics of a backtracking procedure capable of proving uncolourability of graphs, and calculate its average running time T for sparse random graphs, as a function of the average degree c and the number of vertices N .T he analysis is carried out by mapping the history of the search process onto an out-of-equilibrium (multi-dimensional) surface growth problem. The growth exponent of the average running time, \u03c9(c) = (ln T) /N, is quantitatively predicted, in agreement with simulations." }, { "paper": "1607972637", "venue": "185067381", "year": "2003", "title": "higher order spectral densities of fractional random fields", "label": [ "130402806", "202787564", "193386753", "134306372", "98724732", "154249771" ], "author": [ "2118223262", "1998831665", "2471289508" ], "reference": [ "29525048", "647490872", "1496528431", "1509168122", "1531532214", "1538252239", "1553946680", "1580361151", "1629040618", "1964702866", "1967079735", "1973950856", "1979990275", "1983732017", "2009590269", "2018965660", "2023110771", "2023575643", "2031638306", "2031817855", "2036009250", "2036639746", "2052356609", "2068772842", "2069521089", "2071307652", "2079294501", "2081531908", "2082586613", "2100676242", "2111271983", "2124024908", "2158112438", "2408011753", "2483375472", "2485102757", "2787959293" ], "abstract": "this paper presents the second and higher order spectral densities of stationary in space random fields arising as approximations of rescaled solutions of the heat and fractional heat equations with singular initial conditions the development is based on the diagram formalism and the riesz composition formula our results are the first step to full parametrization of higher order spectra of some classes of fractional random fields", "title_raw": "Higher-order spectral densities of fractional random fields", "abstract_raw": "This paper presents the second- and higher-order spectral densities of stationary (in space) random fields arising as approximations of rescaled solutions of the heat and fractional heat equations with singular initial conditions. The development is based on the diagram formalism and the Riesz composition formula. Our results are the first step to full parametrization of higher-order spectra of some classes of fractional random fields." }, { "paper": "1551072870", "venue": "104894821", "year": "2003", "title": "homotopy invariance of coherent witt groups", "label": [ "173110770", "5961521", "202444582", "2776056870", "150050237", "2776793555", "22602557", "155260179", "125565743", "46333567" ], "author": [ "2054971400" ], "reference": [ "169238822", "1519801683", "1537323011", "2026487674", "2082484742" ], "abstract": "we prove the following general homotopy invariance theorem for coherent witt groups let be a flat morphism of separated gorenstein schemes of finite krull dimension with affine fibers i e 1 y is an affine space over the residue field k y for all y y then the induced homomorphism of coherent witt groups is an isomorphism as an application we calculate the classical witt group of the affine hyperbolic sphere over a regular local ring", "title_raw": "Homotopy invariance of coherent Witt groups", "abstract_raw": "We prove the following general homotopy invariance theorem for coherent Witt groups: Let \\(\\) be a flat morphism of separated Gorenstein schemes of finite Krull dimension with affine fibers,i.e. \u03c0\u22121(y) is an affine space over the residue field k(y) for all y\ue3a2Y, then the induced homomorphism of coherent Witt groups \\(\\) is an isomorphism. As an application we calculate the (classical) Witt group of the affine hyperbolic sphere over a regular local ring." }, { "paper": "2117002064", "venue": "165651092", "year": "2003", "title": "a non iterative finite element method for inverse heat conduction problems", "label": [ "135628077", "59372978", "134306372", "6802819", "58501165" ], "author": [ "2225392272", "1963425767", "1653882257" ], "reference": [ "565658584", "1574584754", "2002729176", "2037077804", "2116739802", "2119366700" ], "abstract": "summary a non iterative nite element based inverse method for estimating surface heatux histories on ther mally conducting bodies is developed the technique which accommodates both linear and non linear problems and which sequentially minimizes the least squares error norm between corresponding sets of measured and computed temperatures takes advantage of the linearity between computed temperatures and the instantaneous surface heatux distribution explicit minimization of the instantaneous error norm thus leads to a linear system i e a matrix normal equation in the current set of nodal surface uxes the technique isrst validated against a simple analytical quenching model simulated low noise measurements generated using the analytical model lead to heat transfer coecient estimates that are within 1 of actual values simulated high noise measurements lead to h estimates that oscillate about the low noise solution extensions of the present method designed to smooth oscillatory solutions and based on future time steps or regularization are briey described the method s ability to resolve highly transient early time heat transfer is also examined it is found that time resolution decreases linearly with distance to the nearest subsurface measurement site once validated the technique is used to in vestigate surface heat transfer during experimental quenching of cylinders comparison with an earlier inverse analysis of a similar experiment shows that the present method provides solutions that are fully consistent with the earlier results although the technique is illustrated using a simple one dimensional example the method can be readily extended to multidimensional problems copyright 2003 john wiley sons ltd", "title_raw": "A non\u2010iterative finite element method for inverse heat conduction problems", "abstract_raw": "SUMMARY A non-iterative, \ufffdnite element-based inverse method for estimating surface heatux histories on ther- mally conducting bodies is developed. The technique, which accommodates both linear and non-linear problems, and which sequentially minimizes the least squares error norm between corresponding sets of measured and computed temperatures, takes advantage of the linearity between computed temperatures and the instantaneous surface heatux distribution. Explicit minimization of the instantaneous error norm thus leads to a linear system, i.e. a matrix normal equation, in the current set of nodal surface \ufffduxes. The technique isrst validated against a simple analytical quenching model. Simulated low-noise measurements, generated using the analytical model, lead to heat transfer coecient estimates that are within 1% of actual values. Simulated high-noise measurements lead to h estimates that oscillate about the low-noise solution. Extensions of the present method, designed to smooth oscillatory solutions, and based on future time steps or regularization, are briey described. The method's ability to resolve highly transient, early-time heat transfer is also examined; it is found that time resolution decreases linearly with distance to the nearest subsurface measurement site. Once validated, the technique is used to in- vestigate surface heat transfer during experimental quenching of cylinders. Comparison with an earlier inverse analysis of a similar experiment shows that the present method provides solutions that are fully consistent with the earlier results. Although the technique is illustrated using a simple one-dimensional example, the method can be readily extended to multidimensional problems. Copyright ? 2003 John Wiley & Sons, Ltd." }, { "paper": "2137475538", "venue": "70695507", "year": "2003", "title": "some remarks on the distributional jacobian", "label": [ "200331156", "27851653", "202444582", "67923128", "97174813", "68572554", "33577790", "110121322" ], "author": [ "1612579605" ], "reference": [ "588998226", "1480714962", "1522020530", "1985871685", "1992958970", "2004217808", "2018294758", "2026831429", "2032609013", "2120602115", "2137674306" ], "abstract": "in this paper we prove a strong coarea type formula and a chain rule for distributional jacobians of some classes of maps in particular we give a partial answer to a question arisen by jerrard and soner in jerrard and soner indiana univ math j 51 2002 645", "title_raw": "Some remarks on the distributional Jacobian", "abstract_raw": "In this paper we prove a strong coarea-type formula and a chain rule for distributional Jacobians of some classes of maps. In particular we give a partial answer to a question arisen by Jerrard and Soner in Jerrard and Soner (Indiana Univ. Math. J. 51 (2002) 645)." }, { "paper": "1992639690", "venue": "90727058", "year": "2003", "title": "a format for semantic equivalence comparison", "label": [ "118615104", "2780069185", "135315306", "125565743", "2779167558" ], "author": [ "710777341" ], "reference": [ "1480112536", "1493192018", "1503794828", "1503973138", "1509985362", "1547752895", "1556091851", "1576027797", "1582665553", "1597837141", "1599396963", "1602360707", "1946227193", "1966112122", "1968839148", "1969947545", "1991027534", "1997305605", "1999706742", "2013672985", "2019447115", "2022242460", "2030888138", "2038789187", "2041561080", "2058494671", "2070157304", "2092367588", "2095504289", "2105135809", "2106100969", "2117297757", "2118229393", "2125382028", "2128932399", "2132750992", "2146485104", "2158543119", "2171004374", "2258885520", "2290402840", "2914851216", "3020829080" ], "abstract": "this paper presents a new format for process algebras the extended tyft tyxt format which generalises the tyft tyxt format of groote and vaandrager the format differs from most previous formats in that the labels on transitions are treated as many sorted terms bisimulation is a congruence for all operators defined by extended transition system specifications in this format when one extended transition system specification is summed with another the resulting bisimulation can either identify more terms an abstracting extension up to bisimulation or fewer terms a refining extension up to bisimulation than the original bisimulation on the individual system the notions of abstracting extension and refining extension are defined and two theorems are presented giving conditions required for achieving each type of extension these results provide a way to compare different semantic equivalences defined for different process algebras finally an application of this theory to semantic equivalence comparison is given for a new result relating castellani s pomset equivalence and krishan s multiprocessor equivalence", "title_raw": "A format for semantic equivalence comparison", "abstract_raw": "This paper presents a new format for process algebras, the extended tyft/tyxt format which generalises the tyft/tyxt format of Groote and Vaandrager. The format differs from most previous formats in that the labels on transitions are treated as many-sorted terms. Bisimulation is a congruence for all operators defined by extended transition system specifications in this format.When one extended transition system specification is summed with another, the resulting bisimulation can either identify more terms (an abstracting extension up to bisimulation) or fewer terms (a refining extension up to bisimulation) than the original bisimulation on the individual system. The notions of abstracting extension and refining extension are defined, and two theorems are presented giving conditions required for achieving each type of extension. These results provide a way to compare different semantic equivalences defined for different process algebras.Finally, an application of this theory to semantic equivalence comparison is given for a new result relating Castellani's pomset equivalence and Krishan's multiprocessor equivalence." }, { "paper": "2088999810", "venue": "88061139", "year": "2003", "title": "fault detection observers for continuous non linear polynomial systems of general degree", "label": [ "90119067", "155512373", "9376300", "74193616", "65244806", "158622935" ], "author": [ "2161674315", "2158050467" ], "reference": [ "23992113", "391578156", "574981308", "1525941546", "1531528402", "1964373008", "1965099020", "1977015891", "2013384158", "2027548614", "2031615853", "2046834676", "2050647933", "2064899788", "2079611119", "2081989379", "2093352963", "2116119826", "2123555578", "2125490790", "2126708831", "2145591384", "2150005359", "2495186827", "2610857016", "2798909945" ], "abstract": "this paper proposes a robust fault detection observer rfdo for a continuous non linear system with polynomial non linearities up to any finite degree the observer error and residual are robust with respect to unknown inputs sufficient conditions are given in an efficient algebraic compact form for a rfdo observer and residual to exist useable results on detectablility conditions are proved numerical prodedures for the design of a rfdo and a sub optimal rfdo sorfdo are given the theory is illustrated with an application to a benchmark three tank system one linear and three non linear models are considered with corresponding rdfos including a sub optimal rfdo and the performances of the corresponding residuals are compared under two initial conditions for a scenario consisting of a leak fault and a disturbance", "title_raw": "Fault detection observers for continuous non-linear polynomial systems of general degree", "abstract_raw": "This paper proposes a robust fault detection observer (RFDO) for a continuous non-linear system with polynomial non-linearities up to any finite degree. The observer error and residual are robust with respect to unknown inputs. Sufficient conditions are given, in an efficient algebraic compact form, for a RFDO (observer and residual) to exist. Useable results on detectablility conditions are proved. Numerical prodedures for the design of a RFDO and a sub-optimal RFDO (SORFDO) are given. The theory is illustrated with an application to a (benchmark) three-tank system. One linear and three non-linear models are considered with corresponding RDFOs (including a sub-optimal RFDO), and the performances of the corresponding residuals are compared under two initial conditions for a scenario consisting of a leak (fault) and a disturbance." }, { "paper": "2011769293", "venue": "125754415", "year": "2003", "title": "controlling system dimension a class of real systems that obey the kaplan yorke conjecture", "label": [ "138552256", "110601934", "6802819", "191544260", "26546657", "2778520473", "133905733", "134306372", "158622935" ], "author": [ "2938520238", "2149295079", "2052188117", "2176091733", "2441568079", "2139630244" ], "reference": [ "135863185", "142984347", "1863658077", "1965669753", "1966195644", "1978159878", "1978839645", "1981915022", "1986186574", "1998727969", "2005740351", "2010194123", "2016729265", "2022439130", "2026877539", "2029401646", "2029880081", "2031365860", "2031606500", "2039570025", "2040704490", "2045207061", "2072272084", "2113397886", "2127873098", "2136450897", "2144453995", "2147032457", "2152254020", "2163842104", "2164284840", "2165602985", "3036383388", "3124661333" ], "abstract": "the kaplan yorke conjecture suggests a simple relationship between the fractal dimension of a system and its lyapunov spectrum this relationship has important consequences in the broad field of nonlinear dynamics where dimension and lyapunov exponents are frequently used descriptors of system dynamics we develop an experimental system with controllable dimension by making use of the kaplan yorke conjecture a rectangular steel plate is driven with the output of a chaotic oscillator we controlled the lyapunov exponents of the driving and then computed the fractal dimension of the plate s response the kaplan yorke relationship predicted the system s dimension extremely well this finding strongly suggests that other driven linear systems will behave similarly the ability to control the dimension of a structure s vibrational response is important in the field of vibration based structural health monitoring for the robust extraction of damage sensitive features", "title_raw": "Controlling system dimension: A class of real systems that obey the Kaplan\u2013Yorke conjecture", "abstract_raw": "The Kaplan\u2013Yorke conjecture suggests a simple relationship between the fractal dimension of a system and its Lyapunov spectrum. This relationship has important consequences in the broad field of nonlinear dynamics where dimension and Lyapunov exponents are frequently used descriptors of system dynamics. We develop an experimental system with controllable dimension by making use of the Kaplan\u2013Yorke conjecture. A rectangular steel plate is driven with the output of a chaotic oscillator. We controlled the Lyapunov exponents of the driving and then computed the fractal dimension of the plate's response. The Kaplan\u2013Yorke relationship predicted the system's dimension extremely well. This finding strongly suggests that other driven linear systems will behave similarly. The ability to control the dimension of a structure's vibrational response is important in the field of vibration-based structural health monitoring for the robust extraction of damage-sensitive features." }, { "paper": "1806210373", "venue": "60030702", "year": "2003", "title": "galois groups of quantum group actions and regularity of fixed point algebras", "label": [ "2777487533", "128622974", "116827671", "38847919", "118615104", "48756202", "202444582", "76572486", "120047569", "148647251" ], "author": [ "2120977497" ], "reference": [ "39253320", "1541476201", "1601964873", "1666093761", "1976199876", "1988062317", "1988740668", "1992635693", "2007810492", "2010820326", "2013113198", "2044756323", "2045686128", "2060526419", "2066938737", "2148793540", "2323990519", "2526621377", "2591959394", "2593523790" ], "abstract": "it is shown that for a minimal and integrable action of a locally compact quantum group on a factor the group of automorphisms of the factor leaving the fixed point algebra pointwise invariant is identified with the intrinsic group of the dual quantum group it is proven also that for such an action the regularity of the fixed point algebra is equivalent to the cocommutativity of the quantum group", "title_raw": "Galois groups of quantum group actions and regularity of fixed-point algebras", "abstract_raw": "It is shown that, for a minimal and integrable action of a locally compact quantum group on a factor, the group of automorphisms of the factor leaving the fixed-point algebra pointwise invariant is identified with the intrinsic group of the dual quantum group. It is proven also that, for such an action, the regularity of the fixed-point algebra is equivalent to the cocommutativity of the quantum group." }, { "paper": "2150773511", "venue": "58069681", "year": "2003", "title": "a new algorithm for border description of polarized light surface microscopic images of pigmented skin lesions", "label": [ "55259147", "193536780", "11413529", "118732077" ], "author": [ "1976110271", "1857675349", "2096646689", "432426676" ], "reference": [ "1483681246", "1935639000", "1965191339", "1965431278", "1970949791", "1980621031", "1987206589", "1994274519", "2003834444", "2022034678", "2023861851", "2027073286", "2029004832", "2031560398", "2056152436", "2057168779", "2070692944", "2077307030", "2082180879", "2083437203", "2091798718", "2096457735", "2133059825", "2151287908", "2157825442", "2162515926", "2408791827", "2416635215", "2470359341", "2473147657" ], "abstract": "the aim of the study was to provide mathematical descriptors for the border of pigmented skin lesion images and to assess their efficacy for distinction among different lesion groups new descriptors such as lesion slope and lesion slope regularity are introduced and mathematically defined a new algorithm based on the catmull rom spline method and the computation of the gray level gradient of points extracted by interpolation of normal direction on spline points was employed the efficacy of these new descriptors was tested on a data set of 510 pigmented skin lesions composed by 85 melanomas and 425 nevi by employing statistical methods for discrimination between the two populations", "title_raw": "A new algorithm for border description of polarized light surface microscopic images of pigmented skin lesions", "abstract_raw": "The aim of the study was to provide mathematical descriptors for the border of pigmented skin lesion images and to assess their efficacy for distinction among different lesion groups. New descriptors such as lesion slope and lesion slope regularity are introduced and mathematically defined. A new algorithm based on the Catmull-Rom spline method and the computation of the gray-level gradient of points extracted by interpolation of normal direction on spline points was employed. The efficacy of these new descriptors was tested on a data set of 510 pigmented skin lesions, composed by 85 melanomas and 425 nevi, by employing statistical methods for discrimination between the two populations." }, { "paper": "2086592766", "venue": "103321696", "year": "2003", "title": "center problems with pos neg weights on trees", "label": [ "118311129", "118615104", "103578098", "63553672", "9260844", "114614502", "311688" ], "author": [ "2135172516", "64760683" ], "reference": [ "1496946117", "1984953641", "1991657767", "2008167159", "2009881909", "2020868174", "2032624334", "2051542859", "2073623633", "2084224084", "2102750402", "2107269312", "2107423006", "2132445073", "2139594840", "2141178123", "2149906774", "2166964471", "2606195968" ], "abstract": "abstract in a network with positive and negative vertex weights the pos neg 1 center problem asks to minimize a linear combination of the maximum weighted distances of the center to the vertices with positive weights and to the vertices with negative weights respectively we show that in a network with n vertices and m edges the pos neg 1 center problem can be solved in o mn log n time in trees a better complexity can be achieved in the case of a path or of a star graph this problem can be solved in linear time further this problem is studied for a cactus with vertex weights 1 and 1 moreover an algorithm for the discrete anti p center problem on a tree with the improved time complexity o n log 2 n is given finally the pos neg discrete p center on a tree is treated and solved by an algorithm of time complexity o n 2 log n", "title_raw": "Center problems with pos/neg weights on trees", "abstract_raw": "Abstract In a network with positive and negative vertex weights the pos/neg 1-center problem asks to minimize a linear combination of the maximum weighted distances of the center to the vertices with positive weights and to the vertices with negative weights, respectively. We show that in a network with n vertices and m edges the pos/neg 1-center problem can be solved in O( mn log n ) time. In trees a better complexity can be achieved. In the case of a path or of a star graph this problem can be solved in linear time. Further this problem is studied for a cactus with vertex weights 1 and \u22121. Moreover, an algorithm for the discrete anti- p -center problem on a tree with the improved time complexity O( n log 2 n ) is given. Finally, the pos/neg discrete p -center on a tree is treated and solved by an algorithm of time complexity O( n 2 log n )." }, { "paper": "2069949233", "venue": "159544283", "year": "2003", "title": "similarity preserving linear maps on b h", "label": [ "49766605", "89604369", "118615104", "34388435", "139352143" ], "author": [ "2678738119" ], "reference": [ "1562178577", "1698791877", "2008727021", "2041325032", "2052100431", "2062860514", "2074248980", "2105381561", "2355907828", "2380760816" ], "abstract": "we determine kernels of similarity preserving bounded linear maps on b h and give characterizations for elementary operators of length 1 to be similarity preserving", "title_raw": "Similarity-preserving linear maps on B(H)", "abstract_raw": "We determine kernels of similarity-preserving bounded linear maps on B(H) and give characterizations for elementary operators of length 1 to be similarity-preserving." }, { "paper": "2076351542", "venue": "79244937", "year": "2003", "title": "numerical study of nonlinear equations with an infinite number of derivatives", "label": [ "137119250", "134306372", "158622935", "97826883", "2126413", "30388316", "200602138", "170036204", "38409319" ], "author": [ "2987619669" ], "reference": [ "149541213", "1484644522", "1570192398", "1649645444", "1964547943", "2001601491", "2022030655", "2022337355", "2022621285", "2029401037", "2070454051", "2086212867", "2098066898", "2493480674", "3040370491", "3105194701" ], "abstract": "we study equations with infinitely many derivatives equations of this type form a new class of equations in mathematical physics these equations originally appeared in p adic and later in fermionic string theories and their investigation is of much interest in mathematical physics and applications in particular in cosmology differential equations with an infinite number of derivatives can be written as nonlinear integral equations we perform a numerical investigation of the solutions of these equations it is established that these equations have two different regimes of solutions interpolating and periodic the critical value of the parameter q separating these regimes is found to be q 2 cr 1 37 the convergence of the iterative procedure for these equations is proven", "title_raw": "Numerical study of nonlinear equations with an infinite number of derivatives", "abstract_raw": "We study equations with infinitely many derivatives. Equations of this type form a new class of equations in mathematical physics. These equations originally appeared in p-adic and later in fermionic string theories and their investigation is of much interest in mathematical physics and applications, in particular in cosmology. Differential equations with an infinite number of derivatives can be written as nonlinear integral equations. We perform a numerical investigation of the solutions of these equations. It is established that these equations have two different regimes of solutions: interpolating and periodic. The critical value of the parameter q separating these regimes is found to be q 2 cr \u2248 1.37. The convergence of the iterative procedure for these equations is proven." }, { "paper": "3099293304", "venue": "158241587", "year": "2003", "title": "erratum pseudo hermiticity for a class of nondiagonalizable hamiltonians j math phys 43 6343 2002", "label": [ "37914503", "142805521" ], "author": [ "97733193" ], "reference": [ "1972082874", "2069672988", "3100704502" ], "abstract": "", "title_raw": "Erratum: Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians [J. Math. Phys. 43, 6343 (2002)]", "abstract_raw": "" }, { "paper": "1542062992", "venue": "60030702", "year": "2003", "title": "the two by two spectral nevanlinna pick problem", "label": [ "134306372", "4263655", "17378031", "140532419", "58442840", "205979905", "34388435", "162392398", "2780704165" ], "author": [ "286343938", "2421441029" ], "reference": [ "28328100", "86492130", "1502516483", "1504633463", "1590577697", "1602120208", "1979416676", "2024662716", "2076293930", "2103313140", "2109090100", "2121313327", "2172309153", "2295062674", "2592177463", "2943271962" ], "abstract": "we give a criterion for the existence of an analytic 2 x 2 matrix valued function on the disc satisfying a finite set of interpolation conditions and having spectral radius bounded by 1 we also give a realization theorem for analytic functions from the disc to the symmetrised bidisc", "title_raw": "The two-by-two spectral Nevanlinna-Pick problem", "abstract_raw": "We give a criterion for the existence of an analytic 2 x 2 matrix-valued function on the disc satisfying a finite set of interpolation conditions and having spectral radius bounded by 1. We also give a realization theorem for analytic functions from the disc to the symmetrised bidisc." }, { "paper": "1492114961", "venue": "196139623", "year": "2003", "title": "stepwise entropy analysis", "label": [ "70567897" ], "author": [ "2725225759" ], "reference": [], "abstract": "", "title_raw": "Stepwise Entropy Analysis", "abstract_raw": "" }, { "paper": "2104450990", "venue": "184954342", "year": "2003", "title": "new results on doubly coprime fractional representations of generalized dynamical systems", "label": [ "28826006", "79379906", "23230895", "42355184", "112972136", "2778029271", "65244806" ], "author": [ "2713189731", "2496256945" ], "reference": [ "1602049633", "1967557842", "2011226835", "2137227271", "2993369091" ], "abstract": "this note first points out that the main results by wang and balas regarding the doubly coprime fractional representations for generalized dynamical systems have severe limitation in their applications that is the doubly coprime factorization obtained by wang and balas cannot characterize the parameterization of all properly stabilizing controllers when a system is singular therefore truly generalized to remedy those results two new doubly coprime factorizations have been developed that will parameterize all properly stabilizing controllers for single input or single output cases in addition the new results can characterize the parameterization of all corresponding causal properly stabilizing controllers finally the extension to the multiple input multiple output case is presented", "title_raw": "New results on doubly coprime fractional representations of generalized dynamical systems", "abstract_raw": "This note first points out that the main results by Wang and Balas regarding the doubly coprime fractional representations for generalized dynamical systems have severe limitation in their applications, that is, the doubly coprime factorization obtained by Wang and Balas cannot characterize the parameterization of all properly stabilizing controllers when a system is singular, therefore, truly generalized. To remedy those results, two new doubly coprime factorizations have been developed that will parameterize all properly stabilizing controllers for single-input or single-output cases. In addition, the new results can characterize the parameterization of all corresponding causal properly stabilizing controllers. Finally, the extension to the multiple-input-multiple-output case is presented." }, { "paper": "2107961375", "venue": "118988714", "year": "2003", "title": "a robust minimax approach to classification", "label": [ "149728462", "185142706", "126255220", "1921717", "122280245", "137836250", "111397411" ], "author": [ "60139091", "2221004268", "2169305403", "2435751034" ], "reference": [ "1596717185", "1596877211", "1604585277", "1770825568", "1965751196", "1967073510", "1972284617", "2061293389", "2067885219", "2100366146", "2105235982", "2108067579", "2129541942", "2135346934", "2137512539", "2150796457", "2151239833", "2156736119", "2156909104", "2296319761", "2567465089", "2798766386", "3023786531" ], "abstract": "when constructing a classifier the probability of correct classification of future data points should be maximized we consider a binary classification problem where the mean and covariance matrix of each class are assumed to be known no further assumptions are made with respect to the class conditional distributions misclassification probabilities are then controlled in a worst case setting that is under all possible choices of class conditional densities with given mean and covariance matrix we minimize the worst case maximum probability of misclassification of future data points for a linear decision boundary this desideratum is translated in a very direct way into a convex second order cone optimization problem with complexity similar to a support vector machine problem the minimax problem can be interpreted geometrically as minimizing the maximum of the mahalanobis distances to the two classes we address the issue of robustness with respect to estimation errors in the means and covariances of the classes via a simple modification of the input data we also show how to exploit mercer kernels in this setting to obtain nonlinear decision boundaries yielding a classifier which proves to be competitive with current methods including support vector machines an important feature of this method is that a worst case bound on the probability of misclassification of future data is always obtained explicitly", "title_raw": "A robust minimax approach to classification", "abstract_raw": "When constructing a classifier, the probability of correct classification of future data points should be maximized. We consider a binary classification problem where the mean and covariance matrix of each class are assumed to be known. No further assumptions are made with respect to the class-conditional distributions. Misclassification probabilities are then controlled in a worst-case setting: that is, under all possible choices of class-conditional densities with given mean and covariance matrix, we minimize the worst-case (maximum) probability of misclassification of future data points. For a linear decision boundary, this desideratum is translated in a very direct way into a (convex) second order cone optimization problem, with complexity similar to a support vector machine problem. The minimax problem can be interpreted geometrically as minimizing the maximum of the Mahalanobis distances to the two classes. We address the issue of robustness with respect to estimation errors (in the means and covariances of the classes) via a simple modification of the input data. We also show how to exploit Mercer kernels in this setting to obtain nonlinear decision boundaries, yielding a classifier which proves to be competitive with current methods, including support vector machines. An important feature of this method is that a worst-case bound on the probability of misclassification of future data is always obtained explicitly." }, { "paper": "2016812781", "venue": "50372074", "year": "2003", "title": "order continuous of monotone set function and convergence of measurable functions sequence", "label": [ "134306372", "14158598", "28826006", "43994743", "118733216", "84462752", "3098717" ], "author": [ "2630749013" ], "reference": [ "1481142035", "1506515663", "1978734360", "2013818969", "2027910010" ], "abstract": "in this paper we introduce the concept of strongly order continuity of a set function and use it to investigate the convergence of measurable functions sequence and of integral sequence on fuzzy measure space several equivalent conditions of strongly order continuity are presented it is shown that a necessary and sufficient condition that lebesgue s theorem remains valid for a monotone set function is that the set function possesses strongly order continuity", "title_raw": "Order continuous of monotone set function and convergence of measurable functions sequence", "abstract_raw": "In this paper, we introduce the concept of strongly order continuity of a set function, and use it to investigate the convergence of measurable functions sequence and of integral sequence on fuzzy measure space. Several equivalent conditions of strongly order continuity are presented. It is shown that a necessary and sufficient condition that Lebesgue's theorem remains valid for a monotone set function is that the set function possesses strongly order continuity." }, { "paper": "2038946727", "venue": "119757635", "year": "2003", "title": "sequential methods for design adaptive estimation of discontinuities in regression curves and surfaces", "label": [ "2777042112", "83546350", "55439883", "159620131", "199163554", "198352243", "11413529", "87007009" ], "author": [ "1522911314", "2953104060" ], "reference": [], "abstract": "in fault line estimation in spatial problems it is sometimes possible to choose design points sequentially by working one s way gradually through the response plane rather than distributing design points across the plane prior to conducting statistical analysis for example when estimating a change line in the concentration of resources on or under the sea bed individual measurements can be particularly expensive to make in such cases equential design adaptive methods are attractive appropriate methodology is largely lacking however and the potential advantages of taking a sequential approach are unclear in the present paper we address both these problems we suggest a methodology based on sequential refinement with reassessment that relies upon assessing the correctness of each sequential result and reappraising previous results if significance tests show that there is reason for concern we focus part of our attention on univariate problems and we show how methods for the spatial case can be constructed from univariate ones", "title_raw": "Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces", "abstract_raw": "In fault-line estimation in spatial problems it is sometimes possible to choose design points sequentially, by working one\u2019s way gradually through the \u201cresponse plane,\u201d rather than distributing design points across the plane prior to conducting statistical analysis. For example, when estimating a change line in the concentration of resources on or under the sea bed, individual measurements can be particularly expensive to make. In such cases, equential, design-adaptive methods are attractive. Appropriate methodology is largely lacking, however, and the potential advantages of taking a sequential approach are unclear. In the present paper we address both these problems. We suggest a methodology based on \u201csequential refinement with reassessment\u201d that relies upon assessing the correctness of each sequential result, and reappraising previous results if significance tests show that there is reason for concern. We focus part of our attention on univariate problems, and we show how methods for the spatial case can be constructed from univariate ones." }, { "paper": "1966594094", "venue": "61604500", "year": "2003", "title": "two dimensional model for binary fragmentation process with random system of forces random stopping and material resistance", "label": [ "25915931", "87040749", "134306372", "48372109", "105795698", "190373308" ], "author": [ "2794067548" ], "reference": [ "20630697", "357049426", "1546625087", "2001601486", "2016925199", "2017628301", "2039070960", "2039274623", "2047037983", "2073443556", "2335733398" ], "abstract": "abstract this work presents the numerical results obtained from large scale parallel distributed simulations of a self similar model for two dimensional discrete in time and continuous in space binary fragmentation its main characteristics are 1 continuous material 2 uniform and independent random distribution of the net forces denoted by f x and f y that produce the fracture 3 these net forces act at random positions of the fragments and generate the fracture following a maximum criterion 4 the fragmentation process has the property that every fragment fracture stops at each time step with an uniform probability p 5 the material presents an uniform resistance r to the fracture process through a numerical study was obtained an approximate power law behavior for the small fragments size distribution for a wide range of the main parameters of the model the stopping probability p and the resistance r the visualizations of the model resemble real systems the approximate power law distribution is a non trivial result which reproduces empirical results of some highly energetic fracture processes", "title_raw": "Two-dimensional model for binary fragmentation process with random system of forces, random stopping and material resistance", "abstract_raw": "Abstract This work presents the numerical results obtained from large-scale parallel distributed simulations of a self-similar model for two-dimensional discrete in time and continuous in space binary fragmentation. Its main characteristics are: (1) continuous material; (2) uniform and independent random distribution of the net forces, denoted by f x and f y , that produce the fracture; (3) these net forces act at random positions of the fragments and generate the fracture following a maximum criterion; (4) the fragmentation process has the property that every fragment fracture stops at each time step with an uniform probability p ; (5) the material presents an uniform resistance r to the fracture process. Through a numerical study was obtained an approximate power law behavior for the small fragments size distribution for a wide range of the main parameters of the model: the stopping probability p and the resistance r . The visualizations of the model resemble real systems. The approximate power law distribution is a non-trivial result, which reproduces empirical results of some highly energetic fracture processes." }, { "paper": "2021729250", "venue": "50372074", "year": "2003", "title": "the effect of heat convection on drying of porous semi infinite space with a heat flux condition on the fixed face x 0", "label": [ "520416788", "134306372", "2778021227", "194571181", "78045399" ], "author": [ "2144829902", "2508111835" ], "reference": [ "1123448854", "1966804365", "1995451537", "1999122537", "2012276229", "2038647268", "2042183529", "2066492940", "2085456753", "2133052111", "2561638449" ], "abstract": "an analytic study is presented for rate processes including change of phase for a semi infinite porous substance exposed to a heat flux condition at x 0 of the type q 0 t q 0 0 taking into account an inequality for the temperature at the interface x s t t s an inequality for the coefficient q 0 is obtained in order to have an exact solution an equivalence between this problem and the analogous corresponding to a phase change problem with a temperature condition on the fixed face x 0 is also obtained", "title_raw": "The effect of heat convection on drying of porous semi-infinite space with a heat flux condition on the fixed face x=0", "abstract_raw": "An analytic study is presented for rate processes, including change of phase for a semi-infinite porous substance exposed to a heat flux condition at x=0 of the type -q\"0/t,q\"0>0. Taking into account an inequality for the temperature at the interface x=s(t),T\"s, an inequality for the coefficient q\"0 is obtained in order to have an exact solution. An equivalence between this problem and the analogous corresponding to a phase change problem with a temperature condition on the fixed face x=0 is also obtained." }, { "paper": "2028172847", "venue": "102439543", "year": "2003", "title": "equilibrium schemes for scalar conservation laws with stiff sources", "label": [ "31010330", "30295242", "94025248", "28826006", "73000952", "93779851", "126255220", "3445786", "111615704" ], "author": [ "2685288212", "2974768431", "2141291802" ], "reference": [ "176297351", "205360716", "277149201", "1525065611", "1580248330", "1649515575", "1964672341", "1970604545", "1976937175", "1995517422", "2009546107", "2017042872", "2034976587", "2038873839", "2041664202", "2047160746", "2051014922", "2051740894", "2054989939", "2058221859", "2060976754", "2065852546", "2067207246" ], "abstract": "we consider a simple model case of stiff source terms in hyperbolic conservation laws namely the case of scalar conservation laws with a zeroth order source with low regularity it is well known that a direct treatment of the source term by finite volume schemes gives unsatisfactory results for both the reduced cfl condition and refined meshes required because of the lack of accuracy on equilibrium states the source term should be taken into account in the upwinding and discretized at the nodes of the grid in order to solve numerically the problem we introduce a so called equilibrium schemes with the properties that i the maximum principle holds true ii discrete entropy inequalities are satisfied iii steady state solutions of the problem are maintained one of the difficulties in studying the convergence is that there are no bv estimates for this problem we therefore introduce a kinetic interpretation of upwinding taking into account the source terms based on the kinetic formulation we give a new convergence proof that only uses property ii in order to ensure desired compactness framework for a family of approximate solutions and that relies on minimal assumptions the computational efficiency of our equilibrium schemes is demonstrated by numerical tests that show that in comparison with an usual upwind scheme the corresponding equilibrium version is far more accurate furthermore numerical computations show that equilibrium schemes enable us to treat efficiently the sources with singularities and oscillating coefficients", "title_raw": "Equilibrium schemes for scalar conservation laws with stiff sources", "abstract_raw": "We consider a simple model case of stiff source terms in hyperbolic conservation laws, namely, the case of scalar conservation laws with a zeroth order source with low regularity. It is well known that a direct treatment of the source term by finite volume schemes gives unsatisfactory results for both the reduced CFL condition and refined meshes required because of the lack of accuracy on equilibrium states. The source term should be taken into account in the upwinding and discretized at the nodes of the grid. In order to solve numerically the problem, we introduce a so-called equilibrium schemes with the properties that (i) the maximum principle holds true; (ii) discrete entropy inequalities are satisfied; (iii) steady state solutions of the problem are maintained. One of the difficulties in studying the convergence is that there are no BV estimates for this problem. We therefore introduce a kinetic interpretation of upwinding taking into account the source terms. Based on the kinetic formulation we give a new convergence proof that only uses property (ii) in order to ensure desired compactness framework for a family of approximate solutions and that relies on minimal assumptions. The computational efficiency of our equilibrium schemes is demonstrated by numerical tests that show that, in comparison with an usual upwind scheme, the corresponding equilibrium version is far more accurate. Furthermore, numerical computations show that equilibrium schemes enable us to treat efficiently the sources with singularities and oscillating coefficients." }, { "paper": "2007333870", "venue": "73535193", "year": "2003", "title": "asymptotic behaviour of solutions of systems of discrete equations via liapunov type technique", "label": [ "99261239", "205147927", "89407435", "134306372", "36625806", "94766913", "144618667", "51544822" ], "author": [ "1500982532" ], "reference": [ "1510531757", "1591221472", "1968176707", "1977989659", "1995741962", "2005274036", "2006737540", "2026638944", "2027124786", "2045082164", "2061983062", "2498028294", "3141151088" ], "abstract": "abstract the second liapunov method serves as a powerful tool for the investigation of the stability of the trivial solution of ordinary differential equations systems and discrete equations systems in the presented paper a liapunov type qualitative approach is used for the investigation of asymptotic behaviour of the solutions of systems of discrete equations conditions for the existence of continuum of solutions the graphs of which remain within a given prescribed set are formulated for the general systems of discrete equations u k f k u k an additional advantage of the presented approach consists of the fact that no assumption concerning the existence of the trivial solution or the existence of an equilibrium point of systems considered is assumed moreover the asymptotic behaviour of solutions of some classes of linear difference systems is given by means of concrete asymptotic formulae several illustrative examples are considered too", "title_raw": "Asymptotic behaviour of solutions of systems of discrete equations via Liapunov type technique", "abstract_raw": "Abstract The second Liapunov method serves as a powerful tool for the investigation of the stability of the trivial solution of ordinary differential equations systems and discrete equations systems. In the presented paper, a Liapunov-type qualitative approach is used for the investigation of asymptotic behaviour of the solutions of systems of discrete equations. Conditions for the existence of continuum of solutions, the graphs of which remain within a given prescribed set, are formulated for the general systems of discrete equations \u0394u ( k ) = F ( k , u ( k )). An additional advantage of the presented approach consists of the fact that no assumption concerning the existence of the trivial solution (or the existence of an equilibrium point) of systems considered is assumed. Moreover, the asymptotic behaviour of solutions of some classes of linear difference systems is given by means of concrete asymptotic formulae. Several illustrative examples are considered, too." }, { "paper": "2048777976", "venue": "184147796", "year": "2003", "title": "one point extensions and derived equivalence", "label": [ "2780069185", "202444582" ], "author": [ "2161410575", "2617234239" ], "reference": [ "1595937157", "1838093986", "2043274582", "2047982017", "2062046146", "2066420519", "2074650776", "2079378892" ], "abstract": "abstract work of the first author with de la pena m barot j a de la pena proc amer math soc 127 1999 647 655 concerned with the class of algebras derived equivalent to a tubular algebra raised the question whether a derived equivalence between two algebras can be extended to one point extensions the present paper yields a positive answer", "title_raw": "One-point extensions and derived equivalence", "abstract_raw": "Abstract Work of the first author with de la Pena [M. Barot, J.A. de la Pena, Proc. Amer. Math. Soc. 127 (1999) 647\u2013655], concerned with the class of algebras derived equivalent to a tubular algebra, raised the question whether a derived equivalence between two algebras can be extended to one-point extensions. The present paper yields a positive answer." }, { "paper": "1911894398", "venue": "60030702", "year": "2003", "title": "explicit lower bounds for residues at s 1 of dedekind zeta functions and relative class numbers of cm fields", "label": [ "2778973150", "134306372", "114614502", "35861355", "76449584", "35235930", "12657307", "169654258", "2777585456", "77553402" ], "author": [ "1438986320" ], "reference": [ "4469335", "134647183", "299502923", "811820981", "862429791", "930729595", "999814945", "1011068223", "1511952364", "1515707107", "1558606648", "1666650339", "1964630909", "1976923416", "1977999569", "1981256897", "1985491721", "1992416585", "2003637073", "2004411695", "2015390484", "2016125036", "2018641091", "2020869483", "2032696138", "2033223440", "2035371322", "2055000659", "2059989005", "2066465099", "2093113685", "2100059641", "2100521236", "2117805174", "2122457997", "2170378157", "2314338541", "2323709746", "2325434084", "2329204592", "2495429089", "2615396388", "3007836994" ], "abstract": "let s be a given set of positive rational primes assume that the value of the dedekind zeta function k of a number field k is less than or equal to zero at some real point in the range 1 we give explicit lower bounds on the residue at s 1 of this dedekind zeta function which depend on the absolute value d k of the discriminant of k and the behavior in k of the rational primes p e s now let k be a real abelian number field and let be any real zero of the zeta function of k we give an upper bound on the residue at s 1 of which depends on d and the behavior in k of the rational primes p e s by combining these two results we obtain lower bounds for the relative class numbers of some normal cm fields k which depend on the behavior in k of the rational primes p e s we will then show that these new lower bounds for relative class numbers are of paramount importance for solving for example the exponent two class group problem for the non normal quartic cm fields finally we will prove brauer siegel like results about the asymptotic behavior of relative class numbers of cm fields", "title_raw": "Explicit Lower bounds for residues at $s=1$ of Dedekind zeta functions and relative class numbers of CM-fields", "abstract_raw": "Let S be a given set of positive rational primes. Assume that the value of the Dedekind zeta function \u03b6 K of a number field K is less than or equal to zero at some real point \u03b2 in the range < \u03b2 < 1. We give explicit lower bounds on the residue at s = 1 of this Dedekind zeta function which depend on \u03b2, the absolute value d K of the discriminant of K and the behavior in K of the rational primes p E S. Now, let k be a real abelian number field and let \u03b2 be any real zero of the zeta function of k. We give an upper bound on the residue at s = 1 of \u03b6 \u03ba which depends on \u03b2, d \u03ba and the behavior in k of the rational primes p E S. By combining these two results, we obtain lower bounds for the relative class numbers of some normal CM-fields K which depend on the behavior in K of the rational primes p E S. We will then show that these new lower bounds for relative class numbers are of paramount importance for solving, for example, the exponent-two class group problem for the non-normal quartic CM-fields. Finally, we will prove Brauer-Siegel-like results about the asymptotic behavior of relative class numbers of CM-fields." }, { "paper": "2044257740", "venue": "99182027", "year": "2003", "title": "shape functions of three dimensional timoshenko beam element", "label": [ "134306372", "190699663", "73000952", "135628077", "137127113", "2776196297", "139676723", "177874553" ], "author": [ "2254121352", "2634480024", "2137423841" ], "reference": [ "1501357369", "2140892831" ], "abstract": "beams represent fundamental structural components in many engineering applications and shape functions are essential for the finite element discretization of such structures premeniecki 1 derived explicit expressions for the shape functions of two dimensional timoshenko and three dimensional euler bernoulli eb beam elements note that for the three dimensional eb element presented in reference 1 a change of sign is required in those entries of the third column of the shape function matrix which correspond to the twist temrs since that pioneering work there does not appear to have been any attempt to extend these results to a three dimensional timoshenko beam element and it is the purpose of this note to fill this gap in the literature", "title_raw": "Shape functions of three-dimensional Timoshenko beam element", "abstract_raw": "Beams represent fundamental structural components in many engineering applications, and shape functions are essential for the finite element discretization of such structures. Premeniecki (1) derived explicit expressions for the shape functions of two-dimensional Timoshenko and three-dimensional Euler-Bernoulli (EB) beam elements. Note that for the three-dimensional EB element presented in reference (1), a change of sign is required in those entries of the third column of the shape function matrix which correspond to the twist temrs. Since that pioneering work, there does not appear to have been any attempt to extend these results to a three-dimensional Timoshenko beam element, and it is the purpose of this note to fill this gap in the literature." }, { "paper": "2022594390", "venue": "62223294", "year": "2003", "title": "moyennes de certaines fonctions multiplicatives sur les entiers friables 4", "label": [ "33577790", "58442840", "187834632", "66475981", "113429393", "112343008", "30860621", "42747912", "2776609879", "114614502" ], "author": [ "2253635705", "2522712603" ], "reference": [ "7552125", "583083673", "831380916", "980964842", "1227947820", "1973350586", "1980308022", "1994968438", "1997891615", "2012117984", "2020789786", "2036105912", "2051831509", "2052339524", "2060773193", "2065830901", "2069546563", "2081397430", "2083780002", "2106160186", "2751862591" ], "abstract": "we provide two generic applications of previously established estimates for friable mean values of non negative multiplicative functions", "title_raw": "Moyennes de certaines fonctions multiplicatives sur les entiers friables, 4", "abstract_raw": "We provide two generic applications of previously established estimates for friable mean values of non-negative multiplicative functions." }, { "paper": "2143882918", "venue": "85738991", "year": "2003", "title": "analysis of hard surfaces of cylindrical structures of arbitrarily shaped cross section using asymptotic boundary conditions", "label": [ "17825722", "60135418", "2524010", "200925200", "134306372", "2775953907", "182310444", "203311528" ], "author": [ "1438295779" ], "reference": [ "626099142", "1481042075", "1489096603", "1580119164", "1990859145", "2009585201", "2102754566", "2107067508", "2134948327" ], "abstract": "the surface equivalence principle is used to formulate the problem of infinitely long cylindrical structures of arbitrary cross section and loaded with metallic strips the strips are tilted by an angle with respect to the cross section plane special cases are considered when the strips are directed along or transverse to the cylinder axis the excitation is an oblique plane wave incident with arbitrary polarization the asymptotic strip boundary condition asbc is used to simplify the problem the surface integral equations are solved using the method of moments the numerical solution is verified with the series solutions of the circular cylinders loaded with helical strips several applications of hard surfaces are presented for structures loaded with tilted strips such as the struts loaded with tilted strips to reduce the equivalent blockage width of the struts and make it polarization independent", "title_raw": "Analysis of hard surfaces of cylindrical structures of arbitrarily shaped cross section using asymptotic boundary conditions", "abstract_raw": "The surface equivalence principle is used to formulate the problem of infinitely long cylindrical structures of arbitrary cross section and loaded with metallic strips. The strips are tilted by an angle with respect to the cross section plane. Special cases are considered when the strips are directed along or transverse to the cylinder axis. The excitation is an oblique plane wave incident with arbitrary polarization. The asymptotic strip boundary condition (ASBC) is used to simplify the problem. The surface integral equations are solved using the method of moments. The numerical solution is verified with the series solutions of the circular cylinders loaded with helical strips. Several applications of hard surfaces are presented for structures loaded with tilted strips such as the struts loaded with tilted strips to reduce the equivalent blockage width of the struts and make it polarization independent." }, { "paper": "3022873428", "venue": "159544283", "year": "2003", "title": "two sided and alternating jacobi davidson", "label": [ "158693339", "85189116", "117586675", "126352355", "90119067", "139352143", "2778158742", "28826006" ], "author": [ "2120837298", "2123808913" ], "reference": [ "1989507268", "2014162479", "2027389940", "2049348317", "2077332562", "2086160340", "2099445233", "2112480689", "2172360265", "2317418032", "2325814484", "2471718648" ], "abstract": "we discuss two variants of a two sided jacobi davidson jd method which have asymptotically cubic convergence for nonnormal matrices and aim to find both right and left eigenvectors these methods can be seen as jacobi davidson analogs of ostrowski s two sided rayleigh quotient iteration rqi some relations between exact and inexact two sided jacobi davidson and exact and inexact two sided rayleigh quotient iteration are given together with convergence rates furthermore we introduce an alternating jacobi davidson process that can be seen as the jacobi davidson analog of parlett s alternating rayleigh quotient iteration the methods are extended to the generalized and polynomial eigenproblem advantages of the methods are illustrated by numerical examples", "title_raw": "Two-sided and alternating Jacobi\u2013Davidson", "abstract_raw": "We discuss two variants of a two-sided Jacobi\u2013Davidson (JD) method, which have asymptotically cubic convergence for nonnormal matrices, and aim to find both right and left eigenvectors. These methods can be seen as Jacobi\u2013Davidson analogs of Ostrowski's two-sided Rayleigh quotient iteration (RQI). Some relations between (exact and inexact) two-sided Jacobi\u2013Davidson and (exact and inexact) two-sided Rayleigh quotient iteration are given, together with convergence rates. Furthermore, we introduce an alternating Jacobi\u2013Davidson process that can be seen as the Jacobi\u2013Davidson analog of Parlett's alternating Rayleigh quotient iteration. The methods are extended to the generalized and polynomial eigenproblem. Advantages of the methods are illustrated by numerical examples." }, { "paper": "1966513386", "venue": "102439543", "year": "2003", "title": "korn s inequalities for piecewise h 1 vector fields", "label": [ "97110765", "48753275", "92244383", "91188154", "164660894", "134306372", "186899397", "135628077" ], "author": [ "2251598066" ], "reference": [ "150774905", "185209593", "1492326914", "1569071183", "1591473593", "1595782612", "1979157226", "1979771104", "2029111242", "2041523977", "2051570063", "2061175874", "2072383570", "2077070913", "2085152406", "2089366649", "2101712703", "2136003379", "2145344822", "2415509676" ], "abstract": "korn s inequalities for piecewise h 1 vector fields are established they can be applied to classical nonconforming finite element methods mortar methods and discontinuous galerkin methods", "title_raw": "Korn's inequalities for piecewise $H^1$ vector fields", "abstract_raw": "Korn's inequalities for piecewise H 1 vector fields are established. They can be applied to classical nonconforming finite element methods, mortar methods and discontinuous Galerkin methods." }, { "paper": "1991637952", "venue": "103321696", "year": "2003", "title": "multiobjective programming methods in the reserve selection problem", "label": [ "41045048", "126255220" ], "author": [ "1988380169" ], "reference": [ "109470110", "1483431698", "1503327452", "1965443582", "1966474628", "1980668711", "1984565147", "1986652617", "1987224193", "1988349199", "2003602917", "2004331489", "2007645463", "2011574062", "2018236846", "2022543384", "2032147830", "2036630125", "2039342664", "2040766929", "2047614184", "2048304650", "2055493653", "2057178439", "2060068258", "2060259671", "2061583694", "2072596117", "2073460812", "2074395147", "2087451353", "2089312353", "2094745735", "2101336270", "2106600454", "2109871461", "2119120784", "2138711194", "2754246489" ], "abstract": "abstract many ecological criteria have been proposed to assign conservation values to nature reserves in the reserve selection problem multiobjective programming is used to identify the best compromise solution among a set of alternative solutions that have been obtained from single objective linear programming methods based upon different criteria endemic plant species from the island of crete in greece are used as a model and a number of cells as they have been implemented by arc info are selected based on four criteria 1 species richness 2 species rarity 3 cell richness 4 cell rarity best compromise solution is identified by i a simple multiattribute rating technique ii geometrical methods based on four distance metrics the two methods are compared and the degree to which they fulfil the four criteria is examined", "title_raw": "Multiobjective programming methods in the reserve selection problem", "abstract_raw": "Abstract Many ecological criteria have been proposed to assign conservation values to nature reserves in the reserve selection problem. Multiobjective programming is used to identify the best compromise solution among a set of alternative solutions that have been obtained from single objective linear programming methods based upon different criteria. Endemic plant species from the island of Crete in Greece are used as a model and a number of cells, as they have been implemented by ARC/INFO, are selected based on four criteria: (1) species richness, (2) species rarity, (3) cell richness, (4) cell rarity. Best compromise solution is identified by (i) a simple multiattribute rating technique, (ii) geometrical methods based on four distance metrics. The two methods are compared and the degree to which they fulfil the four criteria is examined." }, { "paper": "1993573560", "venue": "99182027", "year": "2003", "title": "spectral finite elements for vibrating rods and beams with random field properties", "label": [ "130402806", "134306372", "23463724", "125112378", "190699663", "207864730" ], "author": [ "650966099", "2481494470" ], "reference": [ "331498871", "626778183", "636854413", "1579900883", "1981574059", "2022991202", "2080387506", "2111613271", "2151257620", "2166522960" ], "abstract": "the classical stochastic helmholtz equation grasps through the random field of the refraction index the spatial variability in the mass density but not the variability in elastic moduli or geometric parameters in contradistinction to this restriction the present analysis accounts for the spatial randomness of mass density as well as those of elastic properties and cross sectional geometric properties of rods undergoing longitudinal vibrations and of timoshenko beams in flexural vibrations all the material variabilities are described here by random fourier series with a typical average characteristic size of inhomogeneity d which is either smaller comparable to or larger than the wavelength the third length scale entering the problem but kept constant is the rod or beam length we investigate the relative effects of random noises in all the material parameters on the spectral stiffness matrices associated with rods and beams for a very wide range of frequencies", "title_raw": "Spectral finite elements for vibrating rods and beams with random field properties", "abstract_raw": "The classical stochastic Helmholtz equation grasps, through the random field of the refraction index, the spatial variability in the mass density but not the variability in elastic moduli or geometric parameters. In contradistinction to this restriction, the present analysis accounts for the spatial randomness of mass density as well as those of elastic properties and cross-sectional geometric properties of rods undergoing longitudinal vibrations and of Timoshenko beams in flexural vibrations. All the material variabilities are described here by random Fourier series with a typical (average) characteristic size of inhomogeneity d, which is either smaller, comparable to, or larger than the wavelength. The third length scale entering the problem, but kept constant, is the rod or beam length. We investigate the relative effects of random noises in all the material parameters on the spectral stiffness matrices associated with rods and beams for a very wide range of frequencies." }, { "paper": "1988541088", "venue": "192217950", "year": "2004", "title": "analysis of the neumann problem along a straight edge", "label": [ "163681178", "134306372", "114614502", "31914301", "12843", "115961682", "39927690", "36503486", "68827188", "144618667" ], "author": [ "163847879" ], "reference": [ "1523875655", "1537178461", "1967798138", "2022046249", "2036966500", "2052427487", "2055885634", "2075085615", "2084819352", "2471468540" ], "abstract": "we show there exists an l p solution for p 2 to the open image in new window neumann problem on an edge domain in open image in new window 2 for 0 1 forms and we explicitly compute the singularities which are of complex logarithmic and arctangent type along the edge of the solution", "title_raw": "Analysis of the -Neumann problem along a straight edge", "abstract_raw": "We show there exists an L p solution, for p \u2208 (2,\u221e), to the Open image in new window -Neumann problem on an edge domain in Open image in new window 2 for (0,1)-forms, and we explicitly compute the singularities, which are of complex logarithmic and arctangent type, along the edge, of the solution." }, { "paper": "2033598139", "venue": "90727058", "year": "2004", "title": "solution of some conjectures about topological properties of linear cellular automata", "label": [ "155732524", "118299288", "126794175", "119238805", "2779844624", "32834561", "33962884", "35527583" ], "author": [ "2161608299", "339331339", "310981201" ], "reference": [ "29127030", "40699841", "1500070175", "1518660250", "1528428837", "1532046361", "1577444928", "1830866146", "1980192817", "1998538686", "2002600082", "2008835979", "2009486992", "2017161301", "2023873787", "2047648412", "2089900710", "2092532147", "2122225725", "2295868304", "3138265894" ], "abstract": "we study two dynamical properties of linear d dimensional cellular automata over zm namely denseness of periodic points and topological mixing for what concerns denseness of periodic points we complete the work initiated in theoret comput sci 174 1997 157 theoret comput sci 233 1 2 2000 147 14th annual symp on theoretical aspects of computer science stacs 97 lncs n 1200 springer berlin 1997 pp 427 438 by proving that a linear cellular automata has dense periodic points over the entire space of configurations if and only if it is surjective as conjectured in cattaneo et al 2000 for non surjective linear ca we give a complete characterization of the subspace where periodic points are dense for what concerns topological mixing we prove that this property is equivalent to transitivity and then easily checkable finally we classify linear cellular automata according to the definition of chaos given by devaney in an introduction to chaotic dynamical systems 2nd ed addison wesley reading ma usa 1989", "title_raw": "Solution of some conjectures about topological properties of linear cellular automata", "abstract_raw": "We study two dynamical properties of linear D-dimensional cellular automata over Zm namely, denseness of periodic points and topological mixing. For what concerns denseness of periodic points, we complete the work initiated in (Theoret. Comput. Sci. 174 (1997) 157, Theoret. Comput. Sci. 233 (1-2) (2000) 147, 14th Annual Symp. on Theoretical Aspects of Computer Science (STACS '97), LNCS n. 1200, Springer, Berlin, 1997, pp. 427-438) by proving that a linear cellular automata has dense periodic points over the entire space of configurations if and only if it is surjective (as conjectured in (Cattaneo et al., 2000)). For non-surjective linear CA we give a complete characterization of the subspace where periodic points are dense. For what concerns topological mixing, we prove that this property is equivalent to transitivity and then easily checkable. Finally, we classify linear cellular automata according to the definition of chaos given by Devaney in (An Introduction to Chaotic Dynamical Systems, 2nd ed., Addison-Wesley, Reading, MA, USA, 1989)." }, { "paper": "2007451742", "venue": "158241587", "year": "2004", "title": "locality and orthomodular structure of compound systems", "label": [ "2781018953", "62799726", "118615104", "10927425", "202171527", "70710897", "202444582" ], "author": [ "2520822098" ], "reference": [ "15116035", "1487583654", "1507992226", "1563336820", "1970679383", "1991918243", "1996686235", "2013816244", "2020298132", "2027661703", "2032101017", "2072242074", "2080638085", "2085238995", "2135830616", "2490102944", "2499594374", "2760068242", "3126996113" ], "abstract": "a p lattice is defined as a complete orthomodular atomic lattice l which is formed by the set of propositions of a physical system a composition of physical systems in the framework of p lattices is considered and some notions of locality are given it is shown that the following statements about compound systems are equivalent a all atoms of a compound system are reducible to those of its subsystems b all pure states of a compound system are separable into those of its subsystems c a compound system has statistical property independence d at least one of the subsystems is classical e bell type inequalities hold", "title_raw": "Locality and orthomodular structure of compound systems", "abstract_raw": "A P-lattice is defined as a \u03c3-complete, orthomodular atomic lattice L which is formed by the set of propositions of a physical system. A composition of physical systems in the framework of P-lattices is considered and some notions of locality are given. It is shown that the following statements about compound systems are equivalent. (a) All atoms of a compound system are reducible to those of its subsystems. (b) All pure states of a compound system are separable into those of its subsystems. (c) A compound system has statistical property independence. (d) At least one of the subsystems is classical. (e) Bell-type inequalities hold." }, { "paper": "2005055570", "venue": "90727058", "year": "2004", "title": "a fast natural algorithm for searching", "label": [ "11413529", "125583679", "111696304", "29500201", "60509570", "49937458" ], "author": [ "98799197", "553475523", "2398262901" ], "reference": [ "82042501", "1537406203", "2084652510" ], "abstract": "in this note we present two natural algorithms one for sorting and another for searching a sorted list of items both algorithms work in o n time n being the size of the list a combination of these algorithms can search an unsorted list in o n time an impossibility for classical algorithms the same complexity is achieved by grover s quantum search algorithm in contrast to grover s algorithm which is probabilistic our method is guaranteed correct two applications will conclude this note", "title_raw": "A fast natural algorithm for searching", "abstract_raw": "In this note we present two natural algorithms--one for sorting, and another for searching a sorted list of items. Both algorithms work in O(\u221aN) time, N being the size of the list. A combination of these algorithms can search an unsorted list in O(\u221aN) time, an impossibility for classical algorithms. The same complexity is achieved by Grover's quantum search algorithm; in contrast to Grover's algorithm which is probabilistic, our method is guaranteed correct. Two applications will conclude this note." }, { "paper": "2191508049", "venue": "55826652", "year": "2004", "title": "coordinating inventory control and pricing strategies with random demand and fixed ordering cost the infinite horizon case", "label": [ "149782125", "117938511", "28761237", "122123141", "141513077" ], "author": [ "2557754859", "207197593" ], "reference": [ "109108612", "389907844", "1499587765", "1537013696", "1991513691", "2002444764", "2024312173", "2029806612", "2035446426", "2035518103", "2038353573", "2038718027", "2069855826", "2078645665", "2091722648", "2096847937", "2098432798", "2105357276", "2111669004", "2122108146", "2131275591", "2140742596", "2157672420", "2169927262", "2231413264", "3125367953" ], "abstract": "we analyze an infinite horizon single product periodic review model in which pricing and production inventory decisions are made simultaneously demands in different periods are identically distributed random variables that are independent of each other and their distributions depend on the product price pricing and ordering decisions are made at the beginning of each period and all shortages are backlogged ordering cost includes both a fixed cost and a variable cost proportional to the amount ordered the objective is to maximize expected discounted or expected average profit over the infinite planning horizon we show that a stationary s s p policy is optimal for both the discounted and average profit models with general demand functions in such a policy the period inventory is managed based on the classical s s policy and price is determined based on the inventory position at the beginning of each period", "title_raw": "Coordinating Inventory Control and Pricing Strategies with Random Demand and Fixed Ordering Cost: The Infinite Horizon Case", "abstract_raw": "We analyze an infinite horizon, single-product, periodic review model in which pricing and production/inventory decisions are made simultaneously. Demands in different periods are identically distributed random variables that are independent of each other, and their distributions depend on the product price. Pricing and ordering decisions are made at the beginning of each period, and all shortages are backlogged. Ordering cost includes both a fixed cost and a variable cost proportional to the amount ordered. The objective is to maximize expected discounted, or expected average, profit over the infinite planning horizon. We show that a stationary ( s,S,p) policy is optimal for both the discounted and average profit models with general demand functions. In such a policy, the period inventory is managed based on the classical ( s,S) policy, and price is determined based on the inventory position at the beginning of each period." }, { "paper": "2069722623", "venue": "151579836", "year": "2004", "title": "critical fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux", "label": [ "164154869", "134306372", "186867907" ], "author": [ "2146394592", "2117957535", "2100691053" ], "reference": [ "1550364336", "1565331489", "1989744020", "1996791617", "2033071779", "2041714615", "2046358495", "2046437204", "2064390941", "2071483975", "2079786066", "2092900899", "2093146030", "2094820190", "2142070096", "2328370078" ], "abstract": "we establish the critical fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux and then determine the blow up rates and the blow up sets for the nonglobal solutions", "title_raw": "Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux", "abstract_raw": "We establish the critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux and then determine the blow-up rates and the blow-up sets for the nonglobal solutions." }, { "paper": "2055852511", "venue": "50372074", "year": "2004", "title": "global attractivity of the difference equation xn 1 \u03b1 xn k xn", "label": [ "114614502", "94020503", "36625806", "164380108", "78045399", "134306372", "176321772", "4071166", "26955809" ], "author": [ "2723464797", "2754251816", "2711311834" ], "reference": [ "202863829", "1513096940", "1608917902", "1971292231", "1975664130", "1981440959", "2028951945", "2037628940", "2043533091", "2053000821", "2074290895", "2074711713", "2076507348", "2081059331", "2088979499", "2107629279", "2149743780" ], "abstract": "in this paper we investigate the global stability of all negative solutions of the difference equationx n email protected x n kx n n 0 1 where a 1 is an integer and the initial conditions x k x 0 are arbitrary real numbers we show that the unique negative equilibrium of the equation is a global attractor with a basin that depends on certain conditions of the coefficient", "title_raw": "Global attractivity of the difference equation xn+1=\u03b1+(xn-k/xn)", "abstract_raw": "In this paper, we investigate the global stability of all negative solutions of the difference equationx\"n\"+\"[email\u00a0protected]+x\"n\"-\"kx\"n,n=0,1,...,where @a =1 is an integer, and the initial conditions x\"-\"k,...,x\"0 are arbitrary real numbers. We show that the unique negative equilibrium of the equation is a global attractor with a basin that depends on certain conditions of the coefficient." }, { "paper": "2006830031", "venue": "104894821", "year": "2004", "title": "a character formula for representations of loop groups based on non simply connected lie groups", "label": [ "5106717", "22365015", "81651864", "158464096", "143135876", "186489112", "118615104", "51568863", "172649827", "202444582" ], "author": [ "2165517947" ], "reference": [ "1509413363", "1574295662", "1607402086", "1642629289", "1656484143", "1938146589", "1967496453", "1993129939", "1999109912", "2014750094", "2025794486", "2048988320", "2060342670", "2081687319", "2085088056", "2085115664", "2115599842", "2144457678", "2159148117", "2325524001", "2592132191", "3103559787", "3105362124", "3106473562" ], "abstract": "", "title_raw": "A character formula for representations of loop groups based on non-simply connected Lie groups", "abstract_raw": "" }, { "paper": "2078899750", "venue": "99182027", "year": "2004", "title": "free in plane vibration analysis of rectangular plates by the method of superposition", "label": [ "28719098", "78045399", "27753989", "182310444", "134306372", "62354387" ], "author": [ "2501023222" ], "reference": [ "1970894368", "1996974217", "2019585048", "2024103635" ], "abstract": "abstract the superposition method is introduced as a means for obtaining analytical type solutions for free in plane vibration of rectangular plates the governing differential equations and boundary conditions are expressed in dimensionless form the problem of free in plane vibration of the completely free rectangular plate is resolved for illustrative purposes convergence is found to be rapid and excellent agreement between computed results and those obtained by previous authors utilizing the rayleigh ritz energy method is obtained it is pointed out that following procedures analogous to those utilized in resolving lateral plate vibration problems in plane free vibration problems related to point supported plates plates with in plane elastic boundary support etc are now amenable to solution by this method", "title_raw": "Free in-plane vibration analysis of rectangular plates by the method of superposition", "abstract_raw": "Abstract The superposition method is introduced as a means for obtaining analytical-type solutions for free in-plane vibration of rectangular plates. The governing differential equations and boundary conditions are expressed in dimensionless form. The problem of free in-plane vibration of the completely free rectangular plate is resolved for illustrative purposes. Convergence is found to be rapid and excellent agreement between computed results and those obtained by previous authors utilizing the Rayleigh\u2013Ritz energy method is obtained. It is pointed out that following procedures analogous to those utilized in resolving lateral plate vibration problems, in-plane free vibration problems related to point supported plates, plates with in-plane elastic boundary support, etc., are now amenable to solution by this method." }, { "paper": "2015170649", "venue": "35412551", "year": "2004", "title": "calculation of the transition matrix and of the occupation probabilities for the states of the oslo sandpile model", "label": [ "2780766582", "52359947", "49555168", "35527583", "118615104", "98763669" ], "author": [ "2344257625" ], "reference": [ "3006953473" ], "abstract": "the oslo sandpile model or if one wants to be precise ricepile model is a cellular automaton designed to model experiments on granular piles displaying self organized criticality we present an analytic treatment that allows the calculation of the transition probabilities between the different configurations of the system from here using the theory of markov chains we can obtain the stationary occupation distribution which tells us that the phase space is occupied with probabilities that vary in many orders of magnitude from one state to another our results show how the complexity of this simple model is built as the number of elements increases and allow for small system sizes the exact calculation of the avalanche size distribution and other properties related to the profile of the pile", "title_raw": "Calculation of the transition matrix and of the occupation probabilities for the states of the Oslo sandpile model.", "abstract_raw": "The Oslo sandpile model, or if one wants to be precise, ricepile model, is a cellular automaton designed to model experiments on granular piles displaying self-organized criticality. We present an analytic treatment that allows the calculation of the transition probabilities between the different configurations of the system; from here, using the theory of Markov chains, we can obtain the stationary occupation distribution, which tells us that the phase space is occupied with probabilities that vary in many orders of magnitude from one state to another. Our results show how the complexity of this simple model is built as the number of elements increases, and allow, for small system sizes, the exact calculation of the avalanche-size distribution and other properties related to the profile of the pile." }, { "paper": "2017645110", "venue": "24688465", "year": "2004", "title": "transport in polygonal billiards", "label": [ "5297727", "182860218", "193605512", "151376022", "133905733" ], "author": [ "2126459876", "2121273646", "2599574736" ], "reference": [ "1547392079", "1577336890", "1592958377", "1598573928", "1621727556", "1974903334", "1977920389", "1978945085", "1986119538", "1994155253", "1997054581", "1998371866", "2000367146", "2005201443", "2010282323", "2012352492", "2012783817", "2013396301", "2017980082", "2018209323", "2026720219", "2029492563", "2030380156", "2034434101", "2035247176", "2037175323", "2040028895", "2040602243", "2047375078", "2051365470", "2051366848", "2056000001", "2056080528", "2056454305", "2060810617", "2061431389", "2062035039", "2065646514", "2071129520", "2075390026", "2076293093", "2076374210", "2085276370", "2087044024", "2101048968", "2101706475", "2105367824", "2137239864", "2142652746", "2151666973", "2152000007", "2157300063", "2168511581", "2484454479", "3102179812" ], "abstract": "we present in this work a numerical study of the dynamics of ensembles of point particles within a polygonal billiard chain this billiard is a system with no exponential instability our numerical results suggest that some members of the family exhibit normal diffusive behavior while others present anomalous diffusion our conclusions are drawn from the numerical evaluation of the mean square displacement the velocity autocorrelation function and its spectral analysis furthermore we analyze the properties of the incoherent scattering function the super burnett coefficient seems to be ill defined in all systems the multifractal analysis of the spectrum of the velocity autocorrelation functions is also reported finally we study the heat conduction in our polygonal chain", "title_raw": "Transport in polygonal billiards", "abstract_raw": "We present in this work a numerical study of the dynamics of ensembles of point particles within a polygonal billiard chain. This billiard is a system with no exponential instability. Our numerical results suggest that some members of the family exhibit normal diffusive behavior while others present anomalous diffusion. Our conclusions are drawn from the numerical evaluation of the mean square displacement, the velocity autocorrelation function and its spectral analysis. Furthermore we analyze the properties of the incoherent scattering function. The super Burnett coefficient seems to be ill defined in all systems. The multifractal analysis of the spectrum of the velocity autocorrelation functions is also reported. Finally, we study the heat conduction in our polygonal chain." }, { "paper": "2050809322", "venue": "25538012", "year": "2004", "title": "deformable contour method a constrained optimization approach", "label": [ "142259097", "112353826", "55660270", "124504099", "207002847" ], "author": [ "2308895287", "2294184334", "2160950823" ], "reference": [ "1569930776", "1648628932", "1912601652", "1967885657", "1974334408", "1999244633", "2016967485", "2040811655", "2074841047", "2086921140", "2096987457", "2097222278", "2098152234", "2099753963", "2100723143", "2104095591", "2105170594", "2105217850", "2107920575", "2116040950", "2117740473", "2128841305", "2131602366", "2134434542", "2134820502", "2137474797", "2145803225", "2149184914", "2161237731", "2162837059", "2163940053", "2166209243", "2171101179" ], "abstract": "in this paper a class of deformable contour methods using a constrained optimization approach of minimizing a contour energy function satisfying an interior homogeneity constraint is proposed the class is defined by any positive potential function describing the contour interior characterization an evolutionary strategy is used to derive the algorithm a similarity threshold tv can be used to determine the interior size and shape of the contour sensitivity and significance of tv and a spreadness measure are also discussed and shown experiments on noisy images and the convergence to a minimum energy gap contour are included the developed method has been applied to a variety of medical images from ct abdominal section mri image slices of brain brain tumor a pig heart ultrasound image sequence to visual blood cell images as the results show the algorithm can be adapted to a broad range of medical images containing objects with vague complex and or irregular shape boundary inhomogeneous and noisy interior and contour with small gaps", "title_raw": "Deformable Contour Method: A Constrained Optimization Approach", "abstract_raw": "In this paper, a class of deformable contour methods using a constrained optimization approach of minimizing a contour energy function satisfying an interior homogeneity constraint is proposed. The class is defined by any positive potential function describing the contour interior characterization. An evolutionary strategy is used to derive the algorithm. A similarity threshold Tv can be used to determine the interior size and shape of the contour. Sensitivity and significance of Tv and \u03c3 (a spreadness measure) are also discussed and shown. Experiments on noisy images and the convergence to a minimum energy gap contour are included. The developed method has been applied to a variety of medical images from CT abdominal section, MRI image slices of brain, brain tumor, a pig heart ultrasound image sequence to visual blood cell images. As the results show, the algorithm can be adapted to a broad range of medical images containing objects with vague, complex and/or irregular shape boundary, inhomogeneous and noisy interior, and contour with small gaps." }, { "paper": "2025262338", "venue": "414566", "year": "2004", "title": "localized image watermarking based on feature points of scale space representation", "label": [ "92757383", "9417928", "6408098", "150817343", "193536780", "164112704", "99102927" ], "author": [ "2146815369", "2098576093" ], "reference": [ "171855296", "756198136", "1516619307", "1773272891", "1963623641", "1972517548", "1973976434", "2004856507", "2008711928", "2040992327", "2046498654", "2047450400", "2080064489", "2083992397", "2096142234", "2096776554", "2100115174", "2105833738", "2109200236", "2113183384", "2115247187", "2119747362", "2124087378", "2133907445", "2134195444", "2137193550", "2139761830", "2158459000", "2161647295", "2165497495", "2166212353", "2168283692" ], "abstract": "this paper proposes a novel method for content based watermarking based on feature points of an image at each feature point the watermark is embedded after scale normalization according to the local characteristic scale characteristic scale is the maximum scale of the scale space representation of an image at the feature point by binding watermarking with the local characteristics of an image resilience against affine transformations can be obtained easily experimental results show that the proposed method is robust against various image processing steps including affine transformations cropping filtering and jpeg compression", "title_raw": "Localized image watermarking based on feature points of scale-space representation", "abstract_raw": "This paper proposes a novel method for content-based watermarking based on feature points of an image. At each feature point, the watermark is embedded after scale normalization according to the local characteristic scale. Characteristic scale is the maximum scale of the scale-space representation of an image at the feature point. By binding watermarking with the local characteristics of an image, resilience against affine transformations can be obtained easily. Experimental results show that the proposed method is robust against various image processing steps including affine transformations, cropping, filtering and JPEG compression." }, { "paper": "2138119038", "venue": "184147796", "year": "2004", "title": "a family of simple lie algebras in characteristic two", "label": [ "73648015", "99634282", "125565743", "202444582", "203946495", "5475112", "66411559", "186489112", "144091092", "518143113" ], "author": [ "125273320" ], "reference": [ "15927445", "44537977", "1498389034", "1503711690", "1543877612", "1582350828", "1586229806", "1968010550", "1978671974", "1986092031", "1986843092", "2034691647", "2037858369", "2044144604", "2045773955", "2048988320", "2057198567", "2061430642", "2062794162", "2093607032", "2118282319", "2584663318", "2964243840", "3022632743" ], "abstract": "abstract in this paper a new two parameter family of simple lie algebras defined over fields of characteristic two is described they are used to construct loop algebras which are central to the classification of graded lie algebras with maximal class and characteristic two", "title_raw": "A family of simple Lie algebras in characteristic two", "abstract_raw": "Abstract In this paper a new two-parameter family of simple Lie algebras defined over fields of characteristic two is described. They are used to construct loop algebras which are central to the classification of graded Lie algebras with maximal class and characteristic two." }, { "paper": "2170043419", "venue": "2898222998", "year": "2004", "title": "three power series techniques", "label": [ "2779215648", "2779638872", "118712358", "73905626", "126794175", "202444582", "93063749", "173110770" ], "author": [ "2138752086" ], "reference": [ "1658982721", "1675890124", "2010539187", "2051424471", "2059064838", "2065687602" ], "abstract": "the techniques and concepts we present are flags of regular schemes and their persistence under blow up the gauss bruhat decomposition of the group of formal automorphisms of affine space and coordinate free initial ideals all three are used to construct and study invariants for resolution of singularities", "title_raw": "Three power series techniques", "abstract_raw": "The techniques and concepts we present are flags of regular schemes and their persistence under blow-up, the Gauss?Bruhat decomposition of the group of formal automorphisms of affine space, and coordinate-free initial ideals. All three are used to construct and study invariants for resolution of singularities." }, { "paper": "2085757423", "venue": "56603566", "year": "2004", "title": "stabilization of planar switched systems", "label": [ "45374587", "195956108", "25854792", "65244806", "37935115", "201030206", "84135550" ], "author": [ "2099465354" ], "reference": [ "1971272546", "1995063858", "2059677219", "2096235607", "2098916117", "2099839128", "2100105540", "2103680539", "2109994630", "2118741873", "2142457049", "2143181390", "2154510168", "2164153476", "2168252363", "2586288178", "3134653577" ], "abstract": "this paper considers the problem of stabilization of single input planar switched systems we assume the switching law is observable a formula is presented which provides a necessary and sufficient condition for the system to be quadratically stabilizable a set of linear inequalities are given to describe the set of all quadratic lyapunov functions the solvability and the control design technique are clearly described in a straightforward computation algorithm", "title_raw": "Stabilization of planar switched systems", "abstract_raw": "This paper considers the problem of stabilization of single-input planar switched systems. We assume the switching law is observable, a formula is presented, which provides a necessary and sufficient condition for the system to be quadratically stabilizable. A set of linear inequalities are given to describe the set of all quadratic Lyapunov functions. The solvability and the control design technique are clearly described in a straightforward computation algorithm." }, { "paper": "2062699724", "venue": "151579836", "year": "2004", "title": "global weighted inequalities for operators and harmonic forms on manifolds", "label": [ "202444582", "202171527", "88221313", "134306372", "5961521", "2779682053" ], "author": [ "3190083652", "3176531734" ], "reference": [ "818962583", "1488877410", "1519096791", "1534845904", "1544375930", "1973937705", "1988382834", "2024044284", "2036610795", "2038151469", "2039490046", "2092272609", "2326302425", "2331885725" ], "abstract": "abstract in this paper both the local and global weighted sobolev poincare imbedding inequalities and poincare inequalities for the composition t g are established where t is the homotopy operator and g is green s operator applied to a harmonic forms on manifolds", "title_raw": "Global weighted inequalities for operators and harmonic forms on manifolds", "abstract_raw": "Abstract In this paper, both the local and global weighted Sobolev\u2013Poincare imbedding inequalities and Poincare inequalities for the composition T \u2218 G are established, where T is the homotopy operator and G is Green's operator applied to A -harmonic forms on manifolds." }, { "paper": "2029320580", "venue": "165473669", "year": "2004", "title": "l 1 based decomposition and reconstruction algorithms and w matrices", "label": [ "139945424", "48753275", "11413529", "138561194", "172294467" ], "author": [ "2653809179", "2717037566", "3184828056" ], "reference": [ "31312143", "1972144725", "1987842033", "2092460410", "2134651899", "2166087152" ], "abstract": "mallat s decomposition and reconstruction algorithms are very important in the field of wavelet theory and its application to signal processing wavelet theory is based on l2 r space and the classical mean square error is employed naturally in many relevant applications in the recent years it is understood that the l2 space is not always the best one for all applications therefore wavelet theory and its approximation properties were also studied in l1 r by many researchers the orthogonality was also developed in l1 space in our previous work in this paper based on our previous work on l1 orthogonality two novel decomposition and reconstruction algorithms called mae and eto algorithms are discussed in detail the exact reconstruction algorithms are also established by extending the concept of w matrices experiments are conducted to support these new algorithms", "title_raw": "L 1 -based decomposition and reconstruction algorithms and W-matrices", "abstract_raw": "Mallat's decomposition and reconstruction algorithms are very important in the field of wavelet theory and its application to signal processing. Wavelet theory is based on L2(R) space and the classical mean square error is employed naturally in many relevant applications. In the recent years, it is understood that the L2 space is not always the best one for all applications. Therefore, wavelet theory and its approximation properties were also studied in L1(R) by many researchers. The orthogonality was also developed in L1 space in our previous work. In this paper, Based on our previous work on L1 orthogonality, two novel decomposition and reconstruction algorithms, called MAE and ETO algorithms, are discussed in detail. The exact reconstruction algorithms are also established by extending the concept of W-matrices. Experiments are conducted to support these new algorithms." }, { "paper": "1968664650", "venue": "62401924", "year": "2004", "title": "components of variance", "label": [ "105795698", "192424360", "120669948", "855514", "152732102" ], "author": [ "2695957407" ], "reference": [], "abstract": "", "title_raw": "Components of Variance", "abstract_raw": "" }, { "paper": "1979704552", "venue": "3006183880", "year": "2004", "title": "spectral concentrations and resonances of a second order block operator matrix and an associated \u03bb rational sturm liouville problem", "label": [ "37914503", "2780840165", "22892174", "2777210771", "134306372", "2780297109", "158693339", "2776553667", "118299288" ], "author": [ "2096314218", "2140121375", "2242423703" ], "reference": [ "1598995284", "1908105205", "1972064173", "1994902252", "2006860684", "2025198004", "2027981723", "2029335792", "2055736191" ], "abstract": "this paper studies the resonances and points of spectral concentration of the block operator matrix egin pmatrix frac d 2 d x 2 q sqrt tw sqrt tw u end pmatrix in the space l 2 0 1 oplus l 2 0 1 in particular we study the dynamics of the resonance eigenvalue t showing that an embedded eigenvalue can evolve into a resonance and that eigenvalues which are absorbed by the essential spectrum give rise to resonance points a connection is also established between resonances and points of spectral concentration finally some numerical examples are given which show that each of the above theoretical possibilities can be realized", "title_raw": "Spectral concentrations and resonances of a second\u2013order block operator matrix and an associated \u03bb\u2013rational Sturm-Liouville problem", "abstract_raw": "This paper studies the resonances and points of spectral concentration of the block operator matrix $$\\egin{pmatrix} -\\frac{d^2}{d x^2}+q & \\sqrt{tw} \\\\ \\sqrt{tw} & u \\end{pmatrix} $$ in the space $L^2(0,1) \\oplus L^2(0,1)$. In particular we study the dynamics of the resonance/eigenvalue \u03bb(t), showing that an embedded eigenvalue can evolve into a resonance and that eigenvalues which are absorbed by the essential spectrum give rise to resonance points. A connection is also established between resonances and points of spectral concentration. Finally, some numerical examples are given which show that each of the above theoretical possibilities can be realized." }, { "paper": "2114607103", "venue": "4502562", "year": "2004", "title": "time intervals and counting in point processes", "label": [ "52386014", "118615104", "43555835", "134306372", "165216359", "138405894", "88871306", "58948655", "103982235" ], "author": [ "2307284601" ], "reference": [ "1586180564", "1596813302", "1982365703", "2001685673", "2006672084", "2040882982", "2131611181", "2510941000", "2570578588", "2588293426", "2592164502", "2795404169" ], "abstract": "time point processes can be analyzed in two different ways by the number of points in arbitrary time intervals or by distance between points this corresponds to two distinct physical devices counting or time interval measurements we present an explicit calculation valid for arbitrary regular processes of the statistical properties of time intervals such as residual or life time in terms of counting probabilities for this calculation we show that these intervals must be considered as random variables defined by conditional distributions", "title_raw": "Time intervals and counting in point processes", "abstract_raw": "Time point processes can be analyzed in two different ways: by the number of points in arbitrary time intervals or by distance between points. This corresponds to two distinct physical devices: counting or time-interval measurements. We present an explicit calculation, valid for arbitrary regular processes, of the statistical properties of time intervals such as residual or life time in terms of counting probabilities. For this calculation, we show that these intervals must be considered as random variables defined by conditional distributions." }, { "paper": "2044741154", "venue": "56603566", "year": "2004", "title": "smooth lyapunov functions and robustness of stability for difference inclusions", "label": [ "97970142", "60640748", "134306372", "78045399", "167964875" ], "author": [ "1809538957", "2146303847" ], "reference": [ "1535429593", "1588340316", "1592648094", "1967530463", "2031096847", "2057820893", "2080106578", "2080209002", "2145731676", "2151136609", "2162053828", "2162807113", "3021722416", "3163755257" ], "abstract": "we demonstrate the equivalence of robust global asymptotic stability gas of the origin and the existence of a smooth lyapunov function for difference inclusions defined by upper semicontinuous set valued maps sufficient conditions for robust gas are given as an application of these results we give conditions for robust gas of difference equations defined by discontinuous right hand sides", "title_raw": "Smooth Lyapunov functions and robustness of stability for difference inclusions", "abstract_raw": "We demonstrate the equivalence of robust global asymptotic stability (GAS) of the origin and the existence of a smooth Lyapunov function for difference inclusions defined by upper semicontinuous set-valued maps. Sufficient conditions for robust GAS are given. As an application of these results, we give conditions for robust GAS of difference equations defined by discontinuous right-hand sides." }, { "paper": "1993739672", "venue": "35412551", "year": "2004", "title": "publisher s note resonant activation in discrete systems phys rev e 69 051109 2004", "label": [ "122203268" ], "author": [ "1046534448", "3100840140" ], "reference": [], "abstract": "", "title_raw": "Publisher's Note: Resonant activation in discrete systems[ Phys. Rev. E 69, 051109 (2004)]", "abstract_raw": "" }, { "paper": "2061164048", "venue": "51360982", "year": "2004", "title": "algorithms for worst case identification in h and in the \u03bd gap metric", "label": [ "2776426709", "79699506", "11413529", "198386975", "205617318", "6802819", "2778500080", "8590192" ], "author": [ "1868857335", "1930261283" ], "reference": [ "589030137", "597526370", "1510299169", "2004485838", "2017669536", "2020986909", "2034204595", "2039867272", "2050788427", "2097294964", "2103908706", "2106386783", "2122875189", "2130318261", "3158545573" ], "abstract": "this paper considers two robustly convergent algorithms for the identification of a linear system from possibly noisy frequency response data both algorithms are based on the same principle obtaining a good worst case fit to the data under a smoothness constraint on the obtained model however they differ in their notions of distance and smoothness the first algorithm yields an fir model of a stable system and is optimal in a certain sense for a finite model order the second algorithm may be used for modelling unstable plants and yields a real rational approximation in the l 2 gap given a model and a controller stabilising the true plant a procedure for winding number correction is also suggested", "title_raw": "Algorithms for worst case identification in H\u221e and in the \u03bd-gap metric", "abstract_raw": "This paper considers two robustly convergent algorithms for the identification of a linear system from (possibly) noisy frequency response data. Both algorithms are based on the same principle; obtaining a good worst case fit to the data under a smoothness constraint on the obtained model. However they differ in their notions of distance and smoothness. The first algorithm yields an FIR model of a stable system and is optimal, in a certain sense for a finite model order. The second algorithm may be used for modelling unstable plants and yields a real rational approximation in the L\"2-gap. Given a model and a controller stabilising the true plant, a procedure for winding number correction is also suggested." }, { "paper": "1993296155", "venue": "200871675", "year": "2004", "title": "on camel like traveling wave solutions in cellular neural networks", "label": [ "144618667", "134306372", "51544822", "142885752", "2777215656" ], "author": [ "2134688877", "2111921466" ], "reference": [ "1483675707", "1502414959", "1509576544", "1981987846", "1993693726", "2003128769", "2046114643", "2046960180", "2049577681", "2056717940", "2068597145", "2071564573", "2107025852", "2160121923", "3021722416" ], "abstract": "abstract this paper is concerned with the existence of camel like traveling wave solutions of cellular neural networks distributed in the one dimensional integer lattice z 1 the dynamics of each given cell depends on itself and its nearest m left neighbor cells with instantaneous feedback the profile equation of the infinite system of ordinary differential equations can be written as a functional differential equation in delayed type under appropriate assumptions we can directly figure out the solution formula with many parameters when the wave speed is negative and close to zero we prove the existence of camel like traveling waves for certain parameters in addition we also provide some numerical results for more general output functions and find out oscillating traveling waves numerically", "title_raw": "On camel-like traveling wave solutions in cellular neural networks", "abstract_raw": "Abstract This paper is concerned with the existence of camel-like traveling wave solutions of cellular neural networks distributed in the one-dimensional integer lattice Z 1 . The dynamics of each given cell depends on itself and its nearest m left neighbor cells with instantaneous feedback. The profile equation of the infinite system of ordinary differential equations can be written as a functional differential equation in delayed type. Under appropriate assumptions, we can directly figure out the solution formula with many parameters. When the wave speed is negative and close to zero, we prove the existence of camel-like traveling waves for certain parameters. In addition, we also provide some numerical results for more general output functions and find out oscillating traveling waves numerically." }, { "paper": "2043490811", "venue": "103321696", "year": "2004", "title": "minimum cost spanning tree games and population monotonic allocation schemes", "label": [ "199346575", "126255220", "37810922", "1649724", "65949645", "63645285", "64331007", "13743678" ], "author": [ "1488960365", "2137992197", "2986682035" ], "reference": [ "1965680834", "1966848756", "1995443028", "2017927472", "2090279452", "2093715448", "2272494764", "2738911622" ], "abstract": "in this paper we present the subtraction algorithm that computes for every classical minimum cost spanning tree game a population monotonic allocation scheme as a basis for this algorithm serves a decomposition theorem that shows that every minimum cost spanning tree game can be written as nonnegative combination of minimum cost spanning tree games corresponding to 0 1 cost functions it turns out that the subtraction algorithm is closely related to the famous algorithm of kruskal for the determination of minimum cost spanning trees for variants of the classical minimum cost spanning tree games we show that population monotonic allocation schemes do not necessarily exist", "title_raw": "Minimum cost spanning tree games and population monotonic allocation schemes", "abstract_raw": "In this paper we present the Subtraction Algorithm that computes for every classical minimum cost spanning tree game a population monotonic allocation scheme. As a basis for this algorithm serves a decomposition theorem that shows that every minimum cost spanning tree game can be written as nonnegative combination of minimum cost spanning tree games corresponding to 0\u20131 cost functions. It turns out that the Subtraction Algorithm is closely related to the famous algorithm of Kruskal for the determination of minimum cost spanning trees. For variants of the classical minimum cost spanning tree games we show that population monotonic allocation schemes do not necessarily exist." }, { "paper": "1992402885", "venue": "50372074", "year": "2004", "title": "computational methods for reaction diffusion problems for fourth order ordinary differential equations with a small parameter at the highest derivative", "label": [ "134306372", "11683690", "121112783", "51544822", "26955809", "182310444", "78045399", "114460028", "48753275" ], "author": [ "2893654725", "2558495170" ], "reference": [ "609598071", "1480673526", "1524707262", "1547666981", "1974273963", "1976549596", "1980845091", "1990562152", "1997868060", "1999977077", "2007020272", "2008738581", "2009343422", "2016278383", "2020244851", "2020688750", "2023292440", "2025718021", "2029318990", "2036371403", "2036400842", "2046904024", "2048077480", "2050594690", "2068500663", "2071145897", "2072919265", "2085466143", "2086400877", "2095464465", "2119828074", "2146475526", "2470584981" ], "abstract": "in this paper basically asymptotic numerical methods for solving singularly perturbed two point boundary value problems for fourth order ordinary differential equations of the form ey i v x b x y x c x y x f x x d 0 1 y 0 p y 0 q y 0 r y 1 s is considered here a prime denotes a differentiation with respect to x b x c x and f x are smooth functions b x b 0 0 c x c c 0 and 0 e 1 the above boundary value problem is transformed into an equivalent weakly coupled system of two first order ordinary differential equations subject to suitable initial conditions and one second order singularly perturbed ordinary differential equations subject to suitable boundary conditions in order to solve this system three computational methods are suggested in this paper in these methods first we find a zero order asymptotic approximation of the solution of the weakly coupled system then the system is decoupled by replacing the first component of the solution by its zero order asymptotic approximation of the solution in the second order equation then the second order equation is solved separately by three methods namely fitted operator method fitted mesh method and boundary value technique error estimates are derived and examples are provided to illustrate the methods", "title_raw": "Computational methods for reaction-diffusion problems for fourth order ordinary differential equations with a small parameter at the highest derivative", "abstract_raw": "In this paper basically-asymptotic numerical methods for solving singularly perturbed two-point boundary value problems for fourth order ordinary differential equations of the form-@ey^i^v(x)+b(x)y^'^'(x)+c(x)y(x)=f(x),x@?D:=(0,1),y(0)=p,y^'(0)=q,y^'^'(0)=r,y^'^'(1)=s,is considered. Here a prime ''''' denotes a differentiation with respect to x, b(x), c(x) and f(x) are smooth functions, b(x)>=@b>0, 0>=c(x)>=-@c, @c>0 and 0<@e@?1. The above boundary value problem is transformed into an equivalent weakly coupled system of two first order ordinary differential equations subject to suitable initial conditions and one second order singularly perturbed ordinary differential equations subject to suitable boundary conditions. In order to solve this system three computational methods are suggested in this paper. In these methods, first we find a zero order asymptotic approximation of the solution of the weakly coupled system. Then the system is decoupled by replacing the first component of the solution by its zero order asymptotic approximation of the solution in the second order equation. Then the second order equation is solved separately by three methods namely fitted operator method, fitted mesh method and boundary value technique. Error estimates are derived and examples are provided to illustrate the methods." }, { "paper": "2017797683", "venue": "56603566", "year": "2004", "title": "robust stability and stabilisation of 2d discrete state delayed systems", "label": [ "2778533034", "36625806", "113976600", "201829737", "65244806", "143170015" ], "author": [ "1976031890", "2149161852", "1974125096", "2100803789", "2108491545" ], "reference": [ "185935341", "433972222", "651584323", "964075481", "1193630639", "1482504246", "1502089761", "1528670960", "1587890916", "1589577058", "1668151268", "1824959818", "1904241079", "1988098342", "2031088774", "2031993719", "2055319245", "2068949087", "2089931414", "2097956366", "2099839128", "2157192413" ], "abstract": "abstract in this paper we first present sufficient stability and robust stability conditions for discrete linear state delayed 2d systems in terms of linear matrix inequalities all results are obtained with fornasini marchesini delay model but appropriate transformation to the corresponding roesser form is provided as well generalisation to the multiple state delayed case is also given then the stabilisation and robust stabilisation using static state feedback are studied stabilising feedback gain matrices are constructed based on the solutions of certain linear matrix inequalities an numerical example is used to illustrate the effectiveness of the approach", "title_raw": "Robust stability and stabilisation of 2D discrete state-delayed systems", "abstract_raw": "Abstract In this paper, we first present sufficient stability and robust stability conditions for discrete linear state-delayed 2D systems in terms of linear matrix inequalities. All results are obtained with Fornasini\u2013Marchesini delay model but appropriate transformation to the corresponding Roesser form is provided as well. Generalisation to the multiple state-delayed case is also given. Then the stabilisation and robust stabilisation using static state feedback are studied. Stabilising feedback gain matrices are constructed based on the solutions of certain linear matrix inequalities. An numerical example is used to illustrate the effectiveness of the approach." }, { "paper": "2121408925", "venue": "148709879", "year": "2004", "title": "hermite weno schemes and their application as limiters for runge kutta discontinuous galerkin method one dimensional case", "label": [ "135628077", "92244383", "17378031", "181582579", "201362023", "134306372", "186429297", "3445786" ], "author": [ "2115060954", "2165365387" ], "reference": [ "1886421468", "1973481688", "1982465309", "1982883068", "1993923624", "1998830482", "1999399767", "2009365724", "2025982575", "2029573175", "2034342348", "2038107889", "2039150507", "2045849310", "2047844727", "2048941652", "2054662916", "2064641933", "2065908448", "2066501150", "2070854540", "2084413738", "2085961649", "2094529927", "2104463304", "2145773696", "2158522603", "3010292040" ], "abstract": "in this paper a class of fifth order weighted essentially non oscillatory weno schemes based on hermite polynomials termed hweno hermite weno schemes for solving one dimensional nonlinear hyperbolic conservation law systems is presented the construction of hweno schemes is based on a finite volume formulation hermite interpolation and nonlinearly stable runge kutta methods the idea of the reconstruction in the hweno schemes comes from the original weno schemes however both the function and its first derivative values are evolved in time and used in the reconstruction while only the function values are evolved and used in the original weno schemes comparing with the original weno schemes of liu et al j comput phys 115 1994 200 and jiang and shu j comput phys 126 1996 202 one major advantage of hweno schemes is its compactness in the reconstruction for example five points are needed in the stencil for a fifth order weno weno5 reconstruction while only three points are needed for a fifth order hweno hweno5 reconstruction for this reason the hweno finite volume methodology is more suitable to serve as limiters for the runge kutta discontinuous galerkin rkdg methods than the original weno finite volume methodology such applications in one space dimension is also developed in this paper", "title_raw": "Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case", "abstract_raw": "In this paper, a class of fifth-order weighted essentially non-oscillatory (WENO) schemes based on Hermite polynomials, termed HWENO (Hermite WENO) schemes, for solving one-dimensional nonlinear hyperbolic conservation law systems is presented. The construction of HWENO schemes is based on a finite volume formulation, Hermite interpolation, and nonlinearly stable Runge-Kutta methods. The idea of the reconstruction in the HWENO schemes comes from the original WENO schemes, however both the function and its first derivative values are evolved in time and used in the reconstruction, while only the function values are evolved and used in the original WENO schemes. Comparing with the original WENO schemes of Liu et al. [J. Comput. Phys. 115 (1994) 200] and Jiang and Shu [J. Comput. Phys. 126 (1996) 202], one major advantage of HWENO schemes is its compactness in the reconstruction. For example, five points are needed in the stencil for a fifth-order WENO (WENO5) reconstruction, while only three points are needed for a fifth-order HWENO (HWENO5) reconstruction. For this reason, the HWENO finite volume methodology is more suitable to serve as limiters for the Runge-Kutta discontinuous Galerkin (RKDG) methods, than the original WENO finite volume methodology. Such applications in one space dimension is also developed in this paper." }, { "paper": "2012084855", "venue": "79244937", "year": "2004", "title": "unified analytical treatment of multicentre electron attraction electric field and electric field gradient integrals over slater orbitals", "label": [ "5806529", "186080144" ], "author": [ "2601021898" ], "reference": [ "1607075345", "1635834182", "1965961244", "1966956611", "1979281970", "1983225298", "1993614086", "1997305527", "2002764473", "2003813344", "2004955978", "2004982264", "2011319045", "2018668000", "2019579944", "2024662796", "2030891594", "2055126792", "2060115485", "2062832267", "2065348639", "2073978702", "2074364830", "2075135548", "2088894054", "2092979157", "2095027556", "2127151251", "2136069940", "2168889002", "3012119650" ], "abstract": "the new central and noncentral potential functions cpfs and ncpfs of a molecule depending on the coordinates of the nuclei are introduced using complete orthonormal sets of exponential type orbitals etos introduced by the author the series expansion formulae for the multicentre electronic attraction ea electric field ef and electric field gradient efg integrals over slater type orbitals stos in terms of cpfs and ncpfs are derived the relationships obtained are valid for the arbitrary location quantum numbers and screening constants of stos", "title_raw": "Unified analytical treatment of multicentre electron attraction, electric field and electric field gradient integrals over Slater orbitals", "abstract_raw": "The new central and noncentral potential functions (CPFs and NCPFs) of a molecule depending on the coordinates of the nuclei are introduced. Using complete orthonormal sets of \u03a8\u03b1-exponential-type orbitals (\u03a8\u03b1-ETOs) introduced by the author, the series expansion formulae for the multicentre electronic attraction (EA), electric field (EF) and electric field gradient (EFG) integrals over Slater-type orbitals (STOs) in terms of CPFs and NCPFs are derived. The relationships obtained are valid for the arbitrary location, quantum numbers and screening constants of STOs." }, { "paper": "2022518211", "venue": "50372074", "year": "2004", "title": "thermal boundary layer problems in a semi infinite flat plate by the differential transformation method", "label": [ "48753275", "26955809", "158622935", "194571181", "134306372" ], "author": [ "2478194724" ], "reference": [ "607196801", "1537760540", "1993373894" ], "abstract": "this paper investigates the velocity and temperature field in the thermal boundary layer over a semi infinite flat plate the differential transformation method is used to determine some solutions of these velocity and thermal boundary layer problems numerical results for the dimensionless temperature profiles are presented graphically for different values of prandtl number it is found that the results obtained by the present method are in good agreement with those provided by other numerical methods", "title_raw": "Thermal boundary-layer problems in a semi-infinite flat plate by the differential transformation method", "abstract_raw": "This paper investigates the velocity and temperature field in the thermal boundary layer over a semi-infinite flat plate. The differential transformation method is used to determine some solutions of these velocity and thermal boundary-layer problems. Numerical results for the dimensionless temperature profiles are presented graphically for different values of Prandtl number. It is found that the results obtained by the present method are in good agreement with those provided by other numerical methods." }, { "paper": "2010176669", "venue": "99182027", "year": "2004", "title": "meshless formulation using nurbs basis functions for eigenfrequency changes of beam having multiple open cracks", "label": [ "5917680", "14198674", "111258989", "135628077", "48753275", "186899397", "2777042112", "134306372", "2524010" ], "author": [ "2168272694", "2552268327" ], "reference": [ "1548879090", "1570844572", "1674880977", "1971082283", "1991949304", "1995746500", "1997359704", "2009004578", "2030276379", "2030651724", "2036417529", "2037450009", "2037679203", "2039383824", "2041858377", "2054732436", "2069479053", "2071401051", "2085967522", "2093090880", "2102727531", "2123003753", "2142136198", "2142813672", "2145364658", "2165834163" ], "abstract": "abstract this paper presents a meshless formulation using non uniform rational b spline nurbs basis functions and its applications to evaluate natural frequencies of a beam having multiple open cracks node based nurbs basis functions are used to construct the approximation function the characteristic differentiability of the nurbs basis functions allows it to represent a function having specific degrees of smoothness and or discontinuity the discontinuity can be incorporated simply by assigning multiple knots at those locations hence it can yield exact solutions having interior discontinuous derivatives these advantages of nurbs are well known and have been used extensively in graphical approximation of geometrical surfaces however it is seldom used in other engineering applications to model the multiple open cracks in a beam quartic nurbs basis functions are employed and quadruplicate knots are assigned at the crack locations hence it is capable to model the abrupt changes of slope the first derivative of displacement across a crack in the present applications additional equivalent massless rotational springs are inserted at the crack locations to represent the local flexibility caused by the cracks as such the cracked beam can be treated in the usual manner as a continuous beam by adopting the meshless petrov galerkin formulation a generalized stiffness matrix for the cracked beam can be derived compared to the conventional finite element method the present method does not require a finite element mesh for the purposes of interpolation and numerical integration the advantages and effectiveness of the present method is illustrated in solving the eigenfrequencies of a beam having multiple open cracks of different depths", "title_raw": "Meshless formulation using NURBS basis functions for eigenfrequency changes of beam having multiple open-cracks", "abstract_raw": "Abstract This paper presents a meshless formulation using non-uniform rational B-spline (NURBS) basis functions, and its applications to evaluate natural frequencies of a beam having multiple open-cracks. Node-based NURBS basis functions are used to construct the approximation function. The characteristic differentiability of the NURBS basis functions allows it to represent a function having specific degrees of smoothness and/or discontinuity. The discontinuity can be incorporated simply by assigning multiple knots at those locations. Hence, it can yield exact solutions having interior discontinuous derivatives. These advantages of NURBS are well known, and have been used extensively in graphical approximation of geometrical surfaces. However, it is seldom used in other engineering applications. To model the multiple open-cracks in a beam, quartic NURBS basis functions are employed and quadruplicate knots are assigned at the crack locations. Hence, it is capable to model the abrupt changes of slope (the first derivative of displacement) across a crack. In the present applications, additional equivalent massless rotational springs are inserted at the crack locations to represent the local flexibility caused by the cracks. As such, the cracked beam can be treated in the usual manner as a continuous beam. By adopting the meshless Petrov\u2013Galerkin formulation, a generalized stiffness matrix for the cracked beam can be derived. Compared to the conventional finite element method, the present method does not require a finite element mesh for the purposes of interpolation and numerical integration. The advantages and effectiveness of the present method is illustrated in solving the eigenfrequencies of a beam having multiple open-cracks of different depths." }, { "paper": "2027543406", "venue": "181675524", "year": "2004", "title": "a new method for estimating joint parameters from motion data", "label": [ "22679943", "76724020", "151905218", "80192629", "11413529" ], "author": [ "2147237700", "277144198" ], "reference": [ "577370748", "1481030933", "1803418553", "1978719434", "1981388915", "1986995050", "2009575464", "2025801751", "2037921799", "2041504381", "2049223406", "2056584076", "2103461737", "2129318770", "2140047417", "2432517183", "2981264952" ], "abstract": "joint centers and axes of rotation joint parameters are central to all branches of movement analysis in gait analysis the standard protocol used to determine hip and knee joint parameters is prone to errors arising from palpation anthropometric regression equations and misplaced alignment devices several alternative methods have been proposed but to date none have been shown to be accurate and reliable enough for use in the clinical setting this article describes a new method for joint parameter estimation the new method can be summarized as follows i the motions of two adjacent segments spanning a single joint are tracked ii the axis of rotation between every pair of observed segment configurations is computed iii the most likely intersection of all axes effective joint center and most likely orientation of the axes effective joint axis is found initial validation of the method was conducted on a hinged mechanical analog and a single healthy adult subject for the analog the center was found to be within 3 8 mm of the geometric center and 2 0 degrees of the geometric axis standard deviation for the adult subject hip centers varied on the order of 1 3 mm knee centers by 3 9 mm and knee axes by 2 0 degrees the results suggest that the new method is an objective precise and practical alternative to the standard clinical approach", "title_raw": "A new method for estimating joint parameters from motion data", "abstract_raw": "Joint centers and axes of rotation (joint parameters) are central to all branches of movement analysis. In gait analysis, the standard protocol used to determine hip and knee joint parameters is prone to errors arising from palpation, anthropometric regression equations, and misplaced alignment devices. Several alternative methods have been proposed, but to date none have been shown to be accurate and reliable enough for use in the clinical setting. This article describes a new method for joint parameter estimation. The new method can be summarized as follows: (i) the motions of two adjacent segments spanning a single joint are tracked, (ii) the axis of rotation between every pair of observed segment configurations is computed, (iii) the most likely intersection of all axes (effective joint center) and most likely orientation of the axes (effective joint axis) is found. Initial validation of the method was conducted on a hinged mechanical analog and a single healthy adult subject. For the analog, the center was found to be within 3.8 mm of the geometric center and 2.0 degrees of the geometric axis (standard deviation). For the adult subject, hip centers varied on the order of 1-3 mm, knee centers by 3-9 mm, and knee axes by 2.0 degrees. The results suggest that the new method is an objective, precise, and practical alternative to the standard clinical approach." }, { "paper": "2073286366", "venue": "90727058", "year": "2004", "title": "many aspects of defect theorems", "label": [ "90805587", "149685015", "118615104", "194886279", "171636804", "164804908", "200602138", "68227491" ], "author": [ "1916382508", "57579585" ], "reference": [ "46283434", "137071685", "196919032", "1505482284", "1514324498", "1536811295", "1586417893", "1922096600", "1965895990", "1975641934", "1985675037", "1998572425", "2002089154", "2011933258", "2017919142", "2018171227", "2033082127", "2063941709", "2088664161", "2111270089", "2167954650", "2499290539" ], "abstract": "we give a survey and a unified presentation of the defect theorem its generalizations and recent aspects of interest in its basic form the defect theorem states that if a set of n words satisfies a nontrivial relation then these words can be expressed simultaneously as products of at most n 1 words in other words dependency of words causes a defect effect there does not exist just one defect theorem but several ones depending on the restrictions that are put to the n 1 words the defect theorem is closely related to equations of words and in this way to the compactness theorem for systems of word equations", "title_raw": "Many aspects of defect theorems", "abstract_raw": "We give a survey and a unified presentation of the defect theorem, its generalizations and recent aspects of interest. In its basic form, the defect theorem states that if a set of n words satisfies a nontrivial relation, then these words can be expressed simultaneously as products of at most n - 1 words. In other words, dependency of words causes a defect effect. There does not exist just one defect theorem, but several ones depending on the restrictions that are put to the n - 1 words. The defect theorem is closely related to equations of words, and in this way to the compactness theorem for systems of word equations." }, { "paper": "2013308202", "venue": "50372074", "year": "2004", "title": "a stability estimate of an inverse problem in financial prospection", "label": [ "126255220", "2777451057", "194483076", "152442038", "176321772", "43466630", "135252773", "77346573", "112972136" ], "author": [ "2417950082" ], "reference": [ "1503295912", "1969859358", "2059862231", "2077791698", "2083354752", "2795407492", "3191723236" ], "abstract": "in many option pricing models there is a need to derive a stability estimate of their solutions this paper is concerned with the stability estimate of the regularized solution arising in the inverse problem of option pricing this kind of inverse problems where one looks for causes for observed or desired effects are usually ill posed i e their solution is not unique or unstable with respect to data perturbations stability estimate is needed for stable solution of these ill posed problems if one cannot guarantee the stability of a solution to these problems then the problem does not make sense and there is no hope of handling them numerically it is shown here that one can achieve stability by using so called stabilizing functional suggested by tikhonov linear integral equation applied mathematical sciences springer new york 1989", "title_raw": "A stability estimate of an inverse problem in financial prospection", "abstract_raw": "In many option pricing models, there is a need to derive a stability estimate of their solutions. This paper is concerned with the stability estimate of the regularized solution arising in the inverse problem of option pricing. This kind of inverse problems, where one looks for causes for observed or desired effects, are usually ''ill-posed'', i.e., their solution is not unique or unstable with respect to data perturbations. Stability estimate is needed for stable solution of these ill-posed problems. If one cannot guarantee the stability of a solution to these problems, then the problem does not make sense and there is no hope of handling them numerically. It is shown here that one can achieve stability by using so called stabilizing functional suggested by Tikhonov [Linear Integral Equation, Applied Mathematical Sciences, Springer, New york, 1989]." }, { "paper": "2102808280", "venue": "168680287", "year": "2004", "title": "adaptive asymptotic bayesian equalization using a signal space partitioning technique", "label": [ "13670688", "2776003309", "97824396", "179799912", "126255220", "115680565", "102248274", "68693459" ], "author": [ "2722922053", "2115062560" ], "reference": [ "88258989", "1590772317", "1898627281", "1940045019", "1971052094", "2037330389", "2038085771", "2046439063", "2063541597", "2085400870", "2093609627", "2096307937", "2098369756", "2103445172", "2104893535", "2105769909", "2109610566", "2116952199", "2127221278", "2130143302", "2131086249", "2135102511", "2140392457", "2140745756", "2143747384", "2153204558", "2163382639", "2296108426", "3144557800" ], "abstract": "the bayesian solution is known to be optimal for symbol by symbol equalizers however its computational complexity is usually very high the signal space partitioning technique has been proposed to reduce complexity it was shown that the decision boundary of the equalizer consists of a set of hyperplanes the disadvantage of existing approaches is that the number of hyperplanes cannot be controlled in addition a state search process that is not efficient for time varying channels is required to find these hyperplanes in this paper we propose a new algorithm to remedy these problems we propose an approximate bayesian criterion that allows the number of hyperplanes to be arbitrarily set as a consequence a tradeoff can be made between performance and computational complexity in many cases the resulting performance loss is small whereas the computational complexity reduction can be large the proposed equalizer consists of a set of parallel linear discriminant functions and a maximum operation an adaptive method using stochastic gradient descent has been developed to identify the functions the proposed algorithm is thus inherently applicable to time varying channels the computational complexity of this adaptive algorithm is low and suitable for real world implementation", "title_raw": "Adaptive asymptotic Bayesian equalization using a signal space partitioning technique", "abstract_raw": "The Bayesian solution is known to be optimal for symbol-by-symbol equalizers; however, its computational complexity is usually very high. The signal space partitioning technique has been proposed to reduce complexity. It was shown that the decision boundary of the equalizer consists of a set of hyperplanes. The disadvantage of existing approaches is that the number of hyperplanes cannot be controlled. In addition, a state-search process, that is not efficient for time-varying channels, is required to find these hyperplanes. In this paper, we propose a new algorithm to remedy these problems. We propose an approximate Bayesian criterion that allows the number of hyperplanes to be arbitrarily set. As a consequence, a tradeoff can be made between performance and computational complexity. In many cases, the resulting performance loss is small, whereas the computational complexity reduction can be large. The proposed equalizer consists of a set of parallel linear discriminant functions and a maximum operation. An adaptive method using stochastic gradient descent has been developed to identify the functions. The proposed algorithm is thus inherently applicable to time-varying channels. The computational complexity of this adaptive algorithm is low and suitable for real-world implementation." }, { "paper": "1991598117", "venue": "70695507", "year": "2004", "title": "on the number of periodic orbits of hamiltonian systems on positive type hypersurfaces in r2n", "label": [ "114410712", "202444582", "121770821", "142805521", "2776548862", "134306372" ], "author": [ "2676604506" ], "reference": [ "1995185116", "2014496566", "2039457316", "2045305277", "2065895668", "2133553692", "2323637861", "2593613449" ], "abstract": "abstract in this paper we prove some existence theorems of multiple periodic orbits of hamiltonian systems on a class of hypersurfaces in r 2n that are more general than star shaped ones our results extend some earlier works on this subject", "title_raw": "On the number of periodic orbits of Hamiltonian systems on positive-type hypersurfaces in R2n", "abstract_raw": "Abstract In this paper we prove some existence theorems of multiple periodic orbits of Hamiltonian systems on a class of hypersurfaces in R 2n that are more general than star-shaped ones. Our results extend some earlier works on this subject." }, { "paper": "2069828495", "venue": "148709879", "year": "2004", "title": "the pressure corrected ice finite element method for compressible flows on unstructured meshes", "label": [ "21018558", "135628077", "38409319", "93779851", "2778327290", "183205605", "28826006" ], "author": [ "2170473831", "2148603894" ], "reference": [ "318115249", "601124519", "610910883", "1500705422", "1507795625", "1517076650", "1521569411", "1523480373", "1656028269", "1679745928", "1966158133", "1974966351", "1975961474", "1977821281", "1977899298", "1988243598", "2000814863", "2011030306", "2013038317", "2013796290", "2024076083", "2024444207", "2033160387", "2045969162", "2066380361", "2072043211", "2120912731", "2155216327" ], "abstract": "a new implicit continuous fluid eulerian ice scheme for simulating a wide range of transient and steady inviscid and viscous compressible flows on unstructured finite elements is presented this new computational fluid dynamics scheme termed the pressure corrected ice finite element method pcice fem represents an advancement in massmomentum coupled pressure based schemes the governing hydrodynamic equations for this scheme consist of the conservative forms of the momentum balance navier stokes mass conservation and total energy equations the pcice fem scheme is developed as a predictor corrector scheme by performing a fractional step splitting of the semi implicit temporal discretization of the governing equations into an explicit predictor phase and a semi implicit pressure correction phase coupled by a pressure poisson solution the result of this predictor corrector formulation is that the pressure poisson equation is provided with sufficient internal energy information to avoid iteration with the semi implicit pressure correction equations the pcice fem scheme combines a modified form of the two step taylor galerkin fem scheme as an explicit predictor for the fractional momentum equations and a time weighted fem method for the semi implicit form of the mass conservation and the total energy equations the pcice fem scheme employs flux corrected transport fct as a high resolution filter for shock capturing the ability of the pcice fem scheme to accurately and efficiently simulate a wide variety of flows from nearly incompressible to highly compressible is demonstrated", "title_raw": "The pressure-corrected ICE finite element method for compressible flows on unstructured meshes", "abstract_raw": "A new implicit continuous-fluid Eulerian (ICE) scheme for simulating a wide range of transient and steady, inviscid and viscous compressible flows on unstructured finite elements is presented. This new computational fluid dynamics scheme, termed the pressure-corrected ICE-finite element method (PCICE-FEM), represents an advancement in massmomentum coupled, pressure-based schemes. The governing hydrodynamic equations for this scheme consist of the conservative forms of the momentum balance (Navier-Stokes), mass conservation, and total energy equations. The PCICE-FEM scheme is developed as a predictor-corrector scheme by performing a fractional-step splitting of the semi-implicit temporal discretization of the governing equations into an explicit predictor phase and a semi-implicit pressure-correction phase coupled by a pressure Poisson solution. The result of this predictor-corrector formulation is that the pressure Poisson equation is provided with sufficient internal energy information to avoid iteration with the semi-implicit pressure-correction equations. The PCICE-FEM scheme combines a modified form of the two-step Taylor-Galerkin FEM scheme as an explicit predictor for the fractional momentum equations and a time-weighted FEM method for the semi-implicit form of the mass conservation and the total energy equations. The PCICE-FEM scheme employs flux-corrected transport (FCT) as a high-resolution filter for shock capturing. The ability of the PCICE-FEM scheme to accurately and efficiently simulate a wide variety of flows from nearly incompressible to highly compressible is demonstrated." }, { "paper": "1530504647", "venue": "85738991", "year": "2004", "title": "study of mixed order basis functions for the locally corrected nystro spl uml m method", "label": [ "111458787", "84545080", "48753275", "27016315", "134306372", "5917680" ], "author": [ "1984632527", "2171848130", "2110866751" ], "reference": [ "192303019", "315413564", "619458845", "1671991808", "1993016107", "2004862077", "2019684877", "2047598896", "2086698705", "2088318806", "2089945053", "2105852640", "2106934639", "2109101885", "2111148770", "2127205660", "2131797873", "2134199070", "2157998549", "2168001708", "3041201137" ], "abstract": "a high order locally corrected nystro spl uml m lcn method employing the mixed order basis functions proposed by c 80al spl iota s 80kan and peterson is presented for the electromagnetic scattering by targets composed of both dielectric and conducting bodies an integral operator based on a combined field formulation for conducting surfaces and a mu spl uml ller formulation for dielectric surfaces is used it is found that for general scattering objects mixed order basis functions accelerate the convergence of the lcn solution can eliminate spurious charges and can significantly reduce the condition number of the impedance matrix", "title_raw": "Study of mixed-order basis functions for the locally corrected Nystro/spl uml/m method", "abstract_raw": "A high-order locally corrected Nystro/spl uml/m (LCN) method employing the mixed-order basis functions proposed by C$80al/spl iota/s$80kan and Peterson is presented for the electromagnetic scattering by targets composed of both dielectric and conducting bodies. An integral operator based on a combined field formulation for conducting surfaces and a Mu/spl uml/ller formulation for dielectric surfaces is used. It is found that for general scattering objects, mixed-order basis functions accelerate the convergence of the LCN solution, can eliminate spurious charges, and can significantly reduce the condition number of the impedance matrix." }, { "paper": "1973440844", "venue": "90727058", "year": "2004", "title": "a proof theoretic characterization of the basic feasible functionals", "label": [ "2779844624", "144618667", "33577790", "2318724", "200632571" ], "author": [ "2298539602" ], "reference": [ "9167880", "77620528", "151251173", "636367345", "1492008767", "1498926208", "1518290936", "1523047387", "1529036462", "1533996603", "1596708455", "1763978647", "1965442792", "1966026587", "1970954854", "1980256844", "2000451268", "2001022561", "2004826968", "2032152194", "2041616904", "2069549740", "2069792094", "2075380453", "2113484588", "2114124105", "2166160002", "2313175711", "2600221731", "2798718690", "3029117793", "3205594860" ], "abstract": "we provide a natural characterization of the type two mehlhorn cook urquhart basic feasible functionals as the provably total type two functionals of our classical applicative theory pt introduced in inform comput 185 2003 263 thus providing a proof of a result claimed in the conclusion of strahm 2003 this further characterization of the basic feasible functionals underpins their importance as a key candidate for the notion of type two feasibility", "title_raw": "A proof-theoretic characterization of the basic feasible functionals", "abstract_raw": "We provide a natural characterization of the type two Mehlhorn-Cook-Urquhart basic feasible functionals as the provably total type two functionals of our (classical) applicative theory PT introduced in (Inform. Comput. 185 (2003) 263), thus providing a proof of a result claimed in the conclusion of Strahm (2003). This further characterization of the basic feasible functionals underpins their importance as a key candidate for the notion of type two feasibility." }, { "paper": "2075096667", "venue": "151579836", "year": "2004", "title": "numerical analysis of graded mesh methods for a class of second kind integral equations on the real line", "label": [ "75432250", "134306372", "184825909", "2126413", "27016315", "34388435", "118299288", "48753275", "58442840" ], "author": [ "2700981220", "2617022538" ], "reference": [ "1964615554", "1967321976", "1968287043", "1971316912", "1972976556", "1997302903", "2004720980", "2006029835", "2014208709", "2017449639", "2017737583", "2025582311", "2033331586", "2041617232", "2043026665", "2044042856", "2046601122", "2052863731", "2053018486", "2057746742", "2059034619", "2076064127", "2079178764", "2086085861", "2091429212", "2100395332", "2118316272", "2739625405", "3010259465" ], "abstract": "abstract in this paper we are concerned with the numerical analysis of the collocation method based on graded meshes of second kind integral equations on the real line of the form s s r s t z t t dt s r where l 1 r z l r and bc r the space of bounded continuous complex valued functions on r are assumed known and the function bc r is to be determined we introduce some new graded meshes for the collocation method of the integral equation which are different from those used previously for the wiener hopf integral equation in the case when the solution decays exponentially at infinity and establish optimal local and global l norm error estimates under the condition that the solution decays only polynomially at infinity", "title_raw": "Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line", "abstract_raw": "Abstract In this paper we are concerned with the numerical analysis of the collocation method based on graded meshes of second kind integral equations on the real line of the form \u03c6(s)=\u03c8(s)+ \u222b R \u03ba(s\u2212t)z(t)\u03c6(t) dt, s\u2208 R , where \u03ba\u2208L 1 ( R ) , z\u2208L \u221e ( R ) , and \u03c8\u2208BC( R ) , the space of bounded continuous complex-valued functions on R , are assumed known and the function \u03c6\u2208BC( R ) is to be determined. We introduce some new graded meshes for the collocation method of the integral equation, which are different from those used previously for the Wiener\u2013Hopf integral equation in the case when the solution decays exponentially at infinity, and establish optimal local and global L\u221e-norm error estimates under the condition that the solution decays only polynomially at infinity." }, { "paper": "2130160532", "venue": "8265502", "year": "2004", "title": "comparability of segmented line regression models", "label": [ "35519122", "152877465" ], "author": [ "2122555555", "1991328007", "2251566856", "2097354975", "1048455695" ], "reference": [ "2000586291", "2012806876", "2013392177", "2025126377", "2027293138", "2035312810", "2047837810", "2052515148", "2068903499", "2077618811", "2080558403", "2082166998", "2102201073", "2121044470", "2139481445", "2489605225", "2552942965", "3021426108" ], "abstract": "segmented line regression models which are composed of continuous linear phases have been applied to describe changes in rate trend patterns in this article we propose a procedure to compare two segmented line regression functions specifically to test i whether the two segmented line regression functions are identical or ii whether the two mean functions are parallel allowing different intercepts a general form of the test statistic is described and then the permutation procedure is proposed to estimate the p value of the test the permutation test is compared to an approximate f test in terms of the p value estimation and the performance of the permutation test is studied via simulations the tests are applied to compare female lung cancer mortality rates between two registry areas and also to compare female breast cancer mortality rates between two states", "title_raw": "Comparability of segmented line regression models", "abstract_raw": "Segmented line regression models, which are composed of continuous linear phases, have been applied to describe changes in rate trend patterns. In this article, we propose a procedure to compare two segmented line regression functions, specifically to test (i) whether the two segmented line regression functions are identical or (ii) whether the two mean functions are parallel allowing different intercepts. A general form of the test statistic is described and then the permutation procedure is proposed to estimate the p-value of the test. The permutation test is compared to an approximate F-test in terms of the p-value estimation and the performance of the permutation test is studied via simulations. The tests are applied to compare female lung cancer mortality rates between two registry areas and also to compare female breast cancer mortality rates between two states." }, { "paper": "2039464121", "venue": "185067381", "year": "2004", "title": "finite size scaling in the driven lattice gas", "label": [ "2778523118", "99844830", "196298200", "19499675", "135789939" ], "author": [ "2244751208", "1414116011", "2472304707", "2303177219" ], "reference": [ "126818163", "182450011", "568475229", "1499523917", "1515834531", "1540380506", "1546119188", "1613522205", "1662354194", "1754918392", "1826447864", "1851273594", "1963948996", "1968591997", "1981711924", "1984967700", "1991233685", "1991288542", "1991383433", "1991852592", "1993352072", "1995069515", "1999895654", "2005395954", "2007536517", "2012970759", "2033979245", "2039263963", "2039298551", "2041377358", "2055606822", "2056054783", "2065668968", "2067525388", "2068904548", "2086400930", "2094988877", "2099684314", "2124181495", "2143145941", "2148271807", "2226230262", "3026721701", "3099685837" ], "abstract": "we present a monte carlo study of the high temperature phase of the two dimensional driven lattice gas at infinite driving field we define a finite volume correlation length verify that this definition has a good infinite volume limit independent of the lattice geometry and study its finite size scaling behavior the results for the correlation length are in good agreement with the predictions based on the field theory proposed by janssen schmittmann leung and cardy the theoretical predictions for the susceptibility and the magnetization are also well verified we show that the transverse binder parameter vanishes at the critical point in all dimensions d geqslant 2 and discuss how such result should be expected in the theory of janssen et al in spite of the existence of a dangerously irrelevant operator our results confirm the gaussian nature of the transverse excitations", "title_raw": "Finite-size scaling in the driven lattice gas", "abstract_raw": "We present a Monte Carlo study of the high-temperature phase of the two-dimensional driven lattice gas at infinite driving field. We define a finite-volume correlation length, verify that this definition has a good infinite-volume limit independent of the lattice geometry, and study its finite-size-scaling behavior. The results for the correlation length are in good agreement with the predictions based on the field theory proposed by Janssen, Schmittmann, Leung, and Cardy. The theoretical predictions for the susceptibility and the magnetization are also well verified. We show that the transverse Binder parameter vanishes at the critical point in all dimensions \\(d \\geqslant 2\\) and discuss how such result should be expected in the theory of Janssen et al. in spite of the existence of a dangerously irrelevant operator. Our results confirm the Gaussian nature of the transverse excitations." }, { "paper": "2112956926", "venue": "55826652", "year": "2004", "title": "discounted multiarmed bandit problems on a collection of machines with varying speeds", "label": [ "126255220" ], "author": [ "2623842979", "2974433982" ], "reference": [ "86914669", "1986389067", "2025702744", "2031160121", "2042312241", "2071104320", "2077957803", "2104709390", "2106080422", "2118309135", "2119567691", "2140695728", "2142032013", "2315841162", "2334782222" ], "abstract": "this paper is the first to consider general multiarmed bandit problems on parallel machines working at different speeds block allocation policies make a once for all allocation of bandits to machines at time zero in this class we describe how to achieve blackwell optimality under given conditions the block allocation policy identified allocates the bandits with the largest guaranteed reward rates to the machines operating at greatest speed this policy is shown to be average reward optimal in the class of general nonanticipative nonidling policies", "title_raw": "Discounted Multiarmed Bandit Problems on a Collection of Machines with Varying Speeds", "abstract_raw": "This paper is the first to consider general multiarmed bandit problems on parallel machines working at different speeds. Block allocation policies make a once-for-all allocation of bandits to machines at time zero. In this class we describe how to achieve Blackwell optimality under given conditions. The block allocation policy identified allocates the bandits with the largest guaranteed reward rates to the machines operating at greatest speed. This policy is shown to be average-reward optimal in the class of general (nonanticipative, nonidling) policies." }, { "paper": "1965265565", "venue": "897311980", "year": "2004", "title": "modeling and control of the timoshenko beam the distributed port hamiltonian approach", "label": [ "112714845", "65244806", "190699663", "130787639", "171912257" ], "author": [ "281069847", "1123028365" ], "reference": [ "436861980", "607565330", "1497266618", "1506435686", "1524590822", "1538686203", "1547215941", "1553823556", "1573927207", "1588961930", "2001290675", "2048253740", "2102899117", "2107009686", "2130606767", "2141652679", "2141988856", "2144355672", "2615771448", "3144501209" ], "abstract": "the purpose of this paper is to show how the timoshenko beam can be fruitfully described within the framework of distributed port hamiltonian dph systems so that rather simple and elegant considerations can be drawn regarding both the modeling and control of this mechanical system after the dph model of the beam is introduced the control problem is discussed in particular it is shown how control approaches already presented in the literature can be unified and a new control methodology is presented and discussed this control methodology relies on the generalization to infinite dimensions of the concept of structural invariant casimir function and on the extension to distributed systems of the so called control by interconnection methodology in this way finite dimensional passive controllers can stabilize distributed parameter systems by shaping their total energy i e by assigning a new minimum in the desired equilibrium configuration that can be reached if a dissipative effect is introduced", "title_raw": "Modeling and Control of the Timoshenko Beam. The Distributed Port Hamiltonian Approach", "abstract_raw": "The purpose of this paper is to show how the Timoshenko beam can be fruitfully described within the framework of distributed port Hamiltonian (dpH) systems so that rather simple and elegant considerations can be drawn regarding both the modeling and control of this mechanical system. After the dpH model of the beam is introduced, the control problem is discussed. In particular, it is shown how control approaches already presented in the literature can be unified, and a new control methodology is presented and discussed. This control methodology relies on the generalization to infinite dimensions of the concept of structural invariant (Casimir function) and on the extension to distributed systems of the so-called control by interconnection methodology. In this way, finite dimensional passive controllers can stabilize distributed parameter systems by shaping their total energy, i.e., by assigning a new minimum in the desired equilibrium configuration that can be reached if a dissipative effect is introduced." }, { "paper": "2001633691", "venue": "192217950", "year": "2004", "title": "moduli spaces of holomorphic triples over compact riemann surfaces", "label": [ "75764964", "3387666", "2781228216", "45237699", "202444582", "95857938", "18556879", "134306372", "73373263", "204575570" ], "author": [ "2171160931", "2104915733", "287936128" ], "reference": [ "18808707", "116259974", "1494344267", "1515869525", "1571072992", "1599815147", "1600039069", "1758707245", "1861912176", "1978267333", "1984932325", "1989164874", "1993417984", "2002191654", "2002440519", "2004952984", "2005428019", "2030880744", "2034958095", "2050573861", "2052495071", "2060082247", "2060663265", "2076459508", "2086236428", "2116163539", "2136226659", "2147029501", "2165467393", "2317106485", "2807640532", "2963452768", "3105167869" ], "abstract": "a holomorphic triple over a compact riemann surface consists of two holomorphic vector bundles and a holomorphic map between them after fixing the topological types of the bundles and a real parameter there exist moduli spaces of stable holomorphic triples in this paper we study non emptiness irreducibility smoothness and birational descriptions of these moduli spaces for a certain range of the parameter our results have important applications to the study of the moduli space of representations of the fundamental group of the surface into unitary lie groups of indefinite signature 5 7 another application that we study in this paper is to the existence of stable bundles on the product of the surface by the complex projective line", "title_raw": "Moduli spaces of holomorphic triples over compact Riemann surfaces", "abstract_raw": "A holomorphic triple over a compact Riemann surface consists of two holomorphic vector bundles and a holomorphic map between them. After fixing the topological types of the bundles and a real parameter, there exist moduli spaces of stable holomorphic triples. In this paper we study non-emptiness, irreducibility, smoothness, and birational descriptions of these moduli spaces for a certain range of the parameter. Our results have important applications to the study of the moduli space of representations of the fundamental group of the surface into unitary Lie groups of indefinite signature ([5, 7]). Another application, that we study in this paper, is to the existence of stable bundles on the product of the surface by the complex projective line." }, { "paper": "2020404331", "venue": "50372074", "year": "2004", "title": "on the invariants of bertrand trajectory surface offsets", "label": [ "181773393", "2775953907", "48753275", "2524010" ], "author": [ "2132772351", "2747761931" ], "reference": [ "1988921950", "2000766003", "2010455397", "2016703964", "2023809113", "2028691689", "2064794237", "2068550587", "2312611605" ], "abstract": "dual characterizations of the bertrand offset surfaces are given and some results are obtained in terms of their integral invariants a new characterization of bertrand offsets of developable surfaces is given moreover some relationships between the area of projections of spherical images of bertrand offsets of trajectory ruled surfaces and their integral invariants are obtained", "title_raw": "On the invariants of Bertrand trajectory surface offsets", "abstract_raw": "Dual characterizations of the Bertrand offset-surfaces are given and some results are obtained in terms of their integral invariants. A new characterization of Bertrand offsets of developable surfaces is given. Moreover, some relationships between the area of projections of spherical images of Bertrand offsets of trajectory ruled surfaces and their integral invariants are obtained." }, { "paper": "2161457088", "venue": "184147796", "year": "2004", "title": "configurations of trivial extensions of dynkin type a n", "label": [ "144618667", "41608201", "168310172", "114460028", "142805521", "118615104", "199422724", "114614502", "50208158" ], "author": [ "2327915931", "2031854087" ], "reference": [ "180195891", "185243367", "1016140387", "1989033181", "2037224441", "2038435731", "2063412837", "2070286248", "2093890854", "2316561784" ], "abstract": "for a given trivial extensionof cartan class dn we find a combinatorial algorithm giving the configuration of zdn associated to this algorithm is stated in the theorem 6 8 and illustrated in the example 6 3 in order to do that we develop an inductive embedding technique for the auslander reiten quiver of a trivial extensionof type dn this technique uses the ordinary quiver q which is the union of oriented cycles and a well known set of relationssuch thatis the quotient path algebra kq see 1 5 and 6 giving a trivial exten sion of type dn we get a trivial extensionof type dn m 1 by inserting a cycle with m vertices in one of the so called in sertion vertices of q in section 3 we describe the embedding of into this will allow us to deduce properties offrom and since q has less cycles that q we will use this embed ding to reduce the study ofto the minimal trivial extensions which were done in section 2", "title_raw": "Configurations of trivial extensions of Dynkin type A n", "abstract_raw": "For a given trivial extensionof Cartan class Dn, we find a combinatorial algorithm giving the configuration of ZDn associated to \ufffd; this algorithm is stated in the Theorem 6.8 and illustrated in the Example 6.3. In order to do that, we develop an inductive embedding technique for the Auslander-Reiten quiver \ufffd of a trivial extensionof type Dn. This technique uses the ordinary quiver Q\ufffd, which is the union of oriented cycles, and a well known set of relationssuch thatis the quotient path algebra kQ\ufffd/ (see (1), (5) and (6)). Giving a trivial exten- sion of type DN, we get a trivial extensionof type DN+m 1 by inserting a cycle (with m vertices) in one of the so called in- sertion vertices of Q. In Section 3, we describe the embedding of into \ufffd. This will allow us to deduce properties offrom ; and since Q has less cycles that Q\ufffd, we will use this embed- ding to reduce the study ofto the minimal trivial extensions, which were done in Section 2." }, { "paper": "1711759073", "venue": "60030702", "year": "2004", "title": "small deviations of weighted fractional processes and average non linear approximation", "label": [ "134466208", "134306372", "108819105", "70567897", "62799726", "112401455", "49766605" ], "author": [ "2039244805", "2503513679" ], "reference": [ "205867712", "603748733", "1486811909", "1514210588", "1537193711", "1603924973", "1667961663", "1969530712", "1974046151", "1990393033", "2000218455", "2005767860", "2014777867", "2022658924", "2024437390", "2031753087", "2041736232", "2043680331", "2045827715", "2048950722", "2082640545", "2124743692" ], "abstract": "we investigate the small deviation problem for weighted fractional brownian motions in l q norm 1 q let b h be a fractional brownian motion with hurst index 0 h 1 if 1 r h 1 q then our main result asserts formula math provided the weight function p satisfies a condition slightly stronger than the r integrability thus we extend earlier results for brownian motion i e h 1 2 to the fractional case our basic tools are entropy estimates for fractional integration operators a non linear approximation technique for gaussian processes as well as sharp entropy estimates for l q sums of linear operators defined on a hilbert space", "title_raw": "Small deviations of weighted fractional processes and average non\u2013linear approximation", "abstract_raw": "We investigate the small deviation problem for weighted fractional Brownian motions in L q -norm, 1 < q \u2264 \u221e. Let B H be a fractional Brownian motion with Hurst index 0 < H < 1. If 1/r:= H + 1/q, then our main result asserts formula math. provided the weight function p satisfies a condition slightly stronger than the r-integrability. Thus we extend earlier results for Brownian motion, i.e. H = 1/2, to the fractional case. Our basic tools are entropy estimates for fractional integration operators, a non-linear approximation technique for Gaussian processes as well as sharp entropy estimates for l q -sums of linear operators defined on a Hilbert space." }, { "paper": "2060472812", "venue": "192217950", "year": "2004", "title": "conductors and the moduli of residual perfection", "label": [ "2779873844", "3387666", "34800285", "134306372", "200802036", "145899342", "2781025942", "65157940", "73373263" ], "author": [ "2805440477" ], "reference": [ "124305160", "128405466", "140141295", "622723035", "1600092771", "1680317468", "1973060585", "1992171261", "1998083984", "2049065247", "2067181780", "2082154430", "2095990849", "2098356337", "2120713972", "2157518690", "2312964983", "2502245797" ], "abstract": "let a be a complete discrete valuation ring with possibly imperfect residue field the purpose of this paper is to give a notion of conductor for galois representations over a which agrees with the classical artin conductor when the residue field is perfect the definition rests on two results of perhaps wider interest there is a moduli space that parametrizes the ways of modifying a so that its residue field is perfect and any galois theoretic object over a can be recovered from its pullback to the residually perfect discrete valuation ring corresponding to the generic point of this moduli space finally i show that this conductor extends the non logarithmic variant of kato s conductor to representations of rank greater than one", "title_raw": "Conductors and the moduli of residual perfection", "abstract_raw": "Let A be a complete discrete valuation ring with possibly imperfect residue field. The purpose of this paper is to give a notion of conductor for Galois representations over A which agrees with the classical Artin conductor when the residue field is perfect. The definition rests on two results of perhaps wider interest: there is a moduli space that parametrizes the ways of modifying A so that its residue field is perfect, and any Galois-theoretic object over A can be recovered from its pullback to the (residually perfect) discrete valuation ring corresponding to the generic point of this moduli space. Finally, I show that this conductor extends the non-logarithmic variant of Kato\u2019s conductor to representations of rank greater than one." }, { "paper": "2003702845", "venue": "54953690", "year": "2004", "title": "nilpotent orbits and some small unitary representations of indefinite orthogonal groups", "label": [ "2776122010", "155058155", "125565743", "2778302319", "6628132", "65096084", "51568863", "50555996", "67996461", "114614502" ], "author": [ "2716728401" ], "reference": [ "3886440", "84577069", "309720609", "572484886", "645904659", "1011023576", "1482975181", "1496351075", "1517206781", "1547592147", "1741476156", "1865876255", "1873733728", "1890960870", "1924147626", "1963600462", "1968275987", "1982319355", "1987456686", "1988779899", "1991979550", "1997320588", "2001888789", "2014970011", "2016875256", "2017206176", "2024283190", "2038167763", "2076419503", "2079519288", "2090414155", "2111661230", "2134984950", "2330548796", "2476302200", "2499382977", "2615540577", "2991699842" ], "abstract": "abstract for 2 m l 2 let g be a simply connected lie group with g 0 so 2m 2l 2m as lie algebra let g k p be the complexification of the usual cartan decomposition let k be the analytic subgroup with lie algebra k g 0 and let u g be the universal enveloping algebra of g this work examines the unitarity and k spectrum of representations in the analytic continuation of discrete series of g relating these properties to orbits in the nilpotent radical of a certain parabolic subalgebra of g the roots with respect to the usual compact cartan subalgebra are all ei ej with 1 i q l u be the parabolic subalgebra of g for which em em 1 contributes to u and the other simple roots contribute to l let l be the analytic subgroup of g with lie algebra l g 0 let l c int g l let 2 u be the sum of the roots contributing to u and let q l u be the parabolic subalgebra opposite to q the members of u p are nilpotent members of g the group l c acts on u p with finitely many orbits and the topological closure of each orbit is an irreducible algebraic variety if y is one of these varieties let r y be the dual coordinate ring of y this is a quotient of the algebra of symmetric tensors on u p that carries a fully reducible representation of l c for s z let s k 1 m l s 2 e k then s defines a one dimensional l l module c s extend this to a q l module by having u act by 0 and define n s 2 u u g q c s 2 u let n s 2 u be the unique irreducible quotient of n s 2 u the representations under study are s s n s 2 u and s s n s 2 u where s dim u k and s is the sth derived bernstein functor for s 2l 2 it is known that s s and that s is in the discrete series enright parthsarathy wallach and wolf showed for m s 2l 2 that s s and that s is still unitary the present paper shows that s is unitary for 0 s m 1 even though s s and it relates the k spectrum of the representations s to the representation of l c on a suitable r y with y depending on s use of a branching formula of d e littlewood allows one to obtain an explicit multiplicity formula for each k type in s the variety y is indispensable in the proof the chief tools involved are an idea of b gross and wallach a geometric interpretation of littlewood s theorem and some estimates of norms it is shown further that the natural invariant hermitian form on s does not make s unitary for s l c on any r y a final section of the paper treats in similar fashion the simply connected lie group with lie algebra g 0 so 2m 2l 2m 1 2 m l 2", "title_raw": "Nilpotent orbits and some small unitary representations of indefinite orthogonal groups", "abstract_raw": "Abstract For 2\u2a7dm\u2a7dl/2, let G be a simply connected Lie group with g 0 = so (2m,2l\u22122m) as Lie algebra, let g = k \u2295 p be the complexification of the usual Cartan decomposition, let K be the analytic subgroup with Lie algebra k \u2229 g 0 , and let U( g ) be the universal enveloping algebra of g . This work examines the unitarity and K spectrum of representations in the \u201canalytic continuation\u201d of discrete series of G, relating these properties to orbits in the nilpotent radical of a certain parabolic subalgebra of g . The roots with respect to the usual compact Cartan subalgebra are all \u00b1ei\u00b1ej with 1\u2a7di q = l \u2295 u be the parabolic subalgebra of g for which em\u2212em+1 contributes to u and the other simple roots contribute to l , let L be the analytic subgroup of G with Lie algebra l \u2229 g 0 , let L C = Int g ( l ) , let 2\u03b4( u ) be the sum of the roots contributing to u , and let q = l \u2295 u be the parabolic subalgebra opposite to q . The members of u \u2229 p are nilpotent members of g . The group L C acts on u \u2229 p with finitely many orbits, and the topological closure of each orbit is an irreducible algebraic variety. If Y is one of these varieties, let R(Y) be the dual coordinate ring of Y; this is a quotient of the algebra of symmetric tensors on u \u2229 p that carries a fully reducible representation of L C . For s\u2208 Z , let \u03bb s = \u2211 k=1 m (\u2212l+ s 2 )e k . Then \u03bbs defines a one-dimensional ( l ,L) module C \u03bb s . Extend this to a ( q ,L) module by having u act by 0, and define N(\u03bb s +2\u03b4( u ))=U( g )\u2297 q C \u03bb s +2\u03b4( u ) . Let N\u2032(\u03bb s +2\u03b4( u )) be the unique irreducible quotient of N(\u03bb s +2\u03b4( u )) . The representations under study are \u03c0 s =\u03a0 S (N(\u03bb s +2\u03b4( u ))) and \u03c0 s \u2032=\u03a0 S (N\u2032(\u03bb s +2\u03b4( u ))) , where S= dim ( u \u2229 k ) and \u03a0S is the Sth derived Bernstein functor. For s>2l\u22122, it is known that \u03c0s=\u03c0s\u2032 and that \u03c0s\u2032 is in the discrete series. Enright, Parthsarathy, Wallach, and Wolf showed for m\u2a7ds\u2a7d2l\u22122 that \u03c0s=\u03c0s\u2032 and that \u03c0s\u2032 is still unitary. The present paper shows that \u03c0s\u2032 is unitary for 0\u2a7ds\u2a7dm\u22121 even though \u03c0s\u2260\u03c0s\u2032, and it relates the K spectrum of the representations \u03c0s\u2032 to the representation of L C on a suitable R(Y) with Y depending on s. Use of a branching formula of D. E. Littlewood allows one to obtain an explicit multiplicity formula for each K type in \u03c0s\u2032; the variety Y is indispensable in the proof. The chief tools involved are an idea of B. Gross and Wallach, a geometric interpretation of Littlewood's theorem, and some estimates of norms. It is shown further that the natural invariant Hermitian form on \u03c0s\u2032 does not make \u03c0s\u2032 unitary for s L C on any R(Y). A final section of the paper treats in similar fashion the simply connected Lie group with Lie algebra g 0 = so (2m,2l\u22122m+1) , 2\u2a7dm\u2a7dl/2." }, { "paper": "1975298311", "venue": "159544283", "year": "2004", "title": "the weighted logarithmic matrix norm and bounds of the matrix exponential", "label": [ "4263655", "139018669", "114614502", "2778753082", "54848796", "129596341", "183357087", "195906000", "92207270" ], "author": [ "2653851972", "2685571240" ], "reference": [ "116296291", "1551112541", "1970592681", "1979146918", "2011286068", "2026769037", "2102279719", "2111041209", "2113130325", "2142396193" ], "abstract": "in this note the weighted logarithmic matrix norm is defined the weighted logarithmic matrix norm is less than or equal to 2 logarithmic matrix norm the bounds of the matrix exponential are obtained using the weighted logarithmic norm which are sharper than those based on the 2 logarithmic matrix norm numerical examples are given to illustrate the results of the note", "title_raw": "The weighted logarithmic matrix norm and bounds of the matrix exponential", "abstract_raw": "In this note the weighted logarithmic matrix norm is defined. The weighted logarithmic matrix norm is less than or equal to 2-logarithmic matrix norm. The bounds of the matrix exponential are obtained using the weighted logarithmic norm, which are sharper than those based on the 2-logarithmic matrix norm. Numerical examples are given to illustrate the results of the note." }, { "paper": "2118204568", "venue": "42080949", "year": "2004", "title": "a general projection neural network for solving monotone variational inequalities and related optimization problems", "label": [ "167964875", "2834757", "161999928", "126255220", "137836250" ], "author": [ "2150496770", "2947008211" ], "reference": [ "1516681311", "1562895369", "1568057090", "1603765807", "1864838508", "1982157348", "1985348591", "1993831841", "2037095211", "2046215454", "2061383870", "2065001413", "2076161359", "2081003516", "2097113878", "2102227134", "2106784678", "2108906687", "2116897603", "2128234186", "2128332575", "2129294782", "2135455255", "2138678417", "2150872461", "2151375450", "2156278464", "2159641394", "2162805081", "2164502827", "2787523326", "3141151088" ], "abstract": "recently a projection neural network for solving monotone variational inequalities and constrained optimization problems was developed in this paper we propose a general projection neural network for solving a wider class of variational inequalities and related optimization problems in addition to its simple structure and low complexity the proposed neural network includes existing neural networks for optimization such as the projection neural network the primal dual neural network and the dual neural network as special cases under various mild conditions the proposed general projection neural network is shown to be globally convergent globally asymptotically stable and globally exponentially stable furthermore several improved stability criteria on two special cases of the general projection neural network are obtained under weaker conditions simulation results demonstrate the effectiveness and characteristics of the proposed neural network", "title_raw": "A general projection neural network for solving monotone variational inequalities and related optimization problems", "abstract_raw": "Recently, a projection neural network for solving monotone variational inequalities and constrained optimization problems was developed. In this paper, we propose a general projection neural network for solving a wider class of variational inequalities and related optimization problems. In addition to its simple structure and low complexity, the proposed neural network includes existing neural networks for optimization, such as the projection neural network, the primal-dual neural network, and the dual neural network, as special cases. Under various mild conditions, the proposed general projection neural network is shown to be globally convergent, globally asymptotically stable, and globally exponentially stable. Furthermore, several improved stability criteria on two special cases of the general projection neural network are obtained under weaker conditions. Simulation results demonstrate the effectiveness and characteristics of the proposed neural network." }, { "paper": "2058848057", "venue": "148709879", "year": "2004", "title": "a partial differential equation approach to multidimensional extrapolation", "label": [ "109958158", "13982400", "78045399", "132459708", "101487385", "134306372", "98481405", "84629840", "64057670" ], "author": [ "2138790871" ], "reference": [ "1238092070", "1973481688", "2036156779", "2045545335", "2045618004", "2093834886", "2165734775", "2280377965", "3010292040" ], "abstract": "in this short note a general methodology for multidimensional extrapolation is presented the approach assumes a level set function exists which separates the region of known values from the region to be extrapolated it is shown that arbitrary orders of polynomial extrapolation can be formulated by simply solving a series of linear partial differential equations pdes examples of constant linear and quadratic extrapolation are given", "title_raw": "A partial differential equation approach to multidimensional extrapolation", "abstract_raw": "In this short note, a general methodology for multidimensional extrapolation is presented. The approach assumes a level set function exists which separates the region of known values from the region to be extrapolated. It is shown that arbitrary orders of polynomial extrapolation can be formulated by simply solving a series of linear partial differential equations (PDEs). Examples of constant, linear and quadratic extrapolation are given." }, { "paper": "2100452314", "venue": "165473669", "year": "2004", "title": "a weakly monotonic backward induction algorithm on finite bounded subsets of vector lattices", "label": [ "160343169", "159886148", "34388435", "72169020", "37404715", "121152540", "11413529", "106189395", "8272713" ], "author": [ "2973296182" ], "reference": [ "389907844", "1515687042", "1583742904", "1931648557", "1967843222", "1983941522", "1995503011", "2039910269", "2047689918", "2071913753", "2095098803", "2097801309", "2119567691", "2504846114", "3121267292" ], "abstract": "we present a new efficient and robust backward induction algorithm which is weakly monotonic working on bounded subsets without holes of lattices we prove all its properties give examples of applications and illustrate its behavior comparing it with the natural extension of the unidimensional algorithm presented in puterman markov decision processes discrete stochastic dynamic programming wiley new york 1994 in the sense of topkis frontiers of economic research series princeton university press princeton nj 1998 and white recent developments in markov decision processes academic press new york 1980 261 and showing also experimentally that it is much more efficient", "title_raw": "A weakly monotonic backward induction algorithm on finite bounded subsets of vector lattices", "abstract_raw": "We present a new efficient and robust backward induction algorithm, which is weakly monotonic, working on bounded subsets without holes of lattices. We prove all its properties, give examples of applications, and illustrate its behavior, comparing it with the natural extension of the unidimensional algorithm presented in Puterman (Markov Decision Processes: Discrete Stochastic Dynamic Programming, Wiley, New York, 1994), in the sense of Topkis (Frontiers of Economic Research Series, Princeton University Press, Princeton, NJ, 1998) and White (Recent Developments in Markov Decision Processes, Academic Press, New York, 1980, 261) and showing, also experimentally, that it is much more efficient." }, { "paper": "2025686534", "venue": "192650101", "year": "2004", "title": "imprecise distribution function associated to a random set", "label": [ "122123141", "56672385", "197055811", "28826006", "103784038", "123765380", "141547133", "13929819", "52627884", "118615104" ], "author": [ "2114811567", "2113078863", "2112244980" ], "reference": [ "78815206", "206343305", "560436065", "657067832", "1483175286", "1500655567", "1585041334", "1990403840", "1999697669", "2017215485", "2021244475", "2044159369", "2064975723", "2072785503", "2081200457", "2086204785", "2092553306", "2097415784", "2117079761", "2127910954", "2160209952", "2563855484", "2797204481", "2949173247" ], "abstract": "some different extensions to random sets of the most common parameters of a random variable share a common rationale a random set represents the imprecise observation of a random variable hence the generalized parameter contains the available information about the respective parameter of the imprecisely observed variable following the same principles in this paper it is proposed a new definition of the distribution function of a random set this definition is simpler in its formulation and it can be used in more general cases than previous proposals the properties of the distribution function defined here are discussed some issues about continuity convergence of the images of the distribution function monotonocity and measurability are studied it is also stated that not all the information conveyed by the random set about the original probability measure the probability measure induced by the imprecisely observed random variable is kept by its distribution function", "title_raw": "Imprecise distribution function associated to a random set", "abstract_raw": "Some different extensions to random sets of the most common parameters of a random variable share a common rationale: a random set represents the imprecise observation of a random variable, hence the generalized parameter contains the available information about the respective parameter of the imprecisely observed variable. Following the same principles, in this paper it is proposed a new definition of the distribution function of a random set. This definition is simpler in its formulation and it can be used in more general cases than previous proposals. The properties of the distribution function defined here are discussed: some issues about continuity, convergence of the images of the distribution function, monotonocity and measurability are studied. It is also stated that not all the information conveyed by the random set about the original probability measure (the probability measure induced by the imprecisely observed random variable) is kept by its distribution function." }, { "paper": "2092789971", "venue": "70695507", "year": "2004", "title": "on the existence of eventually positive solutions of fourth order quasilinear differential equations", "label": [ "78045399", "2778067643", "184825909", "134306372" ], "author": [ "2123010673", "2164301430" ], "reference": [ "1987230282", "2009007954", "2083042293" ], "abstract": "abstract the fourth order quasilinear differential equation 1 1 u 1 u q t u 1 u 0 is considered under the assumptions that 0 0 and q t is a positive continuous function on an interval a a 0 and the necessary and sufficient integral conditions for the existence of eventually positive solutions of 1 1 are established", "title_raw": "On the existence of eventually positive solutions of fourth-order quasilinear differential equations", "abstract_raw": "Abstract The fourth-order quasilinear differential equation (1.1) (|u\u2033| \u03b1\u22121 u\u2033)\u2033+q(t)|u| \u03b2\u22121 u=0 is considered under the assumptions that \u03b1>0, \u03b2>0 and q(t) is a positive continuous function on an interval [a,\u221e), a>0, and the necessary and sufficient integral conditions for the existence of eventually positive solutions of (1.1) are established." }, { "paper": "2095551793", "venue": "122441808", "year": "2004", "title": "u 1 invariant special lagrangian 3 folds i nonsingular solutions", "label": [ "42357961", "49209780", "2777021972", "202444582", "182310444", "202615002", "96442724", "12843", "204575570", "134306372" ], "author": [ "2152884424" ], "reference": [ "1558321776", "1604436244", "1669715583", "1866311589", "1980786632", "2011240874", "2033610813", "2041883807", "2061134505", "2081901763", "2116931140", "2124014661", "2131640323", "2963009736", "2963739008", "2964034969", "3187477437" ], "abstract": "abstract this is the first of three papers studying special lagrangian 3 submanifolds sl 3 folds n in c 3 invariant under the u 1 action ei z1 z2 z3 ei z1 e i z2 z3 using analytic methods let n be such a u 1 invariant sl 3 fold then z1 2 z2 2 2a on n for some a r locally n can be written as a kind of graph of functions u v r 2 r satisfying a nonlinear cauchy riemann equation depending on a so that u iv is like a holomorphic function of x iy when a is nonzero u v are always smooth and n is always nonsingular but if a 0 there may be points x 0 where u v are not differentiable which correspond to singular points of n this paper focusses on the nonsingular case when a is nonzero we prove analogues for our nonlinear cauchy riemann equation of well known results in complex analysis in particular we prove existence and uniqueness for solutions of two dirichlet problems derived from it this yields existence and uniqueness of a large class of nonsingular u 1 invariant sl 3 folds in c 3 with two kinds of boundary conditions the sequels extend these to the case a 0 study the singularities of the sl 3 folds that arise and construct special lagrangian fibrations of open sets in c 3", "title_raw": "U(1) -invariant special Lagrangian 3-folds. I. Nonsingular solutions", "abstract_raw": "Abstract This is the first of three papers studying special Lagrangian 3-submanifolds (SL 3-folds) N in C 3 invariant under the U(1)-action ei\u03b8:(z1,z2,z3)\u21a6(ei\u03b8z1,e\u2212i\u03b8z2,z3), using analytic methods. Let N be such a U(1)-invariant SL 3-fold. Then |z1|2\u2212|z2|2=2a on N for some a\u2208 R . Locally, N can be written as a kind of graph of functions u,v: R 2 \u2192 R satisfying a nonlinear Cauchy\u2013Riemann equation depending on a, so that u+iv is like a holomorphic function of x+iy. When a is nonzero, u,v are always smooth and N is always nonsingular. But if a=0, there may be points (x,0) where u,v are not differentiable, which correspond to singular points of N. This paper focusses on the nonsingular case, when a is nonzero. We prove analogues for our nonlinear Cauchy\u2013Riemann equation of well-known results in complex analysis. In particular, we prove existence and uniqueness for solutions of two Dirichlet problems derived from it. This yields existence and uniqueness of a large class of nonsingular U(1)-invariant SL 3-folds in C 3 , with two kinds of boundary conditions. The sequels extend these to the case a=0, study the singularities of the SL 3-folds that arise, and construct special Lagrangian fibrations of open sets in C 3 ." }, { "paper": "1999502602", "venue": "51360982", "year": "2004", "title": "a continuation gmres method for fast computation of nonlinear receding horizon control", "label": [ "91581856", "147060835", "78045399", "158622935", "77346573", "48753275", "157977623", "155332342", "28826006", "11413529" ], "author": [ "2161111960" ], "reference": [ "1492186721", "1568666422", "1575701986", "1607449631", "1839440842", "1978956894", "1993171261", "1995423815", "1996320572", "2008092105", "2009744395", "2051434435", "2052041654", "2054535252", "2065000345", "2115955659", "2142184759", "2143476164", "2151743019", "2172282814", "2173046769", "2186590998", "2233437624", "2321052409", "2323398511", "2527921573", "3102923851" ], "abstract": "in this paper a fast numerical algorithm for nonlinear receding horizon control is proposed the control input is updated by a differential equation to trace the solution of an associated state dependent two point boundary value problem a linear equation involved in the differential equation is solved by the generalized minimum residual method one of the krylov subspace methods with jacobians approximated by forward differences the error in the entire algorithm is analyzed and is shown to be bounded under some conditions the proposed algorithm is applied to a two link arm whose dynamics is highly nonlinear simulation results show that the proposed algorithm is faster than the conventional algorithms", "title_raw": "A continuation/GMRES method for fast computation of nonlinear receding horizon control", "abstract_raw": "In this paper, a fast numerical algorithm for nonlinear receding horizon control is proposed. The control input is updated by a differential equation to trace the solution of an associated state-dependent two-point boundary-value problem. A linear equation involved in the differential equation is solved by the generalized minimum residual method, one of the Krylov subspace methods, with Jacobians approximated by forward differences. The error in the entire algorithm is analyzed and is shown to be bounded under some conditions. The proposed algorithm is applied to a two-link arm whose dynamics is highly nonlinear. Simulation results show that the proposed algorithm is faster than the conventional algorithms." }, { "paper": "1995551864", "venue": "56603566", "year": "2004", "title": "necessary and sufficient conditions for robust identification of uncertain lti systems", "label": [ "34388435", "2778029271", "155512373", "11654742", "2777105136", "65244806" ], "author": [ "2635803367" ], "reference": [ "1486709476", "1497296287", "1534416612", "1896002532", "1965324089", "1996235018", "2001309219", "2009012799", "2011077222", "2056099894", "2058650922", "2106667069", "2142779885", "2150566466", "2167488211", "2170530399", "2173358513", "2216643973", "2913465992", "2978861416" ], "abstract": "abstract robust identification of uncertain systems arises whenever a chosen family of models does not completely describe reality in these situations the issue of unmodeled dynamics gains significance in addition to random measurement noise to deal with such mixed stochastic deterministic settings we introduce a novel notion for robust consistency which requires that the expectation with respect to noise of the worst case with respect to unmodeled dynamics identification error asymptotically approach zero it turns out that this notion leads to transparent necessary and sufficient conditions we show that robust consistency holds if and only if there is an instrument input pair capable of annihilating the residual error as well as stochastic noise an extension of this result to the well known bounded but unknown noise model shows that if we were to remove a set of lebesgue measure zero the error bound asymptotically approaches zero", "title_raw": "Necessary and sufficient conditions for robust identification of uncertain LTI systems", "abstract_raw": "Abstract Robust identification of uncertain systems arises whenever a chosen family of models does not completely describe reality. In these situations the issue of unmodeled dynamics gains significance in addition to random measurement noise. To deal with such mixed stochastic/deterministic settings we introduce a novel notion for robust consistency, which requires that the expectation (with respect to noise) of the worst-case (with respect to unmodeled dynamics) identification error asymptotically approach zero. It turns out that this notion leads to transparent necessary and sufficient conditions. We show that robust consistency holds, if and only if there is an instrument-input-pair capable of annihilating the residual error as well as stochastic noise. An extension of this result to the well-known \u201cbounded but unknown\u201d noise model shows that if we were to remove a set of Lebesgue measure zero, the error bound asymptotically approaches zero." }, { "paper": "1987188198", "venue": "24688465", "year": "2004", "title": "quartic normal forms for the periodic nonlinear schrodinger equation with dispersion management", "label": [ "12362212", "158622935", "83774755", "2777059694", "63036615", "123832482", "130432447", "134306372" ], "author": [ "2810125908" ], "reference": [ "155380546", "594166105", "640325155", "1628909031", "1667575880", "1971586593", "1978388965", "1988244564", "1991460757", "1993450095", "1993615578", "2006172238", "2011593636", "2014067528", "2042820187", "2043334970", "2054040604", "2075926279", "2088950270", "2094085399", "2112201696", "2118523190", "2134170305", "2152673444", "2170857506" ], "abstract": "we investigate birkhoff normal forms for the periodic nonlinear schrodinger equation with dispersion management the normalization we describe is related to averaging arguments considered in the literature and has the advantage of producing fewer resonant couplings between high spatial frequency modes one consequence is that the normal form equations have invariant subspaces of large but finite dimension where we can find several classes of periodic orbits the formal arguments apply to other related dispersive systems and to normal forms of high order we also present a rigorous version of the normal form calculation and show that solutions of the quartic normal form equations remain close to solutions of the full system over a time that is inversely proportional to a small nonlinearity parameter", "title_raw": "Quartic normal forms for the periodic nonlinear Schr\u00f6dinger equation with dispersion management", "abstract_raw": "We investigate Birkhoff normal forms for the periodic nonlinear Schrodinger equation with dispersion management. The normalization we describe is related to averaging arguments considered in the literature, and has the advantage of producing fewer resonant couplings between high spatial frequency modes. One consequence is that the normal form equations have invariant subspaces of large but finite dimension, where we can find several classes of periodic orbits. The formal arguments apply to other related dispersive systems, and to normal forms of high order. We also present a rigorous version of the normal form calculation and show that solutions of the quartic normal form equations remain close to solutions of the full system over a time that is inversely proportional to a small nonlinearity parameter." }, { "paper": "2024935831", "venue": "62223294", "year": "2004", "title": "on the integer solutions of quadratic equations", "label": [ "65148998", "21440807", "166437778", "19875773", "28826006", "12817185", "80695182", "126949999", "147700949" ], "author": [ "588073757", "2150704220" ], "reference": [ "1553142094", "1596713208", "1979558683", "1991582829", "2087583474", "2162782522", "2317797899", "3175367423" ], "abstract": "", "title_raw": "On the integer solutions of quadratic equations", "abstract_raw": "" }, { "paper": "2076004455", "venue": "35412551", "year": "2004", "title": "scale free trees the skeletons of complex networks", "label": [ "130199350", "53811970", "34947359", "117045392", "13743678", "137753397", "11804174", "114614502", "64331007" ], "author": [ "2311043067", "2157402467", "2105916845" ], "reference": [], "abstract": "we investigate the properties of the spanning trees of various real world and model networks the spanning tree representing the communication kernel of the original network is determined by maximizing the total weight of the edges whose weights are given by the edge betweenness centralities we find that a scale free tree and shortcuts organize a complex network especially in ubiquitous scale free networks it is found that the scale free spanning tree shows very robust betweenness centrality distributions and the remaining shortcuts characterize the properties of the original network such as the clustering coefficient and the classification of scale free networks by the betweenness centrality distribution", "title_raw": "Scale-free trees: the skeletons of complex networks.", "abstract_raw": "We investigate the properties of the spanning trees of various real-world and model networks. The spanning tree representing the communication kernel of the original network is determined by maximizing the total weight of the edges, whose weights are given by the edge betweenness centralities. We find that a scale-free tree and shortcuts organize a complex network. Especially, in ubiquitous scale-free networks, it is found that the scale-free spanning tree shows very robust betweenness centrality distributions and the remaining shortcuts characterize the properties of the original network, such as the clustering coefficient and the classification of scale-free networks by the betweenness centrality distribution." }, { "paper": "1970686032", "venue": "11296630", "year": "2004", "title": "measurements and simulations of an asymmetric finite amplitude ultrasonic field", "label": [ "159737794" ], "author": [ "2304290437", "2302996953", "2131501510" ], "reference": [], "abstract": "transducer arrays used routinely for medical imaging generate diffracting finite amplitude ultrasonic fields that are typically asymmetric and intricate the goal of this work is to validate a burgers equation enhanced nonlinear angular spectrum simulation approach with experimental measurements of an asymmetric finite amplitude ultrasonic field a one dimensional transducer array with a 3 2 aspect ratio separate azimuth and elevation foci and a nonuniform aperture apodization was immersed in a watertank and was driven by a broadband pulse a 0 6 mm diam hydrophone receiver was mechanically scanned to obtain detailed maps of the harmonic content and spatial distribution of the finite amplitude ultrasonic field in nine transverse 00 to 160 mm evenly spaced and two orthogonal meridian plane cross sections the fundamenal 2 3 mhz component of the field measured at face of the source served as input for the numerical simulation written in matlab and run on a notebook computer comparisons were per", "title_raw": "Measurements and simulations of an asymmetric finite amplitude ultrasonic field", "abstract_raw": "Transducer arrays used routinely for medical imaging generate diffracting finite amplitude ultrasonic fields that are typically asymmetric and intricate. The goal of this work is to validate a Burgers equation enhanced, nonlinear angular spectrum simulation approach with experimental measurements of an asymmetric finite amplitude ultrasonic field. A one\u2010dimensional transducer array with a 3:2 aspect ratio, separate azimuth and elevation foci, and a nonuniform aperture apodization was immersed in a watertank and was driven by a broadband pulse. A 0.6\u2010mm\u2010diam hydrophone receiver was mechanically scanned to obtain detailed maps of the harmonic content and spatial distribution of the finite amplitude ultrasonic field in nine transverse (00 to 160 mm, evenly spaced) and two orthogonal meridian plane cross sections. The fundamenal (2.3 MHz) component of the field, measured at face of the source, served as input for the numerical simulation (written in MATLAB and run on a notebook computer). Comparisons were per..." }, { "paper": "2129840472", "venue": "61604500", "year": "2004", "title": "towards a dynamical theory of multifractals in turbulence", "label": [ "79379906", "134306372" ], "author": [ "2030570783", "1776830359" ], "reference": [ "1542663621", "1967406316", "1981868363", "1991174605", "1992622487", "2000675878", "2009913845", "2031552355", "2033186109", "2038686029", "2050831540", "2051439502", "2058327683", "2067085312", "2070553747", "2070847814", "2074146833", "2086893123", "2088322025", "2102901030", "2160456359", "3098450094" ], "abstract": "abstract making use of the exact equations for structure functions supplemented by the equations for dissipative anomaly as well as an estimate for the lagrangian acceleration of fluid particles we obtain a main result of the multifractal theory of turbulence the central element of the theory is a dissipation cut off that depends on the order of the structure function an expression obtained for the exponents s n in the scaling relations u x n u x 2 n 2 re s n between the velocity gradients u x and the reynolds number re agrees well with experimental data", "title_raw": "Towards a dynamical theory of multifractals in turbulence", "abstract_raw": "Abstract Making use of the exact equations for structure functions, supplemented by the equations for dissipative anomaly as well as an estimate for the Lagrangian acceleration of fluid particles, we obtain a main result of the multifractal theory of turbulence. The central element of the theory is a dissipation cut-off that depends on the order of the structure function. An expression obtained for the exponents s n in the scaling relations \u2202 u \u2202 x n \u00af \u2202 u \u2202 x 2 n / 2 \u00af \u221d Re s n , between the velocity gradients \u2202 u / \u2202 x and the Reynolds number Re, agrees well with experimental data." }, { "paper": "2043534154", "venue": "35412551", "year": "2004", "title": "random matrix theory analysis of cross correlations in financial markets", "label": [ "2777926652", "149782125", "125112378", "64812099", "158693339" ], "author": [ "1736374786", "2129486984", "2463298273" ], "reference": [ "2085317472" ], "abstract": "we confirm universal behaviors such as eigenvalue distribution and spacings predicted by random matrix theory rmt for the cross correlation matrix of the daily stock prices of tokyo stock exchange from 1993 to 2001 which have been reported for new york stock exchange in previous studies it is shown that the random part of the eigenvalue distribution of the cross correlation matrix is stable even when deterministic correlations are present some deviations in the small eigenvalue statistics outside the bounds of the universality class of rmt are not completely explained with the deterministic correlations as proposed in previous studies we study the effect of randomness on deterministic correlations and find that randomness causes a repulsion between deterministic eigenvalues and the random eigenvalues this is interpreted as a reminiscent of level repulsion in rmt and explains some deviations from the previous studies observed in the market data we also study correlated groups of issues in these markets and propose a refined method to identify correlated groups based on rmt some characteristic differences between properties of tokyo stock exchange and new york stock exchange are found", "title_raw": "Random matrix theory analysis of cross correlations in financial markets.", "abstract_raw": "We confirm universal behaviors such as eigenvalue distribution and spacings predicted by random matrix theory (RMT) for the cross correlation matrix of the daily stock prices of Tokyo Stock Exchange from 1993 to 2001, which have been reported for New York Stock Exchange in previous studies. It is shown that the random part of the eigenvalue distribution of the cross correlation matrix is stable even when deterministic correlations are present. Some deviations in the small eigenvalue statistics outside the bounds of the universality class of RMT are not completely explained with the deterministic correlations as proposed in previous studies. We study the effect of randomness on deterministic correlations and find that randomness causes a repulsion between deterministic eigenvalues and the random eigenvalues. This is interpreted as a reminiscent of \"level repulsion\" in RMT and explains some deviations from the previous studies observed in the market data. We also study correlated groups of issues in these markets and propose a refined method to identify correlated groups based on RMT. Some characteristic differences between properties of Tokyo Stock Exchange and New York Stock Exchange are found." }, { "paper": "2150255189", "venue": "98347115", "year": "2004", "title": "propagation of singularities for the wave equation on conic manifolds", "label": [ "165700671", "42045870", "178207025", "108598597", "182310444", "62354387", "59696629", "134306372", "99730327" ], "author": [ "2054046784", "2149199246" ], "reference": [ "30529494", "139104963", "314207671", "1482020180", "1489389795", "1532154335", "1553731507", "1683690339", "1975559678", "2000339142", "2003463055", "2016716371", "2017754054", "2025203921", "2032439467", "2040607427", "2075760912", "2076846927", "2076996112", "2121579066", "2132549547", "2670322170", "2943046378" ], "abstract": "for the wave equation associated to the laplacian on a compact manifold with boundary with a conic metric with respect to which the boundary is metrically a point the propagation of singularities through the boundary is analyzed under appropriate regularity assumptions the diffracted non direct wave produced by the boundary is shown to have sobolev regularity greater than the incoming wave", "title_raw": "Propagation of singularities for the wave equation on conic manifolds", "abstract_raw": "For the wave equation associated to the Laplacian on a compact manifold with boundary with a conic metric (with respect to which the boundary is metrically a point) the propagation of singularities through the boundary is analyzed. Under appropriate regularity assumptions the diffracted, non-direct, wave produced by the boundary is shown to have Sobolev regularity greater than the incoming wave." }, { "paper": "1928574816", "venue": "204847658", "year": "2004", "title": "mass balance errors when solving the convective form of the transport equation in transient flow problems", "label": [ "38349280", "136566228", "126255220", "17456955", "134306372", "48753275" ], "author": [ "2310489003", "2128188016", "1870725412" ], "reference": [ "135873162", "615592791", "1513082286", "1980787167", "1986678633", "2020722045", "2031441801", "2035176073", "2042557066", "2043273616", "2044019353", "2055854652", "2064717038", "2068446521", "2076158447", "2076444245", "2084258202", "2086265740", "2090818177", "2092823186", "2099370652", "2106498525", "2148421857", "2155384629" ], "abstract": "1 the original divergence form of the solute transport equation expresses the mass balance of solutes in groundwater the alternative convective form can be obtained by subtracting the flow equation multiplied by concentration from the original form many investigators prefer the latter because it facilitates the use of lagrangian or mixed eulerian lagrangian numerical methods for solution however it performs very poorly in transient contaminant transport problems with large temporal variations in water content we propose an alternative to overcome this difficulty it consists of evaluating the water content at time level k 1 if concentration in the convective term is evaluated at time level k for this reason we have called it reverse time weighting whereas we call an evaluation of the water content at time level k straight time weighting we show that reverse time weighting improves significantly over straight time weighting not only in terms of mass balance errors but also in terms of concentration errors", "title_raw": "Mass balance errors when solving the convective form of the transport equation in transient flow problems", "abstract_raw": "[1]\u00a0The original (divergence) form of the solute transport equation expresses the mass balance of solutes in groundwater. The alternative (convective) form can be obtained by subtracting the flow equation, multiplied by concentration, from the original form. Many investigators prefer the latter because it facilitates the use of Lagrangian or mixed Eulerian-Lagrangian numerical methods for solution. However, it performs very poorly in transient contaminant transport problems with large temporal variations in water content. We propose an alternative to overcome this difficulty. It consists of evaluating the water content at time level k + 1 \u2212 \u03b7 if concentration in the convective term is evaluated at time level k + \u03b7. For this reason we have called it reverse time weighting, whereas we call an evaluation of the water content at time level k + \u03b7 straight time weighting. We show that reverse time weighting improves significantly over straight time weighting not only in terms of mass balance errors, but also in terms of concentration errors." }, { "paper": "2090928056", "venue": "184147796", "year": "2004", "title": "a note on some factorized groups", "label": [ "124535231", "202444582", "111746570", "160826032" ], "author": [ "2183345475" ], "reference": [ "361205317", "605815428", "1492663289", "1964576096", "1989876890", "2126143600", "2589060048", "3139584760" ], "abstract": "", "title_raw": "A note on some factorized groups", "abstract_raw": "" }, { "paper": "1582023446", "venue": "23326474", "year": "2004", "title": "volume inequalities for subspaces of l p", "label": [ "2778583582", "70266181", "122637931", "134306372", "12362212", "2777021972", "114614502", "140142295" ], "author": [ "705815186", "2155441287", "2148562933" ], "reference": [ "1527378096", "1529985333", "1543217262", "1559046372", "1571966798", "1970691460", "1984532327", "1984676740", "1999146895", "2006898107", "2025475361", "2028712970", "2037726123", "2052546116", "2065514134", "2065531332", "2079495504", "2089549495", "2097669873", "2384089235", "2573857826", "2594417147" ], "abstract": "", "title_raw": "Volume Inequalities for Subspaces of L p", "abstract_raw": "" }, { "paper": "2029843984", "venue": "159544283", "year": "2004", "title": "extreme rays and faces for the cone of class functions non negative on the set of gram matrices", "label": [ "94940", "128622974", "114614502", "125565743", "9260844", "4263655", "58442840", "2780990831", "62168872", "49712288" ], "author": [ "2754274786" ], "reference": [ "382810004", "1965239083", "1979001813", "1986489868", "2000588339", "2008285446", "2012742289", "2026709971", "2042298247", "2064098553", "2070207882", "2070365681", "2094591325", "2127917031", "2135823013", "2139930686", "2150241793", "2317951974", "2495029002", "2503354009", "3093281440" ], "abstract": "abstract if f is a c valued function with domain s m the symmetric group on 1 2 m then the matrix function f or df is defined by f a f t 1mat t for all m m complex matrices a aij we consider the cone kmcl whose elements are the hermitian class functions f s m c such that f a 0 for each a h m where h m denotes the set of all m m positive semi definite hermitian matrices the extreme rays of kclm are fundamental to an understanding of the linear inequalities that result by restricting the various f to the sets h m in particular the resolution of the permanent dominance conjecture for immanants and certain related conjectures such as the conjectures of lieb and soules will likely involve identification and analysis of these rays barrett hall and loewy gave a complete list of the extreme rays of kclm when m 4 and have shown that k5cl is not polyhedral given positive integers n and p such that n p and n p m we let kcln p denote the subcone of kmcl consisting of all f kclm such that f is expressible as a linear combination of the irreducible characters of s m associated with partitions of the form 2i 1m 2i where 0 i n we show that kcln p is an extreme polyhedral subcone or face of kclm and give explicit formulas for each of its n 1 extreme rays thus kmcl has non trivial polyhedral faces for all m", "title_raw": "Extreme rays and faces for the cone of class functions non-negative on the set of Gram matrices", "abstract_raw": "Abstract If f is a C -valued function with domain S m , the symmetric group on {1,2,\u2026,m}, then the matrix function [f](\u00b7), or df(\u00b7), is defined by [f](A)=\u2211\u03c3f(\u03c3)\u220ft=1mat,\u03c3(t) for all m\u00d7m complex matrices A=[aij]. We consider the cone Kmcl whose elements are the Hermitian class functions f: S m \u2192 C such that [f](A)\u2a7e0 for each A\u2208 H m , where H m denotes the set of all m\u00d7m positive semi-definite Hermitian matrices. The extreme rays of Kclm are fundamental to an understanding of the linear inequalities that result by restricting the various [f](\u00b7) to the sets H m . In particular, the resolution of the permanent dominance conjecture for immanants and certain related conjectures such as the conjectures of Lieb and Soules will likely involve identification and analysis of these rays. Barrett, Hall, and Loewy gave a complete list of the extreme rays of Kclm when m\u2a7d4, and have shown that K5cl is not polyhedral. Given positive integers n and p such that n\u2a7dp and n+p=m, we let Kcln,p denote the subcone of Kmcl consisting of all f\u2208Kclm such that f is expressible as a linear combination of the irreducible characters of S m associated with partitions of the form (2i,1m\u22122i) where 0\u2a7di\u2a7dn. We show that Kcln,p is an extreme polyhedral subcone, or face, of Kclm, and give explicit formulas for each of its n+1 extreme rays. Thus, Kmcl has non-trivial polyhedral faces for all m." }, { "paper": "1761171396", "venue": "35412551", "year": "2004", "title": "statistical mechanics of networks", "label": [ "118615104", "2777127463", "125612416" ], "author": [ "2646458815", "2394749673" ], "reference": [ "69499906", "1491220938", "1498800329", "1573937741", "1627599966", "1953975752", "1970894083", "1981589225", "1993744672", "1995052256", "2002810579", "2006820723", "2008620264", "2012796346", "2015652921", "2019258379", "2032516423", "2032831962", "2036140059", "2040906888", "2053248591", "2062215476", "2063499431", "2069412834", "2074816168", "2076146891", "2076844992", "2078578908", "2079634261", "2093033099", "2095293504", "2112090702", "2112976607", "2114220616", "2117071406", "2124637492", "2136931666", "2148606196", "2151616455", "2164727176", "2331931091", "2997134027", "3049188988", "3099771049" ], "abstract": "we study the family of network models derived by requiring the expected properties of a graph ensemble to match a given set of measurements of a real world network while maximizing the entropy of the ensemble models of this type play the same role in the study of networks as is played by the boltzmann distribution in classical statistical mechanics they offer the best prediction of network properties subject to the constraints imposed by a given set of observations we give exact solutions of models within this class that incorporate arbitrary degree distributions and arbitrary but independent edge probabilities we also discuss some more complex examples with correlated edges that can be solved approximately or exactly by adapting various familiar methods including mean field theory perturbation theory and saddle point expansions", "title_raw": "Statistical mechanics of networks.", "abstract_raw": "We study the family of network models derived by requiring the expected properties of a graph ensemble to match a given set of measurements of a real-world network, while maximizing the entropy of the ensemble. Models of this type play the same role in the study of networks as is played by the Boltzmann distribution in classical statistical mechanics; they offer the best prediction of network properties subject to the constraints imposed by a given set of observations. We give exact solutions of models within this class that incorporate arbitrary degree distributions and arbitrary but independent edge probabilities. We also discuss some more complex examples with correlated edges that can be solved approximately or exactly by adapting various familiar methods, including mean-field theory, perturbation theory, and saddle-point expansions." }, { "paper": "1688628428", "venue": "204847658", "year": "2004", "title": "first order variance of travel time in nonstationary formations", "label": [ "28826006", "126255220", "2779722798", "137250428", "123614077", "137127113", "178650346", "99844830", "73000952" ], "author": [ "2164542428", "2183047374" ], "reference": [ "249716461", "1507209783", "1968092651", "1968750434", "1969669958", "1976992926", "1981745143", "1986167452", "1988424991", "2000878784", "2008134784", "2019133853", "2019797282", "2028405239", "2052254512", "2069095910", "2073897969", "2075626434", "2078714116", "2079559649", "2082893249", "2086609582", "2103925980", "2122153187", "2148136715", "2148147555" ], "abstract": "1 evaluating uncertainty in solute transport under nonstationary flow conditions is a computationally demanding task this is particularly true for cases with a two point covariance function of log conductivity depending on the actual positions of the points rather than their distance vector these may occur when the geological formation exhibits a trend nonstationarity can also be the result of uncertainty in the trend parameters of the mean log conductivity value or it may originate from conditioning of the log conductivity field to measurements of for example head or conductivity we present an efficient numerical method for evaluating the variance of travel time in such formations we cover cases in which the nonstationary covariance functions are constructed from stationary counterparts either by scaling functions or by summation with nonstationary functions resulting from marginalization or conditioning we apply a matrix based first order second moment fosm method for uncertainty propagation using the continuous adjoint state method for coupled systems to evaluate the sensitivity matrix the resulting matrix matrix multiplications are accelerated by fast fourier transformation fft techniques after periodic embedding of the covariance matrices referring to the stationary counterparts the combination of these methods makes it possible to compute the travel time uncertainty in domains discretized by several hundred thousand log conductivity values on standard personal computers within a reasonable time frame for demonstration we apply the method to a binary medium and a medium exhibiting a continuous trend in the covariance function in the latter application we also demonstrate the effects of marginalization and conditioning", "title_raw": "First\u2010order variance of travel time in nonstationary formations", "abstract_raw": "[1]\u00a0Evaluating uncertainty in solute transport under nonstationary flow conditions is a computationally demanding task. This is particularly true for cases with a two-point covariance function of log conductivity depending on the actual positions of the points rather than their distance vector. These may occur when the geological formation exhibits a trend. Nonstationarity can also be the result of uncertainty in the trend parameters of the mean log conductivity value, or it may originate from conditioning of the log conductivity field to measurements of, for example, head or conductivity. We present an efficient numerical method for evaluating the variance of travel time in such formations. We cover cases in which the nonstationary covariance functions are constructed from stationary counterparts, either by scaling functions or by summation with nonstationary functions resulting from marginalization or conditioning. We apply a matrix-based first-order second-moment (FOSM) method for uncertainty propagation, using the continuous adjoint-state method for coupled systems to evaluate the sensitivity matrix. The resulting matrix-matrix multiplications are accelerated by fast Fourier transformation (FFT) techniques after periodic embedding of the covariance matrices referring to the stationary counterparts. The combination of these methods makes it possible to compute the travel time uncertainty in domains discretized by several hundred thousand log conductivity values on standard personal computers within a reasonable time-frame. For demonstration, we apply the method to a binary medium and a medium exhibiting a continuous trend in the covariance function. In the latter application we also demonstrate the effects of marginalization and conditioning." }, { "paper": "2036168669", "venue": "159544283", "year": "2004", "title": "the linear interpolation problem for totally positive matrices", "label": [ "114614502", "171836373", "75078992", "139676723", "49712288", "2779582678" ], "author": [ "2207345080", "2127037054" ], "reference": [ "1482836887", "1985704723", "2094302535" ], "abstract": "abstract it is shown that for two real vectors x y there is a totally positive matrix a such that ax y if and only if a certain refinement of a classical sign variation diminishing relationship between x and y is satisfied", "title_raw": "The linear interpolation problem for totally positive matrices", "abstract_raw": "Abstract It is shown that for two real vectors x , y there is a totally positive matrix A such that Ax = y if and only if a certain refinement of a classical (sign) variation diminishing relationship between x and y is satisfied." }, { "paper": "2087735095", "venue": "165473669", "year": "2004", "title": "multiplicity of sturm liouville eigenvalues", "label": [ "156004811", "134306372", "158693339", "16171025", "22892174", "182310444" ], "author": [ "1988240791", "2821628324", "2016052599" ], "reference": [ "107024169", "125792931", "180215164", "589632285", "1489216560", "1504998454", "1582746752", "1984265654", "2006208715", "2006937827", "2017295671", "2030409957", "2050317121", "2054473473", "2057928114", "2074865746", "2078753268", "2086656018", "2097798321", "2140843421", "2162278946", "2944007537", "2983953036" ], "abstract": "the geometric multiplicity of each eigenvalue of a self adjoint sturm liouville problem is equal to its algebraic multiplicity this is true for regular problems and for singular problems with limit circle endpoints including the case when the leading coefficient changes sign", "title_raw": "Multiplicity of Sturm-Liouville eigenvalues", "abstract_raw": "The geometric multiplicity of each eigenvalue of a self-adjoint Sturm-Liouville problem is equal to its algebraic multiplicity. This is true for regular problems and for singular problems with limit-circle endpoints, including the case when the leading coefficient changes sign." }, { "paper": "2031165344", "venue": "184147796", "year": "2004", "title": "star operations and pullbacks", "label": [ "144618667", "142907516", "118615104", "4042151", "119238805", "2777859746", "2777680557" ], "author": [ "2305681242", "2233499491" ], "reference": [ "167648509", "203901634", "562685092", "573152436", "586848920", "637220922", "1267258532", "1551345846", "1558876846", "1965572375", "1966544537", "1970220934", "1976047731", "1977647353", "1991460957", "1994405343", "1998887356", "2007163192", "2015817329", "2020236155", "2032243718", "2042638261", "2046369588", "2056337861", "2056702271", "2059805326", "2065474489", "2069234846", "2078429049", "2080584399", "2088363403", "2090552597", "2094800560", "2095522817", "2103386457", "2125088730", "2155782278", "2236631918", "2315741703", "2625824631", "2751273709" ], "abstract": "abstract in this paper we study the star operations on a pullback of integral domains in particular we characterize the star operations of a domain arising from a pullback of a general type by introducing new techniques for projecting and lifting star operations under surjective homomorphisms of integral domains we study the transfer in a pullback or with respect to a surjective homomorphism of some relevant classes or distinguished properties of star operations such as v t w b d finite type e a b stable and spectral operations we apply part of the theory developed here to give a complete positive answer to a problem posed by d f anderson in 1992 concerning the star operations on the d m constructions", "title_raw": "Star operations and pullbacks", "abstract_raw": "Abstract In this paper we study the star operations on a pullback of integral domains. In particular, we characterize the star operations of a domain arising from a pullback of \u201ca general type\u201d by introducing new techniques for \u201cprojecting\u201d and \u201clifting\u201d star operations under surjective homomorphisms of integral domains. We study the transfer in a pullback (or with respect to a surjective homomorphism) of some relevant classes or distinguished properties of star operations such as v\u2212, t\u2212, w\u2212, b\u2212, d\u2212, finite type, e.a.b., stable, and spectral operations. We apply part of the theory developed here to give a complete positive answer to a problem posed by D.F.\u00a0Anderson in 1992 concerning the star operations on the \u201cD+M\u201d constructions." }, { "paper": "2071003850", "venue": "73535193", "year": "2004", "title": "extended gdq and related discrete element analysis methods for transient analyses of continuum mechanics problems", "label": [ "135628077", "73000952", "96314035", "134306372" ], "author": [ "2099183817" ], "reference": [ "1627499747", "1977423049", "1997731629", "2028786808", "2071427916", "2343942099" ], "abstract": "abstract the extended gdq proposed by the author is used to develop solution algorithms for solving the discrete transient equation system of a continuum mechanics problem it is a direct integration approach two integration methods are developed they are time element by time element method and stages by stages method these two time integration algorithms can be used to solve a generic discrete transient equation system of an originally discrete system or a discrete system resulting from the discretization of a transient system of continuum mechanics problems by using a certain discretization technique such as the dqem fem fdm etc", "title_raw": "Extended GDQ and related discrete element analysis methods for transient analyses of continuum mechanics problems", "abstract_raw": "Abstract The extended GDQ proposed by the author is used to develop solution algorithms for solving the discrete transient equation system of a continuum mechanics problem. It is a direct integration approach. Two integration methods are developed. They are time-element by time-element method and stages by stages method. These two time integration algorithms can be used to solve a generic discrete transient equation system of an originally discrete system or a discrete system resulting from the discretization of a transient system of continuum mechanics problems by using a certain discretization technique such as the DQEM, FEM, FDM, etc." }, { "paper": "2054370272", "venue": "3006183880", "year": "2004", "title": "an existence result on positive solutions for a class of semilinear elliptic systems", "label": [ "72169020", "142805521", "36503486", "34388435", "202444582", "139676723" ], "author": [ "2936063440", "1969601063" ], "reference": [ "139510221", "1973359775", "2054563910", "2094732357", "2271445086" ], "abstract": "consider the system where is a positive parameter and is a bounded domain in r n we prove the existence of a large positive solution for large when lim x f mg x x 0 for every m 0 in particular we do not need any monotonicity assumptions on f g nor any sign conditions on f 0 g 0", "title_raw": "An existence result on positive solutions for a class of semilinear elliptic systems", "abstract_raw": "Consider the system\n where \u03bb is a positive parameter and \u03a9 is a bounded domain in R N . We prove the existence of a large positive solution for \u03bb large when lim x \u2192 \u221e ( f ( Mg ( x ))/ x ) = 0 for every M > 0. In particular, we do not need any monotonicity assumptions on f, g, nor any sign conditions on f (0), g (0)." }, { "paper": "1983839767", "venue": "168680287", "year": "2004", "title": "signal detection for mimo isi channels an iterative greedy improvement approach", "label": [ "179799912", "126221529", "51823790", "9810830", "126255220", "83204339", "125583679", "97812054", "159694833" ], "author": [ "3169986447", "2305051311" ], "reference": [ "1974858474", "1997002146", "2011396057", "2049633694", "2059786462", "2082422319", "2090589668", "2106929598", "2107757493", "2107844468", "2119946711", "2127360434", "2131086249", "2133475491", "2140940105", "2152564327", "2167363386", "2167619382" ], "abstract": "in this paper we consider the signal detection for multiple input multiple output intersymbol interference mimo isi channels with diverse assumptions on the channel knowledge perfect blind trained etc this general problem is cast into a unifying bayesian statistics framework with this formulation the optimal detector is the one maximizing the posterior signal density marginal maximum a posteriori map since the marginal map is hard to deal with a joint map formulation is proposed as a reasonable substitute that maximizes the posterior joint signal and channel density it is also shown that for independent and identically distributed i i d signals the two formulations will lead to very close results the joint map formulation leads to an iterative projection algorithm that alternates between the optimization over channel parameters and signaling matrices the bottleneck of iterative projections is on the finite alphabet constrained quadratic minimization we show that the notion of error decomposition can be bridged with greedy optimizations to construct iterative greedy search algorithms and examine their performance a particularization called full greedy search is shown to be able to reach the global optimum maximum likelihood solutions starting with any initialization since potential constraints in computational complexity may prohibit the application of this version of greedy search we explore the performance loss for greedy search implementations with complexity constraints arriving at deterministic performance bounds and a bit error rate ber upper bound the effect of model imprecision is also theoretically characterized based on the theoretical development an iterative local optimization with interference cancellation loic algorithm is proposed to achieve low complexity and exploit the finite alphabet constraint motivated by the sylvester structure it approximates the full greedy search by focusing on local error sequences it can also be regarded as a flexible interference cancellation strategy with noncausal information and iterative computations an empirical comparison of detectors with perfect channel knowledge demonstrated that the proposed loic algorithms can offer very attractive ber complexity tradeoffs", "title_raw": "Signal detection for MIMO-ISI channels: an iterative greedy improvement approach", "abstract_raw": "In this paper, we consider the signal detection for multiple input-multiple output intersymbol interference (MIMO-ISI) channels with diverse assumptions on the channel knowledge: perfect, blind, trained, etc. This general problem is cast into a unifying Bayesian statistics framework. With this formulation, the optimal detector is the one maximizing the posterior signal density [marginal maximum a posteriori (MAP)]. Since the marginal MAP is hard to deal with, a joint MAP formulation is proposed as a reasonable substitute that maximizes the posterior joint signal and channel density. It is also shown that for independent and identically distributed (i.i.d.) signals, the two formulations will lead to very close results. The joint MAP formulation leads to an iterative projection algorithm that alternates between the optimization over channel parameters and signaling matrices. The bottleneck of iterative projections is on the finite-alphabet constrained quadratic minimization. We show that the notion of error decomposition can be bridged with greedy optimizations to construct iterative greedy search algorithms and examine their performance. A particularization, called full greedy search, is shown to be able to reach the global optimum (maximum likelihood solutions) starting with any initialization. Since potential constraints in computational complexity may prohibit the application of this version of greedy search, we explore the performance (loss) for greedy search implementations with complexity constraints, arriving at deterministic performance bounds and a bit-error rate (BER) upper bound. The effect of model imprecision is also theoretically characterized. Based on the theoretical development, an iterative local optimization with interference cancellation (LOIC) algorithm is proposed to achieve low complexity and exploit the finite alphabet constraint. Motivated by the Sylvester structure, it approximates the full greedy search by focusing on local error sequences. It can also be regarded as a flexible interference cancellation strategy with noncausal information and iterative computations. An empirical comparison of detectors with perfect channel knowledge demonstrated that the proposed LOIC algorithms can offer very attractive BER/complexity tradeoffs." }, { "paper": "1992694975", "venue": "122441808", "year": "2004", "title": "deligne s topological central extension is universal", "label": [ "2777423538", "187173678", "30357023", "173832452", "126794175", "93968575", "84583765", "2777404646" ], "author": [ "2096297513" ], "reference": [ "1494578623", "1558356405", "1995408106", "2003440110", "2008446055", "2034299012", "2071536720", "2086934713" ], "abstract": "abstract we give a purely local proof of the fact that the topological central extension of g k g an absolutely almost simple algebraic group defined and isotropic over a nonarchimedean local field k by the finite group k of roots of unity in k constructed by pierre deligne is a universal topological central extension of g k", "title_raw": "Deligne's topological central extension is universal", "abstract_raw": "Abstract We give a purely \u201clocal\u201d proof of the fact that the topological central extension of G(k), G an absolutely almost simple algebraic group defined and isotropic over a nonarchimedean local field k, by the finite group \u03bc(k) of roots of unity in k, constructed by Pierre Deligne, is a universal topological central extension of G(k)." }, { "paper": "2057152226", "venue": "54953690", "year": "2004", "title": "global existence of small solutions for quadratic quasilinear klein gordon systems in two space dimensions", "label": [ "49344536", "202444582", "78045399", "129844170", "118299288", "101682238", "134306372" ], "author": [ "2565992999", "2894222476", "2162022462" ], "reference": [ "573875256", "1513275136", "1974973522", "1987555176", "2009305642", "2051396183", "2064551496", "2148129404", "2167113113", "2253657054", "2268938414", "3021722416" ], "abstract": "consider a quasi linear system of two klein gordon equations with masses m1 m2 we prove that when m1a2m2 and m2a2m1 such a system has global solutions for small smooth compactly supported cauchy data this extends a result proved by sunagawa j differential equations 192 2 2003 308 in the semi linear case moreover we show that global existence holds true also when m1 2m2 and a convenient null condition is satisfied by the nonlinearities", "title_raw": "Global existence of small solutions for quadratic quasilinear Klein\u2013Gordon systems in two space dimensions", "abstract_raw": "Consider a quasi-linear system of two Klein\u2013Gordon equations with masses m1; m2: We prove that when m1a2m2 and m2a2m1; such a system has global solutions for small, smooth, compactly supported Cauchy data. This extends a result proved by Sunagawa (J. Differential Equations 192 (2) (2003) 308) in the semi-linear case. Moreover, we show that global existence holds true also when m1 \u00bc 2m2 and a convenient null condition is satisfied by the nonlinearities." }, { "paper": "2005241156", "venue": "62223294", "year": "2004", "title": "finite 2 groups with exactly four cyclic subgroups of order 2 n", "label": [ "160826032", "55792552", "30236536", "134064494", "124535231", "146531340", "130940089", "20725272", "114614502" ], "author": [ "2985527018" ], "reference": [ "1966059944", "2067483689", "2750098114" ], "abstract": "in this paper finite 2 groups g with exactly four cyclic subgroups of order 2 n n 2 n fixed are classified it turns out that these four cyclic subgroups of order 2 n generate always a subgroup of order 2 n 2 in the second part of the paper a kind of converse of this result is proved if g is a finite 2 group all of whose elements of order 2 n generate a subgroup of order 2 n 2 then the structure of g is completly determined at the end of the paper we completely classify so called u 2 groups and give a new non computational proof of the famous blackburn s theorem in which minimal non metacyclic 2 groups are completely classified", "title_raw": "Finite 2-groups with exactly four cyclic subgroups of order 2^n", "abstract_raw": "In this paper finite 2-groups G with exactly four cyclic subgroups of order 2^n(n>=2) (n fixed) are classified. It turns out that these four cyclic subgroups of order 2^n generate always a subgroup of order 2^n+2. In the second part of the paper a kind of converse of this result is proved. If G is a finite 2-group all of whose elements of order 2^n generate a subgroup of order 2^n+2, then the structure of g is completly determined. At the end of the paper we completely classify so called U\u02c72-groups and give a new non-computational proof of the famous Blackburn's theorem in which minimal non-metacyclic 2-groups are completely classified." }, { "paper": "2036278986", "venue": "158241587", "year": "2004", "title": "on the clebsch gordan problem for su 1 1 coupling nonstandard representations", "label": [ "51568863", "68173885", "158464096", "114070023", "23503194", "195592935", "202444582", "21607733", "24211327" ], "author": [ "2632566569" ], "reference": [ "1579533523", "1610274090", "1968988907", "1974793957", "1977171959", "1979081868", "1979867513", "1980503288", "1984635917", "1987094368", "1990824176", "2012455795", "2017456503", "2017816457", "2019499399", "2021350861", "2028207955", "2028391441", "2039457516", "2040744317", "2062584998", "2063150264", "2063916954", "2068058894", "2090082117", "2118447264", "2158347679", "2751862591" ], "abstract": "the clebsch gordan coefficients coupling two unitary irreducible positive discrete series representations of su 1 1 are constructed in contrast to the clebsch gordan coefficients obtained a long time ago by holman and biedenharn ann phys n y 39 1 1966 the derived coefficients are valid even when coupling nonstandard representations such as those for which the corresponding bargmann indices k may be k 14 and or 34 values associated with the two photon realization of the su 1 1 lie algebra the corresponding representations covering the even and odd number states respectively of the single mode boson system these nonstandard cases are actually representations associated with the covering group su 1 1 the results are extended to the coupling of three positive discrete series and the corresponding su 1 1 racah coefficients are obtained", "title_raw": "On the Clebsch\u2013Gordan problem for SU(1,1): Coupling nonstandard representations", "abstract_raw": "The Clebsch\u2013Gordan coefficients coupling two unitary, irreducible, positive discrete series representations of SU(1,1), are constructed. In contrast to the Clebsch\u2013Gordan coefficients obtained a long time ago by Holman and Biedenharn [Ann. Phys. (N.Y.) 39, 1 (1966)], the derived coefficients are valid even when coupling nonstandard representations such as those for which the corresponding Bargmann indices k may be k=14 and/or 34, values associated with the \u201ctwo-photon\u201d realization of the su(1,1) Lie algebra, the corresponding representations covering the even and odd number states, respectively, of the single-mode boson system. These nonstandard cases are actually representations associated with the covering group SU\u00af(1,1). The results are extended to the coupling of three positive discrete series and the corresponding SU(1,1) Racah coefficients are obtained." }, { "paper": "1966760772", "venue": "184147796", "year": "2004", "title": "rooted wreath products", "label": [ "146531340", "90673727", "81008192", "77670614", "136170076", "95635736", "114614502", "128622974", "92957085" ], "author": [ "2428960380", "2190754792" ], "reference": [ "472876518", "587656250", "605997506", "629265671", "630902819", "1971464376", "2004097328", "2022731580", "2068752721", "2073016547", "2076644216", "2081124633", "2313751139", "2578368338", "3203668817" ], "abstract": "abstract we introduce rooted valuation products and use them to construct universal abelian lattice ordered groups with prescribed set of components from the more classical theory of h hahn the wreath product construction of w c holland and s h mccleary generalised the abelian lattice ordered permutation group ideas to give universals for transitive l permutation groups with prescribed set of primitive components in the case of not necessarily transitive sublattice subgroups of order preserving permutations of totally ordered sets the set of natural congruences forms a root system we generalise the rooted valuation product construction to the permutation case when all natural primitive components are regularly obtained we analogously obtain universals for these permutation groups for a prescribed set of natural primitive components which we call rooted wreath products we identify the rooted valuation product with an appropriate subgroup of the corresponding rooted wreath product the maximal abelian group actions on the ordered real line were characterised in by r winkler and their digital representations were consequently obtained we use the rooted wreath product construction to get a more general result and deduce winkler s characterisation as a consequence", "title_raw": "Rooted wreath products", "abstract_raw": "Abstract We introduce \u201crooted valuation products\u201d and use them to construct universal Abelian lattice-ordered groups (with prescribed set of components) from the more classical theory of H. Hahn. The wreath product construction of W.C. Holland and S.H. McCleary generalised the Abelian (lattice-ordered) permutation group ideas to give universals for transitive (l-)permutation groups with prescribed set of primitive components. In the case of (not necessarily transitive) sublattice subgroups of order-preserving permutations of totally ordered sets, the set of natural congruences forms a root system. We generalise the rooted valuation product construction to the permutation case when all natural primitive components are regularly obtained; we analogously obtain universals for these permutation groups (for a prescribed set of natural primitive components) which we call \u201crooted wreath products.\u201d We identify the rooted valuation product with an appropriate subgroup of the corresponding rooted wreath product. The maximal Abelian group actions on the ordered real line were characterised in by R. Winkler, and their digital representations were consequently obtained. We use the rooted wreath product construction to get a more general result, and deduce Winkler's characterisation as a consequence." }, { "paper": "2026124002", "venue": "11296630", "year": "2004", "title": "influence of data uncertainty on matched field geoacoustic inversion", "label": [ "57830394", "135252773", "158424031", "105795698", "194531419", "11413529", "204693719", "160920958", "107673813" ], "author": [ "2149971807", "2297258855", "2171886527" ], "reference": [], "abstract": "quantifying uncertainty in matched field geoacoustic inversion using a bayesian approach has attracted the attention of several authors in recent years the complete solution to the inverse problem is given by the posterior probability distribution ppd in the model space given good knowledge of the noise statistics therefore an estimate of noise including measurement errors and model mismatch is essential to obtain the ppds in this study several approaches to accommodating the effects of the noise are suggested such as using different likelihood functions or treating the noise as a nuisance parameter the posterior probability of the model parameters is sampled using a gibbs sampler approach based on the metropolis algorithm comparisons between the approaches using synthetic data and experimental data are presented work supported by onr", "title_raw": "Influence of data uncertainty on matched\u2010field geoacoustic inversion", "abstract_raw": "Quantifying uncertainty in matched\u2010field geoacoustic inversion using a Bayesian approach has attracted the attention of several authors in recent years. The complete solution to the inverse problem is given by the posterior probability distribution (PPD) in the model space given good knowledge of the noise statistics. Therefore, an estimate of noise (including measurement errors and model mismatch) is essential to obtain the PPDs. In this study, several approaches to accommodating the effects of the noise are suggested, such as using different likelihood functions or treating the noise as a nuisance parameter. The posterior probability of the model parameters is sampled using a Gibbs sampler approach based on the Metropolis algorithm. Comparisons between the approaches using synthetic data and experimental data are presented. [Work supported by ONR.]" }, { "paper": "2039606696", "venue": "50372074", "year": "2004", "title": "magnetohydrodynamic instability of kelvin helmholtz with annulus cylindrical interfaces pervaded by helical varying magnetic fields", "label": [ "33026886", "207821765", "2778925954", "203311528" ], "author": [ "2113605318", "2500189531" ], "reference": [ "1963654075", "1987354217", "1988262823", "1990356970", "1997614074", "2019933671", "2032144512", "2052075828", "2052971857", "2055931342", "2073073827", "2080609653", "2082062598", "2108406798", "2515017267", "2801179766", "3016843226", "3169738021" ], "abstract": "the mhd instability of an annulus fluid having a very dense liquid tar mantle cylinder immersed in a bounded tenuous medium pervaded by a helical varying magnetic fields has been developed a general eigenvalue relation is derived discussed and the results are interpreted physically several published stability criteria of different models are obtained as limiting cases and investigated this has been done for all axisymmetric and non axisymmetric modes of perturbation the annulus model is unstable due to the streaming influence and that of the helical tenuous varying magnetic field several stability cases under restrictions are discussed the results are moreover confirmed by studying the asymptotic behavior of the general stability criterion", "title_raw": "Magnetohydrodynamic instability of Kelvin-Helmholtz with annulus cylindrical interfaces pervaded by helical varying magnetic fields", "abstract_raw": "The MHD instability of an annulus fluid having a very dense liquid (tar) mantle cylinder immersed in a bounded tenuous medium pervaded by a helical varying magnetic fields has been developed. A general eigenvalue relation is derived, discussed and the results are interpreted physically. Several published stability criteria of different models are obtained as limiting cases and investigated. This has been done for all axisymmetric and non-axisymmetric modes of perturbation. The annulus model is unstable due to the streaming influence and that of the helical tenuous varying magnetic field. Several stability cases under restrictions are discussed. The results are, moreover, confirmed by studying the asymptotic behavior of the general stability criterion." }, { "paper": "2122850787", "venue": "172180718", "year": "2004", "title": "estimating genetic association parameters from family data", "label": [ "110121322", "185429906", "165646398", "105795698", "191988596" ], "author": [ "287862508" ], "reference": [ "1577972870", "2052071194", "2059543915", "2063682634", "2080167581", "2101791172", "2132656320" ], "abstract": "summary we consider the problem of estimating a parameter 0 reflecting association between a disease and genotypes of a genetic polymorphism using nuclear family data in many applications some parental genotypes are missing and the distribution of these genotypes is unknown since misspecification of this distribution can bias estimators for 0 we consider estimating functions that are unbiased regardless of how the distribution is specified we call the resulting estimators parental genotype robust rabinowitz 2002 has proposed a constrained optimisation method for obtaining locally optimal unbiased tests of the null hypothesis of no association we use a similar method to derive estimating functions that yield parental genotype robust estimators with minimum variance in the class of all such estimators we extend the estimating functions to obtain parental genotype robust estimators when 0 is a vector of unknown parameters and show that the estimating functions enjoy a certain optimality property", "title_raw": "Estimating genetic association parameters from family data", "abstract_raw": "SUMMARY We consider the problem of estimating a parameter 0 -reflecting association between a disease and genotypes of a genetic polymorphism, using nuclear family data. In many applications, some parental genotypes are missing, and the distribution of these genotypes is unknown. Since misspecification of this distribution can bias estimators for 0, we consider estimating functions that are unbiased, regardless of how the distribution is specified. We call the resulting estimators parental-genotype robust. Rabinowitz (2002) has proposed a constrained optimisation method for obtaining locally optimal unbiased tests of the null hypothesis of no association. We use a similar method to derive estimating functions that yield parental-genotype-robust estimators with minimum variance in the class of all such estimators. We extend the estimating functions to obtain parental-genotype-robust estimators when 0 is a vector of unknown parameters, and show that the estimating functions enjoy a certain optimality property." }, { "paper": "2087352511", "venue": "165512578", "year": "2004", "title": "linear versus nonlinear dimensionality reduction of high dimensional dynamical systems", "label": [ "48753275", "28826006", "79379906", "164380108", "93779851", "134306372", "178685544", "51544822", "12362212", "114275822" ], "author": [ "2040434672" ], "reference": [ "1966382716", "2032139645", "2046527278", "2050973644", "2095377493", "2103496339", "2122538988", "2131329059", "2139168617", "2148694408", "2152785594" ], "abstract": "two techniques for dimensionality reduction of high dimensional dynamical systems are presented the first is based on karhunen loeve k l analysis and the second on autoassociative neural networks anns first we analyze the dynamics of two partial differential equations namely the one dimensional 1 d kuramoto sivashinsky k s equation and the two dimensional 2 d navier stokes n s equations for the 1 d k s equation one particular dynamical behavior represented by a heteroclinic connection in phase space is investigated as for the 2 d n s equations a quasi periodic behavior is examined coherent structures of both dynamics were extracted spanning linear subspaces with minimum information loss then we obtain systems of ordinary differential equations based on sophisticated k l galerkin type approximation capturing the dynamics of the attractors of both regimes residing on linear manifolds using the k l data coefficients as inputs to autoassociative neural networks we are able to r", "title_raw": "Linear versus Nonlinear Dimensionality Reduction of High-Dimensional Dynamical Systems", "abstract_raw": "Two techniques for dimensionality reduction of high-dimensional dynamical systems are presented. The first is based on Karhunen--Loeve (K-L) analysis and the second on autoassociative neural networks (ANNs). First, we analyze the dynamics of two partial differential equations, namely, the one-dimensional (1-d) Kuramoto--Sivashinsky (K-S) equation and the two-dimensional (2-d) Navier--Stokes (N-S) equations. For the 1-d K-S equation, one particular dynamical behavior, represented by a heteroclinic connection in phase space, is investigated. As for the 2-d N-S equations, a quasi-periodic behavior is examined. Coherent structures of both dynamics were extracted spanning linear subspaces with minimum information loss. Then we obtain systems of ordinary differential equations based on sophisticated (K-L) Galerkin-type approximation capturing the dynamics of the attractors of both regimes residing on linear manifolds. Using the K-L data coefficients as inputs to autoassociative neural networks, we are able to r..." }, { "paper": "2153895109", "venue": "106174089", "year": "2004", "title": "reply to the discussion", "label": [ "59696629", "33577790", "145242015", "28826006", "193386753" ], "author": [ "2143365303" ], "reference": [], "abstract": "we thank lei li for his interest comments and notification of misprints in our paper pedersen et al 2007 in which we develop direct approximations of the squared slowness", "title_raw": "Reply to the discussion", "abstract_raw": "We thank Lei Li for his interest, comments, and notification of misprints in our paper (Pedersen et al., 2007), in which we develop direct approximations of the squared slowness." }, { "paper": "2165694723", "venue": "45918994", "year": "2004", "title": "higher composition laws ii on cubic analogues of gauss composition", "label": [ "129844170", "143542225", "202444582", "80695182", "12657307", "118299288", "187915474", "202171527" ], "author": [ "2157979606" ], "reference": [ "125869914", "590857628", "1482975181", "1488387456", "1554540993", "1569977378", "1994734971", "2004530105", "2158480122", "2228951873" ], "abstract": "in our first article 2 we developed a new view of gauss composition of binary quadratic forms which led to several new laws of composition on various other spaces of forms moreover we showed that the groups arising from these composition laws were closely related to the class groups of orders in quadratic number fields while the spaces underlying those composition laws were closely related to certain exceptional lie groups in this paper our aim is to develop analogous laws of composition on certain spaces of forms so that the resulting groups yield information on the class groups of orders in cubic fields that is we wish to obtain genuine cubic analogues of gauss composition the fundamental object in our treatment of quadratic composition 2 was the space of 2 x 2 x 2 cubes of integers in particular gauss composition arose from the three different ways of slicing a cube a into two 2 x 2 matrices mi ni i 1 2 3 each such pair mi ni gives rise to a binary quadratic form qa x y qi x y defined by qi x y det mix niy the cube law of 2 declares that as a ranges over all cubes the sum of qi q2 q3 is zero it was shown in 2 that the cube law gives a law of addition on binary quadratic forms that is equivalent to gauss composition various other invariant theoretic constructions using the space of 2 x 2 x 2 cubes led to several new composition laws on other spaces of forms furthermore we showed that each of these composition laws gave rise to groups that are closely related to the class groups of orders in quadratic fields based on the quadratic case described above our first inclination for the cubic case might be to examine 3 x 3 x 3 cubes of integers a 3 x 3 x 3 cube c can be sliced in three different ways into three 3 x 3 matrices li mi ni i 1 2 3 we may therefore obtain from c three ternary cubic forms fl x y z f2 x y z f3 x y z defined by", "title_raw": "Higher composition laws II: On cubic analogues of Gauss composition", "abstract_raw": "In our first article [2] we developed a new view of Gauss composition of binary quadratic forms which led to several new laws of composition on various other spaces of forms. Moreover, we showed that the groups arising from these composition laws were closely related to the class groups of orders in quadratic number fields, while the spaces underlying those composition laws were closely related to certain exceptional Lie groups. In this paper, our aim is to develop analogous laws of composition on certain spaces of forms so that the resulting groups yield information on the class groups of orders in cubic fields; that is, we wish to obtain genuine \"cubic analogues\" of Gauss composition. The fundamental object in our treatment of quadratic composition [2] was the space of 2 x 2 x 2 cubes of integers. In particular, Gauss composition arose from the three different ways of slicing a cube A into two 2 x 2 matrices Mi, Ni (i = 1, 2, 3). Each such pair (Mi, Ni) gives rise to a binary quadratic form QA(x, y) = Qi (x, y), defined by Qi(x, y) = -Det(Mix + Niy). The Cube Law of [2] declares that as A ranges over all cubes, the sum of [Qi], [Q2], [Q3] is zero. It was shown in [2] that the Cube Law gives a law of addition on binary quadratic forms that is equivalent to Gauss composition. Various other invariant-theoretic constructions using the space of 2 x 2 x 2 cubes led to several new composition laws on other spaces of forms. Furthermore, we showed that each of these composition laws gave rise to groups that are closely related to the class groups of orders in quadratic fields. Based on the quadratic case described above, our first inclination for the cubic case might be to examine 3 x 3 x 3 cubes of integers. A 3 x 3 x 3 cube C can be sliced (in three different ways) into three 3 x 3 matrices Li, Mi, Ni (i = 1,2,3). We may therefore obtain from C three ternary cubic forms fl(x, y, Z), f2(x, y,z), f3(x, y,z), defined by" }, { "paper": "2140124111", "venue": "134818455", "year": "2004", "title": "a family of hyperbolic spin calogero moser systems and the spin toda lattices", "label": [ "7322696", "51568863", "187834632", "37914503", "125565743", "121770821", "200741047" ], "author": [ "2963459214" ], "reference": [ "7447370", "44879196", "656673314", "1553322733", "1579706522", "1631114555", "1818816638", "1968633572", "1972362863", "1974982320", "1993517620", "1998534007", "2000393058", "2001020033", "2017200202", "2024283190", "2030553663", "2042520296", "2060647731", "2064814872", "2069284246", "2071874523", "2075224423", "2085961091", "2093679574", "2107588390", "2125433961", "2150922808", "2159695001", "2227444704", "2886607122", "2990009437", "2992916319", "3005153432", "3104934721", "3105771680", "3123282640" ], "abstract": "in this paper we continue to develop a general scheme to study a broad class of integrable systems naturally associated with the coboundary dynamical lie algebroids in particular we present a factorization method for solving the hamiltonian flows we also present two important classes of new examples a family of hyperbolic spin calogero moser systems and the spin toda lattices to illustrate our factorization theory we show how to solve these hamiltonian systems explicitly 2004 wiley periodicals inc", "title_raw": "A Family of Hyperbolic Spin Calogero-Moser Systems and the Spin Toda Lattices", "abstract_raw": "In this paper, we continue to develop a general scheme to study a broad class of integrable systems naturally associated with the coboundary dynamical Lie algebroids. In particular, we present a factorization method for solving the Hamiltonian flows. We also present two important classes of new examples, a family of hyperbolic spin Calogero-Moser systems and the spin Toda lattices. To illustrate our factorization theory, we show how to solve these Hamiltonian systems explicitly. \u00a9 2004 Wiley Periodicals, Inc." }, { "paper": "2039571648", "venue": "79244937", "year": "2004", "title": "quantum magnetic algebra and magnetic curvature", "label": [ "168619227", "175322374", "125565743", "104586451", "135661100", "134306372", "195065555", "40265840", "2779668893", "125849494" ], "author": [ "2638694850", "2132896397" ], "reference": [ "123439666", "154357189", "634881553", "1504272734", "1971049074", "1992790717", "2001582369", "2022272407", "2034222396", "2042249484", "2060890455", "2071417479", "2073455312", "2074106775", "2086502023", "2090432663", "2094008310", "2098020860", "2112036809", "2117472940", "2137549166", "2149378050", "2164353981", "2164812117", "2225000375", "2261622188", "2481052337", "2567165719", "2727945952", "2949824365", "3003980515", "3101943544", "3103448432", "3113859861", "3114018629", "3125746511" ], "abstract": "the symplectic geometry of the phase space associated with a charged particle is determined by the addition of the faraday 2 form to the standard dp dq structure on in this paper we describe the corresponding algebra of weyl symmetrized functions in operators satisfying nonlinear commutation relations the multiplication in this algebra generates an associative product of functions on the phase space this product is given by an integral kernel whose phase is the symplectic area of a groupoid consistent membrane a symplectic phase space connection with non trivial curvature is extracted from the magnetic reflections associated with the stratonovich quantizer zero and constant curvature cases are considered as examples the quantization with both static and time dependent electromagnetic fields is obtained the expansion of the product by the deformation parameter written in the covariant form is compared with the known deformation quantization formulae", "title_raw": "Quantum magnetic algebra and magnetic curvature", "abstract_raw": "The symplectic geometry of the phase space associated with a charged particle is determined by the addition of the Faraday 2-form to the standard dp \u2227 dq structure on . In this paper, we describe the corresponding algebra of Weyl-symmetrized functions in operators satisfying nonlinear commutation relations. The multiplication in this algebra generates an associative product of functions on the phase space. This product is given by an integral kernel whose phase is the symplectic area of a groupoid-consistent membrane. A symplectic phase space connection with non-trivial curvature is extracted from the magnetic reflections associated with the Stratonovich quantizer. Zero and constant curvature cases are considered as examples. The quantization with both static and time-dependent electromagnetic fields is obtained. The expansion of the product by the deformation parameter , written in the covariant form, is compared with the known deformation quantization formulae." }, { "paper": "1974389159", "venue": "62401924", "year": "2004", "title": "optimal design of blocked and split plot experiments", "label": [ "105795698", "28826006", "186394612" ], "author": [ "2153405070" ], "reference": [ "1994616650", "2009797711" ], "abstract": "", "title_raw": "Optimal Design of Blocked and Split-Plot Experiments", "abstract_raw": "" }, { "paper": "2038074608", "venue": "119757635", "year": "2004", "title": "selecting optimal multistep predictors for autoregressive processes of unknown order", "label": [ "159877910", "126255220", "139945424", "93959086", "149782125" ], "author": [ "2098869556" ], "reference": [ "1483765329", "1527375737", "1533169541", "1975057794", "1996087748", "2000352206", "2006157226", "2019972886", "2026590277", "2033207252", "2050921410", "2053375504", "2058049563", "2070681743", "2094597214", "2112341373", "2124709521", "2142635246", "2168175751", "2327938815", "2342249957", "2348093698" ], "abstract": "we consider the problem of choosing the optimal in the sense of mean squared prediction error multistep predictor for an autoregressive ar process of finite but unknown order if a working ar model which is possibly misspecified is adopted for multistep predictions then two competing types of multistep predictors i e plug in and direct predictors can be obtained from this model we provide some interesting examples to show that when both plug in and direct predictors are considered the optimal multistep prediction results cannot be guaranteed by correctly identifying the underlying model s order this finding challenges the traditional model order selection criteria which usually aim to choose the order of the true model a new prediction selection criterion which attempts to seek the best combination of the prediction order and the prediction method is proposed to rectify this difficulty when the underlying model is stationary the validity of the proposed criterion is justified theoretically to obtain this result asymptotic properties of accumulated squares of multistep prediction errors are investigated in addition to overcoming the above difficulty some other advantages of the proposed criterion are also mentioned", "title_raw": "Selecting optimal multistep predictors for autoregressive processes of unknown order", "abstract_raw": "We consider the problem of choosing the optimal (in the sense of mean-squared prediction error) multistep predictor for an autoregressive (AR) process of finite but unknown order. If a working AR model (which is possibly misspecified) is adopted for multistep predictions, then two competing types of multistep predictors (i.e., plug-in and direct predictors) can be obtained from this model. We provide some interesting examples to show that when both plug-in and direct predictors are considered, the optimal multistep prediction results cannot be guaranteed by correctly identifying the underlying model's order. This finding challenges the traditional model (order) selection criteria, which usually aim to choose the order of the true model. A new prediction selection criterion, which attempts to seek the best combination of the prediction order and the prediction method, is proposed to rectify this difficulty. When the underlying model is stationary, the validity of the proposed criterion is justified theoretically. To obtain this result, asymptotic properties of accumulated squares of multistep prediction errors are investigated. In addition to overcoming the above difficulty, some other advantages of the proposed criterion are also mentioned." }, { "paper": "2024793570", "venue": "50372074", "year": "2004", "title": "finite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functions", "label": [ "93779851", "4195266", "182310444", "48753275", "205951836", "111615704", "134306372", "26955809", "158622935" ], "author": [ "1944392322", "2177216889", "2310382442" ], "reference": [ "121205679", "585246850", "656657393", "1529498073", "1584240939", "1975693369", "1986788497", "2004152688", "2011669849", "2011738040", "2020168202", "2022337355", "2027087330", "2052075567", "3003821699", "3111685920" ], "abstract": "in this paper a finite difference method for solving boundary initial value problem of nonlinear system equations of hyperbolic type in a class of discontinuous functions is suggested in order to obtain the numerical solution of the main problem in a class of discontinuous functions the auxiliary problem is introduced the degree of smoothness of the solution of the auxiliary problem is higher than of smoothness of the solution of the main problem furthermore the suggested auxiliary problem lets us write out effective and higher order numerical algorithms the solutions obtained from these algorithms represent the physical nature of the problem with a high accuracy some numerical experiments are carried out by using the auxiliary problem", "title_raw": "Finite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functions", "abstract_raw": "In this paper, a finite-difference method for solving boundary initial value problem of nonlinear system equations of hyperbolic type in a class of discontinuous functions is suggested. In order to obtain the numerical solution of the main problem in a class of discontinuous functions the auxiliary problem is introduced. The degree of smoothness of the solution of the auxiliary problem is higher than of smoothness of the solution of the main problem. Furthermore, the suggested auxiliary problem lets us write out effective and higher order numerical algorithms. The solutions obtained from these algorithms represent the physical nature of the problem with a high accuracy. Some numerical experiments are carried out by using the auxiliary problem." }, { "paper": "1968969895", "venue": "151579836", "year": "2004", "title": "degree of approximation to function of bounded variation by bezier variant of mkz operators", "label": [ "205826798", "27851653", "134306372", "149441793", "58442840", "122203268", "118615104", "5917680" ], "author": [ "2100002075" ], "reference": [ "892965495", "1532062633", "2025801388", "2071814209", "2071817160", "2081952974", "2106393237", "2137092409", "2186498594", "2564550761" ], "abstract": "abstract guo approx theory appl 4 1988 9 18 introduced the integral modification of meyer konig and zeller operators m n and studied the rate of convergence for functions of bounded variation in this paper we introduce the bezier variant of these integrated mkz operators and study the rate of convergence by means of the decomposition technique of functions of bounded variation together with some results of probability theory and the exact bound of mkz basis functions recently zeng j math anal appl 219 1998 364 376 claimed to improve the results of guo and gupta approx theory appl 11 1995 106 107 but there is a major mistake in the paper of zeng for special case our main theorem gives the correct estimate on the rate of convergence over the result of zeng", "title_raw": "Degree of approximation to function of bounded variation by B\u00e9zier variant of MKZ operators", "abstract_raw": "Abstract Guo (Approx. Theory Appl. 4 (1988) 9\u201318) introduced the integral modification of Meyer-Konig and Zeller operators M n and studied the rate of convergence for functions of bounded variation. In this paper we introduce the Bezier variant of these integrated MKZ operators and study the rate of convergence by means of the decomposition technique of functions of bounded variation together with some results of probability theory and the exact bound of MKZ basis functions. Recently, Zeng (J. Math. Anal. Appl. 219 (1998) 364\u2013376) claimed to improve the results of Guo and Gupta (Approx. Theory Appl. 11 (1995) 106\u2013107), but there is a major mistake in the paper of Zeng. For special case our main theorem gives the correct estimate on the rate of convergence, over the result of Zeng." }, { "paper": "2106286861", "venue": "151579836", "year": "2004", "title": "first order hyperbolic pseudodifferential equations with generalized symbols", "label": [ "26955809", "70915906", "69151251", "78045399", "45137528", "18880391", "153353860", "202444582" ], "author": [ "2149346196" ], "reference": [ "561403214", "573875256", "600856869", "1236628060", "1498484201", "1499567178", "1532154335", "1580700045", "1589895276", "1706513644", "1807383914", "1965825711", "2002835219", "2007463984", "2031224001", "2037722634", "2080790879", "2091163350", "2168606006", "2798644970", "2952599326", "3021722416" ], "abstract": "abstract we consider the cauchy problem for a hyperbolic pseudodifferential operator whose symbol is generalized resembling a representative of a colombeau generalized function such equations arise for example after a reduction decoupling of second order model systems of differential equations in seismology we prove existence of a unique generalized solution under log type growth conditions on the symbol thereby extending known results for the case of differential operators j math anal appl 160 1991 93 106 j math anal appl 142 1989 452 467", "title_raw": "First-order hyperbolic pseudodifferential equations with generalized symbols\u2606", "abstract_raw": "Abstract We consider the Cauchy problem for a hyperbolic pseudodifferential operator whose symbol is generalized, resembling a representative of a Colombeau generalized function. Such equations arise, for example, after a reduction-decoupling of second-order model systems of differential equations in seismology. We prove existence of a unique generalized solution under log-type growth conditions on the symbol, thereby extending known results for the case of differential operators [J. Math. Anal. Appl. 160 (1991) 93\u2013106, J. Math. Anal. Appl. 142 (1989) 452\u2013467]." }, { "paper": "2112714890", "venue": "40006715", "year": "2004", "title": "cam clay plasticity part v a mathematical framework for three phase deformation and strain localization analyses of partially saturated porous media", "label": [ "2779736610", "202973686", "3445786" ], "author": [ "2182635603" ], "reference": [ "70746903", "113831185", "382402978", "599350493", "833006642", "1514624257", "1522511406", "1562163328", "1589918648", "1595283676", "1968794947", "1974034403", "1975881347", "1977356197", "1977727715", "1985657419", "1986738294", "1988512144", "1998841799", "2002565503", "2005887520", "2007505252", "2014442448", "2014695259", "2017269974", "2018825362", "2026613916", "2035482330", "2040511246", "2041315001", "2042768725", "2046581516", "2047296280", "2056512656", "2057220674", "2058858591", "2060390405", "2060489052", "2064363825", "2065398614", "2086725159", "2096081038", "2113589370", "2131820056", "2137000963", "2137407452", "2139864320", "2148248448", "2152945238", "2161066279", "2162604832", "2165857122", "2167763865", "2168597328", "2265540068", "2491926681", "2625719696", "2889747651", "2979697500", "3132178687", "3157912089" ], "abstract": "we present a mathematical framework for deformation and strain localization analyses of partially saturated granular media using three phase continuum mixture theory first we develop conservation laws governing a three phase mixture to identify energy conjugate expressions for constitutive modeling energy conjugate expressions identified relate a certain measure of effective stress to the deformation of the solid matrix the degree of saturation to the matrix suction the pressure in each phase to the corresponding intrinsic volume change of this phase and the seepage forces to the corresponding pressure gradients from the second of law of thermodynamics we obtain the dissipation inequality from the principle of maximum plastic dissipation we derive a condition for the convexity of the yield function then we formulate expressions describing conditions for the onset of tabular deformation bands under locally drained and locally undrained conditions finally we cast a specific constitutive model for partially saturated soils within the proposed mathematical framework and implement it in the context of return mapping algorithm of computational plasticity the proposed constitutive model degenerates to the classical modified cam clay model of soil mechanics in the limit of full saturation numerical examples are presented to demonstrate the performance of the return mapping algorithm as well as illustrate the localization properties of the model as functions of imposed deformation and matrix suction histories", "title_raw": "Cam-Clay plasticity. Part V: A mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media", "abstract_raw": "We present a mathematical framework for deformation and strain localization analyses of partially saturated granular media using three-phase continuum mixture theory. First, we develop conservation laws governing a three-phase mixture to identify energy-conjugate expressions for constitutive modeling. Energy conjugate expressions identified relate a certain measure of effective stress to the deformation of the solid matrix, the degree of saturation to the matrix suction, the pressure in each phase to the corresponding intrinsic volume change of this phase, and the seepage forces to the corresponding pressure gradients. From the second of law of thermodynamics we obtain the dissipation inequality; from the principle of maximum plastic dissipation we derive a condition for the convexity of the yield function. Then, we formulate expressions describing conditions for the onset of tabular deformation bands under locally drained and locally undrained conditions. Finally, we cast a specific constitutive model for partially saturated soils within the proposed mathematical framework, and implement it in the context of return mapping algorithm of computational plasticity. The proposed constitutive model degenerates to the classical modified Cam-Clay model of soil mechanics in the limit of full saturation. Numerical examples are presented to demonstrate the performance of the return mapping algorithm as well as illustrate the localization properties of the model as functions of imposed deformation and matrix suction histories." }, { "paper": "2092589865", "venue": "185067381", "year": "2004", "title": "the bernoulli property for weakly hyperbolic systems", "label": [ "27142425", "79379906", "8272713", "141513077", "191544260", "134306372", "190470478", "47556283" ], "author": [ "1921444842", "2112196957", "2090858155" ], "reference": [ "13449575", "150108031", "1972136709", "2000983461", "2060287224", "2083309269", "2106627783", "2143041686", "3162514650" ], "abstract": "a dynamical system is called partially hyperbolic if it exhibits three invariant directions one unstable expanding one stable contracting and one central direction somewhere in between the other two we prove that topologically mixing partially hyperbolic diffeomorphisms whose central direction is non uniformly contracting negative lyapunov exponents almost everywhere have the bernoulli property the system is equivalent to an i i d independently identically distributed random process in particular these systems are mixing correlations of integrable functions go to zero as time goes to infinity we also extend this result in two different ways firstly for 3 dimensional diffeomorphisms if one requires only non zero instead of negative lyapunov exponents then one still gets a quasi bernoulli property secondly if one assumes accessibility any two points are joined by some path whose legs are stable segments and unstable segments then it suffices to requires the mostly contracting property on a positive measure subset to obtain the same conclusions", "title_raw": "The Bernoulli Property for Weakly Hyperbolic Systems", "abstract_raw": "A dynamical system is called partially hyperbolic if it exhibits three invariant directions, one unstable (expanding), one stable (contracting) and one central direction (somewhere in between the other two). We prove that topologically mixing partially hyperbolic diffeomorphisms whose central direction is non-uniformly contracting (negative Lyapunov exponents) almost everywhere have the Bernoulli property: the system is equivalent to an i. i. d. (independently identically distributed) random process. In particular, these systems are mixing: correlations of integrable functions go to zero as time goes to infinity. We also extend this result in two different ways. Firstly, for 3-dimensional diffeomorphisms, if one requires only non-zero (instead of negative) Lyapunov exponents then one still gets a quasi-Bernoulli property. Secondly, if one assumes accessibility (any two points are joined by some path whose legs are stable segments and unstable segments) then it suffices to requires the mostly contracting property on a positive measure subset, to obtain the same conclusions." }, { "paper": "2059657250", "venue": "985303", "year": "2004", "title": "two projection methods for use in the analysis of multivariate process data with an illustration in petrochemical production", "label": [ "5297727", "121152540", "27438332", "24252448", "161584116" ], "author": [ "2545402447", "2118183979", "2104177209", "2043433474" ], "reference": [ "48439977", "58387177", "117288752", "153815177", "194559130", "1588429334", "1965155137", "1965434991", "1965882534", "1968714600", "1973475129", "1977107458", "1978894823", "1985031629", "1989230941", "2001595608", "2040295478", "2047653254", "2051415232", "2056290615", "2077383827", "2077791644", "2079395295", "2083604762", "2089056145", "2101775780", "2102596683", "2107691999", "2142753079", "2162408280", "2490112691", "2796824143" ], "abstract": "principal components analysis pca is often used in the analysis of multivariate process data to identify important combinations of the original variables on which to focus for more detailed study however pca and other related projection techniques from the standard multivariate repertoire are not explicitly designed to address or to exploit the strong autocorrelation and temporal cross correlation structures that are often present in multivariate process data here we propose two alternative projection techniques that do focus on the temporal structure in such data and that therefore produce components that may have some analytical advantages over those resulting from more conventional multivariate methods as in pca both of our suggested methods linearly transform the original p variate time series into uncorrelated components however unlike pca they concentrate on deriving components with particular temporal correlation properties rather than those with maximal variance the first technique fin", "title_raw": "Two Projection Methods for Use in the Analysis of Multivariate Process Data With an Illustration in Petrochemical Production", "abstract_raw": "Principal components analysis (PCA) is often used in the analysis of multivariate process data to identify important combinations of the original variables on which to focus for more detailed study. However, PCA and other related projection techniques from the standard multivariate repertoire are not explicitly designed to address or to exploit the strong autocorrelation and temporal cross-correlation structures that are often present in multivariate process data. Here we propose two alternative projection techniques that do focus on the temporal structure in such data and that therefore produce components that may have some analytical advantages over those resulting from more conventional multivariate methods. As in PCA, both of our suggested methods linearly transform the original p-variate time series into uncorrelated components; however, unlike PCA, they concentrate on deriving components with particular temporal correlation properties, rather than those with maximal variance. The first technique fin..." }, { "paper": "2026552167", "venue": "90727058", "year": "2004", "title": "category theory for operational semantics", "label": [ "105318409", "33577790", "118615104", "54884031", "11821877", "156772000" ], "author": [ "2304961641", "2155055344", "2519764109" ], "reference": [ "1512502927", "1530208688", "1563339455", "1966112122", "1968839148", "2046125711", "2053290352", "2053935943", "2057843304", "2057895129", "2073781357", "2075406361", "2079655821", "2089549471", "2092786729", "2101032471", "2118229393", "2123887510", "2136660485", "2164625502", "2340102009", "2603032606", "2612491528", "2886203768" ], "abstract": "we use the concept of a distributive law of a monad over a copointed endofunctor to define and develop a reformulation and mild generalisation of turi and plotkin s notion of an abstract operational rule we make our abstract definition and give a precise analysis of the relationship between it and turi and plotkin s definition following tuff and plotkin our definition suitably restricted agrees with the notion of a set of gsos rules allowing one to construct both an operational model and a canonical internally fully abstract denotational model going beyond turi and plotkin we construct what might be seen as large step operational semantics from small step operational semantics and we show how our definition allows one to combine distributive laws in particular accounting for the combination of operational semantics with congruences", "title_raw": "Category theory for operational semantics", "abstract_raw": "We use the concept of a distributive law of a monad over a copointed endofunctor to define and develop a reformulation and mild generalisation of Turi and Plotkin's notion of an abstract operational rule. We make our abstract definition and give a precise analysis of the relationship between it and Turi and Plotkin's definition. Following Tuff and Plotkin, our definition, suitably restricted, agrees with the notion of a set of GSOS-rules, allowing one to construct both an operational model and a canonical, internally fully abstract denotational model. Going beyond Turi and Plotkin, we construct what might be seen as large-step operational semantics from small-step operational semantics and we show how our definition allows one to combine distributive laws, in particular accounting for the combination of operational semantics with congruences." }, { "paper": "2051997586", "venue": "169411308", "year": "2004", "title": "urysohn closedness on completely distributive lattices", "label": [ "187062830", "118615104", "11821877", "192606457" ], "author": [ "2155364388", "2001957802" ], "reference": [ "1582269801", "1988233222", "1992427588", "2014001370", "2023175918", "2023743353", "2049686981" ], "abstract": "the purpose of this paper is to investigate the urysohn closedness of co topology on lattices which are not required to have an order reversing involution the concept of urysohn closedness on lattices is introduced and characterizations of urysohn closedness are given in terms of ideals and nets these characterizations are obtained mainly through the introduction of a kind of convergence for ideals and nets that we call l urysohn convergence", "title_raw": "Urysohn closedness on completely distributive lattices", "abstract_raw": "The purpose of this paper is to investigate the Urysohn closedness of co-topology on lattices which are not required to have an order-reversing involution. The concept of Urysohn closedness on lattices is introduced and characterizations of Urysohn closedness are given in terms of ideals and nets. These characterizations are obtained mainly through the introduction of a kind of convergence for ideals and nets that we call L-Urysohn convergence." }, { "paper": "2078532851", "venue": "50372074", "year": "2004", "title": "all solutions of a class of discrete time systems are eventually periodic", "label": [ "34388435", "78045399", "2779554487", "11413529", "158622935", "96314035", "28826006", "2777423538", "164660894", "55689738" ], "author": [ "2635327195", "2776347187" ], "reference": [ "645188663", "1965394829", "2008117223", "2020807870", "2037037095", "2057214015", "2060813275", "2065017968", "2080556585", "2495370765" ], "abstract": "this paper is concerned with a class of discrete time systems as a model for two neurons with no internal decay such a discrete time system can be regarded as the discrete analog of a differential equation with piecewise constant nonlinearity of mcculloch pitts type base on some simple geometric facts we show that all solutions of this discrete time system are eventually periodic", "title_raw": "All solutions of a class of discrete-time systems are eventually periodic", "abstract_raw": "This paper is concerned with a class of discrete-time systems as a model for two neurons with no internal decay. Such a discrete-time system can be regarded as the discrete analog of a differential equation with piecewise constant nonlinearity of McCulloch-Pitts type. Base on some simple geometric facts, we show that all solutions of this discrete-time system are eventually periodic." }, { "paper": "1973628224", "venue": "105693234", "year": "2004", "title": "partial mixing and edgeworth expansion", "label": [ "11505638", "134306372", "138777275", "160817175", "159886148", "43555835", "51955184", "8272713" ], "author": [ "2597235000" ], "reference": [ "66745748", "75263221", "111165780", "163881987", "186368424", "279529119", "601580733", "611756847", "1031912070", "1482196458", "1482876438", "1541801406", "1583938685", "1585439360", "1964872535", "1965186648", "1970699409", "1971847620", "1971851812", "1979070725", "1980591506", "1981187639", "1983452151", "1987112953", "1990559937", "1995039079", "1998292733", "2002269089", "2004707966", "2006362478", "2007336664", "2010937398", "2012124315", "2018276156", "2019857230", "2025087267", "2026417132", "2029460683", "2030301859", "2033295050", "2040380081", "2041316587", "2050637044", "2054263085", "2064493979", "2071201849", "2073746961", "2084525486", "2087505056", "2095387255", "2106730112", "2140971281", "2143606502", "2150093523", "2152956106", "2405714878", "2486408171", "2487248877", "2521050233", "2936537830", "3146807051" ], "abstract": "introducing a conditional mixing property gotze and hipp s theory is generalized to a continuous time conditional markov process satisfying this property the malliavin calculus for jump processes applies to random coefficient stochastic differential equations with jumps with the aid of the support theorem to verify the non degeneracy condition i e a conditional type cramer condition", "title_raw": "Partial mixing and Edgeworth expansion", "abstract_raw": "Introducing a conditional mixing property, Gotze and Hipp\u2019s theory is generalized to a continuous-time conditional \u2208-Markov process satisfying this property. The Malliavin calculus for jump processes applies to random-coefficient stochastic differential equations with jumps with the aid of the support theorem to verify the non-degeneracy condition, i.e., a conditional type Cramer condition." }, { "paper": "2037372135", "venue": "189344224", "year": "2004", "title": "a dual form for discretized kinematic formulation in shakedown analysis", "label": [ "154476725", "135628077", "73000952", "126255220", "158622935", "2779421047", "28826006", "155165730" ], "author": [ "2010518037", "2661863081", "2130236798" ], "reference": [ "1537148567", "1968351046", "1979798053", "1990077238", "2019488781", "2021920765", "2021948214", "2029392260", "2051436241", "2052007081", "2489045476", "3196593121" ], "abstract": "shakedown analysis with the discretization in kinematically admissible finite elements and the use of von mises yield criterion is considered in this paper the shakedown load multiplier formulated by kinematic theorem under nonlinear form is proved to be the primal form of the shakedown load multiplier formulated by static theorem based on this duality an efficient dual algorithm for shakedown analysis of structures is established and implemented connecting with finite element discretization technique some numerical examples are presented", "title_raw": "A dual form for discretized kinematic formulation in shakedown analysis", "abstract_raw": "Shakedown analysis with the discretization in kinematically admissible finite elements and the use of von Mises yield criterion is considered in this paper. The shakedown load multiplier formulated by kinematic theorem under nonlinear form is proved to be the primal form of the shakedown load multiplier formulated by static theorem. Based on this duality, an efficient dual algorithm for shakedown analysis of structures is established and implemented connecting with finite element discretization technique. Some numerical examples are presented." }, { "paper": "1992873171", "venue": "35412551", "year": "2004", "title": "stochastic dynamical model for stock stock correlations", "label": [ "121194460", "117220453", "158693339", "185142706", "105795698" ], "author": [ "2307652968", "2103665629", "423854241" ], "reference": [ "2085317472" ], "abstract": "we propose a model of coupled random walks for stock stock correlations the walks in the model are coupled via a mechanism that the displacement price change of each walk stock is activated by the price gradients over some underlying network we assume that the network has two underlying structures describing the correlations among the stocks of the whole market and among those within individual groups respectively each with a coupling parameter controlling the degree of correlation the model provides the interpretation of the features displayed in the distribution of the eigenvalues for the correlation matrix of real market on the level of time sequences we verify that such modeling indeed gives good fitting for the market data of us stocks", "title_raw": "Stochastic dynamical model for stock-stock correlations.", "abstract_raw": "We propose a model of coupled random walks for stock-stock correlations. The walks in the model are coupled via a mechanism that the displacement (price change) of each walk (stock) is activated by the price gradients over some underlying network. We assume that the network has two underlying structures, describing the correlations among the stocks of the whole market and among those within individual groups, respectively, each with a coupling parameter controlling the degree of correlation. The model provides the interpretation of the features displayed in the distribution of the eigenvalues for the correlation matrix of real market on the level of time sequences. We verify that such modeling indeed gives good fitting for the market data of US stocks." }, { "paper": "1978142453", "venue": "79244937", "year": "2004", "title": "renormalization methods a guide for beginners", "label": [ "115047598", "166124518", "207740291", "164154869", "65574998", "68532491" ], "author": [ "2669831801" ], "reference": [], "abstract": "the stated goal of this book is to fill a perceived gap between undergraduate texts on critical phenomena and advanced texts on quantum field theory in the general area of renormalization methods it is debatable whether this gap really exists nowadays as a number of books have appeared in which it is made clear that field theoretic renormalization group methods are not the preserve of particle theory and indeed are far more easily appreciated in the contexts of statistical and condensed matter physics nevertheless this volume does have a fresh aspect to it perhaps because of the author s background in fluid dynamics and turbulence theory rather than through the more traditional migration from particle physics the book begins at a very elementary level in an effort to motivate the use of renormalization methods this is a worthy effort but it is likely that most of this section will be thought too elementary by readers wanting to get their teeth into the subject while those for whom this section is apparently written are likely to find the later chapters rather challenging the author s particular approach then leads him to emphasise the role of renormalized perturbation theory rather than the renormalization group in a number of problems including non linear systems and turbulence some of these ideas will be novel and perhaps even surprising to traditionally trained field theorists most of the rest of the book is on far more familiar territory the momentum space renormalization group epsilon expansion and so on this is standard stuff and like many other textbooks it takes a considerable chunk of the book to explain all the formalism as a result there is only space to discuss the standard 4 field theory as applied to the ising model even the n vector model is not covered so that no impression is conveyed of the power and extent of all the applications and generalizations of the techniques it is regrettable that so much space is spent on rather oversimplified and unrelated models in the first part of the book that in the end the reader is left breathless on the threshold of the really interesting material despite the earlier emphasis on the application of renormalization ideas in dynamics in the end the full power of the field theoretical approach is not applied to the obvious arena of dynamic critical phenomena where there certainly is currently a gap in the literature but to the navier stokes equations the development of the book is somewhat illogical in places mean field theory interrupts discussion of block spin methods and scaling arguments the two are distinct approaches the callan symanzik equation is introduced before feynman diagrams are explained so that there is a hiatus before the actual results for the critical exponents can be found i think this book is too broad in some respects and too limited in others to be a really useful textbook for a course on renormalization methods those who have learned these ideas either from field theory or from nonlinear systems will find it more rewarding for the sections covering the topics with which they are less familiar for this reason alone the book should at least find a place on most library reference shelves", "title_raw": "Renormalization Methods---A Guide For Beginners", "abstract_raw": "The stated goal of this book is to fill a perceived gap between undergraduate texts on critical phenomena and advanced texts on quantum field theory, in the general area of renormalization methods. It is debatable whether this gap really exists nowadays, as a number of books have appeared in which it is made clear that field-theoretic renormalization group methods are not the preserve of particle theory, and indeed are far more easily appreciated in the contexts of statistical and condensed matter physics. Nevertheless, this volume does have a fresh aspect to it, perhaps because of the author's background in fluid dynamics and turbulence theory, rather than through the more traditional migration from particle physics. The book begins at a very elementary level, in an effort to motivate the use of renormalization methods. This is a worthy effort, but it is likely that most of this section will be thought too elementary by readers wanting to get their teeth into the subject, while those for whom this section is apparently written are likely to find the later chapters rather challenging. The author's particular approach then leads him to emphasise the role of renormalized perturbation theory (rather than the renormalization group) in a number of problems, including non-linear systems and turbulence. Some of these ideas will be novel and perhaps even surprising to traditionally trained field theorists. Most of the rest of the book is on far more familiar territory: the momentum-space renormalization group, epsilon-expansion, and so on. This is standard stuff, and, like many other textbooks, it takes a considerable chunk of the book to explain all the formalism. As a result, there is only space to discuss the standard 4 field theory as applied to the Ising model (even the N-vector model is not covered) so that no impression is conveyed of the power and extent of all the applications and generalizations of the techniques. It is regrettable that so much space is spent on rather oversimplified and unrelated models in the first part of the book that, in the end, the reader is left breathless on the threshold of the really interesting material. Despite the earlier emphasis on the application of renormalization ideas in dynamics, in the end the full power of the field-theoretical approach is not applied to the obvious arena of dynamic critical phenomena (where there certainly is currently a gap in the literature) but to the Navier--Stokes equations. The development of the book is somewhat illogical in places. Mean field theory interrupts discussion of block spin methods and scaling arguments---the two are distinct approaches. The Callan--Symanzik equation is introduced before Feynman diagrams are explained, so that there is a hiatus before the actual results for the critical exponents can be found. I think this book is too broad in some respects, and too limited in others, to be a really useful textbook for a course on renormalization methods. Those who have learned these ideas either from field theory, or from nonlinear systems, will find it more rewarding for the sections covering the topics with which they are less familiar. For this reason alone, the book should at least find a place on most library reference shelves." }, { "paper": "2056404728", "venue": "897311980", "year": "2004", "title": "linear hamiltonian behaviors and bilinear differential forms", "label": [ "8828549", "28826006", "115071613", "121770821", "75894275", "78045399", "26959085", "130787639", "134306372" ], "author": [ "1968712122", "2161387009" ], "reference": [ "203685119", "1563705581", "1956083829", "1964373008", "1971678428", "1983696948", "2029692625", "2049655840", "2068002984", "2079210609", "2081940784", "2088842637", "2092907184", "2108093366", "2117837642", "2126479355", "2128978199", "2135404129", "2145952774", "2176175198", "2177207193", "2755764480", "2798813531" ], "abstract": "we study linear hamiltonian systems using bilinear and quadratic differential forms such a representation free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher order differential equations thus dispensing with the usual point of view in classical mechanics of considering first and second order differential equations only", "title_raw": "Linear Hamiltonian Behaviors and Bilinear Differential Forms", "abstract_raw": "We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher-order differential equations, thus dispensing with the usual point of view in classical mechanics of considering first- and second-order differential equations only." }, { "paper": "2154883503", "venue": "54953690", "year": "2004", "title": "asymptotics of the heat exchange", "label": [ "45340560", "114614502", "186450821" ], "author": [ "2099531604" ], "reference": [ "1482455015", "1996848016", "2020955991", "2035607909", "2040404823", "2063099098", "2077140021", "2081924675", "2087430111", "2158825819" ], "abstract": "abstract let k be a compact subset in euclidean space r m and let e k t denote the total amount of heat in r m k at time t if k is kept at fixed temperature 1 for all t 0 and if r m k has initial temperature 0 for two disjoint compact subsets k 1 and k 2 we define the heat exchange h k 1 k 2 t e k 1 t e k 2 t e k 1 k 2 t we obtain the leading asymptotic behaviour of h k 1 k 2 t as t 0 under mild regularity conditions on k 1 and k 2", "title_raw": "Asymptotics of the heat exchange", "abstract_raw": "Abstract Let K be a compact subset in Euclidean space R m , and let E K ( t ) denote the total amount of heat in R m \u29f9K at time t , if K is kept at fixed temperature 1 for all t \u2a7e0, and if R m \u29f9K has initial temperature 0. For two disjoint compact subsets K 1 and K 2 we define the heat exchange H K 1 , K 2 ( t )= E K 1 ( t )+ E K 2 ( t )\u2212 E K 1 \u222a K 2 ( t ). We obtain the leading asymptotic behaviour of H K 1 , K 2 ( t ) as t \u21920 under mild regularity conditions on K 1 and K 2 ." }, { "paper": "2035240682", "venue": "184147796", "year": "2004", "title": "cellular bases for the brauer and birman murakami wenzl algebras", "label": [ "14394260", "138354692", "125565743", "2777682570", "62196294", "2780906023", "100899422", "23281594", "48605111", "202444582" ], "author": [ "2664813961" ], "reference": [ "1513992157", "1990992940", "1994510361", "2054222312", "2065379892", "2086812091", "2120207347", "2162841947", "2324197804", "2551062702" ], "abstract": "abstract an explicit combinatorial construction is given for cellular bases in the sense of graham and lehrer for the birman murakami wenzl and brauer algebra we provide cell modules for the birman murakami wenzl and brauer algebras with bases index by certain bitableaux generalising the murphy basis for the specht modules of the iwahori hecke algebra of the symmetric group the bases for the cell modules given here are constructed non diagrammatically and hence are relatively amenable to computation", "title_raw": "Cellular bases for the Brauer and Birman\u2013Murakami\u2013Wenzl algebras", "abstract_raw": "Abstract An explicit combinatorial construction is given for cellular bases (in the sense of Graham and Lehrer) for the Birman\u2013Murakami\u2013Wenzl and Brauer algebra. We provide cell modules for the Birman\u2013Murakami\u2013Wenzl and Brauer algebras with bases index by certain bitableaux, generalising the Murphy basis for the Specht modules of the Iwahori\u2013Hecke algebra of the symmetric group. The bases for the cell modules given here are constructed non-diagrammatically and hence are relatively amenable to computation." }, { "paper": "2003113294", "venue": "165651092", "year": "2004", "title": "a contact algorithm for the signorini problem using space time finite elements", "label": [ "11413529", "62354387", "182310444", "135628077", "73000952", "17378031", "51544822", "2781467578" ], "author": [ "2697547741", "694905301" ], "reference": [], "abstract": "the most common approach in the finite element modelling of continuum systems over space and time is to employ the finite element discretization over the spatial domain to reduce the problem to a system of ordinary differential equations in time the desired time integration scheme can then be used to step across the so called time slabs mesh configurations in which every element shares the same degree of time refinement these techniques may become inefficient when the nature of the initial boundary value problem is such that a high degree of time refinement is required only in specific spatial regions of the mesh ideally one would be able to increase the time refinement only in those necessary regions we achieve this flexibility by employing space time elements with independent interpolation functions in both space and time our method is used to examine the classic contact problem of signorini and allows us to increase the time refinement only in the spatial region adjacent to the contact interface we also develop an interface tracking algorithm that tracks the contact boundary through the space time mesh and compare our results with those of hertz contact theory copyright 2004 john wiley sons ltd", "title_raw": "A contact algorithm for the Signorini problem using space\u2013time finite elements", "abstract_raw": "The most common approach in the finite-element modelling of continuum systems over space and time is to employ the finite-element discretization over the spatial domain to reduce the problem to a system of ordinary differential equations in time. The desired time integration scheme can then be used to step across the so-called time slabs, mesh configurations in which every element shares the same degree of time refinement. These techniques may become inefficient when the nature of the initial boundary value problem is such that a high degree of time refinement is required only in specific spatial regions of the mesh. Ideally one would be able to increase the time refinement only in those necessary regions. We achieve this flexibility by employing space\u2013time elements with independent interpolation functions in both space and time. Our method is used to examine the classic contact problem of Signorini and allows us to increase the time refinement only in the spatial region adjacent to the contact interface. We also develop an interface-tracking algorithm that tracks the contact boundary through the space\u2013time mesh and compare our results with those of Hertz contact theory. Copyright 2004 John Wiley & Sons, Ltd." }, { "paper": "2161710599", "venue": "42080949", "year": "2004", "title": "a constructive approach for finding arbitrary roots of polynomials by neural networks", "label": [ "28826006", "179799912", "44563069", "90119067" ], "author": [ "2270395263" ], "reference": [ "1552099800", "1785317287", "1837869791", "1950333925", "1967628877", "1976868833", "1994285459", "1996276667", "1996647346", "2013297371", "2018198603", "2018493531", "2030139351", "2035155528", "2044526112", "2056371210", "2074423106", "2078376347", "2089466665", "2128904028", "2131657121", "2133671888", "2150634210", "2163238394", "2253111707", "2541750326", "2766736793" ], "abstract": "this paper proposes a constructive approach for finding arbitrary real or complex roots of arbitrary real or complex polynomials by multilayer perceptron network mlpn using constrained learning algorithm cla which encodes the a priori information of constraint relations between root moments and coefficients of a polynomial into the usual bp algorithm bpa moreover the root moment method rmm is also simplified into a recursive version so that the computational complexity can be further decreased which leads the roots of those higher order polynomials to be readily found in addition an adaptive learning parameter with the cla is also proposed in this paper an initial weight selection method is also given finally several experimental results show that our proposed neural connectionism approaches with respect to the nonneural ones are more efficient and feasible in finding the arbitrary roots of arbitrary polynomials", "title_raw": "A constructive approach for finding arbitrary roots of polynomials by neural networks", "abstract_raw": "This paper proposes a constructive approach for finding arbitrary (real or complex) roots of arbitrary (real or complex) polynomials by multilayer perceptron network (MLPN) using constrained learning algorithm (CLA), which encodes the a priori information of constraint relations between root moments and coefficients of a polynomial into the usual BP algorithm (BPA). Moreover, the root moment method (RMM) is also simplified into a recursive version so that the computational complexity can be further decreased, which leads the roots of those higher order polynomials to be readily found. In addition, an adaptive learning parameter with the CLA is also proposed in this paper; an initial weight selection method is also given. Finally, several experimental results show that our proposed neural connectionism approaches, with respect to the nonneural ones, are more efficient and feasible in finding the arbitrary roots of arbitrary polynomials." }, { "paper": "1973078475", "venue": "200871675", "year": "2004", "title": "dimension of measures invariant with respect to the wazewska partial differential equation", "label": [ "134306372", "64057670", "84629840", "111615704", "186867907", "93779851", "54067925", "78045399", "155237215" ], "author": [ "2082400636", "2797075443" ], "reference": [ "238209004", "1969862788", "1988635702", "2003541147", "2016909427", "2056401206", "2132328026", "2339378878", "2567326095" ], "abstract": "abstract we study asymptotic properties of a nonlinear first order partial differential equation which describes the reproduction of blood cells this equation under conditions proposed by wazewska generates a semigroup of transformations with highly chaotic behaviour of trajectories we show that this semigroup has invariant measures with arbitrary large dimension", "title_raw": "Dimension of measures invariant with respect to the Wa\u017cewska partial differential equation", "abstract_raw": "Abstract We study asymptotic properties of a nonlinear first-order partial differential equation which describes the reproduction of blood cells. This equation under conditions proposed by Wazewska generates a semigroup of transformations with highly chaotic behaviour of trajectories. We show that this semigroup has invariant measures with arbitrary large dimension." }, { "paper": "2129503562", "venue": "189344224", "year": "2004", "title": "analytical solution for the cylindrical bending vibration of piezoelectric composite plates", "label": [ "27753989", "2524010", "182310444", "29320194", "207864730", "134306372" ], "author": [ "2122542059", "2976089557", "2559413116" ], "reference": [ "924177746", "1842615095", "1966282486", "1967888889", "2006579716", "2009093382", "2014406018", "2019442299", "2019987952", "2026083510", "2032194604", "2032398501", "2036776084", "2040344585", "2042655721", "2044875197", "2059923001", "2063124254", "2065066365", "2078831967", "2079681409", "2082104460", "2089193183", "2091710624", "2093263328", "2094897091", "2097457268", "2110190769", "2114002214", "2116139937", "2132157937", "2148649786", "2157532773", "2217270754", "2254191882" ], "abstract": "an analytical solution for the cylindrical bending vibrations of linear piezoelectric laminated plates is obtained by extending the stroh formalism to the generalized plane strain vibrations of piezoelectric materials the laminated plate consists of homogeneous elastic or piezoelectric laminae of arbitrary thickness and width fourier basis functions for the mechanical displacements and electric potential that identically satisfy the equations of motion and the charge equation of electrostatics are used to solve boundary value problems via the superposition principle the coefficients in the infinite series solution are determined from the boundary conditions at the edges and continuity conditions at the interfaces between laminae which are satisfied in the sense of fourier series the formulation admits different boundary conditions at the edges of the laminated piezoelectric composite plate results for laminated elastic plates with either distributed or segmented piezoelectric actuators are presented for different sets of boundary conditions at the edges 2003 elsevier ltd all rights reserved", "title_raw": "Analytical solution for the cylindrical bending vibration of piezoelectric composite plates", "abstract_raw": "An analytical solution for the cylindrical bending vibrations of linear piezoelectric laminated plates is obtained by extending the Stroh formalism to the generalized plane strain vibrations of piezoelectric materials. The laminated plate consists of homogeneous elastic or piezoelectric laminae of arbitrary thickness and width. Fourier basis functions for the mechanical displacements and electric potential that identically satisfy the equations of motion and the charge equation of electrostatics are used to solve boundary value problems via the superposition principle. The coefficients in the infinite series solution are determined from the boundary conditions at the edges and continuity conditions at the interfaces between laminae, which are satisfied in the sense of Fourier series. The formulation admits different boundary conditions at the edges of the laminated piezoelectric composite plate. Results for laminated elastic plates with either distributed or segmented piezoelectric actuators are presented for different sets of boundary conditions at the edges. \ufffd 2003 Elsevier Ltd. All rights reserved." }, { "paper": "2159963587", "venue": "207023548", "year": "2004", "title": "asymptotic properties of the fisher kernel", "label": [ "195699287", "134517425", "207798031", "28826006", "206157372", "59345033", "75938311", "181367576", "98234853" ], "author": [ "1858955830", "2589577", "2072849696", "2012736320" ], "reference": [ "1512558044", "1528905581", "1545344782", "1563088657", "1564947197", "1572659166", "1573082642", "1574877594", "1601740268", "1603339577", "1692895552", "1984929054", "1994720204", "2037761619", "2038390905", "2042161430", "2068448872", "2079782346", "2085536277", "2090614046", "2106868411", "2108146080", "2108995755", "2114281975", "2120217353", "2123152930", "2136112386", "2140409019", "2148603752", "2150796457", "2150872430", "2156909104", "2158529569", "2161813919", "2165758113", "2166473218", "2345813284", "2767905780", "3023786531" ], "abstract": "this letter analyzes the fisher kernel from a statistical point of view the fisher kernel is a particularly interesting method for constructing a model of the posterior probability that makes intelligent use of unlabeled data i e of the underlying data density it is important to analyze and ultimately understand the statistical properties of the fisher kernel to this end we first establish sufficient conditions that the constructed posterior model is realizable i e it contains the true distribution realizability immediately leads to consistency results subsequently we focus on an asymptotic analysis of the generalization error which elucidates the learning curves of the fisher kernel and how unlabeled data contribute to learning we also point out that the squared or log loss is theoretically preferable because both yield consistent estimators to other losses such as the exponential loss when a linear classifier is used together with the fisher kernel therefore this letter underlines that the fisher kernel should be viewed not as a heuristics but as a powerful statistical tool with well controlled statistical properties", "title_raw": "Asymptotic properties of the Fisher kernel", "abstract_raw": "This letter analyzes the Fisher kernel from a statistical point of view. The Fisher kernel is a particularly interesting method for constructing a model of the posterior probability that makes intelligent use of unlabeled data (i.e., of the underlying data density). It is important to analyze and ultimately understand the statistical properties of the Fisher kernel. To this end, we first establish sufficient conditions that the constructed posterior model is realizable (i.e., it contains the true distribution). Realizability immediately leads to consistency results. Subsequently, we focus on an asymptotic analysis of the generalization error, which elucidates the learning curves of the Fisher kernel and how unlabeled data contribute to learning. We also point out that the squared or log loss is theoretically preferable--because both yield consistent estimators--to other losses such as the exponential loss, when a linear classifier is used together with the Fisher kernel. Therefore, this letter underlines that the Fisher kernel should be viewed not as a heuristics but as a powerful statistical tool with well-controlled statistical properties." }, { "paper": "2073403765", "venue": "73535193", "year": "2004", "title": "convex power domain and vietoris space", "label": [ "49870271", "12108790", "114614502", "200661725", "36503486", "58385900", "111110010", "134306372", "206194317" ], "author": [ "2803864284", "2682026468" ], "reference": [ "1582269801", "1696720702", "1984190214", "2028924965", "2049317316", "2062024564", "2914212232" ], "abstract": "abstract in this paper the maximal point spaces mp space in short of convex power domains are investigated some characterizations of the maximal points of convex power domains are obtained it is proved that for a scott compact continuous domain d convex power domain c d is a domain hull of its maximal points max c d if each element of max c d is generated by a compact subset of max d in this case the space max c d can be identified with the compact subsets com max d of max d and the vietoris topology on com max d is the topology inherited from the convex power domain finally an example is given to show that even for a weakly compact continuous domain its convex power domain need not be a domain hull of the maximal points", "title_raw": "Convex power domain and vietoris space", "abstract_raw": "Abstract In this paper, the maximal point spaces (MP-space in short) of convex power domains are investigated. Some characterizations of the maximal points of convex power domains are obtained. It is proved that for a Scott compact continuous domain D , convex power domain C(D) is a domain hull of its maximal points Max( C(D) ) if each element of Max( C(D) ) is generated by a compact subset of Max( D ). In this case, the space Max(C(D)) can be identified with the compact subsets Com(Max( D )) of Max( D ) and the Vietoris topology on Com(Max( D )) is the topology inherited from the convex power domain. Finally, an example is given to show that even for a weakly compact continuous domain, its convex power domain need not be a domain hull of the maximal points." }, { "paper": "1971240108", "venue": "185067381", "year": "2004", "title": "stable equilibrium based on levy statistics a linear boltzmann equation approach", "label": [ "87040749" ], "author": [ "2065771602" ], "reference": [ "1018608622", "1502983103", "1532647343", "1560218371", "1561362429", "1567626978", "1718636838", "1966298944", "1972224153", "1983874169", "1986091197", "1986257969", "1987720485", "1987896239", "1992026911", "1993912088", "1994522794", "1995326101", "2001411492", "2004517176", "2009034280", "2012029574", "2016437223", "2017401154", "2018524591", "2019692923", "2021899331", "2025027639", "2027030052", "2034651058", "2036658802", "2044395803", "2045514685", "2045867171", "2046396295", "2051939307", "2053324351", "2055922934", "2059259690", "2062517214", "2064361774", "2064448314", "2064975723", "2070716540", "2080003368", "2102787760", "2111271983", "2120928577", "2158903579", "2317997851", "2567202036", "2751862591", "2761540959", "3008437073", "3010782316", "3016324951", "3103091348", "3103266798", "3132128116" ], "abstract": "to obtain further insight on possible power law generalizations of boltzmann equilibrium concepts we consider stochastic collision models the models are a generalization of the rayleigh collision model for a heavy one dimensional particle m interacting with ideal gas particles with a mass m m similar to previous approaches we assume elastic uncorrelated and impulsive collisions we let the bath particle velocity distribution function to be of general form namely we do not postulate a specific form of power law equilibrium we show under certain conditions that the velocity distribution function of the heavy particle is levy stable the maxwellian distribution being a special case we demonstrate our results with numerical examples the relation of the power law equilibrium obtained here to thermodynamics is discussed in particular we compare between two models a thermodynamic and an energy scaling approaches these models yield insight into questions like the meaning of temperature for power law equilibrium and into the issue of the universality of the equilibrium i e is the width of the generalized maxwellian distribution functions obtained here independent of coupling constant to the bath", "title_raw": "Stable Equilibrium Based on L\u00e9vy Statistics: A Linear Boltzmann Equation Approach", "abstract_raw": "To obtain further insight on possible power law generalizations of Boltzmann equilibrium concepts, we consider stochastic collision models. The models are a generalization of the Rayleigh collision model, for a heavy one dimensional particle M interacting with ideal gas particles with a mass m<0. Using this estimate, the convergence to an N-wave is proved for sign changing solutions and the theoretical gap in asymptotic convergence of the corresponding problem is filled." }, { "paper": "1989077213", "venue": "928796702", "year": "2004", "title": "on first and second order conditions linebreak for error bounds", "label": [ "2776426709", "114614502", "58442840", "93361540", "166437778", "114460028", "132954091" ], "author": [ "2637148109", "2696054812" ], "reference": [ "1551360398", "1972617480", "1975468976", "1978527164", "1983871704", "1984701269", "1986606318", "2000120257", "2001598548", "2014091520", "2015209305", "2042979635", "2080706596", "2082451773", "2124768482", "2145867192", "2157170476" ], "abstract": "we establish first order and second order sufficient conditions ensuring that a proper lower semicontinuous function f on a banach space x has an error bound we also consider similar problems with constraint namely that f is replaced by its restriction to a subset of x these results are employed to identify exactly when a quadratic function on x has an error bound", "title_raw": "On First- and Second-Order Conditions\\linebreak for Error Bounds", "abstract_raw": "We establish first-order and second-order sufficient conditions ensuring that a proper lower semicontinuous function f on a Banach space X has an error bound. We also consider similar problems with constraint, namely, that f is replaced by its restriction to a subset of X. These results are employed to identify exactly when a quadratic function on X has an error bound." }, { "paper": "2013202286", "venue": "54953690", "year": "2004", "title": "mapping class groups and outer automorphism groups of free groups are c simple", "label": [ "155190451", "160826032", "124453015", "7619685", "114614502", "51997251", "128622974", "103756818", "165637685" ], "author": [ "701618649", "379186325" ], "reference": [ "54401119", "91153124", "168639935", "560085798", "656000518", "800888545", "1496572257", "1898556506", "1964285968", "1970376392", "1971745120", "1978757323", "1982407034", "1983883140", "1989312691", "1992113740", "2004967419", "2011623035", "2023541794", "2031571526", "2032220545", "2034592120", "2036038950", "2040034546", "2040589863", "2047753277", "2075884549", "2089644649", "2093027946", "2148944870", "2172213898", "2963131344" ], "abstract": "abstract we prove that the reduced c algebras of centerless mapping class groups and outer automorphism groups of free groups are simple as are the irreducible pure subgroups of mapping class groups and the analogous subgroups of outer automorphism groups of free groups", "title_raw": "Mapping class groups and outer automorphism groups of free groups are C*-simple", "abstract_raw": "Abstract We prove that the reduced C \u2217 -algebras of centerless mapping class groups and outer automorphism groups of free groups are simple, as are the irreducible pure subgroups of mapping class groups and the analogous subgroups of outer automorphism groups of free groups." }, { "paper": "1536005852", "venue": "60030702", "year": "2004", "title": "on the complexity of the integral closure", "label": [ "143904861", "103642545", "118615104", "161491579", "173435730", "156004811", "45374587", "92757383", "186345751" ], "author": [ "2172489101", "2082954076" ], "reference": [ "1519801683", "1535646580", "1781640942", "1968093322", "1969412256", "1978820534", "1997381229", "1997502503", "1997601655", "2020004355", "2027980023", "2047322663", "2050280654", "2054356605", "2061814701", "2063191164", "2069832610", "2091249048", "2097003695", "2129470340", "2132202780", "2153702782", "2316605989", "2327162874", "2334322021", "2794015277" ], "abstract": "the computation of the integral closure of an affine ring has been the focus of several modern algorithms we will treat here one related problem the number of generators the integral closure of an affine ring may require this number and the degrees of the generators in the graded case are major measures of cost of the computation we prove several polynomial type bounds for various kinds of algebras and establish in characteristic zero an exponential type bound for homogeneous algebras with a small singular locus", "title_raw": "On the complexity of the integral closure", "abstract_raw": "The computation of the integral closure of an affine ring has been the focus of several modern algorithms. We will treat here one related problem: the number of generators the integral closure of an affine ring may require. This number, and the degrees of the generators in the graded case, are major measures of cost of the computation. We prove several polynomial type bounds for various kinds of algebras, and establish in characteristic zero an exponential type bound for homogeneous algebras with a small singular locus." }, { "paper": "2001520598", "venue": "184147796", "year": "2004", "title": "grothendieck rings of laurent series fields", "label": [ "118615104", "47030870", "184311908", "202444582", "47884741", "198352243", "48659774" ], "author": [ "184873114" ], "reference": [ "138035585", "1514429014", "1979137081", "2033498708", "2131242042", "2148273222", "2162052349", "2963837590" ], "abstract": "we study grothendieck rings in the sense of model theory of fields extending previous work of haskell and the author in r cluckers d haskell bull symbolic logic 7 2 2001 262 269 we construct definable bijections from the line to the line minus one point in the language of rings for valued fields like fields of formal laurent series over p adic numbers and fields of formal laurent series over local fields of strictly positive characteristic it follows that the grothendieck rings of these fields are trivial", "title_raw": "Grothendieck rings of Laurent series fields", "abstract_raw": "We study Grothendieck rings (in the sense of model theory) of fields, extending previous work of Haskell and the author in [R. Cluckers, D. Haskell, Bull. Symbolic Logic 7 (2) (2001) 262\u2013269]. We construct definable bijections from the line to the line minus one point in the language of rings for valued fields like fields of formal Laurent series over p-adic numbers and fields of formal Laurent series over local fields of strictly positive characteristic. It follows that the Grothendieck rings of these fields are trivial." }, { "paper": "2026379440", "venue": "185067381", "year": "2004", "title": "general non existence theorem for phase transitions in one dimensional systems with short range interactions and physical examples of such transitions", "label": [ "2776548862", "33577790", "142805521", "2779545769", "68227491", "194145944" ], "author": [ "2141973658", "2251174002" ], "reference": [ "162457275", "220251402", "573614513", "1487444668", "1512350201", "1540380506", "1553236419", "1572331735", "1575147392", "1582592707", "1963510085", "1964095231", "1979705523", "2001795831", "2006122586", "2021850267", "2024385835", "2033538616", "2049974188", "2060457947", "2061488127", "2072804782", "2094553393", "2122781239", "2124423832", "2478736760", "2610857016", "3003303647" ], "abstract": "we examine critically the issue of phase transitions in one dimensional systems with short range interactions we begin by reviewing in detail the most famous non existence result namely van hove s theorem emphasizing its hypothesis and subsequently its limited range of applicability to further underscore this point we present several examples of one dimensional short ranged models that exhibit true thermodynamic phase transitions with increasing level of complexity and closeness to reality thus having made clear the necessity for a result broader than van hove s theorem we set out to prove such a general non existence theorem widening largely the class of models known to be free of phase transitions the theorem is presented from a rigorous mathematical point of view although examples of the framework corresponding to usual physical systems are given along the way we close the paper with a discussion in more physical terms of the implications of this non existence theorem", "title_raw": "General Non-Existence Theorem for Phase Transitions in One-Dimensional Systems with Short Range Interactions, and Physical Examples of Such Transitions", "abstract_raw": "We examine critically the issue of phase transitions in one-dimensional systems with short range interactions. We begin by reviewing in detail the most famous non-existence result, namely van Hove's theorem, emphasizing its hypothesis and subsequently its limited range of applicability. To further underscore this point, we present several examples of one-dimensional short ranged models that exhibit true, thermodynamic phase transitions, with increasing level of complexity and closeness to reality. Thus having made clear the necessity for a result broader than van Hove's theorem, we set out to prove such a general non-existence theorem, widening largely the class of models known to be free of phase transitions. The theorem is presented from a rigorous mathematical point of view although examples of the framework corresponding to usual physical systems are given along the way. We close the paper with a discussion in more physical terms of the implications of this non-existence theorem." }, { "paper": "2088533723", "venue": "165473669", "year": "2004", "title": "a perturbation based analysis to investigate forced convection in a porous saturated tube", "label": [ "11683690" ], "author": [ "1907439478", "391171114" ], "reference": [ "1531208776", "1662091431", "1974838749", "2003242161", "2053590982", "2058458024", "2149988879", "2166908675" ], "abstract": "fully developed laminar steady forced convection inside a circular tube filled with saturated porous medium and with uniform heat flux at the wall is investigated on the basis of a brinkman model which is appropriate for hyperporous materials which are of current practical importance the wkb method is applied for small values of the darcy number for the case of large darcy number the solution for the brinkman momentum equation is found in terms of an asymptotic expansion with the velocity distribution determined the energy equation is solved using the same asymptotic technique the results for limiting cases were found to be in good agreement with those available in the open literature", "title_raw": "A perturbation based analysis to investigate forced convection in a porous saturated tube", "abstract_raw": "Fully developed laminar steady forced convection inside a circular tube filled with saturated porous medium and with uniform heat flux at the wall is investigated on the basis of a Brinkman model which is appropriate for hyperporous materials which are of current practical importance. The \"WKB method\" is applied for small values of the Darcy number. For the case of large Darcy number, the solution for the Brinkman momentum equation is found in terms of an asymptotic expansion. With the velocity distribution determined, the energy equation is solved using the same asymptotic technique. The results for limiting cases were found to be in good agreement with those available in the open literature." }, { "paper": "2072565885", "venue": "159544283", "year": "2004", "title": "optimal frames for erasures", "label": [ "2776204677", "113709454", "11413529" ], "author": [ "2369859817", "647600603" ], "reference": [ "39752266", "1599914714", "1963682089", "1966245736", "1969872346", "1976318178", "1982544001", "1989237304", "1995990042", "2032552241", "2035469609", "2045842434", "2064034210", "2079567841", "2100395640", "2104095193", "2131824481", "2171248827", "2182304189", "2949816938", "2950473394", "3049457518" ], "abstract": "we study frames from the viewpoint of coding theory we introduce a numerical measure of how well a frame reconstructs vectors when some of the frame coefficients of a vector are lost and then attempt to find and classify the frames that are optimal in this setting", "title_raw": "Optimal frames for erasures", "abstract_raw": "We study frames from the viewpoint of coding theory. We introduce a numerical measure of how well a frame reconstructs vectors when some of the frame coefficients of a vector are lost and then attempt to find and classify the frames that are optimal in this setting." }, { "paper": "2165015795", "venue": "199944782", "year": "2004", "title": "image enhancement and denoising by complex diffusion processes", "label": [ "134306372", "203504353", "179117685", "93779851", "99102927", "55128770" ], "author": [ "1678772719", "320773650", "305509933" ], "reference": [ "40037269", "168413062", "1489026741", "1556482176", "1571699948", "1969010559", "1969606562", "1974945857", "1979303800", "1989491465", "2022735534", "2041181954", "2047625347", "2057220024", "2065164181", "2086126894", "2096684483", "2103504761", "2103559027", "2108944658", "2109863423", "2118839435", "2120959665", "2128339594", "2134886394", "2150134853", "2152838595", "2163548944", "2489632252", "2973818247", "3149128780" ], "abstract": "the linear and nonlinear scale spaces generated by the inherently real valued diffusion equation are generalized to complex diffusion processes by incorporating the free schrodinger equation a fundamental solution for the linear case of the complex diffusion equation is developed analysis of its behavior shows that the generalized diffusion process combines properties of both forward and inverse diffusion we prove that the imaginary part is a smoothed second derivative scaled by time when the complex diffusion coefficient approaches the real axis based on this observation we develop two examples of nonlinear complex processes useful in image processing a regularized shock filter for image enhancement and a ramp preserving denoising process", "title_raw": "Image enhancement and denoising by complex diffusion processes", "abstract_raw": "The linear and nonlinear scale spaces, generated by the inherently real-valued diffusion equation, are generalized to complex diffusion processes, by incorporating the free Schrodinger equation. A fundamental solution for the linear case of the complex diffusion equation is developed. Analysis of its behavior shows that the generalized diffusion process combines properties of both forward and inverse diffusion. We prove that the imaginary part is a smoothed second derivative, scaled by time, when the complex diffusion coefficient approaches the real axis. Based on this observation, we develop two examples of nonlinear complex processes, useful in image processing: a regularized shock filter for image enhancement and a ramp preserving denoising process." }, { "paper": "2017148941", "venue": "414566", "year": "2004", "title": "three dimensional euclidean distance transformation and its application to shortest path planning", "label": [ "170836113", "11413529", "70266271", "22590252", "114614502", "119971455", "168451585", "120174047", "178067994", "54385418" ], "author": [ "1847986289", "2195359028" ], "reference": [ "101508493", "1973965874", "1976947443", "2024403195", "2036141792", "2036817360", "2051603011", "2078059979", "2078466363", "2078978762", "2090170700", "2113411250", "2144819133", "2150500908", "2161059615", "2164741953" ], "abstract": "in this paper we present a novel method to obtain the three dimensional euclidean distance transformation edt in two scans of the image the shortest path can be extracted based on the distance maps using the minimum value tracing the edt is obtained correctly and efficiently in a constant time for arbitrary types of images including the existence of obstacles by adopting the new dynamically rotational mathematical morphology we not only guarantee the collision free in the shortest path but also reduce the time complexity dramatically", "title_raw": "Three-dimensional Euclidean distance transformation and its application to shortest path planning", "abstract_raw": "In this paper, we present a novel method to obtain the three-dimensional Euclidean distance transformation (EDT) in two scans of the image. The shortest path can be extracted based on the distance maps using the minimum value tracing. The EDT is obtained correctly and efficiently in a constant time for arbitrary types of images, including the existence of obstacles. By adopting the new dynamically rotational mathematical morphology, we not only guarantee the collision-free in the shortest path, but also reduce the time complexity dramatically." }, { "paper": "2089937959", "venue": "192650101", "year": "2004", "title": "lacunary strongly \u03b4 convergent sequences of fuzzy numbers", "label": [ "63356602", "94375191", "118615104" ], "author": [ "2154158107" ], "reference": [ "1972994267", "2041701747", "2093724670", "2150080768", "2159079004", "2189982406" ], "abstract": "in this paper we introduce and study lacunary strongly summable and lacunary statistically convergent of sequences of fury numbers also the inclusion relations between the sets of lacunary strongly convergent and lacunary statistically convergent sequences of fuzzy numbers", "title_raw": "Lacunary strongly \u0394-convergent sequences of fuzzy numbers", "abstract_raw": "In this paper we introduce and study lacunary strongly \u0394-summable and lacunary \u0394-statistically convergent of sequences of fury numbers. Also the inclusion relations between the sets of lacunary strongly \u0394-convergent and lacunary statistically \u0394-convergent sequences of fuzzy numbers." }, { "paper": "2165167495", "venue": "169411308", "year": "2004", "title": "ditopological texture spaces and fuzzy topology i basic concepts", "label": [ "56081698", "202444582", "156772000", "153778094", "5274069", "137212723", "7655956" ], "author": [ "2171669276", "2308154814", "1924499688" ], "reference": [ "1543731761", "1582269801", "1968742121", "1984349764", "1997406036", "2015970501", "2054416947", "2054977469", "2061864788", "2088027070", "2121423327", "2126468683", "2798613517" ], "abstract": "this is the first of three papers which develop various fundamental aspects of the theory of ditopological texture spaces in a categorical setting and present important links with the theory of l topological spaces the authors begin by defining the notion of q sets which together with the p sets considered earlier enable the formulation of a powerful concept of duality this plays an important role in the theory of direlations and difunctions which is described here in detail difunctions are then taken as the morphisms of a category dftex whose objects are texture spaces several important subcategories are defined and the closely related construct ftex defined some properties of the functors between these categories are obtained", "title_raw": "Ditopological texture spaces and fuzzy topology, I. Basic concepts", "abstract_raw": "This is the first of three papers which develop various fundamental aspects of the theory of ditopological texture spaces in a categorical setting and present important links with the theory of L-topological spaces. The authors begin by defining the notion of q-sets, which together with the p-sets considered earlier, enable the formulation of a powerful concept of duality. This plays an important role in the theory of direlations and difunctions, which is described here in detail. Difunctions are then taken as the morphisms of a category dfTex, whose objects are texture spaces. Several important subcategories are defined and the closely related construct fTex defined. Some properties of the functors between these categories are obtained." }, { "paper": "1968577332", "venue": "70695507", "year": "2004", "title": "the relevance of convex analysis for the study of monotonicity", "label": [ "114614502", "2834757", "202171527", "145446738", "72169020", "12108790" ], "author": [ "2036477955" ], "reference": [ "76142935", "128756787", "158315004", "163258351", "194839837", "240703482", "568535517", "568703599", "570601724", "1510350618", "1517403807", "1531856058", "1547403762", "1556141937", "1577338488", "1582617215", "1943862610", "1949423978", "1965946591", "1970099485", "1971365298", "1994401894", "2011752515", "2017397119", "2042261731", "2073029248", "2090933614", "2113323461", "2114605231", "2116174279", "2120682042", "2132677982", "2135168902", "2481319901", "2566580722", "2570863447", "2582171088", "2586403278" ], "abstract": "abstract we introduce new representations for maximal monotone operators we relate them to previous representations given by krauss fitzpatrick martinez legaz and thera we show their usefulness for the study of compositions and sums of maximal monotone operators", "title_raw": "The relevance of convex analysis for the study of monotonicity", "abstract_raw": "Abstract We introduce new representations for maximal monotone operators. We relate them to previous representations given by Krauss, Fitzpatrick, Martinez-Legaz and Thera. We show their usefulness for the study of compositions and sums of maximal monotone operators." }, { "paper": "2070691880", "venue": "54953690", "year": "2004", "title": "hamiltonian formulation of energy conservative variational equations by wavelet expansion", "label": [ "78045399", "101487385", "97826883", "38409319", "121770821", "200602138", "170036204", "84629840", "134306372" ], "author": [ "2939195506", "2136699098" ], "reference": [ "181916277", "591975379", "1969026460", "2007836182", "2015711858", "2017812896", "2019522628", "2031117606", "2062024414", "2063201396", "2078566664", "2084367325", "2094585768", "2095469050", "2163257413", "2212290892", "2239763523", "3000113561" ], "abstract": "abstract hamiltonian formulation of various energy conservative evolution equations is given by means of wavelet expansion of solutions on the whole real axis r the kdv equation wave equations and schrodinger equations are treated in a unified similar manner a matrix representation of operators with respect to a nice wavelet base plays an important role in the formulation since the procedure is very concrete our results can be used to efficiently compute numerical solutions of partial differential equations described in the text in fact we may also use symplectic schemes to solve derived hamiltonian systems", "title_raw": "Hamiltonian formulation of energy conservative variational equations by wavelet expansion", "abstract_raw": "Abstract Hamiltonian formulation of various energy conservative evolution equations is given by means of wavelet expansion of solutions on the whole real axis R . The KdV equation, wave equations and Schrodinger equations are treated in a unified similar manner. A matrix representation of operators with respect to a nice wavelet base plays an important role in the formulation. Since the procedure is very concrete, our results can be used to efficiently compute numerical solutions of partial differential equations described in the text. In fact, we may also use symplectic schemes to solve derived Hamiltonian systems." }, { "paper": "1977504458", "venue": "11296630", "year": "2004", "title": "lateral suppression preserves speech intelligibility at high intensities", "label": [ "112633086" ], "author": [ "2118846609", "2192403237", "2074995930" ], "reference": [], "abstract": "the intelligibility of narrowband speech decreased 23 when its level was raised from 45 to 75 db however when flanking bands of low pass and high pass white noise were added intelligibility at the higher speech level recovered by as much as 65 recovery appears to be due to lateral suppression counteracting overloading effects of auditory nerve an firing rate saturation at high speech intensities findings supporting this hypothesis include 1 the absence of intelligibility enhancement at the lower speech level 2 a greater effect of the higher frequency flanking noise band at a low noise level and 3 equivalent effects of continuous versus gated flanking noise inconsistent with firing rate adaptation in addition there was no intelligibility increase when the flanking noise and narrow band speech were delivered to opposite ears of listeners these behavioral results are consistent with previous physiological observations and models of lateral suppressive interactions occurring in the lower", "title_raw": "Lateral suppression preserves speech intelligibility at high intensities", "abstract_raw": "The intelligibility of narrowband speech decreased 23% when its level was raised from 45 to 75 dB. However, when flanking bands of low\u2010pass and high\u2010pass white noise were added, intelligibility at the higher speech level recovered by as much as 65%. Recovery appears to be due to lateral suppression counteracting overloading effects of auditory\u2010nerve (AN) firing\u2010rate saturation at high speech intensities. Findings supporting this hypothesis include: (1) the absence of intelligibility enhancement at the lower speech level; (2) a greater effect of the higher frequency flanking noise band at a low noise level; and (3) equivalent effects of continuous versus gated flanking noise, inconsistent with firing\u2010rate adaptation. In addition, there was no intelligibility increase when the flanking noise and narrow\u2010band speech were delivered to opposite ears of listeners. These behavioral results are consistent with previous physiological observations and models of lateral suppressive interactions occurring in the lower..." }, { "paper": "2046301131", "venue": "151579836", "year": "2004", "title": "oscillation criteria for second order nonlinear neutral delay dynamic equations", "label": [ "134306372", "206339638", "114460028", "158622935", "202444582", "199422724" ], "author": [ "2222379030", "2140111608", "2066812323" ], "reference": [ "186758534", "271810198", "616418331", "1522419168", "1839860773", "1976148003", "1979313470", "1992297440", "2006641271", "2021597507", "2034567568", "2038662746", "2066397800", "2083844629", "2085594044", "2091042190", "2099274070", "2137369682", "2595224434" ], "abstract": "in this paper we will establish some oscillation criteria for the second order nonlinear neutral delay dynamic equation r t y t p t y t f t y t 0 on a time scale t here 0 is a quotient of odd positive integers with r t and p t real valued positive functions defined on t to the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales so this paper initiates the study", "title_raw": "Oscillation criteria for second-order nonlinear neutral delay dynamic equations", "abstract_raw": "In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation \r\n(r(t)((y(t)+p(t)y(t\u2212\u03c4))\u0394)\u03b3)\u0394+f(t,y(t\u2212\u03b4))=0\r\non a time scale T; here \u03b3>0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales, so this paper initiates the study." }, { "paper": "1987883052", "venue": "159544283", "year": "2004", "title": "feedback invariants via output injection", "label": [ "202444582", "204707403", "2778459887", "65244806", "49209780" ], "author": [ "2577094294", "2168998068" ], "reference": [ "57393165", "648136064", "938116964", "1545748428", "1560592371", "1987906267", "1994905114", "2003995054", "2014694189", "2015502491", "2025368771", "2025511418", "2042414500", "2046824537", "2050125783", "2056165813", "2078362498", "2079334604", "2085849252", "2088876089", "2090223047", "2151480374", "2179748639", "2798813531", "2967188241" ], "abstract": "abstract the feedback equivalence classes of matrix pairs a kc b kw obtained by output injection of matrix k on a system a b c w are completely characterized working on arbitrary fields some related problems are also solved", "title_raw": "Feedback invariants via output injection", "abstract_raw": "Abstract The feedback equivalence classes of matrix pairs ( A + KC , B + KW ) obtained by output injection of matrix K on a system ( A , B , C , W ) are completely characterized working on arbitrary fields. Some related problems are also solved." }, { "paper": "1966324003", "venue": "159544283", "year": "2004", "title": "linear transformations preserving the grassmannian over mn z", "label": [ "162929932", "125565743", "49766605", "202444582", "94863793" ], "author": [ "1841891961", "2022923637", "2126591738", "2148496927" ], "reference": [ "1964676216", "2074248980" ], "abstract": "abstract we classify linear preservers of the grassmannian for matrices over non negative integers namely linear operators that preserve the set of triples of matrices from m n z satisfying the condition xyz zyx yxz zxy", "title_raw": "Linear transformations preserving the Grassmannian over Mn(Z", "abstract_raw": "Abstract We classify linear preservers of the Grassmannian for matrices over non-negative integers, namely, linear operators that preserve the set of triples of matrices from M n ( Z + ) satisfying the condition XYZ+ZYX=YXZ+ZXY" }, { "paper": "2164206203", "venue": "193920097", "year": "2004", "title": "optimality and duality theory for stochastic optimization problems with nonlinear dominance constraints", "label": [ "56081698", "126255220", "55660270", "32645036", "33252445", "115527620", "137631369", "163863214", "194387892" ], "author": [ "86532891", "2269273602" ], "reference": [ "354266982", "1531856058", "1551360398", "1553702074", "1558438642", "1566027928", "1569990960", "1601741115", "1628790568", "1966823320", "1972069020", "2011855197", "2070589948", "2079688774", "2094721569", "2798344481", "3150304496" ], "abstract": "we consider a new class of optimization problems involving stochastic dominance constraints of second order we develop a new splitting approach to these models optimality conditions and duality theory these results are used to construct special decomposition methods", "title_raw": "Optimality and duality theory for stochastic optimization problems with nonlinear dominance constraints", "abstract_raw": "We consider a new class of optimization problems involving stochastic dominance constraints of second order. We develop a new splitting approach to these models, optimality conditions and duality theory. These results are used to construct special decomposition methods." }, { "paper": "2071046361", "venue": "122441808", "year": "2004", "title": "the mod 2 cohomology of fixed point sets of anti symplectic involutions", "label": [ "125565743", "168619227", "40265840", "202444582", "72738302", "136660716", "130190758", "68365058", "78606066", "171036898" ], "author": [ "2071219470", "2112691389", "2045702555" ], "reference": [ "1552560020", "1558796308", "1994482106", "2017700406", "2020972183", "2022883564", "2088536807", "2108208155", "2152822709", "2314768891", "3109244789" ], "abstract": "abstract let m be a compact connected symplectic manifold with a hamiltonian action of a compact n dimensional torus g tn suppose that is an anti symplectic involution compatible with the g action the real locus of m is x the fixed point set of duistermaat uses morse theory to give a description of the ordinary cohomology of x in terms of the cohomology of m there is a residual g r z 2 z n action on x and we can use duistermaat s result as well as some general facts about equivariant cohomology to prove an equivariant analogue to duistermaat s theorem in some cases we can also extend theorems of goresky kottwitz macpherson and goldin holm to the real locus", "title_raw": "The mod 2 cohomology of fixed point sets of anti-symplectic involutions", "abstract_raw": "Abstract Let M be a compact, connected symplectic manifold with a Hamiltonian action of a compact n-dimensional torus G=Tn. Suppose that \u03c3 is an anti-symplectic involution compatible with the G-action. The real locus of M is X, the fixed point set of \u03c3. Duistermaat uses Morse theory to give a description of the ordinary cohomology of X in terms of the cohomology of M. There is a residual G R =( Z /2 Z ) n action on X, and we can use Duistermaat's result, as well as some general facts about equivariant cohomology, to prove an equivariant analogue to Duistermaat's theorem. In some cases, we can also extend theorems of Goresky\u2013Kottwitz\u2013MacPherson and Goldin\u2013Holm to the real locus." }, { "paper": "1970811411", "venue": "61604500", "year": "2004", "title": "white noise limits for discrete dynamical systems driven by fast deterministic dynamics", "label": [ "2777215656", "138777275", "63331456", "140479938", "144618667", "79379906", "112633086", "134306372" ], "author": [ "2196342697", "2009135560" ], "reference": [ "1481616730", "1575104486", "1978392737", "1980658125", "1981475009", "1986101505", "1999678910", "2017957151", "2026886398", "2051877345", "2058719033", "2061514871", "2073144354", "2083663860", "2090353374", "2103012681", "2139139723", "2156603435", "2802739963" ], "abstract": "abstract we study a class of singularly perturbed dynamical systems that have fast and slow components e 1 being the fast to slow timescale ratio the fast components are governed by a strongly mixing discrete map which is iterated at time intervals e the slow components are governed by a first order finite difference equation that uses a time step e as e tends to zero the fast components may be eliminated giving rise to sdes for the slow components the emerging stochastic calculus is in the general case of neither ito nor stratonovich type but depends on the correlation time of the mixing process", "title_raw": "White noise limits for discrete dynamical systems driven by fast deterministic dynamics", "abstract_raw": "Abstract We study a class of singularly perturbed dynamical systems that have fast and slow components, e \u2aa11 being the fast to slow timescale ratio. The fast components are governed by a strongly mixing discrete map, which is iterated at time intervals e . The slow components are governed by a first-order finite-difference equation that uses a time step e . As e tends to zero, the fast components may be eliminated, giving rise to SDEs for the slow components. The emerging stochastic calculus is, in the general case, of neither Ito nor Stratonovich type, but depends on the correlation time of the mixing process." }, { "paper": "2134879310", "venue": "168680287", "year": "2004", "title": "infinite length results and design implications for time domain equalizers", "label": [ "90652560", "126875415", "103824480", "65244806", "28826006", "85761212" ], "author": [ "2113585675", "2600674423", "2219461331", "2193108720" ], "reference": [ "1531971775", "1596300602", "1956167977", "1981745143", "1984481129", "2006356104", "2029673346", "2058367641", "2083881824", "2096027812", "2113863383", "2123499179", "2140975119", "2150940198", "2156230547", "2316882975", "2346717438" ], "abstract": "we show that maximum shortening signal to noise ratio snr time domain equalizers teqs are often nearly symmetric constraining the teq to be symmetric causes only a 3 loss in bit rate averaged over eight standard adsl channels symmetric teqs have greatly reduced design and implementation complexity we also show that for infinite length teqs minimum mean squared error mmse target impulse responses have all zeros on the unit circle which can lead to poor bit rate performance", "title_raw": "Infinite length results and design implications for time-domain equalizers", "abstract_raw": "We show that maximum shortening signal-to-noise ratio (SNR) time-domain equalizers (TEQs) are often nearly symmetric. Constraining the TEQ to be symmetric causes only a 3% loss in bit rate (averaged over eight standard ADSL channels). Symmetric TEQs have greatly reduced design and implementation complexity. We also show that for infinite length TEQs, minimum mean squared error (MMSE) target impulse responses have all zeros on the unit circle, which can lead to poor bit rate performance." }, { "paper": "2170340340", "venue": "172180718", "year": "2004", "title": "equivalence of prospective and retrospective models in the bayesian analysis of case control studies", "label": [ "37903108", "149782125", "168136583", "189559763", "89106044", "9483764", "61420037", "151956035", "105795698", "95923904" ], "author": [ "2051888067", "2141738932" ], "reference": [ "147015258", "1542127376", "1966005920", "1966156331", "1974331555", "2001220785", "2001994823", "2010630372", "2012500654", "2014013976", "2018144913", "2048975426", "2095887717", "2096655574", "2120117652", "2123579535", "2130416410", "2483000999", "2521660970", "3008617006" ], "abstract": "summary the natural likelihood to use for a case control study is a retrospective likelihood i e a likelihood based on the probability of exposure given disease status prentice pyke 1979 showed that when a logistic regression form is assumed for the probability of disease given exposure the maximum likelihood estimators and asymptotic covariance matrix of the log odds ratios obtained from the retrospective likelihood are the same as those obtained from the prospective likelihood i e that based on probability of disease given exposure we prove a similar result for the posterior distribution of the log odds ratios in a bayesian analysis this means that the bayesian analysis of case control studies may be done using a relatively simple model the logistic regression model which treats data as though generated prospectively and which does not involve nuisance parameters for the exposure distribution", "title_raw": "\u2018Equivalence of prospective and retrospective models in the Bayesian analysis of case-control studies\u2019", "abstract_raw": "SUMMARY The natural likelihood to use for a case-control study is a 'retrospective' likelihood, i.e. a likelihood based on the probability of exposure given disease status. Prentice & Pyke (1979) showed that, when a logistic regression form is assumed for the probability of disease given exposure, the maximum likelihood estimators and asymptotic covariance matrix of the log odds ratios obtained from the retrospective likelihood are the same as those obtained from the 'prospective' likelihood, i.e. that based on probability of disease given exposure. We prove a similar result for the posterior distribution of the log odds ratios in a Bayesian analysis. This means that the Bayesian analysis of case-control studies may be done using a relatively simple model, the logistic regression model, which treats data as though generated prospectively and which does not involve nuisance parameters for the exposure distribution." }, { "paper": "2160924463", "venue": "24688465", "year": "2004", "title": "a trade investment model for distribution of wealth", "label": [ "137635306", "149782125", "20589650", "144237770", "127491075", "29912722" ], "author": [ "142334862", "2038618423", "2917311690" ], "reference": [ "265215831", "574363112", "585860362", "803972901", "1488123425", "1596983076", "1904429860", "1978341896", "1981893058", "1983874169", "1986091197", "2003366234", "2004872575", "2020229562", "2026177910", "2035169993", "2064975723", "2078824647", "2087210340", "2089764014", "2094381320", "2098353707", "2136399235", "2139040611", "2146376650", "2146986584", "2170979592", "2171203854", "2171903289", "2340164120", "2493362609", "2751862591", "2761540959", "2953745072", "3003303647", "3106236941", "3140662957", "3143633024" ], "abstract": "econophysics provides a strategy for understanding the potential mechanisms underlying the anomalous distribution of wealth found in real societies we present a computational nonlinear stochastic model for the distribution of wealth that depends upon three parameters and two mechanisms trade and investment to avoid economic paradoxes the trade mechanism is assumed to be related to the poorer trader s wealth and to statistically advantage the poorer of the two traders the two mechanisms together are shown to generate a distribution that reproduces the full range of the empirical wealth distribution and not only the inverse power law tail that pareto found in western societies at the end of the 19th century", "title_raw": "A trade-investment model for distribution of wealth", "abstract_raw": "Econophysics provides a strategy for understanding the potential mechanisms underlying the anomalous distribution of wealth found in real societies. We present a computational nonlinear stochastic model for the distribution of wealth that depends upon three parameters and two mechanisms: trade and investment. To avoid economic paradoxes, the trade mechanism is assumed to be related to the poorer trader\u2019s wealth and to statistically advantage the poorer of the two traders. The two mechanisms together are shown to generate a distribution that reproduces the full range of the empirical wealth distribution, and not only the inverse power-law tail that Pareto found in western societies at the end of the 19th century." }, { "paper": "2102115926", "venue": "62223294", "year": "2004", "title": "image directe superieure et unipotence", "label": [ "114614502" ], "author": [ "2512091897", "2719704843" ], "reference": [ "564449680", "991747121", "1486940476", "1590167121", "1610724018", "1742843158", "1958211343", "1970845168", "2006077554", "2013644282", "2028906727", "2062264247", "2094582135", "2134966254", "2314581748", "2317856596", "2332879227", "2600715927", "3105637181" ], "abstract": "let x be a proper smooth curve over a perfect field of characteristic p 0 and u an open dense subscheme of x we prove that convergent f isocrystals on u are overconvergent under the condition that they are overconvergent at each point in x nu using this criterion we show that the higher direct images rfcrys ov by a proper smooth morphism of schemes f v u are overconvergent introduction soient u k une courbe a ne et lisse sur un corps parfait de caracteristique p 0 x k une compactification lisse de u et f v u un morphisme propre et lisse en utilisant un critere de surconvergence dont l idee initiale revient a de jong cf 9 et gr ce aux resultats locaux de kedlaya 13 nous montrons que les images directes superieures rf ov sont surconvergentes repondant ainsi dans le cas d une courbe a ne et lisse a une conjecture de 3 en particulier leurs groupes de cohomologie sont de dimension finie et verifient la dualite de poincare enfin nous montrons que le theoreme de monodromie p adique local de 1 14 et 17 permet de deduire que tout f isocristal surconvergent sur u provient apres une eventuelle extension finie etale d un f log isocristal nous remercions kiran kedlaya pour nous avoir indique comment obtenir des resultats de descente de modules via ses lemmes de factorisations de matrices a notations soit k un corps parfait de caracteristique p on note w l anneau des vecteurs de witt de k ok une extension finie de w et k0 respectivement k le corps des fractions de w resp ok on suppose le corps k muni d un frobenius s relevant le frobenius canonique de k0 pour une indeterminee t on notera s 1 4 ok 1 21 2t nok k a 1 4 py i1 40 ait i ai a k jaijr i 0 i y pour tout 0 r 1 h 1 4 a 1 4 p y i1 40 ait i ai a k jaij 0 i y hy 1 4 a a h jaijr 0 i y pour un certain 0 r 1", "title_raw": "Image directe superieure et unipotence", "abstract_raw": "Let X be a proper smooth curve over a perfect field of characteristic p > 0 and U an open dense subscheme of X . We prove that convergent F -isocrystals on U are overconvergent under the condition that they are overconvergent at each point in X nU . Using this criterion, we show that the higher direct images Rfcrys OV by a proper smooth morphism of schemes f : V ! U are overconvergent. Introduction. Soient U=k une courbe a\u2030ne et lisse sur un corps parfait de caracteristique p > 0, X=k une compactification lisse de U et f : V ! U un morphisme propre et lisse. En utilisant un critere de surconvergence dont l\u2019idee initiale revient a de Jong (cf. [9]) et gr\u00e2ce aux resultats (locaux) de Kedlaya ([13]), nous montrons que les images directes superieures Rf OV sont surconvergentes (repondant ainsi dans le cas d\u2019une courbe a\u2030ne et lisse a une conjecture de [3]). En particulier, leurs groupes de cohomologie sont de dimension finie et verifient la dualite de Poincare. Enfin, nous montrons que le theoreme de monodromie p-adique local de [1], [14] et [17] permet de deduire que tout F -isocristal surconvergent sur U provient apres une eventuelle extension finie etale d\u2019un F -log-isocristal. Nous remercions Kiran Kedlaya pour nous avoir indique comment obtenir des resultats de descente de modules via ses lemmes de factorisations de matrices. (a) Notations. Soit k un corps parfait de caracteristique p. On note W l\u2019anneau des vecteurs de Witt de k, OK une extension finie de W et K0 (respectivement K ) le corps des fractions de W (resp. OK ). On suppose le corps K muni d\u2019un Frobenius s relevant le Frobenius canonique de K0. Pour une indeterminee t, on notera: S :1\u20444 OK 1\u204421\u20442t nOK K. A :1\u20444 Py i1\u204440 ait i ai A K; jaijr i ! 0 \u00f0i ! y\u00de; pour tout 0 < r < 1 . H 1\u20444 a 1\u20444 P y i1\u204440 ait i ai A K ; jaij ! 0 \u00f0i ! y\u00de . Hy 1\u20444 a A H jaijr ! 0 \u00f0i ! y\u00de pour un certain 0 < r < 1 ." }, { "paper": "2009272868", "venue": "70695507", "year": "2004", "title": "on the existence of multiple solutions of the boundary value problem for nonlinear second order differential equations", "label": [ "94242865", "2779396167", "78045399", "158622935", "2779560616", "134306372", "2777215656", "4195266", "182310444" ], "author": [ "2138165431", "2526142347" ], "reference": [ "1967497913", "1970169700", "1996327920", "2005440162", "2009762984", "2010245105", "2012131130", "2020070516", "2023317293", "2025025900", "2026767599", "2037911926", "2038587387", "2058574868", "2073333170", "2077028738", "2077130143", "2086639727", "3021722416", "3141151088" ], "abstract": "abstract we consider the boundary value problem for nonlinear second order differential equations of the form u a x f u 0 0 u 0 u 1 0 we establish the precise condition concerning the behavior of the ratio f s s at infinity and zero for the existence of solutions with prescribed nodal properties then we derive the existence and the multiplicity of nodal solutions to the problem our argument is based on the shooting method together with the strum s comparison theorem the results obtained here can be applied to the study of radially symmetric solutions of the dirichlet problem for semilinear elliptic equations in annular domains", "title_raw": "On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations", "abstract_raw": "Abstract We consider the boundary value problem for nonlinear second-order differential equations of the form u \u2032\u2032 +a(x)f(u)=0, 0 u(0)=u(1)=0. We establish the precise condition concerning the behavior of the ratio f ( s )/ s at infinity and zero for the existence of solutions with prescribed nodal properties. Then we derive the existence and the multiplicity of nodal solutions to the problem. Our argument is based on the shooting method together with the Strum's comparison theorem. The results obtained here can be applied to the study of radially symmetric solutions of the Dirichlet problem for semilinear elliptic equations in annular domains." }, { "paper": "2000887821", "venue": "8265502", "year": "2004", "title": "judgement post stratification with imprecise rankings", "label": [ "49937458", "105795698", "62644790" ], "author": [ "2114710667", "12255326", "2134661049" ], "reference": [ "1486039312", "1963942542", "1976749402", "1986049907", "1986942717", "1995238259", "2001362868", "2008408176", "2050014302", "2056250625", "2058880161", "2064899080", "2079357246", "2103212156", "2117161260", "2146876168", "2148527884", "2329874522", "2398120049", "2504845701", "2805736557", "3142272849" ], "abstract": "summary judgement post stratification which is based on ideas similar to those in ranked set sampling relies on the ability of a ranker to forecast the ranks of potential observations on a set of units in practice the authors sometimes find it difficult to assign these ranks this note shows how one can borrow techniques from the literature on finite population sampling to allow a probabilistic ranking of the units in a set thus facilitating use of these sampling plans and improving estimation the same techniques provide one approach to estimation using a judgement post stratified sample with multiple rankers the technique is illustrated on allometric data relating brain weight to body weight in different species of mammals and on a study of student performance in graduate school", "title_raw": "Judgement post-stratification with imprecise rankings.", "abstract_raw": "SUMMARY. Judgement post-stratification, which is based on ideas similar to those in ranked set sampling, relies on the ability of a ranker to forecast the ranks of potential observations on a set of units. In practice, the authors sometimes find it difficult to assign these ranks. This note shows how one can borrow techniques from the literature on finite population sampling to allow a probabilistic ranking of the units in a set, thus facilitating use of these sampling plans and improving estimation. The same techniques provide one approach to estimation using a judgement post-stratified sample with multiple rankers. The technique is illustrated on allometric data relating brain weight to body weight in different species of mammals, and on a study of student performance in graduate school." }, { "paper": "2097263107", "venue": "125754415", "year": "2004", "title": "genetic networks with canalyzing boolean rules are always stable", "label": [ "36625806", "126794175", "164380108", "149441793", "87040749", "205826798", "61445026", "151376022" ], "author": [ "2244449681", "2224563475", "2100615180", "85493646" ], "reference": [ "1970441315", "1985351346", "2009036328", "2029728812", "2032846172", "2065304353", "2108020239", "2111123076", "2118640842", "2126602684", "2154749468", "2165641442", "2751862591" ], "abstract": "we determine stability and attractor properties of random boolean genetic network models with canalyzing rules for a variety of architectures for all power law exponential and flat in degree distributions we find that the networks are dynamically stable furthermore for architectures with few inputs per node the dynamics of the networks is close to critical in addition the fraction of genes that are active decreases with the number of inputs per node these results are based upon investigating ensembles of networks using analytical methods also for different in degree distributions the numbers of fixed points and cycles are calculated with results intuitively consistent with stability analysis fewer inputs per node implies more cycles and vice versa there are hints that genetic networks acquire broader degree distributions with evolution and hence our results indicate that for single cells the dynamics should become more stable with evolution however such an effect is very likely compensated for by multicellular dynamics because one expects less stability when interactions among cells are included we verify this by simulations of a simple model for interactions among cells", "title_raw": "Genetic networks with canalyzing Boolean rules are always stable", "abstract_raw": "We determine stability and attractor properties of random Boolean genetic network models with canalyzing rules for a variety of architectures. For all power law, exponential, and flat in-degree distributions, we find that the networks are dynamically stable. Furthermore, for architectures with few inputs per node, the dynamics of the networks is close to critical. In addition, the fraction of genes that are active decreases with the number of inputs per node. These results are based upon investigating ensembles of networks using analytical methods. Also, for different in-degree distributions, the numbers of fixed points and cycles are calculated, with results intuitively consistent with stability analysis; fewer inputs per node implies more cycles, and vice versa. There are hints that genetic networks acquire broader degree distributions with evolution, and hence our results indicate that for single cells, the dynamics should become more stable with evolution. However, such an effect is very likely compensated for by multicellular dynamics, because one expects less stability when interactions among cells are included. We verify this by simulations of a simple model for interactions among cells." }, { "paper": "2028170488", "venue": "184954342", "year": "2004", "title": "a gramian based controller for linear periodic systems", "label": [ "87698059", "6802819", "65244806", "22629506", "143461762", "55649039", "137127113", "79699506", "77246614" ], "author": [ "2078153240", "717783442" ], "reference": [ "564461737", "1490180844", "1546311093", "1680579736", "1965788073", "1968741076", "1973941782", "1981120223", "1988747478", "1990099656", "1995733860", "1997283958", "2006746310", "2018261315", "2055375707", "2058383091", "2067265108", "2069994325", "2074549691", "2130613450", "2142166161", "3190129163" ], "abstract": "this note proposes a new design method for the control of linear time periodic systems the method is based on the reachability gramian and a specific form for the feedback gain matrix to build a novel control law for the closed loop system the new controller allows assignment of all the invariants of the system calculating the feedback requires solving a matrix integral equation for the periodic floquet factor of the state transition matrix of the closed loop system", "title_raw": "A Gramian-based controller for linear periodic systems", "abstract_raw": "This note proposes a new design method for the control of linear time-periodic systems. The method is based on the reachability Gramian and a specific form for the feedback gain matrix to build a novel control law for the closed-loop system. The new controller allows assignment of all the invariants of the system. Calculating the feedback requires solving a matrix integral equation for the periodic Floquet factor of the state-transition matrix of the closed-loop system." }, { "paper": "2002433529", "venue": "90727058", "year": "2004", "title": "minimization and np multifunctions", "label": [ "124416688", "118615104", "9986523", "114614502", "139503435", "85955891", "54271186", "106663253", "113137982", "182359184" ], "author": [ "2142219087", "298591568" ], "reference": [ "1486337808", "1520244229", "1593050105", "1981324778", "2069549740", "2069792094", "2103517359" ], "abstract": "the implicit characterizations of the polynomial time computable functions fp given by bellantoni cook and leivant suggest that this class is the complexity theoretic analog of the primitive recursive functions hence it is natural to add minimization operators to these characterizations and investigate the resulting class of partial functions as a candidate for the analog of the partial recursive functions we do so in this paper for cobham s definition of fp by bounded recursion and for bellantoni cook s safe recursion and prove that the resulting classes capture exactly npmv the nondeterministic polynomial time computable partial multifunctions we also consider the relationship between our schemes and a notion of nondeterministic recursion defined by leivant and show that the latter characterizes the total functions of npmv we view these results as giving evidence that npmv is the appropriate analog of partial recursive this view is reinforced by earlier results of spreen and stahl who show that for many of the relationships between partial recursive functions and r e sets analogous relationships hold between npmv and np sets furthermore since npmv is obtained from fp in the same way as the recursive functions are obtained from the primitive recursive functions when defined via function schemes this also gives further evidence that fp is properly seen as playing the role of primitive recursion", "title_raw": "Minimization and NP multifunctions", "abstract_raw": "The implicit characterizations of the polynomial-time computable functions FP given by Bellantoni-Cook and Leivant suggest that this class is the complexity-theoretic analog of the primitive recursive functions. Hence, it is natural to add minimization operators to these characterizations and investigate the resulting class of partial functions as a candidate for the analog of the partial recursive functions. We do so in this paper for Cobham's definition of FP by bounded recursion and for Bellantoni-Cook's safe recursion and prove that the resulting classes capture exactly NPMV, the nondeterministic polynomial-time computable partial multifunctions. We also consider the relationship between our schemes and a notion of nondeterministic recursion defined by Leivant and show that the latter characterizes the total functions of NPMV. We view these results as giving evidence that NPMV is the appropriate analog of partial recursive. This view is reinforced by earlier results of Spreen and Stahl who show that for many of the relationships between partial recursive functions and r.e. sets, analogous relationships hold between NPMV and NP sets. Furthermore, since NPMV is obtained from FP in the same way as the recursive functions are obtained from the primitive recursive functions (when defined via function schemes), this also gives further evidence that FP is properly seen as playing the role of primitive recursion." }, { "paper": "2114145354", "venue": "45918994", "year": "2004", "title": "repulsion and quantization in almost harmonic maps and asymptotics of the harmonic map flow", "label": [ "134306372", "6270764", "28855332", "2524010" ], "author": [ "2057307392" ], "reference": [ "65451589", "184364220", "1488877410", "1583136131", "1866311589", "1924999536", "1974228548", "2024614658", "2075976062", "2081559794", "2084966478", "2095678467", "2136373840", "2251490743", "2325869167", "2329975073", "3021722416" ], "abstract": "we present an analysis of bounded energy low tension maps between 2 spheres by deriving sharp estimates for the ratio of length scales on which bubbles of opposite orientation develop we show that we can establish a quantization estimate which constrains the energy of the map to lie near to a discrete energy spectrum one application is to the asymptotics of the harmonic map flow we find uniform exponential convergence in time in the case under consideration", "title_raw": "Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow", "abstract_raw": "We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estimates for the ratio of length scales on which bubbles of opposite orientation develop, we show that we can establish a \u2018quantization estimate\u2019 which constrains the energy of the map to lie near to a discrete energy spectrum. One application is to the asymptotics of the harmonic map flow; we find uniform exponential convergence in time, in the case under consideration." }, { "paper": "2048986856", "venue": "200871675", "year": "2004", "title": "symmetry group methods for fundamental solutions", "label": [ "44306375", "33026886", "5534955", "134306372", "37914503", "164772539" ], "author": [ "2109570179", "2119609511" ], "reference": [ "1515416301", "1525526370", "1542022392", "1573927207", "1580071822", "2001452638", "2009817733", "2024298316", "2036790042", "2038377417", "2050811035", "2092784029", "2797256054", "3140472990" ], "abstract": "abstract this paper uses lie symmetry group methods to study pdes of the form u t xu xx f x u x we show that when the drift function f is a solution of a family of ricatti equations then symmetry techniques can be used to find a fundamental solution", "title_raw": "Symmetry group methods for fundamental solutions", "abstract_raw": "Abstract This paper uses Lie symmetry group methods to study PDEs of the form u t = xu xx + f ( x ) u x . We show that when the drift function f is a solution of a family of Ricatti equations, then symmetry techniques can be used to find a fundamental solution." }, { "paper": "2113589370", "venue": "40006715", "year": "2004", "title": "computational modeling of deformation bands in granular media i geological and mathematical framework", "label": [ "202973686", "91229774", "85075877" ], "author": [ "2182635603", "2142998238" ], "reference": [ "92024996", "1507285420", "1527243954", "1970931142", "1979591352", "1979703834", "1979752681", "1985721495", "1987316967", "1994325236", "1995592767", "1996102082", "2005887520", "2009104691", "2009930666", "2010377320", "2014442448", "2019175602", "2021814597", "2025157501", "2040647169", "2042502558", "2051291615", "2057553530", "2064310671", "2069767740", "2072013994", "2072660839", "2073840081", "2075028590", "2079515398", "2079977665", "2086481401", "2087835236", "2091458695", "2093169282", "2094929284", "2100643541", "2116559776", "2138454680", "2145813196", "2156144631", "2160683791", "2161066279", "2165857122", "2317274929", "2342116053", "2361866514", "2563506672" ], "abstract": "failure of granular media under natural and laboratory loading conditions involves a variety of micromechanical processes producing several geometrically kinematically and texturally distinct types of structures this paper provides a geological framework for failure processes as well as a mathematical model to analyze these processes of particular interest is the formation of tabular deformation bands in granular rocks which could exhibit distinct localized deformation features including simple shearing pure compaction dilation and various possible combinations thereof the analysis is carried out using classical bifurcation theory combined with non linear continuum mechanics and theoretical computational plasticity for granular media yielding and plastic flow are known to be influenced by all three stress invariants and thus we formulate a family of three invariant plasticity models with a compression cap to capture the entire spectrum of yielding of geomaterials we then utilize a return mapping algorithm in principal stress directions to integrate the stresses over discrete load increments allowing the solution to find the critical bifurcation point for a given loading path the formulation covers both the infinitesimal and finite deformation regimes and comparisons are made of the localization criteria in the two regimes in the accompanying paper we demonstrate with numerical examples the role that the constitutive model and finite deformation effects play on the prediction of the onset of deformation bands in geomaterials", "title_raw": "Computational modeling of deformation bands in granular media. I. Geological and mathematical framework", "abstract_raw": "Failure of granular media under natural and laboratory loading conditions involves a variety of micromechanical processes producing several geometrically, kinematically, and texturally distinct types of structures. This paper provides a geological framework for failure processes as well as a mathematical model to analyze these processes. Of particular interest is the formation of tabular deformation bands in granular rocks, which could exhibit distinct localized deformation features including simple shearing, pure compaction/dilation, and various possible combinations thereof. The analysis is carried out using classical bifurcation theory combined with non-linear continuum mechanics and theoretical/computational plasticity. For granular media, yielding and plastic flow are known to be influenced by all three stress invariants, and thus we formulate a family of three-invariant plasticity models with a compression cap to capture the entire spectrum of yielding of geomaterials. We then utilize a return mapping algorithm in principal stress directions to integrate the stresses over discrete load increments, allowing the solution to find the critical bifurcation point for a given loading path. The formulation covers both the infinitesimal and finite deformation regimes, and comparisons are made of the localization criteria in the two regimes. In the accompanying paper, we demonstrate with numerical examples the role that the constitutive model and finite deformation effects play on the prediction of the onset of deformation bands in geomaterials." }, { "paper": "2039555116", "venue": "100601982", "year": "2004", "title": "does asymptotic simplicity allow for radiation near spatial infinity", "label": [ "7321624", "24521066", "128571148", "135538649", "134306372", "12843", "141836858", "2777441819", "197790626" ], "author": [ "2132741113" ], "reference": [ "793216823", "824822901", "1587275585", "1638055360", "1968281448", "1980689448", "1990911404", "1993288737", "2033104910", "2035054911", "2035738334", "2049298162", "2050260974", "2061630409", "2064962927", "2076870091", "2089710229", "2090670432", "2092506975", "2111363955", "2129448482", "2134017957", "2145143750", "2146790194", "2154157974", "2169453886", "2952855745", "3098926392", "3122530625", "3124836079" ], "abstract": "a representation of spatial infinity based on the properties of conformal geodesics is used to obtain asymptotic expansions of the gravitational field near the region where null infinity touches spatial infinity these expansions show that generic time symmetric initial data with an analytic conformal metric at infinity will give rise to developments with a certain type of logarithmic singularities at the points where null infinity and spatial infinity meet these logarithmic singularities produce a non smooth null infinity the sources of the logarithmic singularities are traced back down to the initial data it is shown that if the parts of the initial data responsible for the non regular behaviour of the solutions are not present then the initial data is static to a certain order on the basis of these results it is conjectured that the only time symmetric data sets with developments having a smooth null infinity are those which are static in a neighbourhood of infinity this conjecture generalises a previous conjecture regarding time symmetric conformally flat data the relation of these conjectures to penrose s proposal for the description of the asymptotic gravitational field of isolated bodies is discussed", "title_raw": "Does Asymptotic Simplicity Allow for Radiation Near Spatial Infinity", "abstract_raw": "A representation of spatial infinity based on the properties of conformal geodesics is used to obtain asymptotic expansions of the gravitational field near the region where null infinity touches spatial infinity. These expansions show that generic time symmetric initial data with an analytic conformal metric at infinity will give rise to developments with a certain type of logarithmic singularities at the points where null infinity and spatial infinity meet. These logarithmic singularities produce a non-smooth null infinity. The sources of the logarithmic singularities are traced back down to the initial data. It is shown that if the parts of the initial data responsible for the non-regular behaviour of the solutions are not present, then the initial data is static to a certain order. On the basis of these results it is conjectured that the only time symmetric data sets with developments having a smooth null infinity are those which are static in a neighbourhood of infinity. This conjecture generalises a previous conjecture regarding time symmetric, conformally flat data. The relation of these conjectures to Penrose\u2019s proposal for the description of the asymptotic gravitational field of isolated bodies is discussed." }, { "paper": "2102823559", "venue": "90727058", "year": "2004", "title": "a coalgebraic approach to kleene algebra with tests", "label": [ "123260079", "206470798", "125565743", "40220748", "135315306" ], "author": [ "2115024503", "2287457879" ], "reference": [ "16542559", "164550212", "1509918383", "1557727575", "1570445666", "1570949334", "1574223981", "1998368317", "2002089154", "2010626618", "2064204259", "2088189323", "2126979663", "2149366752", "2156429182", "2163152086" ], "abstract": "kleene algebra with tests is an extension of kleene algebra the algebra of regular expressions which can be used to reason about programs we develop a coalgebraic theory of kleene algebra with tests along the lines of the coalgebraic theory of regular expressions based on deterministic automata since the known automata theoretic presentation of kleene algebra with tests does not lend itself to a coalgebraic theory we define a new interpretation of kleene algebra with tests expressions and a corresponding automata theoretic presentation one outcome of the theory is a coinductive proof principle that can be used to establish equivalence of our kleene algebra with tests expressions", "title_raw": "A coalgebraic approach to Kleene algebra with tests", "abstract_raw": "Kleene algebra with tests is an extension of Kleene algebra, the algebra of regular expressions, which can be used to reason about programs. We develop a coalgebraic theory of Kleene algebra with Tests, along the lines of the coalgebraic theory of regular expressions based on deterministic automata. Since the known automata-theoretic presentation of Kleene algebra with tests does not lend itself to a coalgebraic theory, we define a new interpretation of Kleene algebra with tests expressions and a corresponding automata-theoretic presentation. One outcome of the theory is a coinductive proof principle, that can be used to establish equivalence of our Kleene algebra with tests expressions." }, { "paper": "1973849157", "venue": "99182027", "year": "2004", "title": "on an iterative general order perturbation method for multiple structural damage detection", "label": [ "135252773", "126255220", "158693339", "28826006", "159694833", "76134657" ], "author": [ "2240299258", "2476978744", "2249176731" ], "reference": [ "796333685", "1965681560", "1972469804", "1977317140", "1990328192", "1990568935", "1990748091", "1992344417", "1994566119", "1999539637", "2011006421", "2013737143", "2018957675", "2040339223", "2045831595", "2047619211", "2058634681", "2080673722", "2086759073", "2091419402", "2092331783", "2094675853", "2138395440", "2153480689", "2226019082", "2398274518" ], "abstract": "a general order perturbation method involving multiple perturbation parameters is developed for eigenvalue problems with changes in the stiffness parameters the perturbation solutions and eigenparameter sensitivities of all orders are derived explicitly the perturbation method is used iteratively in conjunction with an optimization method to identify the stiffness parameters of structures the generalized inverse method is used efficiently with the first order perturbations and the gradient and quasi newton methods are used with the higher order perturbations numerical simulations on discrete and continuous structural systems demonstrated the robustness of the algorithm in detecting the locations and extent of small to large levels of damage the effects of measurement noise and reduced measurements on the performance of the algorithm are evaluated", "title_raw": "On an iterative general-order perturbation method for multiple structural damage detection", "abstract_raw": "A general order perturbation method involving multiple perturbation parameters is developed for eigenvalue problems with changes in the stiffness parameters. The perturbation solutions and eigenparameter sensitivities of all orders are derived explicitly. The perturbation method is used iteratively in conjunction with an optimization method to identify the stiffness parameters of structures. The generalized inverse method is used efficiently with the first order perturbations, and the gradient and quasi-Newton methods are used with the higher order perturbations. Numerical simulations on discrete and continuous structural systems demonstrated the robustness of the algorithm in detecting the locations and extent of small to large levels of damage. The effects of measurement noise and reduced measurements on the performance of the algorithm are evaluated." }, { "paper": "2103127765", "venue": "134177497", "year": "2004", "title": "a generalized concept for fuzzy rule interpolation", "label": [ "143542097", "17378031", "17350324", "127385683", "11413529", "148671577", "2780049643" ], "author": [ "3176684597", "2443498746", "2052936527" ], "reference": [ "590434632", "1493223685", "1507421655", "1512347674", "1604996931", "1671088890", "1773963570", "1934644441", "1992021188", "1999956061", "2010891123", "2013198395", "2027173927", "2030949032", "2033304926", "2049305902", "2068954680", "2087852629", "2089491238", "2094279667", "2117053569", "2120106738", "2122788930", "2130969126", "2131307583", "2132537232", "2133305891", "2136760654", "2150810250", "2159757382", "2160309686", "2166458768", "2501139662", "2767922647", "2788823592", "3031264031" ], "abstract": "the concept of fuzzy rule interpolation in sparse rule bases was introduced in 1993 it has become a widely researched topic in recent years because of its unique merits in the topic of fuzzy rule base complexity reduction the first implemented technique of fuzzy rule interpolation was termed as spl alpha cut distance based fuzzy rule base interpolation despite its advantageous properties in various approximation aspects and in complexity reduction it was shown that it has some essential deficiencies for instance it does not always result in immediately interpretable fuzzy membership functions this fact inspired researchers to develop various kinds of fuzzy rule interpolation techniques in order to alleviate these deficiencies this paper is an attempt into this direction it proposes an interpolation methodology whose key idea is based on the interpolation of relations instead of interpolating spl alpha cut distances and which offers a way to derive a family of interpolation methods capable of eliminating some typical deficiencies of fuzzy rule interpolation techniques the proposed concept of interpolating relations is elaborated here using fuzzy and semantic relations this paper presents numerical examples in comparison with former approaches to show the effectiveness of the proposed interpolation methodology", "title_raw": "A generalized concept for fuzzy rule interpolation", "abstract_raw": "The concept of fuzzy rule interpolation in sparse rule bases was introduced in 1993. It has become a widely researched topic in recent years because of its unique merits in the topic of fuzzy rule base complexity reduction. The first implemented technique of fuzzy rule interpolation was termed as /spl alpha/-cut distance based fuzzy rule base interpolation. Despite its advantageous properties in various approximation aspects and in complexity reduction, it was shown that it has some essential deficiencies, for instance, it does not always result in immediately interpretable fuzzy membership functions. This fact inspired researchers to develop various kinds of fuzzy rule interpolation techniques in order to alleviate these deficiencies. This paper is an attempt into this direction. It proposes an interpolation methodology, whose key idea is based on the interpolation of relations instead of interpolating /spl alpha/-cut distances, and which offers a way to derive a family of interpolation methods capable of eliminating some typical deficiencies of fuzzy rule interpolation techniques. The proposed concept of interpolating relations is elaborated here using fuzzy- and semantic-relations. This paper presents numerical examples, in comparison with former approaches, to show the effectiveness of the proposed interpolation methodology." }, { "paper": "1979941675", "venue": "11296630", "year": "2004", "title": "sensitivity kernels for finite frequency ocean acoustic observables", "label": [ "134306372" ], "author": [ "2463730113", "2466944338", "2089737966" ], "reference": [], "abstract": "wave theoretic modeling was applied to obtain sensitivity kernels representing the amount by which ocean acoustic observables such as pressure intensity or arrival times are affected by localized sound speed variations anywhere in the medium these kernels can be derived using the first born approximation yielding an integral representation of observable perturbations as functionals of sound speed perturbations the kernel in each integral represents the spatial sensitivity of the observable to sound speed perturbations in the medium the travel time sensitivity kernel represents a full wave generalization of the highly localized ray kernel from geometric optics this work extended recent wave theoretic results for the travel time sensitivity kernel for short range propagation in simple environments to long range transmissions in more complicated ocean environments relevant to ongoing propagation and inversion experiments it was shown that the geometry of the wave theoretic sensitivity kernels is re", "title_raw": "Sensitivity kernels for finite\u2010frequency ocean acoustic observables", "abstract_raw": "Wave theoretic modeling was applied to obtain sensitivity kernels representing the amount by which ocean acoustic observables, such as pressure, intensity, or arrival times, are affected by localized sound\u2010speed variations anywhere in the medium. These kernels can be derived using the first Born approximation, yielding an integral representation of observable perturbations as functionals of sound\u2010speed perturbations. The kernel in each integral represents the spatial sensitivity of the observable to sound\u2010speed perturbations in the medium. The travel\u2010time sensitivity kernel represents a full\u2010wave generalization of the highly localized ray kernel from geometric optics. This work extended recent wave\u2010theoretic results for the travel\u2010time sensitivity kernel for short\u2010range propagation in simple environments to long\u2010range transmissions in more complicated ocean environments relevant to ongoing propagation and inversion experiments. It was shown that the geometry of the wave\u2010theoretic sensitivity kernels is re..." }, { "paper": "2091738011", "venue": "50372074", "year": "2004", "title": "linear recursion formulas of quantities of singular point and applications", "label": [ "45374587", "90119067", "200917960", "134306372", "2777127463", "48753275", "28826006", "34628019", "168773036" ], "author": [ "2087164718", "2359201910" ], "reference": [ "1992942797", "1993902934", "2069228691", "2155247719", "2366782616" ], "abstract": "in this paper we study the algorithm of focus quantities and saddle quantities of a real planar autonomous differential system two linear recursion formulas for computation of quantities of singular point are obtained using the recursion formulas to compute focus quantities or saddle quantities of a real planar autonomous differential system we need only make use of four fundamental operation of arithmetic in the coefficients of the system then avoid complex integrating recursion operations which is necessary in more usual approaches therefore the calculation can be readily done with using computer symbol operation system such as mathematica they are far more practical than more usual approaches from the algorithmic point of view and by which the focus quantities and saddle quantities of a polynomial system can be computed and simplified in a much simpler way as a result of straightforward application we obtain with relative ease the first 8 focus quantities at origin of a cubic system and the sufficient and necessary conditions of integrability in the neighborhood of the origin of this system", "title_raw": "Linear recursion formulas of quantities of singular point and applications", "abstract_raw": "In this paper, we study the algorithm of focus quantities and saddle quantities of a real planar autonomous differential system. Two linear recursion formulas for computation of quantities of singular point are obtained. Using the recursion formulas to compute focus quantities or saddle quantities of a real planar autonomous differential system, we need only make use of four fundamental operation of arithmetic in the coefficients of the system, then avoid complex integrating recursion operations, which is necessary in more usual approaches. Therefore, the calculation can be readily done with using computer symbol operation system such as Mathematica. They are far more practical than more usual approaches from the algorithmic point of view, and by which, the focus quantities and saddle quantities of a polynomial system can be computed and simplified in a much simpler way. As a result of straightforward application, we obtain with relative ease the first 8 focus quantities at origin of a cubic system and the sufficient and necessary conditions of integrability in the neighborhood of the origin of this system." }, { "paper": "1997094376", "venue": "100601982", "year": "2004", "title": "spectral properties of the periodic magnetic schrodinger operator in the high energy region two dimensional case", "label": [ "2780990831", "142195825", "128803854", "93779851", "194800363", "158693339", "118299288" ], "author": [ "2029053515" ], "reference": [ "32016875", "74414222", "80146408", "425667511", "1552396534", "1569483620", "1575147392", "1575457779", "1592958377", "1666990292", "1833872213", "1871469706", "1983199177", "1989042489", "2001002726", "2017164049", "2020134704", "2028132575", "2033717340", "2045625419", "2054083339", "2059310275", "2060180604", "2088887724", "2092909324", "2092987417", "2189099962", "2798456356" ], "abstract": "the goal is to investigate spectral properties of the operator h i a x 2 a0 x in the two dimensional situation a x a0 x being periodic we construct asymptotic formulae for bloch eigenvalues and eigenfunctions in the high energy region describe properties of isoenergetic curves in the space of quasimomenta and give a new proof of the bethe sommerfeld conjecture", "title_raw": "Spectral Properties of the Periodic Magnetic Schr\u00f6dinger Operator in the High-Energy Region. Two-Dimensional Case", "abstract_raw": "The goal is to investigate spectral properties of the operator H=(\u2212i\u2207 +a(x))2+a0(x) in the two-dimensional situation, a(x), a0(x)) being periodic. We construct asymptotic formulae for Bloch eigenvalues and eigenfunctions in the high-energy region, describe properties of isoenergetic curves in the space of quasimomenta and give a new proof of the Bethe-Sommerfeld conjecture." }, { "paper": "1968792773", "venue": "50372074", "year": "2004", "title": "positive solutions of fourth order two point boundary value problems", "label": [ "202444582", "48753275", "2776548862", "45962547", "2776291640", "2524010", "182310444", "2781402861" ], "author": [ "2638970391" ], "reference": [ "1555674425", "1968827924", "1973571915", "1976015457", "1978810688", "2015002543", "2059518219" ], "abstract": "in this paper by using the krasnoselskii fixed point theorem we study the existence of one or multiple positive solution of the fourth order two point boundary value problem y 4 t f t y t y t y 0 y 1 y 0 y 1 0 we also give some examples to illustrate our results", "title_raw": "Positive solutions of fourth-order two point boundary value problems", "abstract_raw": "In this paper, by using the Krasnoselskii fixed point theorem, we study the existence of one or multiple positive solution of the fourth-order two point boundary value problem y^(^4^)(t)=f(t,y(t),y^'^'(t)), y(0)=y(1)=y^'^'(0)=y^'^'(1)=0. We also give some examples to illustrate our results." }, { "paper": "2063661747", "venue": "185067381", "year": "2004", "title": "finite range decomposition of gaussian processes", "label": [ "114614502", "4071166", "2777210771", "196267783", "181330731", "33676613", "191184047", "165700671" ], "author": [ "318274011", "2305337255", "2526197802" ], "reference": [ "1540174440", "1970446082", "1993001287", "2048117538", "2084498073", "2243321271", "2592037679", "2604292199", "2773602843", "3161960068" ], "abstract": "let be the finite difference laplacian associated to the lattice z d for dimension d 3 a 0 and l a sufficiently large positive dyadic integer we prove that the integral kernel of the resolvent g a a 1 can be decomposed as an infinite sum of positive semi definite functions v n of finite range v n x y 0 for x y o l n equivalently the gaussian process on the lattice with covariance g a admits a decomposition into independent gaussian processes with finite range covariances for a 0 v n has a limiting scaling form l n left d 2 right gamma c left tfrac x y l n right as n as a corollary such decompositions also exist for fractional powers 2 0 2 the results of this paper give an alternative to the block spin renormalization group on the lattice", "title_raw": "Finite Range Decomposition of Gaussian Processes", "abstract_raw": "Let \u0394 be the finite difference Laplacian associated to the lattice Z d . For dimension d\u22653, a\u22650, and L a sufficiently large positive dyadic integer, we prove that the integral kernel of the resolvent G a \u2254(a\u2212\u0394)\u22121 can be decomposed as an infinite sum of positive semi-definite functions V n of finite range, V n (x\u2212y)=0 for |x\u2212y|\u2265O(L) n . Equivalently, the Gaussian process on the lattice with covariance G a admits a decomposition into independent Gaussian processes with finite range covariances. For a=0, V n has a limiting scaling form \\(L^{ - n\\left( {d - 2} \\right)} \\Gamma _{c,*} \\left( {\\tfrac{{x - y}}{{L^n }}} \\right)\\) as n\u2192\u221e. As a corollary, such decompositions also exist for fractional powers (\u2212\u0394)\u2212\u03b1/2, 0<\u03b1\u22642. The results of this paper give an alternative to the block spin renormalization group on the lattice." }, { "paper": "2118782705", "venue": "897311980", "year": "2004", "title": "singular stochastic control problems", "label": [ "135909967", "170131372", "126255220", "99414536", "91575142", "91581856", "99888217", "2777984672", "79699506" ], "author": [ "2106950766", "2112397181" ], "reference": [ "37885400", "175238066", "901835621", "1545370368", "1558902221", "1573249148", "1575420199", "1580561995", "1968586797", "1972350190", "1974932729", "1976984865", "1977361400", "1978492332", "1995522593", "1998107368", "2001506475", "2004781836", "2033204695", "2043278713", "2043854977", "2045766027", "2047948346", "2052284267", "2053211028", "2054061677", "2058819565", "2060061508", "2060950178", "2079246218", "2081828754", "2083138764", "2090069891", "2091303169", "2094591480", "2149081875", "2149397974", "2178119297", "2184067402", "2490762217" ], "abstract": "in this paper we study an optimal singular stochastic control problem by using a time transformation this problem is shown to be equivalent to an auxiliary control problem defined as a combination of an optimal stopping problem and a classical control problem for this auxiliary control problem the controller must choose a stopping time optimal stopping and the new control variables belong to a compact set this equivalence is obtained by showing that the discontinuous state process governed by a singular control is given by a time transformation of an auxiliary state process governed by a classical bounded control it is proved that the value functions for these two problems are equal for a general form of the cost the existence of an optimal singular control is established under certain technical hypotheses moreover the problem of approximating singular optimal control by absolutely continuous controls is discussed in the same class of admissible controls", "title_raw": "Singular Stochastic Control Problems", "abstract_raw": "In this paper, we study an optimal singular stochastic control problem. By using a time transformation, this problem is shown to be equivalent to an auxiliary control problem defined as a combination of an optimal stopping problem and a classical control problem. For this auxiliary control problem, the controller must choose a stopping time (optimal stopping), and the new control variables belong to a compact set. This equivalence is obtained by showing that the (discontinuous) state process governed by a singular control is given by a time transformation of an auxiliary state process governed by a classical bounded control. It is proved that the value functions for these two problems are equal. For a general form of the cost, the existence of an optimal singular control is established under certain technical hypotheses. Moreover, the problem of approximating singular optimal control by absolutely continuous controls is discussed in the same class of admissible controls." }, { "paper": "2048395858", "venue": "200871675", "year": "2004", "title": "a filtration model with hysteresis", "label": [ "202973686", "134306372" ], "author": [ "2620611073" ], "reference": [ "104056143", "406374741", "1526521272", "1582617215", "1597209545", "1970489460", "2023810270", "2035574994", "2050721454", "2061106901", "2077106134", "2077965193", "2081354932", "2085740870", "2091930697", "2102172324", "2134166909", "2146136729", "2328147477", "2369386221", "2582171088", "3021722416", "3091814460" ], "abstract": "abstract we study a filtration model for which a hysteresis effect is accounted in the saturation versus pressure constitutive relation the problem is formulated in a quasi variational inequality we prove the existence of a time global solution", "title_raw": "A filtration model with hysteresis", "abstract_raw": "Abstract We study a filtration model for which a hysteresis effect is accounted in the saturation versus pressure constitutive relation. The problem is formulated in a quasi-variational inequality. We prove the existence of a time global solution." }, { "paper": "1967506572", "venue": "50372074", "year": "2004", "title": "predictor corrector iterative algorithms for solving generalized mixed variational like inequalities", "label": [ "48753275", "159694833", "161999928", "157977623", "45555294", "11413529", "72169020" ], "author": [ "2639583025" ], "reference": [ "1994971203", "2004326643", "2009870300", "2010533010", "2022028842", "2029475968", "2032778371", "2071764513", "2093246563", "2095046228", "2095534080", "2110057216", "2151135593", "2348880722", "2378645356" ], "abstract": "the concept of partially relaxed h strong monotonicity of set valued mappings is introduced by applying the auxiliary variational inequality technique some new predictor corrector iterative algorithms for solving generalized mixed variational like inequalities are suggested and analyzed the convergence of the algorithms only need the continuity and the partially relaxed h strongly monotonicity of set valued mappings the algorithm and convergence result are new and generalize some known results in literatures", "title_raw": "Predictor-corrector iterative algorithms for solving generalized mixed variational-like inequalities", "abstract_raw": "The concept of partially relaxed @h-strong monotonicity of set-valued mappings is introduced. By applying the auxiliary variational inequality technique, some new predictor-corrector iterative algorithms for solving generalized mixed variational-like inequalities are suggested and analyzed. The convergence of the algorithms only need the continuity and the partially relaxed @h-strongly monotonicity of set-valued mappings. The algorithm and convergence result are new, and generalize some known results in literatures." }, { "paper": "2049952557", "venue": "53336109", "year": "2004", "title": "drag on a flat plate in low reynolds number gas flows", "label": [ "2524010" ], "author": [ "2281380132", "2139943008" ], "reference": [ "70668290", "241545936", "343678542", "366234908", "1505677010", "1507795625", "1967830076", "1974810251", "1992116662", "2011362016", "2024809291", "2026326490", "2037198086", "2038569803", "2044040248", "2053630188", "2081367834", "2087589180", "2089148049", "2093811908", "2100295054", "2104181738", "2145291132", "2145707923", "2154218800" ], "abstract": "airflow over a flat plate at zero incidence is investigated as a function of the reynolds number re and the mach number m under subsonic low reynolds number conditions the flows are simulated using the direct simulation monte carlo dsmc method and the information preservation ip method that is a modified dsmc method developed for low speed rarefied gas flows good agreement is obtained between the dsmc and ip results and between the ip results and available experimental data the simulations predict that the drag coefficient on the flat plate depends on the reynolds number and the mach number and both the rarefied and compressible effects on the drag coefficient increase when the flow reynolds number decreases it is found that the normalized drag cd m depends on re m 0 8 when this parameter varies between 1 and 100 which suggests a scaling law for engineering analysis", "title_raw": "Drag on a Flat Plate in Low-Reynolds-Number Gas Flows", "abstract_raw": "Airflow over a flat plate at zero incidence is investigated as a function of the Reynolds number Re and the Mach number M under subsonic, low-Reynolds-number conditions. The flows are simulated using the direct simulation Monte Carlo (DSMC) method and the information preservation (IP) method that is a modified DSMC method developed for low-speed rarefied gas flows. Good agreement is obtained between the DSMC and IP results and between the IP results and available experimental data. The simulations predict that the drag coefficient on the flat plate depends on the Reynolds number and the Mach number, and both the rarefied and compressible effects on the drag coefficient increase when the flow Reynolds number decreases. It is found that the normalized drag CD \u00b7 M depends on \u221a (Re)/M 0.8 when this parameter varies between 1 and 100, which suggests a scaling law for engineering analysis." }, { "paper": "2101976452", "venue": "134818455", "year": "2004", "title": "erratum on schrodinger maps", "label": [ "194800363", "37914503" ], "author": [ "118829727", "2326818119", "157459530" ], "reference": [ "1483394393", "1530559435", "1606424902", "1848324196", "1872109994", "1996949039", "2009253419", "2022150597", "2035093985", "2047689815", "2058080783", "2062892795", "2088258063", "2090628584", "2094983924", "2125279937" ], "abstract": "", "title_raw": "Erratum: On Schr\u00f6dinger maps", "abstract_raw": "" }, { "paper": "2041889080", "venue": "73535193", "year": "2004", "title": "searching for primes in the digits of \u03c0", "label": [ "195562269", "94375191" ], "author": [ "2672114312", "2715651790", "2153690610" ], "reference": [ "750275602", "1598664776", "2011080089", "2064596147", "2159341052" ], "abstract": "many people are fascinated by p vast amounts of human and computer resourceshave been spent producing billions of its digits similarly many people are intrigued by primes how many primes are there within the digits of p how many can we expect to find we present the results of some computer searches and develop a theory to predict how many of these primes extensive computer searches are likely to find", "title_raw": "Searching for primes in the digits of \u03c0", "abstract_raw": "Many people are fascinated by @p Vast amounts of human and computer resourceshave been spent producing billions of its digits. Similarly, many people are intrigued by primes. How many primes are there within the digits of @p? How many can we expect to find? We present the results of some computer searches and develop a theory to predict how many of these primes extensive computer searches are likely to find." }, { "paper": "2170163526", "venue": "115304631", "year": "2004", "title": "gradient based multiresolution image fusion", "label": [ "9417928", "115680565", "69744172", "79284318" ], "author": [ "1967531925", "2080036799" ], "reference": [ "1601835124", "1752760603", "1964257080", "1964767476", "1970352604", "1979908666", "1986490154", "2028555274", "2048913467", "2067945592", "2091484864", "2092311609", "2096694184", "2116044718", "2132746638", "2132984323", "2143696753", "2148236753", "2152959827", "2153639720", "2160352516" ], "abstract": "a novel approach to multiresolution signal level image fusion is presented for accurately transferring visual information from any number of input image signals into a single fused image without loss of information or the introduction of distortion the proposed system uses a fuse then decompose technique realized through a novel fusion decomposition system architecture in particular information fusion is performed on a multiresolution gradient map representation domain of image signal information at each resolution input images are represented as gradient maps and combined to produce new fused gradient maps fused gradient map signals are processed using gradient filters derived from high pass quadrature mirror filters to yield a fused multiresolution pyramid representation the fused output image is obtained by applying on the fused pyramid a reconstruction process that is analogous to that of conventional discrete wavelet transform this new gradient fusion significantly reduces the amount of distortion artefacts and the loss of contrast information usually observed in fused images obtained from conventional multiresolution fusion schemes this is because fusion in the gradient map domain significantly improves the reliability of the feature selection and information fusion processes fusion performance is evaluated through informal visual inspection and subjective psychometric preference tests as well as objective fusion performance measurements results clearly demonstrate the superiority of this new approach when compared to conventional fusion systems", "title_raw": "Gradient-based multiresolution image fusion", "abstract_raw": "A novel approach to multiresolution signal-level image fusion is presented for accurately transferring visual information from any number of input image signals, into a single fused image without loss of information or the introduction of distortion. The proposed system uses a \"fuse-then-decompose\" technique realized through a novel, fusion/decomposition system architecture. In particular, information fusion is performed on a multiresolution gradient map representation domain of image signal information. At each resolution, input images are represented as gradient maps and combined to produce new, fused gradient maps. Fused gradient map signals are processed, using gradient filters derived from high-pass quadrature mirror filters to yield a fused multiresolution pyramid representation. The fused output image is obtained by applying, on the fused pyramid, a reconstruction process that is analogous to that of conventional discrete wavelet transform. This new gradient fusion significantly reduces the amount of distortion artefacts and the loss of contrast information usually observed in fused images obtained from conventional multiresolution fusion schemes. This is because fusion in the gradient map domain significantly improves the reliability of the feature selection and information fusion processes. Fusion performance is evaluated through informal visual inspection and subjective psychometric preference tests, as well as objective fusion performance measurements. Results clearly demonstrate the superiority of this new approach when compared to conventional fusion systems." }, { "paper": "2068363969", "venue": "148709879", "year": "2004", "title": "asymptotic diffusion limit of the symbolic monte carlo method for the transport equation", "label": [ "5917680", "19499675", "17456955", "2779554487", "205147927", "17095337", "28826006", "164660894" ], "author": [ "2650657186", "2642947152" ], "reference": [ "1537442283", "1553130110", "1975275259", "2013252713", "2067813500", "2075829364", "2104894993", "2110804513", "2592479139", "3135227555" ], "abstract": "we use asymptotic analysis to study the diffusion limit of the symbolic implicit monte carlo simc method for the transport equation for standard simc with piecewise constant basis functions we demonstrate mathematically that the solution converges to the solution of a wrong diffusion equation nevertheless a simple extension to piecewise linear basis functions enables to obtain the correct solution we present numerical examples which illustrate the analysis", "title_raw": "Asymptotic diffusion limit of the symbolic Monte-Carlo method for the transport equation", "abstract_raw": "We use asymptotic analysis to study the diffusion limit of the Symbolic Implicit Monte-Carlo (SIMC) method for the transport equation. For standard SIMC with piecewise constant basis functions, we demonstrate mathematically that the solution converges to the solution of a wrong diffusion equation. Nevertheless a simple extension to piecewise linear basis functions enables to obtain the correct solution. We present numerical examples which illustrate the analysis." }, { "paper": "3103630812", "venue": "185067381", "year": "2004", "title": "a counter example to the theorem of hiemer and snurnikov", "label": [ "114614502", "193605512", "79379906", "162838799", "162392398" ], "author": [ "1250495830" ], "reference": [ "1591790937", "1595989395", "1800062567" ], "abstract": "a planar polygonal billiard mathcal p is said to have the finite blocking property if for every pair o a of points in mathcal p there exists a finite number of blocking points b 1 b n such that every billiard trajectory from o to a meets one of the b i s as a counter example to a theorem of hiemer and snurnikov we construct a family of rational billiards that lack the finite blocking property", "title_raw": "A Counter-Example to the Theorem of Hiemer and Snurnikov", "abstract_raw": "A planar polygonal billiard \n$$\\mathcal{P}$$\n\n is said to have the finite blocking property if for every pair (O, A) of points in \n$$\\mathcal{P}$$\n\n there exists a finite number of \u201cblocking\u201d points B\n1,...,B\n\n n\n such that every billiard trajectory from O to A meets one of the B\n\n i\n 's. As a counter-example to a theorem of Hiemer and Snurnikov, we construct a family of rational billiards that lack the finite blocking property." }, { "paper": "2006776198", "venue": "148709879", "year": "2004", "title": "a parallel recursive algorithm", "label": [ "11413529", "126255220", "37724570", "113313756", "137127113", "59696629", "120373497", "158693339" ], "author": [ "3121838102" ], "reference": [ "574423895", "649763898", "1491443041", "1566979033", "1967529415", "2005804070", "2012226077", "2025529701", "2046707209", "2081612620", "2083154122" ], "abstract": "an algorithm is discussed for converting a class of recursive processes to a parallel system it is argued that this algorithm can be superior to certain methods currently found in the literature for an important subset of problems the cases of homogeneous and non homogeneous two term recursions are treated the basic cost factor of the algorithm over non parallel operations is 2 if only the final values of the sequence is needed and 4 if all elements are required in practice these factors can be reduced considerably applications to three problems finding the eigenvalues of a tri diagonal matrix the solution of a radial wave equation and the solution of a tri diagonal matrix are discussed", "title_raw": "A parallel/recursive algorithm", "abstract_raw": "An algorithm is discussed for converting a class of recursive processes to a parallel system. It is argued that this algorithm can be superior to certain methods currently found in the literature for an important subset of problems. The cases of homogeneous and non-homogeneous two term recursions are treated. The basic cost factor of the algorithm over non-parallel operations is 2 if only the final values of the sequence is needed and 4 if all elements are required. In practice, these factors can be reduced considerably. Applications to three problems (finding the eigenvalues of a tri-diagonal matrix, the solution of a radial wave equation and the solution of a tri-diagonal matrix) are discussed." }, { "paper": "2015463651", "venue": "151579836", "year": "2004", "title": "on the nonlinear wave equation utt b t u 2 ux 2 uxx f x t u ux ut u 2 ux 2 associated with the mixed homogeneous conditions", "label": [ "134306372", "114614502" ], "author": [ "2621982711" ], "reference": [ "1483030508", "1515623627", "1990124464", "1999871732", "2039431161", "2052892991", "2077011176", "2083295187", "2100885122", "2337805856", "2369742615", "2565795488", "2567389492", "2984745362", "3091814460" ], "abstract": "abstract in this paper we consider the following nonlinear wave equation 1 u tt b t u x 2 u xx f x t u u x u t u x 2 x 0 1 0 2 u x 0 t h 0 u 0 t g 0 t u 1 t g 1 t 3 u x 0 u 0 x u t x 0 u 1 x where b f g 0 g 1 u 0 u 1 are given functions in eq 1 the nonlinear terms b t u x 2 f x t u u x u t u x 2 depending on an integral u x 2 0 1 u x x t 2 dx in this paper we associate with problem 1 3 a linear recursive scheme for which the existence of a local and unique solution is proved by using standard compactness argument in case of b c 3 r 2 b b 0 0 b 1 c 2 r 2 b 1 0 f c 3 0 1 r r 3 r and f 1 c 2 0 1 r r 3 r we obtain from the equation u tt b t u x 2 eb 1 t u x 2 u xx f x t u u x u t u x 2 ef 1 x t u u x u t u x 2 associated to 2 3 a weak solution u e x t having an asymptotic expansion of order 3 in e for e sufficiently small", "title_raw": "On the nonlinear wave equation utt\u2212B(t,\u2016u\u20162,\u2016ux\u20162)uxx=f(x,t,u,ux,ut,\u2016u\u20162,\u2016ux\u20162) associated with the mixed homogeneous conditions", "abstract_raw": "Abstract In this paper we consider the following nonlinear wave equation (1) u tt \u2212B t,\u2016u x \u2016 2 u xx =f x,t,u,u x ,u t ,\u2016u x \u2016 2 , x\u2208\u03a9=(0,1), 0 (2) u x (0,t)\u2212h 0 u(0,t)=g 0 (t), u(1,t)=g 1 (t), (3) u(x,0)= u 0 (x), u t (x,0)= u 1 (x), where B,f,g 0 ,g 1 , u 0 , u 1 are given functions. In Eq.\u00a0(1), the nonlinear terms B ( t ,\u2016 u x \u2016 2 ), f ( x , t , u , u x , u t ,\u2016 u x \u2016 2 ) depending on an integral \u2016u x \u2016 2 =\u222b 0 1 |u x (x,t)| 2 dx . In this paper we associate with problem (1)\u2013(3) a linear recursive scheme for which the existence of a local and unique solution is proved by using standard compactness argument. In case of B \u2208 C 3 ( R + 2 ), B \u2a7e b 0 >0, B 1 \u2208 C 2 ( R + 2 ), B 1 \u2a7e0, f \u2208 C 3 ([0,1]\u00d7 R + \u00d7 R 3 \u00d7 R + ) and f 1 \u2208 C 2 ([0,1]\u00d7 R + \u00d7 R 3 \u00d7 R + ) we obtain from the equation u tt \u2212[ B ( t ,\u2016 u x \u2016 2 )+ eB 1 ( t ,\u2016 u x \u2016 2 )] u xx = f ( x , t , u , u x , u t ,\u2016 u x \u2016 2 )+ ef 1 ( x , t , u , u x , u t ,\u2016 u x \u2016 2 ) associated to\u00a0(2), (3) a weak solution u e ( x , t ) having an asymptotic expansion of order\u00a03 in e , for e sufficiently small." }, { "paper": "2162236177", "venue": "168680287", "year": "2004", "title": "a rate distortion optimal alternative to matching pursuit", "label": [ "156872377", "60603091", "126255220", "64185310", "124066611", "165021410", "159694833", "70567897" ], "author": [ "2041790175", "2923286929", "1984946061" ], "reference": [ "205850768", "641296262", "1608472120", "1994062510", "2023630749", "2024962498", "2028781966", "2105718745", "2106448014", "2109021821", "2151693816", "2152486668", "2165500573" ], "abstract": "this paper presents a method to find the operational rate distortion optimal solution for an overcomplete signal decomposition the idea of using overcomplete dictionaries or frames is to get a sparse representation of the signal traditionally suboptimal algorithms such as matching pursuit mp are used for this purpose when using frames in a lossy compression scheme the major issue is to find the best possible rate distortion rd tradeoff given the frame and the variable length code vlc table embedded in the entropy coder the solution to the problem of establishing the best rd tradeoff is highly complex the proposed approach reduces this complexity significantly by structuring the solution approach such that the dependent quantizer allocation problem reduces to an independent one in addition the use of a solution tree further reduces the complexity it is important to note that this large reduction in complexity is achieved without sacrificing optimality the optimal rate distortion solution depends on the selection of the frame and the vlc table embedded in the entropy coder thus frame design and vlc optimization is part of this work we experimentally demonstrate that the new approach outperforms rate distortion optimized rdo matching pursuit previously proposed by gharavi alkhansari", "title_raw": "A rate-distortion optimal alternative to matching pursuit", "abstract_raw": "This paper presents a method to find the operational rate-distortion optimal solution for an overcomplete signal decomposition. The idea of using overcomplete dictionaries, or frames, is to get a sparse representation of the signal. Traditionally, suboptimal algorithms, such as matching pursuit (MP), are used for this purpose. When using frames in a lossy compression scheme, the major issue is to find the best possible rate-distortion (RD) tradeoff. Given the frame and the variable length code (VLC) table embedded in the entropy coder, the solution to the problem of establishing the best RD tradeoff is highly complex. The proposed approach reduces this complexity significantly by structuring the solution approach such that the dependent quantizer allocation problem reduces to an independent one. In addition, the use of a solution tree further reduces the complexity. It is important to note that this large reduction in complexity is achieved without sacrificing optimality. The optimal rate-distortion solution depends on the selection of the frame and the VLC table embedded in the entropy coder. Thus, frame design and VLC optimization is part of this work. We experimentally demonstrate that the new approach outperforms rate-distortion optimized (RDO) matching pursuit, previously proposed by Gharavi-Alkhansari." }, { "paper": "2014838036", "venue": "104894821", "year": "2004", "title": "topological hypercovers and 1 realizations", "label": [ "79236096", "159876591", "147688034", "126794175", "81332173", "119720664", "527218924", "118615104", "6976274", "107773030" ], "author": [ "2334914380", "2122694296" ], "reference": [ "164636042", "641742619", "1540633728", "1547498775", "1577530644", "1580630207", "1583122470", "1992831671", "2010346873", "2029589221", "2033501308", "2043445128", "2046926662", "2052499574", "2054655041", "2073909098", "2130762722", "2155673231", "2181384054", "2317653596", "3045941611" ], "abstract": "we show that if u is a hypercover of a topological space x then the natural map hocolim u x is a weak equivalence this fact is used to construct topological realization functors for the 1 homotopy theory of schemes over real and complex fields in an appendix we also prove a theorem about computing homotopy colimits of spaces that are not cofibrant", "title_raw": "Topological hypercovers and 1-realizations", "abstract_raw": "We show that if U * is a hypercover of a topological space X then the natural map hocolim U * \u2192 X is a weak equivalence. This fact is used to construct topological realization functors for the 1-homotopy theory of schemes over real and complex fields. In an appendix, we also prove a theorem about computing homotopy colimits of spaces that are not cofibrant." }, { "paper": "1992901075", "venue": "24688465", "year": "2004", "title": "pattern formation and nuclear divisions are uncoupled in drosophila segmentation comparison of spatially discrete and continuous models", "label": [ "93779851", "164380108", "2524010", "76969082" ], "author": [ "1912068731", "2124806122", "2104210608", "2051346211", "2106317043" ], "reference": [ "19078162", "1555287522", "1576847343", "1753629831", "1781095925", "1815472980", "1907366554", "1911834239", "1963958966", "1964755299", "1966188465", "1980661496", "1989284002", "1997664026", "2000139612", "2000572318", "2010586622", "2015100891", "2019562739", "2036338631", "2039813668", "2048013262", "2048089231", "2053119328", "2055122486", "2056752656", "2058375169", "2086837518", "2088667155", "2089390657", "2090359786", "2091154399", "2257609781", "2418950590", "2431267004", "2798500587", "3145205540" ], "abstract": "we study the relationship between pattern formation in drosophila segment determination and nuclear structure by replacing the nuclei by a homogeneous continuum because this replacement cannot be performed experimentally mathematical simulation is applied by transforming a previously published model of the segmentation system formulated in terms of explicit nuclear structure into partial differential equations this transformation has changed the mathematical type of model equations and is therefore interpreted as a structural perturbation of the model parameter values are found for three continuum models by means of a new optimal steepest descent algorithm each of these models contains a different mathematical representation of nuclear divisions mitoses we obtained correct pattern dynamics from all of them as well as from the model with explicit nuclear structure this leads us to conclude that nuclear divisions are not coupled to pattern formation and serve only to populate the blastoderm with nuclei we also investigate whether the calculated patterns in the developmental period modelled resemble their attractors and find that they fail to do so the implications of our results for models of biological pattern formation based on partial differential equations are discussed", "title_raw": "Pattern formation and nuclear divisions are uncoupled in Drosophila segmentation: comparison of spatially discrete and continuous models", "abstract_raw": "We study the relationship between pattern formation in Drosophila segment determination and nuclear structure by replacing the nuclei by a homogeneous continuum. Because this replacement cannot be performed experimentally, mathematical simulation is applied by transforming a previously published model of the segmentation system formulated in terms of explicit nuclear structure into partial differential equations. This transformation has changed the mathematical type of model equations and is therefore interpreted as a structural perturbation of the model. Parameter values are found for three continuum models by means of a new optimal steepest descent algorithm. Each of these models contains a different mathematical representation of nuclear divisions (mitoses). We obtained correct pattern dynamics from all of them, as well as from the model with explicit nuclear structure. This leads us to conclude that nuclear divisions are not coupled to pattern formation and serve only to populate the blastoderm with nuclei. We also investigate whether the calculated patterns in the developmental period modelled resemble their attractors, and find that they fail to do so. The implications of our results for models of biological pattern formation based on partial differential equations are discussed." }, { "paper": "2170387336", "venue": "125754415", "year": "2004", "title": "consistency of a counterexample to naimark s problem", "label": [ "2778085034", "118615104", "62799726", "167729594", "162838799", "103896604", "2776051582", "192034797" ], "author": [ "130317062", "2192515773" ], "reference": [ "647055910", "1538681947", "1544022757", "1557857086", "1971917766", "1978413491", "1991367302", "1998341651", "2045066351", "2053662828", "2082013295", "2082393081", "2315574934", "2317845448", "2328539796", "2331445033", "2504215107", "2962903698" ], "abstract": "we construct a c algebra that has only one irreducible representation up to unitary equivalence but is not isomorphic to the algebra of compact operators on any hilbert space this answers an old question of naimark our construction uses a combinatorial statement called the diamond principle which is known to be consistent with but not provable from the standard axioms of set theory assuming that these axioms are consistent we prove that the statement there exists a counterexample to naimark s problem which is generated by elements is undecidable in standard set theory", "title_raw": "Consistency of a counterexample to Naimark's problem.", "abstract_raw": "We construct a C*-algebra that has only one irreducible representation up to unitary equivalence but is not isomorphic to the algebra of compact operators on any Hilbert space. This answers an old question of Naimark. Our construction uses a combinatorial statement called the diamond principle, which is known to be consistent with but not provable from the standard axioms of set theory (assuming that these axioms are consistent). We prove that the statement \u201cthere exists a counterexample to Naimark's problem which is generated by elements\u201d is undecidable in standard set theory." }, { "paper": "2013645563", "venue": "103321696", "year": "2004", "title": "the analytic hierarchy process and multiobjective 0 1 faculty course assignment", "label": [ "30202268", "126255220", "2777423538", "87345402", "85044808", "194146004", "158968445" ], "author": [ "2104558940", "1394723612" ], "reference": [ "11730922", "67294476", "184567933", "1531386198", "1561610472", "1595267951", "1883366561", "1977591801", "1990473129", "2029959702", "2058090606", "2060366173", "2061955212", "2074909374", "2076259622", "2119485964" ], "abstract": "abstract this paper gives a general model for the faculty course assignment problem that is a zero one nonlinear multiobjective programming problem because of the nonconvexity of the problem simple weighting scalarization does not guarantee finding all pareto optimal solutions therefore a newly developed three step process consisting of the analytic hierarchy process scalarization and the subgradient method is provided to deal with the problem this approach is used to solve a nonconvex multiobjective faculty course assignment problem for the first time a real life application is included", "title_raw": "The analytic hierarchy process and multiobjective 0\u20131 faculty course assignment", "abstract_raw": "Abstract This paper gives a general model for the faculty course assignment problem that is a zero\u2013one nonlinear multiobjective programming problem. Because of the nonconvexity of the problem, simple weighting scalarization does not guarantee finding all Pareto-optimal solutions. Therefore, a newly developed three step process consisting of the Analytic Hierarchy Process, scalarization and the subgradient method is provided to deal with the problem. This approach is used to solve a nonconvex multiobjective faculty course assignment problem for the first time. A real life application is included." }, { "paper": "2393594433", "venue": "59933527", "year": "2004", "title": "a hybrid genetic algorithm integrated with sequential linear programming", "label": [ "115527620", "52486349", "6135463", "205658194", "41045048", "144521790", "11413529", "126255220", "8880873", "198927703" ], "author": [ "2460069096" ], "reference": [], "abstract": "a new hybrid genetic algorithm is proposed for nonlinear programming problems in this paper which combines genetic algorithm ga with sequential linear programming method during the iterative computation process if crossover or mutation operation don t happen at the iterative points in the ga the objective function and constraints at these points will be linearized in order to satisfy the constraints within the neighborhood of these points this paper considers adding soft constraints and the linearized optimization problem can be solved with the linear programming the new hybrid genetic algorithm is globally convergent it does not require that the iterative points must be feasible simulation results show that the algorithm is effective and reasonable", "title_raw": "A Hybrid Genetic Algorithm Integrated with Sequential Linear Programming", "abstract_raw": "A new hybrid genetic algorithm is proposed for nonlinear programming problems in this paper, which combines genetic algorithm ( GA) with sequential linear programming method. During the iterative computation process, if crossover or mutation operation don' t happen at the iterative points in the GA, the objective function and constraints at these points will be linearized. In order to satisfy the constraints within the neighborhood of these points, this paper considers adding soft constraints, and the linearized optimization problem can be solved with the linear programming. The new hybrid genetic algorithm is globally convergent; it does not require that the iterative points must be feasible. Simulation results show that the algorithm is effective and reasonable." }, { "paper": "33288189", "venue": "196139623", "year": "2004", "title": "da 2 merging operators", "label": [ "118615104", "2776013622", "179799912", "165464430" ], "author": [ "2104136422", "2110706514", "1995690015" ], "reference": [ "26772505", "48425311", "67911545", "68902303", "71638810", "84416295", "102318603", "153310096", "163597783", "189683959", "189809088", "265332988", "654187495", "1534361892", "1534363759", "1549828304", "1555877973", "1580912953", "1602390698", "1606392458", "1870018878", "1982345710", "2007807962", "2011524629", "2013788787", "2025889479", "2031391348", "2036368940", "2060907774", "2061146398", "2072230809", "2088044688", "2103361005", "2116204363", "2123555667", "2124299249", "2139807330", "2148105490", "2149420462", "2160579271", "2277514732" ], "abstract": "a new framework for propositional merging is presented da2 merging operators parameterized by a distance between interpretations and two aggregation functions are introduced many distances and aggregation functions can be used and many merging operators already defined in the literature including both model based ones and syntax based ones can be encoded as specific da2 operators both logical and complexity properties of those operators are studied an important result is that under very weak assumptions query entailment from merged bases is only at the first level of the polynomial hierarchy when any of the da2 operators is used as a by product complexity results for several existing merging operators are derived as well", "title_raw": "DA 2 merging operators", "abstract_raw": "A new framework for propositional merging is presented. DA2 merging operators, parameterized by a distance between interpretations and two aggregation functions, are introduced. Many distances and aggregation functions can be used and many merging operators already defined in the literature (including both model-based ones and syntax-based ones) can be encoded as specific DA2 operators. Both logical and complexity properties of those operators are studied. An important result is that (under very weak assumptions) query entailment from merged bases is \"only\" at the first level of the polynomial hierarchy when any of the DA2 operators is used. As a by-product, complexity results for several existing merging operators are derived as well." }, { "paper": "1982059917", "venue": "53336109", "year": "2004", "title": "combined approximations for efficient probalistic analysis of structures", "label": [ "11413529", "149441793", "137343772", "197055811", "135628077", "19499675", "24404364", "200860826", "12426560" ], "author": [ "2627951535", "2292804778", "2639227909", "1932121465" ], "reference": [ "44095805", "79077746", "650024566", "1483822765", "1495049647", "1545748428", "1965183653", "1967205053", "1977967781", "1978942291", "1982762858", "1985747458", "1995610688", "1998803539", "2003449296", "2007976466", "2016477884", "2018380937", "2023890701", "2031265678", "2035528165", "2045042756", "2060420399", "2061246227", "2063320036", "2072596017", "2075655306", "2075795262", "2083772896", "2085815209", "2102093287", "2132567856", "2134991963", "2167634287", "2176255249", "2332460501" ], "abstract": "real life analysis and design problems involve uncertainties quantification of the uncertainties in a system s response is important and requires a probabilistic analysis of the system a main challenge in probabilistic analysis of large structural systems is the high computational effort due to the multiple repeated analyses involved the combined approximations ca method which combines the strengths of both local and global approximations can be used for efficient probabilistic analysis of structures the ca method is a combination of binomial series local approximations also called neumann expansion approximations and reduced basis global approximations an efficient method is presented for probabilistic analysis of structural systems using the ca method the effectiveness of this method is demonstrated on analysis of mistuned bladed disk assemblies and systems with progressive collapse using monte carlo simulation it is shown that the method can predict accurately the probability distribution function of the responses of these systems at a considerably lower cost than a method using finite element analysis in each cycle of monte carlo simulation", "title_raw": "Combined Approximations for Efficient Probalistic Analysis of Structures", "abstract_raw": "Real-life analysis and design problems involve uncertainties. Quantification of the uncertainties in a system's response is important and requires a probabilistic analysis of the system. A main challenge in probabilistic analysis of large structural systems is the high computational effort due to the multiple repeated analyses involved. The combined approximations (CA) method, which combines the strengths of both local and global approximations, can be used for efficient probabilistic analysis of structures. The CA method is a combination of binomial series (local) approximations (also called Neumann expansion approximations) and reduced basis (global) approximations. An efficient method is presented for probabilistic analysis of structural systems using the CA method. The effectiveness of this method is demonstrated on analysis of mistuned bladed disk assemblies and systems with progressive collapse using Monte Carlo simulation. It is shown that the method can predict accurately the probability distribution function of the responses of these systems at a considerably lower cost than a method using finite element analysis in each cycle of Monte Carlo simulation." }, { "paper": "2005642238", "venue": "51360982", "year": "2004", "title": "multirate versions of sampled data stabilization of nonlinear systems", "label": [ "55689738", "41949839", "156996364", "79699506", "65244806", "158622935", "127349201", "91581856", "167964875" ], "author": [ "2117231898", "2144301177" ], "reference": [ "54829291", "194760289", "1487112583", "1511275238", "1986319312", "2020327078", "2031096847", "2079121704", "2106968800", "2138062125", "2143741011", "2145317695", "2151807147", "2165367062", "2167078105", "2167501464" ], "abstract": "the problem of state feedback sampled data stabilization of nonlinear systems is considered under the low measurement rate constraint and in the presence of not necessarily small time delay in the measurement channel a multirate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the current state from the delayed measurements for both the controller emulation approach and the approach based on approximate discrete time model of the system we show that under standard assumptions the closed loop multirate sampled data system is asymptotically stable in the semiglobal practical sense an illustrative example of sampled data control of vertical take off and landing aircraft is discussed", "title_raw": "Multirate versions of sampled-data stabilization of nonlinear systems", "abstract_raw": "The problem of state feedback sampled-data stabilization of nonlinear systems is considered under the ''low measurement rate'' constraint and in the presence of (not necessarily small) time delay in the measurement channel. A multirate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the current state from the delayed measurements. For both the controller emulation approach and the approach based on approximate discrete-time model of the system, we show that under standard assumptions the closed-loop multirate sampled data system is asymptotically stable in the semiglobal practical sense. An illustrative example of sampled-data control of vertical take off and landing aircraft is discussed." }, { "paper": "2070479698", "venue": "73535193", "year": "2004", "title": "a generalized upper and lower solution method for singular initial value problems", "label": [ "200917960", "139676723", "27574286", "158622935", "26955809", "135909967", "134306372" ], "author": [ "2222379030", "2140111608", "353543658", "2576920546" ], "reference": [ "583292912", "1990616325", "2006115790", "2052978535", "2069712418", "2079467385" ], "abstract": "abstract this paper presents new existence results for singular initial value problems in particular our nonlinearity may be singular in its dependent variable and is allowed to change sign", "title_raw": "A generalized upper and lower solution method for singular initial value problems", "abstract_raw": "Abstract This paper presents new existence results for singular initial value problems. In particular, our nonlinearity may be singular in its dependent variable and is allowed to change sign." }, { "paper": "2015512446", "venue": "100601982", "year": "2004", "title": "tensor gauge fields in arbitrary representations of gl d \u211d duality and poincare lemma", "label": [ "196018077", "202444582", "125565743", "65266758", "155281189", "185503591", "10927425", "78606066", "177148314", "181830111" ], "author": [ "2302764915", "2094553996" ], "reference": [ "1804714334", "2088227965", "2148186431" ], "abstract": "using a mathematical framework which provides a generalization of the de rham complex well designed for p form gauge fields we have studied the gauge structure and duality properties of theories for free gauge fields transforming in arbitrary irreducible representations of gl d we have proven a generalization of the poincare lemma which enables us to solve the above mentioned problems in a systematic and unified way", "title_raw": "Tensor Gauge Fields in Arbitrary Representations of GL(D, \u211d). Duality and Poincar\u00e9 Lemma", "abstract_raw": "Using a mathematical framework which provides a generalization of the de Rham complex (well-designed for p-form gauge fields), we have studied the gauge structure and duality properties of theories for free gauge fields transforming in arbitrary irreducible representations of GL(D, \u211d). We have proven a generalization of the Poincare lemma which enables us to solve the above-mentioned problems in a systematic and unified way." }, { "paper": "1988522532", "venue": "184147796", "year": "2004", "title": "on trigonal non gorenstein curves with zero maroni invariant", "label": [ "134306372", "49209780", "12843", "2777021972", "202444582" ], "author": [ "2478578283" ], "reference": [ "1517613393", "1574277245", "1943905822", "1983690248", "1994652749", "1997753235", "1998907066", "2020485388", "2048742070", "2061286140", "2071191752", "2083130687", "2086451287", "2095877551", "2333683126", "2550887481", "2573345575" ], "abstract": "abstract by means of canonical models we answer some questions on trigonal non gorenstein curves with zero maroni invariant the number of non gorenstein points the kind of such singularities possible canonical models uniqueness and number of base points of a g 1 3 on the curve", "title_raw": "On trigonal non-Gorenstein curves with zero Maroni invariant", "abstract_raw": "Abstract By means of canonical models we answer some questions on trigonal non-Gorenstein curves with zero Maroni invariant: the number of non-Gorenstein points, the kind of such singularities, possible canonical models, uniqueness and number of base points of a g 1 3 on the curve." }, { "paper": "2058019856", "venue": "985303", "year": "2004", "title": "an introduction to the theory of point processes vol i elementary theory and methods", "label": [ "2779851814", "202444582", "88871306", "33577790" ], "author": [ "2656939186" ], "reference": [], "abstract": "", "title_raw": "An Introduction to the Theory of Point Processes, Vol. I: Elementary Theory and Methods", "abstract_raw": "" }, { "paper": "2006885950", "venue": "151579836", "year": "2004", "title": "infra mackey spaces weak barrelledness and barrelledness", "label": [ "2780628348", "35413817", "58228006", "118615104", "118299288", "202444582", "17231256", "142805521", "151080709", "105313907" ], "author": [ "2620574370" ], "reference": [ "1487638357", "1491683357", "1533832582", "1594241869", "1594278185", "1599667012", "1609417332", "1722646382", "1965589957", "2020150158", "2035563675", "2081338028", "2082970649", "2141601188", "2160348947", "2165423528", "3141991840" ], "abstract": "abstract a weaker mackey topology infra mackey topology is introduced for an infra mackey space dual local quasi completeness c 0 quasi barrelledness ruess property quasi l and c quasi barrelledness are equivalent to each other inspired by the definition of mazur spaces locally convex spaces are classified according to various conditions ensuring linear functionals continuous in the classification every class of special locally convex spaces is characterized by some completeness of the duals from this some new characterizations of quasi barrelledness and barrelledness are given", "title_raw": "Infra-Mackey spaces, weak barrelledness and barrelledness", "abstract_raw": "Abstract A weaker Mackey topology, infra-Mackey topology, is introduced. For an infra-Mackey space, dual local quasi-completeness, c 0 -quasi-barrelledness, Ruess' property (quasi-L) and C -quasi-barrelledness are equivalent to each other. Inspired by the definition of Mazur spaces, locally convex spaces are classified according to various conditions ensuring linear functionals continuous. In the classification, every class of special locally convex spaces is characterized by some completeness of the duals. From this, some new characterizations of quasi-barrelledness and barrelledness are given." }, { "paper": "2120626801", "venue": "42080949", "year": "2004", "title": "fusing images with different focuses using support vector machines", "label": [ "124504099", "69744172" ], "author": [ "2126219569", "2111678102", "2066523793", "2992111034" ], "reference": [ "1554663460", "1558656720", "1601740268", "1985505225", "2006982940", "2027694926", "2028555274", "2047736581", "2048913467", "2055522016", "2098259665", "2100860054", "2103504761", "2103998130", "2108901096", "2114066324", "2115755118", "2124351082", "2132746638", "2143231439", "2143496191", "2143696753", "2145676339", "2147231004", "2148236753", "2148603752", "2157635806", "2168262846", "2168544812", "2171303135", "3119651796" ], "abstract": "many vision related processing tasks such as edge detection image segmentation and stereo matching can be performed more easily when all objects in the scene are in good focus however in practice this may not be always feasible as optical lenses especially those with long focal lengths only have a limited depth of field one common approach to recover an everywhere in focus image is to use wavelet based image fusion first several source images with different focuses of the same scene are taken and processed with the discrete wavelet transform dwt among these wavelet decompositions the wavelet coefficient with the largest magnitude is selected at each pixel location finally the fused image can be recovered by performing the inverse dwt in this paper we improve this fusion procedure by applying the discrete wavelet frame transform dwft and the support vector machines svm unlike dwt dwft yields a translation invariant signal representation using features extracted from the dwft coefficients a svm is trained to select the source image that has the best focus at each pixel location and the corresponding dwft coefficients are then incorporated into the composite wavelet representation experimental results show that the proposed method outperforms the traditional approach both visually and quantitatively", "title_raw": "Fusing images with different focuses using support vector machines", "abstract_raw": "Many vision-related processing tasks, such as edge detection, image segmentation and stereo matching, can be performed more easily when all objects in the scene are in good focus. However, in practice, this may not be always feasible as optical lenses, especially those with long focal lengths, only have a limited depth of field. One common approach to recover an everywhere-in-focus image is to use wavelet-based image fusion. First, several source images with different focuses of the same scene are taken and processed with the discrete wavelet transform (DWT). Among these wavelet decompositions, the wavelet coefficient with the largest magnitude is selected at each pixel location. Finally, the fused image can be recovered by performing the inverse DWT. In this paper, we improve this fusion procedure by applying the discrete wavelet frame transform (DWFT) and the support vector machines (SVM). Unlike DWT, DWFT yields a translation-invariant signal representation. Using features extracted from the DWFT coefficients, a SVM is trained to select the source image that has the best focus at each pixel location, and the corresponding DWFT coefficients are then incorporated into the composite wavelet representation. Experimental results show that the proposed method outperforms the traditional approach both visually and quantitatively." }, { "paper": "2052248433", "venue": "184147796", "year": "2004", "title": "discontinuous subgroups of pgl2 k", "label": [ "202444582" ], "author": [ "596935139", "1909071409" ], "reference": [ "100593011", "596635484", "1570769355", "1654941689", "1997212760", "2033985582", "2046948581" ], "abstract": "", "title_raw": "Discontinuous subgroups of PGL2(K)", "abstract_raw": "" }, { "paper": "2038008101", "venue": "165651092", "year": "2004", "title": "meshfree point collocation method for elasticity and crack problems", "label": [ "202615002", "186899397", "162835735", "134306372", "134466208", "108414556", "182310444", "114609681" ], "author": [ "2640653686", "2118619933" ], "reference": [], "abstract": "a generalized diffuse derivative approximation is combined with a point collocation scheme for solid mechanics problems the derivatives are obtained from a local approximation so their evaluation is computationally very efficient this meshfree point collocation method has other advantages it does not require special treatment for essential boundary condition nor the time consuming integration of a weak form neither the connectivity of the mesh nor differentiability of the weight function is necessary the accuracy of the solutions is exceptional and generally exceeds that of element free galerkin method with linear basis the performance and robustness are demonstrated by several numerical examples including crack problems copyright 2004 john wiley sons ltd", "title_raw": "Meshfree point collocation method for elasticity and crack problems", "abstract_raw": "A generalized diffuse derivative approximation is combined with a point collocation scheme for solid mechanics problems. The derivatives are obtained from a local approximation so their evaluation is computationally very efficient. This meshfree point collocation method has other advantages: it does not require special treatment for essential boundary condition nor the time-consuming integration of a weak form. Neither the connectivity of the mesh nor differentiability of the weight function is necessary. The accuracy of the solutions is exceptional and generally exceeds that of element-free Galerkin method with linear basis. The performance and robustness are demonstrated by several numerical examples, including crack problems. Copyright \u00a9 2004 John Wiley & Sons, Ltd." }, { "paper": "2037274336", "venue": "35412551", "year": "2004", "title": "saddle index properties singular topology and its relation to thermodynamic singularities for a \u03d5 4 mean field model", "label": [ "126794175", "196433757", "94020503", "186370098", "2777215656" ], "author": [ "1797037218", "2233999600", "1387271665" ], "reference": [ "21223778", "560871773", "1626565179", "2907743732" ], "abstract": "we investigate the potential energy surface of a ensuremath phi 4 model with infinite range interactions all stationary points can be uniquely characterized by three real numbers ensuremath alpha ensuremath alpha 0 ensuremath alpha ensuremath with ensuremath alpha ensuremath alpha 0 ensuremath alpha ensuremath 1 provided that the interaction strength ensuremath mu is smaller than a critical value the saddle index n s is equal to ensuremath alpha 0 and its distribution function has a maximum at n s mathrm max 1 3 the density p e of stationary points with energy per particle e as well as the euler characteristic ensuremath chi e are singular at a critical energy e c ensuremath mu if the external field h is zero however e c ensuremath mu ensuremath ne ensuremath upsilon c ensuremath mu where ensuremath upsilon c ensuremath mu is the mean potential energy per particle at the thermodynamic phase transition point t c this proves that previous claims that the topological and thermodynamic transition points coincide is not valid in general both types of singularities disappear for h ensuremath ne 0 the average saddle index overline n s as function of e decreases monotonically with e and vanishes at the ground state energy only in contrast the saddle index n s as function of the average energy overline e n s is given by n s overline e 1 4 overline e for h 0 that vanishes at overline e ensuremath 1 4g ensuremath upsilon 0 the ground state energy", "title_raw": "Saddle index properties, singular topology, and its relation to thermodynamic singularities for a \u03d5 4 mean-field model", "abstract_raw": "We investigate the potential energy surface of a ${\\ensuremath{\\phi}}^{4}$ model with infinite range interactions. All stationary points can be uniquely characterized by three real numbers ${\\ensuremath{\\alpha}}_{+},{\\ensuremath{\\alpha}}_{0},{\\ensuremath{\\alpha}}_{\\ensuremath{-}}$ with ${\\ensuremath{\\alpha}}_{+}+{\\ensuremath{\\alpha}}_{0}+{\\ensuremath{\\alpha}}_{\\ensuremath{-}}=1$, provided that the interaction strength $\\ensuremath{\\mu}$ is smaller than a critical value. The saddle index ${n}_{s}$ is equal to ${\\ensuremath{\\alpha}}_{0}$ and its distribution function has a maximum at ${n}_{s}^{\\mathrm{max}}=1\u22153$. The density $p(e)$ of stationary points with energy per particle $e$, as well as the Euler characteristic $\\ensuremath{\\chi}(e)$, are singular at a critical energy ${e}_{c}(\\ensuremath{\\mu})$, if the external field $H$ is zero. However, ${e}_{c}(\\ensuremath{\\mu})\\ensuremath{\\ne}{\\ensuremath{\\upsilon}}_{c}(\\ensuremath{\\mu})$, where ${\\ensuremath{\\upsilon}}_{c}(\\ensuremath{\\mu})$ is the mean potential energy per particle at the thermodynamic phase transition point ${T}_{c}$. This proves that previous claims that the topological and thermodynamic transition points coincide is not valid, in general. Both types of singularities disappear for $H\\ensuremath{\\ne}0$. The average saddle index ${\\overline{n}}_{s}$ as function of $e$ decreases monotonically with $e$ and vanishes at the ground state energy, only. In contrast, the saddle index ${n}_{s}$ as function of the average energy $\\overline{e}({n}_{s})$ is given by ${n}_{s}(\\overline{e})=1+4\\overline{e}$ (for $H=0$) that vanishes at $\\overline{e}=\\ensuremath{-}1\u22154g{\\ensuremath{\\upsilon}}_{0}$, the ground state energy." }, { "paper": "2158120001", "venue": "4502562", "year": "2004", "title": "index assignment for two channel quantization", "label": [ "2778095710", "118615104", "17825722", "114614502", "178650486" ], "author": [ "2032946434", "9833277" ], "reference": [ "580369836", "2096102601", "2105904214", "2123095296", "2319893347", "2798333393" ], "abstract": "this paper concerns the design of a multiple description scalar quantization mdsq system for two identical channels for an unbounded discrete information source this translates to the combinatorial problem of finding an arrangement of the integers into the infinite plane square grid so that each row and each column contains exactly n numbers such that the difference between any two numbers in the same row or column is at most d with d to be minimized for a given n the best previous lower and upper bounds on the lowest d were n sup 2 3 o n and n sup 2 2 o n we give new lower and upper bounds both of the form 3n sup 2 8 o n we also consider minimizing the maximal variance in any row or column and show that it must be at least n sup 4 60 o n sup 3 and that it does not have to be more than 3n sup 4 160 o n sup 3", "title_raw": "Index assignment for two-channel quantization", "abstract_raw": "This paper concerns the design of a multiple description scalar quantization (MDSQ) system for two identical channels for an unbounded discrete information source. This translates to the combinatorial problem of finding an arrangement of the integers into the infinite plane square grid so that each row and each column contains exactly N numbers, such that the difference between any two numbers in the same row (or column) is at most d, with d to be minimized for a given N. The best previous lower and upper bounds on the lowest d were N/sup 2//3+O(N) and N/sup 2//2+O(N). We give new lower and upper bounds, both of the form 3N/sup 2//8+O(N). We also consider minimizing the maximal variance in any row or column and show that it must be at least N/sup 4//60+O(N/sup 3/), and that it does not have to be more than 3N/sup 4//160+O(N/sup 3/)." }, { "paper": "2037846433", "venue": "40212770", "year": "2004", "title": "characterization of the cubic exponential families by orthogonality of polynomials", "label": [ "21736991", "86607863", "118797610", "43176163", "78540521", "52537462", "202444582", "10628310", "114614502", "61349858" ], "author": [ "2507023281", "2709709427" ], "reference": [ "1982576917", "1983495924", "2039580904", "2046338987", "2069037953" ], "abstract": "this paper introduces a notion of 2 orthogonality for a sequence of polynomials to give extended versions of the meixner and feinsilver characterization results based on orthogonal polynomials these new versions subsume the letac mora characterization of the real natural exponential families having cubic variance function", "title_raw": "Characterization of the cubic exponential families by orthogonality of polynomials", "abstract_raw": "This paper introduces a notion of 2-orthogonality for a sequence of polynomials to give extended versions of the Meixner and Feinsilver characterization results based on orthogonal polynomials. These new versions subsume the Letac\u2013Mora characterization of the real natural exponential families having cubic variance function." }, { "paper": "2071447530", "venue": "25538012", "year": "2004", "title": "the relevance of non generic events in scale space models", "label": [ "99102927", "33474566", "196298200", "2524010" ], "author": [ "1965032571", "2078613601" ], "reference": [ "56228790", "70600803", "83339631", "135479180", "1494637899", "1508335110", "1509992751", "1512500543", "1545687568", "1562544204", "1564135739", "1579100683", "1592537607", "1596149888", "1599665247", "1602929451", "1887003147", "1964806616", "1970001412", "1971348167", "1983558856", "1983879118", "1987555815", "1997777356", "2008467996", "2014217370", "2020845919", "2021826766", "2022735534", "2029881338", "2034501924", "2074870183", "2078377537", "2083673120", "2087309680", "2087318579", "2090359786", "2091715895", "2098979973", "2104427878", "2104537759", "2106624082", "2109863423", "2112328181", "2123340620", "2128738317", "2128949314", "2129840722", "2131336424", "2140810764", "2146860433", "2150711148", "2153645845", "2161004254", "2201834106", "2253937551", "2482959850", "2489784754", "2496985465", "2503118008", "2528190804", "2798663136", "2799207262", "2807865027", "2950229861", "3141151088", "3174974282" ], "abstract": "in order to investigate the deep structure of gaussian scale space images one needs to understand the behaviour of spatial critical points under the influence of blurring we show how the mathematical framework of catastrophe theory can be used to describe and model the behaviour of critical point trajectories when various different types of generic events viz annihilations and creations of pairs of spatial critical points almost coincide although such events are non generic in mathematical sense they are not unlikely to be encountered in practice due to numerical limitations furthermore the behaviour of these trajectories leads to the observation that fine to coarse tracking of critical points doesn t suffice since they can form closed loops in scale space the modelling of the trajectories include these loops we apply the theory to an artificial image and a simulated mr image and show the occurrence of the described behaviour", "title_raw": "The Relevance of Non-Generic Events in Scale Space Models", "abstract_raw": "In order to investigate the deep structure of Gaussian scale space images, one needs to understand the behaviour of spatial critical points under the influence of blurring. We show how the mathematical framework of catastrophe theory can be used to describe and model the behaviour of critical point trajectories when various different types of generic events, viz. annihilations and creations of pairs of spatial critical points, (almost) coincide. Although such events are non-generic in mathematical sense, they are not unlikely to be encountered in practice due to numerical limitations. Furthermore, the behaviour of these trajectories leads to the observation that fine-to-coarse tracking of critical points doesn't suffice, since they can form closed loops in scale space. The modelling of the trajectories include these loops. We apply the theory to an artificial image and a simulated MR image and show the occurrence of the described behaviour." }, { "paper": "1977832450", "venue": "50372074", "year": "2004", "title": "new exact solutions for some nonlinear differential equations using symbolic computation", "label": [ "87651913", "48753275", "110812573", "28826006", "9376300", "59696629", "78045399", "520416788", "134306372", "45473103" ], "author": [ "2233634092", "2671154357", "2153458034", "2171489089" ], "reference": [ "85899991", "183839448", "1968142352", "1972259804", "1983143667", "1983476600", "1997878278", "2006479457", "2028631394", "2047569789", "2058152310", "2058430527", "2061496940", "2069763315", "2072009618", "2073817609", "2083960709", "2093444109", "2094402315", "2110627003", "2141172861", "2159514670", "2259588253", "3150407259" ], "abstract": "based on computerized symbolic computation and a new general ansatze a generalized tanh function method for constructing multiple travelling wave solutions of nonlinear evolution equations nees is presented and implemented in a computer algebraic system applying the generalized method with the aid of maple we consider some nees with physics interests as a result we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh function method and other more sophisticated methods more importantly for some equations we also obtain other new and more general solutions at same time the results include kink profile solitary wave solutions bell profile solitary wave solutions periodic wave solutions rational solutions singular solutions and new formal solutions the properties of the new soliton solutions for wbk equations are shown by some figures", "title_raw": "New exact solutions for some nonlinear differential equations using symbolic computation", "abstract_raw": "Based on computerized symbolic computation and a new general ansatze, a generalized tanh-function method for constructing multiple travelling wave solutions of nonlinear evolution equations (NEEs) is presented and implemented in a computer algebraic system. Applying the generalized method, with the aid of Maple, we consider some NEEs with physics interests. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods. More importantly, for some equations, we also obtain other new and more general solutions at same time. The results include kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions, rational solutions, singular solutions and new formal solutions. The properties of the new soliton solutions for WBK equations are shown by some figures." }, { "paper": "2059480343", "venue": "35412551", "year": "2004", "title": "numerical evidence for stretched exponential relaxations in the kardar parisi zhang equation", "label": [ "127349201", "134306372", "151376022", "99844830", "75235859", "2779534811" ], "author": [ "2267144034", "2161498152" ], "reference": [], "abstract": "we present results from extensive numerical integration of the kardar parisi zhang kpz equation in 1 1 dimensions aimed to check the long time behavior of the dynamical structure factor of that system over a number of decades in the size of the structure factor we confirm scaling and stretched exponential decay we also give an analytic expression that yields a very good approximation to the numerical data our result clearly favors stretched exponential decay over recent results claiming to yield the exact time dependent structure factor of the 1 1 dimensional kpz system we suggest a possible solution to that contradiction", "title_raw": "Numerical evidence for stretched exponential relaxations in the Kardar-Parisi-Zhang equation", "abstract_raw": "We present results from extensive numerical integration of the Kardar-Parisi-Zhang (KPZ) equation in 1+1 dimensions aimed to check the long-time behavior of the dynamical structure factor of that system. Over a number of decades in the size of the structure factor we confirm scaling and stretched exponential decay. We also give an analytic expression that yields a very good approximation to the numerical data. Our result clearly favors stretched exponential decay over recent results claiming to yield the exact time dependent structure factor of the 1+1 -dimensional KPZ system. We suggest a possible solution to that contradiction." }, { "paper": "1974123852", "venue": "85738991", "year": "2004", "title": "a low dispersion 3 d second order in time fourth order in space fdtd scheme m3d sub 24", "label": [ "118299288", "114460028", "187691185", "134306372" ], "author": [ "2635510007", "2229802513", "2022798708", "2638225868" ], "reference": [ "1570895503", "1592982725", "1974945194", "1990694839", "2021121593", "2025008820", "2029096514", "2073112713", "2086862654", "2131832165", "2136745999", "2142063750", "2155869709", "2160922199", "2480856363", "2981264952", "3097169496" ], "abstract": "a second order in time fourth order in space modified finite difference time domain fdtd scheme for three dimensional electromagnetic problems m3d sub 24 is presented the algorithm enables the numerical phase error to be minimized so that it leads to high accuracy with low resolution grids the advantage of this method is demonstrated by considering the long distance propagation of the wave radiated from a time harmonic elementary dipole using a low resolution grid and comparing the results with other fdtd schemes", "title_raw": "A low-dispersion 3-D second-order in time fourth-order in space FDTD scheme (M3d/sub 24/)", "abstract_raw": "A second-order in time fourth-order in space modified finite-difference time-domain (FDTD) scheme for three dimensional electromagnetic problems \"M3d/sub 24/\" is presented. The algorithm enables the numerical phase error to be minimized, so that it leads to high accuracy with low resolution grids. The advantage of this method is demonstrated by considering the long distance propagation of the wave radiated from a time harmonic elementary dipole using a low resolution grid, and comparing the results with other FDTD schemes." }, { "paper": "2100644846", "venue": "168680287", "year": "2004", "title": "leaky delayed lms algorithm stochastic analysis for gaussian data and delay modeling error", "label": [ "11413529", "19499675", "500300565", "102248274", "32617633", "106516650", "126255220", "2776003309", "8272713" ], "author": [ "1995027842", "2472030702" ], "reference": [ "1492221128", "1510808217", "1515494648", "1538882755", "1544540987", "1550574544", "1924185087", "1998213224", "2011000611", "2011491310", "2020271297", "2025605778", "2078619174", "2108763324", "2109626466", "2112276742", "2112498586", "2114531623", "2124181067", "2133635346", "2149653250" ], "abstract": "this paper presents a stochastic analysis of the delayed least mean square dlms adaptive algorithm with leakage this analysis is obtained taking into account that mismatches between the system delay and its estimate may occur such an approach is not considered in previous models in addition it is shown that the introduction of a leakage factor into the adaptive algorithm keeps the adaptive algorithm stable under an imperfect delay estimate condition recursive difference equations for the first and second moments of the adaptive filter weights are derived an expression for the critical value of the step size is also determined results of monte carlo simulations present excellent agreement with the proposed model for both white and colored gaussian inputs", "title_raw": "Leaky delayed LMS algorithm: stochastic analysis for Gaussian data and delay modeling error", "abstract_raw": "This paper presents a stochastic analysis of the delayed least-mean-square (DLMS) adaptive algorithm with leakage. This analysis is obtained taking into account that mismatches between the system delay and its estimate may occur. Such an approach is not considered in previous models. In addition, it is shown that the introduction of a leakage factor into the adaptive algorithm keeps the adaptive algorithm stable under an imperfect delay estimate condition. Recursive difference equations for the first and second moments of the adaptive filter weights are derived. An expression for the critical value of the step size is also determined. Results of Monte Carlo simulations present excellent agreement with the proposed model for both white and colored Gaussian inputs." }, { "paper": "2037206131", "venue": "53336109", "year": "2004", "title": "large eddy simulation inflow conditions for coupling with reynolds averaged flow solvers", "label": [ "28826006", "38349280" ], "author": [ "2250955399", "2179999152", "1138806045" ], "reference": [ "1647640579", "1966107299", "1971111002", "1974026857", "1977581961", "1978199903", "1993200455", "1995205758", "2002124437", "2013656460", "2032189435", "2050267587", "2063476100", "2074447412", "2075761452", "2083904988", "2086209713", "2122788177", "2135402313", "2138206142", "2145537894", "2153017299", "2179447464", "2312604095", "2314343591", "2322267167", "2323040291", "2326206775", "2326973896", "2328765787" ], "abstract": "hybrid approaches using a combination of reynolds averaged navier stokes rans approaches and large eddy simulations les have become increasingly popular one way to construct a hybrid approach is to apply separate flow solvers to components of a complex system and to exchange information at the interfaces of the domains for the les flow solver boundary conditions then have to be defined on the basis of the reynolds averaged flow statistics delivered by a rans flow solver this is a challenge which also arises for instance when defining les inflow conditions from experimental data the problem for the coupled rans les computations is further complicated by the fact that the mean flow statistics at the interface may vary in time and are not known a priori but only from the rans solution the present study defines a method to provide les inflow conditions through auxiliary a priori les computations where an les inflow database is generated the database is modified to account for the unsteadiness of the interface flow statistics", "title_raw": "Large-Eddy Simulation Inflow Conditions for Coupling with Reynolds-Averaged Flow Solvers", "abstract_raw": "Hybrid approaches using a combination of Reynolds-averaged Navier-Stokes (RANS) approaches and large eddy simulations (LES) have become increasingly popular. One way to construct a hybrid approach is to apply separate flow solvers to components of a complex system and to exchange information at the interfaces of the domains. For the LES flow solver, boundary conditions then have to be defined on the basis of the Reynolds-averaged flow statistics delivered by a RANS flow solver. This is a challenge, which also arises, for instance, when defining LES inflow conditions from experimental data. The problem for the coupled RANS-LES computations is further complicated by the fact that the mean flow statistics at the interface may vary in time and are not known a priori but only from the RANS solution. The present study defines a method to provide LES inflow conditions through auxiliary, a priori LES computations, where an LES inflow database is generated. The database is modified to account for the unsteadiness of the interface flow statistics" }, { "paper": "2089682264", "venue": "50372074", "year": "2004", "title": "extended hypergeometric and confluent hypergeometric functions", "label": [ "60400383", "182078607", "148160416", "158241908", "92941272", "122343491", "202444582", "165175332", "125565743", "148421525" ], "author": [ "2137033540", "2159910132", "1941648048", "2106393187" ], "reference": [ "85174465", "1485979810", "1489991626", "1533556785", "1842498742", "2009640650", "2042612461", "2060021847", "2081633643", "2086736427", "2098609738", "2182922096", "2327931929" ], "abstract": "an extension of the beta function by introducing an extra parameter which proved to be useful earlier is applied here to extend the hypergeometric and confluent hypergeometric functions since the latter functions contain many of the familiar special functions as sub cases this extension is expected to prove to be useful the object of the present paper is to study this extension and its relationship with the hypergeometric and confluent hypergeometric functions", "title_raw": "Extended hypergeometric and confluent hypergeometric functions", "abstract_raw": "An extension of the beta function by introducing an extra parameter, which proved to be useful earlier, is applied here to extend the hypergeometric and confluent hypergeometric functions. Since the latter functions contain many of the familiar special functions as sub-cases, this extension is expected to prove to be useful. The object of the present paper is to study this extension and its relationship with the hypergeometric and confluent hypergeometric functions." }, { "paper": "2096210413", "venue": "104894821", "year": "2004", "title": "regular type of real hyper surfaces in almost complex manifolds", "label": [ "202444582", "14344131", "204575570", "47890412", "77456567", "134306372", "120955133", "69217238", "1432948", "27602778" ], "author": [ "2044794035", "2047352553" ], "reference": [ "80089896", "647336833", "1513642862", "1516480312", "1981714959", "2003992805", "2051332195", "2062597481", "2206484008", "2322869760", "2330408022" ], "abstract": "the regular type of a real hyper surface m in an almost complex manifold at some point p is the maximal contact order at p of m with germs of non singular pseudo holomorphic disks the main purpose of this paper is to give two intrinsic characterizations the type one in terms of lie brackets of a complex tangent vector field on m the other in terms of some kind of derivatives of the levi form", "title_raw": "Regular type of real hyper-surfaces in (almost) complex manifolds", "abstract_raw": "The regular type of a real hyper-surface M in an (almost) complex manifold at some point p is the maximal contact order at p of M with germs of non singular (pseudo) holomorphic disks. The main purpose of this paper is to give two intrinsic characterizations the type : one in terms of Lie brackets of a complex tangent vector field on M, the other in terms of some kind of derivatives of the Levi form." }, { "paper": "2048387586", "venue": "79244937", "year": "2004", "title": "critical conditions for a stable molecular structure", "label": [ "63036615" ], "author": [ "1874338917", "2161312782" ], "reference": [ "1483893079", "1968100819", "1987059638", "1992089211", "1997596885", "2002094651", "2012247136", "2017797835", "2024527105", "2044078089", "2044194638", "2047356820", "2050905333", "2053551627", "2054994810", "2062393842", "2063346428", "2121975124", "2321455730" ], "abstract": "here we show how the molecular structure appears and becomes stable for supercritical physical conditions in particular we consider for ammonia type molecules a simplified model based on a standard non linear double well schrodinger equation with a dissipative term and a perturbative term representing weak collisions", "title_raw": "Critical conditions for a stable molecular structure", "abstract_raw": "Here, we show how the molecular structure appears and becomes stable for supercritical physical conditions. In particular we consider, for ammonia-type molecules, a simplified model based on a standard non-linear double-well Schrodinger equation with a dissipative term and a perturbative term representing weak collisions." }, { "paper": "1990620723", "venue": "35412551", "year": "2004", "title": "pseudoknots in a homopolymer", "label": [ "50990784", "176423456", "2777423538", "99844830" ], "author": [ "2261673081", "2170235351" ], "reference": [ "1577336286", "1587654268", "1638872479", "2011039300" ], "abstract": "after a discussion of the definition and number of pseudoknots we reconsider the self attracting homopolymer paying particular attention to the scaling of the pseudoknot number npk at different temperature regimes in two and three dimensions we find that although the total number of pseudoknots is extensive at all temperatures the number of those forming between the two halves of the chain diverges logarithmically at both dimensions and below two dimensions only the theta temperature we later introduce a simple model that emphasizes the role of pseudoknot formation during collapse the resulting phase diagram involves swollen branched and collapsed homopolymer phases with transitions between each pair", "title_raw": "Pseudoknots in a homopolymer.", "abstract_raw": "After a discussion of the definition and number of pseudoknots, we reconsider the self-attracting homopolymer paying particular attention to the scaling of the pseudoknot number (Npk) at different temperature regimes in two and three dimensions. We find that, although the total number of pseudoknots is extensive at all temperatures, the number of those forming between the two halves of the chain diverges logarithmically at (both dimensions) and below (two dimensions only) the theta temperature. We later introduce a simple model that emphasizes the role of pseudoknot formation during collapse. The resulting phase diagram involves swollen, branched, and collapsed homopolymer phases with transitions between each pair." }, { "paper": "2082784282", "venue": "102439543", "year": "2005", "title": "computation of differential operators in wavelet coordinates", "label": [ "12426560", "62799726", "134306372", "159694833", "2776003309", "70915906" ], "author": [ "2959205898", "2145632327" ], "reference": [ "195078069", "1483446983", "1539855477", "1988406495", "1992513401", "2004261587", "2015219711", "2045050233", "2048268779", "2048834141", "2058288586", "2062728462", "2099475094", "2108933660" ], "abstract": "in found comput math 2 2002 pp 203 245 cohen dahmen and devore proposed an adaptive wavelet algorithm for solving general operator equations assuming that the operator defines a boundedly invertible mapping between a hilbert space and its dual and that a riesz basis of wavelet type for this hilbert space is available the operator equation is transformed into an equivalent well posed infinite matrix vector system this system is solved by an iterative method where each application of the infinite stiffness matrix is replaced by an adaptive approximation it was shown that if the errors of the best linear combinations from the wavelet basis with n terms are o n s for some s 0 which is determined by the besov regularity of the solution and the order of the wavelet basis then approximations yielded by the adaptive method with n terms also have errors of o n s moreover their computation takes only 0 n operations provided s s assuming that each entry of the stiffness matrix is exactly available at unit cost generally these entries have to be approximated using numerical quadrature in this paper restricting ourselves to differential operators we develop a numerical integration scheme that computes these entries giving an additional error that is consistent with the approximation error whereas in each column the average computational cost per entry is 0 1 as a consequence we can conclude that the adaptive wavelet algorithm has optimal computational complexity", "title_raw": "Computation of differential operators in wavelet coordinates", "abstract_raw": "In [Found. Comput. Math., 2 (2002), pp. 203-245], Cohen, Dahmen, and DeVore proposed an adaptive wavelet algorithm for solving general operator equations. Assuming that the operator defines a boundedly invertible mapping between a Hilbert space and its dual, and that a Riesz basis of wavelet type for this Hilbert space is available, the operator equation is transformed into an equivalent well-posed infinite matrix-vector system. This system is solved by an iterative method, where each application of the infinite stiffness matrix is replaced by an adaptive approximation. It was shown that if the errors of the best linear combinations from the wavelet basis with N terms are O(N -s ) for some s > 0, which is determined by the Besov regularity of the solution and the order of the wavelet basis, then approximations yielded by the adaptive method with N terms also have errors of O(N -s ). Moreover, their computation takes only 0(N) operations, provided s s, assuming that each entry of the stiffness matrix is exactly available at unit cost. Generally these entries have to be approximated using numerical quadrature. In this paper, restricting ourselves to differential operators, we develop a numerical integration scheme that computes these entries giving an additional error that is consistent with the approximation error, whereas in each column the average computational cost per entry is 0(1). As a consequence, we can conclude that the adaptive wavelet algorithm has optimal computational complexity." }, { "paper": "2031889984", "venue": "148709879", "year": "2005", "title": "short note artificial boundary conditions for axisymmetric slow viscous flow", "label": [ "35377427", "45178976", "182310444", "16304620", "19191322", "45502583", "142479292" ], "author": [ "2103232086" ], "reference": [ "1485393633", "1583796029", "1973808722", "1986293636", "2001819970", "2075241282" ], "abstract": "exact and approximate artificial boundary conditions are derived for computing axially symmetric stokes flow around an axisymmetric body", "title_raw": "Short Note: Artificial boundary conditions for axisymmetric slow viscous flow", "abstract_raw": "Exact and approximate artificial boundary conditions are derived for computing axially symmetric Stokes flow around an axisymmetric body." }, { "paper": "2032112832", "venue": "193920097", "year": "2005", "title": "distance to ill posedness and the consistency value of linear semi infinite inequality systems", "label": [ "178042281", "158457486", "6802819", "28826006", "126255220", "84135550", "177067428", "34388435", "62354387" ], "author": [ "2069553246", "2150324234", "2143169134", "2150188760" ], "reference": [ "62594946", "75278000", "83112366", "173225913", "564963347", "1525781748", "1534416612", "1553702074", "1632219083", "1780964138", "1965700306", "1966621956", "1987898022", "1988971579", "1993223591", "1994883751", "2011451855", "2030322501", "2035284071", "2039150177", "2045419427", "2065114871", "2077136942", "2078714267", "2089903545", "2094683072", "2334285086", "2787523326" ], "abstract": "in this paper we consider the parameter space of all the linear inequality systems in the n dimensional euclidean space with a fixed and arbitrary possibly infinite index set this parameter space is endowed with the topology of the uniform convergence of the coefficient vectors by means of an extended distance some authors in a different context in which the index set is finite and accordingly the coefficients are bounded consider the boundary of the set of consistent systems as the set of ill posed systems the distance from the nominal system to this boundary distance to ill posedness which constitutes itself a measure of the stability of the system plays a decisive role in the complexity analysis of certain algorithms for finding a solution of the system in our context the presence of infinitely many constraints would lead us to consider separately two subsets of inconsistent systems the so called strongly inconsistent systems and the weakly inconsistent systems moreover the possible unboundedness of the coefficient vectors of a system gives rise to a special subset formed by those systems whose distance to ill posedness is infinite attending to these two facts and according to the idea that a system is ill posed when small changes in the system s data yield different types of systems now the boundary of the set of strongly inconsistent systems arises as the generalized ill posedness set the paper characterizes this generalized ill posedness of a system in terms of the so called associated hypographical set leading to an explicit formula for the distance to generalized ill posedness on the other hand the consistency value of a system also introduced in the paper provides an alternative way to determine its distance to ill posedness in the original sense and additionally allows us to distinguish the consistent well posed systems from the inconsistent well posed ones the finite case is shown to be a meeting point of our linear semi infinite approach to the distance to ill posedness with certain results derived for conic linear systems applications to the analysis of the lipschitz properties of the feasible set mapping as well as to the complexity analysis of the ellipsoid algorithm are also provided", "title_raw": "Distance to ill-posedness and the consistency value of linear semi-infinite inequality systems", "abstract_raw": "In this paper we consider the parameter space of all the linear inequality systems, in the n-dimensional Euclidean space, with a fixed and arbitrary (possibly infinite) index set. This parameter space is endowed with the topology of the uniform convergence of the coefficient vectors by means of an extended distance. Some authors, in a different context in which the index set is finite and, accordingly, the coefficients are bounded, consider the boundary of the set of consistent systems as the set of ill-posed systems. The distance from the nominal system to this boundary (\u2018distance to ill-posedness\u2019), which constitutes itself a measure of the stability of the system, plays a decisive role in the complexity analysis of certain algorithms for finding a solution of the system. In our context, the presence of infinitely many constraints would lead us to consider separately two subsets of inconsistent systems, the so-called strongly inconsistent systems and the weakly inconsistent systems. Moreover, the possible unboundedness of the coefficient vectors of a system gives rise to a special subset formed by those systems whose distance to ill-posedness is infinite. Attending to these two facts, and according to the idea that a system is ill-posed when small changes in the system\u2019s data yield different types of systems, now the boundary of the set of strongly inconsistent systems arises as the \u2018generalized ill-posedness\u2019 set. The paper characterizes this generalized ill-posedness of a system in terms of the so-called associated hypographical set, leading to an explicit formula for the \u2018distance to generalized ill-posedness\u2019. On the other hand, the consistency value of a system, also introduced in the paper, provides an alternative way to determine its distance to ill-posedness (in the original sense), and additionally allows us to distinguish the consistent well-posed systems from the inconsistent well-posed ones. The finite case is shown to be a meeting point of our linear semi-infinite approach to the distance to ill-posedness with certain results derived for conic linear systems. Applications to the analysis of the Lipschitz properties of the feasible set mapping, as well as to the complexity analysis of the ellipsoid algorithm, are also provided." }, { "paper": "2070059359", "venue": "165651092", "year": "2005", "title": "analysis of three dimensional crack initiation and propagation using the extended finite element method", "label": [ "2777042112", "202973686", "135628077", "73000952", "24810621", "48753275", "134306372", "105239961" ], "author": [ "2310823258", "2174070772" ], "reference": [ "50775727", "68062201", "1569339351", "1574084877", "1590525808", "1963482875", "1971090570", "1972481426", "1973067660", "1974288061", "1980099947", "1986162310", "1986571898", "1995980053", "2000927483", "2005781236", "2009444242", "2017580691", "2034771336", "2039198037", "2044478535", "2044892973", "2046312530", "2047048398", "2059913147", "2061418380", "2065860105", "2069146224", "2071723212", "2077815634", "2086832714", "2108991092", "2120836084", "2121542165", "2121999780", "2142596047", "2147335796", "2156452613", "2613400955" ], "abstract": "an erratum has been published for this article in international journal for numerical methods in engineering 2005 63 8 1228 we present a new formulation and a numerical procedure for the quasi static analysis of three dimensional crack propagation in brittle and quasi brittle solids the extended finite element method xfem is combined with linear tetrahedral elements a viscosity regularized continuum damage constitutive model is used and coupled with the xfem formulation resulting in a regularized crack band version of xfem the evolving discontinuity surface is discretized through a c0 surface formed by the union of the triangles and quadrilaterals that separate each cracked element in two the element s properties allow a closed form integration and a particularly efficient implementation allowing large scale 3d problems to be studied several examples of crack propagation are shown illustrating the good results that can be achieved copyright 2005 john wiley sons ltd", "title_raw": "Analysis of three\u2010dimensional crack initiation and propagation using the extended finite element method", "abstract_raw": "An Erratum has been published for this article in International Journal for Numerical Methods in Engineering 2005, 63(8): 1228.\r\n\r\nWe present a new formulation and a numerical procedure for the quasi-static analysis of three-dimensional crack propagation in brittle and quasi-brittle solids. The extended finite element method (XFEM) is combined with linear tetrahedral elements. A viscosity-regularized continuum damage constitutive model is used and coupled with the XFEM formulation resulting in a regularized \u2018crack-band\u2019 version of XFEM. The evolving discontinuity surface is discretized through a C0 surface formed by the union of the triangles and quadrilaterals that separate each cracked element in two. The element's properties allow a closed form integration and a particularly efficient implementation allowing large-scale 3D problems to be studied. Several examples of crack propagation are shown, illustrating the good results that can be achieved. Copyright \u00a9 2005 John Wiley & Sons, Ltd." }, { "paper": "2049974290", "venue": "165512578", "year": "2005", "title": "model problems for the multigrid optimization of systems governed by differential equations", "label": [ "94523830", "48753275", "126255220", "78045399", "115527620", "93779851", "137119250", "137836250", "198880260" ], "author": [ "2123226421", "2123137370" ], "reference": [ "246222184", "616055266", "1554282953", "1601541039", "1607180639", "1677824830", "1968642437", "1976792725", "1997057951", "2001863123", "2002352627", "2012492661", "2038790546", "2048762425", "2049176462", "2084282748", "2112985838", "2124012450", "2124812425", "2139076800", "2142738245", "2151317657", "2338765079" ], "abstract": "we discuss a multigrid approach to the optimization of systems governed by differential equations such optimization problems appear in many applications and are of a different nature than systems of equations our approach uses an optimization based multigrid algorithm in which the multigrid algorithm relies explicitly on nonlinear optimization models as subproblems on coarser grids our goal is not to argue for a particular optimization based multigrid algorithm but instead to demonstrate how multigrid can be used to accelerate nonlinear programming algorithms furthermore using several model problems we give evidence both theoretical and numerical that the optimization setting is well suited to multigrid algorithms some of the model problems show that the optimization problem may be more amenable to multigrid than the governing differential equation in addition we relate the multigrid approach to more traditional optimization methods as further justification for the use of an optimization based multigrid algorithm", "title_raw": "Model Problems for the Multigrid Optimization of Systems Governed by Differential Equations", "abstract_raw": "We discuss a multigrid approach to the optimization of systems governed by differential equations. Such optimization problems appear in many applications and are of a different nature than systems of equations. Our approach uses an optimization-based multigrid algorithm in which the multigrid algorithm relies explicitly on nonlinear optimization models as subproblems on coarser grids. Our goal is not to argue for a particular optimization-based multigrid algorithm, but instead to demonstrate how multigrid can be used to accelerate nonlinear programming algorithms. Furthermore, using several model problems we give evidence (both theoretical and numerical) that the optimization setting is well suited to multigrid algorithms. Some of the model problems show that the optimization problem may be more amenable to multigrid than the governing differential equation. In addition, we relate the multigrid approach to more traditional optimization methods as further justification for the use of an optimization-based multigrid algorithm." }, { "paper": "2045446569", "venue": "118992489", "year": "2005", "title": "approximate distance oracles", "label": [ "4071166", "2777434295", "2777423538", "118615104", "114614502", "199422724", "22590252", "13251829", "89865432" ], "author": [ "1857373744", "78491637" ], "reference": [ "73629738", "111038805", "181128013", "301824129", "1489554686", "1510730180", "1568961751", "1574233320", "1582742149", "1768571955", "1823654214", "1964948588", "1965680834", "1987996179", "1988067232", "1989682699", "1991809067", "1999534475", "1999545213", "2001609476", "2001907516", "2002041206", "2002296715", "2003457914", "2005580106", "2009852526", "2021022635", "2027697499", "2035494495", "2039852170", "2041571997", "2042333226", "2046441184", "2049500052", "2052207834", "2057994027", "2058374373", "2061342454", "2063491776", "2068871408", "2071362870", "2075459377", "2082353536", "2082538734", "2083534148", "2084224084", "2087806988", "2093899598", "2097747425", "2133768189", "2139539283", "2144399314", "2156047991", "2165621523", "2167816765", "2169528473", "2176446742", "2295428206", "3198470706" ], "abstract": "let g v e be an undirected weighted graph with vvv n and vev m let k 1 be an integer we show that g v e can be preprocessed in o kmn1 k expected time constructing a data structure of size o kn1p1 k such that any subsequent distance query can be answered approximately in o k time the approximate distance returned is of stretch at most 2k 1 that is the quotient obtained by dividing the estimated distance by the actual distance lies between 1 and 2k 1 a 1963 girth conjecture of erdos implies that n1p1 k space is needed in the worst case for any real stretch strictly smaller than 2kp1 the space requirement of our algorithm is therefore essentially optimal the most impressive feature of our data structure is its constant query time hence the name oracle previously data structures that used only o n1p1 k space had a query time of n1 k our algorithms are extremely simple and easy to implement efficiently they also provide faster constructions of sparse spanners of weighted graphs and improved tree covers and distance labelings of weighted or unweighted graphs", "title_raw": "Approximate distance oracles", "abstract_raw": "Let G = (V,E) be an undirected weighted graph with vVv = n and vEv = m. Let k \u2265 1 be an integer. We show that G = (V,E) can be preprocessed in O(kmn1/k) expected time, constructing a data structure of size O(kn1p1/k), such that any subsequent distance query can be answered, approximately, in O(k) time. The approximate distance returned is of stretch at most 2k\u22121, that is, the quotient obtained by dividing the estimated distance by the actual distance lies between 1 and 2k\u22121. A 1963 girth conjecture of Erdos, implies that \u03a9(n1p1/k) space is needed in the worst case for any real stretch strictly smaller than 2kp1. The space requirement of our algorithm is, therefore, essentially optimal. The most impressive feature of our data structure is its constant query time, hence the name \"oracle\". Previously, data structures that used only O(n1p1/k) space had a query time of \u03a9(n1/k).Our algorithms are extremely simple and easy to implement efficiently. They also provide faster constructions of sparse spanners of weighted graphs, and improved tree covers and distance labelings of weighted or unweighted graphs." }, { "paper": "1585570578", "venue": "60030702", "year": "2005", "title": "on ore s conjecture and its developments", "label": [ "162838799", "114614502", "2780990831", "12657307" ], "author": [ "2162584346", "343744965" ], "reference": [ "1015845666", "1494748022", "2060728047", "2139607673" ], "abstract": "the p component of the index of a number field k indp k depends only on the completions of k at the primes over p more precisely ind p k equals the index of the qp algebra k qp if k is normal then k q p l n for some l normal over qp and some n and we write ip nl for its index in this paper we describe an effective procedure to compute ip nl for all n and all normal and tamely ramified extensions l of qp hence to determine ind p k for all galois number fields that are tamely ramified at p using our procedure we are able to exhibit a counterexample to a conjecture of nart 1985 on the behaviour of ip nl", "title_raw": "On Ore's conjecture and its developments", "abstract_raw": "The p-component of the index of a number field K, indp(K), depends only on the completions of K at the primes over p. More precisely, ind p (K) equals the index of the Qp-algebra K \u2297 Qp. If K is normal, then K \u2297 Q p \u2245 L n for some L normal over Qp and some n, and we write Ip(nL) for its index. In this paper we describe an effective procedure to compute Ip(nL) for all n and all normal and tamely ramified extensions L of Qp, hence to determine ind p (K) for all Galois number fields that are tamely ramified at p. Using our procedure, we are able to exhibit a counterexample to a conjecture of Nart (1985) on the behaviour of Ip(nL)." }, { "paper": "2016109305", "venue": "53336109", "year": "2005", "title": "discrete adjoint approach for modeling unsteady aerodynamic design sensitivities", "label": [ "28826006", "133512626", "121758426", "126255220", "2778770139", "181145010" ], "author": [ "2097463831", "2135360591", "2141299102" ], "reference": [ "1549728389", "1992991401", "1996852196", "2061525819", "2063263929", "2080077631", "2113528424", "2114228640", "2114597014", "2116960696", "2124859571", "2129771546", "2132204012", "2146835784", "2158640099", "2162408501", "2169259801", "2319329301", "2331226942", "2569794406", "2997230959" ], "abstract": "a discrete adjoint approach is presented for computing steady and unsteady aerodynamic design sensitivities for compressible viscous flows about airfoil configurations the nominal flow solver method is based on a harmonic balance solution technique which is capable of modeling both steady and nonlinear periodic unsteady flows the computer code for the discrete adjoint solver which is derived from the nominal harmonic balance solver has been generated with the aid of the advanced automatic differentiation software tool known as taf transformation of algorithms in fortran", "title_raw": "Discrete Adjoint Approach for Modeling Unsteady Aerodynamic Design Sensitivities", "abstract_raw": "A discrete adjoint approach is presented for computing steady and unsteady aerodynamic design sensitivities for compressible viscous flows about airfoil configurations. The nominal flow solver method is based on a harmonic balance solution technique, which is capable of modeling both steady and nonlinear periodic unsteady flows. The computer code for the discrete adjoint solver, which is derived from the nominal harmonic balance solver, has been generated with the aid of the advanced automatic differentiation software tool known as TAF (Transformation of Algorithms in FORTRAN)." }, { "paper": "2071398011", "venue": "35412551", "year": "2005", "title": "smooth and nonsmooth dependence of lyapunov vectors upon the angle variable on a torus in the context of torus doubling transitions in the quasiperiodically forced henon map", "label": [ "9767117", "134306372", "164380108", "60640748", "2781349735", "2779745964" ], "author": [ "2067666513", "2303566032" ], "reference": [ "2081817659", "3199415720" ], "abstract": "a transition from a smooth torus to a chaotic attractor in quasiperiodically forced dissipative systems may occur after a finite number of torus doubling bifurcations in this paper we investigate the underlying bifurcational mechanism which is responsible for the termination of the torus doubling cascades on the routes to chaos in invertible maps under external quasiperiodic forcing we consider the structure in the vicinity of a smooth attracting invariant curve torus in the quasiperiodically forced henon map and characterize it in terms of lyapunov vectors which determine the directions of contraction for an element of phase space in a vicinity of the torus when the dependence of the lyapunov vectors upon the angle variable on the torus is smooth regular torus doubling bifurcation takes place on the other hand we observe a transition consisting of the appearance of a nonsmooth dependence of the lyapunov vectors upon the angle variable on the torus we show that torus doubling becomes impossible after this transition has occurred although the attractor of the system still remains a smooth torus we illustrate how the transition terminates the torus doubling bifurcation line in the parameter space with the torus transforming directly into a strange nonchaotic attractor we argue that the transition plays a key role in mechanisms of the onset of chaos in quasiperiodically forced invertible dynamical systems", "title_raw": "Smooth and nonsmooth dependence of Lyapunov vectors upon the angle variable on a torus in the context of torus-doubling transitions in the quasiperiodically forced H\u00e9non map.", "abstract_raw": "A transition from a smooth torus to a chaotic attractor in quasiperiodically forced dissipative systems may occur after a finite number of torus-doubling bifurcations. In this paper we investigate the underlying bifurcational mechanism, which is responsible for the termination of the torus-doubling cascades on the routes to chaos in invertible maps under external quasiperiodic forcing. We consider the structure in the vicinity of a smooth attracting invariant curve (torus) in the quasiperiodically forced Henon map and characterize it in terms of Lyapunov vectors, which determine the directions of contraction for an element of phase space in a vicinity of the torus. When the dependence of the Lyapunov vectors upon the angle variable on the torus is smooth, regular torus-doubling bifurcation takes place. On the other hand, we observe a transition consisting of the appearance of a nonsmooth dependence of the Lyapunov vectors upon the angle variable on the torus. We show that torus doubling becomes impossible after this transition has occurred, although the attractor of the system still remains a smooth torus. We illustrate how the transition terminates the torus-doubling bifurcation line in the parameter space with the torus transforming directly into a strange nonchaotic attractor. We argue that the transition plays a key role in mechanisms of the onset of chaos in quasiperiodically forced invertible dynamical systems." }, { "paper": "2127830850", "venue": "85738991", "year": "2005", "title": "fast analysis of electromagnetic scattering of 3 d dielectric bodies with augmented gmres fft method", "label": [ "159694833", "155332342", "75172450", "153919410", "27016315", "134306372", "186899397" ], "author": [ "1975314137", "2133163833", "2108897448", "2574078193", "2206713427", "2124606574", "2997027178" ], "reference": [ "1505881492", "1990351032", "1998366068", "2059694409", "2109599892", "2117837216", "2121920162", "2123589135", "2128836543", "2140153041", "2149101366", "2169099320" ], "abstract": "the problem of electromagnetic scattering by three dimensional dielectric bodies is formulated in terms of a weak formulation of the domain integral equation applying galerkin s method with rooftop functions as basis and testing functions the integral equation can be solved by the krylov subspace iterative fast fourier transform fft methods however poor convergence is observed when the relative permittivity of the scatterer becomes large in order to relieve this trouble an augmented generalized minimum residual method agmres is presented comparisons between several typical iterative methods are made to show the efficiency of our proposed method", "title_raw": "Fast analysis of electromagnetic scattering of 3-D dielectric bodies with augmented GMRES-FFT method", "abstract_raw": "The problem of electromagnetic scattering by three-dimensional dielectric bodies is formulated in terms of a weak formulation of the domain-integral equation. Applying Galerkin's method with rooftop functions as basis and testing functions, the integral equation can be solved by the Krylov-subspace iterative fast Fourier transform (FFT) methods. However, poor convergence is observed when the relative permittivity of the scatterer becomes large. In order to relieve this trouble, an augmented generalized minimum residual method (AGMRES) is presented. Comparisons between several typical iterative methods are made to show the efficiency of our proposed method." }, { "paper": "2033137870", "venue": "50372074", "year": "2005", "title": "chebyshev finite difference method for the solution of boundary layer equations", "label": [ "21424316", "142484921", "196512905", "181330731", "205951836", "48753275", "200602138", "134306372" ], "author": [ "2055459981" ], "reference": [ "140628048", "1523480373", "1574656040", "1912930600", "1967242138", "1969307568", "1971099220", "1989300331", "2003549704", "2019245316", "2031331941", "2035603393", "2043505906", "2052778538", "2069510205", "2131236715", "2318788438", "2408478130" ], "abstract": "a new chebyshev finite difference method is proposed for solving the governing equations of the boundary layer flow the falkner skan equation has been solved as a model problem the more general problem of the equations governing magnetohydrodynamic three dimensional free convection on a vertical stretching surface is solved the comparisons between the data resulting from the present method and those obtained by others are made the results indicate that the suggested method yields more accurate results than those computed by others", "title_raw": "Chebyshev finite difference method for the solution of boundary-layer equations", "abstract_raw": "A new Chebyshev finite difference method is proposed for solving the governing equations of the boundary-layer flow. The Falkner-Skan equation has been solved as a model problem. The more general problem of the equations governing magnetohydrodynamic three dimensional free convection on a vertical stretching surface is solved. The comparisons between the data resulting from the present method and those obtained by others are made. The results indicate that the suggested method yields more accurate results than those computed by others." }, { "paper": "2963337911", "venue": "62223294", "year": "2005", "title": "severi varieties and their varieties of reductions", "label": [ "205826798", "92757383", "33676613", "202444582", "68363185", "39757861", "83716740" ], "author": [ "2152937190", "2466965205" ], "reference": [ "87231765", "168845600", "649989581", "1482975181", "1498076803", "1515192744", "1549244756", "1633540126", "1864449752", "1903227824", "1974297348", "1999529321", "2009650218", "2018351175", "2114071625", "2167828563", "2335502319", "2734082555", "2951713404", "3037959859" ], "abstract": "", "title_raw": "Severi varieties and their varieties of reductions", "abstract_raw": "" }, { "paper": "2024346620", "venue": "70695507", "year": "2005", "title": "quasi linear degenerate elliptic problems with l1 data", "label": [ "179603306", "2777021972", "142805521", "134306372" ], "author": [ "2965829300", "2714778776", "2602265504" ], "reference": [ "373450297", "1485179962", "1963736635", "1970967397", "1981218359", "2023747041", "2036377279", "2039330722", "2045547814", "2087848789", "2097135693", "2165712860", "2274091136", "2397969115", "2477109086", "2606630401" ], "abstract": "abstract we prove existence and uniqueness of a solution for a class of quasi linear problems with l 1 data the diffusion matrix a x u is allowed to degenerate with respect to the unknown u we obtain uniqueness of the solution under a weak assumption on a x u that permits to consider highly oscillating or and increasing coefficients with respect to u", "title_raw": "Quasi-linear degenerate elliptic problems with L1 data", "abstract_raw": "Abstract We prove existence and uniqueness of a solution for a class of quasi-linear problems with L 1 data. The diffusion matrix A ( x , u ) is allowed to degenerate with respect to the unknown u. We obtain uniqueness of the solution under a weak assumption on A ( x , u ) that permits to consider highly oscillating or/and increasing coefficients (with respect to u)." }, { "paper": "2030258730", "venue": "53336109", "year": "2005", "title": "evaluation of near wall turbulence models for deliberately roughened liquid annular seals", "label": [ "2524010", "50415386", "73000952", "181145010" ], "author": [ "2154404648", "2129667511", "2120708521" ], "reference": [ "630244277", "1973057133", "1995862679", "2000671461", "2012498417", "2033712433", "2059272955", "2079397389", "2085678550", "2125720881", "2137059581", "2276805894", "2588211551", "3177824747" ], "abstract": "an extensive numerical evaluation of the performance of two near wall treatments and two core flow turbulence models has been done while simulating experimental tests of water flowing between flat plates with deliberately roughened surfaces these flat plate tests replicated the results of several annular seal experiments in which friction factor increased as the seal clearance increased annular seals are extensively used in a wide range of turbomachinery and their design influences efficiency and rotordynamic stability a commercial code fluent was used to solve the reynolds averaged navier stokes equations with the flat plate tests as a reference the performance of the standard wall functions based on the law of the wall as near wall treatment of turbulence was evaluated and compared to the two layer zonal approach similarly the solutions obtained with the standard and renormalization group method versions of the first order closure k e model were contrasted to those obtained with a second order closure the reynolds stress model although the main features of the friction factor behavior observed in the experiments under study were reproduced with a simple two dimensional approach the present work concentrates on the numerical detail and lessons learned while obtaining such results it was found that wall function solutions are extremely sensitive to the location of the first grid point near the wall even if it is located within the overlap region in addition the low reynolds nature of the flow requires coarse meshing making any k e model solution grid dependent on the other hand the two layer zonal model is more consistent and it is not sensitive to the location of the first grid point near the wall provided it is located at a y distance no larger than 10 solutions obtained with the latter approach and the reynolds stress model are found to be grid independent in summary a numerical solution is truly grid independent when it is consistently replicated upon variation of the discretization scheme the pressure to velocity linking method the algebraic equation solving algorithm and the mesh size and type in low reynolds number turbulent flow the two layer zonal approach fulfills such statement as near wall treatment of turbulence", "title_raw": "Evaluation of Near-Wall Turbulence Models for Deliberately Roughened Liquid Annular Seals", "abstract_raw": "An extensive numerical evaluation of the performance of two near-wall treatments and two core-flow turbulence models has been done while simulating experimental tests of water flowing between flat plates with deliberately roughened surfaces. These flat-plate tests replicated the results of several annular seal experiments in which friction factor increased as the seal clearance increased. Annular seals are extensively used in a wide range of turbomachinery, and their design influences efficiency and rotordynamic stability. A commercial code, FLUENT, was used to solve the Reynolds-averaged Navier\u2010Stokes equations with the flat-plate tests as a reference. The performance of the standard wall functions, based on the law of the wall, as near-wall treatment of turbulence was evaluated and compared to the two-layer-zonal approach. Similarly, the solutions obtained with the standard and \u201crenormalization group\u201d method versions of the first-order closure k\u2010e model were contrasted to those obtained with a second-order closure, the Reynolds-stress model. Although the main features of the friction factor behavior observed in the experiments under study were reproduced with a simple two-dimensional approach, the present work concentrates on the numerical detail and lessons learned while obtaining such results. It was found that wall function solutions are extremely sensitive to the location of the first grid point near the wall, even if it is located within the overlap region. In addition, the low-Reynolds nature of the flow requires coarse meshing making any k\u2010e model solution grid dependent. On the other hand, the two-layer zonal model is more consistent, and it is not sensitive to the location of the first grid point near the wall, provided it is located at a y + distance no larger than 10. Solutions obtained with the latter approach and the Reynolds-stress model are found to be grid independent. In summary, a numerical solution is truly grid independent when it is consistently replicated upon variation of the discretization scheme, the pressure-to-velocity linking method, the algebraic equation solving algorithm, and the mesh size and type. In low-Reynolds-number turbulent flow, the two-layer zonal approach fulfills such statement as near-wall treatment of turbulence." }, { "paper": "2165728640", "venue": "134177497", "year": "2005", "title": "copula like operations on finite settings", "label": [ "144170203", "118615104", "125565743", "159423971", "9991821", "17618745", "149441793", "2776230367", "84140500" ], "author": [ "2110892930", "2112237746", "2157040812" ], "reference": [ "1485625483", "1734452708", "2054483756", "2086412078", "2119436275", "2121610351", "2159911298", "2907233437" ], "abstract": "this paper deals with discrete copulas considered as a class of binary aggregation operators on a finite chain a representation theorem by means of permutation matrices is given from this characterization we study the structure of associative discrete copulas and a theorem of decomposition of any discrete copula in terms of associative discrete copulas is obtained finally some aspects concerning their extension to copulas are dealt with", "title_raw": "Copula-like operations on finite settings", "abstract_raw": "This paper deals with discrete copulas considered as a class of binary aggregation operators on a finite chain. A representation theorem by means of permutation matrices is given. From this characterization, we study the structure of associative discrete copulas and a theorem of decomposition of any discrete copula in terms of associative discrete copulas is obtained. Finally, some aspects concerning their extension to copulas are dealt with." }, { "paper": "2090514776", "venue": "50372074", "year": "2005", "title": "products and ratios for a bivariate gamma distribution", "label": [ "149717495", "18653775", "44563069", "134306372", "202444582", "42337464", "50757856", "44648626" ], "author": [ "2015805520" ], "reference": [ "1500259983", "1976761149", "1979451797", "1984974814", "1992615874", "1997216641", "1997914622", "2000166713", "2000886407", "2002641579", "2022950645", "2034478315", "2038642476", "2046064809", "2052613687", "2070900731", "2074604155", "2087256606", "2092164462", "2130713531", "2132397102", "2135439439", "2148507806", "2157005274", "2169403045", "2317106396", "2540234126", "2796197453" ], "abstract": "we derive the distributions of p xy and w x x y and the corresponding moment properties when x and y follow a bivariate gamma distribution the expressions turn out to involve several special functions we also provide extensive tabulations of the percentage points associated with the two distributions these tables obtained using intensive computing power will be of use to practitioners of the bivariate gamma distribution", "title_raw": "Products, and ratios for a bivariate gamma distribution", "abstract_raw": "We derive the distributions of P=XY and W=X/(X+Y) and the corresponding moment properties when X and Y follow a bivariate gamma distribution. The expressions turn out to involve several special functions. We also provide extensive tabulations of the percentage points associated with the two distributions. These tables-obtained using intensive computing power-will be of use to practitioners of the bivariate gamma distribution." }, { "paper": "1997852691", "venue": "189344224", "year": "2005", "title": "dynamic analysis of composite plate with multiple delaminations based on higher order zigzag theory", "label": [ "16826683", "192271897", "182310444", "2778378087", "135628077", "7131667", "2777229905" ], "author": [ "2186836738", "2104916731", "2159901053" ], "reference": [ "1669536326", "1981088462", "1981213853", "1991289302", "1992575740", "1996640293", "1999306481", "2011019069", "2015212754", "2016359260", "2031447265", "2051096091", "2053805568", "2054506242", "2054552877", "2056375289", "2070391482", "2071033961", "2071424955", "2072193973", "2075505595", "2077810266", "2078011311", "2086075688", "2096895117", "2099933380", "2135807752", "2149977459", "2151750839", "2158240664", "2167603733", "2313012860", "2327486952", "2334218625", "3179168638" ], "abstract": "in a recent paper cho and kim journal of applied mechanics proposed a higher order cubic zigzag theory of laminated composites with multiple delaminations the proposed theory is not only accurate but also efficient because it work with a minimal number of degrees of freedom with the application of interface continuity conditions as well as bounding surface conditions of transverse shear stresses including delaminated interfaces in this work we investigate the dynamic behavior of laminated composite plates with multiple delaminations a four node finite element based on the efficient higher order zigzag plate theory of laminated composite plates with multiple delaminations is developed to refine the prediction of frequencies mode shape and time response through the dynamic version of the variational approach the dynamic equilibrium equations and variationally consistent boundary conditions are obtained natural frequency prediction and time response analysis of a composite plate with multiple delaminations demonstrate the accuracy and efficiency of the present finite element method to prevent penetration violation at the delamination interfaces unilateral contact constraints by lagrange multiplier method are applied in the time response analysis the present finite element is suitable for the prediction of dynamic response of thick composite plates with multiple and arbitrary shaped delaminations", "title_raw": "Dynamic analysis of composite plate with multiple delaminations based on higher-order zigzag theory", "abstract_raw": "In a recent paper, Cho and Kim [Journal of Applied Mechanics] proposed a higher-order cubic zigzag theory of laminated composites with multiple delaminations. The proposed theory is not only accurate but also efficient because it work with a minimal number of degrees of freedom with the application of interface continuity conditions as well as bounding surface conditions of transverse shear stresses including delaminated interfaces. In this work, we investigate the dynamic behavior of laminated composite plates with multiple delaminations. A four-node finite element based on the efficient higher-order zigzag plate theory of laminated composite plates with multiple delaminations is developed to refine the prediction of frequencies, mode shape, and time response. Through the dynamic version of the variational approach, the dynamic equilibrium equations and variationally consistent boundary conditions are obtained. Natural frequency prediction and time response analysis of a composite plate with multiple delaminations demonstrate the accuracy and efficiency of the present finite element method. To prevent penetration violation at the delamination interfaces, unilateral contact constraints by Lagrange multiplier method are applied in the time response analysis. The present finite element is suitable for the prediction of dynamic response of thick composite plates with multiple and arbitrary shaped delaminations." }, { "paper": "3101259167", "venue": "60030702", "year": "2005", "title": "on neoclassical schottky groups", "label": [ "124961601", "62354387", "18556879", "202444582", "26064070", "118299288" ], "author": [ "2117211139", "207469773" ], "reference": [ "137115240", "146027573", "1974524570", "1986895864", "2004985109", "2049674080", "2051024348", "2060949285", "2068504133", "2084821069", "2086754222", "2088902376", "2315149864", "2497623094", "2963803314" ], "abstract": "the goal of this paper is to describe a theoretical construction of an infinite collection of non classical schottky groups we first show that there are infinitely many non classical noded schottky groups on the boundary of schottky space and we show that infinitely many of these are sufficiently complicated we then show that every schottky group in an appropriately defined relative conical neighborhood of any sufficiently complicated noded schottky group is necessarily non classical finally we construct two examples the first is a noded riemann surface of genus 3 that cannot be uniformized by any neoclassical schottky group i e classical noded schottky group the second is an explicit example of a sufficiently complicated noded schottky group in genus 3", "title_raw": "On neoclassical Schottky groups", "abstract_raw": "The goal of this paper is to describe a theoretical construction of an infinite collection of non-classical Schottky groups. We first show that there are infinitely many non-classical noded Schottky groups on the boundary of Schottky space, and we show that infinitely many of these are \"sufficiently complicated\". We then show that every Schottky group in an appropriately defined relative conical neighborhood of any sufficiently complicated noded Schottky group is necessarily non-classical. Finally, we construct two examples; the first is a noded Riemann surface of genus 3 that cannot be uniformized by any neoclassical Schottky group (i.e., classical noded Schottky group); the second is an explicit example of a sufficiently complicated noded Schottky group in genus 3." }, { "paper": "2106369611", "venue": "168680287", "year": "2005", "title": "adaptive power techniques for blind channel estimation in cdma systems", "label": [ "126255220", "145249878", "159694833", "32617633", "179799912", "2776003309", "72279823", "2777104032", "11413529" ], "author": [ "230302442", "2310827335" ], "reference": [ "1573061337", "1573422257", "1597246871", "1649328133", "1868765010", "2026893750", "2074722452", "2101425297", "2110284584", "2116807051", "2144228966", "2146084761", "2154297327", "2159187245", "2787592613", "2798333393", "2912369344" ], "abstract": "the problem of blind adaptive channel estimation in code division multiple access cdma systems is considered motivated by the iterative power method which is used in numerical analysis for estimating singular values and singular vectors we develop recursive least squares rls and least mean squares lms subspace based adaptive algorithms in order to identify the impulse response of the multipath channel the schemes proposed in this paper use only the spreading code of the user of interest and the received data and are therefore blind both versions rls and lms exhibit rapid convergence combined with low computational complexity with the help of simulations we demonstrate the improved performance of our methods as compared with the already existing techniques in the literature", "title_raw": "Adaptive power techniques for blind channel estimation in CDMA systems", "abstract_raw": "The problem of blind adaptive channel estimation in code-division multiple access (CDMA) systems is considered. Motivated by the iterative power method, which is used in numerical analysis for estimating singular values and singular vectors, we develop recursive least squares (RLS) and least mean squares (LMS) subspace-based adaptive algorithms in order to identify the impulse response of the multipath channel. The schemes proposed in this paper use only the spreading code of the user of interest and the received data and are therefore blind. Both versions (RLS and LMS) exhibit rapid convergence combined with low computational complexity. With the help of simulations, we demonstrate the improved performance of our methods as compared with the already-existing techniques in the literature." }, { "paper": "2026661953", "venue": "105693234", "year": "2005", "title": "backward stochastic differential equations on manifolds", "label": [ "192939610", "178207025", "134306372", "78045399", "48406656", "195956108", "191174866", "51955184", "2779560616", "28826006" ], "author": [ "2497657379" ], "reference": [ "43426828", "58992567", "94839203", "359928931", "1511896630", "1561367079", "1965138785", "1971836076", "1974089071", "1974228548", "1994791309", "2038518354", "2040125300", "2044614119", "2045577524", "2051798720", "2070504031", "2078895915", "2084966478", "2095055212", "2137192128", "2148135435", "2149557824", "2157883119", "2285130432", "2482383861", "2520882703", "2799137445" ], "abstract": "the problem of finding a martingale on a manifold with a fixed random terminal value can be solved by considering bsdes with a generator with quadratic growth we study here a generalization of these equations and we give uniqueness and existence results in two different frameworks using differential geometry tools applications to pdes are given including a certain class of dirichlet problems on manifolds", "title_raw": "Backward stochastic differential equations on manifolds", "abstract_raw": "The problem of finding a martingale on a manifold with a fixed random terminal value can be solved by considering BSDEs with a generator with quadratic growth. We study here a generalization of these equations and we give uniqueness and existence results in two different frameworks, using differential geometry tools. Applications to PDEs are given, including a certain class of Dirichlet problems on manifolds." }, { "paper": "2126001881", "venue": "40212770", "year": "2005", "title": "central limit theorems for sequences of multiple stochastic integrals", "label": [ "134306372", "122203268", "38582570", "32645036", "54865166", "166785042", "95763700" ], "author": [ "2136013655", "150967284" ], "reference": [ "1483560004", "1545370368", "1554577510", "1799482306", "2055105988", "2061630179", "2065240584", "2202259025" ], "abstract": "we characterize the convergence in distribution to a standard normal law for a sequence of multiple stochastic integrals of a fixed order with variance converging to 1 some applications are given in particular to study the limiting behavior of quadratic functionals of gaussian processes", "title_raw": "Central limit theorems for sequences of multiple stochastic integrals", "abstract_raw": "We characterize the convergence in distribution to a standard normal law for a sequence of multiple stochastic integrals of a fixed order with variance converging to 1. Some applications are given, in particular to study the limiting behavior of quadratic functionals of Gaussian processes." }, { "paper": "1976154456", "venue": "985303", "year": "2005", "title": "generalized p values and confidence intervals for variance components applications to army test and evaluation", "label": [ "205167067", "105795698", "149782125", "16012445", "60459655", "105385029", "87007009", "44249647" ], "author": [ "2099879852", "2624750073" ], "reference": [ "17170342", "1975774534", "1976372411", "1982256346", "2024551834", "2033022728", "2045211546", "2045638068", "2060970551", "2074418096", "2120350343", "2150721697", "2153668695", "2795715192" ], "abstract": "various mixed models that are relevant for analyzing army test data are described along with several hypothesis testing and interval estimation problems the problems come up in the context of inv", "title_raw": "Generalized p values and confidence intervals for variance components : Applications to army test and evaluation", "abstract_raw": "Various mixed models that are relevant for analyzing Army test data are described, along with several hypothesis testing and interval estimation problems. The problems come up in the context of inv..." }, { "paper": "2022846662", "venue": "119757635", "year": "2005", "title": "posterior propriety and admissibility of hyperpriors in normal hierarchical models", "label": [ "177769412", "6260981", "57830394", "149782125", "8642999", "185429906", "126255220", "177384507", "111350023" ], "author": [ "2137590257", "1289124053", "2635305700" ], "reference": [ "37880636", "1494853941", "1513453242", "1529380975", "1598266570", "1965284210", "1970431297", "1981474588", "1985093013", "1988520084", "1992951219", "1998017769", "2017398724", "2019055458", "2024315245", "2035764921", "2036671812", "2036786210", "2039018341", "2041186518", "2042204462", "2061461017", "2070404536", "2074213722", "2077020715", "2088632131", "2091353323", "2092151549", "2102890221", "2153086947", "2162193517", "2277729655", "2470355332", "2479390720", "2564360136", "3195084822" ], "abstract": "hierarchical modeling is wonderful and here to stay but hyperparameter priors are often chosen in a casual fashion unfortunately as the number of hyperparameters grows the effects of casual choices can multiply leading to considerably inferior performance as an extreme but not uncommon example use of the wrong hyperparameter priors can even lead to impropriety of the posterior for exchangeable hierarchical multivariate normal models we first determine when a standard class of hierarchical priors results in proper or improper posteriors we next determine which elements of this class lead to admissible estimators of the mean under quadratic loss such considerations provide one useful guideline for choice among hierarchical priors finally computational issues with the resulting posterior distributions are addressed", "title_raw": "Posterior propriety and admissibility of hyperpriors in normal hierarchical models", "abstract_raw": "Hierarchical modeling is wonderful and here to stay, but hyperparameter priors are often chosen in a casual fashion. Unfortunately, as the number of hyperparameters grows, the effects of casual choices can multiply, leading to considerably inferior performance. As an extreme, but not uncommon, example use of the wrong hyperparameter priors can even lead to impropriety of the posterior. For exchangeable hierarchical multivariate normal models, we first determine when a standard class of hierarchical priors results in proper or improper posteriors. We next determine which elements of this class lead to admissible estimators of the mean under quadratic loss; such considerations provide one useful guideline for choice among hierarchical priors. Finally, computational issues with the resulting posterior distributions are addressed." }, { "paper": "2111016559", "venue": "151579836", "year": "2005", "title": "mixed type duality for multiobjective variational problems with generalized f \u03c1 convexity", "label": [ "28826006", "185503591", "134306372", "163863214" ], "author": [ "2171445539", "1444717345" ], "reference": [ "1981662088", "1997389908", "2024600755", "2024868409", "2029738097", "2032341808", "2057610906", "2083492057", "2084325220", "2088942587", "2127489714", "2142506503", "2153015072", "2321984564" ], "abstract": "a mixed type dual for multiobjective variational problems is formulated several duality theorems are established relating properly efficient solutions of the primal and dual variational problems under generalized f convexity static mixed type dual multiobjective problems are particular cases of these problems", "title_raw": "Mixed type duality for multiobjective variational problems with generalized (F,\u03c1)-convexity", "abstract_raw": "A mixed type dual for multiobjective variational problems is formulated. Several duality theorems are established relating properly efficient solutions of the primal and dual variational problems under generalized (F, \u03c1)-convexity. Static mixed type dual multiobjective problems are particular cases of these problems." }, { "paper": "1995715179", "venue": "99182027", "year": "2005", "title": "stability and bifurcation analysis in van der pol s oscillator with delayed feedback", "label": [ "55610538", "172435161", "86243350", "194271172", "98010927", "165150564", "85075877", "101225446", "134306372" ], "author": [ "2645888856", "2713711862" ], "reference": [ "1966661952", "1981479913", "2011676446", "2015727116", "2039775357", "2059503545", "2062210472", "2079871064", "2089876099", "2136003379", "2138342631" ], "abstract": "abstract the classical van der pol equation with delayed feedback and a modified equation where a delayed term provides the damping are considered linear stability of the equations is investigated by analyzing the associated characteristic equations it is found that there exist the stability switches when delay varies and the hopf bifurcation occurs when the delay passes through a sequence of critical values the bifurcation diagram is drawn in e k plane and the stability and direction of the hopf bifurcation are determined by applying the normal form theory and the center manifold theorem", "title_raw": "Stability and bifurcation analysis in Van der Pol's oscillator with delayed feedback", "abstract_raw": "Abstract The classical Van der Pol equation with delayed feedback and a modified equation where a delayed term provides the damping are considered. Linear stability of the equations is investigated by analyzing the associated characteristic equations. It is found that there exist the stability switches when delay varies, and the Hopf bifurcation occurs when the delay passes through a sequence of critical values. The bifurcation diagram is drawn in ( e , k )-plane, and the stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem." }, { "paper": "1992178704", "venue": "61604500", "year": "2005", "title": "topology regulates pattern formation capacity of binary cellular automata on graphs", "label": [ "48372109", "126794175", "47458327", "157406716", "35527583" ], "author": [ "2155322050", "2894445354" ], "reference": [ "1524662923", "1970441315", "1971224531", "1991306266", "2001109406", "2008620264", "2010320710", "2036424138", "2038195874", "2040956707", "2041681134", "2063892729", "2086556331", "2096296558", "2112090702", "2125315567", "2130790725", "2144885342", "2164727176", "2248098242", "2984082012", "3102170887" ], "abstract": "abstract we study the effect of topology variation on the dynamic behavior of a system with local update rules we implement one dimensional binary cellular automata on graphs with various topologies by formulating two sets of degree dependent rules each containing a single parameter we observe that changes in graph topology induce transitions between different dynamic domains wolfram classes without a formal change in the update rule along with topological variations we study the pattern formation capacities of regular random small world and scale free graphs pattern formation capacity is quantified in terms of two entropy measures which for standard cellular automata allow a qualitative distinction between the four wolfram classes a mean field model explains the dynamic behavior of random graphs implications for our understanding of information transport through complex network based systems are discussed", "title_raw": "Topology regulates pattern formation capacity of binary cellular automata on graphs", "abstract_raw": "Abstract We study the effect of topology variation on the dynamic behavior of a system with local update rules. We implement one-dimensional binary cellular automata on graphs with various topologies by formulating two sets of degree-dependent rules, each containing a single parameter. We observe that changes in graph topology induce transitions between different dynamic domains (Wolfram classes) without a formal change in the update rule. Along with topological variations, we study the pattern formation capacities of regular, random, small-world and scale-free graphs. Pattern formation capacity is quantified in terms of two entropy measures, which for standard cellular automata allow a qualitative distinction between the four Wolfram classes. A mean-field model explains the dynamic behavior of random graphs. Implications for our understanding of information transport through complex, network-based systems are discussed." }, { "paper": "1959060057", "venue": "130224168", "year": "2005", "title": "the cohomological equation for roth type interval exchange maps", "label": [ "115667082", "27851653", "178042281", "122044880", "118615104", "118733216", "2780932289", "2778067643", "18556879" ], "author": [ "1906616888", "2685998285", "676984133" ], "reference": [ "38486277", "1527236515", "1607950242", "1967624922", "1975739906", "1992526772", "1993488772", "1996406379", "1997620342", "2008851703", "2013741628", "2021505539", "2038163780", "2045102773", "2052789541", "2063407780", "2073123112", "2078618339", "2081817659", "2082843460", "2091330015", "2093692854", "2094017629", "2157928072", "2166038519", "2312274408", "2322509759", "2325290565", "2325774824", "2332674254" ], "abstract": "0 introduction 0 1 interval exchange maps 0 2 the cohomological equation 0 3 summary of the contents 1 the continued fraction algorithm for interval exchange maps 1 1 interval exchange maps 1 2 the continued fraction algorithm 1 3 roth type interval exchange maps 2 the cohomological equation 2 1 the theorem of gottschalk and hedlund 2 2 special birkhoff sums 2 3 estimates for functions of bounded variation 2 4 primitives of functions of bounded variation 3 suspensions of interval exchange maps 3 1 suspension data 3 2 construction of a riemann surface 3 3 compactification of m 3 4 the cohomological equation for higher smoothness 4 proof of full measure for roth type 4 1 the basic operation of the algorithm for suspensions 4 2 the teichmuller flow 4 3 the absolutely continuous invariant measure 4 4 integrability of log z 1 4 5 conditions b and c have full measure 4 6 the main step 4 7 condition a has full measure 4 8 proof of the proposition appendix a roth type conditions in a concrete family of interval exchange maps appendix b a nonuniquely ergodic interval exchange map satisfying condition a", "title_raw": "The cohomological equation for Roth-type interval exchange maps", "abstract_raw": "0. Introduction 0.1. Interval exchange maps 0.2. The cohomological equation 0.3. Summary of the contents 1. The continued fraction algorithm for interval exchange maps 1.1. Interval exchange maps 1.2. The continued fraction algorithm 1.3. Roth-type interval exchange maps 2. The cohomological equation 2.1. The theorem of Gottschalk and Hedlund 2.2. Special Birkhoff sums 2.3. Estimates for functions of bounded variation 2.4. Primitives of functions of bounded variation 3. Suspensions of interval exchange maps 3.1. Suspension data 3.2. Construction of a Riemann surface 3.3. Compactification of M\u2217 \u03b6 3.4. The cohomological equation for higher smoothness 4. Proof of full measure for Roth type 4.1. The basic operation of the algorithm for suspensions 4.2. The Teichmuller flow 4.3. The absolutely continuous invariant measure 4.4. Integrability of log \u2016Z(1)\u2016 4.5. Conditions (b) and (c) have full measure 4.6. The main step 4.7. Condition (a) has full measure 4.8. Proof of the proposition Appendix A. Roth-type conditions in a concrete family of interval exchange maps Appendix B. A nonuniquely ergodic interval exchange map satisfying condition (a)" }, { "paper": "1986427870", "venue": "99182027", "year": "2005", "title": "a theoretical formulation of the dynamical response of a master structure coupled with elastic continuous fuzzy subsystems with discrete attachments", "label": [ "62354387", "10927425", "131336679", "99679407", "144618667", "65244806", "134306372" ], "author": [ "2039464282", "2202401310" ], "reference": [ "1523630414", "1863321137", "1977492655", "1981490703", "1997636478", "1998156610", "2036655881", "2038179497", "2073390892", "2078601783", "2091529732", "2148839232", "2162177612", "2592569150", "2594007217" ], "abstract": "we present the formulation of the dynamic response of a master structure coupled with a locally homogeneous and orthotropic structural fuzzy with discrete attachment composed of elastic continuous fuzzy subsystems as introduced by soize the master structure is the part of the coupled system which is accessible by classical modeling whereas the structural fuzzy represents systems connected to the master structure whose characteristics are imprecisely known a deterministic formulation of the boundary impedance of a general continuous structural fuzzy which models its action on the master structure is derived it is shown that the formulation is different from the solution proposed by soize in the context of the type i fuzzy law established from the deterministic model of a linear oscillator excited by its support finally the general boundary impedance is applied to the special situation of a structural fuzzy composed of elastic bars whose geometrical parameters are randomly defined and numerical results are presented", "title_raw": "A theoretical formulation of the dynamical response of a master structure coupled with elastic continuous fuzzy subsystems with discrete attachments", "abstract_raw": "We present the formulation of the dynamic response of a master structure coupled with a locally homogeneous and orthotropic structural fuzzy, with discrete attachment, composed of elastic continuous fuzzy subsystems. As introduced by Soize, the master structure is the part of the coupled system which is accessible by classical modeling, whereas the structural fuzzy represents systems connected to the master structure, whose characteristics are imprecisely known. A deterministic formulation of the boundary impedance of a general continuous structural fuzzy, which models its action on the master structure, is derived: it is shown that the formulation is different from the solution proposed by Soize in the context of the type I fuzzy law, established from the deterministic model of a linear oscillator excited by its support. Finally, the general boundary impedance is applied to the special situation of a structural fuzzy composed of elastic bars whose geometrical parameters are randomly defined, and numerical results are presented." }, { "paper": "2031534006", "venue": "119757635", "year": "2005", "title": "contour regression a general approach to dimension reduction", "label": [ "152877465", "27931671", "105795698", "99656134", "74127309", "41341539", "28826006", "203616005" ], "author": [ "2136794847", "2099091510", "308332410" ], "reference": [ "30853191", "1501592457", "1566855379", "1971713783", "1971789569", "1978930294", "1985683489", "2024307779", "2027244596", "2049496090", "2067729692", "2073936810", "2144405862", "2159813797", "2163490846", "2171050905", "2211925278", "2507912428", "2797333853" ], "abstract": "we propose a novel approach to sufficient dimension reduction in regression based on estimating contour directions of small variation in the response these directions span the orthogonal complement of the minimal space relevant for the regression and can be extracted according to two measures of variation in the response leading to simple and general contour regression scr and gcr methodology in comparison with existing sufficient dimension reduction techniques this contour based methodology guarantees exhaustive estimation of the central subspace under ellipticity of the predictor distribution and mild additional assumptions while maintaining sqrt n consistency and computational ease moreover it proves robust to departures from ellipticity we establish population properties for both scr and gcr and asymptotic properties for scr simulations to compare performance with that of standard techniques such as ordinary least squares sliced inverse regression principal hessian directions and sliced average variance estimation confirm the advantages anticipated by the theoretical analyses we demonstrate the use of contour based methods on a data set concerning soil evaporation", "title_raw": "Contour regression: A general approach to dimension reduction", "abstract_raw": "We propose a novel approach to sufficient dimension reduction in regression, based on estimating contour directions of small variation in the response. These directions span the orthogonal complement of the minimal space relevant for the regression and can be extracted according to two measures of variation in the response, leading to simple and general contour regression (SCR and GCR) methodology. In comparison with existing sufficient dimension reduction techniques, this contour-based methodology guarantees exhaustive estimation of the central subspace under ellipticity of the predictor distribution and mild additional assumptions, while maintaining $\\sqrt{n}$-consistency and computational ease. Moreover, it proves robust to departures from ellipticity. We establish population properties for both SCR and GCR, and asymptotic properties for SCR. Simulations to compare performance with that of standard techniques such as ordinary least squares, sliced inverse regression, principal Hessian directions and sliced average variance estimation confirm the advantages anticipated by the theoretical analyses. We demonstrate the use of contour-based methods on a data set concerning soil evaporation." }, { "paper": "2130484471", "venue": "90727058", "year": "2005", "title": "separable equilibrium state probabilities via time reversal in markovian process algebra", "label": [ "127491075", "98763669", "108710211", "149441793", "159886148", "125565743", "2780199071", "176935170" ], "author": [ "2065390944", "2416479650" ], "reference": [ "908422167", "1907401487", "1979531751", "2003436900", "2010744884", "2016993489", "2021089599", "2053491613", "2060840612", "2094055697", "2109142454", "2167563022", "2563308422" ], "abstract": "the reversed compound agent theorem rcat is a compositional result that uses markovian process algebra mpa to derive the reversed process of certain interactions between two continuous time markov chains at equilibrium from this reversed process together with the given forward process the joint state probabilities can be expressed as a product form although no general algorithm has previously been given this paper first generalises rcat to multiple more than two cooperating agents which removes the need for multiple applications and inductive proofs in cooperations of an arbitrary number of processes a new result shows a simple stochastic equivalence between cooperating synchronised processes and corresponding parallel asynchronous processes this greatly simplifies the proof of the new multi agent theorem which includes a statement of the desired product form solution itself as a product of given state probabilities in the parallel components the reversed process and product form thus derived rely on a solution to certain rate equations and it is shown for the first time that a unique solution exists under mild conditions certainly for queueing networks and g networks", "title_raw": "Separable equilibrium state probabilities via time reversal in Markovian process algebra", "abstract_raw": "The reversed compound agent theorem (RCAT) is a compositional result that uses Markovian process algebra (MPA) to derive the reversed process of certain interactions between two continuous time Markov chains at equilibrium. From this reversed process, together with the given, forward process, the joint state probabilities can be expressed as a product-form, although no general algorithm has previously been given. This paper first generalises RCAT to multiple (more than two) cooperating agents, which removes the need for multiple applications and inductive proofs in cooperations of an arbitrary number of processes. A new result shows a simple stochastic equivalence between cooperating, synchronised processes and corresponding parallel, asynchronous processes. This greatly simplifies the proof of the new, multi-agent theorem, which includes a statement of the desired product-form solution itself as a product of given state probabilities in the parallel components. The reversed process and product-form thus derived rely on a solution to certain rate equations and it is shown, for the first time, that a unique solution exists under mild conditions--certainly for queueing networks and G-networks." }, { "paper": "2014002183", "venue": "70695507", "year": "2005", "title": "an elliptic problem with jumping nonlinearities", "label": [ "37914503", "179603306", "134306372", "62354387", "158693339", "182310444", "156004811", "34388435", "62168872" ], "author": [ "2653052646", "2658266697" ], "reference": [ "171184237", "1251777638", "1575983931", "1584776148", "1619080655", "1911959267", "1987090810", "1994959064", "1995098420", "1995843622", "2012176679", "2021051492", "2036362248", "2050203976", "2073432063", "2092781458", "2094247338", "2473865060", "2594865975", "3021722416", "3146812583" ], "abstract": "abstract it is proved that the elliptic problem u f x u in u 0 on on a bounded domain r n with smooth boundary has two sign changing solutions and one positive solution if f c 1 r r satisfies i f u x 0 i 1 for some i 2 lim sup u f x u u 1 lim inf u f x u u and lim sup u f x u u where 1 2 3 are eigenvalues of with 0 dirichlet boundary condition on counting with their multiplicity", "title_raw": "An elliptic problem with jumping nonlinearities", "abstract_raw": "Abstract It is proved that the elliptic problem - \u0394 u = f ( x , u ) in \u03a9 , u = 0 on \u2202 \u03a9 on a bounded domain \u03a9 \u2282 R N with smooth boundary has two sign-changing solutions and one positive solution if f \u2208 C 1 ( \u03a9 \u00af \u00d7 R , R ) satisfies \u03bc i f u \u2032 ( x , 0 ) \u03bc i + 1 for some i \u2a7e 2 , lim sup u \u2192 + \u221e f ( x , u ) / u \u03bc 1 lim inf u \u2192 - \u221e f ( x , u ) / u , and lim sup u \u2192 - \u221e f ( x , u ) / u \u221e , where \u03bc 1 \u03bc 2 \u2a7d \u03bc 3 \u2a7d \u22ef are eigenvalues of - \u0394 with 0-Dirichlet boundary condition on \u03a9 counting with their multiplicity." }, { "paper": "2963884005", "venue": "158241587", "year": "2005", "title": "existence and regularity for an energy maximization problem in two dimensions", "label": [ "28826006", "83774755", "158622935", "174558057", "119047807", "51544822", "110121322", "63036615" ], "author": [ "740452667", "672652585" ], "reference": [ "1481997517", "1522699118", "1562723252", "2011711949", "2018529115", "2062565740", "2136003379", "2156985042" ], "abstract": "we consider the variational problem of maximizing the weighted equilibrium green s energy of a distribution of charges free to move in a subset of the upper half plane under a particular external field we show that this problem admits a solution and that under some conditions this solution is an s curve in the sense of gonchar rakhmanov the above problem appears in the theory of the semiclassical limit of the integrable focusing nonlinear schrodinger equation in particular its solution provides a justification of a crucial step in the asymptotic theory of nonlinear steepest descent for the inverse scattering problem of the associated linear non self adjoint zakharov shabat operator and the equivalent riemann hilbert factorization problem", "title_raw": "Existence and regularity for an energy maximization problem in two dimensions", "abstract_raw": "We consider the variational problem of maximizing the weighted equilibrium Green\u2019s energy of a distribution of charges free to move in a subset of the upper half-plane, under a particular external field. We show that this problem admits a solution and that, under some conditions, this solution is an S-curve (in the sense of Gonchar-Rakhmanov). The above problem appears in the theory of the semiclassical limit of the integrable focusing nonlinear Schrodinger equation. In particular, its solution provides a justification of a crucial step in the asymptotic theory of nonlinear steepest descent for the inverse scattering problem of the associated linear non-self-adjoint Zakharov-Shabat operator and the equivalent Riemann-Hilbert factorization problem." }, { "paper": "2045872612", "venue": "189344224", "year": "2005", "title": "transient wave propagation of isotropic plates using a higher order plate theory", "label": [ "16826683", "2524010" ], "author": [ "2475082911", "2130761703" ], "reference": [ "16124075", "1540935623", "1547781576", "1551814932", "1567172441", "1579900883", "1650161607", "1658864984", "1910841838", "1966198251", "1968065960", "1974261528", "1984749989", "2043790876", "2066006217", "2083525587", "2121642352", "2141852212", "2261621682", "2266285536", "2565897519", "3099726494" ], "abstract": "abstract transient wave propagation of isotropic thin plates using a higher order plate theory is presented in this paper the aim of this investigation is to assess the applicability of the higher order plate theory in describing wave behavior of isotropic plates at higher frequencies both extensional and flexural waves are considered a complete discussion of dispersion of isotropic plates is first investigated all the wave modes and wave behavior for each mode in the low and high frequency ranges are provided in detail using the dispersion relation and integral transforms exact integral solutions for an isotropic plate subjected to pure impulse load and a number of wave excitations based on the higher order theory are obtained and asymptotic solutions which highlight the physics of waves are also presented the axisymmetric three dimensional analytical solutions of linear wave equations are also presented for comparison results show that the higher order theory can predict the wave behavior closely with exact linear wave solutions at higher frequencies", "title_raw": "Transient wave propagation of isotropic plates using a higher-order plate theory", "abstract_raw": "Abstract Transient wave propagation of isotropic thin plates using a higher-order plate theory is presented in this paper. The aim of this investigation is to assess the applicability of the higher-order plate theory in describing wave behavior of isotropic plates at higher frequencies. Both extensional and flexural waves are considered. A complete discussion of dispersion of isotropic plates is first investigated. All the wave modes and wave behavior for each mode in the low and high-frequency ranges are provided in detail. Using the dispersion relation and integral transforms, exact integral solutions for an isotropic plate subjected to pure impulse load and a number of wave excitations based on the higher-order theory are obtained and asymptotic solutions which highlight the physics of waves are also presented. The axisymmetric three-dimensional analytical solutions of linear wave equations are also presented for comparison. Results show that the higher-order theory can predict the wave behavior closely with exact linear wave solutions at higher frequencies." }, { "paper": "2085676736", "venue": "53336109", "year": "2005", "title": "analysis of eigenvalues and modal interaction of stochastic systems", "label": [ "197055811", "19499675", "158693339", "76969082", "33577790", "158946198", "197656079", "28826006", "104286136" ], "author": [ "2128369642", "2113021444", "2027406186" ], "reference": [ "1538934584", "1677855016", "1990568935", "1999820269", "2001136571", "2004515370", "2010737928", "2024477167", "2064249424", "2075117203", "2076812192", "2086759073", "2092752088", "2125102861", "2126955722", "2134400038", "2138395440", "2321957512", "2332771484", "2494170028" ], "abstract": "an eigenvalue spectral analysis of stochastic engineering systems is presented a comparative numerical study between approximations based on monte carlo sampling a taylor series based perturbation approach and the polynomial chaos representation is conducted it is observed that the polynomial chaos representation gives more accurate estimates of the statistical moments than the perturbation method especially for the higher modes the differences of accuracy in the two methods are more pronounced as the system variability increases moreover the chaos expansion gives a more detailed probabilistic description of the eigenvalues and the eigenvectors in addition a method for representing the statistical modal overlapping is presented that characterizes the statistical interaction between the various modes", "title_raw": "Analysis of Eigenvalues and Modal Interaction of Stochastic Systems", "abstract_raw": "An eigenvalue spectral analysis of stochastic engineering systems is presented. A comparative numerical study between approximations based on Monte Carlo sampling, a Taylor series-based perturbation approach, and the polynomial chaos representation is conducted. It is observed that the polynomial chaos representation gives more accurate estimates of the statistical moments than the perturbation method, especially for the higher modes. The differences of accuracy in the two methods are more pronounced as the system variability increases. Moreover, the chaos expansion gives a more detailed probabilistic description of the eigenvalues and the eigenvectors. In addition, a method for representing the statistical modal overlapping is presented that characterizes the statistical interaction between the various modes." }, { "paper": "2014884866", "venue": "3006183880", "year": "2005", "title": "the persistence of synchronization under environmental noise", "label": [ "65244806", "41949839" ], "author": [ "2095462010", "129948039" ], "reference": [ "193272743", "1275718198", "1802196594", "1967374925", "2009361399", "2066976366", "2070430318", "2161584603", "2169534683", "2562983303" ], "abstract": "it is shown that the synchronization of dissipative systems persists when they are disturbed by additive noise no matter how large the intensity of the noise provided asymptotically stable stationary stochastic solutions are used instead of asymptotically stable equilibria", "title_raw": "The persistence of synchronization under environmental noise", "abstract_raw": "It is shown that the synchronization of dissipative systems persists when they are disturbed by additive noise, no matter how large the intensity of the noise, provided asymptotically stable stationary-stochastic solutions are used instead of asymptotically stable equilibria." }, { "paper": "2064305253", "venue": "35412551", "year": "2005", "title": "noise induced instability an approach based on higher order moments", "label": [ "207821765", "65244806", "114170632", "2777423538", "143170015" ], "author": [ "2131067318", "2097857719", "2162223356" ], "reference": [ "1985420617", "1995816382", "1998471673", "2000883601", "2015584886", "2045492943", "2052398636", "2060689929", "2064207325", "2066253104", "2072700524", "2074474356", "2084741213", "2087830026", "2092486871", "2115619606", "2132511319", "3004685718", "3022165290" ], "abstract": "noise induced transitions in the organization of systems far from equilibrium have been of vital interest although the effects of additive and multiplicative noise have been widely studied it is only the multiplicative noise that can be dealt with within the scope of a linear analysis of first moments of the spatiotemporal perturbations by the application of novikov s theorem for the case of additive noise the corresponding straightforward linear analysis of the first moment throws no light on the effect of the noise on stability conditions we propose here a simple approach based on higher order moments to show how additive noise can give rise to noise induced instability in spatially extended systems at times leading to pattern formation our theoretical analysis is corroborated by numerical simulations on two simple one component reaction diffusion systems in two dimensions", "title_raw": "Noise-induced instability: an approach based on higher-order moments.", "abstract_raw": "Noise-induced transitions in the organization of systems far from equilibrium have been of vital interest. Although the effects of additive and multiplicative noise have been widely studied, it is only the multiplicative noise that can be dealt with within the scope of a linear analysis of first moments of the spatiotemporal perturbations, by the application of Novikov's theorem. For the case of additive noise, the corresponding straightforward linear analysis of the first moment throws no light on the effect of the noise on stability conditions. We propose here a simple approach based on higher-order moments to show how additive noise can give rise to noise-induced instability in spatially extended systems, at times leading to pattern formation. Our theoretical analysis is corroborated by numerical simulations on two simple one-component reaction-diffusion systems in two dimensions." }, { "paper": "2010052206", "venue": "122441808", "year": "2005", "title": "interpolating varieties for entire functions of minimal type", "label": [ "166399067", "6128204", "202444582", "126794175" ], "author": [ "2143894710" ], "reference": [ "60338502", "194760872", "396533455", "1490331748", "1495816550", "1537588030", "1593679773", "1595441304", "1942652325", "1969898590", "2002654492", "2012102219", "2016502367", "2020150158", "2024888233", "2054777593", "2060567834", "2078393448", "2330156593", "2333429389", "2335221366", "2599931468" ], "abstract": "abstract we obtain both necessary and sufficient conditions for a discrete variety in c n to be an interpolating variety for entire functions of minimal type", "title_raw": "Interpolating varieties for entire functions of minimal type", "abstract_raw": "Abstract We obtain both necessary and sufficient conditions for a discrete variety in C n to be an interpolating variety for entire functions of minimal type." }, { "paper": "1994982901", "venue": "50372074", "year": "2005", "title": "controlling hyperchaos in the new hyperchaotic chen system", "label": [ "92047909", "98644592", "500300565", "158622935", "176321772", "58442840", "198343119", "65244806" ], "author": [ "2258183282" ], "reference": [ "1975691658", "1976519394", "1987065579", "2016687798", "2020427565", "2031668778", "2053887434", "2068551947", "2069436097", "2081023930", "2085503526", "2134100806" ], "abstract": "in this paper we investigate the new hyperchaotic chen system which was present recently by introducing a feedback controller to the chen system the linear speed nonlinear doubly periodic function and nonlinear hyperbolic function feedback controls are used to suppress hyperchaos to unstable equilibrium the routh hurwitz theorem is used to derive the conditions of stability of controlled hyperchaotic chen systems moreover numerical simulations are used to verify the effectiveness of the proposed controllers", "title_raw": "Controlling hyperchaos in the new hyperchaotic Chen system", "abstract_raw": "In this paper, we investigate the new hyperchaotic Chen system, which was present recently by introducing a feedback controller to the Chen system. The linear, speed, nonlinear doubly-periodic function and nonlinear hyperbolic function feedback controls are used to suppress hyperchaos to unstable equilibrium. The Routh-Hurwitz theorem is used to derive the conditions of stability of controlled hyperchaotic Chen systems. Moreover numerical simulations are used to verify the effectiveness of the proposed controllers." }, { "paper": "2085514328", "venue": "165473669", "year": "2005", "title": "connection between orthogonal polynomials on the unit circle and bounded interval", "label": [ "114614502", "202444582", "52537462", "10628310", "48490523", "43176163", "21736991", "78540521", "61349858", "2776477235" ], "author": [ "2012665142", "2097212351", "2888269123" ], "reference": [ "1966268321", "2053373366", "2066588946", "2116935948", "2942052792", "3038165843", "3040091676", "3040464464" ], "abstract": "in this paper we establish the connection between measures on a bounded interval and on the unit circle by a transformation related with the szego classical transformation we transform a measure on the interval 1 1 into a measure on 0 2 in the same form in which the orthogonality measure of the chebyshev polynomials of fourth kind becomes the lebesgue measure we relate the sequences of orthogonal polynomials with respect to both measures and we also relate the coefficients of the three term recurrence relation with the schur parameters when the measures belong to the szego class we study the asymptotic behavior of the orthogonal polynomials on the interval outside the support of the measure as well as inside we also transform the generalized polynomials and we study the orthogonality properties of the new polynomials obtaining new interesting results and finally we solve two inverse problems connected with the transformation studied", "title_raw": "Connection between orthogonal polynomials on the unit circle and bounded interval", "abstract_raw": "In this paper we establish the connection between measures on a bounded interval and on the unit circle by a transformation related with the Szego classical transformation. We transform a measure on the interval [-1, 1] into a measure on [0,2\u03c0] in the same form in which the orthogonality measure of the Chebyshev polynomials of fourth kind becomes the Lebesgue measure. We relate the sequences of orthogonal polynomials with respect to both measures and we also relate the coefficients of the three-term recurrence relation with the Schur parameters. When the measures belong to the Szego class, we study the asymptotic behavior of the orthogonal polynomials on the interval, outside the support of the measure, as well as inside.We also transform the generalized polynomials and we study the orthogonality properties of the new polynomials, obtaining new interesting results, and finally we solve two inverse problems connected with the transformation studied." }, { "paper": "2035028472", "venue": "184147796", "year": "2005", "title": "elementary abelian hopf galois structures and polynomial formal groups", "label": [ "123450019", "67536143", "145899342", "35435516", "57637645", "114614502", "26204071", "182349385", "197968787" ], "author": [ "2167818863" ], "reference": [ "1540115654", "1968629545", "1984913327", "1989037175", "1998849218", "2056454133", "2153580618", "2158320962" ], "abstract": "abstract we find a relationship between regular embeddings of g an elementary abelian p group of order p n into unipotent upper triangular matrices with entries in f p and commutative dimension n degree 2 polynomial formal groups with nilpotent upper triangular structure matrices we classify the latter when n 3 up to linear isomorphism and use that classification to determine the number of hopf galois structures on a galois extension l k of fields with galois group g elementary abelian of order p 3 we also obtain a lower bound on the number of hopf galois structures on a galois extension l k when the galois group is elementary abelian of order p n", "title_raw": "Elementary abelian Hopf Galois structures and polynomial formal groups", "abstract_raw": "Abstract We find a relationship between regular embeddings of G, an elementary abelian p-group of order p n , into unipotent upper triangular matrices with entries in F p and commutative dimension n degree 2 polynomial formal groups with nilpotent upper triangular structure matrices. We classify the latter when n = 3 up to linear isomorphism, and use that classification to determine the number of Hopf Galois structures on a Galois extension L / K of fields with Galois group G elementary abelian of order p 3 . We also obtain a lower bound on the number of Hopf Galois structures on a Galois extension L / K when the Galois group is elementary abelian of order p n ." }, { "paper": "2000453355", "venue": "11296630", "year": "2005", "title": "the non categorical perception of place assimilated coronal stops", "label": [ "60054898", "2524010" ], "author": [ "2123300566" ], "reference": [], "abstract": "english coronal place assimilation generally produces gradient modification of stop place cues acoustic analyses are presented that show that labial assimilation of coronal stops often produces a distinctive pattern of formant movement hereafter referred to as the coronal step the coronal step is characterized by an initial pattern of f1 f2 and f3 movement consistent with coronal closure followed by a second wave of movement producing formant values at offset that are intermediate between those associated with coronal and labial stops the perceptual consequences of this pattern were examined in categorization and 4i2afc discrimination tasks using a linear t p synthetic vc continuum as well as a continuum displaying a coronal step but produced by manipulating the same acoustic parameters the linear continuum produced data consistent with strong categorical perception while the stepped continuum showed no evidence of categorical perception these results are discussed in the context of a model", "title_raw": "The (non) categorical perception of place assimilated coronal stops", "abstract_raw": "English coronal place assimilation generally produces gradient modification of stop place cues. Acoustic analyses are presented that show that labial assimilation of coronal stops often produces a distinctive pattern of formant movement, hereafter referred to as the coronal step. The coronal step is characterized by an initial pattern of F1, F2, and F3 movement consistent with coronal closure, followed by a second wave of movement producing formant values at offset that are intermediate between those associated with coronal and labial stops. The perceptual consequences of this pattern were examined in categorization and 4I2AFC discrimination tasks using a linear /t/\u2010/p/ synthetic VC continuum, as well as a continuum displaying a coronal step but produced by manipulating the same acoustic parameters. The linear continuum produced data consistent with strong categorical perception, while the stepped continuum showed no evidence of categorical perception. These results are discussed in the context of a model..." }, { "paper": "2126726109", "venue": "70695507", "year": "2005", "title": "on the representation of switched systems with inputs by perturbed control systems", "label": [ "78045399", "79699506", "50341643", "18648836", "70834904", "112972136", "65244806", "17500928", "2776230367" ], "author": [ "2303795754", "2170702281", "2092577353", "2098520996" ], "reference": [ "344362890", "1484739396", "1552094772", "1570973162", "1592648094", "1936925215", "1972945640", "1995063858", "1995156490", "2026892575", "2035506160", "2038513473", "2068090013", "2091869118", "2109600251", "2114057223", "2118741873", "2120666720", "2129231075", "2134078068", "2151136609", "2228195434", "2571200063", "2672050166" ], "abstract": "this paper provides representations of switched systems described by controlled differential inclusions in terms of perturbed control systems the control systems have dynamics given by differential equations and their inputs consist of the original controls together with disturbances that evolve in compact sets their sets of maximal trajectories contain as a dense subset the set of maximal trajectories of the original system several applications to control theory dealing with properties of stability with respect to inputs and of detectability are derived as a consequence of the representation theorem 2004 elsevier ltd all rights reserved", "title_raw": "On the representation of switched systems with inputs by perturbed control systems", "abstract_raw": "This paper provides representations of switched systems described by controlled differential inclusions, in terms of perturbed control systems. The control systems have dynamics given by differential equations, and their inputs consist of the original controls together with disturbances that evolve in compact sets; their sets of maximal trajectories contain, as a dense subset, the set of maximal trajectories of the original system. Several applications to control theory, dealing with properties of stability with respect to inputs and of detectability, are derived as a consequence of the representation theorem. 2004 Elsevier Ltd. All rights reserved." }, { "paper": "2054497727", "venue": "79244937", "year": "2005", "title": "on the geometry of a class of n qubit entanglement monotones", "label": [ "15104154", "105141246", "49209780", "47541637", "132702353", "2524010", "62799726" ], "author": [ "1919619095" ], "reference": [ "1491777397", "1598444264", "1631356911", "1965194554", "1974928788", "1977153464", "1996616239", "1997710075", "2000613550", "2005813528", "2009230628", "2011208902", "2017373958", "2033909248", "2034920898", "2057509048", "2059696973", "2144126354", "2159544977", "2593989580", "3037687804", "3101952545", "3104393222" ], "abstract": "a family of n qubit entanglement monotones invariant under stochastic local operations and classical communication slocc is defined this class of entanglement monotones includes the well known examples of the concurrence the 3 tangle and some of the four five and n qubit slocc invariants introduced recently the construction of these invariants is based on bipartite partitions of the hilbert space in the form with l 2n n l 2n such partitions can be given a nice geometrical interpretation in terms of grassmannians gr l l of l planes in cl that can be realized as the zero locus of quadratic polynomials in the complex projective space of suitable dimension via the plucker embedding the invariants are neatly expressed in terms of the plucker coordinates of the grassmannians", "title_raw": "On the geometry of a class of N-qubit entanglement monotones", "abstract_raw": "A family of N-qubit entanglement monotones invariant under stochastic local operations and classical communication (SLOCC) is defined. This class of entanglement monotones includes the well-known examples of the concurrence, the 3-tangle and some of the four-, five- and N-qubit SLOCC invariants introduced recently. The construction of these invariants is based on bipartite partitions of the Hilbert space in the form with L = 2N\u2212n \u2265 l = 2n. Such partitions can be given a nice geometrical interpretation in terms of Grassmannians Gr(L, l) of l-planes in CL that can be realized as the zero locus of quadratic polynomials in the complex projective space of suitable dimension via the Plucker embedding. The invariants are neatly expressed in terms of the Plucker coordinates of the Grassmannians." }, { "paper": "2071590149", "venue": "70695507", "year": "2005", "title": "optimal control of evolution inclusions", "label": [ "70834904", "118299288", "134306372", "112972136", "2780324716", "91575142", "523394659", "144618667", "176321772" ], "author": [ "55686446" ], "reference": [ "1484590079", "1487326569", "1528796636", "1601960826", "1967128235", "1973664921", "1976930521", "1991358247", "1993573690", "2040741036", "2044710367", "2052536743", "2077017337", "2103284380", "2153562582", "2798574506" ], "abstract": "abstract we develop the method of discrete approximations for studying optimal control problems of the bolza type for evolution systems governed by generally nonconvex differential inclusions in infinite dimensional spaces the results obtained involve well posedness stability of discrete approximations necessary optimality conditions for general discrete time systems and necessary optimality conditions for continuous time inclusions established in the extended euler lagrange form our approach is based on the generalized differential constructions of variational analysis introduced earlier by the author", "title_raw": "Optimal control of evolution inclusions", "abstract_raw": "Abstract We develop the method of discrete approximations for studying optimal control problems of the Bolza type for evolution systems governed by (generally nonconvex) differential inclusions in infinite-dimensional spaces. The results obtained involve well-posedness/stability of discrete approximations, necessary optimality conditions for general discrete-time systems, and necessary optimality conditions for continuous-time inclusions established in the extended Euler\u2013Lagrange form. Our approach is based on the generalized differential constructions of variational analysis introduced earlier by the author." }, { "paper": "2040863448", "venue": "159544283", "year": "2005", "title": "a limit result concerning the qr factorization of banded toeplitz matrices", "label": [ "42355184", "33343441", "60761296", "147710293", "114614502", "188060507", "202444582" ], "author": [ "2066859770" ], "reference": [ "1492552547", "1550150926", "1982482853", "2045463928", "2067594519", "2312497442" ], "abstract": "this note is concerned with the qr factorization of a banded toeplitz matrix of large order and relatively small bandwidth we investigate the asymptotic behavior of the main diagonal entries of the r factor when the matrix dimension goes to infinity", "title_raw": "A limit result concerning the QR factorization of banded Toeplitz matrices", "abstract_raw": "This note is concerned with the QR factorization of a banded Toeplitz matrix of large order and relatively small bandwidth. We investigate the asymptotic behavior of the main diagonal entries of the R factor when the matrix dimension goes to infinity." }, { "paper": "2962939832", "venue": "79244937", "year": "2005", "title": "classification of supersymmetric cft4s indefinite series", "label": [ "9376300", "16171025", "68363185", "29945619", "168310172", "2780990831", "202444582", "54613284", "133776654" ], "author": [ "3101057622", "3104108156", "2397586826" ], "reference": [ "431355856", "598970037", "1642629289", "1974558537", "1980314653", "1994544882", "2028119221", "2050859143", "2057305625", "2070398095", "2074605073", "2080034364", "2128221022", "2166248051", "3099223135", "3099325045" ], "abstract": "using geometric engineering method of 4d n 2 quiver gauge theories and results on the classification of kac moody km algebras we show on explicit examples that there exist three sectors of n 2 infrared cft4s since the geometric engineering of these cft4s involve type ii strings on k3 fibered cy3 singularities we conjecture the existence of three kinds of singular complex surfaces containing in addition to the two standard classes a third indefinite set to illustrate this hypothesis we give explicit examples of k3 surfaces with h 4 and e10 hyperbolic singularities we also derive a hierarchy of indefinite complex algebraic geometries based on affinear and t p q r algebras going beyond the hyperbolic subset such hierarchical surfaces have a remarkable signature that is manifested by the presence of poles", "title_raw": "Classification of supersymmetric CFT4s: indefinite series", "abstract_raw": "Using geometric engineering method of 4D N = 2 quiver gauge theories and results on the classification of Kac-Moody (KM) algebras, we show on explicit examples that there exist three sectors of N = 2 infrared CFT4s. Since the geometric engineering of these CFT4s involve type II strings on K3 fibered CY3 singularities, we conjecture the existence of three kinds of singular complex surfaces containing, in addition to the two standard classes, a third indefinite set. To illustrate this hypothesis, we give explicit examples of K3 surfaces with H 4 and E10 hyperbolic singularities. We also derive a hierarchy of indefinite complex algebraic geometries based on affineAr and T(p,q,r) algebras going beyond the hyperbolic subset. Such hierarchical surfaces have a remarkable signature that is manifested by the presence of poles." }, { "paper": "2168078845", "venue": "4502562", "year": "2005", "title": "universal denoising for the finite input general output channel", "label": [ "156996364", "11413529", "52622258", "28855332", "37724570", "58442840" ], "author": [ "2118742884", "2009083270" ], "reference": [ "1564947197", "2056919299", "2125921909", "2128978199", "2137154577", "2159576684", "2180151937", "2294584261", "2566031432" ], "abstract": "we consider the problem of reconstructing a finite alphabet signal corrupted by a known memoryless channel with a general output alphabet the goodness of the reconstruction is measured by a given loss function we constructively establish the existence of a universal sequence of denoiser s attaining asymptotically the optimum distribution dependent performance for any stationary source that may be generating the noiseless signal we show in fact that there is a whole family of denoiser sequences with this property these schemes are shown to be universal also in a semistochastic setting where the only randomness assumed is that associated with the channel noise the scheme is practical requiring o n sup 1 spl epsiv operations for any spl epsiv 0 and working storage size sublinear in the input data length this extends recent work that presented a discrete universal denoiser for recovering a discrete source corrupted by a discrete memoryless channel dmc", "title_raw": "Universal denoising for the finite-input general-output channel", "abstract_raw": "We consider the problem of reconstructing a finite-alphabet signal corrupted by a known memoryless channel with a general output alphabet. The goodness of the reconstruction is measured by a given loss function. We (constructively) establish the existence of a universal (sequence of) denoiser(s) attaining asymptotically the optimum distribution-dependent performance for any stationary source that may be generating the noiseless signal. We show, in fact, that there is a whole family of denoiser sequences with this property. These schemes are shown to be universal also in a semistochastic setting, where the only randomness assumed is that associated with the channel noise. The scheme is practical, requiring O(n/sup 1+/spl epsiv//) operations (for any /spl epsiv/>0) and working storage size sublinear in the input data length. This extends recent work that presented a discrete universal denoiser for recovering a discrete source corrupted by a discrete memoryless channel (DMC)." }, { "paper": "2159683248", "venue": "169411308", "year": "2005", "title": "knowledge discovery by a neuro fuzzy modeling framework", "label": [ "17212007", "29470771", "2780049643", "195975749" ], "author": [ "2140191242", "1897537260", "2126675682", "150492386" ], "reference": [ "80947015", "99886774", "223746243", "1483263499", "1500658267", "1518805845", "1536559965", "1554663460", "1871485493", "1912372140", "1922817940", "1927778606", "1973724320", "2012359666", "2012612681", "2019207321", "2019606348", "2020822564", "2050288270", "2066783997", "2076118331", "2080599805", "2085629944", "2096507750", "2097225284", "2100371246", "2103499201", "2120664295", "2121594306", "2123393128", "2126551622", "2139182924", "2139585733", "2142128127", "2156060469", "2158962111", "2159265133", "2162316540", "2162450741", "2164679752", "2165228196", "2168807180", "2168993425", "2460033271", "2788562133" ], "abstract": "in this paper a neuro fuzzy modeling framework is proposed which is devoted to discover knowledge from data and represent it in the form of fuzzy rules the core of the framework is a knowledge extraction procedure that is aimed to identify the structure and the parameters of a fuzzy rule base through a two phase learning of a neuro fuzzy network in order to obtain reliable and readable knowledge two further stages are integrated with the knowledge extraction procedure a pre processing stage performing variable selection on the available data to obtain simpler and more reliable fuzzy rules and a post processing stage that granulates outputs of the extracted fuzzy rules so as to provide a validity range of estimated outputs moreover the framework can address complex multi input multi output problems in such case two distinct modeling strategies can be followed with the opportunity of producing both a single mimo model or a collection of miso models the proposed framework is verified on a real world case study involving prediction of chemical composition of ashes produced by combustion processes carried out in thermo electric generators located in italy", "title_raw": "Knowledge discovery by a neuro-fuzzy modeling framework", "abstract_raw": "In this paper a neuro-fuzzy modeling framework is proposed, which is devoted to discover knowledge from data and represent it in the form of fuzzy rules. The core of the framework is a knowledge extraction procedure that is aimed to identify the structure and the parameters of a fuzzy rule base, through a two-phase learning of a neuro-fuzzy network. In order to obtain reliable and readable knowledge, two further stages are integrated with the knowledge extraction procedure: a pre-processing stage, performing variable selection on the available data to obtain simpler and more reliable fuzzy rules, and a post-processing stage, that granulates outputs of the extracted fuzzy rules so as to provide a validity range of estimated outputs. Moreover, the framework can address complex multi-input multi-output problems. In such case, two distinct modeling strategies can be followed with the opportunity of producing both a single MIMO model or a collection of MISO models. The proposed framework is verified on a real-world case study, involving prediction of chemical composition of ashes produced by combustion processes carried out in thermo-electric generators located in Italy." }, { "paper": "2047623457", "venue": "50372074", "year": "2005", "title": "analytic and approximate solutions of the space and time fractional telegraph equations", "label": [ "118299288", "154249771", "78045399", "120317633", "2778258933", "48753275", "121152540", "134306372" ], "author": [ "1975261246" ], "reference": [ "171286733", "1528987510", "1550268283", "1553338987", "1560556759", "1993404721", "1997290136", "1998214447", "2021967585", "2045427343", "2069521089", "2080310365", "2084535841", "2125366357", "2134837756", "2787959293" ], "abstract": "the adomian decomposition method is used to obtain analytic and approximate solutions of the space and time fractional telegraph equations the space and time fractional derivatives are considered in the caputo sense the analytic solutions are calculated in the form of series with easily computable terms some examples are given the results reveal that the adomian method is very effective and convenient", "title_raw": "Analytic and approximate solutions of the space- and time-fractional telegraph equations", "abstract_raw": "The Adomian decomposition method is used to obtain analytic and approximate solutions of the space-and time-fractional telegraph equations. The space- and time-fractional derivatives are considered in the Caputo sense. The analytic solutions are calculated in the form of series with easily computable terms. Some examples are given. The results reveal that the Adomian method is very effective and convenient." }, { "paper": "2009787356", "venue": "148709879", "year": "2005", "title": "optimized periodic 1 r coulomb potential in two dimensions", "label": [ "55259147", "134306372", "112675119", "182310444", "89957378", "73586568" ], "author": [ "2115156882", "969626602" ], "reference": [ "1988027329", "2000382842", "2001676859", "2002506550", "2034180189", "2041902442", "2099098882", "2104841748", "2120062331", "2801179766" ], "abstract": "the 1 r coulomb potential is calculated for a two dimensional system with periodic boundary conditions using polynomial splines in real space and a summation in reciprocal space we obtain numerically optimized potentials which allow us efficient calculations of any periodic long ranged potential up to high precision we discuss the parameter space of the optimized potential for the periodic coulomb potential compared to the analytic ewald potential the optimized potentials can reach higher precisions by up to several orders of magnitude at comparable computational cost we explicitly give simple expressions for fast calculations of the periodic coulomb potential where the summation in reciprocal space is reduced to a few terms", "title_raw": "Optimized periodic 1/r Coulomb potential in two dimensions", "abstract_raw": "The 1/r Coulomb potential is calculated for a two dimensional system with periodic boundary conditions. Using polynomial splines in real space and a summation in reciprocal space we obtain numerically optimized potentials which allow us efficient calculations of any periodic (long-ranged) potential up to high precision. We discuss the parameter space of the optimized potential for the periodic Coulomb potential. Compared to the analytic Ewald potential, the optimized potentials can reach higher precisions by up to several orders of magnitude at comparable computational cost. We explicitly give simple expressions for fast calculations of the periodic Coulomb potential where the summation in reciprocal space is reduced to a few terms." }, { "paper": "2088083243", "venue": "50372074", "year": "2005", "title": "a group key agreement protocol from pairings", "label": [ "135530808", "2777513581", "156562277", "2777570545", "95059368", "118615104" ], "author": [ "712243336", "2138343463" ], "reference": [ "25261110", "1495266644", "1532836984", "1643928249", "1798695550", "2015453719", "2049088527", "2057440455", "2094556471", "2098996144", "2111310412", "2112914778", "2131123432", "2152924492", "2156186849", "2397835572", "2949956796", "3032403582" ], "abstract": "abstract we propose an n round key agreement protocol for any n participants where 3 n 1 n 3 n using the tripartite joux key agreement protocol from pairings in combination with a divide and conquer strategy the security of this protocol is based on the hardness of the bilinear diffie hellman problem and the computational diffie hellman problem", "title_raw": "A group key agreement protocol from pairings", "abstract_raw": "Abstract We propose an n -round key agreement protocol for any N -participants, where 3 n \u22121 N \u00a0\u2a7d\u00a03 n , using the tripartite Joux key agreement protocol from pairings in combination with a divide-and-conquer strategy. The security of this protocol is based on the hardness of the bilinear Diffie\u2013Hellman problem and the computational Diffie\u2013Hellman problem." }, { "paper": "1996716795", "venue": "100601982", "year": "2005", "title": "a monomial basis for the virasoro minimal series m p p the case 1 p p 2", "label": [ "202444582", "51568863", "118615104", "155765329", "11252640", "198252154", "46132437", "121152540", "5475112", "54613284" ], "author": [ "2055411776", "2777517156", "2140903486", "2650187047", "2477821739" ], "reference": [ "110323563", "1520510487", "1534518144", "1573845583", "1730487707", "1975171525", "1980139645", "2013664264", "2030200172", "2031664537", "2037658453", "2080966527", "2160288246", "2278590214", "2313591210", "2747614876", "2964135980", "3125312692" ], "abstract": "quadratic relations are given explicitly in two cases of chiral conformal field theory and monomial bases of the representation spaces are constructed by using the fourier components of the intertwiners the first case is the 2 1 primary fields for the p p minimal series m r s 1 r p 1 1 s p 1 for the virasoro algebra where 1 p p 2 we restrict ourselves to the case p 3 for which the 2 1 primary field exists the second case is the intertwiners corresponding to the two dimensional representation for the level k integrable highest weight modules v 0 k for the affine lie algebra open image in new window", "title_raw": "A monomial basis for the Virasoro minimal series $M(p,p')$: the case $1