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711.0508 | A Schur Complement Approach to Chiral Fermions | Lattice chiral fermions are synonymous to the Ginsparg-Wilson relation.
Indeed, this relation is satisfied by the overlap, domain wall and perfect
action fermion kernel.
In a recent work we have shown that it is possible to take a direct RG
approach for fermions in the presence of gauge fields. This is due to an
algebraically implicit blocking technique which yields a Schur-complementary
coarse Dirac operator. Using a Schur complement approximation which is stable
and regular, the scheme can be iterated to the fixed point.
In this talk, we elaborate more on the direct RG approach and show how to get
highly improved chiral fermions on the coarse lattice with the gauge fields
remaining on the fine lattice. We give numerical examples in the case of
lattice QCD using QCDLAB {\tt http://phys.fshn.edu.al/qcdlab.html}
| hep-lat | lattice chiral fermions are synonymous to the ginspargwilson relation indeed this relation is satisfied by the overlap domain wall and perfect action fermion kernel in a recent work we have shown that it is possible to take a direct rg approach for fermions in the presence of gauge fields this is due to an algebraically implicit blocking technique which yields a schurcomplementary coarse dirac operator using a schur complement approximation which is stable and regular the scheme can be iterated to the fixed point in this talk we elaborate more on the direct rg approach and show how to get highly improved chiral fermions on the coarse lattice with the gauge fields remaining on the fine lattice we give numerical examples in the case of lattice qcd using qcdlab tt httpphysfshnedualqcdlabhtml | [['lattice', 'chiral', 'fermions', 'are', 'synonymous', 'to', 'the', 'ginspargwilson', 'relation', 'indeed', 'this', 'relation', 'is', 'satisfied', 'by', 'the', 'overlap', 'domain', 'wall', 'and', 'perfect', 'action', 'fermion', 'kernel', 'in', 'a', 'recent', 'work', 'we', 'have', 'shown', 'that', 'it', 'is', 'possible', 'to', 'take', 'a', 'direct', 'rg', 'approach', 'for', 'fermions', 'in', 'the', 'presence', 'of', 'gauge', 'fields', 'this', 'is', 'due', 'to', 'an', 'algebraically', 'implicit', 'blocking', 'technique', 'which', 'yields', 'a', 'schurcomplementary', 'coarse', 'dirac', 'operator', 'using', 'a', 'schur', 'complement', 'approximation', 'which', 'is', 'stable', 'and', 'regular', 'the', 'scheme', 'can', 'be', 'iterated', 'to', 'the', 'fixed', 'point', 'in', 'this', 'talk', 'we', 'elaborate', 'more', 'on', 'the', 'direct', 'rg', 'approach', 'and', 'show', 'how', 'to', 'get', 'highly', 'improved', 'chiral', 'fermions', 'on', 'the', 'coarse', 'lattice', 'with', 'the', 'gauge', 'fields', 'remaining', 'on', 'the', 'fine', 'lattice', 'we', 'give', 'numerical', 'examples', 'in', 'the', 'case', 'of', 'lattice', 'qcd', 'using', 'qcdlab', 'tt', 'httpphysfshnedualqcdlabhtml']] | [-0.1368427659337979, 0.1668460029485327, -0.12982456949214602, 0.06126419683402159, -0.1194544272955738, -0.12459961133431499, 0.07393546660011996, 0.4168592163816441, -0.23681354324528298, -0.2189066285888354, 0.07992530798236298, -0.23821446977649607, -0.16525690988168235, 0.1307216985728736, -0.029466038938005302, 0.03281256102400926, 0.06085611065459806, 0.0487740503375007, -0.08814871763718467, -0.2955841486515521, 0.3372419033805991, 0.024111050610654345, 0.2613934701193095, 0.10758074668106125, 0.07326145937969518, -0.0016795287789531457, -0.0224488512973857, 0.021879278318306734, -0.10598816798013759, 0.10874976875989648, 0.20256420039723433, 0.0025129829851058562, 0.17606168425129365, -0.40088635284540264, -0.1972129943116402, 0.07004460236490813, 0.1565294018802197, 0.14749872550736506, -0.041633559407710546, -0.28249342483107376, 0.12122330490983445, -0.1788880089081304, -0.13404066312170132, -0.13287198217224705, -0.050502168507380193, -0.06525208835684976, -0.2942489616414027, 0.058152429952625505, 0.049414220940170075, 0.06682235129942843, 0.014296872201989325, -0.09290576193034071, -0.014566828633925711, 0.07143497369216048, 0.056303271615892186, 0.07236367048219193, 0.06731431474620404, -0.134037313955771, -0.11573650308184383, 0.43382917337350607, -0.0619143248109739, -0.25801095301501975, 0.18509503962226617, -0.11052052169819832, -0.11824843908710651, 0.09815601739750872, 0.11097916589992106, 0.11930707355874569, -0.12506771982149328, 0.15434855549612495, -0.11298641646208689, 0.1437688096096584, 0.05240238287302601, 0.006569366039376157, 0.18970225158674542, 0.11989675206312722, 0.10105977425091835, 0.11583908157000794, -0.0033023768734518986, -0.12755427909735229, -0.3122128216304289, -0.14554372562868015, -0.19382791600529423, 0.07134356833507069, -0.0893573671013754, -0.17887184785587837, 0.37814230048972475, 0.1759289457623363, 0.1862635589601804, 0.02941555571706258, 0.25918945712181773, 0.14325191353830372, 0.08213719496026982, 0.031572801501367445, 0.2015422844804477, 0.12792444176242737, 0.073945213787893, -0.25298447878092756, -0.0889596390969286, 0.1871642033793321] |
711.0509 | Comparing Pure Yang-Mills SU(2) and SU(3) Propagators | The infrared behavior of gluon and ghost propagators in Yang-Mills gauge
theories is of central importance for the understanding of confinement in QCD.
While analytic studies using Schwinger-Dyson equations predict the same
infrared exponents for the SU(2) and SU(3) gauge groups, lattice simulations
usually assume that the two cases are different, although their qualitative
infrared features may be the same. We carry out a comparative study of lattice
(Landau) propagators for both gauge groups. Our data were especially produced
with equivalent lattice parameters to allow a careful comparison of the two
cases.
| hep-lat | the infrared behavior of gluon and ghost propagators in yangmills gauge theories is of central importance for the understanding of confinement in qcd while analytic studies using schwingerdyson equations predict the same infrared exponents for the su2 and su3 gauge groups lattice simulations usually assume that the two cases are different although their qualitative infrared features may be the same we carry out a comparative study of lattice landau propagators for both gauge groups our data were especially produced with equivalent lattice parameters to allow a careful comparison of the two cases | [['the', 'infrared', 'behavior', 'of', 'gluon', 'and', 'ghost', 'propagators', 'in', 'yangmills', 'gauge', 'theories', 'is', 'of', 'central', 'importance', 'for', 'the', 'understanding', 'of', 'confinement', 'in', 'qcd', 'while', 'analytic', 'studies', 'using', 'schwingerdyson', 'equations', 'predict', 'the', 'same', 'infrared', 'exponents', 'for', 'the', 'su2', 'and', 'su3', 'gauge', 'groups', 'lattice', 'simulations', 'usually', 'assume', 'that', 'the', 'two', 'cases', 'are', 'different', 'although', 'their', 'qualitative', 'infrared', 'features', 'may', 'be', 'the', 'same', 'we', 'carry', 'out', 'a', 'comparative', 'study', 'of', 'lattice', 'landau', 'propagators', 'for', 'both', 'gauge', 'groups', 'our', 'data', 'were', 'especially', 'produced', 'with', 'equivalent', 'lattice', 'parameters', 'to', 'allow', 'a', 'careful', 'comparison', 'of', 'the', 'two', 'cases']] | [-0.1075714077172882, 0.17764203862853997, -0.1610633230049406, 0.1231768406863051, -0.07220773095943277, -0.0921973438842384, 0.026825678534805775, 0.4180905392517477, -0.13064793846569955, -0.22839920570486752, 0.08662528894163425, -0.2843510985283343, -0.11409334587338178, 0.11973453110903906, 0.037514118103148496, 0.06063603622960332, 0.06568468210626514, 0.01034571196752317, -0.09458606711173755, -0.26695202637220855, 0.32988178849969385, -0.00199060147607942, 0.2996179052102177, 0.06658827910280746, 0.0414465694781899, 0.012765542111162136, -0.0901172703496464, 0.00747644657084216, -0.09451295084956814, 0.058060631186336926, 0.24731232131497285, -0.02547433879226446, 0.1890060415392762, -0.41782192823112657, -0.24613484069097624, 0.06496578150773016, 0.17674919477481718, 0.12404012139228618, -0.021016583459087364, -0.24361570227040868, 0.07330650341843822, -0.11736377888440114, -0.14233026027827494, -0.12179833379290674, -0.06739063487570408, -0.014971754235929162, -0.2867358310461935, 0.06122002392341686, -0.055411243129840485, 0.12172908818794657, -0.05757181354514931, -0.16135276266014326, -0.07818184863603876, 0.16205682215893277, 0.10812704729260472, 0.024421454781828368, 0.12004697169480927, -0.24452145181029386, -0.14100470954714261, 0.44967162143439054, -0.02362586347558333, -0.19751475512495506, 0.21005944835538368, -0.1677370290980553, -0.1910160703726275, 0.12332591849237519, 0.09419799304020632, 0.12319617513972132, -0.1698371734490375, 0.1388411041812303, -0.060769372414696314, 0.14736972434405723, 0.07216060050742944, 0.07375194527127821, 0.23256539332720896, 0.09003426605562234, -0.04519424273419882, 0.12742407068119221, 0.006684519107575002, -0.16948227854648037, -0.36431199271717796, -0.10346219890609222, -0.10331112702134186, 0.06971263325818733, -0.13917132280229175, -0.1434581619333071, 0.37165084011528804, 0.1597059334782661, 0.14176020547798227, 0.03942590928636491, 0.22525850841370615, 0.09976233307742918, 0.08803445061304323, 0.00837950511207885, 0.2610143642953556, 0.14585286545131923, 0.07056505676692999, -0.2898060954024043, -0.12169952197607768, 0.13527402519653348] |
711.051 | On the information completeness of quantum tomograms | We address the problem of information completeness of quantum measuremets in
connection to quantum state tomography and with particular concern to quantum
symplectic tomography. We put forward some non-trivial situations where
informationally incomplete set of tomograms allows as well the state
reconstruction provided to have some a priori information on the state or its
dynamics. We then introduce a measure of information completeness and apply it
to symplectic quantum tomograms.
| quant-ph | we address the problem of information completeness of quantum measuremets in connection to quantum state tomography and with particular concern to quantum symplectic tomography we put forward some nontrivial situations where informationally incomplete set of tomograms allows as well the state reconstruction provided to have some a priori information on the state or its dynamics we then introduce a measure of information completeness and apply it to symplectic quantum tomograms | [['we', 'address', 'the', 'problem', 'of', 'information', 'completeness', 'of', 'quantum', 'measuremets', 'in', 'connection', 'to', 'quantum', 'state', 'tomography', 'and', 'with', 'particular', 'concern', 'to', 'quantum', 'symplectic', 'tomography', 'we', 'put', 'forward', 'some', 'nontrivial', 'situations', 'where', 'informationally', 'incomplete', 'set', 'of', 'tomograms', 'allows', 'as', 'well', 'the', 'state', 'reconstruction', 'provided', 'to', 'have', 'some', 'a', 'priori', 'information', 'on', 'the', 'state', 'or', 'its', 'dynamics', 'we', 'then', 'introduce', 'a', 'measure', 'of', 'information', 'completeness', 'and', 'apply', 'it', 'to', 'symplectic', 'quantum', 'tomograms']] | [-0.07495580193843099, 0.06162877992281447, -0.12022478826532977, 0.10789731486390035, -0.10013265661436363, -0.1584061189028232, 0.08776326459980961, 0.3884498702119226, -0.3085124195971783, -0.2601187772495483, 0.1613449230570805, -0.2902335728001123, -0.12562084375151797, 0.1729519621880752, -0.12144320649837238, 0.1462556894495746, 0.09279625109680321, 0.09658854852929927, -0.11851358097265947, -0.22633183625040817, 0.3958254396861446, 0.02570191730974593, 0.2484947452220418, 0.05118539035860179, 0.15236937835056713, 0.04344515085382306, -0.01300486310493147, 0.01884419206475866, -0.14875596104041283, 0.113291571380746, 0.2826433519198411, 0.21093589533795265, 0.2328833572809463, -0.4436980130123919, -0.2089756865972194, 0.13255538954736962, 0.09347632783127652, 0.16052216750002749, -0.058903107772230345, -0.354736457835289, 0.019838967590012413, -0.14577165802103886, -0.08912409614920076, -0.16691790662867867, -0.02941179596076625, -0.06578592769801617, -0.1931998125290957, 0.06173634439355869, 0.0699336662520722, 0.034631381192636014, -0.03438862070755061, -0.03822709970932076, 0.010944053908621056, 0.16762598391716788, -0.0762226097555696, 0.011265676962954087, 0.08194542738298576, -0.14415513024246995, -0.16252207116939235, 0.3717381919774672, 0.005075142175580065, -0.2944902669692385, 0.15274601437124438, -0.15365692978535872, -0.14572171830450711, 0.06269274456291526, 0.14854377297603566, 0.09261360591736392, -0.11186929324479855, 0.055671862318126514, -0.027732127211124138, 0.14507230935429316, 0.02928235983826976, 0.1559829565939372, 0.1530966555726701, 0.09896359289321455, 0.09501792914639025, 0.16411902991535168, -0.12665066261694807, -0.15086712570105126, -0.3084351277869681, -0.23225363113148056, -0.18304985270336055, 0.1527504554774234, -0.02206679961291493, -0.17887332348449939, 0.3639966788013344, 0.17380164832254683, 0.17625204840863962, -0.004675663822074083, 0.31368337466340995, 0.11118884348716297, -0.04937063876127797, 0.053278577001090496, 0.18823482351718415, 0.24685116328191067, 0.06507543307742562, -0.18333438129933632, 0.0383854234672111, 0.03028380936956492] |
711.0511 | Differential Invariants of SL(2) and SL(3)-ACTIONS on R^2 | The main purpose of this paper is calculation of differential invariants
which arise from prolonged actions of two Lie groups SL(2) and SL(3) on the
$n$th jet space of $R^2$. It is necessary to calculate $n$th prolonged
infenitesimal generators of the action.
| math.DG | the main purpose of this paper is calculation of differential invariants which arise from prolonged actions of two lie groups sl2 and sl3 on the nth jet space of r2 it is necessary to calculate nth prolonged infenitesimal generators of the action | [['the', 'main', 'purpose', 'of', 'this', 'paper', 'is', 'calculation', 'of', 'differential', 'invariants', 'which', 'arise', 'from', 'prolonged', 'actions', 'of', 'two', 'lie', 'groups', 'sl2', 'and', 'sl3', 'on', 'the', 'nth', 'jet', 'space', 'of', 'r2', 'it', 'is', 'necessary', 'to', 'calculate', 'nth', 'prolonged', 'infenitesimal', 'generators', 'of', 'the', 'action']] | [-0.20367544112590755, 0.09372675800468863, -0.08760994538755679, 0.0598831211767591, -0.10169713880594183, -0.08029556015460956, -0.07293212111959825, 0.3017155021519923, -0.28489627034925835, -0.2671807437408261, 0.12731144604523006, -0.23235718154053137, -0.16271539893364761, 0.18946638340187236, -0.12900811624599667, -0.03784202652551779, 0.033628841248772495, 0.13603692421144464, -0.10853714302818222, -0.24468830071117093, 0.3845521629072453, 0.018892774846768233, 0.17732180536883632, -0.005110187240217517, 0.1297049524444269, 0.015361693176645331, -0.062067889040563165, -0.09664332120545867, -0.12925718506661857, 0.15672834303866073, 0.2332399168119925, 0.03249374761177999, 0.1766785541322173, -0.3824160833184312, -0.07999887905742337, 0.1569960431604669, 0.13764444372912005, 0.03855251199168312, 0.05564881148804888, -0.262798648691032, 0.08671212621124053, -0.2433387994221071, -0.14053964403616945, -0.029244908557568745, 0.0663447698532808, -0.02836393932925492, -0.23058996608526242, 0.04438999837559716, 0.05889243809733449, 0.07084980204974006, -0.08230419774971358, -0.04524713441184381, -0.1029196336536055, 0.17782419247598183, 0.09860295019816698, 0.06285974420834242, 0.14765802385830662, -0.0837298884658461, -0.1332792426209624, 0.46202056891307597, -0.031713047405568566, -0.16215768206592013, 0.10978016080675511, -0.22547673444808802, -0.23388408504926214, 0.15499126931606996, 0.14654356004420396, 0.17209818403281998, -0.09980906025938145, 0.14124274526285463, -0.03521055073999777, 0.05643159723499926, 0.04607029304635234, -0.0006039045685788662, 0.1471216421937797, 0.07563124117782204, 0.05095125530369398, 0.14398071044919694, 0.0229324758245905, -0.06374169302331965, -0.4106116745757257, -0.23228278899247326, -0.1148893060844119, 0.12145885275449694, -0.09839558095931042, -0.11941561248812188, 0.4169193093619514, 0.11457288015361239, 0.15994081286168316, 0.07111323066339714, 0.2476144156577747, 0.16335502082890854, 0.09460706047986339, 0.026841082019595112, 0.10612569708467984, 0.20989620490226804, -0.016516040090653227, -0.22808469972209777, -0.029113022008592764, 0.22057180629089113] |
711.0512 | Applications of Thirring Model to Inhomogenous Rolling Tachyon and
Dissipative Quantum Mechanics | We study the rolling tachyon and the dissipative quantum mechanics using the
Thirring model with a boundary mass. We construct a boundary state for the
dissipative quantum system in one dimension, which describes the system at the
off-critical points as well as at the critical point. Then we extend the
Thirring model with a boundary mass in order to depict the time evolution of an
unstable D-branes with one direction wrapped on a circle of radius $R$, which
is termed the inhomogeneous rolling tachyon. The analysis based on the Thirring
model shows that the time dependent evolution of the inhomogeneous tachyon is
possible only when $\frac{2}{\sqrt{3}}< R < 2$.
| hep-th | we study the rolling tachyon and the dissipative quantum mechanics using the thirring model with a boundary mass we construct a boundary state for the dissipative quantum system in one dimension which describes the system at the offcritical points as well as at the critical point then we extend the thirring model with a boundary mass in order to depict the time evolution of an unstable dbranes with one direction wrapped on a circle of radius r which is termed the inhomogeneous rolling tachyon the analysis based on the thirring model shows that the time dependent evolution of the inhomogeneous tachyon is possible only when frac2sqrt3 r 2 | [['we', 'study', 'the', 'rolling', 'tachyon', 'and', 'the', 'dissipative', 'quantum', 'mechanics', 'using', 'the', 'thirring', 'model', 'with', 'a', 'boundary', 'mass', 'we', 'construct', 'a', 'boundary', 'state', 'for', 'the', 'dissipative', 'quantum', 'system', 'in', 'one', 'dimension', 'which', 'describes', 'the', 'system', 'at', 'the', 'offcritical', 'points', 'as', 'well', 'as', 'at', 'the', 'critical', 'point', 'then', 'we', 'extend', 'the', 'thirring', 'model', 'with', 'a', 'boundary', 'mass', 'in', 'order', 'to', 'depict', 'the', 'time', 'evolution', 'of', 'an', 'unstable', 'dbranes', 'with', 'one', 'direction', 'wrapped', 'on', 'a', 'circle', 'of', 'radius', 'r', 'which', 'is', 'termed', 'the', 'inhomogeneous', 'rolling', 'tachyon', 'the', 'analysis', 'based', 'on', 'the', 'thirring', 'model', 'shows', 'that', 'the', 'time', 'dependent', 'evolution', 'of', 'the', 'inhomogeneous', 'tachyon', 'is', 'possible', 'only', 'when', 'frac2sqrt3', 'r', '2']] | [-0.13904417849456271, 0.14444139310607743, -0.11110355452035071, 0.043612897389620126, -0.042340536200855344, -0.17597919473148607, -0.002556148368899745, 0.27699231408122515, -0.22229898113895347, -0.2302421573549509, 0.1316030653585956, -0.2505329101587887, -0.1309366145317283, 0.12073908035893476, -0.01652350895003312, 0.04978798933034004, 0.011846720637684618, 0.11062845012983652, -0.06653630311646136, -0.238787371361266, 0.36739623986175973, 0.025677643947010102, 0.23302107149114212, 0.03669808796365504, 0.11608362886882215, 0.002053640088652847, 0.03448365946058874, 0.006884430194515045, -0.1671709376627809, 0.02627022395393363, 0.13221775415068907, 0.038383002998738515, 0.21067898150930112, -0.3960318863219409, -0.24503468824722976, 0.07676990859693399, 0.15030228379354985, 0.13755932200863888, 0.007848825440170779, -0.28669949151851515, 0.03331344602284608, -0.13932620220024278, -0.20289694429030297, -0.0003222728631010762, 0.020691101989036217, -0.04294122685893887, -0.25785465021100307, 0.09869143361639646, 0.03419966849442399, 0.029342616640928167, -0.10305992869608518, -0.040290487608958585, -0.0718157891619571, 0.07568859021342143, 0.04555438163677334, 0.05590847604347531, 0.1319747271352551, -0.14390525433096896, -0.0746536758357521, 0.38755594628121426, -0.10783156662041114, -0.21834014785148342, 0.19254335413548956, -0.1271218301780108, -0.09543926446888319, 0.06826512498729345, 0.12421242877651283, 0.11964642120680462, -0.12467772309968563, 0.1467749292146268, -0.034344793357713906, 0.15800364783030496, 0.06166340564205139, -0.04159536973693995, 0.2667860039509833, 0.19116888001250723, 0.06748001950930942, 0.1606642914056364, -0.08874559557901833, -0.18741590015782061, -0.3575372821823866, -0.16876751419449984, -0.15776218086075797, 0.07491797785796397, -0.12903793372579794, -0.21953201365519176, 0.39687436584521224, 0.1482900519406906, 0.22966811658504108, 0.05442347885670002, 0.2568464183283073, 0.12447214084979216, 0.03867445824909265, 0.11705423991575285, 0.20212043067267924, 0.12475631679235785, 0.1263187561330765, -0.2751576768544813, -0.07199536969764503, 0.1289988201180542] |
711.0513 | Maximum likelihood estimators and random walks in long memory models | We consider statistical models driven by Gaussian and non-Gaussian
self-similar processes with long memory and we construct maximum likelihood
estimators (MLE) for the drift parameter. Our approach is based on the
approximation by random walks of the driving noise. We study the asymptotic
behavior of the estimators and we give some numerical simulations to illustrate
our results.
| math.ST math.PR stat.TH | we consider statistical models driven by gaussian and nongaussian selfsimilar processes with long memory and we construct maximum likelihood estimators mle for the drift parameter our approach is based on the approximation by random walks of the driving noise we study the asymptotic behavior of the estimators and we give some numerical simulations to illustrate our results | [['we', 'consider', 'statistical', 'models', 'driven', 'by', 'gaussian', 'and', 'nongaussian', 'selfsimilar', 'processes', 'with', 'long', 'memory', 'and', 'we', 'construct', 'maximum', 'likelihood', 'estimators', 'mle', 'for', 'the', 'drift', 'parameter', 'our', 'approach', 'is', 'based', 'on', 'the', 'approximation', 'by', 'random', 'walks', 'of', 'the', 'driving', 'noise', 'we', 'study', 'the', 'asymptotic', 'behavior', 'of', 'the', 'estimators', 'and', 'we', 'give', 'some', 'numerical', 'simulations', 'to', 'illustrate', 'our', 'results']] | [-0.07749201129435708, 0.07800314318094599, -0.12646597166333282, 0.09304766897152979, -0.022940858594027527, -0.13197972362436222, 0.061509607915292704, 0.4104371730957115, -0.22649948468856645, -0.24661630761335818, 0.15142186606923738, -0.26632615770295, -0.20704729841172434, 0.2137834921544581, -0.061809630933822246, 0.12734606146420302, 0.050751638508875645, -0.04458510676366195, -0.047812751004178276, -0.2737842897941734, 0.315303843901411, 0.0827921202831101, 0.2634162215940785, -0.04413942036856162, 0.12972943264206774, -0.01288392168486066, -0.07895717717576445, 0.009660403718028152, -0.2370186564104076, 0.07219771982840541, 0.15021223950960821, 0.10856036818177815, 0.32836134810196727, -0.3819293989881612, -0.24536831450664945, 0.13138604049750588, 0.12702101723723963, 0.1287466491523542, -0.031396264825097955, -0.30578536836005615, 0.0693314605711126, -0.15549040205057776, -0.10821684186853338, -0.14231560269387014, -0.053423938488489704, 0.12257333840815383, -0.35158074532815237, 0.12279170875543761, 0.09582622796950634, 0.026379202950026905, -0.012869356812811211, -0.12389440912132461, 0.07228070790797733, 0.05031678662431149, 0.08719611496525702, -0.08946252636725835, 0.11808036114170886, -0.09320165064970129, -0.15800850080293521, 0.28008341047455343, -0.10380736497443235, -0.2522940099762197, 0.16773659267397434, -0.17106577388027258, -0.12474070247589496, 0.0693576575436613, 0.2101578116580321, 0.10259339079391538, -0.15186498319043926, 0.082702004952201, -0.0069119900857147415, 0.10112266936911303, -0.01794408015057183, -0.01761441416384881, 0.13060937928885483, 0.19328991094146641, 0.05962749806706581, 0.19229186856057168, -0.12224398561949401, -0.1506439329435428, -0.31852503560009626, -0.0804289022068444, -0.22231862563313098, 0.05293355345431911, -0.20813153891567868, -0.22400110382831803, 0.40954803380494315, 0.2696632602856609, 0.1874120678393203, 0.1764150989290915, 0.2887877321295571, 0.18731877425473117, -0.06445615668372627, 0.12465393684575693, 0.17475863395252658, 0.16669862221501636, 0.013906940826002443, -0.20307755324858845, 0.10179136796413284, 0.04520334932430271] |
711.0514 | Reply to Comment on ``Time-dependent quasi-Hermitian Hamiltonians and
the unitary quantum evolution'' | In his fresh "Comment" (arXiv:0711.0137v1), A. Mostafazadeh reacts on my very
recent letter (arXiv:0710.5653v1) where I tried to clarify certain
misunderstandings which occurred in A. M., Phys. Lett. B \textbf{650}, 208
(2007) [arXiv:0706.1872v2, "Paper"]. As long as the "Comment" offers a new
support of the original assertions made in the "Paper", I feel obliged to
re-clarify the matter by extending my argumentation. I insist that it is
possible to escape the main conclusion of the "Paper", indeed. In particular, I
point out a gap in the new calculations in "Comment", add a few remarks on the
notation and reconfirm that the unitarity of the time-evolution DOES NOT
require the time-independence of the metric operator.
| quant-ph | in his fresh comment arxiv07110137v1 a mostafazadeh reacts on my very recent letter arxiv07105653v1 where i tried to clarify certain misunderstandings which occurred in a m phys lett b textbf650 208 2007 arxiv07061872v2 paper as long as the comment offers a new support of the original assertions made in the paper i feel obliged to reclarify the matter by extending my argumentation i insist that it is possible to escape the main conclusion of the paper indeed in particular i point out a gap in the new calculations in comment add a few remarks on the notation and reconfirm that the unitarity of the timeevolution does not require the timeindependence of the metric operator | [['in', 'his', 'fresh', 'comment', 'arxiv07110137v1', 'a', 'mostafazadeh', 'reacts', 'on', 'my', 'very', 'recent', 'letter', 'arxiv07105653v1', 'where', 'i', 'tried', 'to', 'clarify', 'certain', 'misunderstandings', 'which', 'occurred', 'in', 'a', 'm', 'phys', 'lett', 'b', 'textbf650', '208', '2007', 'arxiv07061872v2', 'paper', 'as', 'long', 'as', 'the', 'comment', 'offers', 'a', 'new', 'support', 'of', 'the', 'original', 'assertions', 'made', 'in', 'the', 'paper', 'i', 'feel', 'obliged', 'to', 'reclarify', 'the', 'matter', 'by', 'extending', 'my', 'argumentation', 'i', 'insist', 'that', 'it', 'is', 'possible', 'to', 'escape', 'the', 'main', 'conclusion', 'of', 'the', 'paper', 'indeed', 'in', 'particular', 'i', 'point', 'out', 'a', 'gap', 'in', 'the', 'new', 'calculations', 'in', 'comment', 'add', 'a', 'few', 'remarks', 'on', 'the', 'notation', 'and', 'reconfirm', 'that', 'the', 'unitarity', 'of', 'the', 'timeevolution', 'does', 'not', 'require', 'the', 'timeindependence', 'of', 'the', 'metric', 'operator']] | [-0.09548286808316957, 0.08384451348867335, -0.11262948693170606, 0.016541029634961003, -0.1464799532230507, -0.1446863766130362, 0.11474860267743033, 0.3055054514442344, -0.17610671729487073, -0.2812426721358353, 0.05139661459713704, -0.2769319328169028, -0.1730846850419635, 0.1109778374131467, -0.165594730786308, -0.02762025290143651, 0.05563875322066549, 0.030574486649653933, -0.0878540804522607, -0.29633748428140944, 0.30772028527818285, 0.10798254154354066, 0.20324560608043596, 0.12535686004353133, 0.0378761610639206, 0.0006886963808053249, -0.08913058477143447, -0.03340664430445916, -0.16374012545605404, 0.0837089549330575, 0.21166385134245763, 0.16083750279771314, 0.3152764670567604, -0.44417616036124863, -0.16523019919541101, 0.04420036656010124, 0.10256017691210366, 0.10413920279353152, -0.024279263174698293, -0.29076730432240544, 0.03714624903508806, -0.19058228362989318, -0.1370142301427083, -0.04551235282676177, 0.09668610658630863, -0.029609887258711835, -0.17532459674151363, 0.029523444003824076, 0.14511800779717732, 0.02095782270109405, -0.0048271902073342525, -0.12378768182804321, 0.01703265073566555, 0.03879287127858481, 0.0956741238607703, 0.07864356691202333, 0.08563006844220532, -0.07567337776223819, -0.09488568442605168, 0.38464948044972375, -0.04080399047155436, -0.1368505146841074, 0.18830741850579544, -0.14323829620791315, -0.20634962433869405, 0.03773596618525885, 0.11077488735234281, 0.10992923417539747, -0.14587516385457805, 0.11514246898340397, -0.08531647356885678, 0.15675245454615644, 0.09066116006054857, 0.006291274438603773, 0.21364306297723776, 0.0991013277188858, -0.02344201850025235, 0.04725423168290306, -0.04475051470767908, -0.0852809685228921, -0.38442618152344815, -0.19931545955556873, -0.17323909227123802, 0.09772212720313005, 0.038550544576693185, -0.12562450046623796, 0.37044035587753465, 0.26253714843711873, 0.2340635849699915, -0.003418008586064585, 0.19578497224227265, 0.04176274138116823, 0.018473621646596772, 0.10255622222751111, 0.28335874512590264, 0.1071609101564464, 0.16368153084673592, -0.15980268305436046, 0.01573170287438106, 0.02958613933642974] |
711.0515 | The Thermal Composite Supernova Remnant Kes 27 as Viewed by CHANDRA:
Shock Reflection from a Cavity Wall | We present a spatially resolved spectroscopic study of the thermal composite
supernova remnant Kes 27 with Chandra. The X-ray spectrum of Kes 27 is
characterized by K lines from Mg, Si, S, Ar, and Ca. The X-ray emitting gas is
found to be enriched in sulphur and calcium. The broadband and tri-color images
show two incomplete shell-like features in the northeastern half and brightness
fading with increasing radius in the southwest. There are over 30 unresolved
sources within the remnant. None show characteristics typical of young neutron
stars. The maximum diffuse X-ray intensity coincides with a radio bright region
along the eastern border. In general, gas in the inner region is at higher
temperature and emission is brighter than from the outer region. The gas in the
remnant appears to approach ionization equilibrium. The overall morphology can
be explained by the evolution of the remnant in an ambient medium with a
density enhancement from west to east. We suggest that the remnant was born in
a pre-existing cavity and that the inner bright emission is due to the
reflection of the initial shock from the dense cavity wall. This scenario may
provide a new candidate mechanism for the X-ray morphology of other thermal
composite supernova remnants.
| astro-ph | we present a spatially resolved spectroscopic study of the thermal composite supernova remnant kes 27 with chandra the xray spectrum of kes 27 is characterized by k lines from mg si s ar and ca the xray emitting gas is found to be enriched in sulphur and calcium the broadband and tricolor images show two incomplete shelllike features in the northeastern half and brightness fading with increasing radius in the southwest there are over 30 unresolved sources within the remnant none show characteristics typical of young neutron stars the maximum diffuse xray intensity coincides with a radio bright region along the eastern border in general gas in the inner region is at higher temperature and emission is brighter than from the outer region the gas in the remnant appears to approach ionization equilibrium the overall morphology can be explained by the evolution of the remnant in an ambient medium with a density enhancement from west to east we suggest that the remnant was born in a preexisting cavity and that the inner bright emission is due to the reflection of the initial shock from the dense cavity wall this scenario may provide a new candidate mechanism for the xray morphology of other thermal composite supernova remnants | [['we', 'present', 'a', 'spatially', 'resolved', 'spectroscopic', 'study', 'of', 'the', 'thermal', 'composite', 'supernova', 'remnant', 'kes', '27', 'with', 'chandra', 'the', 'xray', 'spectrum', 'of', 'kes', '27', 'is', 'characterized', 'by', 'k', 'lines', 'from', 'mg', 'si', 's', 'ar', 'and', 'ca', 'the', 'xray', 'emitting', 'gas', 'is', 'found', 'to', 'be', 'enriched', 'in', 'sulphur', 'and', 'calcium', 'the', 'broadband', 'and', 'tricolor', 'images', 'show', 'two', 'incomplete', 'shelllike', 'features', 'in', 'the', 'northeastern', 'half', 'and', 'brightness', 'fading', 'with', 'increasing', 'radius', 'in', 'the', 'southwest', 'there', 'are', 'over', '30', 'unresolved', 'sources', 'within', 'the', 'remnant', 'none', 'show', 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711.0516 | The Mott insulator LaTiO_3 in heterostructures with SrTiO_3 is metallic | It is shown that LaTiO_3 in superlattices with SrTiO_3 is not a Mott
insulator but a strongly correlated metal. The tetragonal lattice geometry
imposed by the SrTiO_3 substrate leads to an increase of the Ti 3d t2g band
width and a reversal of the t2g crystal field relative to the orthorhombic bulk
geometry. Using dynamical mean field theory based on finite-temperature
multi-band exact diagonalization we show that, as a result of these effects,
local Coulomb interactions are not strong enough to induce a Mott transition in
tetragonal LaTiO_3. The metalicity of these heterostructures is therefore not
an interface property but stems from all LaTiO_3 planes.
| cond-mat.str-el | it is shown that latio_3 in superlattices with srtio_3 is not a mott insulator but a strongly correlated metal the tetragonal lattice geometry imposed by the srtio_3 substrate leads to an increase of the ti 3d t2g band width and a reversal of the t2g crystal field relative to the orthorhombic bulk geometry using dynamical mean field theory based on finitetemperature multiband exact diagonalization we show that as a result of these effects local coulomb interactions are not strong enough to induce a mott transition in tetragonal latio_3 the metalicity of these heterostructures is therefore not an interface property but stems from all latio_3 planes | [['it', 'is', 'shown', 'that', 'latio_3', 'in', 'superlattices', 'with', 'srtio_3', 'is', 'not', 'a', 'mott', 'insulator', 'but', 'a', 'strongly', 'correlated', 'metal', 'the', 'tetragonal', 'lattice', 'geometry', 'imposed', 'by', 'the', 'srtio_3', 'substrate', 'leads', 'to', 'an', 'increase', 'of', 'the', 'ti', '3d', 't2g', 'band', 'width', 'and', 'a', 'reversal', 'of', 'the', 't2g', 'crystal', 'field', 'relative', 'to', 'the', 'orthorhombic', 'bulk', 'geometry', 'using', 'dynamical', 'mean', 'field', 'theory', 'based', 'on', 'finitetemperature', 'multiband', 'exact', 'diagonalization', 'we', 'show', 'that', 'as', 'a', 'result', 'of', 'these', 'effects', 'local', 'coulomb', 'interactions', 'are', 'not', 'strong', 'enough', 'to', 'induce', 'a', 'mott', 'transition', 'in', 'tetragonal', 'latio_3', 'the', 'metalicity', 'of', 'these', 'heterostructures', 'is', 'therefore', 'not', 'an', 'interface', 'property', 'but', 'stems', 'from', 'all', 'latio_3', 'planes']] | [-0.1632602392108224, 0.21759436302846075, -0.050660658732522276, 0.025200738366471513, -0.0704502671957016, -0.17640385918784887, 0.10352976659002404, 0.45771833475501766, -0.2908496554187011, -0.2495933775036108, -0.011597749876922794, -0.2928141482883976, -0.1790085435334948, 0.14120875844909322, 0.00981215289572165, -0.0436261495397914, -0.03676241968004476, -0.10211160774120973, -0.1846521505509459, -0.22661618710761625, 0.2743664899253331, -0.011850528237188147, 0.32723919000653995, 0.10133777403804872, -0.011604045411305768, -0.0002706370649061033, 0.1916042533747497, 0.07167843413494882, -0.15357903227101946, 0.05107406373800976, 0.25412393525198457, -0.14445289373841314, 0.17940465330722785, -0.4666241429746151, -0.20820321273058653, -0.04027350098559899, 0.11474013559608942, 0.1791107642087376, -0.1070679300287295, -0.28838999566755125, 0.04390441326513177, -0.14093967569725854, -0.07216035892654743, -0.08392737427548994, -0.05134679705924576, -0.034124339034869555, -0.24704934335091994, 0.09702585839799473, 0.098404231027858, 0.1176942691650419, -0.1316406417039356, -0.08197492639800268, -0.16709732600886906, 0.04319174624536009, 0.08000559929447869, 0.12599656360800424, 0.14145283366863926, -0.08466076974180482, -0.07383740117130358, 0.43493598162950503, -0.013971135263065142, -0.09895021241557385, 0.18758353345051762, -0.20225615660393878, -0.05073574946394988, 0.20404848770371506, 0.08546152503307287, 0.07874152294493147, -0.1065492204567861, 0.15801218014288074, -0.036724699372869166, 0.25163383716273874, -0.026811241260951475, 0.08335011426714205, 0.24208687612166008, 0.1421918977938947, 0.07884047212345259, 0.10311214371273915, -0.11121214950856353, -0.045410513472078105, -0.19784922394901513, -0.17390142708373743, -0.2642738200557817, 0.06060958744187485, -0.09294021675526719, -0.2821638746816288, 0.345085251153103, 0.10466146293051895, 0.1644003198282527, -0.08499231433407181, 0.19689001634805686, 0.08117326873110696, 0.09621112532913685, 0.0106518944326256, 0.26727462773477395, 0.18945337631739675, 0.07966047614103272, -0.2824450108643976, 0.0662876192945987, 0.07476036318888267] |
711.0517 | Radiative Recombination Spectra of Heavily p-Type delta-Doped Gaas/Alas
MQWs | We present a study of the photoluminescence (PL) properties of heavily Be
delta-doped GaAs/AlAs multiple quantum wells measured at room and liquid
nitrogen temperatures. Possible mechanisms for photocarriers recombination are
discussed, with a particular focus on the peculiarities of the excitonic and
free carriers-acceptors PL emissions occurring below and above the Mott
metal-insulator transition. Moreover, based on a simple theoretical model, it
is found that the critical impurities concentration to observe the Mott
transition in the MQW samples exhibiting 15 nm wells width and 5 nm-thick
barrier layers is about 3 10E12 cm-2.
| cond-mat.mtrl-sci | we present a study of the photoluminescence pl properties of heavily be deltadoped gaasalas multiple quantum wells measured at room and liquid nitrogen temperatures possible mechanisms for photocarriers recombination are discussed with a particular focus on the peculiarities of the excitonic and free carriersacceptors pl emissions occurring below and above the mott metalinsulator transition moreover based on a simple theoretical model it is found that the critical impurities concentration to observe the mott transition in the mqw samples exhibiting 15 nm wells width and 5 nmthick barrier layers is about 3 10e12 cm2 | [['we', 'present', 'a', 'study', 'of', 'the', 'photoluminescence', 'pl', 'properties', 'of', 'heavily', 'be', 'deltadoped', 'gaasalas', 'multiple', 'quantum', 'wells', 'measured', 'at', 'room', 'and', 'liquid', 'nitrogen', 'temperatures', 'possible', 'mechanisms', 'for', 'photocarriers', 'recombination', 'are', 'discussed', 'with', 'a', 'particular', 'focus', 'on', 'the', 'peculiarities', 'of', 'the', 'excitonic', 'and', 'free', 'carriersacceptors', 'pl', 'emissions', 'occurring', 'below', 'and', 'above', 'the', 'mott', 'metalinsulator', 'transition', 'moreover', 'based', 'on', 'a', 'simple', 'theoretical', 'model', 'it', 'is', 'found', 'that', 'the', 'critical', 'impurities', 'concentration', 'to', 'observe', 'the', 'mott', 'transition', 'in', 'the', 'mqw', 'samples', 'exhibiting', '15', 'nm', 'wells', 'width', 'and', '5', 'nmthick', 'barrier', 'layers', 'is', 'about', '3', '10e12', 'cm2']] | [-0.07369926481750673, 0.23494855663739145, -0.003054469150653028, 0.0396035306140497, 0.06481369157605198, -0.2196144166291165, 0.12344711609741511, 0.47922631871441135, -0.21635918290880712, -0.31550396309213957, 0.032180475434237764, -0.34660070258921577, -0.08980382500601042, 0.17956899504086166, 0.029161102634490184, -0.008252249160052641, -0.055515192522485136, -0.07725485380164489, -0.07812765336648622, -0.19532135090507244, 0.26627869366506196, 0.0055521271512944895, 0.3090274370093223, 0.17967201674701241, 0.03083563694204001, -0.05017679158355231, 0.15734276319246576, -0.0327147544088328, -0.20705528236691823, 0.04535083233824243, 0.25030157627011446, -0.11031616444739958, 0.18611195518473245, -0.4224851414075364, -0.22531132132786771, -0.030426342187084905, 0.1285332452111027, 0.11478076115979449, -0.11370498117353038, -0.2667332414952714, 0.055221161977185504, -0.08889406865827092, -0.07842550444436948, 0.020441500378934586, 0.007720803664794758, -0.007961049364973365, -0.19254514536536907, 0.10475525256428543, 0.0490201616447176, 0.09285730742798794, -0.0690949443758101, -0.1449197273367368, -0.07432658395618605, 0.05642971139320213, -0.0310294369865796, 0.002211115072461088, 0.2641036845996733, -0.08570674161677269, -0.11623056793747388, 0.3597255296164962, -0.059138583647006235, 0.014328334384354885, 0.18919438008299988, -0.21831308718284834, -0.04981497998612568, 0.20939828392178955, 0.0928334984017293, 0.13015384247789727, -0.13320936428625946, 0.06387685236531189, 0.004502615122043569, 0.2373904525909735, 0.072632779665266, 0.09485208289191613, 0.24225699190941194, 0.2242358115706694, 0.016040909245772207, 0.1269804514392846, -0.1530689124331769, -0.055116813085117865, -0.21887841932640067, -0.1587395768146962, -0.17258081905057895, 0.0905047480406685, -0.06489450000061998, -0.17688076729562296, 0.378274965899713, 0.12752523452407963, 0.2164819429061659, -0.02595731672709403, 0.21605677770086282, 0.14252632534455345, 0.049467212988731815, 0.005825374417168939, 0.2616251140691178, 0.1917331710042756, 0.10771459450378366, -0.2426890062228979, 0.04876698199001586, -0.04893404860606255] |
711.0518 | Secondary anisotropies of the CMB | The Cosmic Microwave Background fluctuations provide a powerful probe of the
dark ages of the universe through the imprint of the secondary anisotropies
associated with the reionisation of the universe and the growth of structure.
We review the relation between the secondary anisotropies and and the primary
anisotropies that are directly generated by quantum fluctuations in the very
early universe. The physics of secondary fluctuations is described, with
emphasis on the ionisation history and the evolution of structure. We discuss
the different signatures arising from the secondary effects in terms of their
induced temperature fluctuations, polarisation and statistics. The secondary
anisotropies are being actively pursued at present, and we review the future
and current observational status.
| astro-ph | the cosmic microwave background fluctuations provide a powerful probe of the dark ages of the universe through the imprint of the secondary anisotropies associated with the reionisation of the universe and the growth of structure we review the relation between the secondary anisotropies and and the primary anisotropies that are directly generated by quantum fluctuations in the very early universe the physics of secondary fluctuations is described with emphasis on the ionisation history and the evolution of structure we discuss the different signatures arising from the secondary effects in terms of their induced temperature fluctuations polarisation and statistics the secondary anisotropies are being actively pursued at present and we review the future and current observational status | [['the', 'cosmic', 'microwave', 'background', 'fluctuations', 'provide', 'a', 'powerful', 'probe', 'of', 'the', 'dark', 'ages', 'of', 'the', 'universe', 'through', 'the', 'imprint', 'of', 'the', 'secondary', 'anisotropies', 'associated', 'with', 'the', 'reionisation', 'of', 'the', 'universe', 'and', 'the', 'growth', 'of', 'structure', 'we', 'review', 'the', 'relation', 'between', 'the', 'secondary', 'anisotropies', 'and', 'and', 'the', 'primary', 'anisotropies', 'that', 'are', 'directly', 'generated', 'by', 'quantum', 'fluctuations', 'in', 'the', 'very', 'early', 'universe', 'the', 'physics', 'of', 'secondary', 'fluctuations', 'is', 'described', 'with', 'emphasis', 'on', 'the', 'ionisation', 'history', 'and', 'the', 'evolution', 'of', 'structure', 'we', 'discuss', 'the', 'different', 'signatures', 'arising', 'from', 'the', 'secondary', 'effects', 'in', 'terms', 'of', 'their', 'induced', 'temperature', 'fluctuations', 'polarisation', 'and', 'statistics', 'the', 'secondary', 'anisotropies', 'are', 'being', 'actively', 'pursued', 'at', 'present', 'and', 'we', 'review', 'the', 'future', 'and', 'current', 'observational', 'status']] | [-0.14182866392817733, 0.2181581730055141, -0.10913594946634539, 0.11260736824900458, -0.0538622606224541, -0.011335264742856139, -0.05686100933235139, 0.30923370656894583, -0.2844717311994012, -0.3257405418493175, 0.07878697976461965, -0.30540401916469223, -0.0669820588804653, 0.17331511137107836, 0.07747396936736486, -0.05721172627768126, -0.0051259510941674994, -0.005252037737026795, -0.026193087513092905, -0.239590852997057, 0.3584581786276901, 0.21145217707440866, 0.2749373649115522, 0.04558581492566536, 0.07627277135656312, -0.03370136332473364, -0.13698210643959666, 0.015030769945387247, -0.17683788981186557, 0.09514485432059858, 0.17904916543770452, 0.14285830158844653, 0.16105485682262574, -0.43900715060339407, -0.22081378295792845, 0.11155606677819943, 0.1172341683433905, 0.1307308778552146, -0.09846483044635408, -0.265492407829854, 0.03785626098246651, -0.1389591968337331, -0.10908122308921583, 0.004803217074368149, -0.03603210221526438, 0.047194372691466986, -0.18281352073596469, 0.12554510969443824, 0.018337598921538426, 0.06172880374200257, -0.060041588289534736, -0.08458659947641066, -0.05233218483546556, 0.14130422969726075, 0.0672619401111974, 0.011863695935281957, 0.18492576537316602, -0.1784659823049502, -0.08563694649311746, 0.393202624283731, -0.11374373812678046, -0.07103870617193651, 0.17480892772336715, -0.23097362045343195, -0.14604718478974596, 0.0889256743308767, 0.16440505971971514, 0.055837771281246736, -0.13971694790987008, 0.08292696719588, 0.12293403310267705, 0.11178343764662839, 0.017399455894362825, 0.10512563763668054, 0.3867241204876838, 0.14339135202442713, -0.004658941444459146, 0.11350748740971603, -0.10252379385628015, -0.04230853052938293, -0.32022929143016066, -0.07999305519403825, -0.12455247067806215, 0.05738358493846167, -0.0865708473731878, -0.14248980425402585, 0.43309890677959756, 0.15022423890708336, 0.21210937972726493, -0.021058414320076078, 0.3171802785504481, 0.04205655752167363, -0.022748719244504924, 0.03810018702642992, 0.28629379705044217, 0.1731703257738163, 0.13805993338886263, -0.29750971127791204, 0.109135660840648, -0.02897658427085342] |
711.0519 | Electrical Control of Dynamic Spin Splitting Induced by Exchange
Interaction as Revealed by Time Resolved Kerr Rotation in a Degenerate
Spin-Polarized Electron Gas | The manipulation of spin degree of freedom have been demonstrated in spin
polarized electron plasma in a heterostructure by using exchange-interaction
induced dynamic spin splitting rather than the Rashba and Dresselhaus types, as
revealed by time resolved Kerr rotation. The measured spin splitting increases
from 0.256meV to 0.559meV as the bias varies from -0.3V to -0.6V. Both the sign
switch of Kerr signal and the phase reversal of Larmor precessions have been
observed with biases, which all fit into the framework of
exchange-interaction-induced spin splitting. The electrical control of it may
provide a new effective scheme for manipulating spin-selected transport in spin
FET-like devices.
| cond-mat.mes-hall cond-mat.str-el | the manipulation of spin degree of freedom have been demonstrated in spin polarized electron plasma in a heterostructure by using exchangeinteraction induced dynamic spin splitting rather than the rashba and dresselhaus types as revealed by time resolved kerr rotation the measured spin splitting increases from 0256mev to 0559mev as the bias varies from 03v to 06v both the sign switch of kerr signal and the phase reversal of larmor precessions have been observed with biases which all fit into the framework of exchangeinteractioninduced spin splitting the electrical control of it may provide a new effective scheme for manipulating spinselected transport in spin fetlike devices | [['the', 'manipulation', 'of', 'spin', 'degree', 'of', 'freedom', 'have', 'been', 'demonstrated', 'in', 'spin', 'polarized', 'electron', 'plasma', 'in', 'a', 'heterostructure', 'by', 'using', 'exchangeinteraction', 'induced', 'dynamic', 'spin', 'splitting', 'rather', 'than', 'the', 'rashba', 'and', 'dresselhaus', 'types', 'as', 'revealed', 'by', 'time', 'resolved', 'kerr', 'rotation', 'the', 'measured', 'spin', 'splitting', 'increases', 'from', '0256mev', 'to', '0559mev', 'as', 'the', 'bias', 'varies', 'from', '03v', 'to', '06v', 'both', 'the', 'sign', 'switch', 'of', 'kerr', 'signal', 'and', 'the', 'phase', 'reversal', 'of', 'larmor', 'precessions', 'have', 'been', 'observed', 'with', 'biases', 'which', 'all', 'fit', 'into', 'the', 'framework', 'of', 'exchangeinteractioninduced', 'spin', 'splitting', 'the', 'electrical', 'control', 'of', 'it', 'may', 'provide', 'a', 'new', 'effective', 'scheme', 'for', 'manipulating', 'spinselected', 'transport', 'in', 'spin', 'fetlike', 'devices']] | [-0.19041121021145954, 0.19822371011599899, -0.04074248550459743, 0.014760293093859218, -0.07358921433933574, -0.17599474220536648, 0.007101790264714509, 0.39442505318671467, -0.2696425183489919, -0.35769341871142385, 0.007246326185995713, -0.23639974158722907, -0.0648284495365806, 0.2530280314461561, 0.040905531710013744, 0.021539131635800002, -0.06399201550753787, -0.05536416575516341, -0.09616953530465253, -0.15836956758401358, 0.2549215564737096, 0.010713646076619626, 0.2857690504938364, 0.05079514623153955, 0.13010266193683492, 0.06880555906915106, 0.05833450863603502, 0.03930821442976594, -0.07136474989165435, 0.040584795936010776, 0.20836053417995573, -0.05048940815730021, 0.17325259623583406, -0.42012187824584546, -0.22593237329274415, 0.002856018664315343, 0.14019485167693346, 0.19122829823172652, -0.07809031631797553, -0.2912287160474807, 0.020606309426948428, -0.21006445065504523, -0.10743541569201626, -0.10397424500435591, 0.031761424466967586, 0.004488262333907187, -0.24589577799662948, 0.09431516525655752, 0.08713969773147255, 0.08260756279341877, -0.04305430002699723, -0.12492610473185778, -0.10018814983777702, 0.09832776554860174, 0.0699037398211658, 0.040580921568907795, 0.16709454057272524, -0.08603891621343791, -0.1978152937721461, 0.33898526094853876, -0.0910296830518928, -0.16558484837180004, 0.09841680304845796, -0.21668446774128824, -0.025315302053058986, 0.14366332173813134, 0.17019481195136904, 0.13024056823691355, -0.13620135344564915, 0.04075991291436367, 0.030996672993060203, 0.1515414403937757, 0.09782779549714178, 0.0961602517683059, 0.281887636766769, 0.15919412247720174, 0.09061136194737628, 0.11377050056005827, -0.15352174235507846, -0.05718894683173858, -0.1535175584256649, -0.11325500515522435, -0.2033613194490317, 0.12282639910001308, -0.05768514575873269, -0.091956373504363, 0.44232092873087825, 0.13211515846662222, 0.16820483253337443, -0.05721637668670155, 0.3264136895537376, 0.12194723505992443, 0.11784133492968976, 0.02240628550760448, 0.29129089845344425, 0.19196572178509086, 0.09012473706156016, -0.36623188087251035, 0.0959837384475395, -0.037021513055078684] |
711.052 | On the growth of structure in theories with a dynamical preferred frame | We study the cosmological stability of a class of theories with a dynamical
preferred frame. For a range of actions, we find cosmological solutions which
are compatible with observations of the recent history of the Universe: a
matter dominated era followed by accelerated expansion. We then study the
evolution of linear perturbations on these backgrounds and find conditions on
the parameters of the theory which allow for the growth of structure sourced by
the new degrees of freedom.
| astro-ph | we study the cosmological stability of a class of theories with a dynamical preferred frame for a range of actions we find cosmological solutions which are compatible with observations of the recent history of the universe a matter dominated era followed by accelerated expansion we then study the evolution of linear perturbations on these backgrounds and find conditions on the parameters of the theory which allow for the growth of structure sourced by the new degrees of freedom | [['we', 'study', 'the', 'cosmological', 'stability', 'of', 'a', 'class', 'of', 'theories', 'with', 'a', 'dynamical', 'preferred', 'frame', 'for', 'a', 'range', 'of', 'actions', 'we', 'find', 'cosmological', 'solutions', 'which', 'are', 'compatible', 'with', 'observations', 'of', 'the', 'recent', 'history', 'of', 'the', 'universe', 'a', 'matter', 'dominated', 'era', 'followed', 'by', 'accelerated', 'expansion', 'we', 'then', 'study', 'the', 'evolution', 'of', 'linear', 'perturbations', 'on', 'these', 'backgrounds', 'and', 'find', 'conditions', 'on', 'the', 'parameters', 'of', 'the', 'theory', 'which', 'allow', 'for', 'the', 'growth', 'of', 'structure', 'sourced', 'by', 'the', 'new', 'degrees', 'of', 'freedom']] | [-0.15089457486278546, 0.13665059021411416, -0.10987186158084884, 0.01404069291236691, -0.05887164541770919, -0.031394998371326484, -0.019057625109174598, 0.2964005299951308, -0.24687031109650165, -0.30120187093957496, 0.1355246783275969, -0.22633358393198785, -0.11791440954384132, 0.18123578127378073, 0.028735747071317375, 0.0036013390665921644, 0.04050618032805431, 0.03204644199472685, -0.0833781000214796, -0.2598447574941346, 0.39305583185229737, 0.09783693782698649, 0.19962217750099415, -0.03291737179582318, 0.1336678244675008, -0.03534031234299525, -0.08065480153816633, 0.07318928399576972, -0.20739944842763436, 0.12960488508001733, 0.1472191806255395, 0.1482046814635396, 0.23901313623616424, -0.417714153476155, -0.26900602674159485, 0.08546278779753126, 0.09791662149393979, 0.14696730762564889, -0.0981732229493224, -0.2746535046145511, 0.06943346634029578, -0.18401615405216432, -0.15534697108878157, -0.06312489831963411, -0.010114058326834287, 0.01724553193959694, -0.27951953491831844, 0.11061811807434051, -0.0042399792317808485, 0.004595654085278511, -0.10599272758461153, -0.033505308967179216, -0.005365700657980947, 0.07167312889121091, 0.08690395834258734, -0.01515964168505982, 0.11708713784957162, -0.19673409421617785, -0.10520398086354806, 0.40069568157196045, -0.12022354330372018, -0.13954648490135485, 0.18455888369144538, -0.1657356821382657, -0.15846995752340612, 0.08617745850605364, 0.17271482394650006, 0.15731339732137245, -0.13274190218549053, 0.1292298394128477, 0.027789931995077774, 0.16345115216114584, 0.0505654019697641, 0.05580727523789765, 0.30440198990683526, 0.14598982052232784, 0.040979597168282055, 0.09040049537538718, -0.009085130734512439, -0.11475141734505694, -0.35618521726857394, -0.11907825394509694, -0.09966173543570897, 0.06673837481484486, -0.1300878883337599, -0.17770808761437926, 0.44985791159650457, 0.12030516959911881, 0.20049934412758702, 0.05915537747876862, 0.20670135152072477, 0.055847588735513196, 0.03271894776620544, 0.0678198980466009, 0.2889874741817132, 0.12150112135359684, 0.07458067526563238, -0.2330189949582116, 0.018448977702810693, 0.040827387281192035] |
711.0521 | CC DIS at alpha_s^3 in Mellin-N and Bjorken-x spaces | Third-order results for the structure functions of charged-current
deep-inelastic scattering are discussed. New results for 11'th Mellin moment
for F_2,L^(nu P - nubar P) structure functions and 12'th moment for F_3^(nu P -
nubar P) are presented as well as corresponding higher Mellin moments of
differences between the respective crossing-even and -odd coefficient
functions. Approximations in Bjorken-x space for these differences obtained
with lowest five moments as well as consistency of new results with these
approximations are discussed. The 1/N_c suppression of the differences is shown
and the correction to the Paschos-Wolfenstein relation is discussed.
| hep-ph | thirdorder results for the structure functions of chargedcurrent deepinelastic scattering are discussed new results for 11th mellin moment for f_2lnu p nubar p structure functions and 12th moment for f_3nu p nubar p are presented as well as corresponding higher mellin moments of differences between the respective crossingeven and odd coefficient functions approximations in bjorkenx space for these differences obtained with lowest five moments as well as consistency of new results with these approximations are discussed the 1n_c suppression of the differences is shown and the correction to the paschoswolfenstein relation is discussed | [['thirdorder', 'results', 'for', 'the', 'structure', 'functions', 'of', 'chargedcurrent', 'deepinelastic', 'scattering', 'are', 'discussed', 'new', 'results', 'for', '11th', 'mellin', 'moment', 'for', 'f_2lnu', 'p', 'nubar', 'p', 'structure', 'functions', 'and', '12th', 'moment', 'for', 'f_3nu', 'p', 'nubar', 'p', 'are', 'presented', 'as', 'well', 'as', 'corresponding', 'higher', 'mellin', 'moments', 'of', 'differences', 'between', 'the', 'respective', 'crossingeven', 'and', 'odd', 'coefficient', 'functions', 'approximations', 'in', 'bjorkenx', 'space', 'for', 'these', 'differences', 'obtained', 'with', 'lowest', 'five', 'moments', 'as', 'well', 'as', 'consistency', 'of', 'new', 'results', 'with', 'these', 'approximations', 'are', 'discussed', 'the', '1n_c', 'suppression', 'of', 'the', 'differences', 'is', 'shown', 'and', 'the', 'correction', 'to', 'the', 'paschoswolfenstein', 'relation', 'is', 'discussed']] | [-0.0913535764550913, 0.14157672448385672, -0.04247059462244039, 0.18555855076596306, -0.03900563065474341, -0.03712118190846273, 0.002284072228236595, 0.3447450363681048, -0.2270080437372019, -0.28238937590312174, 0.037462369041200115, -0.3777942223535789, -0.08853007557259483, 0.19884129640247142, 0.07218754917874441, 0.10129061082357561, 0.0035213735670997547, 0.022092595379185547, -0.14614466452909694, -0.2606788478679136, 0.3045056584280926, 0.04999925045214675, 0.24975000592050972, 0.09418590653401154, 0.03599216778069264, 0.04507803810238429, -0.06378749666919747, -0.032127230459182005, -0.12303599489566225, 0.09639823270941174, 0.2847770018155103, 0.041935795802971, 0.12812491750426508, -0.3553561705809373, -0.07455645513894794, 0.043317607697355306, 0.10562283466416565, 0.0210836641899832, -0.008425582652117744, -0.2823867431872494, 0.10636533290188718, -0.16377023731711432, -0.13096669847452705, -0.1811930731112895, 0.08706561572226737, 0.06827792429600607, -0.3340501270453947, 0.12118400297137899, 0.0391976610772762, 0.06173881995977813, -0.059350004905814324, -0.32419087995703405, 0.0012422484130813526, 0.10414517273778444, 0.11923726306777897, 0.05230123703214493, 0.04509770368727354, -0.11498981056662, -0.14836748051815307, 0.3951764747930261, -0.03930213105619199, -0.2085250907137499, 0.09945058032031079, -0.2686834828211711, -0.1457987618120899, 0.09513153756487665, 0.16365501159740672, 0.12091878187525404, -0.12789482137336713, 0.09945664215886679, 0.032601605471387345, 0.08700006783704509, 0.1224313047407502, 0.04750381823588204, 0.12282535831372325, 0.10539563349192287, -0.0138528871370459, 0.09488192417372304, -0.09193510316557936, -0.07470421749423002, -0.393990371212527, -0.11591142051658787, -0.12870948529382656, -0.005706787170780884, -0.1146622030571382, -0.1229319777899386, 0.3145860026815681, 0.04521567673309819, 0.2371140496836013, 0.06263419899802941, 0.24721629860309455, 0.1849993029660494, 0.035374222843969176, 0.0031963891898547964, 0.23360848716449933, 0.21698028915612907, 0.08081851772206662, -0.230075855391448, 0.06782360598035567, 0.12283961278652507] |
711.0522 | Purely Algebraic Method to Construct Toric Schemes | In this article, we first give some elementary proprieties of monoids and
fans, then construct a toric scheme over an arbitrary ring, from a given fan.
Using Valuative Criterion, we prove that this scheme is separated and give the
sufficient and necessary condition when it is proper. We also study the
regularity and logarithmic regularity of it. Finally we study the morphisms of
toric schemes induced by the homomorphisms of fans.
| math.AG | in this article we first give some elementary proprieties of monoids and fans then construct a toric scheme over an arbitrary ring from a given fan using valuative criterion we prove that this scheme is separated and give the sufficient and necessary condition when it is proper we also study the regularity and logarithmic regularity of it finally we study the morphisms of toric schemes induced by the homomorphisms of fans | [['in', 'this', 'article', 'we', 'first', 'give', 'some', 'elementary', 'proprieties', 'of', 'monoids', 'and', 'fans', 'then', 'construct', 'a', 'toric', 'scheme', 'over', 'an', 'arbitrary', 'ring', 'from', 'a', 'given', 'fan', 'using', 'valuative', 'criterion', 'we', 'prove', 'that', 'this', 'scheme', 'is', 'separated', 'and', 'give', 'the', 'sufficient', 'and', 'necessary', 'condition', 'when', 'it', 'is', 'proper', 'we', 'also', 'study', 'the', 'regularity', 'and', 'logarithmic', 'regularity', 'of', 'it', 'finally', 'we', 'study', 'the', 'morphisms', 'of', 'toric', 'schemes', 'induced', 'by', 'the', 'homomorphisms', 'of', 'fans']] | [-0.1363148413283724, 0.05485881308383066, -0.12805732858078686, 0.11233772797851076, -0.06507387574971982, -0.12478609934357375, 0.030646807414522186, 0.372337765466999, -0.3471148329406557, -0.20104098009129226, 0.12346269119970343, -0.17949540236256492, -0.20041169415795387, 0.1844228945908622, -0.15959876882318985, -0.0344015906604243, 0.06163748070387773, 0.03547130393939958, -0.09476568445917481, -0.333376640532638, 0.44376140827654115, 0.018207728770941917, 0.23634355957291917, 0.12069158107829346, 0.1400357055227546, 0.0008956549138250486, -0.055247154149135023, 0.03454583111993024, -0.2729797802680429, 0.12375949642253699, 0.24814627829506258, 0.13137606100808882, 0.21170075128878085, -0.39246073790209396, -0.08617428657402035, 0.1798754071580692, 0.06502171456944984, 0.11914875408844419, -0.021606672981517836, -0.23933568957563436, 0.16766884215963138, -0.1712999407359412, -0.15931673134795168, -0.10685208995997066, 0.00914926459671746, 0.07759707727351449, -0.28955588328429094, -0.030662033041614488, 0.17341008465441968, 0.15779790854160214, -0.0633676681588863, -0.009793948077163855, -0.03536897362537787, 0.057517015590401316, -0.03664712708207293, 0.01703443519876037, 0.038540401941978594, -0.08504812156414272, -0.1076026808431136, 0.3601651467697721, -0.03301025493952616, -0.2212015434404389, 0.13272630675158031, -0.11467460739019682, -0.09576461004408103, 0.1129258856715136, 0.0929860607392981, 0.1848963002582461, -0.08552413812652394, 0.10394175455275871, -0.1548474355351547, 0.047513533777124445, 0.1270659170834951, 0.06079864120897903, 0.08264206366902085, 0.09705229706629376, 0.12768937960885215, 0.23315942847550336, -0.007584257910526554, -0.010356581560008123, -0.4155116967437133, -0.19029816208590924, -0.09836083838165226, 0.12967242055218403, -0.07587514194564789, -0.1555686237972597, 0.4011694815662209, 0.125000258146877, 0.18686056952976005, 0.07283128411049994, 0.2784640688554082, 0.059414776024887414, -0.0198290115320714, 0.09624074530643477, 0.125166291884609, 0.21297373685946452, 0.0008214796273510011, -0.12093810788618112, -0.022953704222512077, 0.1916588590821435] |
711.0523 | Monte Carlo simulations of star clusters with primordial binaries.
Comparison with N-body simulations and observations | We outline the steps needed in to calibrate the Monte Carlo code in order to
perform large scale simulations of real globular clusters. We calibrate the
results against $N$-body simulations for $N = 2500$, 10000 and for the old open
cluster M67. The calibration is done by choosing appropriate free code
parameters.
| astro-ph | we outline the steps needed in to calibrate the monte carlo code in order to perform large scale simulations of real globular clusters we calibrate the results against nbody simulations for n 2500 10000 and for the old open cluster m67 the calibration is done by choosing appropriate free code parameters | [['we', 'outline', 'the', 'steps', 'needed', 'in', 'to', 'calibrate', 'the', 'monte', 'carlo', 'code', 'in', 'order', 'to', 'perform', 'large', 'scale', 'simulations', 'of', 'real', 'globular', 'clusters', 'we', 'calibrate', 'the', 'results', 'against', 'nbody', 'simulations', 'for', 'n', '2500', '10000', 'and', 'for', 'the', 'old', 'open', 'cluster', 'm67', 'the', 'calibration', 'is', 'done', 'by', 'choosing', 'appropriate', 'free', 'code', 'parameters']] | [-0.0411471740853991, 0.11850143380134422, -0.06940781515931674, 0.15772176779779223, -0.03677293511710184, -0.07711287909735214, 0.07130846866936076, 0.42492881797107995, -0.21832772771663525, -0.4420457204767302, 0.09545841314099437, -0.2735415702781585, 0.006670850052900028, 0.24789402170070246, 0.01469860497095129, 0.11165181499924146, 0.19885013654243713, -0.0804642931576453, -0.021915495377399175, -0.3495942277322505, 0.26805714276783604, 0.15307090541019158, 0.14104236143769003, -0.09591275435306278, 0.07485045867004231, -0.01222887225266473, -0.1429264992658122, -0.004531350982028479, -0.26784596646971565, 0.026527639666763955, 0.25529323868891773, 0.13070972981479237, 0.25212229043245316, -0.41768126018053175, -0.15271291505732557, 0.030279244533648678, 0.20330477560705998, 0.1523981900319603, -0.06448463425405469, -0.21163411522466763, 0.13066332666751215, -0.1825077759978526, -0.2314808194927287, -0.054395871200397905, -0.0122959905249231, 0.029068495671940493, -0.28350564059527483, 0.05774102509752208, -0.12789999885375009, 0.10605886169508391, -0.026007501737159842, -0.127033386269913, 0.06308368314057589, 0.1916238619060274, -0.035678421975770855, 0.054462742115206575, 0.13790892868978427, -0.04547592694414597, -0.0688265408206658, 0.39169515603605437, -0.06615503271813412, -0.1481839121848929, 0.18829441461346896, -0.09764667570262271, -0.15064596618507423, 0.04493544674387165, 0.119795661255279, 0.09460355262911203, -0.17132706361064942, 0.08326269030529897, 0.007960937625052882, 0.23092138481225966, -0.010673570811894595, -0.094450639506035, 0.16667289754339293, 0.15167138174030126, -0.02210772207335514, 0.15226559148754412, -0.17002060136520394, -0.12617231934678322, -0.27048289516538965, -0.11498678736753908, -0.16139845520842308, 0.04838647731744191, -0.15052728533405837, -0.1662920322817038, 0.3131250889570105, 0.2850048871272627, 0.14043344247300982, 0.06514470602440484, 0.32653541311475576, 0.004026100039482117, 0.11620647292218957, 0.0892556584622784, 0.1560992282648644, 0.14052249173012873, 0.005825722055947956, -0.27182587105598227, -0.006385917674896179, 0.02444760997177047] |
711.0524 | Interacting generalized Chaplygin gas model in non-flat universe | We employ the generalized Chaplygin gas of interacting dark energy to obtain
the equation of state for the generalized Chaplygin gas energy density in
non-flat universe. By choosing a negative value for $B$ we see that $w_{\rm
\Lambda}^{eff}< -1$, that corresponds to a universe dominated by phantom dark
energy.
| gr-qc | we employ the generalized chaplygin gas of interacting dark energy to obtain the equation of state for the generalized chaplygin gas energy density in nonflat universe by choosing a negative value for b we see that w_rm lambdaeff 1 that corresponds to a universe dominated by phantom dark energy | [['we', 'employ', 'the', 'generalized', 'chaplygin', 'gas', 'of', 'interacting', 'dark', 'energy', 'to', 'obtain', 'the', 'equation', 'of', 'state', 'for', 'the', 'generalized', 'chaplygin', 'gas', 'energy', 'density', 'in', 'nonflat', 'universe', 'by', 'choosing', 'a', 'negative', 'value', 'for', 'b', 'we', 'see', 'that', 'w_rm', 'lambdaeff', '1', 'that', 'corresponds', 'to', 'a', 'universe', 'dominated', 'by', 'phantom', 'dark', 'energy']] | [-0.10663987287766852, 0.12919919128168603, -0.12015231686397171, 0.12369398345068401, -0.06920428617800377, -0.19124604432786607, -0.050327964925340245, 0.2641422853482013, -0.18841659680617098, -0.3178107027648663, -0.04611139952879855, -0.240493381395936, 0.04939737228904756, 0.09922472235499596, 0.04069744491455506, -0.045011981209854085, -0.04872769361114776, 0.010451278858342948, -0.015926113314166362, -0.2751365461177668, 0.41695165352857844, 0.09515325149654277, 0.19332193582299717, 0.01294387375213662, 0.15530908039333868, -0.07396579200725015, 0.03188662511315577, 0.01788445577329519, -0.31053388489817735, 0.011906861118516144, 0.21041153933928938, 0.09028556159868532, 0.2770429055434557, -0.3588719054182269, -0.29007925956072855, 0.21656630634881405, 0.14514284507770622, 0.06316073841358326, -0.0556533013147359, -0.27771946210984366, 0.009141218544421147, -0.2580975965948357, -0.20015936945470011, -0.03999168600658981, -0.009901629912914062, -0.0010378428079111843, -0.20252411930384684, 0.27059420886240443, -0.04834306484791545, -0.14127033967904898, -0.20689680488133916, -0.08962974857006754, -0.056257535418381494, -0.10073464788610534, 0.022547239912863896, 0.01604352614899375, 0.17680670665006856, -0.2262973801746052, 0.02669347146031808, 0.39939681615452377, -0.2194154282309571, -0.19166738202092143, 0.10361920749977688, -0.08759966342500886, -0.12763147561677865, 0.13194839334191413, 0.06426836162501452, 0.002353944834701869, -0.10454936310344813, 0.14741102795173622, -0.013642115473310103, 0.16821513591068132, 0.10412200730370015, -0.06974835081824235, 0.28133545732315707, 0.0938335456220167, 0.06022514136774199, 0.12775857522323422, -0.057643610974583696, -0.11570931784333471, -0.33255332495485035, -0.2487907280613269, -0.1920611266122789, 0.11738492700518394, -0.0954465682295208, -0.12058488631202859, 0.3206276914522964, 0.06720291467725623, 0.21336343321873216, -0.002417567019749965, 0.2732832228802905, 0.12563286579157018, -0.06625542520160539, 0.13803650105813975, 0.25513646706026427, 0.11155460403319828, 0.1611916657765301, -0.23176261630593514, -0.06615878702426443, 0.036073846120045196] |
711.0525 | Jacobi Forms of Degree One and Weil Representations | We discuss the notion of Jacobi forms of degree one with matrix index, we
state dimension formulas, give explicit examples, and indicate how closely
their theory is connected to the theory of invariants of Weil representations
associated to finite quadratic modules.
| math.NT | we discuss the notion of jacobi forms of degree one with matrix index we state dimension formulas give explicit examples and indicate how closely their theory is connected to the theory of invariants of weil representations associated to finite quadratic modules | [['we', 'discuss', 'the', 'notion', 'of', 'jacobi', 'forms', 'of', 'degree', 'one', 'with', 'matrix', 'index', 'we', 'state', 'dimension', 'formulas', 'give', 'explicit', 'examples', 'and', 'indicate', 'how', 'closely', 'their', 'theory', 'is', 'connected', 'to', 'the', 'theory', 'of', 'invariants', 'of', 'weil', 'representations', 'associated', 'to', 'finite', 'quadratic', 'modules']] | [-0.17577967735961442, 0.12220106578273017, -0.09938740130853214, 0.08710265365463295, -0.12426936089220207, -0.14342516896928229, -0.016461331970853414, 0.32738319157463747, -0.34354193585856657, -0.24248113692170237, 0.07119595688745016, -0.275186640676111, -0.2500399680944478, 0.17515774177977952, -0.10718485500440626, -0.007439484638048381, 0.006655809832964002, 0.1465173582432837, -0.1384251427087115, -0.31002202234798815, 0.4294368332342767, 0.006631530230728592, 0.21925284141084042, 0.08451576198155923, 0.13193754506547276, -0.007212425354959034, -0.043827657786584116, -0.05342781250705806, -0.1574055323059239, 0.22218273394377674, 0.324566893597565, 0.11057700589867081, 0.16929913211682038, -0.41551041371393493, -0.10964087086797851, 0.14599928632378578, 0.0748555099750619, 0.05535927832853503, 0.034755543078772905, -0.2289640646337009, 0.11823000428664339, -0.2149135375529579, -0.25902367914776975, -0.13492739866714834, 0.0010957192038980926, 0.01062735742548617, -0.20095280276202573, 0.05311441364720827, 0.053669637869816364, 0.11940031135227622, -0.08002180163180683, -0.13273046821037807, -0.01654769228657753, 0.05308955489578316, 0.01863225110488512, -0.07175138617706735, 0.07247777780654227, -0.11776424317461688, -0.17057290786831844, 0.2938810060618491, -0.02741974984045799, -0.24685841342207135, 0.1534953234353807, -0.1190498295217389, -0.12696908471151824, 0.07229964598649885, 0.12083445400817365, 0.11387229656300894, 0.018916603427652907, 0.1519134092107756, -0.06998944471067772, 0.09583700137928401, 0.0688211115576872, 0.048721310091999974, 0.09801782181531918, -0.00099268223999477, 0.04806032307764015, 0.1982894190927831, 0.05957520567874492, -0.12140860251809765, -0.3485197683841717, -0.19394561905050423, -0.11595264744445137, 0.08976233494751973, -0.16070354410706986, -0.21096476645595053, 0.4559896710987498, 0.08847489133022907, 0.19192378563670123, 0.1396858771785912, 0.20315864291496394, 0.16765275447652106, 0.06688275725989626, 0.03561523292077387, 0.10020434547488283, 0.3186604368795709, -0.03686627545734731, -0.14770842826266478, 0.0014660827951823792, 0.22725025220297096] |
711.0526 | Results from multi-frequency observations of PSR B0826-34 | We report new results obtained from multi-frequency observations of PSR
B0826-34 with the Giant Metrewave Radio Telescope (GMRT). (1) We find no
evidence of weak emission during the typical long null state of this pulsar,
simultaneously at 303 and 610 MHz, as well as individually at 157, 325, 610 and
1060 MHz at separate epochs. Our limit of non-detection is at ~ 1% or better of
the peak of the active state profile, and corresponds to ~ 2 mJy at 610 MHz.
(2) Significant correlation in the total intensity of the individual pulses
between 303 and 610 MHz is reported from the simultaneous dual frequency
observations, which is indicative of the broadband nature of the emission. We
also report correlation between total energy in the main pulse and inter-pulse
region from the high sensitivity single frequency observations at 610 and 1060
MHz. (3) Though we find the drift pattern to be very similar in the
simultaneous 303 and 610 MHz data, we observe that the drift band separation
(P2) evolves significantly between these two frequencies, and in a manner
opposite to the average profile evolution. In addition, we confirm the
dependence of P2 on pulse longitude at 303 MHz and find indications for the
same at 610 MHz. We also present results for subpulse width at different
frequencies, and as well as a function of pulse longitude. (4) As a natural
out-come of the simultaneous dual frequency observations, we obtain an accurate
DM value, equal to 52.2(6) pc/cc, for this pulsar.
| astro-ph | we report new results obtained from multifrequency observations of psr b082634 with the giant metrewave radio telescope gmrt 1 we find no evidence of weak emission during the typical long null state of this pulsar simultaneously at 303 and 610 mhz as well as individually at 157 325 610 and 1060 mhz at separate epochs our limit of nondetection is at 1 or better of the peak of the active state profile and corresponds to 2 mjy at 610 mhz 2 significant correlation in the total intensity of the individual pulses between 303 and 610 mhz is reported from the simultaneous dual frequency observations which is indicative of the broadband nature of the emission we also report correlation between total energy in the main pulse and interpulse region from the high sensitivity single frequency observations at 610 and 1060 mhz 3 though we find the drift pattern to be very similar in the simultaneous 303 and 610 mhz data we observe that the drift band separation p2 evolves significantly between these two frequencies and in a manner opposite to the average profile evolution in addition we confirm the dependence of p2 on pulse longitude at 303 mhz and find indications for the same at 610 mhz we also present results for subpulse width at different frequencies and as well as a function of pulse longitude 4 as a natural outcome of the simultaneous dual frequency observations we obtain an accurate dm value equal to 5226 pccc for this pulsar | [['we', 'report', 'new', 'results', 'obtained', 'from', 'multifrequency', 'observations', 'of', 'psr', 'b082634', 'with', 'the', 'giant', 'metrewave', 'radio', 'telescope', 'gmrt', '1', 'we', 'find', 'no', 'evidence', 'of', 'weak', 'emission', 'during', 'the', 'typical', 'long', 'null', 'state', 'of', 'this', 'pulsar', 'simultaneously', 'at', '303', 'and', '610', 'mhz', 'as', 'well', 'as', 'individually', 'at', '157', '325', '610', 'and', '1060', 'mhz', 'at', 'separate', 'epochs', 'our', 'limit', 'of', 'nondetection', 'is', 'at', '1', 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711.0527 | How many latin rectangles are there? | Until now the problem counting Latin rectangles m x n has been solved with an
explicit formula for m = 2, 3 and 4 only. In the present paper an explicit
formula is provided for the calculation of the number of Latin rectangles for
any order m. The results attained up to now become particular cases of this new
formula. Furthermore, putting m = n, the number of Latin squares of order n can
also be obtained in an explicit form.
| math.CO | until now the problem counting latin rectangles m x n has been solved with an explicit formula for m 2 3 and 4 only in the present paper an explicit formula is provided for the calculation of the number of latin rectangles for any order m the results attained up to now become particular cases of this new formula furthermore putting m n the number of latin squares of order n can also be obtained in an explicit form | [['until', 'now', 'the', 'problem', 'counting', 'latin', 'rectangles', 'm', 'x', 'n', 'has', 'been', 'solved', 'with', 'an', 'explicit', 'formula', 'for', 'm', '2', '3', 'and', '4', 'only', 'in', 'the', 'present', 'paper', 'an', 'explicit', 'formula', 'is', 'provided', 'for', 'the', 'calculation', 'of', 'the', 'number', 'of', 'latin', 'rectangles', 'for', 'any', 'order', 'm', 'the', 'results', 'attained', 'up', 'to', 'now', 'become', 'particular', 'cases', 'of', 'this', 'new', 'formula', 'furthermore', 'putting', 'm', 'n', 'the', 'number', 'of', 'latin', 'squares', 'of', 'order', 'n', 'can', 'also', 'be', 'obtained', 'in', 'an', 'explicit', 'form']] | [-0.15087454494890534, 0.10081760937114441, -0.015374214718519132, 0.03432516868615264, -0.04265657382062341, -0.12994478371795976, 0.03544265726033032, 0.3277815513407128, -0.216548630608175, -0.3688063824997295, 0.16717859906663152, -0.3017638959403185, -0.104837874377948, 0.1963044780489246, -0.046357776851782315, 0.0409740276540382, 0.014685726854242857, 0.08023530464100687, -0.074463394234735, -0.36022746400271033, 0.251030746305102, -0.008767293990129911, 0.16064809863838733, 0.04683904703470725, 0.12773045896304935, 5.663121472808379e-05, -0.00526166235721564, 0.03148084463231775, -0.17154909883437183, 0.1080422008725449, 0.2612365088248743, 0.14033357946119637, 0.2368870156616727, -0.4234533528738384, -0.08555667517895374, 0.13382324714307922, 0.22569117443989725, 0.07439812882272881, -0.012411000867244563, -0.18734305250588096, 0.09896430333109596, -0.18453314439452526, -0.1766407520663512, -0.043488161791634714, 0.10550083102116102, -0.05237854083504858, -0.31069116308530675, -0.04263731161511173, 0.10749354661454129, 0.06107352636282957, 0.04952135497020393, -0.22770696812415425, 0.04347737418204735, 0.16520112182331992, 0.023038429617763884, 0.055633983026624104, -0.05562353061064135, -0.07604978431923952, -0.09614841144862055, 0.3383613159950775, -0.010859723889587235, -0.22467283656985698, 0.04157421435966286, -0.16556992678007088, -0.1499621646620239, 0.17883645251534785, 0.11190720621343184, 0.15759135591738585, -0.10502113645919893, 0.13802505141239071, -0.1447363683093292, 0.16317995427812956, 0.15407559580959473, -0.038153098731101315, 0.1032794838228935, 0.11759551227847233, 0.09970933197013138, 0.14404370117183962, -0.040052833365677276, -0.0124559182308237, -0.33068258635982684, -0.20492334299591147, -0.2251961656103406, 0.07474387547920776, -0.1278085368035193, -0.13731043814103813, 0.2582406813390789, 0.0674307094002732, 0.1773535501494815, 0.11598069856202678, 0.2441651726353772, 0.12834835259974758, 0.03160833366969718, 0.0894768028048492, 0.11785340573214277, 0.13833783882894093, 0.0066337374428027795, -0.13726751286465722, 0.0030857672431518005, 0.12733669230667286] |
711.0528 | Web-based Interface in Public Cluster | A web-based interface dedicated for cluster computer which is publicly
accessible for free is introduced. The interface plays an important role to
enable secure public access, while providing user-friendly computational
environment for end-users and easy maintainance for administrators as well. The
whole architecture which integrates both aspects of hardware and software is
briefly explained. It is argued that the public cluster is globally a unique
approach, and could be a new kind of e-learning system especially for parallel
programming communities.
| cs.DC cs.CY | a webbased interface dedicated for cluster computer which is publicly accessible for free is introduced the interface plays an important role to enable secure public access while providing userfriendly computational environment for endusers and easy maintainance for administrators as well the whole architecture which integrates both aspects of hardware and software is briefly explained it is argued that the public cluster is globally a unique approach and could be a new kind of elearning system especially for parallel programming communities | [['a', 'webbased', 'interface', 'dedicated', 'for', 'cluster', 'computer', 'which', 'is', 'publicly', 'accessible', 'for', 'free', 'is', 'introduced', 'the', 'interface', 'plays', 'an', 'important', 'role', 'to', 'enable', 'secure', 'public', 'access', 'while', 'providing', 'userfriendly', 'computational', 'environment', 'for', 'endusers', 'and', 'easy', 'maintainance', 'for', 'administrators', 'as', 'well', 'the', 'whole', 'architecture', 'which', 'integrates', 'both', 'aspects', 'of', 'hardware', 'and', 'software', 'is', 'briefly', 'explained', 'it', 'is', 'argued', 'that', 'the', 'public', 'cluster', 'is', 'globally', 'a', 'unique', 'approach', 'and', 'could', 'be', 'a', 'new', 'kind', 'of', 'elearning', 'system', 'especially', 'for', 'parallel', 'programming', 'communities']] | [-0.14856906330678613, 0.02763715871715249, -0.09783141786465421, 0.09590297479298897, -0.15606803612608927, -0.2446455956340287, 0.004559837677516043, 0.399160936808039, -0.27427583347307516, -0.3336370422970504, 0.12845572229634855, -0.20886949427076615, -0.14454383628908546, 0.26489182785153387, -0.05607451513642445, 0.032775487564504144, 0.09673726258188253, 0.0032801272493088616, 0.0547342742800538, -0.2580121264618356, 0.26473818777594715, 0.1299025025917217, 0.3123619606019929, 0.12214539681444876, 0.08228100964915938, 0.03950158193183597, -0.06111875971546397, 0.0016007276601158083, -0.07581277351464451, 0.13677057827590033, 0.37855383624846584, 0.21213310653693043, 0.3293524351902306, -0.3766586355515756, -0.1584478121716529, -0.02118579355010297, 0.1858823808724992, 0.09425526257255115, -0.10117825208581052, -0.31102001287508757, 0.0816876614044304, -0.2401710396283306, -0.12870122104395704, -0.10409543468849733, 0.015938889523386023, -0.033819415840116565, -0.27595690651796756, -0.008775868464726954, -0.00440030643803766, 0.12305480166105554, -0.013824631545867305, -0.07444126955087996, -0.02429905514291022, 0.23228815801558084, -0.03107147134433035, 0.07867840410326607, 0.15504265449999366, -0.12858312549360562, -0.08355841904412956, 0.4120551019324921, 0.05447655887401197, -0.15977933612302878, 0.24123426683363505, 0.029219917696900667, -0.1645988896023482, 0.06821213386720046, 0.1960426430683583, 0.051164120947942135, -0.2514006393379532, 0.11758491664731992, 0.019888982738484627, 0.2055154408037197, -0.02000047011533752, 0.026317843358265237, 0.24570988225750626, 0.24757026141742244, 0.09438133841613308, 0.16916187407477992, 0.015381437027826905, -0.12779485004721208, -0.24464023390319198, -0.2516086772142444, -0.16815302302129567, -0.045144282188266514, -0.022615003695864288, -0.16791482243133943, 0.3399772864882834, 0.16238663847034332, 0.03048385417787358, 0.014954815844248515, 0.3400123993778834, 0.024854909784335178, 0.13965567759005354, 0.13637745748856106, 0.1524453027639538, 0.023562719011079026, 0.1983738423587056, -0.13566544957575388, 0.1373358542274218, -0.01945658159093] |
711.0529 | Searches for Physics Beyond the Standard Model at Colliders | All experimental measurements of particle physics today are beautifully
described by the Standard Model. However, there are good reasons to believe
that new physics may be just around the corner at the TeV energy scale. This
energy range is currently probed by the Tevatron and HERA accelerators and
selected results of searches for physics beyond the Standard Model are
presented here. No signals for new physics have been found and limits are
placed on the allowed parameter space for a variety of different particles.
| hep-ex | all experimental measurements of particle physics today are beautifully described by the standard model however there are good reasons to believe that new physics may be just around the corner at the tev energy scale this energy range is currently probed by the tevatron and hera accelerators and selected results of searches for physics beyond the standard model are presented here no signals for new physics have been found and limits are placed on the allowed parameter space for a variety of different particles | [['all', 'experimental', 'measurements', 'of', 'particle', 'physics', 'today', 'are', 'beautifully', 'described', 'by', 'the', 'standard', 'model', 'however', 'there', 'are', 'good', 'reasons', 'to', 'believe', 'that', 'new', 'physics', 'may', 'be', 'just', 'around', 'the', 'corner', 'at', 'the', 'tev', 'energy', 'scale', 'this', 'energy', 'range', 'is', 'currently', 'probed', 'by', 'the', 'tevatron', 'and', 'hera', 'accelerators', 'and', 'selected', 'results', 'of', 'searches', 'for', 'physics', 'beyond', 'the', 'standard', 'model', 'are', 'presented', 'here', 'no', 'signals', 'for', 'new', 'physics', 'have', 'been', 'found', 'and', 'limits', 'are', 'placed', 'on', 'the', 'allowed', 'parameter', 'space', 'for', 'a', 'variety', 'of', 'different', 'particles']] | [-0.02554303746382218, 0.20089037154823364, -0.050898284856451766, 0.12648365139916895, -0.07475103320930862, -0.15783142763705524, -0.0018133388740742312, 0.33554997370534, -0.23186478135176003, -0.391077599887337, 0.11243522487625125, -0.29429315006183016, -0.024348566286443246, 0.2849086380662075, 0.051819538026826366, 0.07071160255665225, 0.06615007710310497, 0.003079521491946209, -0.03402943171594026, -0.210134869119862, 0.25780364302253084, 0.11007834116130003, 0.23953232467950633, 0.09566884189622388, 0.07003097388050741, -0.043089303642600066, -0.033469482291755934, 0.0056667417960679384, -0.14335211331810915, 0.0625894710343952, 0.2803643729892515, 0.11095631271711595, 0.19412338931024783, -0.4267598587709169, -0.2095206407830119, 0.11676342568049829, 0.14071430490973094, 0.09139310795858148, -0.12935192952448102, -0.28139517784473445, 0.0888206867523314, -0.15418678950074882, -0.11795407954958223, -0.06004744876242642, -0.006154337931158287, 0.011698943550332583, -0.2222757492702277, 0.0490047876678762, -0.0293000968605546, 0.047683152614072674, -0.011118065432778426, -0.19510597814362318, 0.0030269884266003614, 0.050455392099961284, 0.04595007846018277, 0.013411476863742186, 0.15402054955207167, -0.16234605422054993, -0.16861225102495933, 0.4042476545132342, 0.008760480492907976, -0.16189228867491087, 0.253973563556515, -0.21098941112757616, -0.13959340536079945, 0.11429717757606081, 0.17454737345022814, 0.047642000038476476, -0.20754169601769673, 0.1601654841056838, -0.040938930899193066, 0.15535952197387815, 0.025941283054028947, 0.058878477273364774, 0.26108309178657474, 0.21359334941509933, 0.0053667818179487115, 0.011866628348971495, -0.10330956950063064, -0.10989667278426211, -0.3808361834623308, -0.08155620024938669, -0.16920260230350928, -0.04141472852253563, -0.022280321439341475, -0.06604623099389885, 0.3945607251676154, 0.16852435196467144, 0.20617541188507207, -0.016158553871459196, 0.2544479263957501, 0.08373865384713836, 0.10467118122393176, 0.041810096435559295, 0.3740476284043065, 0.028513908768737956, 0.11548383177501992, -0.09403512148474831, 0.03792995824256823, -0.0022990777755954434] |
711.053 | Synchronization on complex networks with different sorts of communities | In this paper, inspired by the idea that many real networks are composed by
different sorts of communities, we investigate the synchronization property of
oscillators on such networks. We identify the communities by the intrinsic
frequencies probability density $g(\omega)$ of Kuramoto oscillators. That is to
say, communities in different sorts are functional different. For a network
containing two sorts of communities, when the community strength is strong,
only the oscillators in the same community synchronize. With the weakening of
the community strength, an interesting phenomenon, \emph{Community Grouping},
appears: although the global synchronization is not achieved, oscillators in
the same sort of communities will synchronize. Global synchronization will
appear with the further reducing of the community strength, and the oscillators
will rotate around the average frequency.
| physics.data-an physics.comp-ph | in this paper inspired by the idea that many real networks are composed by different sorts of communities we investigate the synchronization property of oscillators on such networks we identify the communities by the intrinsic frequencies probability density gomega of kuramoto oscillators that is to say communities in different sorts are functional different for a network containing two sorts of communities when the community strength is strong only the oscillators in the same community synchronize with the weakening of the community strength an interesting phenomenon emphcommunity grouping appears although the global synchronization is not achieved oscillators in the same sort of communities will synchronize global synchronization will appear with the further reducing of the community strength and the oscillators will rotate around the average frequency | [['in', 'this', 'paper', 'inspired', 'by', 'the', 'idea', 'that', 'many', 'real', 'networks', 'are', 'composed', 'by', 'different', 'sorts', 'of', 'communities', 'we', 'investigate', 'the', 'synchronization', 'property', 'of', 'oscillators', 'on', 'such', 'networks', 'we', 'identify', 'the', 'communities', 'by', 'the', 'intrinsic', 'frequencies', 'probability', 'density', 'gomega', 'of', 'kuramoto', 'oscillators', 'that', 'is', 'to', 'say', 'communities', 'in', 'different', 'sorts', 'are', 'functional', 'different', 'for', 'a', 'network', 'containing', 'two', 'sorts', 'of', 'communities', 'when', 'the', 'community', 'strength', 'is', 'strong', 'only', 'the', 'oscillators', 'in', 'the', 'same', 'community', 'synchronize', 'with', 'the', 'weakening', 'of', 'the', 'community', 'strength', 'an', 'interesting', 'phenomenon', 'emphcommunity', 'grouping', 'appears', 'although', 'the', 'global', 'synchronization', 'is', 'not', 'achieved', 'oscillators', 'in', 'the', 'same', 'sort', 'of', 'communities', 'will', 'synchronize', 'global', 'synchronization', 'will', 'appear', 'with', 'the', 'further', 'reducing', 'of', 'the', 'community', 'strength', 'and', 'the', 'oscillators', 'will', 'rotate', 'around', 'the', 'average', 'frequency']] | [-0.2273458118736744, 0.1872047533962177, -0.018123664297163486, 0.03495408312417567, -0.0667415182236582, -0.11476488700031769, 0.03037451730761677, 0.37689329917728903, -0.26033063092827796, -0.28883810924063436, 0.03759386515244842, -0.2587771271560341, -0.2236547310575843, 0.12431469529867173, -0.04852229700610042, -0.028231844931840895, 0.06691369481384754, 0.11401812003552914, 0.021596454102545976, -0.23456537838838995, 0.324662744641304, 0.039786272060358896, 0.3149092728421092, -0.020463956262916326, 0.05225702619180083, -0.05125199960544705, 0.002446957141160965, 0.05334634574409574, -0.08107365061400924, 0.10404826019331813, 0.2824751664400101, 0.15428814103081823, 0.3533147305883467, -0.43970288906991484, -0.202347767226398, 0.17688859399035572, 0.15483054335974156, 0.13446441116556526, 0.042469500942541344, -0.3310790353799239, 0.07623438767623156, -0.13686370318569244, -0.10920108709856868, -0.054176498975255526, 0.02314096102118492, 0.1134678968936205, -0.19953392145410181, 0.03486271541565657, 0.05925133537873626, 0.0733352519198088, -0.013517707392573356, -0.0680862832069397, -0.01687416063249111, 0.18913215808500536, 0.032579748930409554, -0.03622306169942022, 0.13998657256364821, -0.10729403190128506, -0.10159541377192363, 0.34734657461196183, -0.03122453885152936, -0.15160423044150229, 0.24830028906837107, -0.11048848820105195, -0.18956008242070674, 0.07163589692488313, 0.16982867782190442, 0.017358573159202934, -0.1579192746594781, 0.026544163334649058, -0.0201340988939628, 0.21144348603487015, 0.11497432487457991, 0.03692504634754732, 0.19554633681103586, 0.19511950256861746, 0.11702206243528053, 0.14088162112608552, -0.02961805427726358, -0.10843933573365211, -0.19933136985450983, -0.07364703080803156, -0.21559237709641457, -0.020308961110073142, -0.11732970104354899, -0.15463671128824352, 0.46119680547341707, 0.13528996178507804, 0.16990421399474143, 0.046925098745152355, 0.24098669469356537, 0.07495280000567436, 0.09067202863842248, 0.0521967985406518, 0.27891919848695396, 0.12729833251051606, 0.10970696449652315, -0.20854348365217448, 0.06879659848613665, 0.016818170307204127] |
711.0531 | Automorphisms of Chevalley groups of types B_2 and G_2 over local rings | In the paper we prove that every automorphism of any adjoint Chevalley group
of types B_2 or G_2 is standard, i.e., it is a composition of the ``inner''
automorphism, ring automorphism and central automorphism.
| math.GR math.RA | in the paper we prove that every automorphism of any adjoint chevalley group of types b_2 or g_2 is standard ie it is a composition of the inner automorphism ring automorphism and central automorphism | [['in', 'the', 'paper', 'we', 'prove', 'that', 'every', 'automorphism', 'of', 'any', 'adjoint', 'chevalley', 'group', 'of', 'types', 'b_2', 'or', 'g_2', 'is', 'standard', 'ie', 'it', 'is', 'a', 'composition', 'of', 'the', 'inner', 'automorphism', 'ring', 'automorphism', 'and', 'central', 'automorphism']] | [-0.24657155799350755, 0.08786176551845581, -0.1221439809374073, -0.0021449841545237336, -0.14729144618682125, -0.09758296043283361, -0.07364184398080825, 0.3906354665317956, -0.3827265259426306, -0.19298762691152446, 0.1696283124243457, -0.26527289175154534, -0.10809059778694063, 0.11968288443955209, -0.1658796827712863, -0.1209881380200386, 0.06147861870875418, 0.23835857979515018, -0.12629579061724464, -0.2550085856414893, 0.42773030654472466, -0.09789648783557556, 0.1393034791793017, 0.01754749152699814, 0.07492077065741315, 0.008577206350096008, 0.03304768426631413, -0.09690521309590515, -0.1209857970390979, 0.05554308180752046, 0.2793549549053697, 0.04587684650494553, 0.1511250106508241, -0.3302057805181796, -0.10888923636144575, 0.27488318018560465, 0.20619506328640616, -0.062384781263330406, -0.10121415595880107, -0.22610154457609444, 0.16948490676141398, -0.2761994853944463, -0.17400211881955757, 0.022949738934745684, 0.1101909546619829, -0.045673325931762945, -0.2511667309000212, 0.016917145838413167, 0.15944451515508049, 0.18664334963678436, -0.006698050974484752, -0.08602022113935913, -0.1169620723299244, 0.1443764324341079, -0.059568979928050846, 0.049468072377802694, 0.15021109717781655, -0.06586208435542443, -0.10509364104227108, 0.41571561247110367, -0.02315935640431502, -0.1674042220282204, 0.09617442730814219, -0.20974895358085632, -0.20097656372715444, 0.0699769707999247, 0.05054435528376523, 0.15647794574718266, -0.0036622852580074, 0.26346660391530297, -0.1692878780338694, 0.15389045092332013, 0.10360318983850234, -0.08303464553318918, 0.09236048581078649, 0.11000485133434482, 0.11445574814484537, 0.12420344463659122, 0.11254431778455481, 0.07256232833434992, -0.3730856344542083, -0.20968859023688471, -0.04735791020314483, 0.1398439813295708, -0.1516950761429411, -0.14675017668153434, 0.44770021429833246, 0.06667773014701464, 0.0750923393677701, 0.06175521654350793, 0.23551740330260465, -0.012158174506005119, 0.13976507343570976, 0.14845872601932464, 0.09514577610945493, 0.29796590929960504, -0.1930270948830773, -0.18949615322601268, -0.013741650166647398, 0.27109197606606517] |
711.0532 | Automorphisms of the semigroup of invertible matrices with nonnegative
elements over commutative partially ordered rings | Suppose that R is an ordered ring, G_n(R) is a subsemigroup of $GL_n(R)$,
consisting of all matrices with nonnegative elements. A.V. Mikhalev and M.A.
Shatalova described all automorphisms of G_n(R), where R is a linearly ordered
skewfield and n>1. E.I. Bunina and A.V. Mikhalev found all automorphisms of
G_n(R), if R is an arbitrary linearly ordered associative ring with 1/2, n>2.
In this paper we describe automorphisms of G_n(R), if R is a commutative
partially ordered ring, containing Q, n>2.
| math.RA | suppose that r is an ordered ring g_nr is a subsemigroup of gl_nr consisting of all matrices with nonnegative elements av mikhalev and ma shatalova described all automorphisms of g_nr where r is a linearly ordered skewfield and n1 ei bunina and av mikhalev found all automorphisms of g_nr if r is an arbitrary linearly ordered associative ring with 12 n2 in this paper we describe automorphisms of g_nr if r is a commutative partially ordered ring containing q n2 | [['suppose', 'that', 'r', 'is', 'an', 'ordered', 'ring', 'g_nr', 'is', 'a', 'subsemigroup', 'of', 'gl_nr', 'consisting', 'of', 'all', 'matrices', 'with', 'nonnegative', 'elements', 'av', 'mikhalev', 'and', 'ma', 'shatalova', 'described', 'all', 'automorphisms', 'of', 'g_nr', 'where', 'r', 'is', 'a', 'linearly', 'ordered', 'skewfield', 'and', 'n1', 'ei', 'bunina', 'and', 'av', 'mikhalev', 'found', 'all', 'automorphisms', 'of', 'g_nr', 'if', 'r', 'is', 'an', 'arbitrary', 'linearly', 'ordered', 'associative', 'ring', 'with', '12', 'n2', 'in', 'this', 'paper', 'we', 'describe', 'automorphisms', 'of', 'g_nr', 'if', 'r', 'is', 'a', 'commutative', 'partially', 'ordered', 'ring', 'containing', 'q', 'n2']] | [-0.24257827621514502, 0.21541825837481063, 0.015831265861216266, -0.0856599797164866, -0.00784084941439617, -0.19866923749661788, -0.11015191656173183, 0.373382691723796, -0.3463246944742516, -0.14172746051843157, 0.10700142185221641, -0.3212464157109841, -0.10671447281194373, 0.0757048643218019, -0.08196774483300172, -0.11416271061767848, -0.053698826171547316, 0.13664933966281703, -0.06921965634533897, -0.32807987703917885, 0.3311067446588706, -0.06831622324310817, 0.10605696650992076, -0.03141859276459003, 0.09206091545713253, 0.033269841176195025, -0.02125639153811603, 0.04726232478442865, -0.1419286097625445, 0.0781285861471238, 0.3155692690649094, 0.08035936817908898, 0.14334048161235374, -0.3094323302069918, -0.0601478876808706, 0.1756073395984295, 0.1620851080847504, -0.06089440751104401, -0.007719702791804686, -0.19574553040692058, 0.18522652600390407, -0.2696229113856904, -0.13650440770941666, -0.023297300562262535, 0.23306431766981497, 0.026580079643724438, -0.3747418758053428, -0.023993208335760314, 0.14243377029943544, 0.1572663309171987, -0.04750673808097744, -0.12750136683909938, -0.10331170182102002, 0.022816805962998517, -0.10341424672589757, 0.09642473129758564, 0.08622098411433399, -0.012552259988390291, -0.08571102811644475, 0.3631603210233152, -0.048671186728498496, -0.17361047018008927, 0.11539785137089591, -0.1956338706517365, -0.11734709017074262, 0.1383650591596961, 0.023979313934269626, 0.1941492972919383, -0.027352832424908113, 0.29890920890232875, -0.19173472059460786, 0.18935270661201614, 0.06635709620045069, -0.028982702421788603, 0.1246243965310546, 0.06512588964631924, 0.08677818876122519, 0.14121971878772363, 0.07450342321625122, 0.028670954846371062, -0.3324422639531967, -0.15810494809053266, -0.1137947896331286, 0.1836262143885669, -0.10351432440149484, -0.1846807776735379, 0.3387171945725687, 0.03394596351501651, 0.18929423949418542, 0.04932575311081914, 0.1702911010107551, 0.014135259645394025, 0.024302796962169502, 0.14114643553964412, 0.0027579209313560757, 0.23792023684542912, -0.07646085007880361, -0.12784216954754904, -0.057118199891052567, 0.15480355135141274] |
711.0533 | Torque magnetometry study of metamagnetic transitions in single-crystal
HoNi2B2C at T\approx 1.9 K | Metamagnetic transitions in single-crystal rare-earth nickel borocarbide
HoNi$_2$B$_2$C have been studied at T\approx 1.9 K with a Quantum Design torque
magnetometer. This compound is highly anisotropic with a variety of
metamagnetic states at low temperature which includes antiferromagnetic,
ferrimagnetic, non-collinear and ferromagnetic-like (saturated paramagnet)
states. The critical fields of the transitions depend crucially on the angle
$\theta$ between applied field and the easy axis [110]. Measurements of torque
along the c-axis have been made while changing the angular direction of the
magnetic field (parallel to basal tetragonal $ab$-planes) and with changing
field at fixed angle over a wide angular range. Two new phase boundaries in the
region of the non-collinear phase have been observed, and the direction of the
magnetization in this phase has been precisely determined. At low field the
antiferromagnetic phase is observed to be multidomain. In the angular range
very close to the hard axis [100] ($-6^{\circ} \lesssim\phi \lesssim
6^{\circ}$, where $\phi$ is the angle between field and the hard axis) the
magnetic behavior is found to be ``frustrated'' with a mixture of phases with
different directions of the magnetization.
| cond-mat.str-el cond-mat.supr-con | metamagnetic transitions in singlecrystal rareearth nickel borocarbide honi_2b_2c have been studied at tapprox 19 k with a quantum design torque magnetometer this compound is highly anisotropic with a variety of metamagnetic states at low temperature which includes antiferromagnetic ferrimagnetic noncollinear and ferromagneticlike saturated paramagnet states the critical fields of the transitions depend crucially on the angle theta between applied field and the easy axis 110 measurements of torque along the caxis have been made while changing the angular direction of the magnetic field parallel to basal tetragonal abplanes and with changing field at fixed angle over a wide angular range two new phase boundaries in the region of the noncollinear phase have been observed and the direction of the magnetization in this phase has been precisely determined at low field the antiferromagnetic phase is observed to be multidomain in the angular range very close to the hard axis 100 6circ lesssimphi lesssim 6circ where phi is the angle between field and the hard axis the magnetic behavior is found to be frustrated with a mixture of phases with different directions of the magnetization | [['metamagnetic', 'transitions', 'in', 'singlecrystal', 'rareearth', 'nickel', 'borocarbide', 'honi_2b_2c', 'have', 'been', 'studied', 'at', 'tapprox', '19', 'k', 'with', 'a', 'quantum', 'design', 'torque', 'magnetometer', 'this', 'compound', 'is', 'highly', 'anisotropic', 'with', 'a', 'variety', 'of', 'metamagnetic', 'states', 'at', 'low', 'temperature', 'which', 'includes', 'antiferromagnetic', 'ferrimagnetic', 'noncollinear', 'and', 'ferromagneticlike', 'saturated', 'paramagnet', 'states', 'the', 'critical', 'fields', 'of', 'the', 'transitions', 'depend', 'crucially', 'on', 'the', 'angle', 'theta', 'between', 'applied', 'field', 'and', 'the', 'easy', 'axis', '110', 'measurements', 'of', 'torque', 'along', 'the', 'caxis', 'have', 'been', 'made', 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711.0534 | Hysteretic magnetotransport in p-type AlGaAs heterostructures with
In/Zn/Au ohmic contacts | The two-terminal magneto-conductance of a hole gas in C-doped AlGaAs/GaAs
heterostructures with ohmic contacts consisting of alloyed In/Zn/Au displays a
pronounced hysteresis of the conductance around zero magnetic field. The
hysteresis disappears above magnetic fields of around 0.5 T and temperatures
above 300 mK. For magnetic fields below 10 mT we observe a pronounced dip in
the magneto-conductance. We tentatively discuss these experimental observations
in the light of superconductivity of the ohmic contacts.
| cond-mat.mes-hall cond-mat.supr-con | the twoterminal magnetoconductance of a hole gas in cdoped algaasgaas heterostructures with ohmic contacts consisting of alloyed inznau displays a pronounced hysteresis of the conductance around zero magnetic field the hysteresis disappears above magnetic fields of around 05 t and temperatures above 300 mk for magnetic fields below 10 mt we observe a pronounced dip in the magnetoconductance we tentatively discuss these experimental observations in the light of superconductivity of the ohmic contacts | [['the', 'twoterminal', 'magnetoconductance', 'of', 'a', 'hole', 'gas', 'in', 'cdoped', 'algaasgaas', 'heterostructures', 'with', 'ohmic', 'contacts', 'consisting', 'of', 'alloyed', 'inznau', 'displays', 'a', 'pronounced', 'hysteresis', 'of', 'the', 'conductance', 'around', 'zero', 'magnetic', 'field', 'the', 'hysteresis', 'disappears', 'above', 'magnetic', 'fields', 'of', 'around', '05', 't', 'and', 'temperatures', 'above', '300', 'mk', 'for', 'magnetic', 'fields', 'below', '10', 'mt', 'we', 'observe', 'a', 'pronounced', 'dip', 'in', 'the', 'magnetoconductance', 'we', 'tentatively', 'discuss', 'these', 'experimental', 'observations', 'in', 'the', 'light', 'of', 'superconductivity', 'of', 'the', 'ohmic', 'contacts']] | [-0.2553109729722362, 0.2610872273799032, 0.024331870411212247, 0.02978422640201946, 0.02680781046445999, -0.21371923187204325, 0.10477614658561328, 0.39513769487126005, -0.18510148503507176, -0.35396234520400566, -0.05856953312144873, -0.36262888646322405, -0.10128491617635721, 0.23954232227535815, 0.029186676657344732, -0.054514456126425, -0.04364034251516892, 0.002001455470033559, -0.10766364217528866, -0.18728508430326152, 0.2584468389654325, -0.002476175475344967, 0.2585959401912987, 0.1341358463590344, 0.037559990104960486, -0.07215744937356147, 0.1855983055364858, 0.09752531186677516, -0.1580130977349149, -0.08512361526663881, 0.23688308602302438, -0.21249864149528244, 0.1900582246016711, -0.42685541302327895, -0.1916914407047443, -0.04048551500050558, 0.12421390780299488, 0.0959398825911598, -0.05562452395032677, -0.2250584271322522, 0.08433994652457638, -0.05132101020879216, -0.1524510155367251, 0.004218919823567073, -0.011801959456837116, -0.04350840344947452, -0.22566494345664978, 0.18201561534078792, 0.07190829581749211, 0.20604117504101144, -0.108268713106453, -0.13545845147584462, -0.057058635213050164, 0.004223700567510807, 0.02564158332016733, 0.06136731128208339, 0.30965356367071056, -0.11892393053050102, -0.09466697957961717, 0.22569460852537304, -0.12023588585563832, 0.06461582074148788, 0.14936385206076214, -0.3019312788447779, -0.0592149405209865, 0.21215422857656246, 0.10849336245640491, 0.07076092034630063, -0.12191092206760207, 0.05547334086845189, 0.007911626540590078, 0.12464127257569796, 0.0896003812732589, 0.04008303962311604, 0.3220745083462033, 0.2384309647216772, -0.017919979840775743, 0.16319166453710446, -0.2390941303779578, -0.005869834066187549, -0.23527962383296755, -0.1660819482122962, -0.14398559314819673, 0.16328263024075163, -0.09843437263670138, -0.24111143766074544, 0.3974017515817347, 0.20464040653314441, 0.24128602848698696, -0.04408492351649329, 0.2667148833473523, 0.09906282980227843, 0.11026717441725647, 0.07532164773955527, 0.24663510866877106, 0.2772870801208127, 0.23454208177928296, -0.30141512132508474, 0.009217426255215995, -0.13788412834482086] |
711.0535 | Which operator generates time evolution in Quantum Mechanics? | We attract attention to an interesting family of quantum systems where the
generator $H_{(gen)}$ of time-evolution of wave functions is not equal to the
Hamiltonian $H$. We describe the origin of the difference $H_{(gen)}-H$ and
interpret it as a carrier of a compressed information about the other relevant
observables.
| quant-ph | we attract attention to an interesting family of quantum systems where the generator h_gen of timeevolution of wave functions is not equal to the hamiltonian h we describe the origin of the difference h_genh and interpret it as a carrier of a compressed information about the other relevant observables | [['we', 'attract', 'attention', 'to', 'an', 'interesting', 'family', 'of', 'quantum', 'systems', 'where', 'the', 'generator', 'h_gen', 'of', 'timeevolution', 'of', 'wave', 'functions', 'is', 'not', 'equal', 'to', 'the', 'hamiltonian', 'h', 'we', 'describe', 'the', 'origin', 'of', 'the', 'difference', 'h_genh', 'and', 'interpret', 'it', 'as', 'a', 'carrier', 'of', 'a', 'compressed', 'information', 'about', 'the', 'other', 'relevant', 'observables']] | [-0.12946130834678385, 0.13379509740371623, -0.07877771964574114, 0.09548818828547968, -0.09324897376899706, -0.11768703905746658, 0.009767836370961146, 0.34689303059527216, -0.29535971011253115, -0.24722819985385905, 0.08384897656976542, -0.3183786608476905, -0.1446276409056117, 0.18379242842065843, -0.01524234238883203, 0.05030938416243868, 0.010439813989115523, 0.12780685271037387, -0.10207373249602128, -0.19468040003421458, 0.3068039110524857, 0.05410542998195408, 0.2199339658973065, 0.043051712779684906, 0.09599844360367414, 0.010408690382548153, 0.0073502171051470526, -0.02215227090377123, -0.15888238099819801, 0.14504413712928269, 0.24187969828539707, 0.13218315999875677, 0.24234307282901507, -0.39488234331316135, -0.2225009917697691, 0.10647694411826261, 0.11896780450293358, 0.14468519258847895, -0.02348230299638941, -0.2578409424923519, 0.047264326046755976, -0.19577154128792437, -0.13808661750815016, -0.05403291295341989, 0.06861935761024027, 0.01918462612368959, -0.24840960868614467, 0.02941725926691706, 0.08378247805732361, 0.0027140759010898306, -0.0052355483590446885, -0.08399539165436587, -0.03251535949753003, 0.15199687456751756, 0.061673033680330884, 0.027134775894971444, 0.12140683621722967, -0.13864443011264851, -0.09708808818237578, 0.41988717198267855, -0.03540102504887321, -0.20000893927793553, 0.17689240253233213, -0.1529758372145923, -0.11253027324663832, 0.11832356242898931, 0.19486974647387545, 0.12283575896451131, -0.13056892132822503, 0.07412427748885363, -0.05775011431963302, 0.16434508303497383, 0.02075439705414341, 0.1298399580484058, 0.202469412673344, 0.10519021380682812, 0.07648995948678002, 0.13891961542577383, -0.032960524029554204, -0.12765611070109176, -0.31310178521782794, -0.19278874494967627, -0.22914365444708854, 0.07848564351715663, -0.026412691747301577, -0.17689820474132578, 0.4453636847753474, 0.18823117853954752, 0.23908880999945897, -0.048435010100179844, 0.2210426691008058, 0.1415569702277277, 0.07280757040419478, 0.0319221864177033, 0.17930145329855224, 0.1784380943851268, 0.08523897353084163, -0.22343319829830782, 0.04267014258917659, 0.02251527144851044] |
711.0536 | Detection of strong activity in the eclipsing binary brown dwarf
2MASSJ05352184-0546085 - A possible explanation for the temperature reversal | We show high resolution spectra of the eclipsing brown dwarf binary
2MASSJ05352184-0546085 taken at the two opposite radial velocity maxima.
Comparisons of the TiO bands to model and template spectra are fully consistent
with the temperatures previously derived for this system. In particular, the
reversal of temperatures with mass - in which the higher-mass primary is cooler
than its companion - is confirmed. We measure the projected rotation velocities
of the compononents; the primary is rotating at least twice as rapidly as the
secondary. At the two radial velocity maxima, Halpha emission lines of both
components stick out to either sides of the Halpha central wavelength, which is
dominated by nebula emission. This enables us to model the individual Halpha
lines of the primary and the secondary. We find that the Halpha emission from
the primary is at least 7 times stronger than the emission from the secondary.
We conclude that the temperature reversal is very likely due to strong magnetic
fields inhibiting convection on the primary.
| astro-ph | we show high resolution spectra of the eclipsing brown dwarf binary 2massj053521840546085 taken at the two opposite radial velocity maxima comparisons of the tio bands to model and template spectra are fully consistent with the temperatures previously derived for this system in particular the reversal of temperatures with mass in which the highermass primary is cooler than its companion is confirmed we measure the projected rotation velocities of the compononents the primary is rotating at least twice as rapidly as the secondary at the two radial velocity maxima halpha emission lines of both components stick out to either sides of the halpha central wavelength which is dominated by nebula emission this enables us to model the individual halpha lines of the primary and the secondary we find that the halpha emission from the primary is at least 7 times stronger than the emission from the secondary we conclude that the temperature reversal is very likely due to strong magnetic fields inhibiting convection on the primary | [['we', 'show', 'high', 'resolution', 'spectra', 'of', 'the', 'eclipsing', 'brown', 'dwarf', 'binary', '2massj053521840546085', 'taken', 'at', 'the', 'two', 'opposite', 'radial', 'velocity', 'maxima', 'comparisons', 'of', 'the', 'tio', 'bands', 'to', 'model', 'and', 'template', 'spectra', 'are', 'fully', 'consistent', 'with', 'the', 'temperatures', 'previously', 'derived', 'for', 'this', 'system', 'in', 'particular', 'the', 'reversal', 'of', 'temperatures', 'with', 'mass', 'in', 'which', 'the', 'highermass', 'primary', 'is', 'cooler', 'than', 'its', 'companion', 'is', 'confirmed', 'we', 'measure', 'the', 'projected', 'rotation', 'velocities', 'of', 'the', 'compononents', 'the', 'primary', 'is', 'rotating', 'at', 'least', 'twice', 'as', 'rapidly', 'as', 'the', 'secondary', 'at', 'the', 'two', 'radial', 'velocity', 'maxima', 'halpha', 'emission', 'lines', 'of', 'both', 'components', 'stick', 'out', 'to', 'either', 'sides', 'of', 'the', 'halpha', 'central', 'wavelength', 'which', 'is', 'dominated', 'by', 'nebula', 'emission', 'this', 'enables', 'us', 'to', 'model', 'the', 'individual', 'halpha', 'lines', 'of', 'the', 'primary', 'and', 'the', 'secondary', 'we', 'find', 'that', 'the', 'halpha', 'emission', 'from', 'the', 'primary', 'is', 'at', 'least', '7', 'times', 'stronger', 'than', 'the', 'emission', 'from', 'the', 'secondary', 'we', 'conclude', 'that', 'the', 'temperature', 'reversal', 'is', 'very', 'likely', 'due', 'to', 'strong', 'magnetic', 'fields', 'inhibiting', 'convection', 'on', 'the', 'primary']] | [-0.09968647166395252, 0.13571072107915155, -0.053148673275954156, 0.06611665904213405, -0.056136300284529754, -0.11709176766988964, 0.007563329947415305, 0.4145750569328209, -0.2093112853647101, -0.30020588200733617, 0.052956640554672, -0.29923890425646504, -0.02056104332162924, 0.1831665703701141, -0.009912966316325898, -0.05956381813164492, 0.043154309248048923, 0.0007356734756391747, -0.04484570292938798, -0.20081132418401768, 0.29982526923752634, 0.0896105719573133, 0.1859789046850284, 0.015309885144233704, 0.02978521661170147, -0.0638816564135322, -0.0465826152172511, -0.0069591391751645535, -0.1049152410456495, 0.050705331012012404, 0.17035993393739127, 0.07422484414926245, 0.19247197383511927, -0.35057696748090666, -0.19857834733199853, 0.048827161523942016, 0.1775017056922697, 0.060213429634773566, 0.004801559738352027, -0.2397944449798484, 0.08955555677591064, -0.12218886984660765, -0.17140975771928949, 0.0754357443749619, 0.049368227372428776, 0.030641088776427544, -0.24743037017210862, 0.11206292679699058, 0.05788598683779842, 0.12899482076519106, -0.11510653875588205, -0.1263602709824768, -0.12928238817336368, 0.09097977142003964, 0.08341499511866711, 0.051744362360803535, 0.13863195889155192, -0.09637494694064457, -0.017590908217958053, 0.3867018910501998, -0.10788990633417224, -0.011901443909876552, 0.27628731633896475, -0.23446952887922182, -0.12612865254442934, 0.22753841726888224, 0.12419305063578431, 0.13520604216756493, -0.14376927463286357, -0.054728307139179866, -0.021881711900668458, 0.18939487450967538, 0.07376509787446242, 0.037669132120815886, 0.3450355569837741, 0.08048172487446643, 0.06257438887744689, 0.11252370339666888, -0.2608529427445899, -0.03780479795168057, -0.25014824637331845, -0.10850194473665185, -0.1433186718531273, 0.03407367270302736, -0.07418713491803544, -0.10608157582946716, 0.37918396164703133, 0.11094488584910708, 0.21902768343202828, 0.03904897370661375, 0.3540324457489708, 0.15103065377198435, 0.13378449140096574, 0.1117528865936618, 0.3111493431911604, 0.1934828353885767, 0.11448595097197072, -0.2777051740066017, 0.04982369508240029, 0.008658234492812786] |
711.0537 | A new wavelet-based approach for the automated treatment of large sets
of lunar occultation data | The introduction of infrared arrays for lunar occultations (LO) work and the
improvement of predictions based on new deep IR catalogues have resulted in a
large increase in the number of observable occultations.
We provide the means for an automated reduction of large sets of LO data.
This frees the user from the tedious task of estimating first-guess parameters
for the fit of each LO lightcurve. At the end of the process, ready-made plots
and statistics enable the user to identify sources which appear to be resolved
or binary and to initiate their detailed interactive analysis.
The pipeline is tailored to array data, including the extraction of the
lightcurves from FITS cubes. Because of its robustness and efficiency, the
wavelet transform has been chosen to compute the initial guess of the
parameters of the lightcurve fit.
We illustrate and discuss our automatic reduction pipeline by analyzing a
large volume of novel occultation data recorded at Calar Alto Observatory. The
automated pipeline package is available from the authors.
| astro-ph | the introduction of infrared arrays for lunar occultations lo work and the improvement of predictions based on new deep ir catalogues have resulted in a large increase in the number of observable occultations we provide the means for an automated reduction of large sets of lo data this frees the user from the tedious task of estimating firstguess parameters for the fit of each lo lightcurve at the end of the process readymade plots and statistics enable the user to identify sources which appear to be resolved or binary and to initiate their detailed interactive analysis the pipeline is tailored to array data including the extraction of the lightcurves from fits cubes because of its robustness and efficiency the wavelet transform has been chosen to compute the initial guess of the parameters of the lightcurve fit we illustrate and discuss our automatic reduction pipeline by analyzing a large volume of novel occultation data recorded at calar alto observatory the automated pipeline package is available from the authors | [['the', 'introduction', 'of', 'infrared', 'arrays', 'for', 'lunar', 'occultations', 'lo', 'work', 'and', 'the', 'improvement', 'of', 'predictions', 'based', 'on', 'new', 'deep', 'ir', 'catalogues', 'have', 'resulted', 'in', 'a', 'large', 'increase', 'in', 'the', 'number', 'of', 'observable', 'occultations', 'we', 'provide', 'the', 'means', 'for', 'an', 'automated', 'reduction', 'of', 'large', 'sets', 'of', 'lo', 'data', 'this', 'frees', 'the', 'user', 'from', 'the', 'tedious', 'task', 'of', 'estimating', 'firstguess', 'parameters', 'for', 'the', 'fit', 'of', 'each', 'lo', 'lightcurve', 'at', 'the', 'end', 'of', 'the', 'process', 'readymade', 'plots', 'and', 'statistics', 'enable', 'the', 'user', 'to', 'identify', 'sources', 'which', 'appear', 'to', 'be', 'resolved', 'or', 'binary', 'and', 'to', 'initiate', 'their', 'detailed', 'interactive', 'analysis', 'the', 'pipeline', 'is', 'tailored', 'to', 'array', 'data', 'including', 'the', 'extraction', 'of', 'the', 'lightcurves', 'from', 'fits', 'cubes', 'because', 'of', 'its', 'robustness', 'and', 'efficiency', 'the', 'wavelet', 'transform', 'has', 'been', 'chosen', 'to', 'compute', 'the', 'initial', 'guess', 'of', 'the', 'parameters', 'of', 'the', 'lightcurve', 'fit', 'we', 'illustrate', 'and', 'discuss', 'our', 'automatic', 'reduction', 'pipeline', 'by', 'analyzing', 'a', 'large', 'volume', 'of', 'novel', 'occultation', 'data', 'recorded', 'at', 'calar', 'alto', 'observatory', 'the', 'automated', 'pipeline', 'package', 'is', 'available', 'from', 'the', 'authors']] | [-0.050892648665815825, 0.027597517744009942, -0.12533810291952358, 0.06906498494545357, -0.10735761134433532, -0.0835188568157038, 0.05512485298199836, 0.37591498171141047, -0.2158062744099357, -0.37717711451758973, 0.14322654925660414, -0.30350850954718755, -0.08622670571792392, 0.23143529129238286, -0.07943201341671859, 0.06903006372942651, 0.13903862533220898, -0.052998183706244116, -0.05136873186942369, -0.2520672774651997, 0.2648202140430758, 0.11112262857753734, 0.2663462432491744, -0.01023013317332921, 0.09232973842393652, 0.03158275924433402, -0.165425620786288, -0.05316202605664618, -0.12179376379570026, 0.14098278409174037, 0.2681685486629962, 0.177665726991348, 0.20460753196998205, -0.3787553021056901, -0.15924477752320423, 0.05293819024143908, 0.13060549655538833, 0.08506650815531054, -0.016893260628486912, -0.2913612579281336, 0.06268883170490293, -0.17065399869562622, -0.126764645325968, -0.0800604541914281, 0.007261309090968288, 0.03282835022239628, -0.2800798393551729, 0.018660117515145305, -0.013883703418946016, 0.13105591049719, -0.049065798643948916, -0.11432537427562439, -0.030025167838937997, 0.18401291487532148, 0.025005281211154445, 0.03250899895869508, 0.09854979792743654, -0.10473214495163076, -0.0782102033353695, 0.350989528351692, -0.06141874351410452, -0.07057583441366692, 0.1632176716184567, -0.11781388023187836, -0.17347781042969915, 0.1847369708371778, 0.2344658700226455, 0.08902787946828244, -0.19208074625983032, 0.04724708879415314, 0.02627697747624563, 0.21008081882801688, 0.06578146439313354, 0.024577419234517804, 0.2300436735309348, 0.18248764201329498, 0.008481348286491601, 0.1457496100418342, -0.1890338372232108, -0.002811597437112631, -0.2741703625411509, -0.11766692412693701, -0.190752631513413, -0.015843141393897732, -0.09042944959223669, -0.16513137522391963, 0.4060192078485817, 0.19429263868229743, 0.18731815261978232, 0.047253803803842004, 0.33295519657789946, 0.08826218636408113, 0.10877970467749593, 0.04214239490468021, 0.24127727027558638, 0.03745264826136122, 0.12388984290436802, -0.219536954648134, 0.0516420563506548, 0.027813967596181852] |
711.0538 | Spreadsheet Engineering: A Research Framework | Spreadsheet engineering adapts the lessons of software engineering to
spreadsheets, providing eight principles as a framework for organizing
spreadsheet programming recommendations. Spreadsheets raise issues inadequately
addressed by software engineering. Spreadsheets are a powerful modeling
language, allowing strategic rapid model change, and enabling exploratory
modeling. Spreadsheets users learn slowly with experience because they focus on
the problem domain not programming. The heterogeneity of spreadsheet users
requires a taxonomy to guide recommendations. Deployment of best practices is
difficult and merits research.
| cs.SE | spreadsheet engineering adapts the lessons of software engineering to spreadsheets providing eight principles as a framework for organizing spreadsheet programming recommendations spreadsheets raise issues inadequately addressed by software engineering spreadsheets are a powerful modeling language allowing strategic rapid model change and enabling exploratory modeling spreadsheets users learn slowly with experience because they focus on the problem domain not programming the heterogeneity of spreadsheet users requires a taxonomy to guide recommendations deployment of best practices is difficult and merits research | [['spreadsheet', 'engineering', 'adapts', 'the', 'lessons', 'of', 'software', 'engineering', 'to', 'spreadsheets', 'providing', 'eight', 'principles', 'as', 'a', 'framework', 'for', 'organizing', 'spreadsheet', 'programming', 'recommendations', 'spreadsheets', 'raise', 'issues', 'inadequately', 'addressed', 'by', 'software', 'engineering', 'spreadsheets', 'are', 'a', 'powerful', 'modeling', 'language', 'allowing', 'strategic', 'rapid', 'model', 'change', 'and', 'enabling', 'exploratory', 'modeling', 'spreadsheets', 'users', 'learn', 'slowly', 'with', 'experience', 'because', 'they', 'focus', 'on', 'the', 'problem', 'domain', 'not', 'programming', 'the', 'heterogeneity', 'of', 'spreadsheet', 'users', 'requires', 'a', 'taxonomy', 'to', 'guide', 'recommendations', 'deployment', 'of', 'best', 'practices', 'is', 'difficult', 'and', 'merits', 'research']] | [-0.07455281113109351, -0.004349045809122581, -0.038600188432426394, 0.12159168426849278, -0.2855457998222754, -0.22585750200278773, 0.12283880867563554, 0.4432370219426819, -0.27079289361740216, -0.409591890741847, 0.1162608081380589, -0.2520445320354421, -0.17282003978903912, 0.19871885261993524, -0.15903024670750468, 0.09441960368694478, 0.11951559632309253, -0.10605801753935558, -0.0169677306762366, -0.2910318205227392, 0.2732231999818188, 0.08389519449747816, 0.37340844843442306, 0.05739722174556949, -0.024672364580291737, 0.008038381709941204, -0.1100893966924352, -0.0773294741240672, -0.06217994264480245, 0.21229732812152396, 0.5376254581858085, 0.34361938355914967, 0.4993929382696559, -0.45480304515531544, -0.16225865799226338, -0.05301110249578576, 0.13796961474338476, 0.07071636203982973, -0.02839490106105333, -0.3478225160248672, 0.0023552245501711777, -0.25862127358588993, -0.10882724720772498, -0.15698967335297714, -0.030760227902969228, -0.03793410116311493, -0.2012441670566302, -0.1265157434641372, 0.060773043156471813, 0.19350614378676761, -0.026015664349145054, -0.13137213727223535, 0.020800277596646096, 0.22440216422104572, 0.11961782745622052, -0.003914807622521361, 0.26891816881355607, -0.14049031898155337, -0.148822127511324, 0.4370481504386739, 0.11614764932118639, -0.19609562204738112, 0.18248753794586828, 0.025390041644295938, -0.19339789077050135, 0.05617899597398465, 0.26148332052575307, 0.013872333472193797, -0.259568941744068, 0.06007773655354741, 0.10514546707979863, 0.2315057470828672, 0.020778847898834066, -0.06280331212225594, 0.2873184369535103, 0.269078816293114, 0.01832797026403154, 0.08633889683486917, 0.09215565383894063, -0.10664702280677997, -0.1809505481697336, -0.10888481266277877, -0.08985478706146544, -0.030015485287353667, -0.08250346566407493, -0.19119465105545771, 0.3834571834164377, 0.2471513335528206, -0.002388451602074164, 0.05210662366751628, 0.3456456394088042, -0.0003524556228466615, 0.12302554777198577, 0.1022002975356211, 0.1049779569022829, -0.0328687240304779, 0.24577873693543334, -0.10622452452330838, 0.1966680350265454, -0.03980638268934209] |
711.0539 | A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with
Corners Along a Hypersurface | In this paper we take an approach similar to that in [M] to establish a
positive mass theorem for asymptotically hyperbolic spin manifolds admitting
corners along a hypersurface. The main analysis uses an integral representation
of a solution to a perturbed eigenfunction equation to obtain an asymptotic
expansion of the solution in the right order. This allows us to understand the
change of the mass aspect of a conformal change of asymptotically hyperbolic
metrics.
| math-ph math.MP | in this paper we take an approach similar to that in m to establish a positive mass theorem for asymptotically hyperbolic spin manifolds admitting corners along a hypersurface the main analysis uses an integral representation of a solution to a perturbed eigenfunction equation to obtain an asymptotic expansion of the solution in the right order this allows us to understand the change of the mass aspect of a conformal change of asymptotically hyperbolic metrics | [['in', 'this', 'paper', 'we', 'take', 'an', 'approach', 'similar', 'to', 'that', 'in', 'm', 'to', 'establish', 'a', 'positive', 'mass', 'theorem', 'for', 'asymptotically', 'hyperbolic', 'spin', 'manifolds', 'admitting', 'corners', 'along', 'a', 'hypersurface', 'the', 'main', 'analysis', 'uses', 'an', 'integral', 'representation', 'of', 'a', 'solution', 'to', 'a', 'perturbed', 'eigenfunction', 'equation', 'to', 'obtain', 'an', 'asymptotic', 'expansion', 'of', 'the', 'solution', 'in', 'the', 'right', 'order', 'this', 'allows', 'us', 'to', 'understand', 'the', 'change', 'of', 'the', 'mass', 'aspect', 'of', 'a', 'conformal', 'change', 'of', 'asymptotically', 'hyperbolic', 'metrics']] | [-0.15678844366826722, 0.016624366221721348, -0.15535179270129348, 0.05711215386179754, -0.11925665318110101, -0.09528666946760102, -0.0057794203890512725, 0.3012271648071505, -0.2333847526460886, -0.23497333619240168, 0.09618226431996084, -0.30055894814703044, -0.14125899598002434, 0.1521959518415954, -0.11402044596301543, 0.02421383768307498, 0.030571820887711806, 0.11057839993186094, -0.1200804639941182, -0.20520202883494063, 0.36814522317837217, 0.016329136022643465, 0.23119670288586938, 0.06277658074238412, 0.1663310978360273, -0.020317973097081523, 0.013120755112755138, -0.006369235277226245, -0.1928896432199926, 0.13579631806980516, 0.2528291194624192, 0.04640951996820199, 0.2577192856288339, -0.36363041491524595, -0.13573988919725288, 0.12559188402106836, 0.19885625398239573, 0.07853237710691788, -0.02959238558793692, -0.2628353456337307, 0.08437680062913411, -0.13386617077363505, -0.27847898171308477, -0.0693386285439939, -0.004331164011681402, -0.060167624464107526, -0.29890891722390883, 0.03879309188247331, 0.12760657192887487, -0.011391498286881158, -0.10938834228530854, -0.02380473812966532, -0.00016118446364998817, 0.13213246578124124, 0.09527416970278765, 0.044119229695973664, 0.047965672307622595, -0.05474618918850791, -0.0730421325267368, 0.327331888470547, -0.10011239091368593, -0.28354332163124474, 0.11523165554437484, -0.16302829638526245, -0.14628035850772583, 0.1335745827496253, 0.20187728059150883, 0.17251893509229696, -0.13553427359265452, 0.11552549752633313, -0.03911806416471262, 0.13954188576521906, 0.10189763237911, -0.03017825907020754, 0.17265588441561605, 0.14546106926895477, 0.16942217518462221, 0.13562666342870608, -0.0023419287345195945, -0.09800557548658469, -0.3198869580251945, -0.25481627138985974, -0.16102250474127563, 0.14675098890930294, -0.16484235981605141, -0.2587372281815152, 0.40513244573328944, 0.11361126328808274, 0.2250883685852829, 0.10733196214848273, 0.24323919108389197, 0.13171569009569498, 0.0334945227824957, 0.09079213799103289, 0.1915427805050402, 0.18570901241430357, 0.09548743671857172, -0.20130635168705438, -0.02892592444550246, 0.13646311190835125] |
711.054 | Umkehr Maps | In this note we study umkehr maps in generalized (co)homology theories
arising from the Pontrjagin-Thom construction, from integrating along fibers,
pushforward homomorphisms, and other similar constructions. We consider the
basic properties of these constructions and develop axioms which any umkehr
homomorphism must satisfy. We use a version of Brown representability to show
that these axioms completely characterize these homomorphisms, and a resulting
uniqueness theorem follows. Finally, motivated by constructions in string
topology, we extend this axiomatic treatment of umkehr homomorphisms to a
fiberwise setting.
| math.AT | in this note we study umkehr maps in generalized cohomology theories arising from the pontrjaginthom construction from integrating along fibers pushforward homomorphisms and other similar constructions we consider the basic properties of these constructions and develop axioms which any umkehr homomorphism must satisfy we use a version of brown representability to show that these axioms completely characterize these homomorphisms and a resulting uniqueness theorem follows finally motivated by constructions in string topology we extend this axiomatic treatment of umkehr homomorphisms to a fiberwise setting | [['in', 'this', 'note', 'we', 'study', 'umkehr', 'maps', 'in', 'generalized', 'cohomology', 'theories', 'arising', 'from', 'the', 'pontrjaginthom', 'construction', 'from', 'integrating', 'along', 'fibers', 'pushforward', 'homomorphisms', 'and', 'other', 'similar', 'constructions', 'we', 'consider', 'the', 'basic', 'properties', 'of', 'these', 'constructions', 'and', 'develop', 'axioms', 'which', 'any', 'umkehr', 'homomorphism', 'must', 'satisfy', 'we', 'use', 'a', 'version', 'of', 'brown', 'representability', 'to', 'show', 'that', 'these', 'axioms', 'completely', 'characterize', 'these', 'homomorphisms', 'and', 'a', 'resulting', 'uniqueness', 'theorem', 'follows', 'finally', 'motivated', 'by', 'constructions', 'in', 'string', 'topology', 'we', 'extend', 'this', 'axiomatic', 'treatment', 'of', 'umkehr', 'homomorphisms', 'to', 'a', 'fiberwise', 'setting']] | [-0.1291625089943409, 0.07252294991520189, -0.13440874416292423, 0.12120520229551143, -0.1029333725926422, -0.13913572585720213, 0.03068463856609361, 0.32570524651202415, -0.38285235029512216, -0.2162472726333709, 0.08535312700024363, -0.22210858007227735, -0.21134368278684892, 0.1509880345048649, -0.24316050034914433, -0.0202054344727436, 0.06356163722618173, -0.004418740292922372, -0.1493932312282379, -0.23340683123179978, 0.4316451640056801, -0.03654710365974877, 0.2166952361308393, 0.054351991352935634, 0.08341190676271383, 0.026349922941465462, -0.07767541876195797, 0.03738212498969266, -0.2834616325317689, 0.14668007705005862, 0.3095955115609935, 0.13385071174430085, 0.17098624111540198, -0.3962119859865024, -0.14912755547023457, 0.16974087066150137, 0.05620679433368856, 0.06820478919481891, -0.0019349792717202078, -0.2837965107589428, 0.12280552039599224, -0.17125553878334662, -0.11882912734013405, -0.12191745182055802, -0.03585886854367951, 0.04214512953434938, -0.21259585698135197, -0.04932672807314832, 0.17689354658969456, 0.10916400538934838, -0.10338879421830088, -0.0326231855960075, -0.010251132510824218, 0.06901760520746134, -0.016445694309714737, 0.0026507440128452366, 0.1311786975323533, -0.0756162860835459, -0.19312680615777417, 0.33605095631043824, -0.0577257306272042, -0.19374723311713232, 0.1665858629996711, -0.0916525084480998, -0.27069463318635134, 0.04300647308229513, 0.0509273166202807, 0.13688450668095833, -0.09699955929092885, 0.18705029807183782, -0.13481943851469883, 0.05945740812014611, 0.15479496815463617, 0.06955692075037707, 0.15855121903032773, 0.030780735712878163, 0.07249588103565786, 0.2123721558940209, 0.06893159176910385, -0.08522165374874714, -0.37499332469001057, -0.1416174831825802, -0.05196279496885836, 0.1815405638716627, -0.05953831613078364, -0.15451390051194244, 0.3770588604162358, 0.1563535032466808, 0.1612037749672752, 0.19512209738743314, 0.24354487265061056, 0.0435938363495682, 0.06380175540800251, 0.03857277395824591, 0.1302910680879861, 0.2549486258372088, 0.009546129594257633, -0.06385025962455464, -0.07375880983281172, 0.2473104759230323] |
711.0541 | Dynamical Implications of Viral Tiling Theory | The Caspar-Klug classification of viruses whose protein shell, called viral
capsid, exhibits icosahedral symmetry, has recently been extended to
incorporate viruses whose capsid proteins are exclusively organised in
pentamers. The approach, named `Viral Tiling Theory', is inspired by the theory
of quasicrystals, where aperiodic Penrose tilings enjoy 5-fold and 10-fold
local symmetries. This paper analyzes the extent to which this classification
approach informs dynamical properties of the viral capsids, in particular the
pattern of Raman active modes of vibrations, which can be observed
experimentally.
| q-bio.BM | the casparklug classification of viruses whose protein shell called viral capsid exhibits icosahedral symmetry has recently been extended to incorporate viruses whose capsid proteins are exclusively organised in pentamers the approach named viral tiling theory is inspired by the theory of quasicrystals where aperiodic penrose tilings enjoy 5fold and 10fold local symmetries this paper analyzes the extent to which this classification approach informs dynamical properties of the viral capsids in particular the pattern of raman active modes of vibrations which can be observed experimentally | [['the', 'casparklug', 'classification', 'of', 'viruses', 'whose', 'protein', 'shell', 'called', 'viral', 'capsid', 'exhibits', 'icosahedral', 'symmetry', 'has', 'recently', 'been', 'extended', 'to', 'incorporate', 'viruses', 'whose', 'capsid', 'proteins', 'are', 'exclusively', 'organised', 'in', 'pentamers', 'the', 'approach', 'named', 'viral', 'tiling', 'theory', 'is', 'inspired', 'by', 'the', 'theory', 'of', 'quasicrystals', 'where', 'aperiodic', 'penrose', 'tilings', 'enjoy', '5fold', 'and', '10fold', 'local', 'symmetries', 'this', 'paper', 'analyzes', 'the', 'extent', 'to', 'which', 'this', 'classification', 'approach', 'informs', 'dynamical', 'properties', 'of', 'the', 'viral', 'capsids', 'in', 'particular', 'the', 'pattern', 'of', 'raman', 'active', 'modes', 'of', 'vibrations', 'which', 'can', 'be', 'observed', 'experimentally']] | [-0.10285600172799259, 0.17958155559331535, -0.08278012127127676, 0.0559303021759011, -0.06546846198450242, -0.15325924005134897, 0.031726211931700596, 0.3813703563064337, -0.2810560055077076, -0.24716151350488266, 0.0827846617210612, -0.26820753714335815, -0.30289525446105037, 0.045141980002102046, -0.07600073048490144, 0.010723642461622754, 0.0028822224565027725, 0.04044154349581471, 0.057945699974273644, -0.26210405943649157, 0.1992493221935417, 0.07311288369376034, 0.3228424781603583, 0.034139297372478596, 0.0795091971026739, -0.0056115810418434975, -0.008264605133306412, 0.008561707201546856, -0.19707273146958046, 0.151542033789502, 0.2569470835927253, 0.10082590905117936, 0.1977197587312687, -0.4330085858458742, -0.2602149988857231, 0.10767831399460279, 0.22859775980690583, 0.1772706476705415, -0.05312966104386197, -0.2900046355401476, 0.11876073466902155, -0.150594194353159, -0.1481976204917633, -0.10670350310170934, 0.019381832632158574, 0.027837194435830628, -0.15847244914177627, 0.11411148551408024, 0.11128071467551524, 0.11769287999985474, -0.08519970438820088, -0.053858953760936856, -0.09734532347924653, 0.08983567996793204, 0.10364390151586295, -0.0336798610598115, 0.2156201075233098, -0.03770213789262232, -0.1808884227412775, 0.43225626435707365, 0.08978027793429126, -0.1573741181803468, 0.1724160321173258, -0.0840460663228961, -0.19404214917172102, 0.20891264058272577, 0.16442620054641294, 0.09482566660292269, -0.1893944759531656, 0.08267143784143541, -0.063424233394298, 0.18837003351100498, 0.14540921069315768, -0.010640281829096022, 0.21744585870986893, 0.23508695731704524, -0.021797321772845907, 0.17481874295238717, -0.05861633274859438, -0.13383921642699056, -0.1389526730913314, -0.11684876073212806, -0.15000952222561909, 0.013154625159499812, -0.06240350189268827, -0.24401005263817274, 0.4061733561878403, 0.0005605282938285243, 0.14232182500529147, 0.01983177450130738, 0.15682094508138972, -0.07247786007688514, 0.1401853361388757, -0.058683788597894214, 0.19199379882775247, 0.11413435500192766, 0.03140884321848197, -0.23881037434053032, 0.05464366094453171, 0.1199998852791309] |
711.0542 | Statistical Physics and Dynamical Systems: Models of Phase Transitions | This paper explores the connection between dynamical system properties and
statistical physics of ensembles of such systems. Simple models are used to
give novel phase transitions; particularly for finite N particle systems with
many physically interesting examples.
| cond-mat.stat-mech | this paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems simple models are used to give novel phase transitions particularly for finite n particle systems with many physically interesting examples | [['this', 'paper', 'explores', 'the', 'connection', 'between', 'dynamical', 'system', 'properties', 'and', 'statistical', 'physics', 'of', 'ensembles', 'of', 'such', 'systems', 'simple', 'models', 'are', 'used', 'to', 'give', 'novel', 'phase', 'transitions', 'particularly', 'for', 'finite', 'n', 'particle', 'systems', 'with', 'many', 'physically', 'interesting', 'examples']] | [-0.1496866950765252, 0.1677147493873899, -0.08342908398323767, 0.09525412422718128, -0.02274864531952787, -0.2024745792559524, 0.010110390249866288, 0.34683959910998474, -0.2779077266569476, -0.34406996860697464, 0.05914511813505276, -0.25971972012288264, -0.24042874469572828, 0.22665263781940714, -0.035459378142715305, 0.10856784469875935, 0.0392320464440697, -0.012734164490137954, -0.10701713970283398, -0.179859035975627, 0.3369729174552737, 0.02773196013593996, 0.23047130947580208, 0.0047311649431247965, 0.09787365348657241, -0.022995164938824805, 0.02341883024200797, 0.0063776711153017505, -0.15298861149396445, 0.10547769824798042, 0.28425690781364826, 0.12941561760129155, 0.21964960609487183, -0.3999152679902476, -0.25934308904500025, 0.16335522224874915, 0.1444701648417961, 0.1270562255301991, -0.09856792431123354, -0.2503528555452421, 0.0174434212212627, -0.17595777484412128, -0.12032371759414673, -0.16347867309594075, 0.04635288966567935, 0.04227198204780753, -0.21610425059004007, 0.05091912208779438, 0.06985628998419899, 0.11531288375624933, 0.02813881224121999, -0.10782689053401653, 0.09228899596712074, 0.14645311211210651, 0.002551191259880324, -0.08476890186854713, 0.09191434616474686, -0.1036310555174242, -0.14153815040717255, 0.4413382614887244, 0.038587522878613625, -0.19067720746671832, 0.35257234192780545, -0.08519645516030691, -0.20576335088274367, 0.05916084604639862, 0.22515792973540924, 0.10353477404931107, -0.19929797897065007, 0.06642644240590115, -0.00048026492869531785, 0.1412045701432067, -0.04544249338072699, 0.11930979977084978, 0.26464110084280773, 0.18147717257709922, 0.009527416646518317, 0.17558502066074996, 0.02314003456912532, -0.16671957523637526, -0.3123274446792296, -0.1367596849056615, -0.12876783784579587, 0.006666733002340472, -0.07558551465902112, -0.19418820703553186, 0.38588528959332286, 0.18601215175176794, 0.2241539812671977, 0.02788475717455652, 0.22887953058690638, 0.08665257317290918, -0.05398043046227178, 0.010411632354245396, 0.1833923084132776, 0.1978580798651721, 0.08737449151640003, -0.1724267298028477, 0.0025207069450737655, 0.0678845159206036] |
711.0543 | Conformal invariance of chiral edge theories | The low-energy effective quantum field theory of the edge excitations of a
fully-gapped bulk topological phase corresponding to a local interaction
Hamiltonian must be local and unitary. Here it is shown that whenever all the
edge excitations propagate in the same direction with the same velocity, it is
a conformal field theory. In particular, this is the case in the quantum Hall
effect for model "special Hamiltonians", for which the ground state, quasihole,
and edge excitations can be found exactly as zero-energy eigenstates, provided
the spectrum in the interior of the system is fully gapped. In addition, other
conserved quantities in the bulk, such as particle number and spin, lead to
affine Lie algebra symmetries in the edge theory. Applying the arguments to
some trial wavefunctions related to non-unitary conformal field theories, it is
argued that the Gaffnian state and an infinite number of others cannot describe
a gapped topological phase because the numbers of edge excitations do not match
any unitary conformal field theory.
| cond-mat.mes-hall hep-th | the lowenergy effective quantum field theory of the edge excitations of a fullygapped bulk topological phase corresponding to a local interaction hamiltonian must be local and unitary here it is shown that whenever all the edge excitations propagate in the same direction with the same velocity it is a conformal field theory in particular this is the case in the quantum hall effect for model special hamiltonians for which the ground state quasihole and edge excitations can be found exactly as zeroenergy eigenstates provided the spectrum in the interior of the system is fully gapped in addition other conserved quantities in the bulk such as particle number and spin lead to affine lie algebra symmetries in the edge theory applying the arguments to some trial wavefunctions related to nonunitary conformal field theories it is argued that the gaffnian state and an infinite number of others cannot describe a gapped topological phase because the numbers of edge excitations do not match any unitary conformal field theory | [['the', 'lowenergy', 'effective', 'quantum', 'field', 'theory', 'of', 'the', 'edge', 'excitations', 'of', 'a', 'fullygapped', 'bulk', 'topological', 'phase', 'corresponding', 'to', 'a', 'local', 'interaction', 'hamiltonian', 'must', 'be', 'local', 'and', 'unitary', 'here', 'it', 'is', 'shown', 'that', 'whenever', 'all', 'the', 'edge', 'excitations', 'propagate', 'in', 'the', 'same', 'direction', 'with', 'the', 'same', 'velocity', 'it', 'is', 'a', 'conformal', 'field', 'theory', 'in', 'particular', 'this', 'is', 'the', 'case', 'in', 'the', 'quantum', 'hall', 'effect', 'for', 'model', 'special', 'hamiltonians', 'for', 'which', 'the', 'ground', 'state', 'quasihole', 'and', 'edge', 'excitations', 'can', 'be', 'found', 'exactly', 'as', 'zeroenergy', 'eigenstates', 'provided', 'the', 'spectrum', 'in', 'the', 'interior', 'of', 'the', 'system', 'is', 'fully', 'gapped', 'in', 'addition', 'other', 'conserved', 'quantities', 'in', 'the', 'bulk', 'such', 'as', 'particle', 'number', 'and', 'spin', 'lead', 'to', 'affine', 'lie', 'algebra', 'symmetries', 'in', 'the', 'edge', 'theory', 'applying', 'the', 'arguments', 'to', 'some', 'trial', 'wavefunctions', 'related', 'to', 'nonunitary', 'conformal', 'field', 'theories', 'it', 'is', 'argued', 'that', 'the', 'gaffnian', 'state', 'and', 'an', 'infinite', 'number', 'of', 'others', 'can', 'not', 'describe', 'a', 'gapped', 'topological', 'phase', 'because', 'the', 'numbers', 'of', 'edge', 'excitations', 'do', 'not', 'match', 'any', 'unitary', 'conformal', 'field', 'theory']] | [-0.17330178314839567, 0.2622506799996327, -0.10860484115308128, 0.06084754735691451, -0.07813078048919518, -0.1506201610339424, -0.0023593841561015292, 0.3173183451058814, -0.2724625412374735, -0.24510396487382521, 0.05274128879165187, -0.2870813735651346, -0.16436994983674397, 0.11275381525327642, -0.010430967402981078, 0.06489870780293482, 0.0004354612789599292, 0.10618720724701837, -0.09088567197771676, -0.21202610992736756, 0.3056996434096651, -0.0014509735053898879, 0.3015689546668745, 0.05545573451848005, 0.019068152441766607, 0.0165681773446029, 0.09638162121367473, 0.044578962743349645, -0.09888569344473647, 0.03356935887552618, 0.29300273834701057, 0.0008594563780689096, 0.16746454739786057, -0.4577931313023689, -0.21474525066518999, 0.07606525130076222, 0.17626884629029826, 0.18353295253508398, -0.005430115556557584, -0.30159692637796276, 0.049716549145663716, -0.19220844070505666, -0.1799199442177203, -0.09436785942224045, 0.010257256535689784, -0.07803749988495137, -0.20541922321980707, 0.0706204067744211, 0.06740025773431253, 0.03443371501740023, -0.08228936213025184, -0.05740335023017314, -0.11490439382909112, 0.10973710437439921, 0.03434164027461827, 0.06253983423461666, 0.12056939640778105, -0.17474064382258803, -0.1473642220574779, 0.3658935114298106, -0.022635653507699405, -0.23360055993333548, 0.16719675363681044, -0.17250239541712048, -0.12203718360277813, 0.11515317206321486, 0.05843312969551904, 0.09560350031333875, -0.10305405506325593, 0.15816490596135047, -0.060912805581353154, 0.11833356768329395, 0.002624543096185718, 0.10767784314678915, 0.24757304870388863, 0.03204889105722667, 0.09999850526289364, 0.11053010838629443, -0.03618587440171515, -0.12394299343262002, -0.34460549858813905, -0.1943840754179127, -0.2591940201952189, 0.06790530558900644, -0.04332988757986564, -0.21051515680678184, 0.4447898661362916, 0.14149958175806546, 0.17131075631905662, -0.010219241218593711, 0.21074850948706988, 0.17928041734154818, 0.08780574039499982, 0.10221307194463528, 0.24084610171165144, 0.17529809856170184, 0.024637354224364846, -0.25895486954678165, -0.030588858721620708, 0.10667494088916266] |
711.0544 | Wall rational functions and Khrushchev's formula for orthogonal rational
functions | We prove that the Nevalinna-Pick algorithm provides different homeomorphisms
between certain topological spaces of measures, analytic functions and
sequences of complex numbers. This algorithm also yields a continued fraction
expansion of every Schur function, whose approximants are identified. The
approximants are quotients of rational functions which can be understood as the
rational analogs of the Wall polynomials. The properties of these Wall rational
functions and the corresponding approximants are studied. The above results
permit us to obtain a Khrushchev's formula for orthogonal rational functions.
An introduction to the convergence of the Wall approximants in the
indeterminate case is also presented.
| math.CA | we prove that the nevalinnapick algorithm provides different homeomorphisms between certain topological spaces of measures analytic functions and sequences of complex numbers this algorithm also yields a continued fraction expansion of every schur function whose approximants are identified the approximants are quotients of rational functions which can be understood as the rational analogs of the wall polynomials the properties of these wall rational functions and the corresponding approximants are studied the above results permit us to obtain a khrushchevs formula for orthogonal rational functions an introduction to the convergence of the wall approximants in the indeterminate case is also presented | [['we', 'prove', 'that', 'the', 'nevalinnapick', 'algorithm', 'provides', 'different', 'homeomorphisms', 'between', 'certain', 'topological', 'spaces', 'of', 'measures', 'analytic', 'functions', 'and', 'sequences', 'of', 'complex', 'numbers', 'this', 'algorithm', 'also', 'yields', 'a', 'continued', 'fraction', 'expansion', 'of', 'every', 'schur', 'function', 'whose', 'approximants', 'are', 'identified', 'the', 'approximants', 'are', 'quotients', 'of', 'rational', 'functions', 'which', 'can', 'be', 'understood', 'as', 'the', 'rational', 'analogs', 'of', 'the', 'wall', 'polynomials', 'the', 'properties', 'of', 'these', 'wall', 'rational', 'functions', 'and', 'the', 'corresponding', 'approximants', 'are', 'studied', 'the', 'above', 'results', 'permit', 'us', 'to', 'obtain', 'a', 'khrushchevs', 'formula', 'for', 'orthogonal', 'rational', 'functions', 'an', 'introduction', 'to', 'the', 'convergence', 'of', 'the', 'wall', 'approximants', 'in', 'the', 'indeterminate', 'case', 'is', 'also', 'presented']] | [-0.1711888899650387, 0.05709338081413245, -0.1515079384876622, 0.12168404211130257, -0.07139990382329231, -0.06562654845736395, 0.05080977824135599, 0.34245106082108584, -0.30893170226581695, -0.1874086737839712, 0.11036822565647801, -0.24629503654109108, -0.19734823963289724, 0.232758730155477, -0.059416681434018445, 0.06841022235863475, -0.008274975169280713, 0.01662302188895116, -0.13936603075420165, -0.27108985071794856, 0.2966643451816506, -0.014759117709190556, 0.20058585932911044, 0.05375882508844664, 0.08101476408127281, -0.03014787509943349, -0.03239770277845438, -0.03987673297994817, -0.18142431649190405, 0.11984008538884798, 0.2668707785102529, 0.10611894251449466, 0.22253176624971358, -0.3595500773208738, -0.09967519721072732, 0.1726932004776153, 0.19091967325375386, 0.01826808103383754, -0.004058513153024545, -0.22594088054205658, 0.08250008901637612, -0.15514047313105278, -0.22210979748592533, -0.14910854534669357, 0.013847847723148086, 0.15704109096391636, -0.2958486236518983, 0.038633088547750515, 0.05713898212545448, 0.07144308484846143, -0.07804994743624279, -0.1309246489110243, -0.015804968764911397, 0.11797768599118548, 0.041290318355848545, 0.06937495923384723, 0.09000805076246968, -0.08868940922224687, -0.13311277694924914, 0.35921894326204, 0.012381578842648353, -0.29967743734067137, 0.15627160842408133, -0.21689346269939583, -0.12628576643247572, 0.16164184694244255, 0.11172099673951214, 0.16645925645387233, -0.07273314972267006, 0.1114785698785757, -0.09177335027153745, 0.08379883001055193, 0.1352698411933626, 0.01727837042393859, 0.17125667390799282, 0.034505586704295696, 0.03243860291467622, 0.18178081338533736, 0.054098922876885745, -0.0779791807566506, -0.31750577906466493, -0.1540896650497811, -0.17603872085197103, 0.060236722917644064, -0.15403696330648733, -0.26751563505674103, 0.40169789344824924, 0.05076152877882123, 0.17273912750269202, 0.1398115512183538, 0.24088270662968622, 0.16260841368659953, 0.05030418404041686, -0.010729987771636007, 0.17921630957286167, 0.16913253585619833, 0.025048927261701062, -0.13398799209178172, 0.03889356821192184, 0.21108717912093106] |
711.0545 | The Arecibo Legacy Fast ALFA Survey: V. HI Source Catalog of the
Anti-Virgo Region at dec=27 degrees | We present a second catalog of HI sources detected in the Arecibo Legacy Fast
ALFA Survey. We report 488 detections over 135 square degrees, within the
region of the sky having 22h<RA<03h and +26deg<Dec<+28deg. We present here the
detections that have either (a) S/N>6.5, where the reliability of the catalog
is better than 95% or (b) 5.0<S/N<6.5 and a previously measured redshift that
corroborates our detection. Of the 488 objects presented here, 49 are High
Velocity Clouds or clumps thereof with negative heliocentric recession
velocities. These clouds are mostly very compact and isolated, while some of
them are associated with large features such as Wright's Cloud or the northern
extension of the Magellanic Stream. The remaining 439 candidate detections are
identified as extragalactic objects and have all been matched with optical
counterparts. Five of the six galaxies detected with M(HI)<10^7.5 solar masses
are satellites of either the NGC672/IC1727 nearby galaxy pair or their
neighboring dwarf irregular galaxy NGC784. The data of this catalog release
include a slice through the Pisces-Perseus foreground void, a large nearby
underdensity of galaxies. We report no detections within the void, where our
catalog is complete for systems with HI masses of 10^8 solar masses. Gas-rich,
optically-dark galaxies do not seem to constitute an important void population,
and therefore do not suffice at producing a viable solution to the void
phenomenon.
| astro-ph | we present a second catalog of hi sources detected in the arecibo legacy fast alfa survey we report 488 detections over 135 square degrees within the region of the sky having 22hra03h and 26degdec28deg we present here the detections that have either a sn65 where the reliability of the catalog is better than 95 or b 50sn65 and a previously measured redshift that corroborates our detection of the 488 objects presented here 49 are high velocity clouds or clumps thereof with negative heliocentric recession velocities these clouds are mostly very compact and isolated while some of them are associated with large features such as wrights cloud or the northern extension of the magellanic stream the remaining 439 candidate detections are identified as extragalactic objects and have all been matched with optical counterparts five of the six galaxies detected with mhi1075 solar masses are satellites of either the ngc672ic1727 nearby galaxy pair or their neighboring dwarf irregular galaxy ngc784 the data of this catalog release include a slice through the piscesperseus foreground void a large nearby underdensity of galaxies we report no detections within the void where our catalog is complete for systems with hi masses of 108 solar masses gasrich opticallydark galaxies do not seem to constitute an important void population and therefore do not suffice at producing a viable solution to the void phenomenon | [['we', 'present', 'a', 'second', 'catalog', 'of', 'hi', 'sources', 'detected', 'in', 'the', 'arecibo', 'legacy', 'fast', 'alfa', 'survey', 'we', 'report', '488', 'detections', 'over', '135', 'square', 'degrees', 'within', 'the', 'region', 'of', 'the', 'sky', 'having', '22hra03h', 'and', '26degdec28deg', 'we', 'present', 'here', 'the', 'detections', 'that', 'have', 'either', 'a', 'sn65', 'where', 'the', 'reliability', 'of', 'the', 'catalog', 'is', 'better', 'than', '95', 'or', 'b', '50sn65', 'and', 'a', 'previously', 'measured', 'redshift', 'that', 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711.0546 | The Pontrjagin-Hopf invariants for Sobolev maps | Subtle issues arise when extending homotopy invariants to spaces of functions
having little regularity, e.g., Sobolev spaces containing discontinuous
functions. Sometimes it is not possible to extend the invariant at all, and
sometimes, even when the formulas defining the invariants make sense, they may
not have expected properties (e.g., there are maps having non-integral degree).
In this paper we define a complete set of homotopy invariants for maps from
3-manifolds to the 2-sphere and show that these invariants extend to finite
Faddeev energy maps and maps in suitable Sobolev spaces. For smooth maps, our
description is proved to be equivalent to Pontrjagin's original homotopy
classification from the 1930's. We further show that for the finite energy maps
the invariants take on exactly the same values as for smooth maps. We include
applications to the Faddeev model.
The techniques that we use would also apply to many more problems and/or
other functionals. We have tried to make the paper accessible to analysts,
geometers and mathematical physicists.
| math-ph math.AP math.AT math.GT math.MP | subtle issues arise when extending homotopy invariants to spaces of functions having little regularity eg sobolev spaces containing discontinuous functions sometimes it is not possible to extend the invariant at all and sometimes even when the formulas defining the invariants make sense they may not have expected properties eg there are maps having nonintegral degree in this paper we define a complete set of homotopy invariants for maps from 3manifolds to the 2sphere and show that these invariants extend to finite faddeev energy maps and maps in suitable sobolev spaces for smooth maps our description is proved to be equivalent to pontrjagins original homotopy classification from the 1930s we further show that for the finite energy maps the invariants take on exactly the same values as for smooth maps we include applications to the faddeev model the techniques that we use would also apply to many more problems andor other functionals we have tried to make the paper accessible to analysts geometers and mathematical physicists | [['subtle', 'issues', 'arise', 'when', 'extending', 'homotopy', 'invariants', 'to', 'spaces', 'of', 'functions', 'having', 'little', 'regularity', 'eg', 'sobolev', 'spaces', 'containing', 'discontinuous', 'functions', 'sometimes', 'it', 'is', 'not', 'possible', 'to', 'extend', 'the', 'invariant', 'at', 'all', 'and', 'sometimes', 'even', 'when', 'the', 'formulas', 'defining', 'the', 'invariants', 'make', 'sense', 'they', 'may', 'not', 'have', 'expected', 'properties', 'eg', 'there', 'are', 'maps', 'having', 'nonintegral', 'degree', 'in', 'this', 'paper', 'we', 'define', 'a', 'complete', 'set', 'of', 'homotopy', 'invariants', 'for', 'maps', 'from', '3manifolds', 'to', 'the', '2sphere', 'and', 'show', 'that', 'these', 'invariants', 'extend', 'to', 'finite', 'faddeev', 'energy', 'maps', 'and', 'maps', 'in', 'suitable', 'sobolev', 'spaces', 'for', 'smooth', 'maps', 'our', 'description', 'is', 'proved', 'to', 'be', 'equivalent', 'to', 'pontrjagins', 'original', 'homotopy', 'classification', 'from', 'the', '1930s', 'we', 'further', 'show', 'that', 'for', 'the', 'finite', 'energy', 'maps', 'the', 'invariants', 'take', 'on', 'exactly', 'the', 'same', 'values', 'as', 'for', 'smooth', 'maps', 'we', 'include', 'applications', 'to', 'the', 'faddeev', 'model', 'the', 'techniques', 'that', 'we', 'use', 'would', 'also', 'apply', 'to', 'many', 'more', 'problems', 'andor', 'other', 'functionals', 'we', 'have', 'tried', 'to', 'make', 'the', 'paper', 'accessible', 'to', 'analysts', 'geometers', 'and', 'mathematical', 'physicists']] | [-0.07147373076565224, 0.06536131174155943, -0.1132549206447992, 0.15444615663088881, -0.11806029024982552, -0.14049232129018935, -0.013911897119236884, 0.38334415653697784, -0.32488075586705945, -0.25542237437557336, 0.11054449940310428, -0.2814876657254744, -0.15809001075032894, 0.21933934462637208, -0.15247478494489858, 0.046651127932131116, 0.0478811560244095, 0.026342898743545135, -0.13006700894890477, -0.27856595175576443, 0.40485568916021913, -0.017315100577500898, 0.19096635572809534, 0.08603899535529952, 0.08740067661728529, -0.030496501815278174, -0.036667732686576686, 0.03909959845534503, -0.17535724302411482, 0.12941629690027273, 0.3328056634693384, 0.09434629538346355, 0.22726633873904442, -0.4010964779285487, -0.21307802987398533, 0.20234739530558993, 0.11893781140022883, 0.09938695344494701, 0.025525622354041665, -0.2773672705856947, 0.11380543979736636, -0.11618082517576646, -0.13596663059859831, -0.17388086969163496, 0.026661050085705226, 0.033508322445857455, -0.21502027522329603, -0.023882157761474402, 0.0690641384117487, 0.07080262250880279, -0.08289346871500063, -0.09167584226603007, -0.04198107609195953, 0.15294937961685143, 0.03335933572621221, 0.04709450319755777, 0.07920133639070229, -0.11022868481459006, -0.10524206863156883, 0.39072286003700846, -0.01263370264673651, -0.2760208776765844, 0.2165904838035292, -0.13979677665160922, -0.21563611257673673, 0.12199943197079048, 0.11346729759626635, 0.12259294280481366, -0.07996038222070016, 0.12444178321506692, -0.03732598111283306, 0.11064641176518507, 0.10645793841033038, 0.0300160927368646, 0.12866777362778964, 0.02524928582893264, 0.11733263645359462, 0.12943142843035207, 0.0014647512551874105, -0.08360606309086108, -0.29978186166958837, -0.1522056203329845, -0.10794748274237485, 0.0820133311323688, -0.06569048677671917, -0.19467295036458115, 0.37236221767280525, 0.15240542727264167, 0.18327132350674308, 0.1355979440523675, 0.2516579970067208, 0.09276947339582499, 0.08685916338063401, 0.07871455005824385, 0.18553031643173976, 0.1423621083632475, 0.08048835196305157, -0.06018640634940267, 0.007686226847354413, 0.14932326981570662] |
711.0547 | High Transverse Momentum Hadron Spectra at sqrt{s_{NN}}=17.3 GeV, in
Pb+Pb and p+p Collisions | Transverse momentum spectra up to 4.5 GeV/c around midrapidity of pi^{+/-},
p, pbar, K^{+/-} in Pb+Pb reactions were measured at sqrt{s_{NN}}=17.3 GeV by
the CERN-NA49 experiment. The nuclear modification factors R_{AA} for pi^{+/-}
and R_{CP} for pi^{+/-},p,pbar,K^{+/-} were extracted and are compared to RHIC
results at sqrt{s_{NN}}=200 GeV. The modification factor R_{AA} shows a rapid
increase with transverse momentum in the covered region. This indicates that
the Cronin effect is the dominating effect in our energy range. The
modification factor R_{CP}, in which the contribution of the Cronin effect is
reduced, shows a saturation well below unity in the pi^{+/-} channel. The
extracted R_{CP} values follow the 200 GeV RHIC results closely in the
available transverse momentum range, except for pi^{+/-} above 2.5 GeV/c
transverse momentum. There the measured suppression is smaller than that
observed at RHIC.
| nucl-ex | transverse momentum spectra up to 45 gevc around midrapidity of pi p pbar k in pbpb reactions were measured at sqrts_nn173 gev by the cernna49 experiment the nuclear modification factors r_aa for pi and r_cp for pippbark were extracted and are compared to rhic results at sqrts_nn200 gev the modification factor r_aa shows a rapid increase with transverse momentum in the covered region this indicates that the cronin effect is the dominating effect in our energy range the modification factor r_cp in which the contribution of the cronin effect is reduced shows a saturation well below unity in the pi channel the extracted r_cp values follow the 200 gev rhic results closely in the available transverse momentum range except for pi above 25 gevc transverse momentum there the measured suppression is smaller than that observed at rhic | [['transverse', 'momentum', 'spectra', 'up', 'to', '45', 'gevc', 'around', 'midrapidity', 'of', 'pi', 'p', 'pbar', 'k', 'in', 'pbpb', 'reactions', 'were', 'measured', 'at', 'sqrts_nn173', 'gev', 'by', 'the', 'cernna49', 'experiment', 'the', 'nuclear', 'modification', 'factors', 'r_aa', 'for', 'pi', 'and', 'r_cp', 'for', 'pippbark', 'were', 'extracted', 'and', 'are', 'compared', 'to', 'rhic', 'results', 'at', 'sqrts_nn200', 'gev', 'the', 'modification', 'factor', 'r_aa', 'shows', 'a', 'rapid', 'increase', 'with', 'transverse', 'momentum', 'in', 'the', 'covered', 'region', 'this', 'indicates', 'that', 'the', 'cronin', 'effect', 'is', 'the', 'dominating', 'effect', 'in', 'our', 'energy', 'range', 'the', 'modification', 'factor', 'r_cp', 'in', 'which', 'the', 'contribution', 'of', 'the', 'cronin', 'effect', 'is', 'reduced', 'shows', 'a', 'saturation', 'well', 'below', 'unity', 'in', 'the', 'pi', 'channel', 'the', 'extracted', 'r_cp', 'values', 'follow', 'the', '200', 'gev', 'rhic', 'results', 'closely', 'in', 'the', 'available', 'transverse', 'momentum', 'range', 'except', 'for', 'pi', 'above', '25', 'gevc', 'transverse', 'momentum', 'there', 'the', 'measured', 'suppression', 'is', 'smaller', 'than', 'that', 'observed', 'at', 'rhic']] | [-0.06356754092051199, 0.2700372536011316, -0.1563619421319648, 0.11419353880574581, 0.01595133149789439, -0.08813502634358075, -0.053397202188218085, 0.34874529274939386, -0.21736738238897588, -0.3422023914064522, -0.1333138461517929, -0.38977726177760846, 0.12569347520324367, 0.20677270997677827, 0.06697157400086763, 0.06607627242003757, 0.10608195347573471, 0.012438329585172513, -0.06260734977097147, -0.1505853346514481, 0.2456241446805911, 0.13548165371434556, 0.25167814355895474, 0.2197876497551247, 0.03098443940764776, 0.056088300520140265, -0.0015032568877493893, 7.156604745735724e-05, -0.18031227142362494, -0.019140004087239502, 0.3227920981555211, -0.03946594312718069, 0.14853856902638518, -0.24672568674992632, -0.10413149082602036, 0.08026015379776558, 0.11333403497830861, 0.03076777226998712, -0.05270626917222722, -0.21928011435601447, 0.17074741000326835, -0.22836785068114598, -0.12707988998197295, -0.009185755708151394, 0.03259566284509169, -0.048621624199397584, -0.29431818143499117, 0.20654642069022414, 0.004345670432990624, 0.1293947888193307, -0.015959510212350224, -0.2917648542534422, -0.04313765640060107, -0.02542417517138852, 0.09115644995537069, 0.19704501123547002, 0.23927238205861714, -0.12264826999873751, -0.12198270181262935, 0.3870661455448027, 0.0010679987412273745, -0.09343619421124458, 0.07568871664892261, -0.2974112831435546, -0.09438488107105648, 0.262835523693098, 0.23400004855184645, 0.05029360467775001, -0.137405480209876, 0.001215293830157154, -0.020264455312173125, 0.20926974161907477, 0.1389091792240463, 0.024470791218940306, 0.07639536745846272, 0.16007330200841857, -0.030687247285688366, 0.07269640509168514, -0.1400346176077922, -0.07742750626919723, -0.37221485380497243, -0.029887884289578157, -0.07940551802791931, 0.09430623361840844, -0.0899357747180922, 0.06788555329182634, 0.3633486881990124, 0.028669137555967877, 0.35393943688659757, -0.02925312227345313, 0.2917847234238353, 0.09452498612226919, 0.13561980507026117, 0.15983772199531948, 0.3229400255337909, 0.1633896627066726, 0.2491622754269176, -0.2737452213514458, 0.050513818632397386, -0.020831645966541988] |
711.0548 | Neutrino Scattering on Glass: NuSOnG | These proceedings describe the physics goals and initial design for a new
experiment: NuSOnG -- Neutrino Scattering On Glass. The design will yield about
two orders of magnitude higher statistics than previous high energy neutrino
experiments, observed in a detector optimized for low hadronic energy and
electromagnetic events. As a result, the purely weak processes $\nu_{\mu}+e^-
\to \nu_{\mu}+ e^-$ and $\nu_{\mu}+ e^- \to \nu_e + \mu^-$ (inverse muon decay)
can be measured with high accuracy for the first time. This allows important
precision electroweak tests and well as direct searches for new physics. The
high statistics also will yield the world's largest sample of Deep Inelastic
(DIS) events for precision parton distribution studies.
| hep-ex | these proceedings describe the physics goals and initial design for a new experiment nusong neutrino scattering on glass the design will yield about two orders of magnitude higher statistics than previous high energy neutrino experiments observed in a detector optimized for low hadronic energy and electromagnetic events as a result the purely weak processes nu_mue to nu_mu e and nu_mu e to nu_e mu inverse muon decay can be measured with high accuracy for the first time this allows important precision electroweak tests and well as direct searches for new physics the high statistics also will yield the worlds largest sample of deep inelastic dis events for precision parton distribution studies | [['these', 'proceedings', 'describe', 'the', 'physics', 'goals', 'and', 'initial', 'design', 'for', 'a', 'new', 'experiment', 'nusong', 'neutrino', 'scattering', 'on', 'glass', 'the', 'design', 'will', 'yield', 'about', 'two', 'orders', 'of', 'magnitude', 'higher', 'statistics', 'than', 'previous', 'high', 'energy', 'neutrino', 'experiments', 'observed', 'in', 'a', 'detector', 'optimized', 'for', 'low', 'hadronic', 'energy', 'and', 'electromagnetic', 'events', 'as', 'a', 'result', 'the', 'purely', 'weak', 'processes', 'nu_mue', 'to', 'nu_mu', 'e', 'and', 'nu_mu', 'e', 'to', 'nu_e', 'mu', 'inverse', 'muon', 'decay', 'can', 'be', 'measured', 'with', 'high', 'accuracy', 'for', 'the', 'first', 'time', 'this', 'allows', 'important', 'precision', 'electroweak', 'tests', 'and', 'well', 'as', 'direct', 'searches', 'for', 'new', 'physics', 'the', 'high', 'statistics', 'also', 'will', 'yield', 'the', 'worlds', 'largest', 'sample', 'of', 'deep', 'inelastic', 'dis', 'events', 'for', 'precision', 'parton', 'distribution', 'studies']] | [-0.033333433464773604, 0.23409498043291205, -0.06100199369059221, 0.18697952236959223, -0.07530082659250512, -0.0848459021339344, 0.03735315002215741, 0.32031166667605304, -0.1930197364910766, -0.35994844871094905, 0.021321726901045588, -0.3277529493030129, -0.004749180900084006, 0.2097282552743448, 0.05202105012093041, 0.12710789577295556, 0.13348620911002965, -0.015055831781848593, -0.07450620601423555, -0.2160325248113221, 0.22013605654508145, 0.17417335893034827, 0.29527721726880957, 0.09138325004427282, 0.11045065168962553, 0.017154205762487544, -0.08730054995766631, -0.056380210249256844, -0.14653635188635136, 0.05266726603899319, 0.29605972218990056, 0.10941973639450767, 0.12849660768165244, -0.3935201231571547, -0.13528489915922554, 0.15763895846651615, 0.10879328200039831, 0.04688537405092722, -0.04871792577496554, -0.2964678025544361, 0.07493444649410341, -0.191265676355174, -0.10883536371863908, -0.09609702350320043, -0.015370236739079963, 0.009042388381990226, -0.32618376133577515, 0.06634264896798937, 0.001832969206687365, 0.018344810593302723, -0.009046898379204544, -0.22759695912014927, 0.07367796104543985, 0.05185435522297347, 0.06730804110768142, 0.04223072045977722, 0.13854730516453986, -0.17782564753003688, -0.19356155799919958, 0.3680920194465298, -0.06908856069699018, -0.11013423413382256, 0.19607382078092914, -0.23628642368088434, -0.11573385271906585, 0.1870770674232427, 0.25453837575004984, 0.05897777908070533, -0.18666029695488578, 0.04507715564650097, 0.022189043135579407, 0.15692608407488814, 0.05563220451795706, 0.06419088162569883, 0.2166079620721641, 0.26882753093613665, 0.08321720367582801, -0.008740174770774739, -0.15192927793926886, 0.019454870368815488, -0.37530965050934134, -0.12853851389383208, -0.10522605323962667, 0.08960938953316293, -0.03285138428471836, -0.0771437073860586, 0.3655595091624638, 0.12242680751542384, 0.20609310856676316, -0.0006222902054621561, 0.3284979494087197, 0.07225564947175617, 0.03098748420860182, -0.027973608134801056, 0.3144229000417499, 0.11837422250358907, 0.1564456014977852, -0.21789290950641976, 0.0581863244994426, 0.023436888574144325] |
711.0549 | Nonlocal Astroparticles in Einstein's Universe | Gravitational probes should maintain spatial flatness for
Einsten-Infeld-Hoffmann dynamics of relativistic matter-energy. The continuous
elementary source/particle in Einstein's gravitational theory is the r^{-4}
radial energy density rather than the delta-operator density in empty-space
gravitation. The space energy integral of such an infinite (astro)particle is
finite and determines its nonlocal gravitational charge for the
energy-to-energy attraction of other nonlocal (astro)particles. The non-empty
flat space of the undivided material Universe is charged continuously by the
world energy density of the global ensemble of overlapping radial particles.
Nonlocal gravitational/inertial energy-charges incorporate Machian relativism
quantitatively into Einstein's gravitation for self-contained SR-GR dynamics
without references on Newton's mass-to-mass attraction.
| physics.gen-ph | gravitational probes should maintain spatial flatness for einsteninfeldhoffmann dynamics of relativistic matterenergy the continuous elementary sourceparticle in einsteins gravitational theory is the r4 radial energy density rather than the deltaoperator density in emptyspace gravitation the space energy integral of such an infinite astroparticle is finite and determines its nonlocal gravitational charge for the energytoenergy attraction of other nonlocal astroparticles the nonempty flat space of the undivided material universe is charged continuously by the world energy density of the global ensemble of overlapping radial particles nonlocal gravitationalinertial energycharges incorporate machian relativism quantitatively into einsteins gravitation for selfcontained srgr dynamics without references on newtons masstomass attraction | [['gravitational', 'probes', 'should', 'maintain', 'spatial', 'flatness', 'for', 'einsteninfeldhoffmann', 'dynamics', 'of', 'relativistic', 'matterenergy', 'the', 'continuous', 'elementary', 'sourceparticle', 'in', 'einsteins', 'gravitational', 'theory', 'is', 'the', 'r4', 'radial', 'energy', 'density', 'rather', 'than', 'the', 'deltaoperator', 'density', 'in', 'emptyspace', 'gravitation', 'the', 'space', 'energy', 'integral', 'of', 'such', 'an', 'infinite', 'astroparticle', 'is', 'finite', 'and', 'determines', 'its', 'nonlocal', 'gravitational', 'charge', 'for', 'the', 'energytoenergy', 'attraction', 'of', 'other', 'nonlocal', 'astroparticles', 'the', 'nonempty', 'flat', 'space', 'of', 'the', 'undivided', 'material', 'universe', 'is', 'charged', 'continuously', 'by', 'the', 'world', 'energy', 'density', 'of', 'the', 'global', 'ensemble', 'of', 'overlapping', 'radial', 'particles', 'nonlocal', 'gravitationalinertial', 'energycharges', 'incorporate', 'machian', 'relativism', 'quantitatively', 'into', 'einsteins', 'gravitation', 'for', 'selfcontained', 'srgr', 'dynamics', 'without', 'references', 'on', 'newtons', 'masstomass', 'attraction']] | [-0.15718852774458653, 0.18022680523872436, -0.13681685900296636, 0.1384277537700302, -0.11065004165379369, -0.09486947810676481, -0.09592575840865813, 0.27262740502400057, -0.23262558950643455, -0.2900886535680169, -0.027975949838909567, -0.26314197287761737, -0.020331804166020522, 0.11155634112561083, -0.0184161714325678, 0.00566806483595651, -0.03918325731872904, 0.07288187646725196, -0.04336441514243809, -0.20214145199386213, 0.33229350524108703, 0.0806516211441889, 0.22760603931608933, 0.05122637312042014, 0.11631634234621817, 0.027773722704518968, -0.07168938990620592, 0.05099147916545768, -0.14433219789869475, 0.07343448377309406, 0.1969641766401616, 0.10427484164674937, 0.29350419606234196, -0.4713799295357752, -0.2748369716621023, 0.10533584506317441, 0.09861131601406223, 0.13047673389771763, -0.04114951883865597, -0.33362531661987305, -0.028559923191003655, -0.160048746941041, -0.2240957179990578, -0.05796900075119065, 0.0954371873997342, 0.027061922055174957, -0.1808833953430306, 0.14580275495156494, 0.002325837082248561, -0.01361962806371668, -0.1433959674263582, -0.059611075196643264, -0.05322212642248796, 0.03827241232276571, 0.07168248976457256, 0.04656975795704948, 0.19931422835405993, -0.12262018138960916, -0.04136744440932359, 0.419036761002273, -0.11050793372777086, -0.22858055870580887, 0.13695608977494494, -0.16006919011302598, -0.07525312978470204, 0.16091014625390573, 0.10986231527055437, 0.08266560451070569, -0.17421097119281792, 0.1907701101314457, -0.011884276075668785, 0.13723071617055305, 0.10512466148095567, 0.07424776038459065, 0.3180809831377404, 0.11728625585876253, 0.10705893441122405, 0.01791406360191141, -0.03214529513830452, -0.1282463234003481, -0.37989132338184484, -0.1607069705365872, -0.22504620672303385, 0.08789037284916457, -0.15927450612590682, -0.1836666207646533, 0.3446318537795118, 0.05567941706798667, 0.05063151759190523, 0.026904779462599938, 0.26109207003396384, 0.054263507487603974, 0.02643694227314269, 0.061134053465473105, 0.30009753484877627, 0.1401724868135679, 0.14332840389724136, -0.25471556505511456, -0.025998862002909715, 0.13061819973221162] |
711.055 | Tate Resolutions for Segre Embeddings | We give an explicit description of the terms and differentials of the Tate
resolution of sheaves arising from Segre embeddings of $\P^a\times\P^b$. We
prove that the maps in this Tate resolution are either coming from
Sylvester-type maps, or from Bezout-type maps arising from the so-called toric
Jacobian.
| math.AG math.AC | we give an explicit description of the terms and differentials of the tate resolution of sheaves arising from segre embeddings of patimespb we prove that the maps in this tate resolution are either coming from sylvestertype maps or from bezouttype maps arising from the socalled toric jacobian | [['we', 'give', 'an', 'explicit', 'description', 'of', 'the', 'terms', 'and', 'differentials', 'of', 'the', 'tate', 'resolution', 'of', 'sheaves', 'arising', 'from', 'segre', 'embeddings', 'of', 'patimespb', 'we', 'prove', 'that', 'the', 'maps', 'in', 'this', 'tate', 'resolution', 'are', 'either', 'coming', 'from', 'sylvestertype', 'maps', 'or', 'from', 'bezouttype', 'maps', 'arising', 'from', 'the', 'socalled', 'toric', 'jacobian']] | [-0.12110548515034758, -0.011276494759405741, -0.112546973304985, 0.08397278751236507, -0.03301520694209182, -0.07964784840283834, -0.06368462433633597, 0.2883006680513854, -0.4317893456444954, -0.20493971137329936, 0.1433225156936754, -0.284713110299376, -0.1325529771907579, 0.21179644706274342, -0.2020991105667275, -0.05807474755641559, 0.04998951522714418, 0.012175199778183647, -0.148197518980495, -0.25643430718818033, 0.5075484802541526, -0.0028602155735311303, 0.1993726874883894, 0.07793948440002682, 0.16710457084295544, -0.009091022809076569, -0.07051381395886773, -0.07538428688016922, -0.13793416135598344, 0.2108623480358485, 0.3201559224854345, 0.1025804262355213, 0.06596759687659948, -0.43210993205075676, -0.13146097697924986, 0.20218994792388834, 0.08104898420202991, 0.12188063246076522, -0.01075999810785541, -0.27583831269294024, 0.036850680192203625, -0.1521122203734906, -0.0899684814857724, -0.1260182328886636, -0.057197100442388786, 0.09208487209094607, -0.20957923918436078, 0.016490765948496435, 0.09515720678736335, 0.2089325742310156, -0.12705298895399092, -0.12577964140750145, -0.12180032756220063, 0.10152878893448201, 0.00446510063889234, 0.04102974210906288, 0.05056135848407512, -0.2130810964761464, -0.121941354814107, 0.3691953108443514, -0.0793321287897213, -0.19326229195070008, 0.13538476494748308, -0.1366536118009168, -0.12178032026302231, 0.20731195815555428, 0.06924564930934297, 0.15198168794260078, 0.022956346870278536, 0.1672175123100675, -0.11538510429470436, 0.06891659614832504, 0.14736610040405218, 0.00780055104026004, 0.1550255652881511, -0.0042431625618558864, 0.04463575847203965, 0.18477876581575559, -0.1032734515712313, -0.046009998525614326, -0.37873464355083264, -0.14131472316449104, -0.08921273141775442, 0.23431013004712598, -0.12279422517388847, -0.15287197006704367, 0.42547254588292993, 0.09248415530537782, 0.2734703160012546, 0.16422610711711255, 0.2545365075702253, 0.04181646938314256, 0.05141690049482429, 0.009388571716440112, 0.12154722264360475, 0.1777561762491646, -0.0061415217654860535, -0.08420185459291805, -0.03855281712932755, 0.262853494177208] |
711.0551 | Neutrinos from Fallback onto Newly Formed Neutron Stars | In the standard supernova picture, type Ib/c and type II supernovae are
powered by the potential energy released in the collapse of the core of a
massive star. In studying supernovae, we primarily focus on the ejecta that
makes it beyond the potential well of the collapsed core. But, as we shall show
in this paper, in most supernova explosions, a tenth of a solar mass or more of
the ejecta is decelerated enough that it does not escape the potential well of
that compact object. This material falls back onto the proto-neutron star
within the first 10-15 seconds after the launch of the explosion, releasing
more than 1e52erg of additional potential energy. Most of this energy is
emitted in the form of neutrinos and we must understand this fallback neutrino
emission if we are to use neutrino observations to study the behavior of matter
at high densities. Here we present both a 1-dimensional study of fallback using
energy-injected, supernova explosions and a first study of neutrino emission
from fallback using a suite of 2-dimensional simulations.
| astro-ph | in the standard supernova picture type ibc and type ii supernovae are powered by the potential energy released in the collapse of the core of a massive star in studying supernovae we primarily focus on the ejecta that makes it beyond the potential well of the collapsed core but as we shall show in this paper in most supernova explosions a tenth of a solar mass or more of the ejecta is decelerated enough that it does not escape the potential well of that compact object this material falls back onto the protoneutron star within the first 1015 seconds after the launch of the explosion releasing more than 1e52erg of additional potential energy most of this energy is emitted in the form of neutrinos and we must understand this fallback neutrino emission if we are to use neutrino observations to study the behavior of matter at high densities here we present both a 1dimensional study of fallback using energyinjected supernova explosions and a first study of neutrino emission from fallback using a suite of 2dimensional simulations | [['in', 'the', 'standard', 'supernova', 'picture', 'type', 'ibc', 'and', 'type', 'ii', 'supernovae', 'are', 'powered', 'by', 'the', 'potential', 'energy', 'released', 'in', 'the', 'collapse', 'of', 'the', 'core', 'of', 'a', 'massive', 'star', 'in', 'studying', 'supernovae', 'we', 'primarily', 'focus', 'on', 'the', 'ejecta', 'that', 'makes', 'it', 'beyond', 'the', 'potential', 'well', 'of', 'the', 'collapsed', 'core', 'but', 'as', 'we', 'shall', 'show', 'in', 'this', 'paper', 'in', 'most', 'supernova', 'explosions', 'a', 'tenth', 'of', 'a', 'solar', 'mass', 'or', 'more', 'of', 'the', 'ejecta', 'is', 'decelerated', 'enough', 'that', 'it', 'does', 'not', 'escape', 'the', 'potential', 'well', 'of', 'that', 'compact', 'object', 'this', 'material', 'falls', 'back', 'onto', 'the', 'protoneutron', 'star', 'within', 'the', 'first', '1015', 'seconds', 'after', 'the', 'launch', 'of', 'the', 'explosion', 'releasing', 'more', 'than', '1e52erg', 'of', 'additional', 'potential', 'energy', 'most', 'of', 'this', 'energy', 'is', 'emitted', 'in', 'the', 'form', 'of', 'neutrinos', 'and', 'we', 'must', 'understand', 'this', 'fallback', 'neutrino', 'emission', 'if', 'we', 'are', 'to', 'use', 'neutrino', 'observations', 'to', 'study', 'the', 'behavior', 'of', 'matter', 'at', 'high', 'densities', 'here', 'we', 'present', 'both', 'a', '1dimensional', 'study', 'of', 'fallback', 'using', 'energyinjected', 'supernova', 'explosions', 'and', 'a', 'first', 'study', 'of', 'neutrino', 'emission', 'from', 'fallback', 'using', 'a', 'suite', 'of', '2dimensional', 'simulations']] | [-0.06551313359322476, 0.14124422012453622, -0.032482062359394014, 0.13037195613714145, -0.10944487664034996, -0.05815832490026523, 0.0613047396125213, 0.3581354745032116, -0.2088523042406994, -0.29683668091465004, 0.0896645392566898, -0.2950037546220353, -0.055503800464526416, 0.2120383432250063, -0.011381594982113951, -0.07202976752452594, 0.11215952868776091, 0.002205915074667026, -0.11097605355487382, -0.22746541842432885, 0.3459529322404789, 0.10439179645551519, 0.1584230524932045, 0.024356673476312995, 0.06190476366639908, -0.10407915079682509, -0.017370095572851855, -0.04597251311254998, -0.11976089231042163, 0.06828448548913002, 0.15322348592732965, 0.19903261690325608, 0.2388533696575069, -0.46412851603637484, -0.27226329372724756, 0.13634327483422326, 0.19034018467084088, 0.09580596140619292, -0.11959396560034774, -0.2365997473056289, 0.08886677097935958, -0.2583061694408414, -0.14452033758366845, 0.05075299064896401, 0.007208574766657133, 0.053482939855827166, -0.1992270935978473, 0.09293977945946671, 0.037122844402603376, -0.016382506587569356, -0.0979043714435846, -0.030585056941570907, -0.02994314823620792, 0.037261681617157344, 0.0722549184778807, 0.01362244075501402, 0.11955050007713124, -0.18352413279186378, 0.016395461279898882, 0.48865935394818755, -0.051131900797759304, -0.029967872381756275, 0.1990597341423747, -0.20575507001780058, -0.12453480397254743, 0.14829671881215153, 0.179816748058402, 0.13319130147668137, -0.17103913985192776, -0.006931970174619714, -0.010102327508937525, 0.13991049093718844, 0.029122351536302472, 0.005526743952648904, 0.2941331607450185, 0.22554554840035992, 0.015237543234152013, 0.10545399236150257, -0.17390464127449126, -0.04194279936083389, -0.3235787155023701, -0.14456588955831595, -0.17785501009088822, 0.1469439882906348, -0.05631543793583398, -0.1334439167517355, 0.38405708858910403, 0.11954012078008261, 0.18093377692175322, -0.007484029031133857, 0.28940524027051256, 0.05552320522001955, 0.07527969283287296, 0.1245443046416809, 0.32255008860073725, 0.1356669105442198, 0.12508245669947615, -0.21685319411402418, 0.05444963648380048, 0.050920214081161666] |
711.0552 | Gelfand-Tsetlin bases for representations of finite W-algebras and
shifted Yangians | Remarkable subalgebras of the Yangian for gl_n called the shifted Yangians
were introduced in a recent work by Brundan and Kleshchev in relation to their
study of finite W-algebras. In particular, in that work a classification of
finite-dimensional irreducible representations of the shifted Yangians and the
associated finite W-algebras was given. We construct a class of these
representations in an explicit form via bases of Gelfand-Tsetlin type.
| math.RT math.QA | remarkable subalgebras of the yangian for gl_n called the shifted yangians were introduced in a recent work by brundan and kleshchev in relation to their study of finite walgebras in particular in that work a classification of finitedimensional irreducible representations of the shifted yangians and the associated finite walgebras was given we construct a class of these representations in an explicit form via bases of gelfandtsetlin type | [['remarkable', 'subalgebras', 'of', 'the', 'yangian', 'for', 'gl_n', 'called', 'the', 'shifted', 'yangians', 'were', 'introduced', 'in', 'a', 'recent', 'work', 'by', 'brundan', 'and', 'kleshchev', 'in', 'relation', 'to', 'their', 'study', 'of', 'finite', 'walgebras', 'in', 'particular', 'in', 'that', 'work', 'a', 'classification', 'of', 'finitedimensional', 'irreducible', 'representations', 'of', 'the', 'shifted', 'yangians', 'and', 'the', 'associated', 'finite', 'walgebras', 'was', 'given', 'we', 'construct', 'a', 'class', 'of', 'these', 'representations', 'in', 'an', 'explicit', 'form', 'via', 'bases', 'of', 'gelfandtsetlin', 'type']] | [-0.12243616662975122, 0.08407269642925508, -0.058013121180458746, 0.01800505244937628, -0.11429336370983675, -0.11711420947963845, -0.0030197105300960258, 0.3680452469791939, -0.32418373581578036, -0.15498018329407073, 0.07398905143760312, -0.2155217780842821, -0.190961847971402, 0.18533340224356792, -0.174044174600893, -0.007382277166470885, 0.054544022363052815, 0.0949050453700014, -0.175757712694997, -0.2658113909801885, 0.41480980760681985, 0.003203000866377087, 0.2667356553390177, -0.025754457923458582, 0.12859840484669627, 0.003159102691865679, -0.054800001487358294, -0.0749232848383375, -0.11889503557470005, 0.2303746298907686, 0.35462651699225406, 0.04431644250263474, 0.20889497141756896, -0.35937756369474216, -0.07477067191320569, 0.18937016528016373, 0.1892399925655171, 0.0778769330997298, -0.04494088779745707, -0.30769699141939183, 0.06202217779442001, -0.3036570697744836, -0.12392993010024526, -0.06392809715288789, 0.06820776812217907, 0.017042038444457435, -0.2069242140139217, 0.03010867467608803, 0.13979204534205483, 0.16285255472106275, -0.1098051634130638, -0.116186845310922, -0.04157032154903594, 0.07290912264568815, -0.06765673612591935, -0.004642831755857637, 0.003177759098584083, -0.1617175772396931, -0.22146895258173124, 0.3321346084017362, -0.006587949567543927, -0.21853810626624234, 0.13575568241970754, -0.1435715283767612, -0.20531370011922806, 0.07676636180214917, 0.10642914022249517, 0.10205487571934711, -0.08120977747907389, 0.17922142706637673, -0.13075406497705783, -0.06016204448124922, 0.11246836957619039, -0.006105810327371999, 0.13068089527147475, 0.06371646070394164, -0.04765708446363682, 0.1715448756438138, 0.05371092421735929, -0.036658303061527994, -0.34301812704930557, -0.21317209272798318, -0.1039720054145958, 0.07713286567187465, -0.05738322648746239, -0.16608279198408127, 0.4402572114069237, 0.10289718034162895, 0.22924364718205448, 0.12452646354630367, 0.11553753116307085, 0.11225967537333716, 0.131326150562642, 0.006442571288224922, 0.12173806108645539, 0.29875987374098667, -0.018498050924668562, -0.18755200200839273, -0.04000901387580462, 0.2595478647263415] |
711.0553 | Microscopic model analyses of proton scattering from 12C, 20Ne, 24Mg,
28Si and 40Ca | Differential cross sections and analyzing powers for elastic scattering from,
and for inelastic proton scattering to a set of $2^+_1$ states in, ${}^{12}$C,
${}^{20}$Ne, ${}^{24}$Mg, ${}^{28}$Si and ${}^{40}$Ca, and for a set of
energies between 35 to 250 MeV, have been analyzed. A $g$-folding model has
been used to determine optical potentials and a microscopic distorted wave
approximation taken to analyze the inelastic data. The effective
nucleon-nucleon interactions used to specify the optical potentials have also
been used as the transition operators in the inelastic scattering processes.
Shell and large space Hartree-Fock models of structure have been used to
describe the nuclear states.
| nucl-th | differential cross sections and analyzing powers for elastic scattering from and for inelastic proton scattering to a set of 2_1 states in 12c 20ne 24mg 28si and 40ca and for a set of energies between 35 to 250 mev have been analyzed a gfolding model has been used to determine optical potentials and a microscopic distorted wave approximation taken to analyze the inelastic data the effective nucleonnucleon interactions used to specify the optical potentials have also been used as the transition operators in the inelastic scattering processes shell and large space hartreefock models of structure have been used to describe the nuclear states | [['differential', 'cross', 'sections', 'and', 'analyzing', 'powers', 'for', 'elastic', 'scattering', 'from', 'and', 'for', 'inelastic', 'proton', 'scattering', 'to', 'a', 'set', 'of', '2_1', 'states', 'in', '12c', '20ne', '24mg', '28si', 'and', '40ca', 'and', 'for', 'a', 'set', 'of', 'energies', 'between', '35', 'to', '250', 'mev', 'have', 'been', 'analyzed', 'a', 'gfolding', 'model', 'has', 'been', 'used', 'to', 'determine', 'optical', 'potentials', 'and', 'a', 'microscopic', 'distorted', 'wave', 'approximation', 'taken', 'to', 'analyze', 'the', 'inelastic', 'data', 'the', 'effective', 'nucleonnucleon', 'interactions', 'used', 'to', 'specify', 'the', 'optical', 'potentials', 'have', 'also', 'been', 'used', 'as', 'the', 'transition', 'operators', 'in', 'the', 'inelastic', 'scattering', 'processes', 'shell', 'and', 'large', 'space', 'hartreefock', 'models', 'of', 'structure', 'have', 'been', 'used', 'to', 'describe', 'the', 'nuclear', 'states']] | [-0.006104063895955971, 0.15036795865201835, -0.09752548253446257, 0.16810378417806718, 0.009793606192015962, -0.08803895764330909, 0.02821581629421381, 0.4137447733902237, -0.21286998269175297, -0.2749580814530259, -0.024436841635214326, -0.3629044420492736, -0.017670854166584107, 0.14028273752745857, 0.14811313114336971, 0.14635981534363576, 0.033927088167102444, 0.029805457856940124, -0.05262900619017123, -0.1533988551801812, 0.32879279943146894, 0.07937975725593063, 0.23912030290269737, 0.14492559295545504, 0.08160452484221026, 0.07066530972104339, 0.06028955847531268, -0.05907211203644622, -0.12266727050684971, 0.10620837366023074, 0.3355302626228718, 0.011516534682652615, 0.14303194657555846, -0.48887938018707394, -0.20418620332894685, 0.10975580634232791, 0.1663025419218737, 0.16909527718948508, -0.03558591196259248, -0.31918018892660593, 0.006245592844139025, -0.23200359987547098, -0.12869717400448705, -0.16923089576342587, 0.09880330739090744, 0.06216406764336003, -0.26463697236585115, 0.01039477343754662, -0.07108617597485631, 0.04344776049437164, -0.16840183097435144, -0.2095891127127756, -0.027563219073960938, 0.07008411667481498, 0.01897324596246867, 0.020287402986901477, 0.14120724818045363, -0.07758745083639633, -0.09309184700431465, 0.3985015519542023, -0.025733872113333455, -0.11771357115538954, 0.13352734839444239, -0.14257206950445198, -0.08350902261185342, 0.21657981932416415, 0.23779205127067646, 0.09627222036829815, -0.22366015941358977, 0.08729996387191226, 0.016727397104333047, 0.16282789083649812, 0.1215588708105271, 0.036740541429873735, 0.10390968529905364, 0.19869150872369415, -0.08171004572548696, 0.06457630830627044, -0.18941783244061527, -0.06143463124493951, -0.243912762067127, -0.044363960961967215, -0.12911318761784837, 0.059539420670774335, 0.010963126898062805, -0.1093063446494199, 0.34185115064412935, 0.05536800830905299, 0.23343283819595298, -0.04935860258608478, 0.2412648214144831, 0.13685380036912145, 0.11184828591903725, 0.03178784102472721, 0.34306260166707836, 0.25930767597684873, 0.09744683066292585, -0.24848913571128206, 0.03713896569967704, 0.014244389340498494] |
711.0554 | Correlated Phenotypic Transitions to Competence in Bacterial Colonies | Genetic competence is a phenotypic state of a bacterial cell in which it is
capable of importing DNA, presumably to hasten its exploration of alternate
genes in its quest for survival under stress. Recently, it was proposed that
this transition is uncorrelated among different cells in the colony. Motivated
by several discovered signaling mechanisms which create colony-level responses,
we present a model for the influence of quorum-sensing signals on a colony of
B. Subtilis cells during the transition to genetic competence. Coupling to the
external signal creates an effective inhibitory mechanism, which results in
anti-correlation between the cycles of adjacent cells. We show that this
scenario is consistent with the specific experimental measurement, which fails
to detect some underlying collective signaling mechanisms. Rather, we suggest
other parameters that should be used to verify the role of a quorum-sensing
signal. We also study the conditions under which phenotypic spatial patterns
may emerge.
| q-bio.MN cond-mat.other | genetic competence is a phenotypic state of a bacterial cell in which it is capable of importing dna presumably to hasten its exploration of alternate genes in its quest for survival under stress recently it was proposed that this transition is uncorrelated among different cells in the colony motivated by several discovered signaling mechanisms which create colonylevel responses we present a model for the influence of quorumsensing signals on a colony of b subtilis cells during the transition to genetic competence coupling to the external signal creates an effective inhibitory mechanism which results in anticorrelation between the cycles of adjacent cells we show that this scenario is consistent with the specific experimental measurement which fails to detect some underlying collective signaling mechanisms rather we suggest other parameters that should be used to verify the role of a quorumsensing signal we also study the conditions under which phenotypic spatial patterns may emerge | [['genetic', 'competence', 'is', 'a', 'phenotypic', 'state', 'of', 'a', 'bacterial', 'cell', 'in', 'which', 'it', 'is', 'capable', 'of', 'importing', 'dna', 'presumably', 'to', 'hasten', 'its', 'exploration', 'of', 'alternate', 'genes', 'in', 'its', 'quest', 'for', 'survival', 'under', 'stress', 'recently', 'it', 'was', 'proposed', 'that', 'this', 'transition', 'is', 'uncorrelated', 'among', 'different', 'cells', 'in', 'the', 'colony', 'motivated', 'by', 'several', 'discovered', 'signaling', 'mechanisms', 'which', 'create', 'colonylevel', 'responses', 'we', 'present', 'a', 'model', 'for', 'the', 'influence', 'of', 'quorumsensing', 'signals', 'on', 'a', 'colony', 'of', 'b', 'subtilis', 'cells', 'during', 'the', 'transition', 'to', 'genetic', 'competence', 'coupling', 'to', 'the', 'external', 'signal', 'creates', 'an', 'effective', 'inhibitory', 'mechanism', 'which', 'results', 'in', 'anticorrelation', 'between', 'the', 'cycles', 'of', 'adjacent', 'cells', 'we', 'show', 'that', 'this', 'scenario', 'is', 'consistent', 'with', 'the', 'specific', 'experimental', 'measurement', 'which', 'fails', 'to', 'detect', 'some', 'underlying', 'collective', 'signaling', 'mechanisms', 'rather', 'we', 'suggest', 'other', 'parameters', 'that', 'should', 'be', 'used', 'to', 'verify', 'the', 'role', 'of', 'a', 'quorumsensing', 'signal', 'we', 'also', 'study', 'the', 'conditions', 'under', 'which', 'phenotypic', 'spatial', 'patterns', 'may', 'emerge']] | [-0.13821418859860082, 0.17757668684013575, -0.0734725507721305, 0.060124683307173354, -0.06291682260576635, -0.14731748879887163, 0.1053161365026608, 0.3758781468061109, -0.2648790832360586, -0.26527266347159945, 0.031959077189676464, -0.21524951190998157, -0.28168662485356133, 0.14298603234735008, -0.08018226940805713, -0.03703934737209541, 0.04499437042279169, 0.02668259186359743, 0.07780978036268303, -0.22003407179377973, 0.24899397746349375, 0.08245102894182006, 0.3088316497423996, 0.019964398607456437, 0.09518672855415691, -0.061580659815420706, 0.011415030186374983, 0.0013954805334409077, -0.1112556958438654, 0.10482304040963451, 0.2650605148014923, 0.17594385989553604, 0.28574862830340864, -0.47584359646464386, -0.25108939175804457, 0.14310493133496494, 0.1351593237183988, 0.13868032393278554, -0.07135812344417597, -0.2424909873182575, 0.09178351919283159, -0.11862624078678588, -0.10389650587923825, -0.06357637385527293, 0.035186682666341465, 0.01919136699909965, -0.3017035320152839, 0.0873139577518062, 0.0506072307859237, 0.060311950606604416, -0.09399223052275678, -0.09039837072603404, -0.03102189678388337, 0.15390584647345046, 0.07273290153204774, 0.0176852552453056, 0.18801466848390797, -0.11309184891792635, -0.12778282324162624, 0.33220115917152726, -0.002876043412834406, -0.19863740145694464, 0.24211252468638123, -0.11563513355484853, -0.13521578688174485, 0.11799768285825848, 0.17423306793595353, 0.05215918614451463, -0.20668439844623207, -0.03326238835540911, -0.012727589416317641, 0.17182189770004092, 0.05199466573384901, 0.013322680260365208, 0.2027677732395629, 0.20936462135985492, 0.0382544787057365, 0.12950834365367578, -0.10037969167499493, -0.1316478308538596, -0.22430658831687955, -0.13939940862512837, -0.11609596834595626, 0.02019426056339095, -0.07063710294974347, -0.16272550171551606, 0.42897818714380265, 0.1486125226591442, 0.20218066344037652, 0.016680808009114118, 0.23265978055385253, 0.03174581973503033, 0.1171902529107562, -0.015383365471692135, 0.22755103242059704, 0.08914800328047325, 0.0765109324742419, -0.3004015786635379, 0.17190581724978984, -0.003684076692443341] |
711.0555 | A note on pairs of metrics in a three-dimensional linear vector space | Pairs of metrics in a three-dimensional linear vector space are considered,
one of which is a Minkowski type metric with the signature (+,-,-). Such metric
pairs are classified and canonical presentations for them in each class are
suggested.
| math.MG | pairs of metrics in a threedimensional linear vector space are considered one of which is a minkowski type metric with the signature such metric pairs are classified and canonical presentations for them in each class are suggested | [['pairs', 'of', 'metrics', 'in', 'a', 'threedimensional', 'linear', 'vector', 'space', 'are', 'considered', 'one', 'of', 'which', 'is', 'a', 'minkowski', 'type', 'metric', 'with', 'the', 'signature', 'such', 'metric', 'pairs', 'are', 'classified', 'and', 'canonical', 'presentations', 'for', 'them', 'in', 'each', 'class', 'are', 'suggested']] | [-0.15804973254735405, 0.12138288648094277, -0.005744795239454991, 0.12253404349856381, -0.1017797500700564, -0.1386209899760984, -0.0603630315462077, 0.39914800538807305, -0.24875163387607885, -0.25036202330847046, 0.07387831992142506, -0.3265262445233561, -0.15796497469214169, 0.2086715440492372, -0.03413170026111845, 0.018997396141089296, 0.011940212165181702, 0.13727765540416176, -0.12027769956133656, -0.28786644077784307, 0.43427399707001607, -0.047472230284600646, 0.28362751742069786, -0.08751595256900466, 0.10847948228537634, -0.03886750444920885, -0.08520140563062317, 0.10021642538816417, -0.05829502784370168, 0.10797315881889616, 0.27500078515023796, 0.1461748924181872, 0.20887002594315926, -0.2810809298141583, -0.2383960932241501, 0.16267952159349178, 0.0421428574324661, 0.08986213099450578, -0.03715757142148308, -0.3029111627791379, 0.12163860589302007, -0.1271121564472245, -0.08536959827147625, -0.06632643625945658, 0.03081139232459906, 0.031833717045751775, -0.25328688076823147, 0.007426088323464265, 0.07078638632555266, 0.034482088971983745, -0.08855202623542298, -0.0764040066483053, -0.041577166097389685, 0.09702833935719084, 0.01993038159845447, 0.06322926584933256, 0.043806941235891066, -0.0785201329382363, -0.16206274526445447, 0.4192524511065032, -0.04836250335682888, -0.32493020731301325, 0.21013772799759298, -0.08483801691516026, -0.10209015772577275, 0.08250368446917147, 0.1580159800076807, 0.1726152314426931, -0.1449423140619655, 0.07214045604986667, -0.05842607594221025, 0.043877891994811395, 0.05829106111431847, 0.0949645090118252, 0.22264372841832605, 0.09955326426220504, 0.024023580868300552, 0.11288988378805083, -0.03256300773323715, -0.08632899129863929, -0.35995737614261136, -0.2524929197404433, -0.12970666159447786, 0.04359355722428174, -0.08117623601975611, -0.20308981574064977, 0.37688297646220875, -0.07126804176919363, 0.2442931130125716, 0.016809001064708305, 0.196681050835429, 0.07029118210177969, 0.09496998374123831, 0.10174286699023198, 0.23885876222236738, 0.09912439601848254, -0.009694120897030508, -0.052982719495540134, -0.02354997831925347, 0.19237846362631064] |
711.0556 | Observer dependent D-brane for strings propagating in pp-wave time
dependent background | We study type IIB superstring in the pp-wave time-dependent background, which
has a singularity at $t=0$. We show that this background can provide a toy
model to study some ideas related to the stretched horizon paradigm and the
complementary principle of black holes. To this end, we construct a unitary
Bogoliubov generator which relates the asymptotically flat string Hilbert
space, defined at $t =\pm \infty$, to the finite time Hilbert space. For
asymptotically flat observers, the closed string vacuum close to the
singularity appears as a boundary state which is in fact a D-brane described in
the closed string channel. However, observers who go with the string towards to
the singularity see the original vacuum.
| hep-th | we study type iib superstring in the ppwave timedependent background which has a singularity at t0 we show that this background can provide a toy model to study some ideas related to the stretched horizon paradigm and the complementary principle of black holes to this end we construct a unitary bogoliubov generator which relates the asymptotically flat string hilbert space defined at t pm infty to the finite time hilbert space for asymptotically flat observers the closed string vacuum close to the singularity appears as a boundary state which is in fact a dbrane described in the closed string channel however observers who go with the string towards to the singularity see the original vacuum | [['we', 'study', 'type', 'iib', 'superstring', 'in', 'the', 'ppwave', 'timedependent', 'background', 'which', 'has', 'a', 'singularity', 'at', 't0', 'we', 'show', 'that', 'this', 'background', 'can', 'provide', 'a', 'toy', 'model', 'to', 'study', 'some', 'ideas', 'related', 'to', 'the', 'stretched', 'horizon', 'paradigm', 'and', 'the', 'complementary', 'principle', 'of', 'black', 'holes', 'to', 'this', 'end', 'we', 'construct', 'a', 'unitary', 'bogoliubov', 'generator', 'which', 'relates', 'the', 'asymptotically', 'flat', 'string', 'hilbert', 'space', 'defined', 'at', 't', 'pm', 'infty', 'to', 'the', 'finite', 'time', 'hilbert', 'space', 'for', 'asymptotically', 'flat', 'observers', 'the', 'closed', 'string', 'vacuum', 'close', 'to', 'the', 'singularity', 'appears', 'as', 'a', 'boundary', 'state', 'which', 'is', 'in', 'fact', 'a', 'dbrane', 'described', 'in', 'the', 'closed', 'string', 'channel', 'however', 'observers', 'who', 'go', 'with', 'the', 'string', 'towards', 'to', 'the', 'singularity', 'see', 'the', 'original', 'vacuum']] | [-0.13335640540589458, 0.12997392451228654, -0.13811724455622226, 0.14293512707454678, -0.08577592766074382, -0.2024664163225047, 0.014681750766770996, 0.3072529216580417, -0.2420484034911446, -0.1897318822554434, 0.0893565881885993, -0.26821000882140966, -0.08797496617164301, 0.11218988687083449, -0.1096736855637415, 0.01615997032140908, 0.004731791405736104, 0.10353945120587013, -0.10880916680452292, -0.26196408156791456, 0.36408782973075693, 0.08096203880951457, 0.29307745618178793, -0.009560188327146613, 0.12111258203740759, -0.015629606924789107, 0.022315621789058913, 0.026850652697232916, -0.18141328061768866, 0.05645333048077705, 0.28397988724400813, 0.09843290530793045, 0.18557843278445627, -0.43420332620001356, -0.2185718956929834, 0.1203427804350529, 0.1825741945239513, 0.17513709504096567, -0.007186198032096676, -0.30628538467091226, 0.06705392927903196, -0.14499495542891647, -0.20992679981433826, -0.01137702918533013, 0.03927844349780808, -0.11332477607015197, -0.20155019680766956, 0.033133922387724335, 0.04134440500005756, -0.05298890754904436, -0.06972495712663816, 0.0036165978951865564, -0.015036642749834319, 0.07280033185430194, 0.10300016030972904, 0.12423545952238467, 0.11460908064213784, -0.09626433102252042, -0.10429681043808713, 0.3137475462225468, -0.09917057503885388, -0.19937737605170064, 0.12522762993644193, -0.17823931140136784, -0.10423278777009767, 0.08823970761150121, 0.0834304014251203, 0.14494517951464767, -0.12696593248325846, 0.2180872141014729, -0.013088852409070924, 0.10008282659818298, 0.12265796812818103, 0.04148203220785312, 0.26154062693088276, 0.09089697904064846, 0.05105429417251245, 0.1516431357630569, -0.027224963423593537, -0.1334973670785194, -0.4342079162435687, -0.15042682377135624, -0.1371184064804212, 0.1605098405447991, -0.11673805818111008, -0.2516632386199806, 0.33141598132155514, 0.07293709565520934, 0.20957999150066273, 0.06976816369443321, 0.19962191924458475, 0.0925382037434484, 0.012168423168907833, 0.12100243214112909, 0.22677796104765982, 0.10337148605562423, 0.1163817755068126, -0.21719441368932957, -0.09306248524023787, 0.1435731437948087] |
711.0557 | Kerdock Codes for Limited Feedback Precoded MIMO Systems | A codebook based limited feedback strategy is a practical way to obtain
partial channel state information at the transmitter in a precoded
multiple-input multiple-output (MIMO) wireless system. Conventional codebook
designs use Grassmannian packing, equiangular frames, vector quantization, or
Fourier based constructions. While the capacity and error rate performance of
conventional codebook constructions have been extensively investigated,
constructing these codebooks is notoriously difficult relying on techniques
such as nonlinear search or iterative algorithms. Further, the resulting
codebooks may not have a systematic structure to facilitate storage of the
codebook and low search complexity. In this paper, we propose a new systematic
codebook design based on Kerdock codes and mutually unbiased bases. The
proposed Kerdock codebook consists of multiple mutually unbiased unitary bases
matrices with quaternary entries and the identity matrix. We propose to derive
the beamforming and precoding codebooks from this base codebook, eliminating
the requirement to store multiple codebooks. The propose structure requires
little memory to store and, as we show, the quaternary structure facilitates
codeword search. We derive the chordal distance for two antenna and four
antenna codebooks, showing that the proposed codebooks compare favorably with
prior designs. Monte Carlo simulations are used to compare achievable rates and
error rates for different codebooks sizes.
| cs.IT math.IT | a codebook based limited feedback strategy is a practical way to obtain partial channel state information at the transmitter in a precoded multipleinput multipleoutput mimo wireless system conventional codebook designs use grassmannian packing equiangular frames vector quantization or fourier based constructions while the capacity and error rate performance of conventional codebook constructions have been extensively investigated constructing these codebooks is notoriously difficult relying on techniques such as nonlinear search or iterative algorithms further the resulting codebooks may not have a systematic structure to facilitate storage of the codebook and low search complexity in this paper we propose a new systematic codebook design based on kerdock codes and mutually unbiased bases the proposed kerdock codebook consists of multiple mutually unbiased unitary bases matrices with quaternary entries and the identity matrix we propose to derive the beamforming and precoding codebooks from this base codebook eliminating the requirement to store multiple codebooks the propose structure requires little memory to store and as we show the quaternary structure facilitates codeword search we derive the chordal distance for two antenna and four antenna codebooks showing that the proposed codebooks compare favorably with prior designs monte carlo simulations are used to compare achievable rates and error rates for different codebooks sizes | [['a', 'codebook', 'based', 'limited', 'feedback', 'strategy', 'is', 'a', 'practical', 'way', 'to', 'obtain', 'partial', 'channel', 'state', 'information', 'at', 'the', 'transmitter', 'in', 'a', 'precoded', 'multipleinput', 'multipleoutput', 'mimo', 'wireless', 'system', 'conventional', 'codebook', 'designs', 'use', 'grassmannian', 'packing', 'equiangular', 'frames', 'vector', 'quantization', 'or', 'fourier', 'based', 'constructions', 'while', 'the', 'capacity', 'and', 'error', 'rate', 'performance', 'of', 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711.0558 | Reduced distance based at singular time in the Ricci flow | In this paper, we define a reduced distance function based at a point at the
singular time $T<\infty$ of a Ricci flow. We also show the monotonicity of the
corresponding reduced volume based at time T, with equality iff the Ricci flow
is a gradient shrinking soliton. Our curvature bound assumption is more general
than the type I condition.
| math.DG math.AP | in this paper we define a reduced distance function based at a point at the singular time tinfty of a ricci flow we also show the monotonicity of the corresponding reduced volume based at time t with equality iff the ricci flow is a gradient shrinking soliton our curvature bound assumption is more general than the type i condition | [['in', 'this', 'paper', 'we', 'define', 'a', 'reduced', 'distance', 'function', 'based', 'at', 'a', 'point', 'at', 'the', 'singular', 'time', 'tinfty', 'of', 'a', 'ricci', 'flow', 'we', 'also', 'show', 'the', 'monotonicity', 'of', 'the', 'corresponding', 'reduced', 'volume', 'based', 'at', 'time', 't', 'with', 'equality', 'iff', 'the', 'ricci', 'flow', 'is', 'a', 'gradient', 'shrinking', 'soliton', 'our', 'curvature', 'bound', 'assumption', 'is', 'more', 'general', 'than', 'the', 'type', 'i', 'condition']] | [-0.15365859180081132, 0.11052538099959176, -0.1659754777595527, 0.04337349662880839, -0.07917573793112474, -0.16108285643602327, -0.006424440510997201, 0.32484581763461484, -0.2900257209094904, -0.17465295825721855, 0.14127230494859297, -0.2755464034123441, -0.10504571618354422, 0.13495065671218148, -0.06159271716566409, 0.00696436917188309, 0.040085042108608, 0.13299876910839545, -0.1376215853744139, -0.2410258428840819, 0.39453579479102363, 0.007542275239602994, 0.2634338201733969, 0.12487606158069635, 0.14293336706488566, -0.0619840979718177, 0.026658826697049505, 0.06109726554477366, -0.21948132914948768, 0.09096512052041116, 0.1512699104624532, 0.08980850379724624, 0.2895839342500194, -0.38149005136752534, -0.19929938731809793, 0.17700819895302844, 0.10355839941461208, 0.06430268547324053, -0.025372878053685318, -0.23091034528057455, 0.12812362276254444, -0.09151612222194672, -0.165026657099804, 0.02203757371319363, 0.031509784365988384, 0.002884970346497277, -0.2638302672086126, 0.130730357285001, 0.09521007032717689, 0.05838519875236424, -0.0438496668160088, -0.0771708302653663, -0.04984319215182657, 0.004255138669099848, 0.034343744201932924, 0.080048146018348, 0.10735094676709782, -0.070224747531337, -0.006478223823389764, 0.31330874682625093, -0.15355348686211134, -0.22784447583164705, 0.11226304734749246, -0.12484830551607123, -0.11522564757615328, 0.10100989918997985, 0.16020070396016461, 0.21629157902325613, -0.09299698415985805, 0.08609725330498512, -0.03669754221593424, 0.1393165455650641, 0.11158194512886516, -0.00786318292474311, 0.12338616345393455, 0.15691165122503448, 0.20405975745012195, 0.14669528228558315, -0.04027356205792245, -0.07969199924856045, -0.4083357745055425, -0.19929943519143262, -0.20267643923160888, 0.11086148643960893, -0.16784806751598746, -0.1253802667419284, 0.3690940133153887, 0.07013293941331616, 0.2180197223768396, 0.18866193837533562, 0.28610045115179306, 0.16111631239409227, 0.03846927015584404, 0.20115100931755062, 0.20274853560347425, 0.12070113570839798, 0.1419809705861923, -0.1956944262640456, 0.015062044895553992, 0.16071857191559116] |
711.0559 | Solution of the Cauchy Problem for a Time-Dependent Schoedinger Equation | We construct an explicit solution of the Cauchy initial value problem for the
n-dimensional Schroedinger equation with certain time-dependent Hamiltonian
operator of a modified oscillator. The dynamical SU(1,1) symmetry of the
harmonic oscillator wave functions, Bargmann's functions for the discrete
positive series of the irreducible representations of this group, the Fourier
integral of a weighted product of the Meixner-Pollaczek polynomials, a
Hankel-type integral transform and the hyperspherical harmonics are utilized in
order to derive the corresponding Green function. It is then generalized to a
case of the forced modified oscillator. The propagators for two models of the
relativistic oscillator are also found. An expansion formula of a plane wave in
terms of the hyperspherical harmonics and solution of certain infinite system
of ordinary differential equations are derived as a by-product.
| math-ph math.MP | we construct an explicit solution of the cauchy initial value problem for the ndimensional schroedinger equation with certain timedependent hamiltonian operator of a modified oscillator the dynamical su11 symmetry of the harmonic oscillator wave functions bargmanns functions for the discrete positive series of the irreducible representations of this group the fourier integral of a weighted product of the meixnerpollaczek polynomials a hankeltype integral transform and the hyperspherical harmonics are utilized in order to derive the corresponding green function it is then generalized to a case of the forced modified oscillator the propagators for two models of the relativistic oscillator are also found an expansion formula of a plane wave in terms of the hyperspherical harmonics and solution of certain infinite system of ordinary differential equations are derived as a byproduct | [['we', 'construct', 'an', 'explicit', 'solution', 'of', 'the', 'cauchy', 'initial', 'value', 'problem', 'for', 'the', 'ndimensional', 'schroedinger', 'equation', 'with', 'certain', 'timedependent', 'hamiltonian', 'operator', 'of', 'a', 'modified', 'oscillator', 'the', 'dynamical', 'su11', 'symmetry', 'of', 'the', 'harmonic', 'oscillator', 'wave', 'functions', 'bargmanns', 'functions', 'for', 'the', 'discrete', 'positive', 'series', 'of', 'the', 'irreducible', 'representations', 'of', 'this', 'group', 'the', 'fourier', 'integral', 'of', 'a', 'weighted', 'product', 'of', 'the', 'meixnerpollaczek', 'polynomials', 'a', 'hankeltype', 'integral', 'transform', 'and', 'the', 'hyperspherical', 'harmonics', 'are', 'utilized', 'in', 'order', 'to', 'derive', 'the', 'corresponding', 'green', 'function', 'it', 'is', 'then', 'generalized', 'to', 'a', 'case', 'of', 'the', 'forced', 'modified', 'oscillator', 'the', 'propagators', 'for', 'two', 'models', 'of', 'the', 'relativistic', 'oscillator', 'are', 'also', 'found', 'an', 'expansion', 'formula', 'of', 'a', 'plane', 'wave', 'in', 'terms', 'of', 'the', 'hyperspherical', 'harmonics', 'and', 'solution', 'of', 'certain', 'infinite', 'system', 'of', 'ordinary', 'differential', 'equations', 'are', 'derived', 'as', 'a', 'byproduct']] | [-0.16194550779719766, 0.08350439221137024, -0.12376248185733298, 0.07791178664550759, -0.07889367115074912, -0.07543432094747773, -0.051552039198577405, 0.29869530571338077, -0.28531050646068673, -0.18844880644375314, 0.09441453688240682, -0.2771171709056944, -0.17737394613572038, 0.1960373359033838, 0.025476233202677508, 0.1084325254178391, 0.038948026876180215, 0.0960838346151062, -0.13508097394727744, -0.1887560710669137, 0.357890649447934, -0.005967310881421256, 0.20595716768517516, -0.03843498608957117, 0.17476129594187323, 0.018010608635198037, 0.003014248086569401, -0.08164594021912377, -0.10939370473810973, 0.13643365932109122, 0.21886516274078952, 0.059156249080283135, 0.2409389487736357, -0.41488454191444013, -0.1748574223727561, 0.12313174567400263, 0.16707912870109654, 0.09517136293535049, 0.005760367286319916, -0.2904084464732128, -0.034597140504047275, -0.2125408986959463, -0.2239959313032719, -0.08991357755954736, 0.03926413034876952, 0.08794987124677461, -0.29906735757652386, 0.0985463618155336, 0.05015491470224403, 0.02815401619300246, -0.13383764186694933, -0.10349704316870954, -0.032090325474452515, 0.06127886338732563, -0.013389812821808915, 0.014740134943097543, 0.04287207485176623, -0.10047456690719207, -0.0786846269101191, 0.40054589892522646, -0.09133556282434326, -0.31041557493691263, 0.06486881542771768, -0.16369781580825266, -0.10245266158062105, 0.11790895355829539, 0.1505665994177644, 0.15689042499288916, -0.14123889875884812, 0.12125379347081225, -0.056892148971047184, 0.09292429037517509, 0.11026182877831162, -0.007756004084904606, 0.10197033368659994, 0.028609917828669916, 0.056362293230799526, 0.19506680720414107, 0.00928812828541805, -0.11708465543432305, -0.36152800156806525, -0.1732590743412192, -0.21047640649798827, 0.07399355157417281, -0.13671111080844778, -0.2219011755588536, 0.43826929885320937, 0.033992010132911116, 0.13199565101128358, 0.07558826681656333, 0.22949885730273448, 0.29483178598859994, 0.030289086803364066, 0.002737841991564402, 0.18554778104074873, 0.22305760038837505, 0.07767187731627088, -0.24510461936274974, -0.08572954429815022, 0.20410652505950286] |
711.056 | On the large-distance asymptotics of steady state solutions of the
Navier-Stokes equations in 3D exterior domains | We identify the leading term describing the behavior at large distances of
the steady state solutions of the Navier-Stokes equations in 3D exterior
domains with vanishing velocity at the spatial infinity.
| math.AP | we identify the leading term describing the behavior at large distances of the steady state solutions of the navierstokes equations in 3d exterior domains with vanishing velocity at the spatial infinity | [['we', 'identify', 'the', 'leading', 'term', 'describing', 'the', 'behavior', 'at', 'large', 'distances', 'of', 'the', 'steady', 'state', 'solutions', 'of', 'the', 'navierstokes', 'equations', 'in', '3d', 'exterior', 'domains', 'with', 'vanishing', 'velocity', 'at', 'the', 'spatial', 'infinity']] | [-0.19105500775960185, 0.08228312868384584, -0.0748281953856349, -0.000370119217663042, -0.029477348295791496, -0.09865581586716636, -0.07942969219819192, 0.20286625124994787, -0.30204572925163853, -0.2423926043894983, 0.12218658169055538, -0.3279893967893816, -0.024700362655904987, 0.0749793166835462, 0.025785807670364456, 0.0774101156294496, 0.05056420422249263, 0.05090597688010143, -0.09785435492953946, -0.16065028756706706, 0.41190696459624077, -0.043520023084936604, 0.3006632387818348, 0.011519225134003547, 0.1856137098117371, -0.1113979552511967, 0.014340315404678545, 0.04306726422040693, -0.19577209789666436, 0.042894831768447356, 0.24356176253528364, -0.010183141660696317, 0.2690537520233662, -0.46911000760812915, -0.21175536489294422, 0.051268664504131, 0.15865819366468537, 0.18268807146758323, 0.04155521685137383, -0.31543166806260425, 0.07712547499085626, -0.12119545174702522, -0.3095155872644917, -0.044412970693121036, 0.0465030447249451, 0.08165750573689659, -0.20639320270669076, 0.16372875980431995, 0.02939265078654693, 0.05961388637473236, -0.1808622494159687, -0.06558074163753659, -0.04626885149627924, 0.17694952329921146, 0.120132454753583, 0.006059835905269269, 0.019041212440858924, -0.23090451571249193, -0.017356926575303078, 0.32553072453987214, -0.12221067588055326, -0.29461093362601054, 0.24043550126014218, -0.24093147460371256, -0.019288140649516738, 0.17542265577902716, 0.2132412451619823, 0.17158473242307082, -0.10144866540306999, 0.11881474916252398, 0.01520286752812324, 0.13130710784706376, 0.12568278298262628, 0.008232846886159913, 0.1985388151820629, 0.1255261782676943, 0.10170303750783205, 0.12659400073631155, -0.15529006644482574, -0.1674058756100074, -0.36988509230075345, -0.12878034699467883, -0.14522972468647263, 0.08149666297099283, -0.19449036620977905, -0.201916970613022, 0.38254263528412386, 0.12438407217362715, 0.20500272848913748, 0.08461751653662612, 0.24111018125568667, 0.15376299926109852, 0.057843754188187664, 0.14296363029749162, 0.2260114213211402, 0.1121786049747419, 0.22631161918322887, -0.28293906557824344, 0.04228462792572475, 0.1451570991006109] |
711.0561 | Variational theory of two-fluid hydrodynamic modes at unitarity | We present the results of a variational calculation of the frequencies of the
low-lying Landau two-fluid hydrodynamic modes in a trapped Fermi superfluid gas
at unitarity. Landau's two-fluid hydrodynamics is expected to be the correct
theory of Fermi superfluids at finite temperatures close to unitarity, where
strong interactions give rise to collisional hydrodynamics. Two-fluid
hydrodynamics predicts the existence of in-phase modes in which the superfluid
and normal fluid components oscillate together, as well as out-of-phase modes
where the two components move against each other. We prove that at unitarity,
the dipole and breathing in-phase modes are locally isentropic. Their
frequencies are independent of temperature and are the same above and below the
superfluid transition. The out-of-phase modes, in contrast, are strongly
dependent on temperature and hence, can be used to test the thermodynamic
properties and superfluid density of a Fermi gas at unitarity. We give
numerical results for the frequencies of these new modes as function of
temperature in an isotropic trap at unitarity.
| cond-mat.other | we present the results of a variational calculation of the frequencies of the lowlying landau twofluid hydrodynamic modes in a trapped fermi superfluid gas at unitarity landaus twofluid hydrodynamics is expected to be the correct theory of fermi superfluids at finite temperatures close to unitarity where strong interactions give rise to collisional hydrodynamics twofluid hydrodynamics predicts the existence of inphase modes in which the superfluid and normal fluid components oscillate together as well as outofphase modes where the two components move against each other we prove that at unitarity the dipole and breathing inphase modes are locally isentropic their frequencies are independent of temperature and are the same above and below the superfluid transition the outofphase modes in contrast are strongly dependent on temperature and hence can be used to test the thermodynamic properties and superfluid density of a fermi gas at unitarity we give numerical results for the frequencies of these new modes as function of temperature in an isotropic trap at unitarity | [['we', 'present', 'the', 'results', 'of', 'a', 'variational', 'calculation', 'of', 'the', 'frequencies', 'of', 'the', 'lowlying', 'landau', 'twofluid', 'hydrodynamic', 'modes', 'in', 'a', 'trapped', 'fermi', 'superfluid', 'gas', 'at', 'unitarity', 'landaus', 'twofluid', 'hydrodynamics', 'is', 'expected', 'to', 'be', 'the', 'correct', 'theory', 'of', 'fermi', 'superfluids', 'at', 'finite', 'temperatures', 'close', 'to', 'unitarity', 'where', 'strong', 'interactions', 'give', 'rise', 'to', 'collisional', 'hydrodynamics', 'twofluid', 'hydrodynamics', 'predicts', 'the', 'existence', 'of', 'inphase', 'modes', 'in', 'which', 'the', 'superfluid', 'and', 'normal', 'fluid', 'components', 'oscillate', 'together', 'as', 'well', 'as', 'outofphase', 'modes', 'where', 'the', 'two', 'components', 'move', 'against', 'each', 'other', 'we', 'prove', 'that', 'at', 'unitarity', 'the', 'dipole', 'and', 'breathing', 'inphase', 'modes', 'are', 'locally', 'isentropic', 'their', 'frequencies', 'are', 'independent', 'of', 'temperature', 'and', 'are', 'the', 'same', 'above', 'and', 'below', 'the', 'superfluid', 'transition', 'the', 'outofphase', 'modes', 'in', 'contrast', 'are', 'strongly', 'dependent', 'on', 'temperature', 'and', 'hence', 'can', 'be', 'used', 'to', 'test', 'the', 'thermodynamic', 'properties', 'and', 'superfluid', 'density', 'of', 'a', 'fermi', 'gas', 'at', 'unitarity', 'we', 'give', 'numerical', 'results', 'for', 'the', 'frequencies', 'of', 'these', 'new', 'modes', 'as', 'function', 'of', 'temperature', 'in', 'an', 'isotropic', 'trap', 'at', 'unitarity']] | [-0.14746306114617122, 0.29167596471757506, -0.1033945939183823, 0.049541770526713394, -0.03773462356681504, -0.15683224226813763, 0.030634510641060087, 0.2960793041658202, -0.23265161197178247, -0.2225319081917405, 0.01602687537045468, -0.3289369101885979, -0.0257447354450095, 0.15255108554620386, 0.05684134770658935, 0.03977430045104972, -0.012094471170623764, 0.02075406225652309, -0.09659853630284665, -0.17371982945237172, 0.310786510820546, 0.05446440874167332, 0.29249214373597104, 0.07730563795307606, 0.03905295351912018, -0.05972378189028127, 0.06906215336298706, 0.007531151635481454, -0.17120830242674856, -0.01688841981359008, 0.27756087778408717, -0.03244761117169152, 0.18208048857248774, -0.4771911428400838, -0.19291674091889546, 0.028712070965855496, 0.16855787074125214, 0.17440326444495174, 0.012301735419541507, -0.2592937219433668, -0.020379271159493704, -0.1526181319751209, -0.21393669990073072, -0.1358157326751275, -0.016010676296257482, 0.03402261217990776, -0.23978942239702475, 0.17095184043083886, 0.06158422951362232, 0.06719559978512002, -0.10938774136451596, -0.10004481410312398, -0.06532277923188082, 0.056519681902633546, 0.06278803993141414, 0.004322931687234015, 0.13941946001947012, -0.1391807748146764, -0.03566012152459291, 0.39602922575502864, -0.1031416891335805, -0.1553050731763062, 0.2596579926690405, -0.19890094941436517, -0.06882089641649367, 0.16584148073551905, 0.16027086070687624, 0.045593722987488455, -0.07300394956908393, 0.012338217392580857, -0.04599573692979814, 0.12230878452935097, 0.10167548654419256, 0.03642723048332988, 0.30540496542504647, 0.13146800464661593, 0.020347965065522614, 0.11368209140825301, -0.10778573670327982, -0.057623143997838404, -0.35398055048568583, -0.12024444012005427, -0.19344579560608352, -0.04469702853934794, -0.05185109771814385, -0.1938003123703799, 0.3863657213173943, 0.1278012322500439, 0.18187874824194827, 0.04032066421904147, 0.3008555400940567, 0.1496900064848, 0.020017600872428952, 0.1111640467382286, 0.32358844280129345, 0.18467869441076068, 0.050889061201681816, -0.3147047445385308, -0.04566920965785024, 0.07986483662587977] |
711.0562 | Inverse scattering for the nonlinear Schr\"{o}dinger equation with the
Yukawa potential | We study the inverse scattering problem for the three dimensional nonlinear
Schroedinger equation with the Yukawa potential. The nonlinearity of the
equation is nonlocal. We reconstruct the potential and the nonlinearity by the
knowledge of the scattering states. Our result is applicable to reconstructing
the nonlinearity of the semi-relativistic Hartree equation.
| math.AP math.FA | we study the inverse scattering problem for the three dimensional nonlinear schroedinger equation with the yukawa potential the nonlinearity of the equation is nonlocal we reconstruct the potential and the nonlinearity by the knowledge of the scattering states our result is applicable to reconstructing the nonlinearity of the semirelativistic hartree equation | [['we', 'study', 'the', 'inverse', 'scattering', 'problem', 'for', 'the', 'three', 'dimensional', 'nonlinear', 'schroedinger', 'equation', 'with', 'the', 'yukawa', 'potential', 'the', 'nonlinearity', 'of', 'the', 'equation', 'is', 'nonlocal', 'we', 'reconstruct', 'the', 'potential', 'and', 'the', 'nonlinearity', 'by', 'the', 'knowledge', 'of', 'the', 'scattering', 'states', 'our', 'result', 'is', 'applicable', 'to', 'reconstructing', 'the', 'nonlinearity', 'of', 'the', 'semirelativistic', 'hartree', 'equation']] | [-0.10123217219085086, 0.0408799257312043, -0.04728634472863347, 0.07932384523070034, -0.09209016522885684, -0.12960226596424393, -0.07775809298105099, 0.2668435651005483, -0.30790214708038405, -0.24179889477205044, 0.041976571649166884, -0.3522488196910012, -0.16958175073651707, 0.13945434731887837, 0.0844134207741887, 0.11960962460394584, 0.03795564795533816, 0.0015931450487936243, -0.04626276618892364, -0.23149868897071071, 0.44074768428782035, -0.037050144034711754, 0.20874067154877327, 0.09464909859439906, 0.112384794161235, 0.04908040994047826, 0.025226081155386625, -0.06589197382038715, -0.11777125555090606, 0.11288561935961137, 0.17269094229913226, 0.02247618920370644, 0.2645152064369005, -0.429255395178117, -0.28198348495232706, 0.09569035370962001, 0.10266489667050979, 0.20199377429397666, -0.05502918994455945, -0.34002040706428827, -0.014842286505097268, -0.0828301006672429, -0.23933996449169867, -0.042715495963599165, 0.01851247008615995, 0.015919050398081832, -0.3095752803207028, 0.1737409813247402, 0.05487335895133369, -0.09151559067415256, -0.15915711287080364, -0.05957626767785234, -0.007302192510014363, 0.035132852930794746, 0.013220973413291514, -0.014891809176690146, 0.028293353797612237, -0.20753309395641897, -0.050346646512694215, 0.4016892882246597, -0.09485757420314293, -0.2626938486070025, 0.13463193207394844, -0.13954407483448877, -0.02053824877001199, 0.10795669728780494, 0.18651747295413823, 0.11073365060649082, -0.1976392835049945, 0.1992275832465156, -0.017373379237730715, 0.14523005295617908, 0.05139664497555179, -0.022279178650647987, 0.04731178038990965, 0.21188818885232596, 0.036110096611082554, 0.11264511468071564, -0.07724057853806253, -0.09450429134691755, -0.34776929780548693, -0.1332798975099828, -0.23480605397957796, 0.10446315817534924, -0.1139153348023469, -0.15289832921881302, 0.44076820755121754, 0.16219350338945457, 0.13514637380984484, 0.01817569136619568, 0.27698977729853463, 0.27972266941066537, 0.021046584892068423, 0.018840870473022554, 0.28524599070934686, 0.21240065583283557, 0.133970281595419, -0.3488627886810504, -0.04182015308498533, 0.07846890495834398] |
711.0563 | KM3NeT: A Next Generation Neutrino Telescope in the Mediterranean Sea | To complement the IceCube neutrino telescope currently under construction at
the South Pole, the three Mediterranean neutrino telescope projects ANTARES,
NEMO and NESTOR have joined forces to develop, construct and operate a
km^3-scale neutrino telescope in the Mediterranean Sea. Since February 2006,
the technical specifications and performance of such a detector are studied in
the framework of a 3-year EU-funded Design Study. In 2009 a technical design
report will be released laying the foundations for the construction of the
detector. In the following, the current status of the Design Study is presented
and examples of solutions for the technical challenges are discussed.
| astro-ph | to complement the icecube neutrino telescope currently under construction at the south pole the three mediterranean neutrino telescope projects antares nemo and nestor have joined forces to develop construct and operate a km3scale neutrino telescope in the mediterranean sea since february 2006 the technical specifications and performance of such a detector are studied in the framework of a 3year eufunded design study in 2009 a technical design report will be released laying the foundations for the construction of the detector in the following the current status of the design study is presented and examples of solutions for the technical challenges are discussed | [['to', 'complement', 'the', 'icecube', 'neutrino', 'telescope', 'currently', 'under', 'construction', 'at', 'the', 'south', 'pole', 'the', 'three', 'mediterranean', 'neutrino', 'telescope', 'projects', 'antares', 'nemo', 'and', 'nestor', 'have', 'joined', 'forces', 'to', 'develop', 'construct', 'and', 'operate', 'a', 'km3scale', 'neutrino', 'telescope', 'in', 'the', 'mediterranean', 'sea', 'since', 'february', '2006', 'the', 'technical', 'specifications', 'and', 'performance', 'of', 'such', 'a', 'detector', 'are', 'studied', 'in', 'the', 'framework', 'of', 'a', '3year', 'eufunded', 'design', 'study', 'in', '2009', 'a', 'technical', 'design', 'report', 'will', 'be', 'released', 'laying', 'the', 'foundations', 'for', 'the', 'construction', 'of', 'the', 'detector', 'in', 'the', 'following', 'the', 'current', 'status', 'of', 'the', 'design', 'study', 'is', 'presented', 'and', 'examples', 'of', 'solutions', 'for', 'the', 'technical', 'challenges', 'are', 'discussed']] | [-0.10623343694297706, 0.14217718053316952, -0.040764897901966586, 0.09587938879621123, -0.08115004647212724, -0.07959841287640088, -0.006089517412999389, 0.3085336640828709, -0.13407438738367466, -0.34585709913688545, 0.18858747622317762, -0.30483815839340656, -0.14908451599744604, 0.23125666716391696, -0.054795783958123886, 0.017289266647661432, 0.1651883886980952, -0.05769676008426091, -0.037686778132018504, -0.2781394037381545, 0.2618333757124549, 0.18591111534110763, 0.3004486174687889, 0.06232529978311219, 0.14891860470194004, -0.08676451836785704, -0.11879792284019583, -0.08138054927044056, -0.11968217183854066, 0.07727296282445975, 0.32304128589948605, 0.1838632936055279, 0.2037298390915727, -0.40780418411846836, -0.1294152654254325, 0.057414874954916095, 0.02622590178632926, 0.004708875025458196, -0.04339931926270034, -0.3591317711945842, 0.02720072339562809, -0.2024056821440657, -0.2148394553748635, 0.041295952327987724, -0.041500784548036025, 0.02150172718307551, -0.20200432426131823, -0.10058328201172545, -0.03284020426080508, 0.07391021888378971, -0.03831013035047434, -0.19870862373443066, 0.03872194390072871, 0.13279401369429394, 0.03277040948388258, 0.021420307030590873, 0.08852967857976682, -0.119042536134229, -0.09099167245714103, 0.3446271434499353, 0.002327408068630771, -0.08534861580633066, 0.1294265253304997, -0.15086610072895007, -0.19064136422878386, 0.08936827399713151, 0.24048233884341066, 0.021474270843992047, -0.2565655286661258, 0.1334049327495307, -0.021615472658738203, 0.11187834316846348, 0.0981234762173913, -0.029326188058464552, 0.2481115465052426, 0.29335676750862133, 0.12491136486413797, 0.09515288661065165, -0.1844459374745687, -0.051667632708581636, -0.3663262460819062, -0.11993426673043538, -0.10051592267757538, 0.03227347925341889, 0.07773099198775348, -0.1210152907114403, 0.4504665425595115, 0.14591076252434185, 0.09617249631122046, 0.004417114971004718, 0.2946603973670041, -0.025679494454023226, 0.06041882666028744, 0.05529563910985256, 0.32560270385561035, 0.07091187928602391, 0.17705079929574447, -0.18322440523508132, -0.0005193398580612505, 0.06346387822664909] |
711.0564 | A framework for large-scale relativistic simulations in the
characteristic approach | We present a new computational framework (LEO), that enables us to carry out
the very first large-scale, high-resolution computations in the context of the
characteristic approach in numerical relativity. At the analytic level, our
approach is based on a new implementation of the ``eth'' formalism, using a
non-standard representation of the spin-raising and lowering angular operators
in terms of non-conformal coordinates on the sphere; we couple this formalism
to a partially first-order reduction (in the angular variables) of the Einstein
equations. The numerical implementation of our approach supplies the basic
building blocks for a highly parallel, easily extensible numerical code. We
demonstrate the adaptability and excellent scaling of our numerical code by
solving, within our numerical framework, for a scalar field minimally coupled
to gravity (the Einstein-Klein-Gordon problem) in 3-dimensions. The nonlinear
code is globally second-order convergent, and has been extensively tested using
as reference a calibrated code with the same boundary-initial data and radial
marching algorithm. In this context, we show how accurately we can follow
quasi-normal mode ringing. In the linear regime, we show energy conservation
for a number of initial data sets with varying angular structure. A striking
result that arises in this context is the saturation of the flow of energy
through the Schwarzschild radius. As a final calibration check we perform a
large simulation with resolution never achieved before.
| gr-qc | we present a new computational framework leo that enables us to carry out the very first largescale highresolution computations in the context of the characteristic approach in numerical relativity at the analytic level our approach is based on a new implementation of the eth formalism using a nonstandard representation of the spinraising and lowering angular operators in terms of nonconformal coordinates on the sphere we couple this formalism to a partially firstorder reduction in the angular variables of the einstein equations the numerical implementation of our approach supplies the basic building blocks for a highly parallel easily extensible numerical code we demonstrate the adaptability and excellent scaling of our numerical code by solving within our numerical framework for a scalar field minimally coupled to gravity the einsteinkleingordon problem in 3dimensions the nonlinear code is globally secondorder convergent and has been extensively tested using as reference a calibrated code with the same boundaryinitial data and radial marching algorithm in this context we show how accurately we can follow quasinormal mode ringing in the linear regime we show energy conservation for a number of initial data sets with varying angular structure a striking result that arises in this context is the saturation of the flow of energy through the schwarzschild radius as a final calibration check we perform a large simulation with resolution never achieved before | [['we', 'present', 'a', 'new', 'computational', 'framework', 'leo', 'that', 'enables', 'us', 'to', 'carry', 'out', 'the', 'very', 'first', 'largescale', 'highresolution', 'computations', 'in', 'the', 'context', 'of', 'the', 'characteristic', 'approach', 'in', 'numerical', 'relativity', 'at', 'the', 'analytic', 'level', 'our', 'approach', 'is', 'based', 'on', 'a', 'new', 'implementation', 'of', 'the', 'eth', 'formalism', 'using', 'a', 'nonstandard', 'representation', 'of', 'the', 'spinraising', 'and', 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711.0565 | Normal generation of very ample line bundles on toric varieties | The article has been withdrawn by the author due to the existence of
counterexamples.
| math.AG math.CO | the article has been withdrawn by the author due to the existence of counterexamples | [['the', 'article', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'the', 'existence', 'of', 'counterexamples']] | [-0.11857363129300731, -0.021155707238774215, -0.12942768628376403, -0.016570233207728182, -0.14241167982774122, -0.06095724646002054, -0.027569616213440895, 0.2551120568865112, -0.2442321354257209, -0.35010366088577677, 0.16169967222958803, -0.34908019698091913, -0.1305982024808015, 0.08456634344266993, -0.24679644552192517, 0.09118466771074704, 0.009134063231093543, -0.05567500740289688, 0.01814956364354917, -0.3861379769431161, 0.38696399597185, 0.13218364146138942, 0.23783764921660935, 0.2877881234245641, 0.0367832489178649, -0.0948326077112662, -0.09899447525718383, -0.039178937673568726, -0.187337817092027, 0.12928544064717634, 0.21358652412891388, 0.028843725283098007, 0.4164962811129434, -0.3612025225801127, -0.19838428829929658, 0.20432871926043714, 0.12573240916909917, 0.16890589972691877, -0.11094223508345229, -0.4055021355327751, 0.25055665748992134, -0.2672504543193749, -0.21444754478787736, -0.04516124113329819, 0.12061071103172642, -0.04806729479293738, -0.05520356872252056, 0.032635831141046116, 0.2186237344784396, 0.1666584491197552, -0.019013757684401104, -0.0956809617179845, 0.01587348072124379, 0.1344379974263055, 0.2713167353400162, 0.07827896634781999, -0.07689489031742726, -0.05003554533634867, -0.14588904713413545, 0.341156824358872, 0.0542435043358377, -0.17117483953812293, 0.15156610576169832, -0.03647391767507153, -0.1174745394715241, 0.2030837679547923, 0.10710766479106885, 0.0818113611811506, -0.21606143058410712, 0.26071682732020107, -0.10714636550151876, 0.09100440490458693, 0.2578417157887348, -0.050883928313851357, 0.11820842006376811, 0.07437317046735968, 0.04841656909723367, 0.21211119954075133, 4.4735680733408246e-05, -0.017537606148315326, -0.23607788660696574, -0.1853125744632312, -0.27130260185471605, 0.0697508955241314, 0.20623792774443114, -0.08665700196953756, 0.44128645211458206, 0.19226497252072608, 0.1193701976111957, -0.055795447900891304, 0.2247070474550128, 0.13412845060728223, 0.08290614001452923, -0.031000197998114994, 0.31576597574166954, 0.24715566769840994, 0.17044034932873078, -0.0954217477036374, 0.28454741053948446, 0.22920406662992068] |
711.0566 | Revisiting the pentaquark episode for lattice QCD | This work revisits the pentaquark episode, particularly in reference to
lattice QCD, to collect in one place the lessons that have been or should be
learnt. This also examines whether, and if yes, where, there might be any
prospect for future studies of pentaquarks and the role of lattice QCD in it.
Tests such as volume dependence, and hybrid boundary conditions to distinguish
bound and scattering states are identified as the positives to take forward
from this episode. On the other hand it is also observed that pentaquarks with
heavier quark content and in the $SU(3)_f$ limit may still be worth not
forgetting, and in that case lattice QCD may have an important role to play.
| hep-lat hep-ph | this work revisits the pentaquark episode particularly in reference to lattice qcd to collect in one place the lessons that have been or should be learnt this also examines whether and if yes where there might be any prospect for future studies of pentaquarks and the role of lattice qcd in it tests such as volume dependence and hybrid boundary conditions to distinguish bound and scattering states are identified as the positives to take forward from this episode on the other hand it is also observed that pentaquarks with heavier quark content and in the su3_f limit may still be worth not forgetting and in that case lattice qcd may have an important role to play | [['this', 'work', 'revisits', 'the', 'pentaquark', 'episode', 'particularly', 'in', 'reference', 'to', 'lattice', 'qcd', 'to', 'collect', 'in', 'one', 'place', 'the', 'lessons', 'that', 'have', 'been', 'or', 'should', 'be', 'learnt', 'this', 'also', 'examines', 'whether', 'and', 'if', 'yes', 'where', 'there', 'might', 'be', 'any', 'prospect', 'for', 'future', 'studies', 'of', 'pentaquarks', 'and', 'the', 'role', 'of', 'lattice', 'qcd', 'in', 'it', 'tests', 'such', 'as', 'volume', 'dependence', 'and', 'hybrid', 'boundary', 'conditions', 'to', 'distinguish', 'bound', 'and', 'scattering', 'states', 'are', 'identified', 'as', 'the', 'positives', 'to', 'take', 'forward', 'from', 'this', 'episode', 'on', 'the', 'other', 'hand', 'it', 'is', 'also', 'observed', 'that', 'pentaquarks', 'with', 'heavier', 'quark', 'content', 'and', 'in', 'the', 'su3_f', 'limit', 'may', 'still', 'be', 'worth', 'not', 'forgetting', 'and', 'in', 'that', 'case', 'lattice', 'qcd', 'may', 'have', 'an', 'important', 'role', 'to', 'play']] | [-0.042786980272624, 0.19328831126303753, -0.1296249758452177, 0.11051812853211546, -0.11643443651023674, -0.13736303760830698, 0.07811163070386853, 0.39990441401585425, -0.22185687735628593, -0.2636887139584548, 0.12674396011299968, -0.2960980752069535, -0.11754501822348364, 0.14348652239302814, -0.03464263335576859, 0.03240971777443614, 0.081801857023524, 0.046417014966397704, -0.015627529971895676, -0.29537197725108727, 0.32867191315243216, 0.048430818301657665, 0.2092496109323512, 0.14009400260843466, -0.00660688627575492, -0.029206427014914566, 0.009905046289626124, -0.026825184291549797, -0.07993078056655388, 0.03461022285246772, 0.2905683324020958, 0.12159999727536443, 0.23451249301433563, -0.42819189453690215, -0.2209181889373777, 0.14129994151278816, 0.17830923449344419, 0.10893432291802661, -0.07183592930408034, -0.25544252491291164, 0.12955997149803242, -0.16257402473450477, -0.12821633516859007, -0.10042551059099235, 0.0394647581350251, -0.061005540299133985, -0.2646546898477968, 0.036737244298725776, 0.047093332227287364, 0.027872138078613527, -0.015983600675224745, -0.169173904060354, -0.026359533345134092, 0.1293457499966186, 0.12231699935891184, 0.08867142467904066, 0.09609279409853806, -0.17375057112979542, -0.14031662186607718, 0.45350784499294544, -0.023167799241491593, -0.1867466527679614, 0.1730371401444527, -0.15778510389721084, -0.2183078277498837, 0.054814918199554086, 0.1760416840973856, 0.0583769550811949, -0.15286814644611602, 0.019542245536536815, -0.05111510581075985, 0.1673071906813581, 0.08083223202065083, 0.08728252925733425, 0.26941455295309424, 0.16380523137973044, 0.02232864345745023, 0.09243168475222774, -0.04272025519307574, -0.11276723657220859, -0.30872914779545935, -0.132066152926137, -0.13940884772656037, 0.06418188009248015, -0.01880769986696421, -0.10327166376699662, 0.3109956057742238, 0.19088350127025605, 0.2245779511486662, -0.0631554647758282, 0.24937792475624332, 0.08826034976739501, 0.09107887321794085, 0.07142212054419235, 0.2911468448823896, 0.070105974498237, 0.10264643982197319, -0.21218368424913556, 0.08311184250011013, 0.039772770628493666] |
711.0567 | Phonons in SrTiO3 analyzed by difference bond-length spectrum | Phonons change remarkable the interatomic bond length in solids and this work
suggest a novel method how this behavior can be displayed and analyzed. The
bond-length spectrum is plotted for each of the different atomic bonding types.
When comparing the bond-length to an un-deformed crystal by the so-called
difference bond length spectrum, the effect of phonons is clearly visible. The
Perovskite lattice of SrTiO3 is used as an example and several lattice
vibration modes are applied in a frozen phonon calculation in a 2x2x2
supercell. Ab-initio DFT simulations using the Vasp software were performed to
calculate the density of states. The results show the important finding
reported here first, that certain phonon interactions with shorter Ti-O bonds
decrease the band gap, while changes in the Sr-Ti bond length enlarge the band
gap.
| cond-mat.mtrl-sci | phonons change remarkable the interatomic bond length in solids and this work suggest a novel method how this behavior can be displayed and analyzed the bondlength spectrum is plotted for each of the different atomic bonding types when comparing the bondlength to an undeformed crystal by the socalled difference bond length spectrum the effect of phonons is clearly visible the perovskite lattice of srtio3 is used as an example and several lattice vibration modes are applied in a frozen phonon calculation in a 2x2x2 supercell abinitio dft simulations using the vasp software were performed to calculate the density of states the results show the important finding reported here first that certain phonon interactions with shorter tio bonds decrease the band gap while changes in the srti bond length enlarge the band gap | [['phonons', 'change', 'remarkable', 'the', 'interatomic', 'bond', 'length', 'in', 'solids', 'and', 'this', 'work', 'suggest', 'a', 'novel', 'method', 'how', 'this', 'behavior', 'can', 'be', 'displayed', 'and', 'analyzed', 'the', 'bondlength', 'spectrum', 'is', 'plotted', 'for', 'each', 'of', 'the', 'different', 'atomic', 'bonding', 'types', 'when', 'comparing', 'the', 'bondlength', 'to', 'an', 'undeformed', 'crystal', 'by', 'the', 'socalled', 'difference', 'bond', 'length', 'spectrum', 'the', 'effect', 'of', 'phonons', 'is', 'clearly', 'visible', 'the', 'perovskite', 'lattice', 'of', 'srtio3', 'is', 'used', 'as', 'an', 'example', 'and', 'several', 'lattice', 'vibration', 'modes', 'are', 'applied', 'in', 'a', 'frozen', 'phonon', 'calculation', 'in', 'a', '2x2x2', 'supercell', 'abinitio', 'dft', 'simulations', 'using', 'the', 'vasp', 'software', 'were', 'performed', 'to', 'calculate', 'the', 'density', 'of', 'states', 'the', 'results', 'show', 'the', 'important', 'finding', 'reported', 'here', 'first', 'that', 'certain', 'phonon', 'interactions', 'with', 'shorter', 'tio', 'bonds', 'decrease', 'the', 'band', 'gap', 'while', 'changes', 'in', 'the', 'srti', 'bond', 'length', 'enlarge', 'the', 'band', 'gap']] | [-0.12649164534752455, 0.19955032402989067, -0.07150853914429194, 0.046839376502303465, 0.0004507976894577344, -0.11993581306711404, 0.0828816498855524, 0.4377470418359294, -0.30029115465709544, -0.24130158591309958, -0.003599422193612113, -0.31180260646876623, -0.15512996749021113, 0.1417558584221159, 0.04852648272362509, 0.01588979355680446, 0.037555552295860696, -0.04735653538778989, -0.09272051893463923, -0.2032013792036609, 0.22971985500242392, 0.093397831612189, 0.33456615825310687, 0.11856190911070867, -0.03722134031087273, 0.023068452843069805, 0.06522205261915753, 0.008205589654883652, -0.1806017634070017, 0.11561931840901019, 0.2513368531521833, -0.08695454640507126, 0.2152237682356358, -0.4578672735034629, -0.23286560253649385, -0.015597948515223283, 0.1412346525519917, 0.16162386062293962, 0.004262381586048639, -0.21912178467380616, 0.02524163428461179, -0.16183551669360674, -0.12466980040357378, -0.06044997741948023, 0.024789760834678556, 0.014637277406467492, -0.18832710096753683, 0.0882491184130424, -0.004231565220944696, 0.112690308554606, -0.113656485936548, -0.1560280196964882, -0.10397110273003239, 0.10000942498608668, 0.06086021532114087, 0.0318784643843008, 0.16016977806716706, -0.024935861619076495, -0.11998655300262864, 0.4396177250045267, -0.05914072121430019, -0.09967173006655437, 0.13290528062674584, -0.11524730786825813, -0.0884837532348959, 0.1803392014857805, 0.06000404455478543, 0.07300358972773238, -0.11824391108254503, 0.0414314891258431, 0.008460433561898148, 0.24506743633625747, 0.09318990693215957, 0.062366620256921815, 0.16542714204864972, 0.15754311294541834, 0.006590194620939931, 0.16357065641381213, -0.12466487088628735, -0.057110528694465756, -0.23535672674893937, -0.14963705406989902, -0.26107053356033494, -0.019930136143088792, -0.09925593847065377, -0.1978900820849407, 0.4229624229412752, 0.1085563124550831, 0.14370614400126436, -0.004935815803367983, 0.203756802328192, 0.11095980265103704, 0.10110555495537649, 0.014418992545512137, 0.26193289385374746, 0.13101681022266293, 0.053984836775767195, -0.3164458616008756, 0.07440546936016869, 0.012553716875669179] |
711.0568 | Computing Ground States of Spin-1 Bose-Einstein Condensates by the
Normalized Gradient Flow | In this paper, we propose an efficient and accurate numerical method for
computing the ground state of spin-1 Bose-Einstein condensates (BEC) by using
the normalized gradient flow or imaginary time method. The key idea is to find
a third projection or normalization condition based on the relation between the
chemical potentials so that the three projection parameters used in the
projection step of the normalized gradient flow are uniquely determined by this
condition as well as the other two physical conditions given by the
conservation of total mass and total magnetization. This allows us to
successfully extend the most popular and powerful normalized gradient flow or
imaginary time method for computing the ground state of single component BEC to
compute the ground state of spin-1 BEC. An efficient and accurate
discretization scheme, the backward-forward Euler sine-pseudospectral method
(BFSP), is proposed to discretize the normalized gradient flow. Extensive
numerical results on ground states of spin-1 BEC with
ferromagnetic/antiferromagnetic interaction and harmonic/optical lattice
potential in one/three dimensions are reported to demonstrate the efficiency of
our new numerical method.
| cond-mat.mtrl-sci | in this paper we propose an efficient and accurate numerical method for computing the ground state of spin1 boseeinstein condensates bec by using the normalized gradient flow or imaginary time method the key idea is to find a third projection or normalization condition based on the relation between the chemical potentials so that the three projection parameters used in the projection step of the normalized gradient flow are uniquely determined by this condition as well as the other two physical conditions given by the conservation of total mass and total magnetization this allows us to successfully extend the most popular and powerful normalized gradient flow or imaginary time method for computing the ground state of single component bec to compute the ground state of spin1 bec an efficient and accurate discretization scheme the backwardforward euler sinepseudospectral method bfsp is proposed to discretize the normalized gradient flow extensive numerical results on ground states of spin1 bec with ferromagneticantiferromagnetic interaction and harmonicoptical lattice potential in onethree dimensions are reported to demonstrate the efficiency of our new numerical method | [['in', 'this', 'paper', 'we', 'propose', 'an', 'efficient', 'and', 'accurate', 'numerical', 'method', 'for', 'computing', 'the', 'ground', 'state', 'of', 'spin1', 'boseeinstein', 'condensates', 'bec', 'by', 'using', 'the', 'normalized', 'gradient', 'flow', 'or', 'imaginary', 'time', 'method', 'the', 'key', 'idea', 'is', 'to', 'find', 'a', 'third', 'projection', 'or', 'normalization', 'condition', 'based', 'on', 'the', 'relation', 'between', 'the', 'chemical', 'potentials', 'so', 'that', 'the', 'three', 'projection', 'parameters', 'used', 'in', 'the', 'projection', 'step', 'of', 'the', 'normalized', 'gradient', 'flow', 'are', 'uniquely', 'determined', 'by', 'this', 'condition', 'as', 'well', 'as', 'the', 'other', 'two', 'physical', 'conditions', 'given', 'by', 'the', 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711.0569 | Thermodynamic Properties of XXZ model in a Transverse Field | We have numerically studied the thermodynamic properties of the spin 1/2 XXZ
chain in the presence of a transverse (non commuting) magnetic field. The
thermal, field dependence of specific heat and correlation functions for chains
up to 20 sites have been calculated. The area where the specific heat decays
exponentially is considered as a measure of the energy gap. We have also
obtained the exchange interaction between chains in a bulk material using the
random phase approximation and derived the phase diagram of the three
dimensional material with this approximation. The behavior of the structure
factor at different momenta verifies the antiferromagnetic long range order in
y-direction for the three dimensional case. Moreover, we have concluded that
the Low Temperature Lanczos results [M. Aichhorn et al., Phys. Rev. B 67,
161103(R) (2003)] are more accurate for low temperatures and closer to the full
diagonalization ones than the results of Finite Temperature Lanczos Method [J.
Jaklic and P. Prelovsek, Phys. Rev. B 49, 5065 (1994)].
| cond-mat.str-el cond-mat.stat-mech | we have numerically studied the thermodynamic properties of the spin 12 xxz chain in the presence of a transverse non commuting magnetic field the thermal field dependence of specific heat and correlation functions for chains up to 20 sites have been calculated the area where the specific heat decays exponentially is considered as a measure of the energy gap we have also obtained the exchange interaction between chains in a bulk material using the random phase approximation and derived the phase diagram of the three dimensional material with this approximation the behavior of the structure factor at different momenta verifies the antiferromagnetic long range order in ydirection for the three dimensional case moreover we have concluded that the low temperature lanczos results m aichhorn et al phys rev b 67 161103r 2003 are more accurate for low temperatures and closer to the full diagonalization ones than the results of finite temperature lanczos method j jaklic and p prelovsek phys rev b 49 5065 1994 | [['we', 'have', 'numerically', 'studied', 'the', 'thermodynamic', 'properties', 'of', 'the', 'spin', '12', 'xxz', 'chain', 'in', 'the', 'presence', 'of', 'a', 'transverse', 'non', 'commuting', 'magnetic', 'field', 'the', 'thermal', 'field', 'dependence', 'of', 'specific', 'heat', 'and', 'correlation', 'functions', 'for', 'chains', 'up', 'to', '20', 'sites', 'have', 'been', 'calculated', 'the', 'area', 'where', 'the', 'specific', 'heat', 'decays', 'exponentially', 'is', 'considered', 'as', 'a', 'measure', 'of', 'the', 'energy', 'gap', 'we', 'have', 'also', 'obtained', 'the', 'exchange', 'interaction', 'between', 'chains', 'in', 'a', 'bulk', 'material', 'using', 'the', 'random', 'phase', 'approximation', 'and', 'derived', 'the', 'phase', 'diagram', 'of', 'the', 'three', 'dimensional', 'material', 'with', 'this', 'approximation', 'the', 'behavior', 'of', 'the', 'structure', 'factor', 'at', 'different', 'momenta', 'verifies', 'the', 'antiferromagnetic', 'long', 'range', 'order', 'in', 'ydirection', 'for', 'the', 'three', 'dimensional', 'case', 'moreover', 'we', 'have', 'concluded', 'that', 'the', 'low', 'temperature', 'lanczos', 'results', 'm', 'aichhorn', 'et', 'al', 'phys', 'rev', 'b', '67', '161103r', '2003', 'are', 'more', 'accurate', 'for', 'low', 'temperatures', 'and', 'closer', 'to', 'the', 'full', 'diagonalization', 'ones', 'than', 'the', 'results', 'of', 'finite', 'temperature', 'lanczos', 'method', 'j', 'jaklic', 'and', 'p', 'prelovsek', 'phys', 'rev', 'b', '49', '5065', '1994']] | [-0.13538358938917866, 0.16605928187296143, -0.018908048540307497, -0.004416373529419396, -0.014349197569702352, -0.10744380775653983, 0.06946498483364465, 0.3731636206347565, -0.1981018138181719, -0.3164949032206158, 0.04066982426064563, -0.31073708722934773, -0.06665498213350819, 0.17839371109734178, 0.058531980886361246, 0.02652481690581356, -0.0019321133677633652, 0.012976003065632992, -0.12722485732165692, -0.24875053203294506, 0.2344503409362265, 0.07123097707264368, 0.27976195438080237, 0.06812734431616083, 0.04687115895237936, 0.024744190803514966, 0.03193431420783911, 0.039547994790702874, -0.19083793853216707, 0.014177934446582507, 0.20174789568590093, -0.03125100058318341, 0.2150676776597172, -0.37428312380769235, -0.21171917696917278, 0.07895448806215517, 0.10166025432173788, 0.1158474457091565, -0.010368471758845782, -0.2693440286393468, 0.058090928195750124, -0.20981180567514174, -0.13302646724251244, -0.11518489177228872, 0.08266327919305436, 0.011877737622650236, -0.26937037476328324, 0.15567405970954418, 0.055694239801200834, 0.08650609555723643, -0.05138506554500981, -0.16578406356390774, -0.04247079156512707, 0.07511420008547096, 0.02803895878316314, 0.0673683962845446, 0.09804325553976138, -0.05520158654098003, -0.07748747854645405, 0.3149574991859357, -0.06800341565620735, -0.1474891902223773, 0.22211824480577239, -0.18068446927727055, -0.11315818480939044, 0.1517930431725307, 0.11972715089282726, 0.13223711042288946, -0.1685901928048795, 0.13310042956029788, -0.030630907578891295, 0.12385418075454994, 0.07058875577709411, 0.02293080772903765, 0.1616486825442277, 0.11686266308812343, -0.014998906832882521, 0.14755205776663902, -0.12341760826132243, -0.12072022432665289, -0.24466466527108266, -0.16561009891406034, -0.21791740826198033, 0.06156851529571812, -0.08484928533456561, -0.1430517465262298, 0.3899080651401548, 0.1356689419701567, 0.21245165549866532, 0.008163940711004763, 0.20968123037159814, 0.12882402822482314, 0.024966465354093022, 0.14678075075762706, 0.2527289778422217, 0.21117141105737885, 0.1376197270106131, -0.2536202358669075, -0.012222675226270135, 0.06219540378772972] |
711.057 | On the Lagrangian Structure of the Discrete Isospectral and
Isomonodromic Transformations | We establish the Lagrangian nature of the discrete isospectral and
isomonodromic dynamical systems corresponding to the re-factorization
transformations of the rational matrix functions on the Riemann sphere.
Specifically, in the isospectral case we generalize the Moser-Veselov approach
to integrability of discrete systems via the re-factorization of matrix
polynomials to a more general class of matrix rational functions that have a
simple divisor and, in the quadratic case, explicitly write the Lagrangian
function for such systems. Next we show that if we let certain parameters in
this Lagrangian to be time-dependent, the resulting Euler-Lagrange equations
describe the isomonodromic transformations of systems of linear difference
equations. It is known that in some special cases such equations reduce to the
difference Painlev\'e equation. As an example, we show how to obtain the
difference Painlev\`e V equation in this way, and hence we establish that this
equation can be written in the Lagrangian form.
| math-ph math.MP nlin.SI | we establish the lagrangian nature of the discrete isospectral and isomonodromic dynamical systems corresponding to the refactorization transformations of the rational matrix functions on the riemann sphere specifically in the isospectral case we generalize the moserveselov approach to integrability of discrete systems via the refactorization of matrix polynomials to a more general class of matrix rational functions that have a simple divisor and in the quadratic case explicitly write the lagrangian function for such systems next we show that if we let certain parameters in this lagrangian to be timedependent the resulting eulerlagrange equations describe the isomonodromic transformations of systems of linear difference equations it is known that in some special cases such equations reduce to the difference painleve equation as an example we show how to obtain the difference painleve v equation in this way and hence we establish that this equation can be written in the lagrangian form | [['we', 'establish', 'the', 'lagrangian', 'nature', 'of', 'the', 'discrete', 'isospectral', 'and', 'isomonodromic', 'dynamical', 'systems', 'corresponding', 'to', 'the', 'refactorization', 'transformations', 'of', 'the', 'rational', 'matrix', 'functions', 'on', 'the', 'riemann', 'sphere', 'specifically', 'in', 'the', 'isospectral', 'case', 'we', 'generalize', 'the', 'moserveselov', 'approach', 'to', 'integrability', 'of', 'discrete', 'systems', 'via', 'the', 'refactorization', 'of', 'matrix', 'polynomials', 'to', 'a', 'more', 'general', 'class', 'of', 'matrix', 'rational', 'functions', 'that', 'have', 'a', 'simple', 'divisor', 'and', 'in', 'the', 'quadratic', 'case', 'explicitly', 'write', 'the', 'lagrangian', 'function', 'for', 'such', 'systems', 'next', 'we', 'show', 'that', 'if', 'we', 'let', 'certain', 'parameters', 'in', 'this', 'lagrangian', 'to', 'be', 'timedependent', 'the', 'resulting', 'eulerlagrange', 'equations', 'describe', 'the', 'isomonodromic', 'transformations', 'of', 'systems', 'of', 'linear', 'difference', 'equations', 'it', 'is', 'known', 'that', 'in', 'some', 'special', 'cases', 'such', 'equations', 'reduce', 'to', 'the', 'difference', 'painleve', 'equation', 'as', 'an', 'example', 'we', 'show', 'how', 'to', 'obtain', 'the', 'difference', 'painleve', 'v', 'equation', 'in', 'this', 'way', 'and', 'hence', 'we', 'establish', 'that', 'this', 'equation', 'can', 'be', 'written', 'in', 'the', 'lagrangian', 'form']] | [-0.14391684191123327, 0.04128786989641235, -0.0947381581504823, 0.09208534007123202, -0.10163398801767887, -0.12540410838836816, -0.022385275641443745, 0.2924360200823691, -0.3451917759555348, -0.23085216652826976, 0.08076432864837998, -0.264402553415701, -0.2451298060708198, 0.16827695022943437, -0.06749910037517673, 0.06793881032690906, 0.04194761274051196, 0.03710344161263248, -0.1775702742934727, -0.2660678243264556, 0.3712749660590151, -0.06842519744805642, 0.17494640233395184, 0.037946494224312524, 0.14086397861336802, 0.0050413806230492336, 0.03195784433476077, -0.031030152807858067, -0.12489339603121305, 0.0742321428663141, 0.29660110917542404, 0.10028407699897285, 0.1986644216156846, -0.42271179843368945, -0.16986731110428205, 0.17102883899531282, 0.1417808508252, 0.09396365191162433, -0.0005248875835568226, -0.2573446533330185, 0.06840182064904288, -0.15482287267035486, -0.2181107282088507, -0.11762363520675907, 0.041022591730392216, 0.07324809166775656, -0.24985415040321599, 0.0562828056101731, 0.062297625084924854, 0.02400367038680753, -0.057843138023917155, -0.07257648541095148, -0.025837433893208535, 0.05602857264558841, 0.03452821035522517, 0.009372338924506967, 0.047685655849617, -0.09534412987792752, -0.050466625902398594, 0.42166259698569775, -0.08536040087483648, -0.3439532096603973, 0.1217967144419883, -0.11981828330122185, -0.17017512758349962, 0.07310451288635673, 0.1936681208344514, 0.15671897667378887, -0.1585589541222325, 0.13768156164602358, -0.08049650540287863, 0.11922360344433644, 0.060404940788015324, -0.01308860090809668, 0.0951366682760355, 0.053311738159019975, 0.07052376850480026, 0.14081785092036547, 0.03170557519821013, -0.13255913869396552, -0.36470585093902264, -0.1940346619039274, -0.140878720863741, 0.09728272408856417, -0.10444413609898434, -0.17267232415760123, 0.4005483041920593, 0.13263949939524816, 0.16161163273148688, 0.10173644353291833, 0.20356874454816515, 0.2299253984265367, 0.0540825477848142, 0.04123765563642318, 0.1956282210883594, 0.17979532788545144, 0.058280163910239935, -0.23243392017301198, -0.03532659692764782, 0.18657561802874076] |
711.0571 | Projected p-wave superconducting wave-functions for topological orders | In this paper we develop a sysmatical theory for topological orders by the
projected p-wave superconducting (SC) wave-functions and unify the different
topological orders for spin models into the fermionic picture. We found that
the energy for the fermions at k=(0,0), (0, pi), (pi, 0), (pi, pi) acts as a
topological invariable to characterize 16 universal classes of different
topological orders for the spin models with translation invariance. Based on
the projected p-wave SC wave-functions the topological properties for the known
topological orders in the exact solved spin models are obtained. Finally new
types of topological orders are predicted.
| cond-mat.str-el | in this paper we develop a sysmatical theory for topological orders by the projected pwave superconducting sc wavefunctions and unify the different topological orders for spin models into the fermionic picture we found that the energy for the fermions at k00 0 pi pi 0 pi pi acts as a topological invariable to characterize 16 universal classes of different topological orders for the spin models with translation invariance based on the projected pwave sc wavefunctions the topological properties for the known topological orders in the exact solved spin models are obtained finally new types of topological orders are predicted | [['in', 'this', 'paper', 'we', 'develop', 'a', 'sysmatical', 'theory', 'for', 'topological', 'orders', 'by', 'the', 'projected', 'pwave', 'superconducting', 'sc', 'wavefunctions', 'and', 'unify', 'the', 'different', 'topological', 'orders', 'for', 'spin', 'models', 'into', 'the', 'fermionic', 'picture', 'we', 'found', 'that', 'the', 'energy', 'for', 'the', 'fermions', 'at', 'k00', '0', 'pi', 'pi', '0', 'pi', 'pi', 'acts', 'as', 'a', 'topological', 'invariable', 'to', 'characterize', '16', 'universal', 'classes', 'of', 'different', 'topological', 'orders', 'for', 'the', 'spin', 'models', 'with', 'translation', 'invariance', 'based', 'on', 'the', 'projected', 'pwave', 'sc', 'wavefunctions', 'the', 'topological', 'properties', 'for', 'the', 'known', 'topological', 'orders', 'in', 'the', 'exact', 'solved', 'spin', 'models', 'are', 'obtained', 'finally', 'new', 'types', 'of', 'topological', 'orders', 'are', 'predicted']] | [-0.18207663871176846, 0.25322103361618153, -0.053222841839781224, 0.10199997413841703, -0.014145118992167468, -0.14257639696897598, 0.04782817391108493, 0.31284690277688965, -0.2664437411847163, -0.2572819606724138, -0.017940712847974986, -0.2948488823081158, -0.11013401654662983, 0.17214375517654176, 0.07205452732694316, 0.07229673006210705, -0.07491899447097462, 0.021309318933255817, -0.22306439119666738, -0.23877332262618808, 0.3373044496259595, -0.10821883639852915, 0.29526421171137873, 0.035949762381983885, 0.020757713174561456, -0.01445656023415908, 0.048862783979548484, 0.00927828033739815, -0.2071648887671175, 0.0932194921758254, 0.2630623143254432, -0.028721916845676546, 0.0984612359494275, -0.4129069645946123, -0.20402147791025285, 0.04350173190278856, 0.13628977739575263, 0.12417662297660599, 0.01716805321083651, -0.3628410323599011, 0.1498658981302525, -0.19618865431343413, -0.13591012460825852, -0.134328538238318, 0.034557535545900464, -0.062030798204395235, -0.19713843467987466, 0.04273707843005505, 0.07579780203689422, 0.0626022115786921, -0.05529857786759563, -0.16506246889570766, -0.05123800459812034, 0.07044390528652893, 0.027834027321362982, 0.05293345247034212, 0.041974466531632504, -0.13211399260243134, -0.2119034650279399, 0.37598031879953886, -0.04193323408075304, -0.17731261052362315, 0.19551350630354136, -0.08422591717562125, -0.1228560471089975, 0.11208056300232301, 0.1046945029864924, 0.10053466690932306, -0.07319117060919501, 0.11308391137483377, -0.02365487141116541, 0.15296882746399057, 0.03177989503292709, 0.11128631006565173, 0.2474121650139212, 0.12965030465702698, 0.07749686930898805, 0.14236411091168316, -0.083871718660016, -0.08322064975295596, -0.295566833996195, -0.16918039180656744, -0.1721367858806435, 0.06354017767874638, -0.05673732044996708, -0.13196586872622065, 0.4780882960850639, 0.12530957982514282, 0.19197431116421915, 0.03264750650494683, 0.2538585412572613, 0.15333767601987347, 0.06499595161318322, 0.06211906275236789, 0.17821265557039606, 0.1467348958047259, 0.027867969548405737, -0.2450756074525701, -0.007855945523372111, 0.11524681400564708] |
711.0572 | Confirmation of Matheron's conjecture on the covariogram of a planar
convex body | The covariogram g_K of a convex body K in E^d is the function which
associates to each x in E^d the volume of the intersection of K with K+x. In
1986 G. Matheron conjectured that for d=2 the covariogram g_K determines K
within the class of all planar convex bodies, up to translations and
reflections in a point. This problem is equivalent to some problems in
stochastic geometry and probability as well as to a particular case of the
phase retrieval problem in Fourier analysis. It is also relevant for the
inverse problem of determining the atomic structure of a quasicrystal from its
X-ray diffraction image. In this paper we confirm Matheron's conjecture
completely.
| math.MG math.CA math.PR | the covariogram g_k of a convex body k in ed is the function which associates to each x in ed the volume of the intersection of k with kx in 1986 g matheron conjectured that for d2 the covariogram g_k determines k within the class of all planar convex bodies up to translations and reflections in a point this problem is equivalent to some problems in stochastic geometry and probability as well as to a particular case of the phase retrieval problem in fourier analysis it is also relevant for the inverse problem of determining the atomic structure of a quasicrystal from its xray diffraction image in this paper we confirm matherons conjecture completely | [['the', 'covariogram', 'g_k', 'of', 'a', 'convex', 'body', 'k', 'in', 'ed', 'is', 'the', 'function', 'which', 'associates', 'to', 'each', 'x', 'in', 'ed', 'the', 'volume', 'of', 'the', 'intersection', 'of', 'k', 'with', 'kx', 'in', '1986', 'g', 'matheron', 'conjectured', 'that', 'for', 'd2', 'the', 'covariogram', 'g_k', 'determines', 'k', 'within', 'the', 'class', 'of', 'all', 'planar', 'convex', 'bodies', 'up', 'to', 'translations', 'and', 'reflections', 'in', 'a', 'point', 'this', 'problem', 'is', 'equivalent', 'to', 'some', 'problems', 'in', 'stochastic', 'geometry', 'and', 'probability', 'as', 'well', 'as', 'to', 'a', 'particular', 'case', 'of', 'the', 'phase', 'retrieval', 'problem', 'in', 'fourier', 'analysis', 'it', 'is', 'also', 'relevant', 'for', 'the', 'inverse', 'problem', 'of', 'determining', 'the', 'atomic', 'structure', 'of', 'a', 'quasicrystal', 'from', 'its', 'xray', 'diffraction', 'image', 'in', 'this', 'paper', 'we', 'confirm', 'matherons', 'conjecture', 'completely']] | [-0.1164340151212456, 0.06462688006362632, -0.07261729166075065, 0.018386361279051033, -0.048754671989866584, -0.07334262934480712, 0.0610089495036702, 0.3544738126199758, -0.34061068544785184, -0.2438880819459691, 0.10838064248163025, -0.30324680308950247, -0.16530986643281945, 0.16832850831805876, -0.09648722056667075, 0.07954439463598344, -0.004116519157992515, 0.09879255755150919, -0.08223810370219055, -0.2581747300706379, 0.3130118237122109, -0.02801358559283248, 0.1963015194724951, 0.07448888944641671, 0.093839999126973, 0.04324208487952618, 0.02748456290972076, 0.048244754064893515, -0.13535796776200745, 0.11081285086121377, 0.32248617937633145, 0.13918610029902898, 0.22659306961577386, -0.33995629052974674, -0.18259504150901512, 0.128818101756144, 0.10473035607796383, 0.030554292224176032, -0.005621790983959248, -0.22926667920648724, 0.10613952601622594, -0.07463252806643907, -0.12209066755971626, 0.0007010289108413353, 0.092298215827006, -0.02045636950877675, -0.26979199775929663, 0.04438157390834756, 0.11170656164687355, 0.06727301572008353, -0.08367035699407815, -0.10684093498020318, 0.018926654507308023, 0.09062862970147348, 0.028723373704818648, 0.09935417773994502, 0.05656101814422168, -0.11220337923926611, -0.10295803017358769, 0.42900790008634593, -0.02716723695528089, -0.17440525254463418, 0.13265329865706071, -0.19185449349644937, -0.14759862197873494, 0.16119466754383194, 0.14203502942415835, 0.18714908096457325, -0.11693126428106457, 0.18787731976848782, -0.1340547458660838, 0.13113917593498053, 0.12270630421647966, -0.024777321073455375, 0.1446263583033885, 0.12078166619992994, 0.10860423167571098, 0.1937243377155698, -0.04933393535024503, -0.027457660403135315, -0.29888879086234066, -0.17226508374146202, -0.21069822668837251, 0.06691316633358631, -0.08002416342226257, -0.18131345507253285, 0.3441259832848517, 0.08794838286887266, 0.19055687359191084, 0.03317412532347238, 0.23631089275474088, 0.08404337897643513, 0.01078021265729739, 0.07214077208354547, 0.15261690636913972, 0.17161650544138657, 0.03848883806597115, -0.21947510888505922, 0.025927181563977348, 0.12571187507720633] |
711.0573 | Dimer coverings on the Sierpinski gasket with possible vacancies on the
outmost vertices | We present the number of dimers $N_d(n)$ on the Sierpinski gasket $SG_d(n)$
at stage $n$ with dimension $d$ equal to two, three, four or five, where one of
the outmost vertices is not covered when the number of vertices $v(n)$ is an
odd number. The entropy of absorption of diatomic molecules per site, defined
as $S_{SG_d}=\lim_{n \to \infty} \ln N_d(n)/v(n)$, is calculated to be
$\ln(2)/3$ exactly for $SG_2(n)$. The numbers of dimers on the generalized
Sierpinski gasket $SG_{d,b}(n)$ with $d=2$ and $b=3,4,5$ are also obtained
exactly. Their entropies are equal to $\ln(6)/7$, $\ln(28)/12$, $\ln(200)/18$,
respectively. The upper and lower bounds for the entropy are derived in terms
of the results at a certain stage for $SG_d(n)$ with $d=3,4,5$. As the
difference between these bounds converges quickly to zero as the calculated
stage increases, the numerical value of $S_{SG_d}$ with $d=3,4,5$ can be
evaluated with more than a hundred significant figures accurate.
| cond-mat.stat-mech | we present the number of dimers n_dn on the sierpinski gasket sg_dn at stage n with dimension d equal to two three four or five where one of the outmost vertices is not covered when the number of vertices vn is an odd number the entropy of absorption of diatomic molecules per site defined as s_sg_dlim_n to infty ln n_dnvn is calculated to be ln23 exactly for sg_2n the numbers of dimers on the generalized sierpinski gasket sg_dbn with d2 and b345 are also obtained exactly their entropies are equal to ln67 ln2812 ln20018 respectively the upper and lower bounds for the entropy are derived in terms of the results at a certain stage for sg_dn with d345 as the difference between these bounds converges quickly to zero as the calculated stage increases the numerical value of s_sg_d with d345 can be evaluated with more than a hundred significant figures accurate | [['we', 'present', 'the', 'number', 'of', 'dimers', 'n_dn', 'on', 'the', 'sierpinski', 'gasket', 'sg_dn', 'at', 'stage', 'n', 'with', 'dimension', 'd', 'equal', 'to', 'two', 'three', 'four', 'or', 'five', 'where', 'one', 'of', 'the', 'outmost', 'vertices', 'is', 'not', 'covered', 'when', 'the', 'number', 'of', 'vertices', 'vn', 'is', 'an', 'odd', 'number', 'the', 'entropy', 'of', 'absorption', 'of', 'diatomic', 'molecules', 'per', 'site', 'defined', 'as', 's_sg_dlim_n', 'to', 'infty', 'ln', 'n_dnvn', 'is', 'calculated', 'to', 'be', 'ln23', 'exactly', 'for', 'sg_2n', 'the', 'numbers', 'of', 'dimers', 'on', 'the', 'generalized', 'sierpinski', 'gasket', 'sg_dbn', 'with', 'd2', 'and', 'b345', 'are', 'also', 'obtained', 'exactly', 'their', 'entropies', 'are', 'equal', 'to', 'ln67', 'ln2812', 'ln20018', 'respectively', 'the', 'upper', 'and', 'lower', 'bounds', 'for', 'the', 'entropy', 'are', 'derived', 'in', 'terms', 'of', 'the', 'results', 'at', 'a', 'certain', 'stage', 'for', 'sg_dn', 'with', 'd345', 'as', 'the', 'difference', 'between', 'these', 'bounds', 'converges', 'quickly', 'to', 'zero', 'as', 'the', 'calculated', 'stage', 'increases', 'the', 'numerical', 'value', 'of', 's_sg_d', 'with', 'd345', 'can', 'be', 'evaluated', 'with', 'more', 'than', 'a', 'hundred', 'significant', 'figures', 'accurate']] | [-0.09833842492414678, 0.16869675580187987, -0.001591528471929173, 0.028908414153567125, 0.01649434145222953, -0.17570449958773368, 0.019006127529572828, 0.32881207598360085, -0.20082780681814708, -0.31763566766885365, 0.09382738501200096, -0.3826384626342155, -0.0593889558469837, 0.19192038768248515, 0.013764707001705541, 0.0204521650316339, 0.010418519688974934, 0.13144104843232648, -0.05127692897638953, -0.3108595655372379, 0.27182936236420846, 0.016287612225133793, 0.20646943495417316, 0.08196790980386502, 0.05427896410411765, -0.05987459987547275, 0.043794770586363815, 0.030772108333647675, -0.16564599594352306, 0.11568876888259505, 0.20877866689710223, 0.07537488317189751, 0.22348922660825313, -0.3999689671059027, -0.13271340600492315, 0.1397386303845238, 0.15772797655089632, 0.06411308564034336, 0.04746169498442517, -0.21055537867458893, 0.11146436785909196, -0.11821227136451143, -0.1485081966074699, -0.020354072252909344, 0.06124478191176944, 0.03859223017521889, -0.264553137959133, 0.06902328082372712, 0.039501142694700696, 0.05197484334018445, -0.02979511915910857, -0.21930659195434646, -0.08873440241044823, 0.11681722162034633, 0.011877764586081847, 0.016905001381161154, 0.08258597253068806, -0.08139572646270724, -0.10955120160422743, 0.37528615778127145, -0.08271405902612337, -0.22220600478711094, 0.15434063264459424, -0.17399473895701903, -0.11868837001631928, 0.14881864203972386, 0.11750196217037473, 0.1401231581946267, -0.080547328119134, 0.030430632784586163, -0.041692398135147406, 0.13874863137091437, 0.1320371505645837, 0.03636631645189585, 0.1309913846512213, 0.12177276469813329, 0.07454245346631352, 0.1984864986495029, -0.07058813171593327, -0.10239855557389504, -0.3035131147038852, -0.144401453533569, -0.24110232937605458, 0.039369170532618805, -0.15188743565409074, -0.15403440011316805, 0.3346721221765516, 0.07563619972091062, 0.23400786538865972, 0.09488185857759511, 0.24226144034867936, 0.13524643729807453, 0.0531918810835729, 0.09294966983498265, 0.1916165977240877, 0.10271179027432668, 0.014183048406163402, -0.17711835623725403, 0.03169980278595331, 0.13554787100127613] |
711.0574 | Singular Curves in the Joint Space and Cusp Points of 3-RPR parallel
manipulators | This paper investigates the singular curves in the joint space of a family of
planar parallel manipulators. It focuses on special points, referred to as cusp
points, which may appear on these curves. Cusp points play an important role in
the kinematic behavior of parallel manipulators since they make possible a
nonsingular change of assembly mode. The purpose of this study is twofold.
First, it exposes a method to compute joint space singular curves of 3-RPR
planar parallel manipulators. Second, it presents an algorithm for detecting
and computing all cusp points in the joint space of these same manipulators.
| cs.RO | this paper investigates the singular curves in the joint space of a family of planar parallel manipulators it focuses on special points referred to as cusp points which may appear on these curves cusp points play an important role in the kinematic behavior of parallel manipulators since they make possible a nonsingular change of assembly mode the purpose of this study is twofold first it exposes a method to compute joint space singular curves of 3rpr planar parallel manipulators second it presents an algorithm for detecting and computing all cusp points in the joint space of these same manipulators | [['this', 'paper', 'investigates', 'the', 'singular', 'curves', 'in', 'the', 'joint', 'space', 'of', 'a', 'family', 'of', 'planar', 'parallel', 'manipulators', 'it', 'focuses', 'on', 'special', 'points', 'referred', 'to', 'as', 'cusp', 'points', 'which', 'may', 'appear', 'on', 'these', 'curves', 'cusp', 'points', 'play', 'an', 'important', 'role', 'in', 'the', 'kinematic', 'behavior', 'of', 'parallel', 'manipulators', 'since', 'they', 'make', 'possible', 'a', 'nonsingular', 'change', 'of', 'assembly', 'mode', 'the', 'purpose', 'of', 'this', 'study', 'is', 'twofold', 'first', 'it', 'exposes', 'a', 'method', 'to', 'compute', 'joint', 'space', 'singular', 'curves', 'of', '3rpr', 'planar', 'parallel', 'manipulators', 'second', 'it', 'presents', 'an', 'algorithm', 'for', 'detecting', 'and', 'computing', 'all', 'cusp', 'points', 'in', 'the', 'joint', 'space', 'of', 'these', 'same', 'manipulators']] | [-0.24492111085264973, 0.020296242382351518, -0.11061201634054835, 0.019075306672179562, -0.13254014067257744, -0.12280878069989308, 0.010336195223381498, 0.3417141485601814, -0.2514704239902773, -0.2692024464521444, 0.06139649503107061, -0.2250534027480906, -0.23464293345206916, 0.20381191449540884, -0.10463382214345414, 0.07816944169256874, 0.04907038107965932, 0.025760814255912496, -0.060281395264830666, -0.26675939069816257, 0.37989427171873325, 0.002425940255775596, 0.2808098874496992, -0.03697929065909726, 0.12093977112736967, 0.08281679629733918, -0.04248496981318852, -0.027166992749000494, -0.12976672185227425, 0.12842252005757104, 0.2893969133176436, 0.07981550448922196, 0.22063744401164126, -0.3934179485559162, -0.12049382231715652, 0.17359592519568826, 0.1787370921987476, 0.06203675892255786, 0.024873320349595614, -0.19634566987591862, 0.07644831056640757, -0.0828231564967545, -0.1868807099044624, -0.07652389872913258, 0.007341839123818308, -0.02106745028691931, -0.1894861681368014, -0.012691994023631619, 0.09982545296849701, 0.10298671422883718, -0.03879276611324814, -0.10624165208351732, 0.023104795678095383, 0.1354603914666281, 0.04557022599813839, 0.01978384323813247, 0.08092955456143527, -0.11787516784129871, -0.1167824814716975, 0.4084548820157046, 0.0370706757436497, -0.20259055918237814, 0.15462417826714991, -0.12673387517258902, -0.19074916214484608, 0.13043357479277848, 0.25096580664617846, 0.17161782692666305, -0.12334182866816079, 0.09670107454623594, -0.036767179908400234, 0.06785229816938741, 0.09719564926556566, -0.06199098808333428, 0.23721412811052017, 0.1207943855963572, 0.13504229782318528, 0.15149173301273036, -0.08954728870285732, -0.10776207485116285, -0.3228098897244593, -0.2357846560718661, -0.15463715483348656, -0.020040826664736607, -0.08373144639387252, -0.2537920228064512, 0.3949992403228099, 0.0805020851926523, 0.2608635394100213, 0.009292239540802183, 0.2899705360859934, 0.06264469800681591, 0.045294663548996354, 0.11372915740980945, 0.23281583062025032, 0.059566960848792636, 0.08229876033999402, -0.18467441212292995, 0.04836733197979159, 0.0609743398369638] |
711.0575 | Intervalley splittings of Si quantum wells | Multi-valley effective mass theory for silicon quantum well structure is
studied taking into account the external fields and the quantum interfaces. It
is found that the phenomenological delta function potential, employed to
explain the valley splitting caused by the quantum well interface in the
previous work [Ref. 10], can be derived self-consistently from the multi-valley
effective mass theory. Finite element method is used to solve the multi-valley
effective equations. Theoretical predictions are in a reasonably good agreement
with the recent experimental observation of valley splitting in a
SiO_{2}/Si/SiO_{2} quantum well, which prove the validity of our approach.
| quant-ph | multivalley effective mass theory for silicon quantum well structure is studied taking into account the external fields and the quantum interfaces it is found that the phenomenological delta function potential employed to explain the valley splitting caused by the quantum well interface in the previous work ref 10 can be derived selfconsistently from the multivalley effective mass theory finite element method is used to solve the multivalley effective equations theoretical predictions are in a reasonably good agreement with the recent experimental observation of valley splitting in a sio_2sisio_2 quantum well which prove the validity of our approach | [['multivalley', 'effective', 'mass', 'theory', 'for', 'silicon', 'quantum', 'well', 'structure', 'is', 'studied', 'taking', 'into', 'account', 'the', 'external', 'fields', 'and', 'the', 'quantum', 'interfaces', 'it', 'is', 'found', 'that', 'the', 'phenomenological', 'delta', 'function', 'potential', 'employed', 'to', 'explain', 'the', 'valley', 'splitting', 'caused', 'by', 'the', 'quantum', 'well', 'interface', 'in', 'the', 'previous', 'work', 'ref', '10', 'can', 'be', 'derived', 'selfconsistently', 'from', 'the', 'multivalley', 'effective', 'mass', 'theory', 'finite', 'element', 'method', 'is', 'used', 'to', 'solve', 'the', 'multivalley', 'effective', 'equations', 'theoretical', 'predictions', 'are', 'in', 'a', 'reasonably', 'good', 'agreement', 'with', 'the', 'recent', 'experimental', 'observation', 'of', 'valley', 'splitting', 'in', 'a', 'sio_2sisio_2', 'quantum', 'well', 'which', 'prove', 'the', 'validity', 'of', 'our', 'approach']] | [-0.0859535614787698, 0.1361955375953888, -0.09303372962798069, 0.12166083614162441, -0.03633104293597474, -0.14457873428667276, 0.024029793254157994, 0.3447318874047293, -0.24717520075986008, -0.3607874147322339, 0.006256928164172375, -0.24578449281398207, -0.1517146840390827, 0.193584248025824, 0.007798394586037223, 0.08196017865945275, 0.03025692090401814, -0.03455561133402322, -0.04324308135013174, -0.20283206142873192, 0.2668731347742626, 0.04012422040977981, 0.29752280175550067, 0.13372184321148475, 0.07327011872742635, 0.011289853379518414, 0.010339981335467504, 0.061337058898061514, -0.12567133931141447, 0.09784544337890111, 0.2768204902531579, -0.03012882398009727, 0.1984225595879252, -0.434426061285194, -0.2639188934651126, -0.016323830107770238, 0.12788841871952172, 0.19381813502089548, -0.1002357858257407, -0.2854261495231185, 0.08984289263995986, -0.20475645219751945, -0.16847716301466184, -0.0678142279793974, -0.02498962015185195, -0.038314537373177394, -0.2507661414838367, 0.07908874125647951, 0.007032483413543862, 0.01716386081534438, -0.0791378792685767, -0.14918295019015204, -0.02299813289331117, 0.10691187881457154, 0.015065286812993387, 0.06827756691200193, 0.12332095919070223, -0.08937108341585069, -0.10265051333408337, 0.3984436599518328, -0.07645992597584457, -0.1828193449182436, 0.1547023696160371, -0.13028504484100267, -0.0678125385796496, 0.07468159601558, 0.1015081057169785, 0.11983237676516485, -0.154740184711045, 0.1590827810426466, -0.004034412271721521, 0.14007462460722309, -0.020652181662929554, 0.03797154690187199, 0.2189773900900036, 0.15483150947450972, -0.006427041448963185, 0.06070407971249855, -0.04228170060378034, -0.1711558430591443, -0.2957898172705124, -0.13839200241212288, -0.20550489234544025, 0.07344631618858936, -0.06809175097426608, -0.1177842358641404, 0.4077741109698157, 0.15515634215262253, 0.19759388072028136, -0.008678845904796617, 0.304161680440302, 0.1935596607666715, 0.09821466075482022, 0.021538297718507238, 0.30040375981479883, 0.21179818178158408, 0.07283682706959856, -0.28250747517692315, 0.031363042480127966, 0.04435669313534163] |
711.0576 | Canonical formulation of the embedded theory of gravity equivalent to
Einstein's General Relativity | We study the approach in which independent variables describing gravity are
functions of the space-time embedding into a flat space of higher dimension. We
formulate a canonical formalism for such a theory in a form, which requires
imposing additional constraints, which are a part of Einstein's equations. As a
result, we obtain a theory with an eight-parameter gauge symmetry. This theory
becomes equivalent to Einstein's general relativity either after partial gauge
fixing or after rewriting the metric in the form that is invariant under the
additional gauge transformations. We write the action for such a theory.
| gr-qc hep-th | we study the approach in which independent variables describing gravity are functions of the spacetime embedding into a flat space of higher dimension we formulate a canonical formalism for such a theory in a form which requires imposing additional constraints which are a part of einsteins equations as a result we obtain a theory with an eightparameter gauge symmetry this theory becomes equivalent to einsteins general relativity either after partial gauge fixing or after rewriting the metric in the form that is invariant under the additional gauge transformations we write the action for such a theory | [['we', 'study', 'the', 'approach', 'in', 'which', 'independent', 'variables', 'describing', 'gravity', 'are', 'functions', 'of', 'the', 'spacetime', 'embedding', 'into', 'a', 'flat', 'space', 'of', 'higher', 'dimension', 'we', 'formulate', 'a', 'canonical', 'formalism', 'for', 'such', 'a', 'theory', 'in', 'a', 'form', 'which', 'requires', 'imposing', 'additional', 'constraints', 'which', 'are', 'a', 'part', 'of', 'einsteins', 'equations', 'as', 'a', 'result', 'we', 'obtain', 'a', 'theory', 'with', 'an', 'eightparameter', 'gauge', 'symmetry', 'this', 'theory', 'becomes', 'equivalent', 'to', 'einsteins', 'general', 'relativity', 'either', 'after', 'partial', 'gauge', 'fixing', 'or', 'after', 'rewriting', 'the', 'metric', 'in', 'the', 'form', 'that', 'is', 'invariant', 'under', 'the', 'additional', 'gauge', 'transformations', 'we', 'write', 'the', 'action', 'for', 'such', 'a', 'theory']] | [-0.15322023352685696, 0.1268351902097796, -0.13647632502640286, 0.08464867154543754, -0.11068649801018182, -0.13460431181980917, -0.0005059455919157093, 0.3035066314611565, -0.23220016113676442, -0.2753059929709707, 0.080576333359204, -0.2312066636804957, -0.18086409420599617, 0.10351197708708544, -0.05354258170700632, 0.011552076553925872, -0.0035471669058703506, 0.09110683454491664, -0.1562616252049338, -0.2405685810469246, 0.34984159071852144, -0.002438385626495195, 0.21816579420798612, -0.01579542316721927, 0.16834325385085927, 0.053205904415032514, -0.0227731096529169, 0.06703301299391266, -0.10225073596219166, 0.109420187373568, 0.1998072873490552, 0.13690650779418925, 0.24468072620220482, -0.4304769165464677, -0.2403525336412713, 0.054133671520200245, 0.06815882161996949, 0.18882930531132538, -0.01676220371640132, -0.29195224957463023, 0.06536327647078603, -0.16937326085947765, -0.15542559705863823, -0.09263647978271668, 0.0001520779769634828, -0.10357724303078915, -0.29840432666484656, 0.03996154798854453, 0.07588820827853245, 0.042086719497395585, -0.09359860193702237, -0.02230847407433127, -0.01066876862993619, 0.05584917233136366, 0.10819253883770823, 0.07197614648369684, 0.08596432273892181, -0.15549941391752023, -0.06760820763399049, 0.4427328142191982, -0.102376223464186, -0.3092392759475236, 0.12314577429894295, -0.08377017855915862, -0.20890997967217118, 0.06864585890919746, 0.1333174103104587, 0.16785655235677646, -0.1680705063821127, 0.18721629719948396, -0.06120100115852741, 0.13750218731972078, 0.09221280404987435, 0.05759521095812185, 0.21071073040851238, 0.08894745679087161, 0.07885378095670603, 0.12696769535250496, 0.056159407851131014, -0.11869439735407165, -0.4289094142538185, -0.19184561489453245, -0.07570834368137487, 0.14772925123300715, -0.11989206794927061, -0.19018790372259295, 0.35470445303750847, 0.09813887907269721, 0.15204703689960297, 0.07764556162752949, 0.2405703632393852, 0.17751300071904552, 0.08266930235549808, 0.04082067163350681, 0.20300709727841118, 0.15470465783194717, 0.0292121520008853, -0.15945151941074678, -0.06636603332056741, 0.15481661325126575] |
711.0577 | Biasing the center of charge in molecular dynamics simulations with
empirical valence bond models: free energetics of an excess proton in a water
droplet | Multistate empirical valence bond (EVB) models provide an accurate
description of the energetics of proton transfer and solvation in complex
molecular systems and can be efficiently used in molecular dynamics computer
simulations. Within such models, the location of the moving protonic charge can
be specified by the so called center of charge, defined as a weighted average
over the diabatic states of the EVB model. In this paper, we use first order
perturbation theory to calculate the molecular forces that arise if a bias
potential is applied to the center of charge. Such bias potentials are often
necessary when molecular dynamics simulations are used to determine free
energies related to proton transfer and not all relevant proton positions are
sampled with sufficient frequency during the available computing time. The
force expressions we derive are easy to evaluate and do not create any
significant computational cost compared with unbiased EVB-simulations. As an
illustration of the method, we study proton transfer in a small liquid water
droplet consisting of 128 water molecules plus an excess proton. Contrary to
predictions of continuum electrostatics but in agreement with previous computer
simulations of similar systems, we observe that the excess proton is
predominantly located at the surface of the droplet. Using the formalism
developed in this paper, we calculate the reversible work required to carry the
protonic charge from the droplet surface to its core finding a value of roughly
4 $k_{\rm B}T$.
| cond-mat.soft cond-mat.stat-mech | multistate empirical valence bond evb models provide an accurate description of the energetics of proton transfer and solvation in complex molecular systems and can be efficiently used in molecular dynamics computer simulations within such models the location of the moving protonic charge can be specified by the so called center of charge defined as a weighted average over the diabatic states of the evb model in this paper we use first order perturbation theory to calculate the molecular forces that arise if a bias potential is applied to the center of charge such bias potentials are often necessary when molecular dynamics simulations are used to determine free energies related to proton transfer and not all relevant proton positions are sampled with sufficient frequency during the available computing time the force expressions we derive are easy to evaluate and do not create any significant computational cost compared with unbiased evbsimulations as an illustration of the method we study proton transfer in a small liquid water droplet consisting of 128 water molecules plus an excess proton contrary to predictions of continuum electrostatics but in agreement with previous computer simulations of similar systems we observe that the excess proton is predominantly located at the surface of the droplet using the formalism developed in this paper we calculate the reversible work required to carry the protonic charge from the droplet surface to its core finding a value of roughly 4 k_rm bt | [['multistate', 'empirical', 'valence', 'bond', 'evb', 'models', 'provide', 'an', 'accurate', 'description', 'of', 'the', 'energetics', 'of', 'proton', 'transfer', 'and', 'solvation', 'in', 'complex', 'molecular', 'systems', 'and', 'can', 'be', 'efficiently', 'used', 'in', 'molecular', 'dynamics', 'computer', 'simulations', 'within', 'such', 'models', 'the', 'location', 'of', 'the', 'moving', 'protonic', 'charge', 'can', 'be', 'specified', 'by', 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711.0578 | How and when can one identify hadronic molecules in the baryon spectrum | A method to identify hadronic molecules in the particle spectrum is reviewed
and the conditions for its applicability discussed. Special emphasis is put on
the discussion of molecule candidates in the baryon spectrum.
| hep-ph | a method to identify hadronic molecules in the particle spectrum is reviewed and the conditions for its applicability discussed special emphasis is put on the discussion of molecule candidates in the baryon spectrum | [['a', 'method', 'to', 'identify', 'hadronic', 'molecules', 'in', 'the', 'particle', 'spectrum', 'is', 'reviewed', 'and', 'the', 'conditions', 'for', 'its', 'applicability', 'discussed', 'special', 'emphasis', 'is', 'put', 'on', 'the', 'discussion', 'of', 'molecule', 'candidates', 'in', 'the', 'baryon', 'spectrum']] | [-0.1002099018431071, 0.08711144901021864, -0.05800220167095011, 0.11938908575526015, -0.06974646730602464, -0.1431028012920058, 0.06366001566251119, 0.3397893576007901, -0.13363592072644018, -0.2319762838270628, 0.10253667144923273, -0.2677456281416005, -0.03153453925342271, 0.18302501694680276, 0.013706881637600336, 0.013065398302084455, 0.06634863714377086, 0.09739881313659927, -0.00010794581788958925, -0.1860647793633468, 0.30703054859556933, 0.13260410584960924, 0.2660952206263601, 0.15922429296893603, 0.032064743086018345, -0.03175807185471058, -0.09385361875209844, -0.05790987452774337, -0.16131262187704895, 0.08148551884699952, 0.224907638561545, 0.1037926899593775, 0.18383927688454138, -0.39241823232309386, -0.20365569946553672, 0.07926173889162866, 0.09390539117157459, 0.10624088184682257, -0.09629046118590684, -0.30500651196096884, 0.042407333991970074, -0.14194650674295245, -0.2039713617978674, -0.05741865223160747, 0.048689725075029965, 0.03957590827661933, -0.1981744592388471, 0.034245961091735146, -0.022373616751847847, 0.025105247443372555, -0.06857235842934725, -0.18199022122743455, -0.0014064005491408434, 0.03512739948928356, 0.0851363965140825, -0.012655093193505749, 0.16827437275964202, -0.15956435307408823, -0.061450007555046766, 0.5089802466558687, -0.018349614572908842, -0.21287001172701517, 0.1652496001034072, -0.1439711501200994, -0.22029929610928803, 0.10674478267813384, 0.1699869344857606, 0.1067578239705075, -0.17021404647014357, 0.11741480384918043, 0.002748564167907744, 0.09834514253518799, 0.015707076329625015, 0.08844748963460777, 0.21874525871438286, 0.23431413152226896, -0.010011916556818918, 0.16582671801249185, -0.10108896030931536, -0.10805195918532484, -0.33455248527003056, -0.13791605570551121, -0.21498206167510062, -0.04518669561454744, 0.006256850549658394, -0.10992550494318659, 0.4498990857691476, 0.10055631884571278, 0.19978065397872619, -0.06929144443887653, 0.2699586382756631, 0.1014576278570475, 0.008616653793124538, -0.03497219867439884, 0.2876680931923064, 0.2375384128342072, 0.1190509355457669, -0.264758313074708, -0.009065382224930958, 0.04554277584380047] |
711.0579 | Twisted Dedekind Type Sums Associated with Barnes' Type Multiple
Frobenius-Euler l-Functions | The aim of this paper is to construct new Dedekind type sums. We construct
generating functions of Barnes' type multiple Frobenius-Euler numbers and
polynomials. By applying Mellin transformation to these functions, we define
Barnes' type multiple l-functions, which interpolate Frobenius-Euler numbers at
negative integers. By using generalizations of the Frobenius-Euler functions,
we define generalized Dedekind type sums and prove corresponding reciprocity
law. We also give twisted versions of the Frobenius-Euler polynomials and new
Dedekind type sums and corresponding reciprocity law. Furthermore, by using
p-adic q-Volkenborn integral and twisted (h,q)-Bernoulli functions, we
construct p-adic (h,q)-higher order Dedekind type sums. By using relation
between Bernoulli and Frobenius-Euler functions, we also define analogues of
Hardy-Berndt type sums. We give some new relations related to to these sums as
well.
| math.NT math.GM | the aim of this paper is to construct new dedekind type sums we construct generating functions of barnes type multiple frobeniuseuler numbers and polynomials by applying mellin transformation to these functions we define barnes type multiple lfunctions which interpolate frobeniuseuler numbers at negative integers by using generalizations of the frobeniuseuler functions we define generalized dedekind type sums and prove corresponding reciprocity law we also give twisted versions of the frobeniuseuler polynomials and new dedekind type sums and corresponding reciprocity law furthermore by using padic qvolkenborn integral and twisted hqbernoulli functions we construct padic hqhigher order dedekind type sums by using relation between bernoulli and frobeniuseuler functions we also define analogues of hardyberndt type sums we give some new relations related to to these sums as well | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'construct', 'new', 'dedekind', 'type', 'sums', 'we', 'construct', 'generating', 'functions', 'of', 'barnes', 'type', 'multiple', 'frobeniuseuler', 'numbers', 'and', 'polynomials', 'by', 'applying', 'mellin', 'transformation', 'to', 'these', 'functions', 'we', 'define', 'barnes', 'type', 'multiple', 'lfunctions', 'which', 'interpolate', 'frobeniuseuler', 'numbers', 'at', 'negative', 'integers', 'by', 'using', 'generalizations', 'of', 'the', 'frobeniuseuler', 'functions', 'we', 'define', 'generalized', 'dedekind', 'type', 'sums', 'and', 'prove', 'corresponding', 'reciprocity', 'law', 'we', 'also', 'give', 'twisted', 'versions', 'of', 'the', 'frobeniuseuler', 'polynomials', 'and', 'new', 'dedekind', 'type', 'sums', 'and', 'corresponding', 'reciprocity', 'law', 'furthermore', 'by', 'using', 'padic', 'qvolkenborn', 'integral', 'and', 'twisted', 'hqbernoulli', 'functions', 'we', 'construct', 'padic', 'hqhigher', 'order', 'dedekind', 'type', 'sums', 'by', 'using', 'relation', 'between', 'bernoulli', 'and', 'frobeniuseuler', 'functions', 'we', 'also', 'define', 'analogues', 'of', 'hardyberndt', 'type', 'sums', 'we', 'give', 'some', 'new', 'relations', 'related', 'to', 'to', 'these', 'sums', 'as', 'well']] | [-0.18420447750668972, 0.07201119336299598, -0.12451025453582407, 0.17412663887441157, -0.16317455913871526, -0.12152521133422851, 0.05949823234323412, 0.2611332786865532, -0.3620038764476776, -0.2187824192601256, 0.05829336638003588, -0.2415744566693902, -0.2193819311745465, 0.23610969932377338, -0.08232313467562198, 0.019158274069428445, -0.07003006717562675, -0.026159109219908713, -0.13137311521172523, -0.3194773439615965, 0.435984747312963, -0.09802062577474863, 0.20562327332794667, 0.017253351852297785, 0.062499524287879464, 0.06886436167731881, -0.09604921570047736, -0.0853953424282372, -0.20787134350952693, 0.14560109534673393, 0.2740427584219724, 0.06894385780207812, 0.2374305955246091, -0.37978718385100363, -0.045529633805155754, 0.1985092659369111, 0.1598523501693271, -0.07947513431496918, 0.011479163376614452, -0.2538531930446625, 0.058247672796249386, -0.24350929885730146, -0.18109087036177515, -0.17103841683268547, 0.0049499056190252305, 0.2273826815187931, -0.31977882005646824, 0.08890516206770553, 0.00017024455312639474, 0.12467256329208612, -0.04652952484786511, -0.20354351465404033, 0.092141543565318, 0.032978439126163724, 0.006793270530179143, -0.021769023932516576, -0.031126692667603494, -0.06326519322954119, -0.18115040351822972, 0.2791770476922393, -0.022498094740323722, -0.2730376593396068, 0.09420808958075941, -0.17787602861225604, -0.21997413620352746, 0.03056806069239974, 0.11091217048093677, 0.1374211071083555, -0.05382759377360344, 0.05944181343633682, -0.11893087060004473, 0.03184338077809662, 0.24055723977833987, 0.04351191195100546, 0.18013757590204477, -0.10956737151741981, -0.05995835457742214, 0.2760440911874175, -0.0028745282255113126, -0.06482967859506607, -0.3750352924996987, -0.1969097003415227, -0.13831877525150776, 0.16569914574176073, -0.1354948477365542, -0.20137497842311858, 0.36649609544873235, 0.07055472083389759, 0.12883332216739654, 0.23854780969861894, 0.13417925132997335, 0.21453102710004895, 0.09964218609780073, -0.02487672648951411, 0.015286494554253295, 0.26674132869392636, 0.05502415918558836, -0.04813408057764173, -0.057669234726578, 0.32181682805344464] |
711.058 | Information Loss of Black Hole | This paper has been withdrawn by the author due to a crucial sign error in
equation 1.
| quant-ph gr-qc | this paper has been withdrawn by the author due to a crucial sign error in equation 1 | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'a', 'crucial', 'sign', 'error', 'in', 'equation', '1']] | [-0.13030415652867625, -0.017005475895369753, -0.09216447875780218, -0.006315592601073577, -0.10587231431375532, -0.12000912271768731, -0.009933547000400722, 0.2967071235179901, -0.28005319965236325, -0.3795580270097536, 0.1219479086849948, -0.2789364844998893, -0.17245428954415462, 0.06643538264667287, -0.2520928998094271, 0.14114090296275475, 0.03622678623479955, -0.021801102358628723, -0.022094584672766572, -0.3005949547788238, 0.34802110975279527, 0.11501450003946528, 0.2403092134524794, 0.1913308024625568, 0.06866415327086169, -0.06455011789084357, -0.06596305056968156, -0.04323497348848511, -0.1500014896668932, 0.060787886490716654, 0.24189730120055816, -0.0409662609180326, 0.47178805559216175, -0.363208877196645, -0.20757117133368463, 0.1661857594462002, 0.21865276619791985, 0.16502376339014838, -0.13112813623293357, -0.3453836101655136, 0.18578610136447585, -0.2833598937620135, -0.12456577673883122, 0.020234166699297288, 0.14227854865877068, -0.09350738460745882, -0.142661575204008, 0.12696131652988055, 0.16596406972145333, 0.1117359228870448, 0.012197526390938199, -0.15717712439158382, 0.08449843843631885, 0.17176057012094295, 0.20516618428861394, 0.1846392844146227, -0.06262493779992356, -0.10441740754279583, -0.08613274104016669, 0.37989731428816037, 0.002309949849458302, -0.27265582036446123, 0.04593919261413462, -0.08982653940534767, -0.13389976185691707, 0.179024188176674, 0.16463698660406997, 0.06533434113268466, -0.23408171008614934, 0.18768285962698214, 0.017606303150601247, 0.19802295723382166, 0.15199172370793188, -0.09726213839124231, 0.08321598281755167, 0.15109180593315294, 0.04274166063131655, 0.1326512034763308, -0.025155806037433007, -0.007237875176703229, -0.21153686195611954, -0.20016541069044785, -0.257997380432618, 0.10711144004017115, 0.13730336155961542, -0.06283304396578494, 0.416946419459932, 0.22069133774322622, 0.15807495920864098, -0.09801196723299868, 0.30492840751129036, 0.20137629646342248, 0.07169376160292064, 0.010820911868530162, 0.2896766267333399, 0.1792618321830078, 0.1946318365414353, -0.11892377300297513, 0.24308306915575967, 0.18588763824664056] |
711.0581 | Non-abelian pseudomeasures and congruences between abelian Iwasawa
L-functions | The paper starts out from pseudomeasures (in the sense of Serre) which hold
the arithmetic properties of the abelian $l$-adic Artin $L$-functions over
totally real number fields. In order to generalize to non-abelian $l$-adic
$L$-functions, these abelian pseudomeasures must satisfy congruences which are
introduced but not yet known to be true. The relation to the ``equivariant main
conjecture'' of Iwasawa theory is discussed.
| math.NT | the paper starts out from pseudomeasures in the sense of serre which hold the arithmetic properties of the abelian ladic artin lfunctions over totally real number fields in order to generalize to nonabelian ladic lfunctions these abelian pseudomeasures must satisfy congruences which are introduced but not yet known to be true the relation to the equivariant main conjecture of iwasawa theory is discussed | [['the', 'paper', 'starts', 'out', 'from', 'pseudomeasures', 'in', 'the', 'sense', 'of', 'serre', 'which', 'hold', 'the', 'arithmetic', 'properties', 'of', 'the', 'abelian', 'ladic', 'artin', 'lfunctions', 'over', 'totally', 'real', 'number', 'fields', 'in', 'order', 'to', 'generalize', 'to', 'nonabelian', 'ladic', 'lfunctions', 'these', 'abelian', 'pseudomeasures', 'must', 'satisfy', 'congruences', 'which', 'are', 'introduced', 'but', 'not', 'yet', 'known', 'to', 'be', 'true', 'the', 'relation', 'to', 'the', 'equivariant', 'main', 'conjecture', 'of', 'iwasawa', 'theory', 'is', 'discussed']] | [-0.201197293332024, 0.10206138943543747, -0.1821280030149316, 0.13742290415971112, -0.1756189400330186, -0.13960904215595552, -0.043389207276973936, 0.2576561699961386, -0.3120932855776378, -0.24393459198079884, 0.08162441454635608, -0.18125412757656287, -0.13241944349710905, 0.22407695016868057, -0.2126361478474878, 0.026187852832547848, -0.03838780727089634, 0.14361828938126564, -0.05304793897454464, -0.44316696822560125, 0.38753414729846614, -0.06435160439402338, 0.24366090514711916, 0.04866683735541763, 0.02783051198200574, -0.006246245811722936, -0.008055625483393669, -0.08244504778098966, -0.10353097304080923, 0.1335723954918129, 0.4216119444204701, -0.005592040333246428, 0.1798333219208178, -0.39936059191527346, -0.1214551922369985, 0.25182416301316746, 0.12324749670242743, -0.0037149577955937103, 0.04238845455268073, -0.2909331221783918, 0.1665888754577036, -0.17228748887363407, -0.2047945917140515, -0.10542935147763245, 0.042058533604537686, 0.049655522618974955, -0.22023287326437496, 0.02284310180102549, 0.12116796114770252, 0.1637800353623572, -0.09272655102956508, -0.12686189740068382, -0.02516648784605047, 0.07007955912027568, 0.10741379027373142, 0.027926954329900798, 0.07995334743625587, -0.11541800616338613, -0.11082157319862514, 0.38206887079609764, 0.014850862071080695, -0.1758546351588198, 0.09304734607807376, -0.199602912860139, -0.197840943117626, 0.10059484918527896, 0.028995846235562884, 0.10527324448857042, -0.0057621049798197215, 0.1819296744227084, -0.1757732690090225, 0.07049081850028227, 0.13221378079874235, -0.023857203031343126, 0.17283679230049961, -0.045130396587035014, 0.018223624247761947, 0.137184700143287, 0.05349038854714424, -0.08467842773016956, -0.3809891040658667, -0.19692959376270808, -0.11747921960768364, 0.17103735958101293, -0.025628976017561932, -0.19548850475500026, 0.37177515162953306, 0.19107705065684896, 0.10568514164714586, 0.20190976261870847, 0.19993870081158266, 0.07849472601498876, 0.09891384132649927, 0.02763759632343574, 0.13898093474863488, 0.32768371798807666, -0.03521287458438781, -0.09039621255064886, -0.028772058726717082, 0.2443178183997848] |
711.0582 | Permutations defining convex permutominoes | A permutomino of size n is a polyomino determined by particular pairs (P1,
P2) of permutations of size n, such that P1(i) is different from P2(i), for all
i. Here we determine the combinatorial properties and, in particular, the
characterization for the permutations defining convex permutominoes.
Using such a characterization, these permutations can be uniquely represented
in terms of the so called square permutations, introduced by Mansour and
Severini. Then, we provide a closed formula for the number of these
permutations with size n.
| math.CO | a permutomino of size n is a polyomino determined by particular pairs p1 p2 of permutations of size n such that p1i is different from p2i for all i here we determine the combinatorial properties and in particular the characterization for the permutations defining convex permutominoes using such a characterization these permutations can be uniquely represented in terms of the so called square permutations introduced by mansour and severini then we provide a closed formula for the number of these permutations with size n | [['a', 'permutomino', 'of', 'size', 'n', 'is', 'a', 'polyomino', 'determined', 'by', 'particular', 'pairs', 'p1', 'p2', 'of', 'permutations', 'of', 'size', 'n', 'such', 'that', 'p1i', 'is', 'different', 'from', 'p2i', 'for', 'all', 'i', 'here', 'we', 'determine', 'the', 'combinatorial', 'properties', 'and', 'in', 'particular', 'the', 'characterization', 'for', 'the', 'permutations', 'defining', 'convex', 'permutominoes', 'using', 'such', 'a', 'characterization', 'these', 'permutations', 'can', 'be', 'uniquely', 'represented', 'in', 'terms', 'of', 'the', 'so', 'called', 'square', 'permutations', 'introduced', 'by', 'mansour', 'and', 'severini', 'then', 'we', 'provide', 'a', 'closed', 'formula', 'for', 'the', 'number', 'of', 'these', 'permutations', 'with', 'size', 'n']] | [-0.13771456985929867, 0.17808541403738437, -0.018003611641441597, 0.03678399009664578, -0.04717281871808716, -0.11111311814575284, 0.04067837241117233, 0.3205217446350021, -0.3190438465479715, -0.3100595875171783, 0.09265877490713732, -0.24018091455469898, -0.14811171304124096, 0.18108135165163763, -0.10190351766154722, 0.03917667136907026, -0.002371197718736014, 0.062329659069224295, -0.07582235197027509, -0.27645572733111035, 0.29335644055031423, -0.04102824660546986, 0.1738140213901154, 0.011021572650973628, 0.06696909132563038, 0.05045989449538382, -0.02993364240054363, 0.09581089677450097, -0.18905928293805366, 0.09674013856177528, 0.24607407284130192, 0.20365234218353842, 0.1985590271881701, -0.37847693793383647, -0.0928924647964721, 0.1779060017225551, 0.17435321520522085, 0.04790732960423662, -0.03362793365010509, -0.22762888246560814, 0.12152506538126388, -0.1292712279813893, -0.13152545419188194, -0.033267441033213226, 0.10299167706182709, 0.10410878185274793, -0.3073545667676278, -0.04061167691776782, 0.11000908390952298, 0.09963641182324033, 0.02795574517437705, -0.16393753650517742, 0.0007657110346136269, 0.11753488021017408, -0.03125639851377518, 0.005741464054602899, 0.017451811587598957, -0.060616715650223654, -0.13017953191826373, 0.3522217092506679, 0.014788557798314242, -0.2461626426511542, 0.08208122738797999, -0.14334146119079288, -0.17445532632071847, 0.11599418752608293, 0.10643496431042383, 0.17369737623282422, -0.10140469461035581, 0.12635853791028767, -0.18888909865262699, 0.113813992175791, 0.16413568282200966, 0.047995546642966846, 0.1416355400679656, 0.11745759845354858, 0.0685364789233175, 0.19605702442766662, -0.04956343578013741, -0.004102409581573289, -0.3258513447219207, -0.1653300521918285, -0.22911421639735546, 0.09448889434268629, -0.12142905420990212, -0.18453070509856867, 0.39475885602749056, 0.07612510165199637, 0.22314547541275345, 0.12170146762703855, 0.18602143399658855, 0.07110333665745494, 0.05487182973251666, 0.08071385889118653, 0.08569940972935271, 0.14378035996960084, -0.08213344844127143, -0.1985517424950951, 0.0635024322208339, 0.1673337030052035] |
711.0583 | Fluctuations for a conservative interface model on a wall | We consider an effective interface model on a hard wall in (1+1) dimensions,
with conservation of the area between the interface and the wall. We prove that
the equilibrium fluctuations of the height variable converge in law to the
solution of a SPDE with reflection and conservation of the space average. The
proof is based on recent results obtained with L. Ambrosio and G. Savare on
stability properties of Markov processes with log-concave invariant measures.
| math.PR | we consider an effective interface model on a hard wall in 11 dimensions with conservation of the area between the interface and the wall we prove that the equilibrium fluctuations of the height variable converge in law to the solution of a spde with reflection and conservation of the space average the proof is based on recent results obtained with l ambrosio and g savare on stability properties of markov processes with logconcave invariant measures | [['we', 'consider', 'an', 'effective', 'interface', 'model', 'on', 'a', 'hard', 'wall', 'in', '11', 'dimensions', 'with', 'conservation', 'of', 'the', 'area', 'between', 'the', 'interface', 'and', 'the', 'wall', 'we', 'prove', 'that', 'the', 'equilibrium', 'fluctuations', 'of', 'the', 'height', 'variable', 'converge', 'in', 'law', 'to', 'the', 'solution', 'of', 'a', 'spde', 'with', 'reflection', 'and', 'conservation', 'of', 'the', 'space', 'average', 'the', 'proof', 'is', 'based', 'on', 'recent', 'results', 'obtained', 'with', 'l', 'ambrosio', 'and', 'g', 'savare', 'on', 'stability', 'properties', 'of', 'markov', 'processes', 'with', 'logconcave', 'invariant', 'measures']] | [-0.13439446435620386, 0.09107282214041333, -0.1359134741825983, 0.018392520492585995, -0.028749060829480488, -0.1079910891254743, 0.048477784724285204, 0.34411097859342893, -0.2554643232623736, -0.29490469619942206, 0.12601511795384188, -0.293910976909101, -0.09989633070615431, 0.13469141783503194, -0.06707585922131935, 0.07893405312051376, 0.013026874071607988, 0.007638454400002956, -0.042938006782593824, -0.18922261497937143, 0.34842426154762507, 0.020731446724385025, 0.2929397610699137, 0.07608270682394505, 0.15226705335701504, 0.021435903609575084, -0.03192910195638736, 0.034339712218303856, -0.19365577278396814, 0.13808586505552134, 0.14771488127609095, 0.03960493431116144, 0.21658473213513693, -0.38625967130375405, -0.19546021174329023, 0.07208944921071331, 0.08130582450501, 0.02402416411942492, -0.03651807201560587, -0.29402234189212323, 0.06460316820380588, -0.11965494559456905, -0.16330945383757353, -0.016386275241772334, 0.051392878194650014, 0.0837731757760048, -0.27090922301014264, 0.10624736162329403, 0.10370494668682416, 0.06760585996011893, -0.10062137446055809, -0.09386932181815306, -0.054995646563669044, 0.07064586303507288, 0.08816009197384118, 0.02378206727405389, 0.11426646941651901, -0.1116856203507632, -0.12099290591975054, 0.3384148226926724, -0.12304204905405641, -0.2593988721569379, 0.20150709649237494, -0.17743944339842224, -0.12232526656240225, 0.11024232963100075, 0.14913053944706917, 0.13155235570748725, -0.10533015013982852, 0.13961145544812703, -0.05681861044839025, 0.14378927385124068, 0.03255212559054295, -0.013477055337280035, 0.13683679812277358, 0.15633221820772936, 0.13294284810622534, 0.17133357717655598, -0.056437010935818155, -0.13157150552918515, -0.33270088670154413, -0.17475547251602014, -0.18997733525931834, 0.07986854730794828, -0.12391245792872117, -0.18341103515277307, 0.34171613994985817, 0.12486046349008878, 0.19277680608133474, 0.11945315566534798, 0.22574594584604105, 0.16175947950532038, 0.007328296365837256, 0.11357686309143901, 0.1917664227169007, 0.17236742376970748, 0.1234664593078196, -0.20274918527031938, 0.02962620393217852, 0.12212765206893285] |
711.0584 | An effective and sharp lower bound on Seshadri constants on surfaces
with Picard number 1 | We study lower bounds on Seshadri constants at arbitrary points on surfaces
with Picard number 1.
| math.AG | we study lower bounds on seshadri constants at arbitrary points on surfaces with picard number 1 | [['we', 'study', 'lower', 'bounds', 'on', 'seshadri', 'constants', 'at', 'arbitrary', 'points', 'on', 'surfaces', 'with', 'picard', 'number', '1']] | [-0.23620049003511667, 0.12272317410679534, 0.0016222372360061854, 0.06793073902372271, -0.03753375471569598, -0.20747538015712053, 0.170044279191643, 0.3419736734358594, -0.1657165503129363, -0.3324924339540303, 0.08311284446972422, -0.3415436204522848, -0.07693786680465564, 0.3356241885339841, -0.11200944660231471, 0.03378077282104641, -0.03801804152317345, 0.08059296710416675, -0.09772161417640746, -0.42428586119785905, 0.43926534336060286, 0.002810991369187832, 0.20684918036567979, 0.16832600347697735, 0.07984669273719192, -0.025143959326669574, 0.0654561280971393, -0.09744794544531032, -0.36593479983275756, 0.2238603609148413, 0.22441019513644278, -0.07106229645432904, 0.1491887426818721, -0.40755865862593055, -0.10922276816563681, 0.16266738227568567, 0.0737021416425705, 0.07490645023062825, 0.0108413814305095, -0.16092853475129232, 0.11944911512546241, 0.04772585933096707, -0.1760307703516446, -0.0716446817968972, 0.02471097101806663, 0.05123434784763958, -0.2082474956405349, -0.09986182174179703, -0.10074619646184146, 0.261931732238736, -0.06530168355675414, -0.25255096913315356, 0.02703059636405669, 0.010559178452240303, 0.06966314895544201, -0.03500617029203568, 0.10240762427565642, -0.06212969869375229, -0.07423223320802208, 0.2894080571131781, -0.12030218099243939, -0.27200855500996113, 0.19285942940041423, -0.18571750237606466, -0.15981294616358355, 0.15743343625217676, 0.2734295068657957, 0.25350580480881035, 0.14609124301932752, 0.19947868314920925, -0.09517436369787902, 0.14111001696437597, 0.2023266518372111, -0.006799009628593922, 0.056804509134963155, 0.0270485479850322, 0.20446592313237488, 0.05127683491446078, -0.022176168131409213, -0.0066005903063341975, -0.410271389875561, -0.15744656714377925, -0.19566173572093248, 0.14217152609489858, -0.23740847676526755, -0.0709791465123999, 0.2972656162455678, 0.005945952201727778, 0.27424959535710514, 0.2193103859317489, 0.2547520538792014, 0.04928896139608696, -0.03642718819901347, 0.1586152067175135, 0.15917109890142456, 0.14954912499524653, -0.11270001358934678, -0.12070638057775795, 0.018511115107685328, 0.3094817284727469] |
711.0585 | Huygens' construction in a dispersive medium moving at a constant
velocity | We extend the method of Huygens' construction in a uniformly moving optical
medium [Am. J. Phys. 72, 934 (2004)] to the case when the medium is dispersive
in its rest frame of reference. The first-order Huygens' construction analysis
of the light drag in a transversely moving dispersive slab is in agreement with
the results of the experiment by Jones (1975) and with the Player-Rogers
formula for the downstream deflection of the beam. The derivation purports that
the original Huygens' principle remains valid in non-stationary situations if
it is modified to include the relativistic effects on the secondary wavelets
caused by the motion of the medium.
| physics.optics physics.class-ph | we extend the method of huygens construction in a uniformly moving optical medium am j phys 72 934 2004 to the case when the medium is dispersive in its rest frame of reference the firstorder huygens construction analysis of the light drag in a transversely moving dispersive slab is in agreement with the results of the experiment by jones 1975 and with the playerrogers formula for the downstream deflection of the beam the derivation purports that the original huygens principle remains valid in nonstationary situations if it is modified to include the relativistic effects on the secondary wavelets caused by the motion of the medium | [['we', 'extend', 'the', 'method', 'of', 'huygens', 'construction', 'in', 'a', 'uniformly', 'moving', 'optical', 'medium', 'am', 'j', 'phys', '72', '934', '2004', 'to', 'the', 'case', 'when', 'the', 'medium', 'is', 'dispersive', 'in', 'its', 'rest', 'frame', 'of', 'reference', 'the', 'firstorder', 'huygens', 'construction', 'analysis', 'of', 'the', 'light', 'drag', 'in', 'a', 'transversely', 'moving', 'dispersive', 'slab', 'is', 'in', 'agreement', 'with', 'the', 'results', 'of', 'the', 'experiment', 'by', 'jones', '1975', 'and', 'with', 'the', 'playerrogers', 'formula', 'for', 'the', 'downstream', 'deflection', 'of', 'the', 'beam', 'the', 'derivation', 'purports', 'that', 'the', 'original', 'huygens', 'principle', 'remains', 'valid', 'in', 'nonstationary', 'situations', 'if', 'it', 'is', 'modified', 'to', 'include', 'the', 'relativistic', 'effects', 'on', 'the', 'secondary', 'wavelets', 'caused', 'by', 'the', 'motion', 'of', 'the', 'medium']] | [-0.11122181102221546, 0.1308829328716876, -0.11124495304214249, -0.0075609634838586385, -0.07229846734732676, -0.10678826541586134, 0.01619192619881897, 0.3568739770965364, -0.23572382160749, -0.2820936072653589, 0.046265535120395586, -0.27123928845573503, -0.10448337801230642, 0.20958379681598252, -0.0830555789781591, 0.031172646146352727, 0.04678373542712787, 0.0005870707995759753, -0.018980139730466854, -0.18739528054944599, 0.2694040896335187, 0.11709598551253574, 0.2726296031718308, 0.015602166560711339, 0.08469345719249059, 0.10204103189216067, -0.06879576420089087, 0.0028280316261001504, -0.0773343840335376, 0.08609547113211682, 0.16207554459553927, 0.05358372124520919, 0.22056538325089675, -0.37929023352738184, -0.22937941876667678, 0.021189418334800463, 0.06930031616670582, 0.13133010627307856, -0.028859703887764435, -0.3118892960550371, 0.0020620479391744505, -0.13541984697803855, -0.23261398491181004, 0.012397724356000813, 0.057936865818471864, 0.05730826031559935, -0.24933236970816955, 0.11495717120347902, 0.11693263214636737, 0.006851317593827844, -0.07461317592018392, -0.05535239016171545, 0.016468920315114353, 0.05122840918892717, 0.035043183308936514, 0.05731094980057186, 0.1143351577573832, -0.09650438421298392, -0.04831635994756093, 0.44892762099894196, -0.10086729427656302, -0.1837871830122402, 0.15781414817320183, -0.18532471027440175, -0.05173769815099569, 0.15912547684274614, 0.14041528366327, 0.11395702100932024, -0.15564307804477442, 0.07486023527711111, -0.10860317610562421, 0.132328847118725, 0.13189366267313465, -0.021174903547734384, 0.15930779826325867, 0.11258562611888359, -0.0001956586336466269, 0.12633108469666554, -0.10920394702071252, -0.06081840489059687, -0.3409751476899076, -0.1490564836651454, -0.18169495850004472, 0.015832233422910437, -0.06944416038892925, -0.11720543249080387, 0.3480973301025537, 0.13101465158307782, 0.1133854932581576, -0.016999462977624856, 0.30293286785532614, 0.11058680003602953, 0.0014400845902855508, 0.13126997662654433, 0.3494239420150944, 0.18363350920397073, 0.17281343817012385, -0.22006258995343858, 0.0032868126335625467, 0.09994161935397781] |
711.0586 | Topological quantization by controlled paths: application to Cooper
pairs pumps | When physical systems are tunable by three classical parameters, level
degeneracies may occur at isolated points in parameter space. A topological
singularity in the phase of the degenerate eigenvectors exists at these points.
When a path encloses such point, the accumulated geometrical phase is sensitive
to its presence. Furthermore, surfaces in parameter space enclosing such point
can be used to characterize the eigenvector singularities through their Chern
indices, which are integers. They can be used to quantize a physical quantity
of interest. This quantity changes continuously during an adiabatic evolution
along a path in parameter space. Quantization requires to turn this path into a
surface with a well defined Chern index. We analyze the conditions necessary to
a {\em Topological Quantization by Controlled Paths}. It is applied to Cooper
pair pumps. For more general problems, a set of four criteria are proposed to
check if topological quantization is possible.
| cond-mat.mes-hall cond-mat.supr-con quant-ph | when physical systems are tunable by three classical parameters level degeneracies may occur at isolated points in parameter space a topological singularity in the phase of the degenerate eigenvectors exists at these points when a path encloses such point the accumulated geometrical phase is sensitive to its presence furthermore surfaces in parameter space enclosing such point can be used to characterize the eigenvector singularities through their chern indices which are integers they can be used to quantize a physical quantity of interest this quantity changes continuously during an adiabatic evolution along a path in parameter space quantization requires to turn this path into a surface with a well defined chern index we analyze the conditions necessary to a em topological quantization by controlled paths it is applied to cooper pair pumps for more general problems a set of four criteria are proposed to check if topological quantization is possible | [['when', 'physical', 'systems', 'are', 'tunable', 'by', 'three', 'classical', 'parameters', 'level', 'degeneracies', 'may', 'occur', 'at', 'isolated', 'points', 'in', 'parameter', 'space', 'a', 'topological', 'singularity', 'in', 'the', 'phase', 'of', 'the', 'degenerate', 'eigenvectors', 'exists', 'at', 'these', 'points', 'when', 'a', 'path', 'encloses', 'such', 'point', 'the', 'accumulated', 'geometrical', 'phase', 'is', 'sensitive', 'to', 'its', 'presence', 'furthermore', 'surfaces', 'in', 'parameter', 'space', 'enclosing', 'such', 'point', 'can', 'be', 'used', 'to', 'characterize', 'the', 'eigenvector', 'singularities', 'through', 'their', 'chern', 'indices', 'which', 'are', 'integers', 'they', 'can', 'be', 'used', 'to', 'quantize', 'a', 'physical', 'quantity', 'of', 'interest', 'this', 'quantity', 'changes', 'continuously', 'during', 'an', 'adiabatic', 'evolution', 'along', 'a', 'path', 'in', 'parameter', 'space', 'quantization', 'requires', 'to', 'turn', 'this', 'path', 'into', 'a', 'surface', 'with', 'a', 'well', 'defined', 'chern', 'index', 'we', 'analyze', 'the', 'conditions', 'necessary', 'to', 'a', 'em', 'topological', 'quantization', 'by', 'controlled', 'paths', 'it', 'is', 'applied', 'to', 'cooper', 'pair', 'pumps', 'for', 'more', 'general', 'problems', 'a', 'set', 'of', 'four', 'criteria', 'are', 'proposed', 'to', 'check', 'if', 'topological', 'quantization', 'is', 'possible']] | [-0.19348493303037906, 0.1871508789482572, -0.09512372709648222, 0.07596674338123767, -0.08955662931321852, -0.14490580389076133, 0.07607717636891409, 0.3709608275793343, -0.30502102172764756, -0.2798823991731034, 0.08798417679406077, -0.2542443891515293, -0.16351403474132686, 0.18133921625253577, -0.08980806350658004, 0.06775190760561221, 0.024260558112955733, 0.02902276311132232, -0.0990845086971054, -0.23531222100925925, 0.34428288038409255, 0.007708120741100119, 0.24082556718354106, 0.024282673933236992, 0.07794422048125291, -0.016344196231873245, 0.03916410940399256, 0.05637986556999541, -0.14745372884450542, 0.04297026211124159, 0.2908053703781142, 0.050225229324435426, 0.23028818187897637, -0.3857243685739352, -0.2289417374382208, 0.14559363472531706, 0.13133886338042833, 0.09025088065044466, 0.011364212504493529, -0.25863159372277505, 0.11190763525289778, -0.10726773217570462, -0.163996276601949, -0.08914911430704113, 0.03247864895043957, -0.029758894953551707, -0.2575112486542546, 0.00047860322434192635, 0.00021657336193868179, 0.023208694963797228, -0.029913287827801335, -0.03727233838586874, -0.08823165640816243, 0.12194369525075172, 0.010086590994536977, 0.03843903604480001, 0.13201260828606834, -0.09433377654316691, -0.1130347468174569, 0.3845265349154454, -0.002907540017876449, -0.26251189605389164, 0.1609350525392782, -0.0983864062859508, -0.09818597823137655, 0.15758741982343713, 0.11398220373530116, 0.10884438429585261, -0.10647604482083568, 0.07822337122509043, 0.027342616142892597, 0.13558217992220112, 0.05890556401416859, 0.06638065122275758, 0.2718476060689126, 0.08686043591794852, 0.11731496605172054, 0.14669166594874988, -0.08735846631907102, -0.11008344204735399, -0.3239812188213004, -0.1908201693444694, -0.22292146767370852, 0.06433450209989444, -0.08229070124622659, -0.18504863073924344, 0.416163554418232, 0.12021578208351158, 0.24727315436298616, -0.045292624473203, 0.2536203731062366, 0.15618380934131665, 0.06193914462949658, 0.06046079497099948, 0.22244540585404973, 0.09630593517795205, 0.04161714332103229, -0.16505289996892913, 0.03236991312392306, 0.10501916609054444] |
711.0587 | Parametric estimation in noisy blind deconvolution model: a new
estimation procedure | In a parametric framework, the paper is devoted to the study of a new
estimation procedure for the inverse filter and the level noise in a complex
noisy blind discrete deconvolution model. Our estimation method is a
consequence of the sharp exploitation of the specifical properties of the
Hankel forms. The distribution of the input signal is also estimated. The
strong consistency and the asymptotic distribution of all estimates are
established. A consistent simulation study is added in order to demonstrate
empirically the computational performance of our estimation procedures.
| math.ST stat.TH | in a parametric framework the paper is devoted to the study of a new estimation procedure for the inverse filter and the level noise in a complex noisy blind discrete deconvolution model our estimation method is a consequence of the sharp exploitation of the specifical properties of the hankel forms the distribution of the input signal is also estimated the strong consistency and the asymptotic distribution of all estimates are established a consistent simulation study is added in order to demonstrate empirically the computational performance of our estimation procedures | [['in', 'a', 'parametric', 'framework', 'the', 'paper', 'is', 'devoted', 'to', 'the', 'study', 'of', 'a', 'new', 'estimation', 'procedure', 'for', 'the', 'inverse', 'filter', 'and', 'the', 'level', 'noise', 'in', 'a', 'complex', 'noisy', 'blind', 'discrete', 'deconvolution', 'model', 'our', 'estimation', 'method', 'is', 'a', 'consequence', 'of', 'the', 'sharp', 'exploitation', 'of', 'the', 'specifical', 'properties', 'of', 'the', 'hankel', 'forms', 'the', 'distribution', 'of', 'the', 'input', 'signal', 'is', 'also', 'estimated', 'the', 'strong', 'consistency', 'and', 'the', 'asymptotic', 'distribution', 'of', 'all', 'estimates', 'are', 'established', 'a', 'consistent', 'simulation', 'study', 'is', 'added', 'in', 'order', 'to', 'demonstrate', 'empirically', 'the', 'computational', 'performance', 'of', 'our', 'estimation', 'procedures']] | [-0.08171704881615267, -0.011909599238064852, -0.1153134179793382, 0.09565267527313756, -0.042868828761987804, -0.07139627763405024, 0.03856653431979835, 0.36312721414345034, -0.26546943545592633, -0.30215762103541516, 0.15681266042356787, -0.23898867153552142, -0.18889387341195277, 0.18779055584023258, -0.08712951708689667, 0.1171136634748722, 0.06526563593364332, 0.03601091183470876, -0.09555958300368504, -0.22397964227201647, 0.27625123588263656, 0.07502039633377382, 0.31703636192538764, -0.007622794907414511, 0.10592494878834219, -0.00965866662059607, -0.08229412441403511, -0.023290095824664563, -0.10474251719254456, 0.14893520826452902, 0.1988339690031128, 0.12038366768634721, 0.3210653822576062, -0.3282521305124411, -0.20724980873997542, 0.11245916213243781, 0.12864999830450738, 0.09373136927907387, -0.05416159610148896, -0.30420672039637403, 0.08371598076786887, -0.14085511848581642, -0.09105989428006867, -0.06798669862236535, -0.06294056057950921, 0.021014136832542298, -0.3560352743383539, 0.1036794492788482, 0.091533902111683, 0.03775385394169206, -0.04823993251454922, -0.10777808629300738, 0.028674367925131256, 0.1307226449429068, 0.047163047816007914, -0.02610835348735982, 0.07003294904663991, -0.15649672820536273, -0.07720701316936632, 0.3321988380852867, -0.06718933986881853, -0.22212883021180216, 0.15645559500442463, -0.1317866633677583, -0.12966741901937495, 0.14211741310094347, 0.2010269613329614, 0.12173639845856454, -0.1667568874283788, 0.09606041166319229, -0.046474588836093296, 0.16860217078892367, -0.010017980727251996, 0.019420864939522206, 0.12640240341895836, 0.21252128345305832, 0.08517330775058336, 0.19262750151703198, -0.1377924111648201, -0.06218578618705231, -0.33516146950005143, -0.15213603623541008, -0.22008591850701553, -0.03531612134590913, -0.11594014153835426, -0.18160921218020193, 0.4299180244430481, 0.20374503432971874, 0.1958766064496732, 0.08983798252334924, 0.3510847943887282, 0.15077721389544227, 0.012007575025625024, 0.03039966266225563, 0.22276806017760648, 0.18233088164307762, 0.04461534907308857, -0.22599427887562956, 0.10082015515242317, 0.037141591909582196] |
711.0588 | Searches for Physics beyond the Standard Model from HERA | Searches for physics beyond the Standard Model are reported from
electron-proton collisions at a center of mass energy of 318 GeV. Results on a
completely model independent search for deviations from Standard Model
predictions at large transverse momenta are reported as well as generic
searches for contact interactions, leptoquarks and excited fermions from the H1
and ZEUS experiments.
| hep-ex | searches for physics beyond the standard model are reported from electronproton collisions at a center of mass energy of 318 gev results on a completely model independent search for deviations from standard model predictions at large transverse momenta are reported as well as generic searches for contact interactions leptoquarks and excited fermions from the h1 and zeus experiments | [['searches', 'for', 'physics', 'beyond', 'the', 'standard', 'model', 'are', 'reported', 'from', 'electronproton', 'collisions', 'at', 'a', 'center', 'of', 'mass', 'energy', 'of', '318', 'gev', 'results', 'on', 'a', 'completely', 'model', 'independent', 'search', 'for', 'deviations', 'from', 'standard', 'model', 'predictions', 'at', 'large', 'transverse', 'momenta', 'are', 'reported', 'as', 'well', 'as', 'generic', 'searches', 'for', 'contact', 'interactions', 'leptoquarks', 'and', 'excited', 'fermions', 'from', 'the', 'h1', 'and', 'zeus', 'experiments']] | [-0.014271625044659293, 0.225297945623832, -0.032700406801927, 0.16255363337053308, -0.007596602759741503, -0.15738431017460494, 0.017080038689590734, 0.31004903454269317, -0.18903540864843746, -0.37093873656001586, 0.006045330412172038, -0.39794420836300687, 0.047048962626863144, 0.22327916585872398, 0.16239666938781738, 0.11730725897861452, 0.12740844805275314, 0.0015961816534399986, -0.04989031962408074, -0.12991126323247265, 0.26095317080938096, 0.1143400829670758, 0.20739990023189578, 0.09896127407535396, 0.061790330174924996, 0.04647425159506885, -0.028204441006327498, -0.035806250148292244, -0.13845479138323974, 0.031575018448197156, 0.22914814918526802, 0.009563581894451938, 0.12757898613826596, -0.34733620298833684, -0.14886568563765493, 0.0956730610241407, 0.12373398225112207, 0.14118833936237055, -0.12008580727029014, -0.3503058682806019, 0.05672516598334086, -0.20532216281019922, -0.13157099875990816, -0.04469016333239089, -0.014809437208519927, 0.0025633016665434017, -0.32605384580855223, 0.13982979330667777, -0.0327016947337362, 0.07251543831080198, -0.07671955117056596, -0.2249819588654771, -0.06916254372255684, 0.0008622541991544181, 0.09395276003713912, 0.06512698504656296, 0.17501723599331132, -0.16265434322372913, -0.21938170010930505, 0.39945164541232175, -0.08511902218491867, -0.14250059479622748, 0.2667981909893068, -0.1768640072891842, -0.1253215075582908, 0.13346807747388836, 0.28293308283298696, 0.04396936384928894, -0.1913499177979498, 0.1496260157316634, -0.04209647017755899, 0.14887277696859733, 0.07034503318096415, 0.027302933278782613, 0.2532433018666403, 0.22381966925579413, -0.02142528402779637, -0.0001179692777002166, -0.12390851345844567, -0.09302788976066072, -0.42598954254183274, -0.05264257737595973, -0.1422261237006249, 0.03147161527183549, -0.02374761017663645, -0.02472827879005465, 0.3435621864066042, 0.12473516253722382, 0.2737103157901558, 0.07258359995542159, 0.29638408201521843, 0.030071265220738434, 0.14296465608740933, 0.06094782541762909, 0.3678132598850362, 0.09818229617165594, 0.14518984844747546, -0.10890579409094463, -0.022157640373013144, 0.03674069419503212] |
711.0589 | Congruences between abelian pseudomeasures | Following Deligne and Ribet (`Values of abelian $L$-functions at negative
integers over totally real fields.' Invent. Math. 59 (1980), 227-286) we prove
that the `torsion congruences' (as introduced in our paper `Non-abelian
pseudomeasures and congruences between abelian Iwasawa $L$-functions.' To
appear in Pure and Applied Mathematics Quarterly) hold and so reduce the `main
conjecture' of equivariant Iwasawa theory to the integrality of the logarithmic
pseudomeasure.
| math.NT | following deligne and ribet values of abelian lfunctions at negative integers over totally real fields invent math 59 1980 227286 we prove that the torsion congruences as introduced in our paper nonabelian pseudomeasures and congruences between abelian iwasawa lfunctions to appear in pure and applied mathematics quarterly hold and so reduce the main conjecture of equivariant iwasawa theory to the integrality of the logarithmic pseudomeasure | [['following', 'deligne', 'and', 'ribet', 'values', 'of', 'abelian', 'lfunctions', 'at', 'negative', 'integers', 'over', 'totally', 'real', 'fields', 'invent', 'math', '59', '1980', '227286', 'we', 'prove', 'that', 'the', 'torsion', 'congruences', 'as', 'introduced', 'in', 'our', 'paper', 'nonabelian', 'pseudomeasures', 'and', 'congruences', 'between', 'abelian', 'iwasawa', 'lfunctions', 'to', 'appear', 'in', 'pure', 'and', 'applied', 'mathematics', 'quarterly', 'hold', 'and', 'so', 'reduce', 'the', 'main', 'conjecture', 'of', 'equivariant', 'iwasawa', 'theory', 'to', 'the', 'integrality', 'of', 'the', 'logarithmic', 'pseudomeasure']] | [-0.1712697551920428, 0.050977349559616414, -0.1658614846310229, 0.12038165968260728, -0.14521430230524857, -0.13664354692446068, -0.005291289276556199, 0.2318266846041297, -0.2663679506222252, -0.30660707484639715, 0.0421762105270318, -0.1968857325373392, -0.1498089144588448, 0.21333816926926374, -0.20743024529656395, -0.0126079675389974, -0.038272443242021836, 0.04332964570494369, -0.03705661744970712, -0.4566450152537982, 0.3623433092070627, -0.054199437974602915, 0.22367964455042966, 0.10086273690831149, 0.04214164002041798, 0.03262722368890536, -0.028616092626180034, -0.10604292829521, -0.13312188539487124, 0.1538449823456176, 0.4118311228812672, -0.010640489275829168, 0.23103830752370413, -0.38466648623580113, -0.08592899224095163, 0.2361202156971558, 0.05446790258429246, -0.034164939272159245, 0.047282184907089686, -0.287445269030286, 0.1331817228356158, -0.173090388525452, -0.18047509447205812, -0.09214357516611926, 0.11696059883252019, 0.007788965636791545, -0.23201616511505563, 0.06803995645532268, 0.13576035047481128, 0.22065714323252905, -0.1259931494932971, -0.19792421242163982, -0.023698018445429625, 0.02934698564786231, 0.1242208098701667, 0.040539769870520104, 0.05638575440752902, -0.07833095363457687, -0.2011234830279136, 0.2946903754491359, -0.03260106946981978, -0.13079920734162442, 0.0853512880503331, -0.17033103201538324, -0.21378738211933523, 0.06965912744635716, 0.08810212317257538, 0.1317612859638757, 0.06136660111224046, 0.22548608446595608, -0.16128740351996385, 0.0401359615570982, 0.2612153722293442, -0.08976632222038461, 0.12489265157637419, -0.09669054270489141, 0.0011882285180035979, 0.14247261221316876, 0.042932508542435244, -0.051184601106797345, -0.3718398312048521, -0.23639869794715196, -0.10891701424407074, 0.1954631845728727, -0.07081190564622375, -0.158290213708824, 0.3841286464885343, 0.15731240653258283, 0.08189902504091151, 0.18505274644849123, 0.14707041145084077, 0.06261019822704839, 0.04959198129654396, 0.08659051875292789, 0.11719648286430129, 0.3427371557627339, 0.0448585684698628, -0.10201347465044819, -0.11261289996855339, 0.21797136499662884] |
711.059 | Quasiparticle Model of Quark-Gluon Plasma at Imaginary Chemical
Potential | A quasiparticle model of the quark-gluon plasma is compared with lattice QCD
data for purely imaginary chemical potential. Net quark number density,
susceptibility as well as the deconfinement border line in the phase diagram of
strongly interacting matter are investigated. In addition, the impact of
baryo-chemical potential dependent quasiparticle masses is discussed. This
accomplishes a direct test of the model for non-zero baryon density. The found
results are compared with lattice QCD data for real chemical potential by means
of analytic continuation and with a different (independent) set of lattice QCD
data at zero chemical potential.
| hep-ph | a quasiparticle model of the quarkgluon plasma is compared with lattice qcd data for purely imaginary chemical potential net quark number density susceptibility as well as the deconfinement border line in the phase diagram of strongly interacting matter are investigated in addition the impact of baryochemical potential dependent quasiparticle masses is discussed this accomplishes a direct test of the model for nonzero baryon density the found results are compared with lattice qcd data for real chemical potential by means of analytic continuation and with a different independent set of lattice qcd data at zero chemical potential | [['a', 'quasiparticle', 'model', 'of', 'the', 'quarkgluon', 'plasma', 'is', 'compared', 'with', 'lattice', 'qcd', 'data', 'for', 'purely', 'imaginary', 'chemical', 'potential', 'net', 'quark', 'number', 'density', 'susceptibility', 'as', 'well', 'as', 'the', 'deconfinement', 'border', 'line', 'in', 'the', 'phase', 'diagram', 'of', 'strongly', 'interacting', 'matter', 'are', 'investigated', 'in', 'addition', 'the', 'impact', 'of', 'baryochemical', 'potential', 'dependent', 'quasiparticle', 'masses', 'is', 'discussed', 'this', 'accomplishes', 'a', 'direct', 'test', 'of', 'the', 'model', 'for', 'nonzero', 'baryon', 'density', 'the', 'found', 'results', 'are', 'compared', 'with', 'lattice', 'qcd', 'data', 'for', 'real', 'chemical', 'potential', 'by', 'means', 'of', 'analytic', 'continuation', 'and', 'with', 'a', 'different', 'independent', 'set', 'of', 'lattice', 'qcd', 'data', 'at', 'zero', 'chemical', 'potential']] | [-0.11496035099996031, 0.2127583214751212, -0.098627434213995, 0.04286187784479504, -0.05178213849042853, -0.0884339935000753, 0.1026926269987598, 0.3478136439031611, -0.17427829839289188, -0.2409025370531405, 0.032226714322556894, -0.31770994583105977, -0.05899172738524309, 0.11576831557552698, 0.11467847584087092, 0.1010595461120829, 0.017795532427650567, 0.0617081819170077, -0.07509553019296315, -0.2319623454629133, 0.3387959968337479, 0.016285699462362874, 0.2529205072593565, 0.16150853194994852, 0.00565161269211482, -0.012965646358982971, -0.05055162433806496, 0.032719249890457526, -0.10342711142872456, -0.0051723684737225994, 0.20100700910734304, -6.247347672191002e-05, 0.15095885243499652, -0.3830502764709915, -0.26972572577991133, 0.11225184253028904, 0.1382713090715697, 0.13912851411926871, -0.10503063788443494, -0.24297116257366724, 0.07032021944178268, -0.20448477999889292, -0.1978428926280079, -0.1327633643425846, 0.0022694755122453594, 0.05837771359559459, -0.3008885357218484, 0.12780064500596686, -0.0959554686063105, 0.0951104644627776, -0.06389845334342681, -0.22413772226233655, -0.08735704624753755, 0.05774777964628205, 0.03697631532607678, 0.12349065016314853, 0.16484277130803093, -0.1732356677603093, -0.10139964050419319, 0.46327351169505465, -0.08952939632581547, -0.13996488809546767, 0.17385516845388338, -0.16363800440982837, -0.07828332400337483, 0.1363400524132885, 0.11964610974731234, 0.055221322501893155, -0.16924419059068896, 0.12184681381950213, -0.0009175503340278132, 0.11797964357538149, 0.034435990266501904, 0.020195487998231936, 0.27333787417349714, 0.21246156252891524, -0.0055759950579764945, 0.1121375192378764, -0.014023217396849455, -0.12848760412695506, -0.34847413997825544, -0.08637318060694572, -0.24923488671386926, -0.01070584056530303, -0.14492139876241103, -0.1927394117374206, 0.39575176599707146, 0.1305050199298421, 0.23770418078735625, 0.0044781844117096625, 0.3100038958170141, 0.12292635257123645, 0.032170073788923524, 0.020047582089318894, 0.21151351518346928, 0.1986680481180277, 0.15031224704580382, -0.31407326508876093, -0.04175885000343745, 0.06538013897807105] |
711.0591 | Dimensional reduction for energies with linear growth involving the
bending moment | A $\Gamma$-convergence analysis is used to perform a 3D-2D dimension
reduction of variational problems with linear growth. The adopted scaling gives
rise to a nonlinear membrane model which, because of the presence of higher
order external loadings inducing a bending moment, may depend on the average in
the transverse direction of a Cosserat vector field, as well as on the
deformation of the mid-plane. The assumption of linear growth on the energy
leads to an asymptotic analysis in the spaces of measures and of functions with
bounded variation.
| math.AP | a gammaconvergence analysis is used to perform a 3d2d dimension reduction of variational problems with linear growth the adopted scaling gives rise to a nonlinear membrane model which because of the presence of higher order external loadings inducing a bending moment may depend on the average in the transverse direction of a cosserat vector field as well as on the deformation of the midplane the assumption of linear growth on the energy leads to an asymptotic analysis in the spaces of measures and of functions with bounded variation | [['a', 'gammaconvergence', 'analysis', 'is', 'used', 'to', 'perform', 'a', '3d2d', 'dimension', 'reduction', 'of', 'variational', 'problems', 'with', 'linear', 'growth', 'the', 'adopted', 'scaling', 'gives', 'rise', 'to', 'a', 'nonlinear', 'membrane', 'model', 'which', 'because', 'of', 'the', 'presence', 'of', 'higher', 'order', 'external', 'loadings', 'inducing', 'a', 'bending', 'moment', 'may', 'depend', 'on', 'the', 'average', 'in', 'the', 'transverse', 'direction', 'of', 'a', 'cosserat', 'vector', 'field', 'as', 'well', 'as', 'on', 'the', 'deformation', 'of', 'the', 'midplane', 'the', 'assumption', 'of', 'linear', 'growth', 'on', 'the', 'energy', 'leads', 'to', 'an', 'asymptotic', 'analysis', 'in', 'the', 'spaces', 'of', 'measures', 'and', 'of', 'functions', 'with', 'bounded', 'variation']] | [-0.11972905467634766, 0.09107013146901656, -0.09507344905630982, 0.02886666748963762, -0.09267070262417705, -0.053966088490348986, 0.0002288433018045246, 0.30586122445211833, -0.28464311454445124, -0.27775586068376223, 0.11622235366005705, -0.23422542394308205, -0.12591407960280776, 0.18483203708786855, -0.0427109303524379, 0.0607985382296399, -0.016698102151911535, 0.055765214037488804, -0.0944717355371474, -0.20707657548006286, 0.31061971868092025, 0.061348773814229804, 0.31971540467136284, 0.05444646891291169, 0.13212189278353684, 0.029766735004324637, 0.009799554928163574, 0.05606979245997288, -0.1387145211602646, 0.16722059050913562, 0.17653422442725225, 0.021193580495574595, 0.286534667734734, -0.41324932858432556, -0.22827313537709415, 0.08594670101195913, 0.12258738699496131, 0.09773612098466732, 0.009772285066322762, -0.20893733503974296, 0.04855301785706119, -0.11746255130591718, -0.16565256295408207, -0.06273709832351994, -0.011784687867144716, 0.05978747905597133, -0.3153051623905247, 0.12414191816721788, 0.10206792897952255, 0.08181707106996328, -0.12358488064174625, -0.08180677800820293, -0.04693571755276273, 0.07033274559150661, 0.12616736940981355, 0.05837449157843366, 0.15771738489010287, -0.12908929273676636, -0.08048713124034376, 0.3858712079077536, -0.10224997652800415, -0.2586170134388588, 0.18645419920159673, -0.125622995398854, -0.08053125560664656, 0.12616215702357955, 0.22930272553904532, 0.09875119773840363, -0.07454232361421666, 0.10213169664480533, 0.014882020774001086, 0.17965237389911304, 0.07333474020230245, 0.0002761903345923532, 0.13268930282422595, 0.1748866321497851, 0.13832999163820536, 0.1715188254178925, -0.08591577867098915, -0.09689831096792742, -0.34592008127153595, -0.1315938165802932, -0.1530972784385085, 0.0834285666853909, -0.1417476860540112, -0.2593924878218042, 0.39937108796915377, 0.059453169589026154, 0.23072631155479362, 0.0584860011546301, 0.2414120549801737, 0.15997323087702336, 0.08389077962651341, 0.03202421254668893, 0.25316291519398376, 0.1979383054633879, 0.08433844358660281, -0.2390776422927791, 0.07877268449572677, 0.08114908225301902] |
711.0592 | Controlled Synchronization Under Information Constraints | The class of controlled synchronization systems under information constraints
imposed by limited information capacity of the coupling channel is analyzed. It
is shown that the framework proposed in A. L. Fradkov, B. Andrievsky, R. J.
Evans, Physical Review E 73, 066209 (2006) is suitable not only for
observer-based synchronization but also for controlled master-slave
synchronization via communication channel with limited information capacity. A
simple first order coder-decoder scheme is proposed and a theoretical analysis
for multi-dimensional master-slave systems represented in the Lurie form
(linear part plus nonlinearity depending only on measurable outputs) is
provided. An output feedback control law is proposed based on the Passification
theorem. It is shown that the upper bound of the limit synchronization error is
proportional to the upper bound of the transmission error. As a consequence,
both upper and lower bounds of limit synchronization error are proportional to
the maximum rate of the coupling signal and inversely proportional to the
information transmission rate (channel capacity). The results are applied to
controlled synchronization of two chaotic Chua systems coupled via a controller
and a channel with limited capacity.
| math.DS math.OC | the class of controlled synchronization systems under information constraints imposed by limited information capacity of the coupling channel is analyzed it is shown that the framework proposed in a l fradkov b andrievsky r j evans physical review e 73 066209 2006 is suitable not only for observerbased synchronization but also for controlled masterslave synchronization via communication channel with limited information capacity a simple first order coderdecoder scheme is proposed and a theoretical analysis for multidimensional masterslave systems represented in the lurie form linear part plus nonlinearity depending only on measurable outputs is provided an output feedback control law is proposed based on the passification theorem it is shown that the upper bound of the limit synchronization error is proportional to the upper bound of the transmission error as a consequence both upper and lower bounds of limit synchronization error are proportional to the maximum rate of the coupling signal and inversely proportional to the information transmission rate channel capacity the results are applied to controlled synchronization of two chaotic chua systems coupled via a controller and a channel with limited capacity | [['the', 'class', 'of', 'controlled', 'synchronization', 'systems', 'under', 'information', 'constraints', 'imposed', 'by', 'limited', 'information', 'capacity', 'of', 'the', 'coupling', 'channel', 'is', 'analyzed', 'it', 'is', 'shown', 'that', 'the', 'framework', 'proposed', 'in', 'a', 'l', 'fradkov', 'b', 'andrievsky', 'r', 'j', 'evans', 'physical', 'review', 'e', '73', '066209', '2006', 'is', 'suitable', 'not', 'only', 'for', 'observerbased', 'synchronization', 'but', 'also', 'for', 'controlled', 'masterslave', 'synchronization', 'via', 'communication', 'channel', 'with', 'limited', 'information', 'capacity', 'a', 'simple', 'first', 'order', 'coderdecoder', 'scheme', 'is', 'proposed', 'and', 'a', 'theoretical', 'analysis', 'for', 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'channel', 'with', 'limited', 'capacity']] | [-0.22858830254951584, 0.0781530569361649, -0.03245086723147741, 0.021467859401528896, -0.06987299702478854, -0.2352799453288733, 0.11514657873441804, 0.29666111458550787, -0.26378901796376425, -0.28944604651346884, 0.15932207512044916, -0.2284745685339973, -0.16367674475098706, 0.22805526585177668, -0.09184302038164528, 0.0862954142009163, 0.03543281434207905, 0.08812517160679832, 0.008313210309722445, -0.2461474732828831, 0.2490241028350263, 0.10493343808381252, 0.323220098551978, 0.04517041109131607, 0.1087320513474396, -0.016263223978997775, -0.011627511014672798, -0.01684205333881767, -0.15710472644349968, 0.0832682683603453, 0.21472579543088569, 0.10697455233347981, 0.2602040923456466, -0.3754353954732501, -0.200526505624147, 0.09187039111184175, 0.13498742392549407, 0.0664330634923246, -0.016131364278672213, -0.28243115084641224, 0.0748184076952618, -0.1809356133895796, -0.029591815920114808, -0.031792536121663016, 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711.0593 | Almost Periodic Orbits and Stability for Quantum Time-Dependent
Hamiltonians | We study almost periodic orbits of quantum systems and prove that for
periodic time-dependent Hamiltonians an orbit is almost periodic if, and only
if, it is precompact. In the case of quasiperiodic time-dependence we present
an example of a precompact orbit that is not almost periodic. Finally we
discuss some simple conditions assuring dynamical stability for nonautonomous
quantum system.
| math-ph math.MP | we study almost periodic orbits of quantum systems and prove that for periodic timedependent hamiltonians an orbit is almost periodic if and only if it is precompact in the case of quasiperiodic timedependence we present an example of a precompact orbit that is not almost periodic finally we discuss some simple conditions assuring dynamical stability for nonautonomous quantum system | [['we', 'study', 'almost', 'periodic', 'orbits', 'of', 'quantum', 'systems', 'and', 'prove', 'that', 'for', 'periodic', 'timedependent', 'hamiltonians', 'an', 'orbit', 'is', 'almost', 'periodic', 'if', 'and', 'only', 'if', 'it', 'is', 'precompact', 'in', 'the', 'case', 'of', 'quasiperiodic', 'timedependence', 'we', 'present', 'an', 'example', 'of', 'a', 'precompact', 'orbit', 'that', 'is', 'not', 'almost', 'periodic', 'finally', 'we', 'discuss', 'some', 'simple', 'conditions', 'assuring', 'dynamical', 'stability', 'for', 'nonautonomous', 'quantum', 'system']] | [-0.28376489230510543, 0.1489681498334009, -0.09131353894659018, 0.07940528472151481, -0.010844689048037438, -0.1432781567406383, 0.007074165130349792, 0.42601446832640694, -0.2717755116459172, -0.13343430086338925, 0.1758395997369346, -0.23793007899075747, -0.23134692632040735, 0.2938172648645053, -0.10443948438564726, 0.07351773573180377, 0.1524390055782209, 0.08645195849200363, -0.07733528518859865, -0.27601137627863276, 0.34818505154827895, -0.04045416309371969, 0.10375498252589319, 0.018255367782361552, 0.08905071545771118, 0.03952156806412011, 0.08593738206930585, -0.018889468510524702, -0.1835851574218457, 0.0027639223578370224, 0.15887646918516543, 0.05111082549743607, 0.2346863601972365, -0.384402403110733, -0.18203204826814895, 0.16353315381743647, 0.12073681880798885, 0.11893298020744222, -0.0717383574386585, -0.2874655368998331, 0.15395371112341094, -0.17565903855266712, -0.2564595469857677, -0.14467179386923879, 0.1519712340875955, 0.04035869855986182, -0.24438015549143743, 0.04853864127801637, 0.17539112118883768, 0.10742282730101024, -0.1561959676633952, 0.06156847041723776, -0.04999121832582405, 0.1162538950063162, 0.02161620502454876, -0.044258765746065874, 0.06858049767975838, -0.007165399845689535, -0.08863385175591555, 0.40018541567911536, -0.08059943371779933, -0.21301531217108338, 0.20427200619192495, -0.17051078023988817, -0.17202345190285626, 0.08728455111258111, 0.11558971402503676, 0.12049655916200856, -0.18223835985665604, 0.1515238310380097, -0.10563775518182981, 0.20470723288796716, 0.08235578006922693, 0.04291083933627707, 0.18940139033089756, 0.12161193592316014, 0.23056642841389877, 0.12723676124745506, 0.024164450165452593, -0.10112090318826801, -0.3282267113484569, -0.11772892816718351, -0.15876199131421112, 0.12081818628717822, -0.029328712466926615, -0.2721634280820519, 0.4031855836510658, 0.1161748315681214, 0.1265327816639664, 0.034151258400909726, 0.2046220519469451, 0.15247940586216874, -0.0665953759167154, 0.1300961962916841, 0.21887379819458208, 0.127878941185141, 0.01122292879400617, -0.2130580836654467, -0.03954557110792247, 0.094486892081292] |
711.0594 | Lines in the cosmic microwave background spectrum from the epoch of
cosmological helium recombination | The main goal of this work is to calculate the contributions to the
cosmological recombination spectrum due to bound-bound transitions of helium.
We show that due to the presence of helium in the early Universe unique
features appear in the total cosmological recombination spectrum. These may
provide a unique observational possibility to determine the relative abundance
of primordial helium, well before the formation of first stars. We include the
effect of the tiny fraction of neutral hydrogen atoms on the dynamics of HeII
-> HeI recombination at redshifts $z\sim 2500$. As discussed recently, this
process significantly accelerates HeII -> HeI recombination, resulting in
rather narrow and distinct features in the associated recombination spectrum.
In addition this process induces some emission within the hydrogen
Lyman-$\alpha$ line, before the actual epoch of hydrogen recombination round
$z\sim 1100-1500$. We also show that some of the fine structure transitions of
neutral helium appear in absorption, again leaving unique traces in the Cosmic
Microwave Background blackbody spectrum, which may allow to confirm our
understanding of the early Universe and detailed atomic physics.
| astro-ph | the main goal of this work is to calculate the contributions to the cosmological recombination spectrum due to boundbound transitions of helium we show that due to the presence of helium in the early universe unique features appear in the total cosmological recombination spectrum these may provide a unique observational possibility to determine the relative abundance of primordial helium well before the formation of first stars we include the effect of the tiny fraction of neutral hydrogen atoms on the dynamics of heii hei recombination at redshifts zsim 2500 as discussed recently this process significantly accelerates heii hei recombination resulting in rather narrow and distinct features in the associated recombination spectrum in addition this process induces some emission within the hydrogen lymanalpha line before the actual epoch of hydrogen recombination round zsim 11001500 we also show that some of the fine structure transitions of neutral helium appear in absorption again leaving unique traces in the cosmic microwave background blackbody spectrum which may allow to confirm our understanding of the early universe and detailed atomic physics | [['the', 'main', 'goal', 'of', 'this', 'work', 'is', 'to', 'calculate', 'the', 'contributions', 'to', 'the', 'cosmological', 'recombination', 'spectrum', 'due', 'to', 'boundbound', 'transitions', 'of', 'helium', 'we', 'show', 'that', 'due', 'to', 'the', 'presence', 'of', 'helium', 'in', 'the', 'early', 'universe', 'unique', 'features', 'appear', 'in', 'the', 'total', 'cosmological', 'recombination', 'spectrum', 'these', 'may', 'provide', 'a', 'unique', 'observational', 'possibility', 'to', 'determine', 'the', 'relative', 'abundance', 'of', 'primordial', 'helium', 'well', 'before', 'the', 'formation', 'of', 'first', 'stars', 'we', 'include', 'the', 'effect', 'of', 'the', 'tiny', 'fraction', 'of', 'neutral', 'hydrogen', 'atoms', 'on', 'the', 'dynamics', 'of', 'heii', 'hei', 'recombination', 'at', 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0.0872986903835634, 0.0013845777286259436] |
711.0595 | (a, 1)f structures on product of spheres | Our aim in this paper is to give some examples of $(a, 1)f$ Riemannian
structures (a generalization of an $r$-paracontact structure) induced on
product of spheres of codimension $r$ ($r \in \{1,2\} $) in an $m$-dimensional
Euclidean space ($m>2$), endowed with an almost product structure.
| math.DG | our aim in this paper is to give some examples of a 1f riemannian structures a generalization of an rparacontact structure induced on product of spheres of codimension r r in 12 in an mdimensional euclidean space m2 endowed with an almost product structure | [['our', 'aim', 'in', 'this', 'paper', 'is', 'to', 'give', 'some', 'examples', 'of', 'a', '1f', 'riemannian', 'structures', 'a', 'generalization', 'of', 'an', 'rparacontact', 'structure', 'induced', 'on', 'product', 'of', 'spheres', 'of', 'codimension', 'r', 'r', 'in', '12', 'in', 'an', 'mdimensional', 'euclidean', 'space', 'm2', 'endowed', 'with', 'an', 'almost', 'product', 'structure']] | [-0.19805060771547936, 0.06886280592450268, -0.03526431762359359, 0.005269622768868099, -0.029111546591262926, -0.06820283823815937, -0.07992923479601317, 0.37790001480078156, -0.25124602764844894, -0.214315248420462, 0.08331923541581174, -0.29625519600019534, -0.1909571720752865, 0.16441910524471579, -0.1446442915211347, -0.06975989682938565, 0.018014177426018498, 0.12001852767372673, -0.10658258468505334, -0.27226106644692744, 0.4234016931996765, 0.07086647111414508, 0.1753182556818832, 0.010109910349869593, 0.09089120280590247, -0.03687965984202244, 0.010542509802193805, 0.04201198834859745, -0.2149406089659103, 0.1673771495803852, 0.22680725902318954, 0.0678395922189917, 0.19749843431848355, -0.3745901315282522, -0.15232120658567344, 0.12992777946320447, 0.12230400375979529, -0.04554715799167752, -0.03294041275777007, -0.26900081493129785, 0.06984091899357736, -0.16686621528457513, -0.1803345531714678, -0.08202212907119909, 0.06249031236141243, -0.08355325896462257, -0.2606046949857211, -0.03230185937453908, 0.16300501433645628, 0.10401683059601717, -0.09955786790603517, -0.10112538063814017, 0.0024999006153930995, 0.06755232335787943, -0.017571981260764667, 0.09628127384084192, 0.03945290938612412, -0.04826397683196278, -0.14596469153184444, 0.35689175399866974, -0.0841078730511733, -0.3096114606173201, 0.1456358184699308, -0.14798047857105054, -0.11934513130902567, 0.11132624554871158, 0.16294239527037876, 0.16708599218294362, -0.07259276691580784, 0.1905275365464728, -0.06864658810875633, 0.13876765204424207, 0.08149044338444417, 0.006395540877499364, 0.13708152672783894, 0.18385639871385964, 0.1722518285545944, 0.17118799972178583, -0.02299366238929162, -0.043361285659061236, -0.35145871967754583, -0.21323100291192532, -0.1815612151880156, 0.219333497278223, -0.1674144968856126, -0.23778282144022259, 0.3736050534379584, -0.013161444465037097, 0.2649439912797375, 0.0507040278012441, 0.2368673292750662, -0.03132907615244304, -0.0005007832395759496, 0.09916887918106196, 0.11662024051408727, 0.20689311441542071, -0.003208121454173868, -0.0872812741197942, -0.061026067726991394, 0.0836388304702599] |
711.0596 | Normal domains with monomial presentations | Let A be a finitely generated commutative algebra over a field K with a
presentation A=K < X_{1}, ..., X_{n} | R >, where R is a set of monomial
relations in the generators X_{1}, ..., X_{n}. So A = K[S], the semigroup
algebra of the monoid S=< X_{1}, ..., X_{n} | R >. We characterize, purely in
terms of the defining relations, when A is an integrally closed domain,
provided R contains at most two relations. Also the class group of such
algebras A is calculated.
| math.RA math.AC | let a be a finitely generated commutative algebra over a field k with a presentation ak x_1 x_n r where r is a set of monomial relations in the generators x_1 x_n so a ks the semigroup algebra of the monoid s x_1 x_n r we characterize purely in terms of the defining relations when a is an integrally closed domain provided r contains at most two relations also the class group of such algebras a is calculated | [['let', 'a', 'be', 'a', 'finitely', 'generated', 'commutative', 'algebra', 'over', 'a', 'field', 'k', 'with', 'a', 'presentation', 'ak', 'x_1', 'x_n', 'r', 'where', 'r', 'is', 'a', 'set', 'of', 'monomial', 'relations', 'in', 'the', 'generators', 'x_1', 'x_n', 'so', 'a', 'ks', 'the', 'semigroup', 'algebra', 'of', 'the', 'monoid', 's', 'x_1', 'x_n', 'r', 'we', 'characterize', 'purely', 'in', 'terms', 'of', 'the', 'defining', 'relations', 'when', 'a', 'is', 'an', 'integrally', 'closed', 'domain', 'provided', 'r', 'contains', 'at', 'most', 'two', 'relations', 'also', 'the', 'class', 'group', 'of', 'such', 'algebras', 'a', 'is', 'calculated']] | [-0.24084174727352384, 0.10508150208345167, -0.10010858451446089, -0.013034195437705001, -0.06464381108227639, -0.15153593878046825, -0.06961109791285335, 0.3418520014159955, -0.4298014381664614, -0.11748108657029195, 0.08162139191960868, -0.32587487229074424, -0.043742030673923016, 0.20561162213711306, -0.08951820726901925, -0.10036928536077866, 0.016523254856180686, 0.17372939542222482, -0.11031591789558148, -0.2602042712462254, 0.3186679317090565, -0.08481589941463123, 0.14234579027367708, -0.08944740055654293, 0.1314571515107766, 0.005524646747523012, -0.0304291934097329, 0.05190534241055735, -0.19492682616393536, 0.07325687503012326, 0.31661524255879414, 0.12494071506154843, 0.28523645769709194, -0.32909029447592986, -0.05712424913564554, 0.22647562267211002, 0.1978369981934054, -0.09356997119119534, -0.024629345475636326, -0.22837385272559446, 0.14526828791564092, -0.2060433150245211, -0.10427357987739527, -0.014369039879873013, 0.18630173682527712, 0.021300299773709133, -0.4007015902166947, -0.05193962972463431, 0.11429175679595807, 0.21309579463484576, 0.01850898417745693, -0.11064317108442386, -0.07419733221057612, 0.03151400304191972, -0.07307345495045854, 0.09759105192885424, 0.07862402082014924, -0.04472372378185332, -0.09152665168333513, 0.36445783226726913, -0.032656547165690705, -0.24334166525528791, 0.055633090573768966, -0.23494579623907041, -0.12726476050626773, 0.08474921493623884, 0.009181552381517414, 0.1846598258946473, -0.10991214916430181, 0.2895023735622183, -0.18127133829805714, 0.09508491117351998, 0.04543446415127852, 0.03290086331514594, 0.20690446475950572, 0.08305735073279208, -0.0033178451375510446, 0.13036050516604566, 0.0679000559477852, 0.052471064252014726, -0.42694584367414695, -0.14185083286765104, -0.18151482310480413, 0.19194609899885762, -0.16306607336856616, -0.15801312155926076, 0.37289740966680723, 0.0812878287755526, 0.17908073123544455, 0.08968491242147791, 0.17898134994874665, 0.07748848504184608, 0.04829924921385753, 0.1203058450602186, -0.008696562073265132, 0.23934262142015192, -0.04766708567219142, -0.12661413767804894, 0.008366634997610863, 0.18529732532512683] |
711.0597 | Numerical approximation of the thermistor problem | We use a finite element approach based on Galerkin method to obtain
approximate steady state solutions of the thermistor problem with temperature
dependent electrical conductivity.
| math.AP math.NA | we use a finite element approach based on galerkin method to obtain approximate steady state solutions of the thermistor problem with temperature dependent electrical conductivity | [['we', 'use', 'a', 'finite', 'element', 'approach', 'based', 'on', 'galerkin', 'method', 'to', 'obtain', 'approximate', 'steady', 'state', 'solutions', 'of', 'the', 'thermistor', 'problem', 'with', 'temperature', 'dependent', 'electrical', 'conductivity']] | [-0.05513103295117617, 0.025797509737312794, -0.15849606767296792, -0.07764157274737954, -0.12204736523330212, -0.16889981051906944, 0.12332617335021495, 0.3839221067726612, -0.3071949890255928, -0.21338897556066513, 0.15083062786608933, -0.27869339406490323, -0.061835051253437995, 0.1933010556921363, -0.0002697600796818733, 0.15631226040422916, 0.06564669363200665, -0.01981566995382309, -0.13507871089503168, -0.16690803582780064, 0.32108336701989176, -0.07462562710046768, 0.38339738339185714, 0.08592920728027821, 0.2176641556620598, -0.05888811944052577, 0.02439162589609623, 0.09705518245697022, -0.14495277783833443, 0.08967243894468993, 0.2689400826394558, -0.025926699321717026, 0.24660488083958626, -0.4607119277119637, -0.2413089869916439, 0.09057540409266948, 0.09593605987727642, 0.18939544387161733, -0.06490179988089949, -0.21325241446495055, 0.06734747938811779, -0.1971798077970743, -0.17891692511737348, -0.13321139832027257, -0.036845350563526155, 0.0329956241697073, -0.29595230899751185, 0.18590937655419112, -0.037725018141791224, 0.044896204806864265, -0.18047157131135463, -0.14713778575882316, 0.04324283435940743, 0.025583757457789034, -0.02792464405298233, -0.02975492414087057, 0.09577911587432027, -0.03962010998278856, -0.07512230072170496, 0.3128988462686539, -0.15181192297488452, -0.30161369130015375, 0.12593716216273607, -0.08199552189558744, -0.03191401112824679, 0.1408115337602794, 0.1936985689215362, 0.2469594338349998, -0.1271940538659692, 0.11457532545551657, 0.0030343079566955565, 0.19679313100874424, -0.011807294748723506, -0.013035378940403462, 0.09858753949403763, 0.24366549879312516, 0.15286071762442588, 0.15720699049532413, -0.03718391478992999, -0.04952041015028954, -0.2559320107847452, -0.11933703236281872, -0.22427385173738001, 0.08519182950258256, -0.1166064903140068, -0.34116434037685395, 0.4147468891739845, 0.22348850660026073, 0.08816273465752601, 0.04932584386318922, 0.3102139909565449, 0.23292465336620807, -0.06894250076264143, 0.13991069704294204, 0.15820759704336523, 0.2469412662833929, 0.17572708981111645, -0.3582351427897811, 0.04579021016135812, 0.24364858418703078] |
711.0598 | Multidimensional decay in van der Corput lemma | In this paper we present a multidimensional version of the van der Corput
lemma where the decay of the oscillatory integral is gained with respect to all
space variables, connecting the standard one-dimensional van der Corput lemma
with the stationary phase method.
| math.AP math.FA | in this paper we present a multidimensional version of the van der corput lemma where the decay of the oscillatory integral is gained with respect to all space variables connecting the standard onedimensional van der corput lemma with the stationary phase method | [['in', 'this', 'paper', 'we', 'present', 'a', 'multidimensional', 'version', 'of', 'the', 'van', 'der', 'corput', 'lemma', 'where', 'the', 'decay', 'of', 'the', 'oscillatory', 'integral', 'is', 'gained', 'with', 'respect', 'to', 'all', 'space', 'variables', 'connecting', 'the', 'standard', 'onedimensional', 'van', 'der', 'corput', 'lemma', 'with', 'the', 'stationary', 'phase', 'method']] | [-0.14536589603605016, 0.049580342535461695, -0.12238439403119541, 0.017262317129366454, -0.056942110504245476, -0.1365392961472805, 0.05141676378913135, 0.24146841253553117, -0.32039008520188783, -0.18891159347064482, 0.018509708059441653, -0.3102974485095945, -0.21292401038642442, 0.24124460472237497, -0.06966325310280636, 0.06719620982628494, 0.07873509904103619, -0.057342451597963064, -0.046671352947929075, -0.2849636280554391, 0.36231751935113043, 0.008043440790580851, 0.1905799471063628, 0.007987737079106626, 0.06577312782229412, 0.11891696862654672, -0.013787433945773435, -0.01176478510924859, -0.26060382693651174, 0.18375447434594944, 0.22351542443391823, -0.04554821972158693, 0.3771904727355355, -0.3841839832298103, -0.11941546303707928, 0.14861495888215445, 0.1079699766733462, 0.15033381252682634, -0.006523958651260251, -0.34517170542052816, 0.02775060777951564, -0.1862227970046834, -0.15181849271591222, -0.052407611649306046, 0.0054862540259602525, 0.1701478420180224, -0.25926542339757797, 0.1498080735715727, 0.14919581779811, 0.005346087982789392, -0.046447841672315485, -0.08053145748341367, 0.024269638383494958, 0.06451753454859413, -0.02308164597378068, 0.05778056486243648, 0.05726624006361124, -0.03253581077193043, -0.07253145450903546, 0.333192086512489, -0.09039925610912698, -0.1545226769300089, 0.17755639055255978, -0.0684993821639745, -0.1396186451782428, 0.09242483086529232, 0.07808870449662209, 0.052643913376544206, -0.14299833346601754, 0.17340408143631758, -0.02173536199898947, 0.13900471460337507, 0.20083714631341754, 0.012136826801690318, 0.13395804585888982, 0.11168449103743547, 0.06793819676109013, 0.1947425656198036, -0.05014652324219545, -0.15172741529975264, -0.2876065870126088, -0.23037953528442554, -0.2245502461474167, 0.05938443047038856, -0.09593007409767736, -0.3451768545256484, 0.3492098247432815, 0.08805090517160438, 0.1474112868309021, 0.06923051967862107, 0.25842420179175124, 0.14808073081076145, -1.2810297665141878e-05, 0.019784059187042572, 0.20200844747679575, 0.18065554089844227, 0.14504046842921525, -0.1497702932628315, 0.003976920242643072, 0.24559823003420161] |
711.0599 | Regularization of the Singular Inverse Square Potential in Quantum
Mechanics with a Minimal length | We study the problem of the attractive inverse square potential in quantum
mechanics with a generalized uncertainty relation. Using the momentum
representation, we show that this potential is regular in this framework. We
solve analytically the s-wave bound states equation in terms of Heun's
functions. We discuss in detail the bound states spectrum for a specific form
of the generalized uncertainty relation. The minimal length may be interpreted
as characterizing the dimension of the system.
| quant-ph gr-qc hep-th math-ph math.MP | we study the problem of the attractive inverse square potential in quantum mechanics with a generalized uncertainty relation using the momentum representation we show that this potential is regular in this framework we solve analytically the swave bound states equation in terms of heuns functions we discuss in detail the bound states spectrum for a specific form of the generalized uncertainty relation the minimal length may be interpreted as characterizing the dimension of the system | [['we', 'study', 'the', 'problem', 'of', 'the', 'attractive', 'inverse', 'square', 'potential', 'in', 'quantum', 'mechanics', 'with', 'a', 'generalized', 'uncertainty', 'relation', 'using', 'the', 'momentum', 'representation', 'we', 'show', 'that', 'this', 'potential', 'is', 'regular', 'in', 'this', 'framework', 'we', 'solve', 'analytically', 'the', 'swave', 'bound', 'states', 'equation', 'in', 'terms', 'of', 'heuns', 'functions', 'we', 'discuss', 'in', 'detail', 'the', 'bound', 'states', 'spectrum', 'for', 'a', 'specific', 'form', 'of', 'the', 'generalized', 'uncertainty', 'relation', 'the', 'minimal', 'length', 'may', 'be', 'interpreted', 'as', 'characterizing', 'the', 'dimension', 'of', 'the', 'system']] | [-0.1465876946846644, 0.10257761798799038, -0.09219967816025018, 0.1430678478302434, -0.03622474602734049, -0.10015177115797996, 0.02510030141410728, 0.2971116836927831, -0.31194424092769624, -0.26166364529480535, 0.061969910158465306, -0.27000389341730624, -0.19711673801143964, 0.16975204221904278, -0.026285891657074293, 0.08558294930805763, 0.03800666760963698, 0.07214057231632372, -0.11494354426550368, -0.19059248841057222, 0.36438980917135877, 0.01384397470857948, 0.2623004514724016, 0.10636384366390605, 0.08420581043387453, 0.03668626450933516, 0.0465577104439338, 0.023356793181349835, -0.1662394003761195, 0.14104692956122258, 0.22565977020499606, 0.09383750020526349, 0.22499685781697432, -0.37313197520871955, -0.2227051388223966, 0.140585245868812, 0.16593606370811662, 0.1228619083451728, -0.0031368924925724664, -0.2705999823162953, 0.037617331103732186, -0.21119298910101256, -0.20694190056373676, -0.0593516772116224, 0.028470515590161085, -0.012448695134371518, -0.21934437329570453, 0.13693667106330396, 0.0655493727264305, 0.009105535919467608, -0.10477818465481202, -0.10406884337309748, 0.04300862341498335, 0.07086138322794189, -0.004476603041257477, -0.008822684080029527, 0.04225864460070928, -0.1506950026191771, -0.11148410302897295, 0.37450692942366004, -0.0771756537227581, -0.2859649475912253, 0.08687530597050985, -0.12583250795801482, -0.10894473314285279, 0.0217528071689109, 0.19177429335812726, 0.09994137513140837, -0.16178945378710827, 0.14021514376004537, -0.08212064178660512, 0.1388863888817529, 0.05455105227728685, 0.062481202489386004, 0.17273006059229373, 0.1475672114888827, 0.03502407027408481, 0.2226808522998666, -0.05016233551005522, -0.1317044707760215, -0.35104084827005866, -0.18602164900085577, -0.194468320372204, 0.04310809052859743, -0.08527215878789624, -0.13705694613357386, 0.3969356230491151, 0.12072050561371725, 0.19470213774591685, 0.05693463690578938, 0.25058743168910347, 0.23421799750222513, 0.04588017344241962, 0.06436867155134678, 0.23566199771439036, 0.14894780004552255, 0.019113454073667525, -0.26350311741853755, 0.00755059525060157, 0.10133685464660326] |
711.06 | The integral logarithm in Iwasawa theory: an exercise | Let $l$ be an odd prime number and $H$ a finite abelian $l$-group. We
determine the unit group of $\Lambda_\wedge[H]$ (the completion of the
localization at $l$ of $\Bbb{Z}_l[[T]][H]$) as well as the kernel and cokernel
of the integral logarithm $L:\Lambda_\wedge[H]^\times\to \Lambda_\wedge[H]$,
which appears in non-commutative Iwasawa theory.
| math.NT | let l be an odd prime number and h a finite abelian lgroup we determine the unit group of lambda_wedgeh the completion of the localization at l of bbbz_lth as well as the kernel and cokernel of the integral logarithm llambda_wedgehtimesto lambda_wedgeh which appears in noncommutative iwasawa theory | [['let', 'l', 'be', 'an', 'odd', 'prime', 'number', 'and', 'h', 'a', 'finite', 'abelian', 'lgroup', 'we', 'determine', 'the', 'unit', 'group', 'of', 'lambda_wedgeh', 'the', 'completion', 'of', 'the', 'localization', 'at', 'l', 'of', 'bbbz_lth', 'as', 'well', 'as', 'the', 'kernel', 'and', 'cokernel', 'of', 'the', 'integral', 'logarithm', 'llambda_wedgehtimesto', 'lambda_wedgeh', 'which', 'appears', 'in', 'noncommutative', 'iwasawa', 'theory']] | [-0.19149399907539852, 0.11319346750579742, -0.1022572642171078, 0.06479820219630544, -0.09118640801700001, -0.1300112396129407, -0.041408478068082004, 0.28537817587229336, -0.3480638286776163, -0.2674963357011703, 0.11391504341471856, -0.22766532621939073, -0.09862992675466971, 0.163196019299159, -0.09335768771019172, -0.027061244171239774, -0.04157750638709827, 0.20280835845253684, -0.06100658100331202, -0.27928882143036887, 0.3305063802770085, 0.027029789560897785, 0.16796265236652372, 0.05767473036592657, 0.0818556642837145, 0.09327088155127554, -0.055985399331389504, -0.034101449529936705, -0.108816914239221, 0.08259450559588996, 0.3209542805667628, 0.01012289079583504, 0.2643008828163147, -0.33068694644184277, -0.13329666870942508, 0.21217448845378717, 0.17020984455435115, -0.09090998600268821, 0.0504159597595307, -0.22615505154085855, 0.11866143980825489, -0.20843496596948666, -0.16081973488061604, -0.030159471248639005, 0.11077857527627864, -0.006837109765249558, -0.2857450074092908, -0.039457858037415215, 0.06446486068307422, 0.1387342140290209, -0.046212333349765024, -0.1391678465614942, -0.019353086991362612, 0.0907258084678853, 0.005544627931984988, 0.08229926904790442, 0.09206217584538866, -0.10587547179734842, -0.10419297813099217, 0.39648635329847987, -0.12091303442139179, -0.15742671576497907, 0.08735933453267948, -0.20892277122898537, -0.1274174158461392, 0.11747185090048747, 0.06924324463629587, 0.1565321332765796, 0.040237773188643834, 0.2614602470024362, -0.1553113688291474, 0.05640031266110865, 0.038873803463171826, 0.01784747272243046, 0.1120810628741641, 0.07243342464260588, 0.08815471643835983, 0.1546483075177424, -0.06401829810982401, 0.031440663151443005, -0.4463646019046957, -0.2088032870299437, -0.22093851330944084, 0.1722036159533838, -0.13584194313245296, -0.20140736082314767, 0.3569934180599045, 0.030479748765091328, 0.2116105089133436, 0.10731762681759639, 0.20188159749589182, 0.12799161981092766, 0.10993385110685433, 0.04499643105637832, 0.01976897194981575, 0.2851056840948083, -0.0670899886383929, -0.2609776545908641, -0.06517651482400569, 0.23964830168353563] |
711.0601 | Searching for p-modes in MOST Procyon data: Another view | Photometry of Procyon obtained by the MOST satellite in 2004 has been
searched for p modes by several groups, with sometimes contradictory
interpretations. We explore two possible factors that complicate the analysis
and may lead to erroneous reports of p modes in these data. Two methods are
used to illustrate the role of subtle instrumental effects in the photometry:
time-frequency analysis, and a search for regularly spaced peaks in a Fourier
spectrum based on the echelle diagramme approach. We find no convincing
evidence of a p-mode signal in the MOST Procyon data. We can account for an
apparent excess of power close to the p-mode frequency range and signs of
structure in an echelle diagramme in terms of instrumental effects.
| astro-ph | photometry of procyon obtained by the most satellite in 2004 has been searched for p modes by several groups with sometimes contradictory interpretations we explore two possible factors that complicate the analysis and may lead to erroneous reports of p modes in these data two methods are used to illustrate the role of subtle instrumental effects in the photometry timefrequency analysis and a search for regularly spaced peaks in a fourier spectrum based on the echelle diagramme approach we find no convincing evidence of a pmode signal in the most procyon data we can account for an apparent excess of power close to the pmode frequency range and signs of structure in an echelle diagramme in terms of instrumental effects | [['photometry', 'of', 'procyon', 'obtained', 'by', 'the', 'most', 'satellite', 'in', '2004', 'has', 'been', 'searched', 'for', 'p', 'modes', 'by', 'several', 'groups', 'with', 'sometimes', 'contradictory', 'interpretations', 'we', 'explore', 'two', 'possible', 'factors', 'that', 'complicate', 'the', 'analysis', 'and', 'may', 'lead', 'to', 'erroneous', 'reports', 'of', 'p', 'modes', 'in', 'these', 'data', 'two', 'methods', 'are', 'used', 'to', 'illustrate', 'the', 'role', 'of', 'subtle', 'instrumental', 'effects', 'in', 'the', 'photometry', 'timefrequency', 'analysis', 'and', 'a', 'search', 'for', 'regularly', 'spaced', 'peaks', 'in', 'a', 'fourier', 'spectrum', 'based', 'on', 'the', 'echelle', 'diagramme', 'approach', 'we', 'find', 'no', 'convincing', 'evidence', 'of', 'a', 'pmode', 'signal', 'in', 'the', 'most', 'procyon', 'data', 'we', 'can', 'account', 'for', 'an', 'apparent', 'excess', 'of', 'power', 'close', 'to', 'the', 'pmode', 'frequency', 'range', 'and', 'signs', 'of', 'structure', 'in', 'an', 'echelle', 'diagramme', 'in', 'terms', 'of', 'instrumental', 'effects']] | [-0.11083298649949332, 0.08418019707532949, -0.1421717768146967, 0.08562440923027073, -0.08749952097035324, -0.08794787425431423, 0.05520685085793957, 0.40184329940627017, -0.17725697807618418, -0.34627954866737126, 0.09164585305164413, -0.3031515306249882, -0.13734536938233458, 0.2507759651460219, -0.08021923588433613, 0.03338363265890318, 0.08317124885118878, -0.018455348012503238, -0.02669485491399731, -0.18676994725246915, 0.2700001848192187, 0.06882395067756684, 0.22603745614178478, -0.00507288653558741, -0.010079126252094284, -0.032047574255193466, -0.13701833171459535, -0.012431204760893403, -0.10947408509897892, 0.05994408989790827, 0.2859298783742512, 0.11207012218461992, 0.2561604544927832, -0.41593524744578947, -0.19256991830698098, 0.10414955528685824, 0.17490488005181154, 0.0548241140631338, -0.04753351878316607, -0.26401174408383665, 0.047030040194901326, -0.12814094071121265, -0.11475494059171372, -0.07349890241554628, 0.05498988976081212, -0.017093925286705294, -0.2703515674749118, 0.08807571086799726, 0.048063765656358254, 0.1412783263095965, -0.1011739204560096, -0.1645740850372628, -0.013867994289224346, 0.11992701244695733, 0.08479575898187856, -0.03231585832181736, 0.03387178343061047, -0.08697034334860897, -0.12453429452143609, 0.37445287701363367, -0.09691832413276037, -0.0980557960884956, 0.17380370239455564, -0.19744697842979803, -0.17272608377582704, 0.14939591608320674, 0.17715658502808462, 0.07365939528681338, -0.1433780625729317, 0.010535893690636537, 0.00624554828973487, 0.2082419912524832, 0.09348490569585313, 0.07783458582125605, 0.23784434699142973, 0.09380178779441242, -0.006535673871015509, 0.08882831844966858, -0.2044928593580456, -0.002582164112148651, -0.24551372933298504, -0.08180202385604692, -0.11658960915762388, -0.026876980118686333, -0.09163975403995815, -0.1311586292402353, 0.41517612220098576, 0.15423961916724996, 0.2175190619037797, -0.03383935999978955, 0.2909045363000284, 0.1006910325299638, 0.07569671603074918, 0.023218397598247974, 0.2837183302035555, 0.1153548641790015, 0.08056142412824556, -0.2304882906920587, 0.04762862830345208, -0.009708161621044079] |
711.0602 | Hydrogen deficient donors in low-mass X-ray binaries | A number of X-ray binaries (neutron stars or black holes accreting from a
companion star) have such short orbital periods that ordinary, hydrogen rich,
stars do not fit in. Instead the mass-losing star must be a compact, evolved
star, leading to the transfer of hydrogen deficient material to the neutron
star. I discuss the current knowledge of these objects, with focus on optical
spectroscopy.
| astro-ph | a number of xray binaries neutron stars or black holes accreting from a companion star have such short orbital periods that ordinary hydrogen rich stars do not fit in instead the masslosing star must be a compact evolved star leading to the transfer of hydrogen deficient material to the neutron star i discuss the current knowledge of these objects with focus on optical spectroscopy | [['a', 'number', 'of', 'xray', 'binaries', 'neutron', 'stars', 'or', 'black', 'holes', 'accreting', 'from', 'a', 'companion', 'star', 'have', 'such', 'short', 'orbital', 'periods', 'that', 'ordinary', 'hydrogen', 'rich', 'stars', 'do', 'not', 'fit', 'in', 'instead', 'the', 'masslosing', 'star', 'must', 'be', 'a', 'compact', 'evolved', 'star', 'leading', 'to', 'the', 'transfer', 'of', 'hydrogen', 'deficient', 'material', 'to', 'the', 'neutron', 'star', 'i', 'discuss', 'the', 'current', 'knowledge', 'of', 'these', 'objects', 'with', 'focus', 'on', 'optical', 'spectroscopy']] | [-0.07463431403812137, 0.16485791966260877, -0.0633309799595736, 0.12341217484208755, -0.19892465390148573, -0.06478170409536688, 0.10081311076646671, 0.4121604611282237, -0.15598770820361096, -0.33492364444828127, 0.06594130202029191, -0.33587807098456324, 8.780147982179187e-05, 0.19937701079288672, -0.07344466100767022, -0.04863014174043201, 0.15530924496124499, 0.030678108931169845, -0.10550054914710927, -0.2548730892194726, 0.3858275826787576, -0.00789176188845886, 0.0530338376556756, -0.08918489156349096, 0.007421787522616796, -0.08207948899143958, -0.04056804178253515, -0.06749263312667608, -0.13654090704642385, 0.06128665459982585, 0.28405371487679076, 0.15450121586763998, 0.15412695194390835, -0.4346339561743662, -0.25380616160691716, 0.03301636647665873, 0.17114557661989238, 0.07893039828923065, -0.13278248741880816, -0.19310585827042814, 0.07286232852493413, -0.301966515253298, -0.14726357474864926, 0.0057092599890893325, 0.08040854905266315, 0.1071520947443787, -0.18108129485335667, 0.04691575160904904, 0.11110353292315267, 0.021675281992429518, -0.1453951144067105, -0.08941577842051629, -0.06409985888603842, 0.058673951414675685, 0.021079210382595193, 0.08415826474083588, 0.17800932403770275, -0.15092824146267958, -0.011617571399256121, 0.39056364429416135, -0.06913959358462307, -0.012249219042132609, 0.24720069993054494, -0.2664628401689697, -0.19466447365266504, 0.16616562046692707, 0.14202246820786968, 0.24327320522479567, -0.18587679392658174, -0.05472818384623679, 0.025042877794476226, 0.23407433123793453, 0.07979224460723344, 0.10864426487387391, 0.49104577663820237, 0.1484420985525503, -0.04827400630165357, 0.06783817975338025, -0.2136033734313969, -0.01522436467348598, -0.13626041343377437, -0.09969004365848377, -0.1435774810888688, 0.16681234796146782, -0.09130462461325806, -0.16612341142899822, 0.2643395940758637, 0.01321846513019409, 0.17938134996802546, -0.06486529725953005, 0.28964947337527747, 0.07952393858795404, 0.09907758724875748, 0.10353711704374291, 0.32620188646251336, 0.21093494199158158, 0.1187165640949388, -0.2945387797190051, 0.08165600510983495, 0.0019063980580540374] |
711.0603 | Randomness and Complexity in Networks | I start by reviewing some basic properties of random graphs. I then consider
the role of random walks in complex networks and show how they may be used to
explain why so many long tailed distributions are found in real data sets. The
key idea is that in many cases the process involves copying of properties of
near neighbours in the network and this is a type of short random walk which in
turn produce a natural preferential attachment mechanism. Applying this to
networks of fixed size I show that copying and innovation are processes with
special mathematical properties which include the ability to solve a simple
model exactly for any parameter values and at any time. I finish by looking at
variations of this basic model.
| cond-mat.stat-mech | i start by reviewing some basic properties of random graphs i then consider the role of random walks in complex networks and show how they may be used to explain why so many long tailed distributions are found in real data sets the key idea is that in many cases the process involves copying of properties of near neighbours in the network and this is a type of short random walk which in turn produce a natural preferential attachment mechanism applying this to networks of fixed size i show that copying and innovation are processes with special mathematical properties which include the ability to solve a simple model exactly for any parameter values and at any time i finish by looking at variations of this basic model | [['i', 'start', 'by', 'reviewing', 'some', 'basic', 'properties', 'of', 'random', 'graphs', 'i', 'then', 'consider', 'the', 'role', 'of', 'random', 'walks', 'in', 'complex', 'networks', 'and', 'show', 'how', 'they', 'may', 'be', 'used', 'to', 'explain', 'why', 'so', 'many', 'long', 'tailed', 'distributions', 'are', 'found', 'in', 'real', 'data', 'sets', 'the', 'key', 'idea', 'is', 'that', 'in', 'many', 'cases', 'the', 'process', 'involves', 'copying', 'of', 'properties', 'of', 'near', 'neighbours', 'in', 'the', 'network', 'and', 'this', 'is', 'a', 'type', 'of', 'short', 'random', 'walk', 'which', 'in', 'turn', 'produce', 'a', 'natural', 'preferential', 'attachment', 'mechanism', 'applying', 'this', 'to', 'networks', 'of', 'fixed', 'size', 'i', 'show', 'that', 'copying', 'and', 'innovation', 'are', 'processes', 'with', 'special', 'mathematical', 'properties', 'which', 'include', 'the', 'ability', 'to', 'solve', 'a', 'simple', 'model', 'exactly', 'for', 'any', 'parameter', 'values', 'and', 'at', 'any', 'time', 'i', 'finish', 'by', 'looking', 'at', 'variations', 'of', 'this', 'basic', 'model']] | [-0.06289737975943512, 0.14223237925275103, -0.06690105243666669, 0.08930279400094981, -0.06936258371134736, -0.17365239157642084, 0.04265197536240765, 0.404947548026703, -0.31229141940487415, -0.25860507635575697, 0.099560516548167, -0.24177466497910538, -0.20086618344204163, 0.15598258012759053, -0.08633981251311819, 0.0008747663861553104, 0.045564644244008176, 0.03466268028242616, 0.011121972536440851, -0.27289074460066504, 0.33462714914261826, 0.04639841584620748, 0.24419119987842136, 0.0215041729379592, 0.07087274931103549, 0.005987594648462346, -0.040623626081404955, 0.026682226561242143, -0.08915888779765951, 0.08913944032149551, 0.21776223131712144, 0.14650372527979724, 0.3059553469780569, -0.4548536417639162, -0.2454217485093519, 0.14267141154167925, 0.13860455951030096, 0.12462061114460743, -0.03476082357599979, -0.2268404680667225, 0.10064679644378562, -0.12490693901071516, -0.1438520136949291, -0.05629605356618527, 0.056708080844410994, 0.09275948751981802, -0.24449955369895837, 0.011735856198471069, 0.11854565465881482, 0.03588447219684837, 0.020002633087542347, -0.0979470346621641, 0.015305545008704654, 0.14921940286739135, 0.037453183670313736, -0.01879955882822552, 0.105030224471551, -0.14058085446847296, -0.16214857132020077, 0.4035547934472561, -0.012557173116631277, -0.20102348020226937, 0.1877714152627544, -0.1284566890983659, -0.2032578746736871, 0.08769068746794544, 0.18165449775374076, 0.09987319623098129, -0.1708554529812275, 0.06299203767543879, -0.02725753835109099, 0.10215701655976063, 0.04046775193107644, 0.018985296643566428, 0.1935392153268546, 0.15041221964253684, 0.02626845715970798, 0.11577954314792104, -0.03232371147839338, -0.11973891819013267, -0.3039386981537228, -0.12709329212744405, -0.19469553561089195, 0.05281040062541215, -0.11366700426094219, -0.16230799035557847, 0.4059933312420594, 0.19205863970995507, 0.28079146233673286, 0.06817532121570502, 0.23698383053823366, 0.0807217565020473, 0.05841311047405488, 0.08863982553483815, 0.16110484856918755, 0.09108136714927441, 0.09058272228466244, -0.12861791474279016, 0.1297163275789147, 0.04825241510264986] |
711.0604 | Equivariant Iwasawa theory: an example | The equivariant `main conjecture' of Iwasawa theory is shown to hold for a
Galois extension $K/k$ of number fields with Galois group an $l$-adic pro-$l$
Lie group of dimension 1 containing an abelian subgroup of index $l$, provided
that Iwasawa's $\mu$-invariant $\mu(K/k)$ vanishes.
| math.NT | the equivariant main conjecture of iwasawa theory is shown to hold for a galois extension kk of number fields with galois group an ladic prol lie group of dimension 1 containing an abelian subgroup of index l provided that iwasawas muinvariant mukk vanishes | [['the', 'equivariant', 'main', 'conjecture', 'of', 'iwasawa', 'theory', 'is', 'shown', 'to', 'hold', 'for', 'a', 'galois', 'extension', 'kk', 'of', 'number', 'fields', 'with', 'galois', 'group', 'an', 'ladic', 'prol', 'lie', 'group', 'of', 'dimension', '1', 'containing', 'an', 'abelian', 'subgroup', 'of', 'index', 'l', 'provided', 'that', 'iwasawas', 'muinvariant', 'mukk', 'vanishes']] | [-0.3040435352623241, 0.09571742249855084, -0.17122873557465418, 0.05964238924207166, -0.16657481918532757, -0.15402801675234168, -0.08837137902654442, 0.2528906159901193, -0.3264148148841092, -0.23630793290656238, 0.05184781147787968, -0.1913038614771462, -0.08899866854993715, 0.22911234572529793, -0.2080756883702374, -0.06775976383470975, -0.059657565250139065, 0.23260719087418347, 0.002151255085620852, -0.3598027579739989, 0.4077941695605183, -0.07439085384387345, 0.2113280867093376, 0.01511126495010796, 0.07393464137844387, 0.050654469756409526, 0.0014936382926645734, -0.10583454428151959, -0.09689687760744294, 0.09835158851707265, 0.38726849765295074, -0.022282097593969888, 0.1994166687973553, -0.30695868871130405, -0.11648147528813708, 0.263594086137822, 0.12055301761609458, -0.04772589477666077, -0.06541084844086852, -0.26852323750167023, 0.19039708941376635, -0.2081013558643116, -0.2545544673644361, -0.03612305070938809, 0.13925997044758073, -0.0874365439993285, -0.25975735538772177, -0.0047524770987885335, 0.08841137522886995, 0.2759206871989937, -0.07315437684190415, -0.18400298757478595, -0.06638673493372542, 0.05422763872082301, 0.08361371089371719, 0.06782796676547843, 0.1229137075798852, -0.0936972051415415, -0.1388916392766294, 0.3556394536558184, -0.09961230969721717, -0.14307845206487746, 0.0744344136480885, -0.16898829141809119, -0.22333743168218506, 0.15485724480822682, -0.007771128566846961, 0.13361860545618193, 0.11000291621755987, 0.2859928386973306, -0.23629856063053012, 0.13748499000489356, 0.0732979493526121, -0.04038132668384129, 0.057798176272107024, 0.04686198710364157, 0.08593698568819534, 0.06242273600461582, 0.048682328003148236, 0.0594158706122211, -0.43386890845639364, -0.24379561573178285, -0.10035182477995044, 0.17620271745891797, -0.11889331042766571, -0.1627608494011275, 0.34508603904396296, 0.09259567955242735, 0.07776447558509451, 0.21000166669754045, 0.15871258598885365, 0.03918550134680811, 0.09190420534772177, 0.0838693002837577, 0.07169392345739263, 0.4148934661809887, -0.17967506914976097, -0.15954445782561033, -0.18370241558711445, 0.2810766070282885] |
711.0605 | An open problem in complex analytic geometry arising in harmonic
analysis | In this paper, an open problem in the multidimensional complex analysis is
pesented that arises in the investigation of the regularity properties of
Fourier integral operators and in the regularity theory for hyperbolic partial
differential equations. The problem is discussed in a self-contained elementary
way and some results towards its resolution are presented. A conjecture
concerning the structure of appearing affine fibrations is formulated.
| math.AP math.CV | in this paper an open problem in the multidimensional complex analysis is pesented that arises in the investigation of the regularity properties of fourier integral operators and in the regularity theory for hyperbolic partial differential equations the problem is discussed in a selfcontained elementary way and some results towards its resolution are presented a conjecture concerning the structure of appearing affine fibrations is formulated | [['in', 'this', 'paper', 'an', 'open', 'problem', 'in', 'the', 'multidimensional', 'complex', 'analysis', 'is', 'pesented', 'that', 'arises', 'in', 'the', 'investigation', 'of', 'the', 'regularity', 'properties', 'of', 'fourier', 'integral', 'operators', 'and', 'in', 'the', 'regularity', 'theory', 'for', 'hyperbolic', 'partial', 'differential', 'equations', 'the', 'problem', 'is', 'discussed', 'in', 'a', 'selfcontained', 'elementary', 'way', 'and', 'some', 'results', 'towards', 'its', 'resolution', 'are', 'presented', 'a', 'conjecture', 'concerning', 'the', 'structure', 'of', 'appearing', 'affine', 'fibrations', 'is', 'formulated']] | [-0.17882384156571732, 0.032135885654410924, -0.10189322172294533, 0.09727851823637527, -0.10045162615336714, -0.05806424046703984, -0.04679199285243475, 0.3105285997310328, -0.3361562324303483, -0.22543090082231967, 0.1653568433460942, -0.26914465452160036, -0.18626385279062632, 0.2106896879092332, -0.13931515350068077, 0.07220275113118872, 0.05790061091205904, 0.026444438674915877, -0.08379954279636935, -0.2356342291570313, 0.3707029986313529, -0.006381509411666129, 0.2079240998644973, 0.0967840671480175, 0.10808974704039949, 0.02816012664328492, -0.10034027411824181, 0.006871864798345736, -0.15972829280138875, 0.17504327088993574, 0.30672345408016727, 0.08560000863369732, 0.2577992352335492, -0.40694442246523166, -0.1905532696188265, 0.034465608053973744, 0.140883697736417, 0.0694382804785929, -0.07840330229096469, -0.25411143919659984, 0.07155336531263495, -0.07155603547358796, -0.24809443567776018, -0.0462227946679507, 0.003537937643982115, 0.004206326731022388, -0.21804437768324056, 0.0842014167029115, 0.1287224716285155, 0.09382603109429871, -0.12231269308979371, -0.0701321457320499, 0.017419494304155545, 0.06826880250480913, 0.031439522532598366, 0.005724292215225952, 0.018747258031489477, -0.15132295230167017, -0.11626428699800892, 0.3887230533337782, -0.01405255505002089, -0.2725540711766198, 0.12072831089238799, -0.13157988163746065, -0.201974161819274, 0.12113351820568953, 0.13320197651369703, 0.15961144418115653, -0.13984093812224085, 0.19518052175870196, -0.13181824432242484, 0.08866957523896994, 0.07095701611852126, 0.04852575305405827, 0.09035315572298945, 0.1728748773180303, 0.08832317391144377, 0.14362163026077998, 0.035382386747865924, -0.12536093849866164, -0.359077593518628, -0.19521661522606062, -0.1008438557415964, 0.09888791724751216, -0.053014055025645546, -0.18225262589043095, 0.39332318855893045, 0.09894349996650977, 0.1823071562758987, 0.03543404068443037, 0.2639816270342895, 0.17250690295542073, -0.015331221101362081, 0.010768357154336713, 0.1700101816414168, 0.233076008568917, 0.12600105572196227, -0.17400644395116066, 0.00673277157964924, 0.1528730567005123] |
711.0606 | Quantum computing with a single molecular ensemble and a Cooper pair box | We propose to encode quantum information in rotational excitations in a
molecular ensemble. Using a stripline cavity field for quantum state transfer
between the molecular ensemble and a Cooper pair box two-level system, our
proposal offers a linear scaling of the number of qubits in our register with
the number of rotationally excited states available in the molecules.
| quant-ph | we propose to encode quantum information in rotational excitations in a molecular ensemble using a stripline cavity field for quantum state transfer between the molecular ensemble and a cooper pair box twolevel system our proposal offers a linear scaling of the number of qubits in our register with the number of rotationally excited states available in the molecules | [['we', 'propose', 'to', 'encode', 'quantum', 'information', 'in', 'rotational', 'excitations', 'in', 'a', 'molecular', 'ensemble', 'using', 'a', 'stripline', 'cavity', 'field', 'for', 'quantum', 'state', 'transfer', 'between', 'the', 'molecular', 'ensemble', 'and', 'a', 'cooper', 'pair', 'box', 'twolevel', 'system', 'our', 'proposal', 'offers', 'a', 'linear', 'scaling', 'of', 'the', 'number', 'of', 'qubits', 'in', 'our', 'register', 'with', 'the', 'number', 'of', 'rotationally', 'excited', 'states', 'available', 'in', 'the', 'molecules']] | [-0.17656020637489214, 0.1839770394345296, -0.04683269305026223, -0.0010372849887815014, 0.05122646589458374, -0.17015709907844148, 0.08656800828336192, 0.3718125594073328, -0.21032592634959468, -0.301994326693038, -0.05389648439876478, -0.2829074792820832, -0.03977004631326116, 0.154337216529931, 0.037911105178425025, 0.10273003501111064, 0.06403607716141589, 0.030752540706528414, -0.007946122903376818, -0.17589529258488068, 0.3281398461971047, 0.02756628753408661, 0.2903154528346555, -0.01743439286304959, 0.11875804390051756, 0.0005838215905081095, 0.0850711805055496, -0.05922340418228173, -0.06510655749749777, 0.16993944164955635, 0.2735309169952886, 0.09248258028950157, 0.25754718676787514, -0.4675157017492015, -0.1900050449666792, 0.03897271499615805, 0.15860536965091937, 0.26602872213396916, -0.05421208127819259, -0.3016055665653327, -0.023849730219306618, -0.19880558148925676, -0.0889063959716466, -0.10460644363875277, -0.0030474297377152434, 0.00045899594009950244, -0.2544136926740536, 0.05657018014583094, 0.05469786355287993, 0.072206843949469, 0.006710816495891275, -0.04179499162449341, 0.006592674092550216, 0.10020365396209446, -0.1064467846640739, 0.037598353583799225, 0.19447945164323882, -0.11925008375968399, -0.1435049162085714, 0.33843003337849575, -0.09618075026584597, -0.22481111184982905, 0.17607583609762892, -0.11614512978121638, -0.08313682636422716, 0.10532193743334763, 0.13839235810807843, 0.09793024657872217, -0.11738248350869479, 0.030393501871128985, -0.06595036848287644, 0.2518770833146469, 0.015489264327133524, 0.1339872578351662, 0.2642607465065245, 0.14365912296263308, 0.015235826742417854, 0.2396063161371597, -0.14567267119980834, -0.18906701336100953, -0.2625971869404974, -0.20791357983273037, -0.2635453627926522, 0.07809869159848012, -0.01682929823085754, -0.1475276744378538, 0.39094020631806603, 0.1251468509776871, 0.20125678683438436, -0.006346644271678966, 0.27509362588170916, 0.06488306690730027, 0.07183418093763035, 0.09616800277204864, 0.20666160350986595, 0.18948104910167127, 0.04715838890265802, -0.35023438230413817, -0.05399055585489962, 0.025379209620637243] |
711.0607 | Exploring the Composition of Unit Test Suites | In agile software development, test code can considerably contribute to the
overall source code size. Being a valuable asset both in terms of verification
and documentation, the composition of a test suite needs to be well understood
in order to identify opportunities as well as weaknesses for further evolution.
In this paper, we argue that the visualization of structural characteristics is
a viable means to support the exploration of test suites. Thanks to general
agreement on a limited set of key test design principles, such visualizations
are relatively easy to interpret. In particular, we present visualizations that
support testers in (i) locating test cases; (ii) examining the relation between
test code and production code; and (iii) studying the composition of and
dependencies within test cases. By means of two case studies, we demonstrate
how visual patterns help to identify key test suite characteristics. This
approach forms the first step in assisting a developer to build up
understanding about test suites beyond code reading.
| cs.SE | in agile software development test code can considerably contribute to the overall source code size being a valuable asset both in terms of verification and documentation the composition of a test suite needs to be well understood in order to identify opportunities as well as weaknesses for further evolution in this paper we argue that the visualization of structural characteristics is a viable means to support the exploration of test suites thanks to general agreement on a limited set of key test design principles such visualizations are relatively easy to interpret in particular we present visualizations that support testers in i locating test cases ii examining the relation between test code and production code and iii studying the composition of and dependencies within test cases by means of two case studies we demonstrate how visual patterns help to identify key test suite characteristics this approach forms the first step in assisting a developer to build up understanding about test suites beyond code reading | [['in', 'agile', 'software', 'development', 'test', 'code', 'can', 'considerably', 'contribute', 'to', 'the', 'overall', 'source', 'code', 'size', 'being', 'a', 'valuable', 'asset', 'both', 'in', 'terms', 'of', 'verification', 'and', 'documentation', 'the', 'composition', 'of', 'a', 'test', 'suite', 'needs', 'to', 'be', 'well', 'understood', 'in', 'order', 'to', 'identify', 'opportunities', 'as', 'well', 'as', 'weaknesses', 'for', 'further', 'evolution', 'in', 'this', 'paper', 'we', 'argue', 'that', 'the', 'visualization', 'of', 'structural', 'characteristics', 'is', 'a', 'viable', 'means', 'to', 'support', 'the', 'exploration', 'of', 'test', 'suites', 'thanks', 'to', 'general', 'agreement', 'on', 'a', 'limited', 'set', 'of', 'key', 'test', 'design', 'principles', 'such', 'visualizations', 'are', 'relatively', 'easy', 'to', 'interpret', 'in', 'particular', 'we', 'present', 'visualizations', 'that', 'support', 'testers', 'in', 'i', 'locating', 'test', 'cases', 'ii', 'examining', 'the', 'relation', 'between', 'test', 'code', 'and', 'production', 'code', 'and', 'iii', 'studying', 'the', 'composition', 'of', 'and', 'dependencies', 'within', 'test', 'cases', 'by', 'means', 'of', 'two', 'case', 'studies', 'we', 'demonstrate', 'how', 'visual', 'patterns', 'help', 'to', 'identify', 'key', 'test', 'suite', 'characteristics', 'this', 'approach', 'forms', 'the', 'first', 'step', 'in', 'assisting', 'a', 'developer', 'to', 'build', 'up', 'understanding', 'about', 'test', 'suites', 'beyond', 'code', 'reading']] | [-0.052453715274570385, 0.004514767395538147, -0.0699483077241782, 0.11412286080714269, -0.09591252034518616, -0.14595615901795725, 0.0529172218753242, 0.3818399941811532, -0.2410704660589344, -0.3918927964280171, 0.1013586646520127, -0.22724126998129432, -0.12760933825283374, 0.24444656668515144, -0.04863562823724619, 0.0679675838538657, 0.08910686354169998, -0.04706215073405965, -0.041651011824942095, -0.24512670237708128, 0.2974067130811695, 0.13559414651044902, 0.2811952488771154, 0.050438459654070116, 0.01697470011486689, -0.03676615286607044, -0.08857568200717629, 0.009228157909583276, -0.11375083996776128, 0.10945597922920815, 0.3053429149822589, 0.23408097316699525, 0.29769920795710264, -0.4017494309099357, -0.17483257129217036, 0.011810318798975207, 0.14723385641197073, 0.08981677769837569, -0.06470199401327552, -0.24528026960053098, 0.11023538839000568, -0.19850312397341055, -0.14377219188798424, -0.13633968327423, -0.017374066807375365, 0.02852277168604128, -0.2526959597570193, -0.030125225342073094, 0.04595576267992289, 0.10044293217160996, -0.0390846729207144, -0.05878664317692236, 0.017419387906378397, 0.20515484060303657, 0.058704386537743194, 0.01926337833590577, 0.10588469698259527, -0.13431802536275214, -0.13361548664379705, 0.424840117821847, -0.03896361134269281, -0.19034585342713933, 0.23885250380091325, -0.11256630513160004, -0.15551868379915967, 0.03136690013200628, 0.24143901150323668, 0.08953894919321581, -0.18329302088980295, 0.0240041651417347, 0.022706577334370166, 0.21532113707204423, 0.049875403940106276, -0.006335692624520422, 0.23766966779184945, 0.20355540056687213, -0.016597068110092376, 0.16969887280273907, -0.04560102269116309, -0.07411619115826543, -0.32316803584800907, -0.21486412265275154, -0.12582560027863807, 0.001850623611726461, -0.06361439284272892, -0.14472652808905928, 0.4159365733856895, 0.24800644141044811, 0.13841623907760242, 0.03392726956563859, 0.3006524859171966, -0.004676870820937432, 0.08172715833250639, 0.09125576193438717, 0.17752367879715433, 0.057968243570895465, 0.07202470038326149, -0.17873296152194676, 0.13031781306547438, 0.0023311794924041245] |
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