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709.2935 | An Extension to an Algebraic Method for Linear Time-Invariant System and
Network Theory: The full AC-Calculus | Being inspired by phasor analysis in linear circuit theory, and its algebraic
counterpart - the AC-(operational)-calculus for sinusoids developed by W.
Marten and W. Mathis - we define a complex structure on several spaces of
real-valued elementary functions. This is used to algebraize inhomogeneous
linear ordinary differential equations with inhomogenities stemming from these
spaces. Thus we deduce an effective method to calculate particular solutions of
these ODEs in a purely algebraic way.
| math.CA cs.SC | being inspired by phasor analysis in linear circuit theory and its algebraic counterpart the acoperationalcalculus for sinusoids developed by w marten and w mathis we define a complex structure on several spaces of realvalued elementary functions this is used to algebraize inhomogeneous linear ordinary differential equations with inhomogenities stemming from these spaces thus we deduce an effective method to calculate particular solutions of these odes in a purely algebraic way | [['being', 'inspired', 'by', 'phasor', 'analysis', 'in', 'linear', 'circuit', 'theory', 'and', 'its', 'algebraic', 'counterpart', 'the', 'acoperationalcalculus', 'for', 'sinusoids', 'developed', 'by', 'w', 'marten', 'and', 'w', 'mathis', 'we', 'define', 'a', 'complex', 'structure', 'on', 'several', 'spaces', 'of', 'realvalued', 'elementary', 'functions', 'this', 'is', 'used', 'to', 'algebraize', 'inhomogeneous', 'linear', 'ordinary', 'differential', 'equations', 'with', 'inhomogenities', 'stemming', 'from', 'these', 'spaces', 'thus', 'we', 'deduce', 'an', 'effective', 'method', 'to', 'calculate', 'particular', 'solutions', 'of', 'these', 'odes', 'in', 'a', 'purely', 'algebraic', 'way']] | [-0.11405011817618314, 0.0661162159341794, -0.09966854662842937, 0.09187835406289617, -0.11119931084520893, -0.12659000872926257, 0.004996896504229908, 0.314250924555001, -0.3422837548736316, -0.25666795062151415, 0.104468455923888, -0.2522480922348019, -0.20122802115841282, 0.23123514460427547, -0.05848077480305931, 0.10010165502160871, -0.015436824369452783, 0.0200546534189871, -0.10713320907983762, -0.2229132435124701, 0.3750553154247577, -0.05001148217315994, 0.20050329771657377, -0.06894278959996665, 0.14779696172909507, 0.044884479618561804, -0.08946595518978369, 0.027760892265490188, -0.13880125945955238, 0.18870323269502887, 0.29124360053396936, 0.07844625813052503, 0.21693942219422047, -0.42624265981365494, -0.19117213814839054, 0.08630146273870522, 0.11753298507641945, 0.10069990694634061, -0.020508970603531004, -0.2984407238884648, 0.08501672180397297, -0.1787598715893535, -0.15862514766683775, -0.11953825414625567, 0.03735758184191229, 0.049829567852082535, -0.2499189490231741, 0.021677077092393648, 0.05674360897878546, 0.07121174623355714, -0.0732120076044977, -0.09928299658653784, 0.003317540952824612, 0.024049255190722978, -0.019451320970625574, 0.020126754716872725, 0.09106997631267826, -0.0716685746212615, -0.13805099621192732, 0.3491711095531485, -0.10357386393667158, -0.27568448351612734, 0.16360452202663048, -0.0956743568696304, -0.11273347619754165, 0.11053805720450273, 0.17097088639666116, 0.1214445312646454, -0.15161757071158474, 0.15131778690317618, -0.02536122441125005, 0.12975143460007801, 0.04485135758990672, 0.011859711732214956, 0.1153023570164371, 0.08796252221835138, 0.04558683959628219, 0.14430428107283008, 0.04185338765591272, -0.09401342643376218, -0.29781528334341834, -0.1293632637208967, -0.11675885135530313, 0.1117071008688506, -0.08904895987040225, -0.20360617108170442, 0.3953920893037497, 0.07149579869444246, 0.18361793591904996, 0.07120848903710496, 0.2791094811035515, 0.190056685733595, 0.01521448673569222, 0.013800740061300014, 0.18465009234400828, 0.2313057463164372, 0.0976513982611472, -0.170642721956707, 0.019840135795078172, 0.15427488805865175] |
709.2936 | Bayesian Classification and Regression with High Dimensional Features | This thesis responds to the challenges of using a large number, such as
thousands, of features in regression and classification problems.
There are two situations where such high dimensional features arise. One is
when high dimensional measurements are available, for example, gene expression
data produced by microarray techniques. For computational or other reasons,
people may select only a small subset of features when modelling such data, by
looking at how relevant the features are to predicting the response, based on
some measure such as correlation with the response in the training data.
Although it is used very commonly, this procedure will make the response appear
more predictable than it actually is. In Chapter 2, we propose a Bayesian
method to avoid this selection bias, with application to naive Bayes models and
mixture models.
High dimensional features also arise when we consider high-order
interactions. The number of parameters will increase exponentially with the
order considered. In Chapter 3, we propose a method for compressing a group of
parameters into a single one, by exploiting the fact that many predictor
variables derived from high-order interactions have the same values for all the
training cases. The number of compressed parameters may have converged before
considering the highest possible order. We apply this compression method to
logistic sequence prediction models and logistic classification models.
We use both simulated data and real data to test our methods in both
chapters.
| stat.ML | this thesis responds to the challenges of using a large number such as thousands of features in regression and classification problems there are two situations where such high dimensional features arise one is when high dimensional measurements are available for example gene expression data produced by microarray techniques for computational or other reasons people may select only a small subset of features when modelling such data by looking at how relevant the features are to predicting the response based on some measure such as correlation with the response in the training data although it is used very commonly this procedure will make the response appear more predictable than it actually is in chapter 2 we propose a bayesian method to avoid this selection bias with application to naive bayes models and mixture models high dimensional features also arise when we consider highorder interactions the number of parameters will increase exponentially with the order considered in chapter 3 we propose a method for compressing a group of parameters into a single one by exploiting the fact that many predictor variables derived from highorder interactions have the same values for all the training cases the number of compressed parameters may have converged before considering the highest possible order we apply this compression method to logistic sequence prediction models and logistic classification models we use both simulated data and real data to test our methods in both chapters | [['this', 'thesis', 'responds', 'to', 'the', 'challenges', 'of', 'using', 'a', 'large', 'number', 'such', 'as', 'thousands', 'of', 'features', 'in', 'regression', 'and', 'classification', 'problems', 'there', 'are', 'two', 'situations', 'where', 'such', 'high', 'dimensional', 'features', 'arise', 'one', 'is', 'when', 'high', 'dimensional', 'measurements', 'are', 'available', 'for', 'example', 'gene', 'expression', 'data', 'produced', 'by', 'microarray', 'techniques', 'for', 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709.2937 | Theory of current-driven magnetization dynamics in inhomogeneous
ferromagnets | We give a brief account of recent developments in the theoretical
understanding of the interaction between electric currents and inhomogeneous
ferromagnetic order parameters. We start by discussing the physical origin of
the spin torques responsible for this interaction and construct a
phenomenological description. We then consider the electric current-induced
ferromagnetic instability and domain-wall motion. Finally, we present a
microscopic justification of the phenomenological description of current-driven
magnetization dynamics, with particular emphasis on the dissipative terms, the
so-called Gilbert damping $\alpha$ and the $\beta$ component of the adiabatic
current-driven torque.
| cond-mat.mes-hall | we give a brief account of recent developments in the theoretical understanding of the interaction between electric currents and inhomogeneous ferromagnetic order parameters we start by discussing the physical origin of the spin torques responsible for this interaction and construct a phenomenological description we then consider the electric currentinduced ferromagnetic instability and domainwall motion finally we present a microscopic justification of the phenomenological description of currentdriven magnetization dynamics with particular emphasis on the dissipative terms the socalled gilbert damping alpha and the beta component of the adiabatic currentdriven torque | [['we', 'give', 'a', 'brief', 'account', 'of', 'recent', 'developments', 'in', 'the', 'theoretical', 'understanding', 'of', 'the', 'interaction', 'between', 'electric', 'currents', 'and', 'inhomogeneous', 'ferromagnetic', 'order', 'parameters', 'we', 'start', 'by', 'discussing', 'the', 'physical', 'origin', 'of', 'the', 'spin', 'torques', 'responsible', 'for', 'this', 'interaction', 'and', 'construct', 'a', 'phenomenological', 'description', 'we', 'then', 'consider', 'the', 'electric', 'currentinduced', 'ferromagnetic', 'instability', 'and', 'domainwall', 'motion', 'finally', 'we', 'present', 'a', 'microscopic', 'justification', 'of', 'the', 'phenomenological', 'description', 'of', 'currentdriven', 'magnetization', 'dynamics', 'with', 'particular', 'emphasis', 'on', 'the', 'dissipative', 'terms', 'the', 'socalled', 'gilbert', 'damping', 'alpha', 'and', 'the', 'beta', 'component', 'of', 'the', 'adiabatic', 'currentdriven', 'torque']] | [-0.21012169769389577, 0.1856925814292195, -0.033062259645693086, 0.0428054020256118, -0.136738522501474, -0.06548420957739601, 0.006668791760889332, 0.33568717696274936, -0.24055582039016352, -0.26865987487011744, 0.024910008092018453, -0.21900397112718625, -0.14366161529225915, 0.18484097980015146, 0.06327545218787083, -0.009734285555863649, -0.0029969707110457204, -0.013982723142658726, -0.053583681719440425, -0.11430119666835983, 0.30442518523758216, 0.009929666389826309, 0.24829556567992053, 0.11637458942956135, 0.06725041279464625, 0.027877412223665233, 0.01519707004340847, 0.007416344844223408, -0.25991362070643836, 0.08163907226133213, 0.14058413394344865, -0.06855031033308151, 0.2055796594411302, -0.5333278020948506, -0.19760521778018014, 0.01612418472473876, 0.10768724138210162, 0.17871007833922847, -0.08005064450272391, -0.2749492061177917, -0.020154675272596855, -0.19805078768286477, -0.17597387625320468, -0.13144412334338668, 0.07847152063832356, 0.04059052300963844, -0.2736947366920708, 0.1025883314314853, 0.19105798452883288, 0.0809582376622417, -0.12545694441670616, -0.1008632617212539, -0.012282424402329024, 0.05596591795930702, 0.09955398163240235, 0.04763681140173687, 0.15558917222157373, -0.16658006752631888, -0.16830017087520677, 0.35513422931178235, -0.0589492361059967, -0.1781326107094797, 0.1340265355263889, -0.16813205401779394, -0.07760045100840625, 0.06591985715302022, 0.15622271983518024, 0.07559559744876924, -0.17536316714720446, 0.10304237546247504, 0.048643805976078085, 0.08059625694099186, 0.00851130051527884, 0.03955451096146462, 0.2812735191598702, 0.24626264417559704, -0.03978195804657854, 0.14210089112519486, -0.09674442666085709, -0.12119298442685453, -0.3383478894620464, -0.09787477269569893, -0.1339831052117803, 0.11570933933129136, -0.08507861585416465, -0.144569522041953, 0.4469420247282205, 0.21171686236401288, 0.16879750052571632, -0.013560837673630272, 0.31738173198792036, 0.1392290996534101, -0.03659820357818952, 0.035783169398691216, 0.284982083606, 0.20421203739909727, 0.11980445197982233, -0.3496194257861359, 0.062387210203156795, 0.0659195579682592] |
709.2938 | Near linear time algorithm to detect community structures in large-scale
networks | Community detection and analysis is an important methodology for
understanding the organization of various real-world networks and has
applications in problems as diverse as consensus formation in social
communities or the identification of functional modules in biochemical
networks. Currently used algorithms that identify the community structures in
large-scale real-world networks require a priori information such as the number
and sizes of communities or are computationally expensive. In this paper we
investigate a simple label propagation algorithm that uses the network
structure alone as its guide and requires neither optimization of a pre-defined
objective function nor prior information about the communities. In our
algorithm every node is initialized with a unique label and at every step each
node adopts the label that most of its neighbors currently have. In this
iterative process densely connected groups of nodes form a consensus on a
unique label to form communities. We validate the algorithm by applying it to
networks whose community structures are known. We also demonstrate that the
algorithm takes an almost linear time and hence it is computationally less
expensive than what was possible so far.
| physics.soc-ph | community detection and analysis is an important methodology for understanding the organization of various realworld networks and has applications in problems as diverse as consensus formation in social communities or the identification of functional modules in biochemical networks currently used algorithms that identify the community structures in largescale realworld networks require a priori information such as the number and sizes of communities or are computationally expensive in this paper we investigate a simple label propagation algorithm that uses the network structure alone as its guide and requires neither optimization of a predefined objective function nor prior information about the communities in our algorithm every node is initialized with a unique label and at every step each node adopts the label that most of its neighbors currently have in this iterative process densely connected groups of nodes form a consensus on a unique label to form communities we validate the algorithm by applying it to networks whose community structures are known we also demonstrate that the algorithm takes an almost linear time and hence it is computationally less expensive than what was possible so far | [['community', 'detection', 'and', 'analysis', 'is', 'an', 'important', 'methodology', 'for', 'understanding', 'the', 'organization', 'of', 'various', 'realworld', 'networks', 'and', 'has', 'applications', 'in', 'problems', 'as', 'diverse', 'as', 'consensus', 'formation', 'in', 'social', 'communities', 'or', 'the', 'identification', 'of', 'functional', 'modules', 'in', 'biochemical', 'networks', 'currently', 'used', 'algorithms', 'that', 'identify', 'the', 'community', 'structures', 'in', 'largescale', 'realworld', 'networks', 'require', 'a', 'priori', 'information', 'such', 'as', 'the', 'number', 'and', 'sizes', 'of', 'communities', 'or', 'are', 'computationally', 'expensive', 'in', 'this', 'paper', 'we', 'investigate', 'a', 'simple', 'label', 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709.2939 | NICMOS Observations of Shocked H_2 in Orion | HST NICMOS narrowband images of the shocked molecular hydrogen emission in
OMC-1 are analyzed to reveal new information on the BN/KL outflow. The
outstanding morphological feature of this region is the array of molecular
hydrogen ``fingers'' emanating from the general vicinity of IRc2 and the
presence of several Herbig-Haro objects. The NICMOS images appear to resolve
individual shock fronts. This work is a more quantitative and detailed analysis
of our data from a previous paper (Schultz etal. 1999).
Line strengths for the H_2 1--0 S(4) plus 2--1 S(6) lines at 1.89 micron are
estimated from measurements with the Paschen_alpha continuum filter F190N at
1.90 micron, and continuum measurements at 1.66 and 2.15 micron. We compare the
observed H_2 line strengths and ratios of the 1.89 micron and 2.12 micron 1--0
S(1) lines with models for molecular cloud shock waves. Most of the data cannot
be fit by J-shocks, but are well matched by C-shocks with shock velocities in
the range of 20--45 km/s and preshock densities of 10^{4} - 10^{6} cm^{-3},
similiar to values obtained in larger beam studies which averaged over many
shocks. There is also some evidence that shocks with higher densities have
lower velocities.
| astro-ph | hst nicmos narrowband images of the shocked molecular hydrogen emission in omc1 are analyzed to reveal new information on the bnkl outflow the outstanding morphological feature of this region is the array of molecular hydrogen fingers emanating from the general vicinity of irc2 and the presence of several herbigharo objects the nicmos images appear to resolve individual shock fronts this work is a more quantitative and detailed analysis of our data from a previous paper schultz etal 1999 line strengths for the h_2 10 s4 plus 21 s6 lines at 189 micron are estimated from measurements with the paschen_alpha continuum filter f190n at 190 micron and continuum measurements at 166 and 215 micron we compare the observed h_2 line strengths and ratios of the 189 micron and 212 micron 10 s1 lines with models for molecular cloud shock waves most of the data cannot be fit by jshocks but are well matched by cshocks with shock velocities in the range of 2045 kms and preshock densities of 104 106 cm3 similiar to values obtained in larger beam studies which averaged over many shocks there is also some evidence that shocks with higher densities have lower velocities | [['hst', 'nicmos', 'narrowband', 'images', 'of', 'the', 'shocked', 'molecular', 'hydrogen', 'emission', 'in', 'omc1', 'are', 'analyzed', 'to', 'reveal', 'new', 'information', 'on', 'the', 'bnkl', 'outflow', 'the', 'outstanding', 'morphological', 'feature', 'of', 'this', 'region', 'is', 'the', 'array', 'of', 'molecular', 'hydrogen', 'fingers', 'emanating', 'from', 'the', 'general', 'vicinity', 'of', 'irc2', 'and', 'the', 'presence', 'of', 'several', 'herbigharo', 'objects', 'the', 'nicmos', 'images', 'appear', 'to', 'resolve', 'individual', 'shock', 'fronts', 'this', 'work', 'is', 'a', 'more', 'quantitative', 'and', 'detailed', 'analysis', 'of', 'our', 'data', 'from', 'a', 'previous', 'paper', 'schultz', 'etal', '1999', 'line', 'strengths', 'for', 'the', 'h_2', '10', 's4', 'plus', '21', 's6', 'lines', 'at', '189', 'micron', 'are', 'estimated', 'from', 'measurements', 'with', 'the', 'paschen_alpha', 'continuum', 'filter', 'f190n', 'at', '190', 'micron', 'and', 'continuum', 'measurements', 'at', '166', 'and', '215', 'micron', 'we', 'compare', 'the', 'observed', 'h_2', 'line', 'strengths', 'and', 'ratios', 'of', 'the', '189', 'micron', 'and', '212', 'micron', '10', 's1', 'lines', 'with', 'models', 'for', 'molecular', 'cloud', 'shock', 'waves', 'most', 'of', 'the', 'data', 'can', 'not', 'be', 'fit', 'by', 'jshocks', 'but', 'are', 'well', 'matched', 'by', 'cshocks', 'with', 'shock', 'velocities', 'in', 'the', 'range', 'of', '2045', 'kms', 'and', 'preshock', 'densities', 'of', '104', '106', 'cm3', 'similiar', 'to', 'values', 'obtained', 'in', 'larger', 'beam', 'studies', 'which', 'averaged', 'over', 'many', 'shocks', 'there', 'is', 'also', 'some', 'evidence', 'that', 'shocks', 'with', 'higher', 'densities', 'have', 'lower', 'velocities']] | [-0.03588331006765843, 0.06667417361377141, 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709.294 | Spin-dependent tunneling and Coulomb blockade in ferromagnetic
nanoparticles | We review studies on spin-dependent tunneling phenomena in systems containing
ferromagnetic nanoparticles. We discuss preparation methods of assembling
nanoparticles as well as the mechanisms and results of spin-dependent transport
properties. The emphasis of this review is on characteristic spin-dependent
tunneling phenomena such as enhanced tunnel magnetoresistance (TMR) due to
co-tunneling in the Coulomb blockade regime and sign changes of the TMR due to
spin accumulation in nanoparticles.
| cond-mat.mtrl-sci cond-mat.mes-hall | we review studies on spindependent tunneling phenomena in systems containing ferromagnetic nanoparticles we discuss preparation methods of assembling nanoparticles as well as the mechanisms and results of spindependent transport properties the emphasis of this review is on characteristic spindependent tunneling phenomena such as enhanced tunnel magnetoresistance tmr due to cotunneling in the coulomb blockade regime and sign changes of the tmr due to spin accumulation in nanoparticles | [['we', 'review', 'studies', 'on', 'spindependent', 'tunneling', 'phenomena', 'in', 'systems', 'containing', 'ferromagnetic', 'nanoparticles', 'we', 'discuss', 'preparation', 'methods', 'of', 'assembling', 'nanoparticles', 'as', 'well', 'as', 'the', 'mechanisms', 'and', 'results', 'of', 'spindependent', 'transport', 'properties', 'the', 'emphasis', 'of', 'this', 'review', 'is', 'on', 'characteristic', 'spindependent', 'tunneling', 'phenomena', 'such', 'as', 'enhanced', 'tunnel', 'magnetoresistance', 'tmr', 'due', 'to', 'cotunneling', 'in', 'the', 'coulomb', 'blockade', 'regime', 'and', 'sign', 'changes', 'of', 'the', 'tmr', 'due', 'to', 'spin', 'accumulation', 'in', 'nanoparticles']] | [-0.20099290472510925, 0.14467389452785476, -0.002228109944444984, 0.07286766063727772, -0.023272967428219184, -0.14796451655730827, 0.06419506305898193, 0.3825944703795127, -0.2561364346531345, -0.3280033572618641, -0.041128793924199, -0.31346270179292607, -0.2023165154534934, 0.2537072154679405, -0.005440248920123523, -0.016556219712122164, 0.01097572884008066, -0.11498146406861383, -0.05369122605597072, -0.21344660599229495, 0.2952030886576247, 0.008737695458998431, 0.3051218065474905, 0.21471360684441987, 0.052198486972544623, 0.0838110447068935, 0.12536774562504976, 0.023552180226169415, -0.16668284954086168, 0.011417776102190594, 0.2733364342642364, -0.1636309495140145, 0.13297118879020658, -0.504541627979323, -0.159210957534639, -0.00296957886068901, 0.1841367191370966, 0.20050678366044564, -0.07317476786686969, -0.2754885565711936, -0.013046317956229644, -0.14594701385306222, -0.07835260458957793, -0.11102726517606583, 0.0074358755903346325, 0.06691298403068265, -0.2158261108587482, 0.09863537098211583, 0.10002528206417476, 0.08140109925628153, -0.039212860486734266, -0.1442058890390752, 0.019630990543666838, 0.03522499400510717, 0.10101543959410889, -0.07283470746296555, 0.2818104234565772, -0.17156179061284593, -0.21147045437524567, 0.3276870716641198, -0.06288102627801362, -0.09254458691201993, 0.19854559676388084, -0.20619950782674462, -0.04305935147871722, 0.10793893121933537, 0.16935787593195242, 0.1422042225682135, -0.18610001306758442, 0.09468571261898961, 0.0785668257957519, 0.08780128247479894, 0.06677800366905198, 0.15319930764832604, 0.2605503850630415, 0.28569322724395724, 0.02366417035488273, 0.11808366877888676, -0.14987499855542138, -0.062088425868927544, -0.21448533859715532, -0.16245798638729908, -0.21497646972203432, 0.13329972740985566, -0.0006076350331188305, -0.21523578759672038, 0.38048640532121963, 0.1940829306284883, 0.20935932869689344, -0.12252492939622434, 0.2909586306160955, 0.10713124419249762, 0.10167412124852192, -0.10378317963748948, 0.2341473379881302, 0.23195352890431437, 0.16953319298631664, -0.3626067792482452, 0.13232708175374724, -0.03562644665970453] |
709.2941 | The p-harmonic boundary for finitely generated groups and the first
reduced \ell_p-cohomology | Let $p$ be a real number greater than one and let $G$ be a finitely
generated, infinite group. In this paper we introduce the $p$-harmonic boundary
of $G$. We then characterize the vanishing of the first reduced
$\ell^p$-cohomology of $G$ in terms of the cardinality of this boundary. Some
properties of $p$-harmonic boundaries that are preserved under rough isometries
are also given. We also study the relationship between translation invariant
linear functionals on a certain difference space of functions on $G$, the
$p$-harmonic boundary of $G$ and the first reduced $\ell^p$-cohomology of $G$.
| math.FA math.GR | let p be a real number greater than one and let g be a finitely generated infinite group in this paper we introduce the pharmonic boundary of g we then characterize the vanishing of the first reduced ellpcohomology of g in terms of the cardinality of this boundary some properties of pharmonic boundaries that are preserved under rough isometries are also given we also study the relationship between translation invariant linear functionals on a certain difference space of functions on g the pharmonic boundary of g and the first reduced ellpcohomology of g | [['let', 'p', 'be', 'a', 'real', 'number', 'greater', 'than', 'one', 'and', 'let', 'g', 'be', 'a', 'finitely', 'generated', 'infinite', 'group', 'in', 'this', 'paper', 'we', 'introduce', 'the', 'pharmonic', 'boundary', 'of', 'g', 'we', 'then', 'characterize', 'the', 'vanishing', 'of', 'the', 'first', 'reduced', 'ellpcohomology', 'of', 'g', 'in', 'terms', 'of', 'the', 'cardinality', 'of', 'this', 'boundary', 'some', 'properties', 'of', 'pharmonic', 'boundaries', 'that', 'are', 'preserved', 'under', 'rough', 'isometries', 'are', 'also', 'given', 'we', 'also', 'study', 'the', 'relationship', 'between', 'translation', 'invariant', 'linear', 'functionals', 'on', 'a', 'certain', 'difference', 'space', 'of', 'functions', 'on', 'g', 'the', 'pharmonic', 'boundary', 'of', 'g', 'and', 'the', 'first', 'reduced', 'ellpcohomology', 'of', 'g']] | [-0.18930937641210133, 0.14839504482675223, -0.09881569350999529, 0.013403111275145284, -0.08944025514547223, -0.0737671631648736, 0.0021115980444035383, 0.365396287968202, -0.32393568994537475, -0.24523235381811218, 0.10150119349090082, -0.2727565928712808, -0.13935131932138115, 0.18570675954888624, -0.1150596953267532, 0.02068755363604875, 0.06336734339254357, 0.11613041945602945, -0.13668379063157224, -0.2675606422476791, 0.40362539652094087, -0.09043626146771575, 0.19126301552219097, 0.06809194001146363, 0.08907670709955436, -0.016295799740179574, -0.00048259591122948997, 0.06913599839542932, -0.19676547781202844, 0.14665524330570973, 0.24820859165441606, 0.058871977041245145, 0.2845127058205425, -0.3854487375907039, -0.17920154698383345, 0.23371185754896492, 0.07102328663070996, -0.07858366606586803, 0.016955829222977, -0.27165695996854894, 0.15944956702690932, -0.11943265250934068, -0.12109273509122431, -0.006488222378476333, 0.08327586959386545, 0.0174960042975883, -0.24197155794739644, 0.031946157620373554, 0.08187590066784171, 0.11179066118934462, -0.0549312063557927, -0.0984643326361253, -0.1026527638527094, 0.11544602696273115, 0.013005395204589893, 0.05809600944430517, 0.0476054811389536, -0.06749192250001254, -0.057493628588535135, 0.3919213790626776, -0.11675680879211199, -0.2779456347237111, 0.14210096357129914, -0.21671671394298794, -0.14843589177365185, 0.08499771443205656, 0.17323844364133253, 0.18115734867751598, -0.07380181675155957, 0.18411688675718402, -0.12612848800622048, 0.09397231028365191, 0.10615133680403233, -0.017600021325051785, 0.09788328375146595, 0.10504422388390026, 0.1591583117291892, 0.19399577934264897, 0.030020805538922387, 0.08804061551708528, -0.4265132738397487, -0.14801608753060141, -0.1786038723664098, 0.10471560006901141, -0.13130038131437746, -0.1908957574977189, 0.3945750093778535, 0.10449422800272543, 0.17229160069618174, 0.11474436990195705, 0.19306274389307346, 0.14376059581115042, 0.0018324235263931495, 0.09747516966214584, 0.10281608251370339, 0.20225523480324334, -0.09057870892787813, -0.2161945742154394, 0.01921551529898919, 0.15285188868461597] |
709.2942 | Conformal Enhancement of Holographic Scaling in Black Hole
Thermodynamics: A Near-Horizon Heat-Kernel Framework | Standard thermodynamic treatments of quantum field theory in the presence of
black-hole backgrounds reproduce the black hole entropy by usually specializing
to the leading order of the heat-kernel or the high-temperature expansion. By
contrast, this work develops a hybrid framework centered on geometric spectral
asymptotics whereby these assumptions are shown to be unwarranted insofar as
black hole thermodynamics is concerned. The approach--consisting of the
concurrent use of near-horizon and heat-kernel asymptotic expansions--leads to
a proof of the holographic scaling of the entropy as a universal feature driven
by conformal quantum mechanics.
| hep-th gr-qc math-ph math.MP quant-ph | standard thermodynamic treatments of quantum field theory in the presence of blackhole backgrounds reproduce the black hole entropy by usually specializing to the leading order of the heatkernel or the hightemperature expansion by contrast this work develops a hybrid framework centered on geometric spectral asymptotics whereby these assumptions are shown to be unwarranted insofar as black hole thermodynamics is concerned the approachconsisting of the concurrent use of nearhorizon and heatkernel asymptotic expansionsleads to a proof of the holographic scaling of the entropy as a universal feature driven by conformal quantum mechanics | [['standard', 'thermodynamic', 'treatments', 'of', 'quantum', 'field', 'theory', 'in', 'the', 'presence', 'of', 'blackhole', 'backgrounds', 'reproduce', 'the', 'black', 'hole', 'entropy', 'by', 'usually', 'specializing', 'to', 'the', 'leading', 'order', 'of', 'the', 'heatkernel', 'or', 'the', 'hightemperature', 'expansion', 'by', 'contrast', 'this', 'work', 'develops', 'a', 'hybrid', 'framework', 'centered', 'on', 'geometric', 'spectral', 'asymptotics', 'whereby', 'these', 'assumptions', 'are', 'shown', 'to', 'be', 'unwarranted', 'insofar', 'as', 'black', 'hole', 'thermodynamics', 'is', 'concerned', 'the', 'approachconsisting', 'of', 'the', 'concurrent', 'use', 'of', 'nearhorizon', 'and', 'heatkernel', 'asymptotic', 'expansionsleads', 'to', 'a', 'proof', 'of', 'the', 'holographic', 'scaling', 'of', 'the', 'entropy', 'as', 'a', 'universal', 'feature', 'driven', 'by', 'conformal', 'quantum', 'mechanics']] | [-0.099599242904956, 0.10202278295176083, -0.12929983599257938, 0.08888380001253302, -0.07023783970959066, -0.13710088992826222, 0.02325397489063986, 0.2367878874784775, -0.2070495197287855, -0.24929653836435148, 0.11505721901213813, -0.2949201910850707, -0.12168089394286613, 0.15468958999407006, -0.08841957688708318, 0.10610825157190641, -0.05355336754765948, 0.07058238905195273, -0.09648136865201123, -0.18981793858738763, 0.36634887056425214, 0.09467720530215609, 0.29722475161085304, 0.020110194242998872, 0.06419080982424236, 0.007253150471350115, -0.007688629938017452, 0.05834073259683556, -0.16137010747504033, 0.11391632669092563, 0.259792875560011, 0.06563502725402123, 0.22234528181090785, -0.4280279535967647, -0.269955291036056, 0.03255091277422028, 0.14305663305031283, 0.13711778202690603, -0.03788254156661628, -0.25250320375133095, 0.057624480896367784, -0.20510641774267294, -0.17459838192784385, -0.09627007995339718, -0.04072511045842986, -0.02993326217689541, -0.21301285772364628, 0.13813257766259687, 0.12230065966998174, 0.004447686710928598, -0.020932625105416172, -0.004548240850648183, 0.0016994595297434357, 0.06656488428530649, 0.1414766941884051, 0.03289764868147839, 0.17059802381175287, -0.13516045951682112, -0.14424489853966438, 0.343082247751901, -0.0403822135883959, -0.1651525010428067, 0.163897935180726, -0.17031449738764362, -0.12396920145374168, 0.08573469736226154, 0.0996502426353524, 0.1805145799835066, -0.18049199435483204, 0.16956883090158423, 0.034583170458758146, 0.1427875436852906, 0.10617221429881253, 0.08601830537650693, 0.30546723853723473, 0.08708165043028428, -0.014926352276560965, 0.1805634194490594, -0.017929111489649402, -0.19083242100569303, -0.3616861009740093, -0.1662275507585721, -0.2157242473475164, 0.13881743348758208, -0.16602340554592876, -0.22804548173424724, 0.330980387244248, 0.13925428457183403, 0.18887641054860663, 0.044584964399403904, 0.2455774331517685, 0.1357472993281743, 0.032108308218963696, 0.06440159131699566, 0.2794131539092305, 0.1834074739403395, 0.11531596922634818, -0.2566425213747229, 0.0037080799124800086, 0.15250819054003176] |
709.2943 | On Birnbaum-Saunders Inference | The Birnbaum-Saunders distribution, also known as the fatigue-life
distribution, is frequently used in reliability studies. We obtain adjustments
to the Birnbaum--Saunders profile likelihood function. The modified versions of
the likelihood function were obtained for both the shape and scale parameters,
i.e., we take the shape parameter to be of interest and the scale parameter to
be of nuisance, and then consider the situation in which the interest lies in
performing inference on the scale parameter with the shape parameter entering
the modeling in nuisance fashion. Modified profile maximum likelihood
estimators are obtained by maximizing the corresponding adjusted likelihood
functions. We present numerical evidence on the finite sample behavior of the
different estimators and associated likelihood ratio tests. The results favor
the adjusted estimators and tests we propose. A novel aspect of the profile
likelihood adjustments obtained in this paper is that they yield improved point
estimators and tests. The two profile likelihood adjustments work well when
inference is made on the shape parameter, and one of them displays superior
behavior when it comes to performing hypothesis testing inference on the scale
parameter. Two empirical applications are briefly presented.
| stat.ME math.ST stat.TH | the birnbaumsaunders distribution also known as the fatiguelife distribution is frequently used in reliability studies we obtain adjustments to the birnbaumsaunders profile likelihood function the modified versions of the likelihood function were obtained for both the shape and scale parameters ie we take the shape parameter to be of interest and the scale parameter to be of nuisance and then consider the situation in which the interest lies in performing inference on the scale parameter with the shape parameter entering the modeling in nuisance fashion modified profile maximum likelihood estimators are obtained by maximizing the corresponding adjusted likelihood functions we present numerical evidence on the finite sample behavior of the different estimators and associated likelihood ratio tests the results favor the adjusted estimators and tests we propose a novel aspect of the profile likelihood adjustments obtained in this paper is that they yield improved point estimators and tests the two profile likelihood adjustments work well when inference is made on the shape parameter and one of them displays superior behavior when it comes to performing hypothesis testing inference on the scale parameter two empirical applications are briefly presented | [['the', 'birnbaumsaunders', 'distribution', 'also', 'known', 'as', 'the', 'fatiguelife', 'distribution', 'is', 'frequently', 'used', 'in', 'reliability', 'studies', 'we', 'obtain', 'adjustments', 'to', 'the', 'birnbaumsaunders', 'profile', 'likelihood', 'function', 'the', 'modified', 'versions', 'of', 'the', 'likelihood', 'function', 'were', 'obtained', 'for', 'both', 'the', 'shape', 'and', 'scale', 'parameters', 'ie', 'we', 'take', 'the', 'shape', 'parameter', 'to', 'be', 'of', 'interest', 'and', 'the', 'scale', 'parameter', 'to', 'be', 'of', 'nuisance', 'and', 'then', 'consider', 'the', 'situation', 'in', 'which', 'the', 'interest', 'lies', 'in', 'performing', 'inference', 'on', 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709.2944 | On the state space geometry of the Kuramoto-Sivashinsky flow in a
periodic domain | The continuous and discrete symmetries of the Kuramoto-Sivashinsky system
restricted to a spatially periodic domain play a prominent role in shaping the
invariant sets of its chaotic dynamics. The continuous spatial translation
symmetry leads to relative equilibrium (traveling wave) and relative periodic
orbit (modulated traveling wave) solutions. The discrete symmetries lead to
existence of equilibrium and periodic orbit solutions, induce decomposition of
state space into invariant subspaces, and enforce certain structurally stable
heteroclinic connections between equilibria. We show, on the example of a
particular small-cell Kuramoto-Sivashinsky system, how the geometry of its
dynamical state space is organized by a rigid `cage' built by heteroclinic
connections between equilibria, and demonstrate the preponderance of unstable
relative periodic orbits and their likely role as the skeleton underpinning
spatiotemporal turbulence in systems with continuous symmetries. We also offer
novel visualizations of the high-dimensional Kuramoto-Sivashinsky state space
flow through projections onto low-dimensional, PDE representation independent,
dynamically invariant intrinsic coordinate frames, as well as in terms of the
physical, symmetry invariant energy transfer rates.
| nlin.CD | the continuous and discrete symmetries of the kuramotosivashinsky system restricted to a spatially periodic domain play a prominent role in shaping the invariant sets of its chaotic dynamics the continuous spatial translation symmetry leads to relative equilibrium traveling wave and relative periodic orbit modulated traveling wave solutions the discrete symmetries lead to existence of equilibrium and periodic orbit solutions induce decomposition of state space into invariant subspaces and enforce certain structurally stable heteroclinic connections between equilibria we show on the example of a particular smallcell kuramotosivashinsky system how the geometry of its dynamical state space is organized by a rigid cage built by heteroclinic connections between equilibria and demonstrate the preponderance of unstable relative periodic orbits and their likely role as the skeleton underpinning spatiotemporal turbulence in systems with continuous symmetries we also offer novel visualizations of the highdimensional kuramotosivashinsky state space flow through projections onto lowdimensional pde representation independent dynamically invariant intrinsic coordinate frames as well as in terms of the physical symmetry invariant energy transfer rates | [['the', 'continuous', 'and', 'discrete', 'symmetries', 'of', 'the', 'kuramotosivashinsky', 'system', 'restricted', 'to', 'a', 'spatially', 'periodic', 'domain', 'play', 'a', 'prominent', 'role', 'in', 'shaping', 'the', 'invariant', 'sets', 'of', 'its', 'chaotic', 'dynamics', 'the', 'continuous', 'spatial', 'translation', 'symmetry', 'leads', 'to', 'relative', 'equilibrium', 'traveling', 'wave', 'and', 'relative', 'periodic', 'orbit', 'modulated', 'traveling', 'wave', 'solutions', 'the', 'discrete', 'symmetries', 'lead', 'to', 'existence', 'of', 'equilibrium', 'and', 'periodic', 'orbit', 'solutions', 'induce', 'decomposition', 'of', 'state', 'space', 'into', 'invariant', 'subspaces', 'and', 'enforce', 'certain', 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'invariant', 'energy', 'transfer', 'rates']] | [-0.2265843372560561, 0.13946560728973487, -0.10564431340234089, 0.07385406658743575, -0.06612252783850722, -0.12390526876177839, 0.01115657331857143, 0.3483496920671314, -0.3532540862160247, -0.21816362551735005, 0.1146249938749298, -0.21679789440739633, -0.19157789472679032, 0.1312028125366418, -0.04280530370860582, 0.10104463199102265, 0.07911360013115752, 0.005560031818320221, -0.07422329863489029, -0.16505507540257117, 0.36811833934015814, -0.004977794555348477, 0.29341570523268146, -0.07107065131874281, 0.13846938572047898, 0.0007618026561214633, 0.012504070814299797, -0.017994295298974197, -0.12406156346246246, 0.11317997122837585, 0.22384328394019531, 0.06491252364845596, 0.23284403533796735, -0.43654851943609263, -0.22350063917526444, 0.10929575576058899, 0.14935587771746905, 0.08509897787146092, -0.03897741979623485, -0.35719615205640104, 0.03134151421199065, -0.13193020195744576, -0.18913797921864206, -0.1473624612332233, 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709.2945 | A Simple Model of Direct Gauge Mediation of Metastable Supersymmetry
Breaking | We construct a model of direct gauge mediation of metastable SUSY breaking by
simply deforming the Intriligator, Seiberg and Shih model in terms of a dual
meson superpotential mass term. No extra matter field is introduced. The
deformation explicitly breaks a U(1)_R symmetry and a pseudo moduli have a
nonzero VEV at one-loop. Our metastable SUSY breaking vacuum turns out to be
sufficiently long-lived. By gauging a subgroup of flavor symmetry, our model
can directly couple to the standard model, which leads to nonvanishing gaugino
mass generation. It is also shown that our model can evade the Landau pole
problem. We show the parameters in the SUSY breaking sector are
phenomenologically constrained.
| hep-ph | we construct a model of direct gauge mediation of metastable susy breaking by simply deforming the intriligator seiberg and shih model in terms of a dual meson superpotential mass term no extra matter field is introduced the deformation explicitly breaks a u1_r symmetry and a pseudo moduli have a nonzero vev at oneloop our metastable susy breaking vacuum turns out to be sufficiently longlived by gauging a subgroup of flavor symmetry our model can directly couple to the standard model which leads to nonvanishing gaugino mass generation it is also shown that our model can evade the landau pole problem we show the parameters in the susy breaking sector are phenomenologically constrained | [['we', 'construct', 'a', 'model', 'of', 'direct', 'gauge', 'mediation', 'of', 'metastable', 'susy', 'breaking', 'by', 'simply', 'deforming', 'the', 'intriligator', 'seiberg', 'and', 'shih', 'model', 'in', 'terms', 'of', 'a', 'dual', 'meson', 'superpotential', 'mass', 'term', 'no', 'extra', 'matter', 'field', 'is', 'introduced', 'the', 'deformation', 'explicitly', 'breaks', 'a', 'u1_r', 'symmetry', 'and', 'a', 'pseudo', 'moduli', 'have', 'a', 'nonzero', 'vev', 'at', 'oneloop', 'our', 'metastable', 'susy', 'breaking', 'vacuum', 'turns', 'out', 'to', 'be', 'sufficiently', 'longlived', 'by', 'gauging', 'a', 'subgroup', 'of', 'flavor', 'symmetry', 'our', 'model', 'can', 'directly', 'couple', 'to', 'the', 'standard', 'model', 'which', 'leads', 'to', 'nonvanishing', 'gaugino', 'mass', 'generation', 'it', 'is', 'also', 'shown', 'that', 'our', 'model', 'can', 'evade', 'the', 'landau', 'pole', 'problem', 'we', 'show', 'the', 'parameters', 'in', 'the', 'susy', 'breaking', 'sector', 'are', 'phenomenologically', 'constrained']] | [-0.15045090335583414, 0.2775567913028811, -0.07971893006054286, 0.1656147528078041, -0.1423121577328337, -0.18088672281841614, 0.016096479721974383, 0.3063380811425824, -0.22690416051773354, -0.28767107650803936, 0.07191797363962646, -0.20887543380792653, -0.13027137649727852, 0.03456699720741848, -0.03371401255883809, 0.026827705777707576, -0.02871307447120281, -0.0014578298890098398, -0.05785535090295265, -0.24482061687324727, 0.2927262249078402, 0.006674007098938871, 0.24794138725181775, 0.09556063678714313, 0.11309164641508167, -0.07501713473487014, 0.048082104875772656, -0.07396138823657696, -0.06830529531030802, 0.04061720522856506, 0.1521498380336977, 0.025896414124872535, 0.09394575583948088, -0.3752341470681131, -0.22354538747042949, 0.18423768784019298, 0.16177637566163736, 0.18029806518981267, -0.07584852568938263, -0.32790321652178783, 0.08860683186295708, -0.23151471881179272, -0.1439494226662126, -0.1476875471936572, -0.07128320313703236, -0.22756955621818115, -0.33300425222842023, 0.09173815967447549, -0.049776711334873526, -0.011666648493181648, -0.032973825357787846, -0.0741637586449672, -0.17801104324878128, -0.02440199895603915, 0.21267143453068066, 0.04044689577338951, 0.16010692580675823, -0.21239308347243682, -0.12668020553194634, 0.4390831546458815, -0.07564567337145231, -0.22676607761864684, 0.11411310512214966, -0.07233948195269997, -0.19845371606477005, 0.1428118117868767, 0.08930491132196039, 0.11214333691168576, -0.12937667967552052, 0.24440732974055987, -0.09111336570432675, 0.16443027176345432, 0.08046838598342479, -0.02442934336327848, 0.29885531586062697, 0.13773934571405075, 0.06318248370371293, 0.10823825773279948, 0.027581330750503445, -0.11965411015470247, -0.45665582979563624, -0.09299722492661593, -0.11214838489624006, 0.0812042813215937, -0.08922123098091106, -0.09868078042174082, 0.4293115985014343, 0.11244589938516063, 0.2099205710276562, 0.053522368906539795, 0.2177901026526732, 0.0973894233923472, 0.16175189836524492, -0.02194731668552257, 0.2949709856017892, 0.11324639599167442, 0.05832114878908864, -0.28038470097401713, -0.11546333455563788, 0.16695077605358424] |
709.2946 | The relationships between Invertible Module Maps X and X_z | If $R$ and $M$ are Hilbert modules (in the sense of R. G. Douglas and V. I.
Paulsen), we study the relationship between invertible module maps $X:R\to{M}$
and $X_{z}:R/R_{z}\to{M/M_{z}}$. In particular, for quasi-free Hilbert modules
$R$ and $M$, we provide a condition of a module map $X:R\to{M}$, such that if
$X_{z}:R/R_{z}\to{M/M_{z}}$ is invertible for every $z$ in a domain $\Omega$ in
the complex plane, then $X$ is also invertible.
| math.FA math.OA | if r and m are hilbert modules in the sense of r g douglas and v i paulsen we study the relationship between invertible module maps xrtom and x_zrr_ztomm_z in particular for quasifree hilbert modules r and m we provide a condition of a module map xrtom such that if x_zrr_ztomm_z is invertible for every z in a domain omega in the complex plane then x is also invertible | [['if', 'r', 'and', 'm', 'are', 'hilbert', 'modules', 'in', 'the', 'sense', 'of', 'r', 'g', 'douglas', 'and', 'v', 'i', 'paulsen', 'we', 'study', 'the', 'relationship', 'between', 'invertible', 'module', 'maps', 'xrtom', 'and', 'x_zrr_ztomm_z', 'in', 'particular', 'for', 'quasifree', 'hilbert', 'modules', 'r', 'and', 'm', 'we', 'provide', 'a', 'condition', 'of', 'a', 'module', 'map', 'xrtom', 'such', 'that', 'if', 'x_zrr_ztomm_z', 'is', 'invertible', 'for', 'every', 'z', 'in', 'a', 'domain', 'omega', 'in', 'the', 'complex', 'plane', 'then', 'x', 'is', 'also', 'invertible']] | [-0.18504483487743598, 0.0648160881541956, -0.055920556316582055, 0.016232885080031477, -0.037396005942271306, -0.20452048699013314, -0.016198656278160903, 0.4289864753301327, -0.35705956048690357, -0.13508850452131949, 0.1105259180570451, -0.25914557705131863, -0.17341813505269013, 0.16996980792878624, -0.09054343080721222, -0.05602215487653246, 0.08099745430338841, 0.09296364202208889, -0.09095838840406101, -0.25967969629877746, 0.4113587559415744, -0.014728360451184787, 0.14615513541234226, 0.02761019580066204, 0.15262535250244233, 0.03564736497086974, -0.031902706486961016, 0.00868042866484477, -0.1644132790268766, 0.08609433248639106, 0.2959691777252234, 0.12878846427998863, 0.2427675748673769, -0.30027347866651743, -0.0953498530559815, 0.19973200530960009, 0.11301973378285765, -0.095114023782886, -0.006495677652912071, -0.23250045452553492, 0.15419993963665687, -0.15349124241620302, -0.041190032875881744, -0.03364504571430958, 0.2173736261490446, 0.004472845588595821, -0.34208797726493617, -0.009174904904704398, 0.11847459635195824, 0.10310970937045148, -0.04703552718990697, -0.056074229155022366, -0.10024144530582886, 0.09429417849303438, -0.11788376259545867, 0.11166221130854236, 0.07866804911307274, -0.07149124768777536, -0.015275067114271224, 0.3365664226504473, -0.1120515338342207, -0.26915166330962587, 0.13855302448814305, -0.22788721923358166, -0.12423697511593883, 0.03930294466778063, 0.05508894531342846, 0.1344071236367409, -0.044466594234108925, 0.28374509180609425, -0.15731850904054367, 0.10332118754203502, 0.06600384628400206, 0.007494703818184252, 0.12226611490433033, 0.09851117911390388, 0.1063833526478937, 0.07842720119425883, -0.02737556450928633, 0.11055408054246352, -0.39570280857957324, -0.2555885234990945, -0.13392334348486307, 0.08904368771383396, -0.05368799055622031, -0.10465706366185959, 0.37230806342111183, 0.08367050032919417, 0.22797300891520886, 0.06624420179197421, 0.1837837463674637, 0.045459071962306134, 0.012360138367288387, 0.12896696413652256, 0.10160897213679093, 0.21029577510288128, 0.04861868273180265, -0.09756818369317513, -0.051513458860035125, 0.16499221046956686] |
709.2947 | Sums of Products of Bernoulli numbers of the second kind | The Bernoulli numbers b_0,b_1,b_2,.... of the second kind are defined by
\sum_{n=0}^\infty b_nt^n=\frac{t}{\log(1+t)}. In this paper, we give an
explicit formula for the sum \sum_{j_1+j_2+...+j_N=n,
j_1,j_2,...,j_N>=0}b_{j_1}b_{j_2}...b_{j_N}. We also establish a q-analogue for
\sum_{k=0}^n b_kb_{n-k}=-(n-1)b_n-(n-2)b_{n-1}.
| math.NT math.CO | the bernoulli numbers b_0b_1b_2 of the second kind are defined by sum_n0infty b_ntnfractlog1t in this paper we give an explicit formula for the sum sum_j_1j_2j_nn j_1j_2j_n0b_j_1b_j_2b_j_n we also establish a qanalogue for sum_k0n b_kb_nkn1b_nn2b_n1 | [['the', 'bernoulli', 'numbers', 'b_0b_1b_2', 'of', 'the', 'second', 'kind', 'are', 'defined', 'by', 'sum_n0infty', 'b_ntnfractlog1t', 'in', 'this', 'paper', 'we', 'give', 'an', 'explicit', 'formula', 'for', 'the', 'sum', 'sum_j_1j_2j_nn', 'j_1j_2j_n0b_j_1b_j_2b_j_n', 'we', 'also', 'establish', 'a', 'qanalogue', 'for', 'sum_k0n', 'b_kb_nkn1b_nn2b_n1']] | [-0.19511889865429238, 0.07770504788465493, -0.05054355139747776, 0.08477451910409306, -0.07813265697291956, -0.06674739029579635, 0.06688124012474998, 0.27314305071044587, -0.2834490070055271, -0.21144243894979872, 0.05987979424715941, -0.24130560761189151, -0.2236042565441337, 0.24900634432661123, -0.11438476978319473, -0.011654840075764162, -0.05111611363927609, 0.11036077278248708, -0.06638711755131853, -0.27255179797267093, 0.37558228085780965, -0.034878033630806826, 0.15545175924640278, 0.06961115571702349, 0.11230794202279427, 0.008538630903409472, -0.02603142583293134, -0.08375365120069735, -0.2569705819197256, 0.11701388303832762, 0.231025955832467, 0.09842371702964964, 0.2782339083737341, -0.35688415930831224, -0.03897410838318796, 0.1802361481020163, 0.1773413054901978, 0.03223092070427434, -0.05092661581323322, -0.22117881830139408, 0.09418054069151524, -0.26012619006736526, -0.1817998987108726, -0.11187057036521106, 0.0486370927557863, 0.13093719779160515, -0.3688318508452383, 0.08769965912757345, 0.09199992573723711, 0.10967092074710748, -0.01775085299018899, -0.1884833189562477, 0.1289643366331363, 0.07930307226769369, 0.02228774156036048, -0.010273793760430196, -0.08730935565485008, -0.07249631841088934, -0.11409420770560873, 0.35073274425391493, -0.04306155851046587, -0.2599674442718769, -0.009659822484285667, -0.13832324256735115, -0.22049956015664443, 0.047689814987624514, 0.11333325929168997, 0.17253305371208438, -0.11438002007017875, 0.05914165012153058, -0.16660159135815397, 0.06759231004478602, 0.15456198568552218, 0.003904390758995352, 0.10893967073282292, 0.03321075667466583, 0.03569379943455088, 0.2703559364609677, -0.01985641344097154, -0.020072771750133615, -0.41536869648201713, -0.2702492172348088, -0.22320554004018678, 0.11570586585279169, -0.09475555004359319, -0.18416908068646645, 0.3417352195186862, 0.07342386566873255, 0.21229547610634875, 0.21064290988804965, 0.2364910208009954, 0.25042416238836174, -0.025934062320096738, -0.013663254999395075, 0.0994589623979068, 0.1802636564243585, 0.07546815073824134, -0.08329885384842657, 0.04857902880758047, 0.2678812040529888] |
709.2948 | The Contribution of the Cosmological Constant to the Relativistic
Bending of Light Revisited | We study the effect of the cosmological constant $\Lambda$ on the bending of
light by a concentrated spherically symmetric mass. Contrarily to previous
claims, we show that when the Schwarzschild-de Sitter geometry is taken into
account, $\Lambda$ does indeed contribute to the bending.
| astro-ph gr-qc hep-th | we study the effect of the cosmological constant lambda on the bending of light by a concentrated spherically symmetric mass contrarily to previous claims we show that when the schwarzschildde sitter geometry is taken into account lambda does indeed contribute to the bending | [['we', 'study', 'the', 'effect', 'of', 'the', 'cosmological', 'constant', 'lambda', 'on', 'the', 'bending', 'of', 'light', 'by', 'a', 'concentrated', 'spherically', 'symmetric', 'mass', 'contrarily', 'to', 'previous', 'claims', 'we', 'show', 'that', 'when', 'the', 'schwarzschildde', 'sitter', 'geometry', 'is', 'taken', 'into', 'account', 'lambda', 'does', 'indeed', 'contribute', 'to', 'the', 'bending']] | [-0.13459370923120267, 0.12851464250233285, -0.1081873019832338, 0.07945464509485159, -0.12828353102600507, -0.10761009172947947, -0.030538708404746165, 0.36744575644301813, -0.1767833124586316, -0.22794992805913436, 0.028616359955522905, -0.26736761231062023, -0.09654522197710913, 0.14681116753626008, -0.046714938895473644, -0.03607146500414887, 0.015812893132787456, 0.03186718292187813, -0.030799854963714648, -0.23071427188467147, 0.39248130725003605, 0.07592854893571416, 0.26056227139955346, 0.06171402820321017, 0.04246446702542693, 0.012210657787617556, -0.03739384674402171, 0.10354985565293667, -0.242630741998403, 0.04760548895019172, 0.11808324097330834, 0.08054564476316405, 0.2342351507828679, -0.40985991584873477, -0.24374688659296478, 0.13798853980247364, 0.12940441968655864, 0.15352154115951339, -0.03408193113119883, -0.29098911145918593, 0.08570693450340958, -0.1223091421388956, -0.19202210137967107, 0.004577553202939588, 0.046311159098390925, -0.04993138280913754, -0.2070010947929912, 0.10189519796607106, 0.1024161117194697, -0.09377770675996015, -0.13423546570418185, -0.11450879576854235, -0.060564253804122295, 0.06858927258195593, 0.17209962328224507, 0.001460333793359094, 0.14897280936345977, -0.06837624389418336, -0.024654065713632937, 0.43784057418274325, -0.13759723880739752, -0.22282360723718656, 0.08165543026095906, -0.22962368811415726, -0.10025077795090023, 0.14189062393162138, 0.16085087434323722, 0.13106949027454437, -0.06395991139694626, 0.17443723530443603, -0.03055970121153392, 0.216344598342318, 0.10198570495514675, -0.028980878235902206, 0.2786648237947808, 0.0731205312740924, 0.022988692034295825, 0.1389174910132275, -0.055266945704081374, -0.1267415250023437, -0.3352709031382272, -0.1206323387274562, -0.1313701560612508, 0.13717786105739516, -0.12384659756072472, -0.16661714329275973, 0.29020312532436016, 0.10826114604119645, 0.1906228673774316, 0.057175126793079595, 0.28296074149913564, 0.04606666032571432, 0.06246330188912188, 0.06086306939941159, 0.37302501174772895, 0.10744767574874987, 0.08518846762951376, -0.2814202961122054, -0.01914362929934679, 0.024646245441291223] |
709.2949 | Metallicity and mean age across M33 | New wide-field near-infrared (NIR) imaging observations of M33 were obtained
from UKIRT. These show a large population of intermediate-age stars
considerably improving on previous NIR data. The spatial distribution of super
giant stars, carbon-rich (C-rich or C stars) and oxygen-rich (O-rich or M
stars) asymptotic giant branch (AGB) stars distinguished from the NIR
colour-magnitude diagram (CMD) have been studied as well as the C/M ratio. The
Ks magnitude distribution has been interpreted using theoretical models to
derive the mean age and the mean metallicity across M33.
| astro-ph | new widefield nearinfrared nir imaging observations of m33 were obtained from ukirt these show a large population of intermediateage stars considerably improving on previous nir data the spatial distribution of super giant stars carbonrich crich or c stars and oxygenrich orich or m stars asymptotic giant branch agb stars distinguished from the nir colourmagnitude diagram cmd have been studied as well as the cm ratio the ks magnitude distribution has been interpreted using theoretical models to derive the mean age and the mean metallicity across m33 | [['new', 'widefield', 'nearinfrared', 'nir', 'imaging', 'observations', 'of', 'm33', 'were', 'obtained', 'from', 'ukirt', 'these', 'show', 'a', 'large', 'population', 'of', 'intermediateage', 'stars', 'considerably', 'improving', 'on', 'previous', 'nir', 'data', 'the', 'spatial', 'distribution', 'of', 'super', 'giant', 'stars', 'carbonrich', 'crich', 'or', 'c', 'stars', 'and', 'oxygenrich', 'orich', 'or', 'm', 'stars', 'asymptotic', 'giant', 'branch', 'agb', 'stars', 'distinguished', 'from', 'the', 'nir', 'colourmagnitude', 'diagram', 'cmd', 'have', 'been', 'studied', 'as', 'well', 'as', 'the', 'cm', 'ratio', 'the', 'ks', 'magnitude', 'distribution', 'has', 'been', 'interpreted', 'using', 'theoretical', 'models', 'to', 'derive', 'the', 'mean', 'age', 'and', 'the', 'mean', 'metallicity', 'across', 'm33']] | [0.03377355438072321, 0.07634494610693912, -0.13785569015673774, 0.09719439682572387, -0.1474897611756311, -0.01735004722573903, 0.11956955334388239, 0.4777154313660292, -0.10554043398452598, -0.381826053173173, 0.027794053994638974, -0.2834116903805109, -0.001414088586475267, 0.1543701541079425, -0.12482617806025975, -0.044648283222814764, 0.17110204460034364, -0.11730989322152942, -0.012763729048243095, -0.33068322056774485, 0.21865599710212716, -0.03602337326074755, 0.16656037908437293, -0.1468692238274745, 0.0016775761289673662, -0.18289483885475716, -0.09049876214026711, -0.06720195626190235, -0.20547806697377805, 0.01571157755503474, 0.24940391910333642, 0.15192756516896838, 0.1586504950469663, -0.3238923485109279, -0.2483899076577536, 0.04361955433824034, 0.31006051174386645, -0.036945310659533326, -0.038684978795530234, -0.29487406334103367, 0.04282661363398548, -0.14464858070362446, -0.23881445054051487, 0.09491386262396741, 0.038773186726842164, 0.0875905163661945, -0.23112788890640057, 0.11945999671602188, -0.01607616461114958, 0.25249195948979536, -0.1268575803463369, -0.2994082029259136, -0.1217504776229129, 0.11113707242576881, -0.007093844697052656, 0.06812013247115321, 0.09328731972464295, -0.1669935326546777, 0.020091873333724433, 0.3146822908243468, -0.16151875552049902, 0.13631015584999046, 0.23049502588028825, -0.21339063852115772, -0.1596198726586218, 0.07000187832082427, 0.10889466452347331, 0.2305684248851829, -0.23459104798851957, 0.07018913138998932, 0.0018399163030174582, 0.16807243682790635, 0.10538136098144013, 0.14167885495847915, 0.3426048185697995, 0.1216490347111641, -0.028499983329607476, 0.11107389465770359, -0.35847680151278455, -0.07150241151603676, -0.17045513698614614, -0.10470744394588956, -0.14052829326016741, 0.12037284194686731, -0.2396175488717935, -0.15511815405862275, 0.2694828739866268, 0.03821038251721062, 0.1856426545418799, 0.027879663842911614, 0.31622602178195364, 0.09603150486458786, 0.1893333139474677, 0.11550645172855882, 0.35717077599838376, 0.24250656899422146, 0.10740281136294957, -0.2529926991664133, 0.11821128950497611, 0.00734092146537245] |
709.295 | Propagation of a quantum particle through two dimensional percolating
systems | We study quantum percolation which is described by a tight-binding
Hamiltonian containing only off-diagonal hopping terms that are generally in
quenched binary disorder (zero or one). In such a system, transmission of a
quantum particle is determined by the disorder and interference effects,
leading to interesting sharp features in conductance as the energy, disorder,
and boundary conditions are varied. To aid understanding of this phenomenon, we
develop a visualization method whereby the progression of a wave packet
entering the cluster through a lead on one side and exiting from another lead
on the other side can be tracked dynamically. Using this method, we investigate
the evolution of the wave packet through transmission and reflection under
clusters of various disorder, sizes, boundary conditions, and energies. Our
results indicate the existence of two different kinds of localized regimes,
namely exponential and power law localization, depending on the amount of
disorder. Our study further suggests that there may be a delocalized state in
the 2D quantum percolation system at very low disorder. These results are based
on a finite size scaling analysis of the systems of size up to 70 x 70
(containing 4900 sites) on the square lattice.
| cond-mat.dis-nn cond-mat.stat-mech | we study quantum percolation which is described by a tightbinding hamiltonian containing only offdiagonal hopping terms that are generally in quenched binary disorder zero or one in such a system transmission of a quantum particle is determined by the disorder and interference effects leading to interesting sharp features in conductance as the energy disorder and boundary conditions are varied to aid understanding of this phenomenon we develop a visualization method whereby the progression of a wave packet entering the cluster through a lead on one side and exiting from another lead on the other side can be tracked dynamically using this method we investigate the evolution of the wave packet through transmission and reflection under clusters of various disorder sizes boundary conditions and energies our results indicate the existence of two different kinds of localized regimes namely exponential and power law localization depending on the amount of disorder our study further suggests that there may be a delocalized state in the 2d quantum percolation system at very low disorder these results are based on a finite size scaling analysis of the systems of size up to 70 x 70 containing 4900 sites on the square lattice | [['we', 'study', 'quantum', 'percolation', 'which', 'is', 'described', 'by', 'a', 'tightbinding', 'hamiltonian', 'containing', 'only', 'offdiagonal', 'hopping', 'terms', 'that', 'are', 'generally', 'in', 'quenched', 'binary', 'disorder', 'zero', 'or', 'one', 'in', 'such', 'a', 'system', 'transmission', 'of', 'a', 'quantum', 'particle', 'is', 'determined', 'by', 'the', 'disorder', 'and', 'interference', 'effects', 'leading', 'to', 'interesting', 'sharp', 'features', 'in', 'conductance', 'as', 'the', 'energy', 'disorder', 'and', 'boundary', 'conditions', 'are', 'varied', 'to', 'aid', 'understanding', 'of', 'this', 'phenomenon', 'we', 'develop', 'a', 'visualization', 'method', 'whereby', 'the', 'progression', 'of', 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709.2951 | The population of AM CVn stars from the Sloan Digital Sky Survey | The AM Canum Venaticorum stars are rare interacting white dwarf binaries,
whose formation and evolution are still poorly known. The Sloan Digital Sky
Survey provides, for the first time, a sample of 6 AM CVn stars (out of a total
population of 18) that is sufficiently homogeneous that we can start to study
the population in some detail.
We use the Sloan sample to `calibrate' theoretical population synthesis
models for the space density of AM CVn stars. We consider optimistic and
pessimistic models for different theoretical formation channels, which yield
predictions for the local space density that are more than two orders of
magnitude apart. When calibrated with the observations, all models give a local
space density of 1-3x10^{-6} pc^{-3}, which is lower than expected.
We discuss the implications for the formation of AM CVn stars, and conclude
that at least one of the dominant formation channels (the double-degenerate
channel) has to be suppressed relative to the optimistic models. In the
framework of the current models this suggests that the mass transfer between
white dwarfs usually cannot be stabilized. We furthermore discuss evolutionary
effects that have so far not been considered in population synthesis models,
but which could be of influence for the observed population. We finish by
remarking that, with our lower space density, the expected number of Galactic
AM CVn stars resolvable by gravitational-wave detectors like LISA should be
lowered from current estimates, to about 1,000 for a mission duration of one
year.
| astro-ph | the am canum venaticorum stars are rare interacting white dwarf binaries whose formation and evolution are still poorly known the sloan digital sky survey provides for the first time a sample of 6 am cvn stars out of a total population of 18 that is sufficiently homogeneous that we can start to study the population in some detail we use the sloan sample to calibrate theoretical population synthesis models for the space density of am cvn stars we consider optimistic and pessimistic models for different theoretical formation channels which yield predictions for the local space density that are more than two orders of magnitude apart when calibrated with the observations all models give a local space density of 13x106 pc3 which is lower than expected we discuss the implications for the formation of am cvn stars and conclude that at least one of the dominant formation channels the doubledegenerate channel has to be suppressed relative to the optimistic models in the framework of the current models this suggests that the mass transfer between white dwarfs usually cannot be stabilized we furthermore discuss evolutionary effects that have so far not been considered in population synthesis models but which could be of influence for the observed population we finish by remarking that with our lower space density the expected number of galactic am cvn stars resolvable by gravitationalwave detectors like lisa should be lowered from current estimates to about 1000 for a mission duration of one year | [['the', 'am', 'canum', 'venaticorum', 'stars', 'are', 'rare', 'interacting', 'white', 'dwarf', 'binaries', 'whose', 'formation', 'and', 'evolution', 'are', 'still', 'poorly', 'known', 'the', 'sloan', 'digital', 'sky', 'survey', 'provides', 'for', 'the', 'first', 'time', 'a', 'sample', 'of', '6', 'am', 'cvn', 'stars', 'out', 'of', 'a', 'total', 'population', 'of', '18', 'that', 'is', 'sufficiently', 'homogeneous', 'that', 'we', 'can', 'start', 'to', 'study', 'the', 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709.2952 | Non-equilibrium microtubule fluctuations in a model cytoskeleton | Biological activity gives rise to non-equilibrium fluctuations in the
cytoplasm of cells; however, there are few methods to directly measure these
fluctuations. Using a reconstituted actin cytoskeleton, we show that the
bending dynamics of embedded microtubules can be used to probe local stress
fluctuations. We add myosin motors that drive the network out of equilibrium,
resulting in an increased amplitude and modified time-dependence of microtubule
bending fluctuations. We show that this behavior results from step-like forces
on the order of 10 pN driven by collective motor dynamics.
| cond-mat.soft cond-mat.stat-mech q-bio.SC | biological activity gives rise to nonequilibrium fluctuations in the cytoplasm of cells however there are few methods to directly measure these fluctuations using a reconstituted actin cytoskeleton we show that the bending dynamics of embedded microtubules can be used to probe local stress fluctuations we add myosin motors that drive the network out of equilibrium resulting in an increased amplitude and modified timedependence of microtubule bending fluctuations we show that this behavior results from steplike forces on the order of 10 pn driven by collective motor dynamics | [['biological', 'activity', 'gives', 'rise', 'to', 'nonequilibrium', 'fluctuations', 'in', 'the', 'cytoplasm', 'of', 'cells', 'however', 'there', 'are', 'few', 'methods', 'to', 'directly', 'measure', 'these', 'fluctuations', 'using', 'a', 'reconstituted', 'actin', 'cytoskeleton', 'we', 'show', 'that', 'the', 'bending', 'dynamics', 'of', 'embedded', 'microtubules', 'can', 'be', 'used', 'to', 'probe', 'local', 'stress', 'fluctuations', 'we', 'add', 'myosin', 'motors', 'that', 'drive', 'the', 'network', 'out', 'of', 'equilibrium', 'resulting', 'in', 'an', 'increased', 'amplitude', 'and', 'modified', 'timedependence', 'of', 'microtubule', 'bending', 'fluctuations', 'we', 'show', 'that', 'this', 'behavior', 'results', 'from', 'steplike', 'forces', 'on', 'the', 'order', 'of', '10', 'pn', 'driven', 'by', 'collective', 'motor', 'dynamics']] | [-0.16046957525521002, 0.21759258217232477, -0.09007155428501382, 0.02976566030049761, -0.01620731629088692, -0.1145540839435811, -0.004269980188544797, 0.38826487720783415, -0.3228152674761997, -0.23136166226247262, -0.018361829593242413, -0.2632692914493596, -0.26578272326753055, 0.16873360206319513, -0.042052486215600336, -0.02504366290509358, 0.03743614110795931, -0.016125927422324132, 0.09967504575816465, -0.15975896058197336, 0.20211530742289005, 0.05030311740421016, 0.3053891186805806, 0.044000829915227045, 0.12083914267948304, -0.08019545224184792, 0.049798617182278085, 0.0957874075774553, -0.187639362375361, 0.11867431913042205, 0.18726619051223428, 0.023538424304268998, 0.2465563411797643, -0.56909204497077, -0.23659782762500062, 0.10341159979031346, 0.1989253784085613, 0.1643387580306494, 0.0010276198636033926, -0.24977573003063255, 0.038273528084458636, -0.14500491595131226, -0.14485955744146786, -0.1321357946131036, 0.01836070536111278, 0.10964957035371456, -0.21556201519380355, 0.13319107775587116, 0.05903823301196098, 0.085009865387846, -0.08895978149048042, -0.021708691353513592, -0.07993093426821046, 0.16590209602613815, 0.08255637188752492, 0.037951833726410034, 0.37488108410382237, -0.13586679842569277, -0.0859492928774535, 0.3320793281255782, -0.07583589579016184, -0.19318057164474894, 0.18267265953198503, -0.1382395538030428, -0.138571884632967, 0.20577608665515637, 0.17923952442133564, 0.02484846258557391, -0.1590873466482809, -0.05376785353224874, 0.0458858112333578, 0.20370120123756685, 0.062289764746038735, -0.023955070857900655, 0.2182160578239923, 0.18644556409850632, 0.03785695838902531, 0.13449212568999408, -0.10221221468454206, -0.1277295029882727, -0.25864966642432685, -0.08774958790718825, -0.13879936016111197, 0.10780796868962118, -0.07057812190651438, -0.1570828785911074, 0.3831417536652037, 0.14778395683033627, 0.19691605283611122, 0.05252519367669506, 0.21529479826875458, 0.04411817349536323, 0.09523935382784313, 0.018660751096476084, 0.28331558759613285, 0.132792945959252, 0.12252488281128221, -0.30436887320976747, 0.07763114786203737, 0.018624216649981064] |
709.2953 | Quantum Entanglement Capacity with Classical Feedback | For any quantum discrete memoryless channel, we define a quantity called
quantum entanglement capacity with classical feedback ($E_B$), and we show that
this quantity lies between two other well-studied quantities. These two
quantities - namely the quantum capacity assisted by two-way classical
communication ($Q_2$) and the quantum capacity with classical feedback ($Q_B$)
- are widely conjectured to be different: there exists quantum discrete
memoryless channel for which $Q_2>Q_B$. We then present a general scheme to
convert any quantum error-correcting codes into adaptive protocols for this
newly-defined quantity of the quantum depolarizing channel, and illustrate with
Cat (repetition) code and Shor code. We contrast the present notion with
entanglement purification protocols by showing that whilst the Leung-Shor
protocol can be applied directly, recurrence methods need to be supplemented
with other techniques but at the same time offer a way to improve the
aforementioned Cat code. For the quantum depolarizing channel, we prove a
formula that gives lower bounds on the quantum capacity with classical feedback
from any $E_B$ protocols. We then apply this formula to the $E_B$ protocols
that we discuss to obtain new lower bounds on the quantum capacity with
classical feedback of the quantum depolarizing channel.
| quant-ph | for any quantum discrete memoryless channel we define a quantity called quantum entanglement capacity with classical feedback e_b and we show that this quantity lies between two other wellstudied quantities these two quantities namely the quantum capacity assisted by twoway classical communication q_2 and the quantum capacity with classical feedback q_b are widely conjectured to be different there exists quantum discrete memoryless channel for which q_2q_b we then present a general scheme to convert any quantum errorcorrecting codes into adaptive protocols for this newlydefined quantity of the quantum depolarizing channel and illustrate with cat repetition code and shor code we contrast the present notion with entanglement purification protocols by showing that whilst the leungshor protocol can be applied directly recurrence methods need to be supplemented with other techniques but at the same time offer a way to improve the aforementioned cat code for the quantum depolarizing channel we prove a formula that gives lower bounds on the quantum capacity with classical feedback from any e_b protocols we then apply this formula to the e_b protocols that we discuss to obtain new lower bounds on the quantum capacity with classical feedback of the quantum depolarizing channel | [['for', 'any', 'quantum', 'discrete', 'memoryless', 'channel', 'we', 'define', 'a', 'quantity', 'called', 'quantum', 'entanglement', 'capacity', 'with', 'classical', 'feedback', 'e_b', 'and', 'we', 'show', 'that', 'this', 'quantity', 'lies', 'between', 'two', 'other', 'wellstudied', 'quantities', 'these', 'two', 'quantities', 'namely', 'the', 'quantum', 'capacity', 'assisted', 'by', 'twoway', 'classical', 'communication', 'q_2', 'and', 'the', 'quantum', 'capacity', 'with', 'classical', 'feedback', 'q_b', 'are', 'widely', 'conjectured', 'to', 'be', 'different', 'there', 'exists', 'quantum', 'discrete', 'memoryless', 'channel', 'for', 'which', 'q_2q_b', 'we', 'then', 'present', 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709.2954 | The long-period AM CVn star SDSS J155252.48+320150.9 | The Sloan Digital Sky Survey has been instrumental in obtaining a homogeneous
sample of the rare AM CVn stars: mass-transferring binary white dwarfs. As part
of a campaign of spectroscopic follow-up on candidate AM CVn stars from the
Sloan Digital Sky Survey, we have obtained time-resolved spectra of the g=20.2
candidate SDSS J155252.48+320150.9 on the Very Large Telescope of the European
Southern Observatory. We report an orbital period of 3376.3+/-0.3 s, or
56.272+/-0.005 min, based on an observed `S-wave' in the helium emission lines
of the spectra. This confirms the ultracompact nature of the binary. Despite
its relative closeness to the orbital period minimum for hydrogen-rich donors,
there is no evidence for hydrogen in the spectra. We thus classify SDSS J1552
as a new bona fide AM CVn star, with the second-longest orbital period after
V396 Hya (P=65.5 min). The continuum of SDSS J1552 is compatible with either a
blackbody or helium atmosphere of 12,000-15,000 K. If this represents the
photosphere of the accreting white dwarf, as is expected, it puts the accretor
at the upper end of the temperature range predicted by thermal evolution
models. This suggests that SDSS J1552 consists of (or formerly consisted of)
relatively high-mass components.
| astro-ph | the sloan digital sky survey has been instrumental in obtaining a homogeneous sample of the rare am cvn stars masstransferring binary white dwarfs as part of a campaign of spectroscopic followup on candidate am cvn stars from the sloan digital sky survey we have obtained timeresolved spectra of the g202 candidate sdss j155252483201509 on the very large telescope of the european southern observatory we report an orbital period of 3376303 s or 562720005 min based on an observed swave in the helium emission lines of the spectra this confirms the ultracompact nature of the binary despite its relative closeness to the orbital period minimum for hydrogenrich donors there is no evidence for hydrogen in the spectra we thus classify sdss j1552 as a new bona fide am cvn star with the secondlongest orbital period after v396 hya p655 min the continuum of sdss j1552 is compatible with either a blackbody or helium atmosphere of 1200015000 k if this represents the photosphere of the accreting white dwarf as is expected it puts the accretor at the upper end of the temperature range predicted by thermal evolution models this suggests that sdss j1552 consists of or formerly consisted of relatively highmass components | [['the', 'sloan', 'digital', 'sky', 'survey', 'has', 'been', 'instrumental', 'in', 'obtaining', 'a', 'homogeneous', 'sample', 'of', 'the', 'rare', 'am', 'cvn', 'stars', 'masstransferring', 'binary', 'white', 'dwarfs', 'as', 'part', 'of', 'a', 'campaign', 'of', 'spectroscopic', 'followup', 'on', 'candidate', 'am', 'cvn', 'stars', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'we', 'have', 'obtained', 'timeresolved', 'spectra', 'of', 'the', 'g202', 'candidate', 'sdss', 'j155252483201509', 'on', 'the', 'very', 'large', 'telescope', 'of', 'the', 'european', 'southern', 'observatory', 'we', 'report', 'an', 'orbital', 'period', 'of', '3376303', 's', 'or', '562720005', 'min', 'based', 'on', 'an', 'observed', 'swave', 'in', 'the', 'helium', 'emission', 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709.2955 | Baryonic Acoustic Oscillations in 21cm Emission: A Probe of Dark Energy
out to High Redshifts | Low-frequency observatories are currently being constructed with the goal of
detecting redshifted 21cm emission from the epoch of reionization. These
observatories will also be able to detect intensity fluctuations in the
cumulative 21cm emission after reionization, from hydrogen in unresolved damped
Ly-alpha absorbers (such as gas rich galaxies) down to a redshift z~3.5. The
inferred power spectrum of 21cm fluctuations at all redshifts will show
acoustic oscillations, whose co-moving scale can be used as a standard ruler to
infer the evolution of the equation of state for the dark energy. We find that
the first generation of low-frequency experiments (such as MWA or LOFAR) will
be able to constrain the acoustic scale to within a few percent in a redshift
window just prior to the end of the reionization era, provided that foregrounds
can be removed over frequency band-passes of >8MHz. This sensitivity to the
acoustic scale is comparable to the best current measurements from galaxy
redshift surveys, but at much higher redshifts. Future extensions of the first
generation experiments (involving an order of magnitude increase in the
antennae number of the MWA) could reach sensitivities below one percent in
several redshift windows and could be used to study the dark energy in the
unexplored redshift regime of 3.5<z<12. Moreover, new experiments with antennae
designed to operate at higher frequencies would allow precision measurements
(<1%) of the acoustic peak to be made at more moderate redshifts (1.5<z<3.5),
where they would be competitive with ambitious spectroscopic galaxy surveys
covering more than 1000 square degrees. Together with other data sets,
observations of 21cm fluctuations will allow full coverage of the acoustic
scale from the present time out to z~12.
| astro-ph | lowfrequency observatories are currently being constructed with the goal of detecting redshifted 21cm emission from the epoch of reionization these observatories will also be able to detect intensity fluctuations in the cumulative 21cm emission after reionization from hydrogen in unresolved damped lyalpha absorbers such as gas rich galaxies down to a redshift z35 the inferred power spectrum of 21cm fluctuations at all redshifts will show acoustic oscillations whose comoving scale can be used as a standard ruler to infer the evolution of the equation of state for the dark energy we find that the first generation of lowfrequency experiments such as mwa or lofar will be able to constrain the acoustic scale to within a few percent in a redshift window just prior to the end of the reionization era provided that foregrounds can be removed over frequency bandpasses of 8mhz this sensitivity to the acoustic scale is comparable to the best current measurements from galaxy redshift surveys but at much higher redshifts future extensions of the first generation experiments involving an order of magnitude increase in the antennae number of the mwa could reach sensitivities below one percent in several redshift windows and could be used to study the dark energy in the unexplored redshift regime of 35z12 moreover new experiments with antennae designed to operate at higher frequencies would allow precision measurements 1 of the acoustic peak to be made at more moderate redshifts 15z35 where they would be competitive with ambitious spectroscopic galaxy surveys covering more than 1000 square degrees together with other data sets observations of 21cm fluctuations will allow full coverage of the acoustic scale from the present time out to z12 | [['lowfrequency', 'observatories', 'are', 'currently', 'being', 'constructed', 'with', 'the', 'goal', 'of', 'detecting', 'redshifted', '21cm', 'emission', 'from', 'the', 'epoch', 'of', 'reionization', 'these', 'observatories', 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709.2956 | The Phase Behavior of Mixed Lipid Membranes in Presence of the Rippled
Phase | We propose a model describing liquid-solid phase coexistence in mixed lipid
membranes by including explicitly the occurrence of a rippled phase. For a
single component membrane, we employ a previous model in which the membrane
thickness is used as an order parameter. As function of temperature, this model
properly accounts for the phase behavior of the three possible membrane phases:
solid, liquid and the rippled phase. Our primary aim is to explore extensions
of this model to binary lipid mixtures by considering the composition
dependence of important model parameters. The obtained phase diagrams show
various liquid, solid and rippled phase coexistence regions, and are in
quantitative agreement with the experimental ones for some specific lipid
mixtures.
| cond-mat.soft cond-mat.mtrl-sci | we propose a model describing liquidsolid phase coexistence in mixed lipid membranes by including explicitly the occurrence of a rippled phase for a single component membrane we employ a previous model in which the membrane thickness is used as an order parameter as function of temperature this model properly accounts for the phase behavior of the three possible membrane phases solid liquid and the rippled phase our primary aim is to explore extensions of this model to binary lipid mixtures by considering the composition dependence of important model parameters the obtained phase diagrams show various liquid solid and rippled phase coexistence regions and are in quantitative agreement with the experimental ones for some specific lipid mixtures | [['we', 'propose', 'a', 'model', 'describing', 'liquidsolid', 'phase', 'coexistence', 'in', 'mixed', 'lipid', 'membranes', 'by', 'including', 'explicitly', 'the', 'occurrence', 'of', 'a', 'rippled', 'phase', 'for', 'a', 'single', 'component', 'membrane', 'we', 'employ', 'a', 'previous', 'model', 'in', 'which', 'the', 'membrane', 'thickness', 'is', 'used', 'as', 'an', 'order', 'parameter', 'as', 'function', 'of', 'temperature', 'this', 'model', 'properly', 'accounts', 'for', 'the', 'phase', 'behavior', 'of', 'the', 'three', 'possible', 'membrane', 'phases', 'solid', 'liquid', 'and', 'the', 'rippled', 'phase', 'our', 'primary', 'aim', 'is', 'to', 'explore', 'extensions', 'of', 'this', 'model', 'to', 'binary', 'lipid', 'mixtures', 'by', 'considering', 'the', 'composition', 'dependence', 'of', 'important', 'model', 'parameters', 'the', 'obtained', 'phase', 'diagrams', 'show', 'various', 'liquid', 'solid', 'and', 'rippled', 'phase', 'coexistence', 'regions', 'and', 'are', 'in', 'quantitative', 'agreement', 'with', 'the', 'experimental', 'ones', 'for', 'some', 'specific', 'lipid', 'mixtures']] | [-0.12155078039584874, 0.19790816034407632, -0.07757014464105255, 0.011715071540775484, 0.014095722272157156, -0.12844313761412068, 0.054211574783227565, 0.3727442199396419, -0.233788466153281, -0.2814469117317991, 0.06827964727738711, -0.25564003310262645, -0.18819747322463784, 0.11912815207575352, -0.015433381769228083, 0.06607547055143093, -0.034449135609661584, -0.03360030107633692, -0.06408382771619002, -0.14029414545652327, 0.28809581744356144, 0.00491229105933473, 0.28593513559036215, 0.07080869940270124, 0.04737416629534986, -0.014385811252928949, 0.06778087966336772, 0.03426183344683899, -0.21514401969837088, 0.047948135559824454, 0.24458334848670096, -0.017601206268440802, 0.16275823536200512, -0.45409304931246003, -0.3256557046933549, 0.0856564784350259, 0.11911833670004351, 0.1312226536232127, -0.055580747121110045, -0.2316208285779355, 0.009874604646405527, -0.18212363532953094, -0.1401475939151012, -0.08246447466281724, -0.013005327283814228, 0.01499624600672115, -0.2336619272025238, 0.12926149450981156, 0.04254987988428309, 0.047281206253030866, -0.14365497791882734, -0.1345498178692149, -0.04378565587404441, 0.14271013529826726, 0.035448441204639025, 0.013105980546117342, 0.16541180063986444, -0.13853241520901693, -0.050754586484078476, 0.38555729724787946, -0.048437167823130005, -0.18881379647565813, 0.20439445921862176, -0.13273051450772166, -0.08846295195037564, 0.15129829623238666, 0.1299665170673538, 0.10079829067248723, -0.15513167084708554, 0.009018469552192356, -0.0018512171588773872, 0.23119755535675535, 0.04266799285060501, -0.04210244639780912, 0.28522259414452933, 0.2588529377886704, -0.02965454341329891, 0.22190936191954874, -0.09683436432708825, -0.1471675053035142, -0.2900722091856959, -0.1733253718582624, -0.1078403437237159, -0.07886436424651665, -0.11585819169616524, -0.22306199903210527, 0.4109916561283171, 0.10865652436053817, 0.2052908958312714, 0.003250051479473517, 0.2670862842772702, 0.030446757208194647, -0.0005952382725181764, -0.040223045908878076, 0.22130102207929353, 0.14075528480843158, 0.10513894221392171, -0.2346960397312771, 0.12152379242791633, 0.05329252323858311] |
709.2957 | Radio and gamma-ray emissions from pulsars: possible observational tests | Many models for the pulsar radio and $\gamma$-ray emissions have been
developed. The tests for these models using observational data are very
important. Tests for the pulsar radio emission models using frequency-altitude
relation are presented in this paper. In the radio band, the mean pulse
profiles evolve with observing frequencies. There are various styles of pulsar
profile - frequency evolutions (which we call as "beam evolution" figure), e.g.
some pulsars show that mean pulse profiles are wider and core emission is
higher at higher frequencies than that at lower frequencies, but some other
pulsars show completely the contrary results. We show that all these "beam
evolution" figures can be understood by the Inverse Compton Scattering(ICS)
model (see Qiao at al.2001 also). An important observing test is that, for a
certain observing frequency different emission components are radiated from the
different heights. For the $\gamma$-ray pulsars, the geometrical method (Wang
et al. 2006) can be used to diagnose the radiation location for the
$\gamma$-ray radiation. As an example, Wang et al. (2006) constrain the
$\gamma$-ray radiation location of PSR B1055-52 to be the place near the null
charge surface. Here we show that Wang's result matches the proposed radiation
locations by the annular gap model as well as the outer gap models.
| astro-ph | many models for the pulsar radio and gammaray emissions have been developed the tests for these models using observational data are very important tests for the pulsar radio emission models using frequencyaltitude relation are presented in this paper in the radio band the mean pulse profiles evolve with observing frequencies there are various styles of pulsar profile frequency evolutions which we call as beam evolution figure eg some pulsars show that mean pulse profiles are wider and core emission is higher at higher frequencies than that at lower frequencies but some other pulsars show completely the contrary results we show that all these beam evolution figures can be understood by the inverse compton scatteringics model see qiao at al2001 also an important observing test is that for a certain observing frequency different emission components are radiated from the different heights for the gammaray pulsars the geometrical method wang et al 2006 can be used to diagnose the radiation location for the gammaray radiation as an example wang et al 2006 constrain the gammaray radiation location of psr b105552 to be the place near the null charge surface here we show that wangs result matches the proposed radiation locations by the annular gap model as well as the outer gap models | [['many', 'models', 'for', 'the', 'pulsar', 'radio', 'and', 'gammaray', 'emissions', 'have', 'been', 'developed', 'the', 'tests', 'for', 'these', 'models', 'using', 'observational', 'data', 'are', 'very', 'important', 'tests', 'for', 'the', 'pulsar', 'radio', 'emission', 'models', 'using', 'frequencyaltitude', 'relation', 'are', 'presented', 'in', 'this', 'paper', 'in', 'the', 'radio', 'band', 'the', 'mean', 'pulse', 'profiles', 'evolve', 'with', 'observing', 'frequencies', 'there', 'are', 'various', 'styles', 'of', 'pulsar', 'profile', 'frequency', 'evolutions', 'which', 'we', 'call', 'as', 'beam', 'evolution', 'figure', 'eg', 'some', 'pulsars', 'show', 'that', 'mean', 'pulse', 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709.2958 | Denaturation transition of stretched DNA | We generalize the Poland-Scheraga model to consider DNA denaturation in the
presence of an external stretching force. We demonstrate the existence of a
force-induced DNA denaturation transition and obtain the temperature-force
phase diagram. The transition is determined by the loop exponent $c$ for which
we find the new value $c=4\nu-1/2$ such that the transition is second order
with $c=1.85<2$ in $d=3$. We show that a finite stretching force $F$
destabilizes DNA, corresponding to a lower melting temperature $T(F)$, in
agreement with single-molecule DNA stretching experiments.
| cond-mat.soft cond-mat.stat-mech q-bio.BM | we generalize the polandscheraga model to consider dna denaturation in the presence of an external stretching force we demonstrate the existence of a forceinduced dna denaturation transition and obtain the temperatureforce phase diagram the transition is determined by the loop exponent c for which we find the new value c4nu12 such that the transition is second order with c1852 in d3 we show that a finite stretching force f destabilizes dna corresponding to a lower melting temperature tf in agreement with singlemolecule dna stretching experiments | [['we', 'generalize', 'the', 'polandscheraga', 'model', 'to', 'consider', 'dna', 'denaturation', 'in', 'the', 'presence', 'of', 'an', 'external', 'stretching', 'force', 'we', 'demonstrate', 'the', 'existence', 'of', 'a', 'forceinduced', 'dna', 'denaturation', 'transition', 'and', 'obtain', 'the', 'temperatureforce', 'phase', 'diagram', 'the', 'transition', 'is', 'determined', 'by', 'the', 'loop', 'exponent', 'c', 'for', 'which', 'we', 'find', 'the', 'new', 'value', 'c4nu12', 'such', 'that', 'the', 'transition', 'is', 'second', 'order', 'with', 'c1852', 'in', 'd3', 'we', 'show', 'that', 'a', 'finite', 'stretching', 'force', 'f', 'destabilizes', 'dna', 'corresponding', 'to', 'a', 'lower', 'melting', 'temperature', 'tf', 'in', 'agreement', 'with', 'singlemolecule', 'dna', 'stretching', 'experiments']] | [-0.17611640983647325, 0.20331296052733328, -0.05051944130270674, 0.009515317648126766, -0.014501652138722242, -0.1545510845338335, 0.08926135775201567, 0.3648540260520105, -0.28357927653393367, -0.20710213595955837, -0.0006194855413036194, -0.2670843455849624, -0.1845388632585726, 0.14251388417182081, 0.02413857234187606, -0.0050839507816041385, 0.007219292416532592, 0.06497665082967681, -0.024483402765060707, -0.15062855510325057, 0.24537260470366695, 0.033025619867059014, 0.294350469882441, 0.09783633748103478, 0.04515488913691625, -0.05383454871977248, 0.09651557388488294, 0.015811113521411287, -0.2858772406579214, 0.0849422240706456, 0.19555587861005488, -0.007138790346954654, 0.19360806715742843, -0.4083517806649935, -0.24382337490550993, 0.11519761907970305, 0.13417025006989516, 0.18630455605112153, -0.06155507310816064, -0.22493343000731816, 0.06478118267557698, -0.12226317947014893, -0.09670257782449991, -0.09565055393045996, 0.022778547062288698, 0.05960199379975476, -0.266434389052958, 0.12585253774177102, 0.06563258112589943, 0.11063688557322432, -0.08857683427972583, -0.06022108321805007, -0.02834903134782685, 0.12595154610235335, 0.05721045793999532, 0.09527218446317243, 0.22592207621896593, -0.11435074619835288, -0.10463562334047222, 0.37000725084416025, -0.11822613866051386, -0.11527889708685973, 0.15256700214998023, -0.15611122615589965, -0.13642445483199525, 0.17722230355209875, 0.0365921343199727, 0.08371163691712044, -0.09731620404778457, 0.057059240753893035, 0.02706000207718916, 0.21982283399599353, 0.12499607638058412, -0.10230589039113, 0.18836435090421086, 0.17517184135617642, 0.02795578184162789, 0.2656073042464147, -0.1111994304285362, -0.16272662767413548, -0.2961169728191524, -0.16858097419097293, -0.1537302201556996, 0.04310905996982644, -0.09564185733094147, -0.21520848340559295, 0.31981824795295277, 0.12566763350013188, 0.23158426928084072, 0.0759703545254746, 0.22369944337732728, 0.06354028674796587, 0.05215962889473658, -0.008173952628744811, 0.21983199149779067, 0.09886280642879172, 0.07370560128304245, -0.3222751225740223, 0.059169575498189506, 0.10035567716468216] |
709.2959 | Monte Carlo Simulation for the MAGIC-II System | Within the year 2007, MAGIC will be upgraded to a two telescope system at La
Palma. Its main goal is to improve the sensitivity in the
stereoscopic/coincident operational mode. At the same time it will lower the
analysis threshold of the currently running single MAGIC telescope. Results
from the Monte Carlo simulations of this system will be discussed. A comparison
of the two telescope system with the performance of one single telescope will
be shown in terms of sensitivity, angular resolution and energy resolution.
| astro-ph | within the year 2007 magic will be upgraded to a two telescope system at la palma its main goal is to improve the sensitivity in the stereoscopiccoincident operational mode at the same time it will lower the analysis threshold of the currently running single magic telescope results from the monte carlo simulations of this system will be discussed a comparison of the two telescope system with the performance of one single telescope will be shown in terms of sensitivity angular resolution and energy resolution | [['within', 'the', 'year', '2007', 'magic', 'will', 'be', 'upgraded', 'to', 'a', 'two', 'telescope', 'system', 'at', 'la', 'palma', 'its', 'main', 'goal', 'is', 'to', 'improve', 'the', 'sensitivity', 'in', 'the', 'stereoscopiccoincident', 'operational', 'mode', 'at', 'the', 'same', 'time', 'it', 'will', 'lower', 'the', 'analysis', 'threshold', 'of', 'the', 'currently', 'running', 'single', 'magic', 'telescope', 'results', 'from', 'the', 'monte', 'carlo', 'simulations', 'of', 'this', 'system', 'will', 'be', 'discussed', 'a', 'comparison', 'of', 'the', 'two', 'telescope', 'system', 'with', 'the', 'performance', 'of', 'one', 'single', 'telescope', 'will', 'be', 'shown', 'in', 'terms', 'of', 'sensitivity', 'angular', 'resolution', 'and', 'energy', 'resolution']] | [-0.09412896589808031, 0.12038506675197418, -0.09966709807021432, 0.05863929103431573, -0.04014628160610256, -0.09937208718676345, 0.025270941117441797, 0.37293698979788514, -0.2051171827163682, -0.40533598081534167, 0.16662127862078507, -0.2921406786821513, -0.06356557584311588, 0.2536592458386019, -0.047070658039189424, 0.04611091604049553, 0.1835622580088002, 0.0027590952561158373, -0.07879146369151681, -0.2743122494016516, 0.2307892339416297, 0.2650249805077013, 0.269658173369917, 0.0040565716910613584, 0.11608322405155344, -0.0512432650914023, -0.014680724355380937, 0.0015709266425615333, -0.09489175439419517, 0.05614632229511458, 0.2561424135129495, 0.12395120600619948, 0.2538542560896421, -0.369398578485272, -0.11109106070979173, 0.07536566305165011, 0.11283231896757855, 0.048169632453516305, 0.03658113648542708, -0.3055679092228592, 0.04804534489900457, -0.18665717777176144, -0.19232997062604829, 0.03236604338309851, -0.05889928159135652, 0.03904234487787787, -0.21037918580583778, -0.047749277509339376, -0.04223845899105072, 0.03641356110393283, -0.04135854011654001, -0.1389669843301379, -0.01348085649289101, 0.13851837930690317, -0.03159912678284055, 0.04764289442023419, 0.05546832442036774, -0.08055548767800476, -0.08689791855054448, 0.31036098169005777, -0.08697965549002121, -0.09990898640938552, 0.1731468359490924, -0.2394608819902123, -0.17850331291668567, 0.16871342535063355, 0.18068923458950706, 0.1019935501088579, -0.1574358857259244, 0.08064385155617002, 0.017109185345022076, 0.23035129479480437, 0.055037140635863305, 0.05336389003927449, 0.21371687251053392, 0.2473886345053114, 0.0983893460852195, 0.10803390771055213, -0.2199495700692915, -0.06849281036530633, -0.29439440625439206, -0.16819894452388567, -0.18738814196598447, 0.037630899907482494, -0.035285765066545134, -0.029181141429791137, 0.3904025223420327, 0.15828609216329922, 0.1221726314579866, 0.033451150182679475, 0.32190548610615444, 0.08936733568468726, 0.11222543659429234, -0.011505924412105456, 0.3369172487116183, 0.057432271326970624, 0.1675347041293799, -0.2503116039407765, -0.009656249517462698, 0.04366894932856492] |
709.296 | Exact Solvability of Two-Dimensional Real Singular Morse Potential | The supersymmetric approach in the form of second order intertwining
relations is used to prove the exact solvability of two-dimensional Schrodinger
equation with generalized two-dimensional Morse potential for $a_0=-1/2$. This
two-parametric model is not amenable to conventional separation of variables,
but it is completely integrable: the symmetry operator of fourth order in
momenta exists. All bound state energies are found explicitly, and all
corresponding wave functions are built analytically. By means of shape
invariance property, the result is extended to the hierarchy of Morse models
with arbitrary integer and half-integer values $a_k=-(k+1)/2.$
| hep-th math-ph math.MP quant-ph | the supersymmetric approach in the form of second order intertwining relations is used to prove the exact solvability of twodimensional schrodinger equation with generalized twodimensional morse potential for a_012 this twoparametric model is not amenable to conventional separation of variables but it is completely integrable the symmetry operator of fourth order in momenta exists all bound state energies are found explicitly and all corresponding wave functions are built analytically by means of shape invariance property the result is extended to the hierarchy of morse models with arbitrary integer and halfinteger values a_kk12 | [['the', 'supersymmetric', 'approach', 'in', 'the', 'form', 'of', 'second', 'order', 'intertwining', 'relations', 'is', 'used', 'to', 'prove', 'the', 'exact', 'solvability', 'of', 'twodimensional', 'schrodinger', 'equation', 'with', 'generalized', 'twodimensional', 'morse', 'potential', 'for', 'a_012', 'this', 'twoparametric', 'model', 'is', 'not', 'amenable', 'to', 'conventional', 'separation', 'of', 'variables', 'but', 'it', 'is', 'completely', 'integrable', 'the', 'symmetry', 'operator', 'of', 'fourth', 'order', 'in', 'momenta', 'exists', 'all', 'bound', 'state', 'energies', 'are', 'found', 'explicitly', 'and', 'all', 'corresponding', 'wave', 'functions', 'are', 'built', 'analytically', 'by', 'means', 'of', 'shape', 'invariance', 'property', 'the', 'result', 'is', 'extended', 'to', 'the', 'hierarchy', 'of', 'morse', 'models', 'with', 'arbitrary', 'integer', 'and', 'halfinteger', 'values', 'a_kk12']] | [-0.13546802414290782, 0.1521448137399812, -0.06811192856876405, 0.11044680625379372, -0.10207465899453222, -0.16489498488154714, -0.046835551488694255, 0.3332533416246156, -0.2730386739975394, -0.26660254760389474, 0.08137689760098091, -0.26757509279151825, -0.16433497724522436, 0.14592092815827537, 0.028963969017450627, 0.1254362862515276, 0.006288418129270712, 0.0738975592600412, -0.11051168018992949, -0.22852710459463216, 0.35116628262695376, -0.037832313776272095, 0.23341496322549635, 0.04424593888305046, 0.0885595344979275, -0.0040438938054389185, 0.04170269494016583, -0.016277901255167447, -0.1337573331688623, 0.11263153013123384, 0.2520468212416025, 0.03604088218851977, 0.1936104625468603, -0.3743265885245669, -0.17295891379139253, 0.1452005149561216, 0.13691010523157623, 0.0963177856794753, 0.0021054933927339183, -0.27639951753419834, 0.06554898165248252, -0.1776733557683426, -0.2345273000684536, -0.1184501475705714, 0.035469032624470334, 0.03355228982528078, -0.2845266322390391, 0.1308048777179895, 0.08866096251889817, 0.015853270160412967, -0.10194828784205838, -0.10120255052582822, -0.07400502802312865, 0.07114795897831465, 0.021696247124734558, 0.025092600087461236, 0.02170868359306561, -0.08150685101921497, -0.11043591954640451, 0.3879697930763711, -0.02257851137943402, -0.30571195110678673, 0.12583007678328142, -0.15575717733456537, -0.12355068758907882, 0.12852331109160742, 0.08105058169790677, 0.11538961256475566, -0.1531422810301512, 0.18245915946637659, -0.045939544184935524, 0.15467462894394174, 0.07136903225270273, 0.015914689810885178, 0.15210991949457062, 0.0755483196935729, 0.08335532877430483, 0.14327500038524413, 0.01699286968969218, -0.14918597765614863, -0.32805136594266354, -0.14298039334020218, -0.19688024068159143, 0.06473060386002084, -0.07224305001551869, -0.17053220769042496, 0.3897160656090089, 0.1096279948238529, 0.13834663507129466, 0.10544273762318951, 0.2086006500847781, 0.2282707534914652, 0.07416219927452422, 0.05177113168187194, 0.1946959226279632, 0.1777350272967961, 0.03659104207878584, -0.1926216357237286, -0.026687668088905433, 0.2057868823879859] |
709.2961 | Incremental Satisfiability and Implication for UTVPI Constraints | Unit two-variable-per-inequality (UTVPI) constraints form one of the largest
class of integer constraints which are polynomial time solvable (unless P=NP).
There is considerable interest in their use for constraint solving, abstract
interpretation, spatial databases, and theorem proving. In this paper we
develop a new incremental algorithm for UTVPI constraint satisfaction and
implication checking that requires O(m + n log n + p) time and O(n+m+p) space
to incrementally check satisfiability of m UTVPI constraints on n variables and
check implication of p UTVPI constraints.
| cs.DS cs.CG cs.LO | unit twovariableperinequality utvpi constraints form one of the largest class of integer constraints which are polynomial time solvable unless pnp there is considerable interest in their use for constraint solving abstract interpretation spatial databases and theorem proving in this paper we develop a new incremental algorithm for utvpi constraint satisfaction and implication checking that requires om n log n p time and onmp space to incrementally check satisfiability of m utvpi constraints on n variables and check implication of p utvpi constraints | [['unit', 'twovariableperinequality', 'utvpi', 'constraints', 'form', 'one', 'of', 'the', 'largest', 'class', 'of', 'integer', 'constraints', 'which', 'are', 'polynomial', 'time', 'solvable', 'unless', 'pnp', 'there', 'is', 'considerable', 'interest', 'in', 'their', 'use', 'for', 'constraint', 'solving', 'abstract', 'interpretation', 'spatial', 'databases', 'and', 'theorem', 'proving', 'in', 'this', 'paper', 'we', 'develop', 'a', 'new', 'incremental', 'algorithm', 'for', 'utvpi', 'constraint', 'satisfaction', 'and', 'implication', 'checking', 'that', 'requires', 'om', 'n', 'log', 'n', 'p', 'time', 'and', 'onmp', 'space', 'to', 'incrementally', 'check', 'satisfiability', 'of', 'm', 'utvpi', 'constraints', 'on', 'n', 'variables', 'and', 'check', 'implication', 'of', 'p', 'utvpi', 'constraints']] | [-0.20302661336027086, 0.02592783820582554, -0.0480146003421396, 0.07297228100942448, -0.16392945307306944, -0.2192548914521467, 0.10893922835966804, 0.30488078681519254, -0.29538922758074476, -0.39913287790841423, 0.1295971391024068, -0.20955027699237688, -0.08078520396084059, 0.15384938383649568, -0.035280964116100225, 0.0995906919679328, 0.047822600053041245, 0.03657199278022745, -0.0683713453967357, -0.3305133344954811, 0.2686845625052229, -0.04179284286510665, 0.1588909252343001, 0.04078675060300156, 0.08919495439622552, 0.04940903051174246, -0.03830969289992936, 0.055256300809196544, -0.1320996245985043, 0.09011025227373466, 0.2996660176315345, 0.2607977598599973, 0.27314998519141226, -0.44652705083135513, -0.11008248558500781, 0.19114036795217543, 0.126284910767572, 0.026394723849080037, -0.005003938249137719, -0.20550369491102174, 0.09697404488688335, -0.09498670718166977, -0.07951517353940289, -0.058417105487023946, 0.14169211953412741, -0.03203997492382769, -0.3259138049790636, -0.022367477710940876, 0.147046844282886, 0.025152458132060927, -0.05749868310522288, -0.14981131883105264, 0.03677799347206019, 0.022785501182079317, 0.02283941859350307, 0.0492842581064906, 0.050012369675096126, -0.0541509776172461, -0.11789298132644035, 0.37606644646730275, -0.027636458282358944, -0.1986697673186427, 0.09041725833667442, -0.09548383331857621, -0.3081754517566878, 0.09517409492400475, 0.1592305719736032, 0.1395205482647725, -0.09938647722592578, 0.23300698852108326, -0.10623803081689402, 0.22542271276470274, 0.09576251862454228, 0.05674471558013465, 0.13272001335863023, 0.15830640948261135, 0.11817507835803553, 0.11652690442278982, 0.03147430762182921, -0.05744841197738424, -0.31550174318253993, -0.1755854924558662, -0.1735161910764873, 0.02024325680686161, -0.1551488773598976, -0.11712145756464451, 0.2697479406342609, 0.13619274062220937, 0.14986473618773744, 0.1992079673349508, 0.2588758288417011, 0.1516004986828193, 0.00715055162581848, 0.09989969852031208, 0.09254387884866447, 0.1252435164875351, 0.04549560527157155, -0.21359642447787336, 0.09861564330058173, 0.11361875858274288] |
709.2962 | Algebraic characterization of logically defined tree languages | We give an algebraic characterization of the tree languages that are defined
by logical formulas using certain Lindstr\"om quantifiers. An important
instance of our result concerns first-order definable tree languages. Our
characterization relies on the usage of preclones, an algebraic structure
introduced by the authors in a previous paper, and of the block product
operation on preclones. Our results generalize analogous results on finite word
languages, but it must be noted that, as they stand, they do not yield an
algorithm to decide whether a given regular tree language is first-order
definable.
| cs.LO math.LO | we give an algebraic characterization of the tree languages that are defined by logical formulas using certain lindstrom quantifiers an important instance of our result concerns firstorder definable tree languages our characterization relies on the usage of preclones an algebraic structure introduced by the authors in a previous paper and of the block product operation on preclones our results generalize analogous results on finite word languages but it must be noted that as they stand they do not yield an algorithm to decide whether a given regular tree language is firstorder definable | [['we', 'give', 'an', 'algebraic', 'characterization', 'of', 'the', 'tree', 'languages', 'that', 'are', 'defined', 'by', 'logical', 'formulas', 'using', 'certain', 'lindstrom', 'quantifiers', 'an', 'important', 'instance', 'of', 'our', 'result', 'concerns', 'firstorder', 'definable', 'tree', 'languages', 'our', 'characterization', 'relies', 'on', 'the', 'usage', 'of', 'preclones', 'an', 'algebraic', 'structure', 'introduced', 'by', 'the', 'authors', 'in', 'a', 'previous', 'paper', 'and', 'of', 'the', 'block', 'product', 'operation', 'on', 'preclones', 'our', 'results', 'generalize', 'analogous', 'results', 'on', 'finite', 'word', 'languages', 'but', 'it', 'must', 'be', 'noted', 'that', 'as', 'they', 'stand', 'they', 'do', 'not', 'yield', 'an', 'algorithm', 'to', 'decide', 'whether', 'a', 'given', 'regular', 'tree', 'language', 'is', 'firstorder', 'definable']] | [-0.10890339416168306, 0.07108313084704011, -0.09471198442675498, 0.1150492331400291, -0.1569155846929947, -0.11579961241627841, 0.08175501099954684, 0.3691534820701117, -0.2958590984546944, -0.2499141432547375, 0.10384926068186558, -0.22223621200385463, -0.15808579829931463, 0.23842618910155422, -0.15403225772388396, 0.026517672251667016, 0.06261433223414276, 0.10819643393725804, -0.04247452713215076, -0.31812548355715675, 0.3483166426278489, 0.0030644372834459596, 0.2385718969365015, 0.0608906015961269, 0.0675297252094859, 0.022264853803157483, -0.053215709049254656, 0.04579496385691607, -0.14818996820758912, 0.10469919846028737, 0.3575030392638165, 0.24563377536327133, 0.23376026780233192, -0.4215633456757211, -0.12354195052656629, 0.1006801019172164, 0.11469481138856677, 0.09016429407157651, 0.0017660117174154552, -0.29982676531147695, 0.10040161268704612, -0.1793945964689002, -0.043243427062407136, -0.11118335074380688, 0.01129372975708026, 0.01243230341123822, -0.20128455366015577, -0.06567751608141091, 0.23342313601270967, 0.11261276810672945, -0.029715508883110368, -0.11269819407227813, 0.02310858968311273, 0.11146213137038538, -0.032551893774602235, 0.053436309114382, 0.08314543413302011, -0.025320449272049187, -0.22030459659214577, 0.3511808994833542, -0.04243013749731725, -0.22053673926173992, 0.19126904788730748, -0.07248003833481799, -0.20046776949691222, 0.06828998851731581, 0.08668586058015733, 0.13064840640467795, -0.12354089947399663, 0.13311485727077207, -0.1285816990142769, 0.20248013933229705, 0.16063412184239892, 0.007398209666185405, 0.13600976607235876, 0.14109137902825908, 0.05980871417104145, 0.14484427499195116, 0.09407635597238803, -0.05093691723026416, -0.298671940721207, -0.13549353605460213, -0.1434020477488799, 0.006578486076329643, -0.10357874879881147, -0.2637428016320843, 0.35192770512936555, 0.1372764718291127, 0.12792688651698764, 0.1559895810003028, 0.2487602628610583, 0.13516657487944822, 0.07996671149790611, 0.08317407447485374, 0.10120612245215022, 0.13700372734329785, 0.03315820967596348, -0.12202280755256019, 0.1421877708002601, 0.14151579286376742] |
709.2963 | Order 1 autoregressive process of finite length | The stochastic processes of finite length defined by recurrence relations
request additional relations specifying the first terms of the process
analogously to the initial conditions for the differential equations. As a
general rule, in time series theory one analyzes only stochastic processes of
infinite length which need no such initial conditions and their properties are
less difficult to be determined. In this paper we compare the properties of the
order 1 autoregressive processes of finite and infinite length and we prove
that the time series length has an important influence mainly if the serial
correlation is significant. These different properties can manifest themselves
as transient effects produced when a time series is numerically generated. We
show that for an order 1 autoregressive process the transient behavior can be
avoided if the first term is a Gaussian random variable with standard deviation
equal to that of the theoretical infinite process and not to that of the white
noise innovation.
| physics.data-an | the stochastic processes of finite length defined by recurrence relations request additional relations specifying the first terms of the process analogously to the initial conditions for the differential equations as a general rule in time series theory one analyzes only stochastic processes of infinite length which need no such initial conditions and their properties are less difficult to be determined in this paper we compare the properties of the order 1 autoregressive processes of finite and infinite length and we prove that the time series length has an important influence mainly if the serial correlation is significant these different properties can manifest themselves as transient effects produced when a time series is numerically generated we show that for an order 1 autoregressive process the transient behavior can be avoided if the first term is a gaussian random variable with standard deviation equal to that of the theoretical infinite process and not to that of the white noise innovation | [['the', 'stochastic', 'processes', 'of', 'finite', 'length', 'defined', 'by', 'recurrence', 'relations', 'request', 'additional', 'relations', 'specifying', 'the', 'first', 'terms', 'of', 'the', 'process', 'analogously', 'to', 'the', 'initial', 'conditions', 'for', 'the', 'differential', 'equations', 'as', 'a', 'general', 'rule', 'in', 'time', 'series', 'theory', 'one', 'analyzes', 'only', 'stochastic', 'processes', 'of', 'infinite', 'length', 'which', 'need', 'no', 'such', 'initial', 'conditions', 'and', 'their', 'properties', 'are', 'less', 'difficult', 'to', 'be', 'determined', 'in', 'this', 'paper', 'we', 'compare', 'the', 'properties', 'of', 'the', 'order', '1', 'autoregressive', 'processes', 'of', 'finite', 'and', 'infinite', 'length', 'and', 'we', 'prove', 'that', 'the', 'time', 'series', 'length', 'has', 'an', 'important', 'influence', 'mainly', 'if', 'the', 'serial', 'correlation', 'is', 'significant', 'these', 'different', 'properties', 'can', 'manifest', 'themselves', 'as', 'transient', 'effects', 'produced', 'when', 'a', 'time', 'series', 'is', 'numerically', 'generated', 'we', 'show', 'that', 'for', 'an', 'order', '1', 'autoregressive', 'process', 'the', 'transient', 'behavior', 'can', 'be', 'avoided', 'if', 'the', 'first', 'term', 'is', 'a', 'gaussian', 'random', 'variable', 'with', 'standard', 'deviation', 'equal', 'to', 'that', 'of', 'the', 'theoretical', 'infinite', 'process', 'and', 'not', 'to', 'that', 'of', 'the', 'white', 'noise', 'innovation']] | [-0.12580092437270604, 0.17373636699317738, -0.09677360461482519, 0.10730848453854551, -0.06539681769872108, -0.10038396961326841, 0.014430375810995509, 0.376270349031385, -0.3357100517052827, -0.23749177135774702, 0.13657512319940318, -0.2620706198194736, -0.1558914540241225, 0.181230420612176, -0.026067571343170313, 0.06964482995165701, 0.031734849071377726, 0.05936715704399232, -0.058261594393208056, -0.268863535701309, 0.3156650063546398, 0.05127605742368187, 0.23691491954488372, 0.006205289630525851, 0.12896122604820737, 0.005183209756483571, -0.04469005132824937, 0.02761401384007893, -0.10758905914480227, 0.043005447875991275, 0.21194881843285093, 0.0903671444084236, 0.2871905901716857, -0.44334728163048104, -0.2144513782555874, 0.13981855757935327, 0.14529328338493877, 0.07181123605431235, 0.011519641089371016, -0.23501624906718543, 0.12373413632718162, -0.15816217552519793, -0.1298346363532628, -0.043086793043803945, 0.06461126017649481, 0.05716095958347137, -0.2946529727682613, 0.08120996390080339, 0.12288464677315264, 0.04371746855233855, -0.02265914454113079, -0.08011754876801366, -0.0006783836804141727, 0.14520310156015662, 0.07388219368276393, -0.03253805558079311, 0.0851437931856777, -0.09943466178654352, -0.1332493530828771, 0.3459690039114632, -0.10683610812684262, -0.21933819626032852, 0.16609986802736956, -0.1552335014389946, -0.13269587957205933, 0.12517569820349447, 0.17304786936014513, 0.12006867390871638, -0.19039015165617457, 0.05543687433752974, -0.0019777090527423762, 0.1785943741627226, 0.06054753305897399, 0.04053273377166412, 0.1475445946450662, 0.1356597107914689, 0.03810876087415256, 0.1355472790899604, -0.04802813263657161, -0.11013356750665963, -0.34465698623157376, -0.14233542132026317, -0.15841180826478365, 0.059471257121683115, -0.12170852215178134, -0.19029984301946398, 0.3566914250752948, 0.1644706798487496, 0.2012544430120365, 0.06938758733036893, 0.27173903095241214, 0.20329943477158446, 0.03552971824213768, 0.04927622265760091, 0.15680224212664592, 0.10438393485361026, 0.06234120362426473, -0.20430262223522686, 0.13798428120244813, 0.054501044575738004] |
709.2964 | Variational formulation of ideal fluid flows according to gauge
principle | On the basis of the gauge principle of field theory, a new variational
formulation is presented for flows of an ideal fluid. The fluid is defined
thermodynamically by mass density and entropy density, and its flow fields are
characterized by symmetries of translation and rotation. The rotational
transformations are regarded as gauge transformations as well as the
translational ones. In addition to the Lagrangians representing the translation
symmetry, a structure of rotation symmetry is equipped with a Lagrangian
$\Lambda_A$ including the vorticity and a vector potential bilinearly. Euler's
equation of motion is derived from variations according to the action
principle. In addition, the equations of continuity and entropy are derived
from the variations. Equations of conserved currents are deduced as the Noether
theorem in the space of Lagrangian coordinate $\ba$. Without $\Lambda_A$, the
action principle results in the Clebsch solution with vanishing helicity. The
Lagrangian $\Lambda_A$ yields non-vanishing vorticity and provides a source
term of non-vanishing helicity. The vorticity equation is derived as an
equation of the gauge field, and the $\Lambda_A$ characterizes topology of the
field. The present formulation is comprehensive and provides a consistent basis
for a unique transformation between the Lagrangian $\ba$ space and the Eulerian
$\bx$ space. In contrast, with translation symmetry alone, there is an
arbitrariness in the ransformation between these spaces.
| nlin.CD | on the basis of the gauge principle of field theory a new variational formulation is presented for flows of an ideal fluid the fluid is defined thermodynamically by mass density and entropy density and its flow fields are characterized by symmetries of translation and rotation the rotational transformations are regarded as gauge transformations as well as the translational ones in addition to the lagrangians representing the translation symmetry a structure of rotation symmetry is equipped with a lagrangian lambda_a including the vorticity and a vector potential bilinearly eulers equation of motion is derived from variations according to the action principle in addition the equations of continuity and entropy are derived from the variations equations of conserved currents are deduced as the noether theorem in the space of lagrangian coordinate ba without lambda_a the action principle results in the clebsch solution with vanishing helicity the lagrangian lambda_a yields nonvanishing vorticity and provides a source term of nonvanishing helicity the vorticity equation is derived as an equation of the gauge field and the lambda_a characterizes topology of the field the present formulation is comprehensive and provides a consistent basis for a unique transformation between the lagrangian ba space and the eulerian bx space in contrast with translation symmetry alone there is an arbitrariness in the ransformation between these spaces | [['on', 'the', 'basis', 'of', 'the', 'gauge', 'principle', 'of', 'field', 'theory', 'a', 'new', 'variational', 'formulation', 'is', 'presented', 'for', 'flows', 'of', 'an', 'ideal', 'fluid', 'the', 'fluid', 'is', 'defined', 'thermodynamically', 'by', 'mass', 'density', 'and', 'entropy', 'density', 'and', 'its', 'flow', 'fields', 'are', 'characterized', 'by', 'symmetries', 'of', 'translation', 'and', 'rotation', 'the', 'rotational', 'transformations', 'are', 'regarded', 'as', 'gauge', 'transformations', 'as', 'well', 'as', 'the', 'translational', 'ones', 'in', 'addition', 'to', 'the', 'lagrangians', 'representing', 'the', 'translation', 'symmetry', 'a', 'structure', 'of', 'rotation', 'symmetry', 'is', 'equipped', 'with', 'a', 'lagrangian', 'lambda_a', 'including', 'the', 'vorticity', 'and', 'a', 'vector', 'potential', 'bilinearly', 'eulers', 'equation', 'of', 'motion', 'is', 'derived', 'from', 'variations', 'according', 'to', 'the', 'action', 'principle', 'in', 'addition', 'the', 'equations', 'of', 'continuity', 'and', 'entropy', 'are', 'derived', 'from', 'the', 'variations', 'equations', 'of', 'conserved', 'currents', 'are', 'deduced', 'as', 'the', 'noether', 'theorem', 'in', 'the', 'space', 'of', 'lagrangian', 'coordinate', 'ba', 'without', 'lambda_a', 'the', 'action', 'principle', 'results', 'in', 'the', 'clebsch', 'solution', 'with', 'vanishing', 'helicity', 'the', 'lagrangian', 'lambda_a', 'yields', 'nonvanishing', 'vorticity', 'and', 'provides', 'a', 'source', 'term', 'of', 'nonvanishing', 'helicity', 'the', 'vorticity', 'equation', 'is', 'derived', 'as', 'an', 'equation', 'of', 'the', 'gauge', 'field', 'and', 'the', 'lambda_a', 'characterizes', 'topology', 'of', 'the', 'field', 'the', 'present', 'formulation', 'is', 'comprehensive', 'and', 'provides', 'a', 'consistent', 'basis', 'for', 'a', 'unique', 'transformation', 'between', 'the', 'lagrangian', 'ba', 'space', 'and', 'the', 'eulerian', 'bx', 'space', 'in', 'contrast', 'with', 'translation', 'symmetry', 'alone', 'there', 'is', 'an', 'arbitrariness', 'in', 'the', 'ransformation', 'between', 'these', 'spaces']] | [-0.18690019031591748, 0.15214169206072775, -0.09266296832946726, 0.047912368458086274, -0.07852305255697242, -0.07774899259192465, -0.035472323065988444, 0.296461636204839, -0.28746401441759917, -0.2674024129277825, 0.05571726460974397, -0.23988974921422482, -0.1019376570751573, 0.13805351146574085, -0.04658104997334255, 0.0477571410343184, -0.004063277633019512, 0.07873710624075361, -0.11665952825180602, 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709.2965 | False Vacuum in the Supersymmetric Mass Varying Neutrinos Model | We present detailed analyses of the vacuum structure of the scalar potential
in a supersymmetric Mass Varying Neutrinos model. The observed dark energy
density is identified with false vacuum energy and the dark energy scale of
order $(10^{-3}eV)^4$ is understood by gravitationally suppressed supersymmetry
breaking scale, $F({TeV})^2/M_{Pl}$, in the model. The vacuum expectation
values of sneutrinos should be tiny in order that the model works. Some decay
processes of superparticles into acceleron and sterile neutrino are also
discussed in the model.
| hep-ph | we present detailed analyses of the vacuum structure of the scalar potential in a supersymmetric mass varying neutrinos model the observed dark energy density is identified with false vacuum energy and the dark energy scale of order 103ev4 is understood by gravitationally suppressed supersymmetry breaking scale ftev2m_pl in the model the vacuum expectation values of sneutrinos should be tiny in order that the model works some decay processes of superparticles into acceleron and sterile neutrino are also discussed in the model | [['we', 'present', 'detailed', 'analyses', 'of', 'the', 'vacuum', 'structure', 'of', 'the', 'scalar', 'potential', 'in', 'a', 'supersymmetric', 'mass', 'varying', 'neutrinos', 'model', 'the', 'observed', 'dark', 'energy', 'density', 'is', 'identified', 'with', 'false', 'vacuum', 'energy', 'and', 'the', 'dark', 'energy', 'scale', 'of', 'order', '103ev4', 'is', 'understood', 'by', 'gravitationally', 'suppressed', 'supersymmetry', 'breaking', 'scale', 'ftev2m_pl', 'in', 'the', 'model', 'the', 'vacuum', 'expectation', 'values', 'of', 'sneutrinos', 'should', 'be', 'tiny', 'in', 'order', 'that', 'the', 'model', 'works', 'some', 'decay', 'processes', 'of', 'superparticles', 'into', 'acceleron', 'and', 'sterile', 'neutrino', 'are', 'also', 'discussed', 'in', 'the', 'model']] | [-0.1349854921108654, 0.2886763535133457, -0.03220437658078308, 0.2135507123503551, -0.03696967656370488, -0.12417341808823845, -0.0038608116233320553, 0.3154796190984264, -0.18664724117032946, -0.3562554610020752, 0.04178789960031834, -0.24881199176741553, -0.015562953898989701, 0.09189148766469045, 0.04370937263003633, 0.053106742762390205, 0.013120287923213047, 0.024675332180731282, -0.01993567599396257, -0.23927251823376156, 0.33149570937834305, 0.11938908721520743, 0.1905244907505716, 0.0751438308625093, 0.05738402848851077, -0.0948768792220073, -0.022079107133506595, -0.0494445945148038, -0.13498840864522668, 0.04340328356321854, 0.14183133011212265, 0.07472767473398885, 0.16818319566406403, -0.4063834745106818, -0.22144160983211633, 0.19256862383807385, 0.1535670124053295, 0.11623238226917537, -0.0897126584962199, -0.34201079081225244, 0.06565479360096439, -0.17526893131434917, -0.15255868535701045, -0.05605381329932922, -0.08487112179422114, -0.08295948485124714, -0.27418814527380714, 0.15999740542205865, -0.06047203257397006, -0.0767297125244631, -0.09972621119121396, -0.14084626533550834, -0.07833619599666776, -0.012413112434876871, 0.20624245011212328, -0.050800080270406237, 0.17985030569878843, -0.2035996414414501, -0.08729079951196202, 0.4119867489708564, -0.1274805841024352, -0.15827988879165694, 0.08915172091720602, -0.15567598023888055, -0.12822947741332877, 0.17242097454970773, 0.1558941236308104, 0.0866530238462117, -0.14536545342025994, 0.1878505322678439, -0.042013036259567905, 0.19399306178092957, 0.037533323604707854, 0.06534011228764548, 0.31009751490517695, 0.20732148064748396, 0.02190603235665756, 0.039029016686291024, -0.05848029597155467, -0.09905936245370327, -0.4134814368584488, -0.12696890113285825, -0.1262817396723394, 0.04643362691578797, -0.0699276698608087, -0.10810923677739463, 0.429576740735741, 0.13279890564942284, 0.21658564561718627, 0.005956646287813783, 0.2953124770104791, 0.10694221568682903, 0.0888539404089598, 0.018609341316490988, 0.3385809976567037, 0.10476642321571236, 0.13158914951100661, -0.23619706670553248, -0.033896445196499175, 0.04280550787343255] |
709.2966 | Spin-Orbit Correlations and Single-Spin Asymmetries | Several examples for the role of orbital angular momentum and spin-orbit
correlations in hadron structure are discussed.
| hep-ph | several examples for the role of orbital angular momentum and spinorbit correlations in hadron structure are discussed | [['several', 'examples', 'for', 'the', 'role', 'of', 'orbital', 'angular', 'momentum', 'and', 'spinorbit', 'correlations', 'in', 'hadron', 'structure', 'are', 'discussed']] | [-0.24008868579917095, 0.20949379179407568, -0.0420783483697211, 0.208085174946224, -0.0488174743950367, -0.03889257044476621, -0.11798383114749894, 0.4301013103960192, -0.23485995631884127, -0.2976713513626772, -0.018682382651604712, -0.3149322435150252, -0.056939583710011316, 0.24859450823243925, 0.12688512278392033, 0.09244176959071089, 0.083000109421418, -0.0961202309905168, -0.11673023754402119, -0.21097973502679346, 0.40453478036557927, 0.101005389190772, 0.13272088511353908, 0.14557933851199992, 0.09650784073507085, 0.046866266632123905, -0.03198591926518608, -0.0033985080526155583, -0.10679446522365599, 0.06955187000772532, 0.26617317964487214, -0.06515277878326528, 0.20160334131351726, -0.38153256651233225, -0.1166788878138451, -0.02558321105864118, 0.1559369910015341, 0.16873335235697381, -0.12275062446646831, -0.22117809743127403, -0.05195565795635476, -0.26985402054646435, -0.17203294376240058, -0.23726611365290248, 0.09230304071131874, 0.05612177905790946, -0.23119553128216305, 0.10643400405259694, 0.1253107811379082, 0.1358478071496767, -0.06630039398613222, -0.2405209668966777, -0.16324779380332022, 0.04176018967786256, 0.10604167072211995, -0.0036854412242331926, 0.09530719698351972, -0.15237451536471353, -0.1336051486980389, 0.3842874648159041, 0.06599525712868747, -0.2711333397995023, 0.11080715750508449, -0.23474914613453782, -0.13975084701772122, 0.09388166490723104, 0.22652246912612634, 0.040164984981803334, -0.13797561999971925, 0.0904663619277177, 0.018752312123337212, 0.09159772599335103, 0.055680321995168924, 0.29329540207982063, 0.3151978277327383, 0.138583586386898, -0.04310141695553765, 0.07296762171694461, -0.209242149393129, -0.2112174901892157, -0.29768484392586875, -0.13506180404082818, -0.21395880789222085, -0.020820385947659174, -0.0679774998459513, -0.0032396752606419954, 0.4302848222501138, 0.10079516160904485, 0.2815459664253628, -0.11552862702485393, 0.24661068311508963, -0.006717312533189268, 0.045512456118183976, 0.03286499327377362, 0.32577217194963903, 0.23241808736587272, 0.1757176522822941, -0.36167412777157393, 0.040421037249924505, 0.0456585408982766] |
709.2967 | Least squares volatility change point estimation for partially observed
diffusion processes | A one dimensional diffusion process $X=\{X_t, 0\leq t \leq T\}$, with drift
$b(x)$ and diffusion coefficient $\sigma(\theta, x)=\sqrt{\theta} \sigma(x)$
known up to $\theta>0$, is supposed to switch volatility regime at some point
$t^*\in (0,T)$. On the basis of discrete time observations from $X$, the
problem is the one of estimating the instant of change in the volatility
structure $t^*$ as well as the two values of $\theta$, say $\theta_1$ and
$\theta_2$, before and after the change point. It is assumed that the sampling
occurs at regularly spaced times intervals of length $\Delta_n$ with
$n\Delta_n=T$. To work out our statistical problem we use a least squares
approach. Consistency, rates of convergence and distributional results of the
estimators are presented under an high frequency scheme. We also study the case
of a diffusion process with unknown drift and unknown volatility but constant.
| math.ST math.PR stat.AP stat.TH | a one dimensional diffusion process xx_t 0leq t leq t with drift bx and diffusion coefficient sigmatheta xsqrttheta sigmax known up to theta0 is supposed to switch volatility regime at some point tin 0t on the basis of discrete time observations from x the problem is the one of estimating the instant of change in the volatility structure t as well as the two values of theta say theta_1 and theta_2 before and after the change point it is assumed that the sampling occurs at regularly spaced times intervals of length delta_n with ndelta_nt to work out our statistical problem we use a least squares approach consistency rates of convergence and distributional results of the estimators are presented under an high frequency scheme we also study the case of a diffusion process with unknown drift and unknown volatility but constant | [['a', 'one', 'dimensional', 'diffusion', 'process', 'xx_t', '0leq', 't', 'leq', 't', 'with', 'drift', 'bx', 'and', 'diffusion', 'coefficient', 'sigmatheta', 'xsqrttheta', 'sigmax', 'known', 'up', 'to', 'theta0', 'is', 'supposed', 'to', 'switch', 'volatility', 'regime', 'at', 'some', 'point', 'tin', '0t', 'on', 'the', 'basis', 'of', 'discrete', 'time', 'observations', 'from', 'x', 'the', 'problem', 'is', 'the', 'one', 'of', 'estimating', 'the', 'instant', 'of', 'change', 'in', 'the', 'volatility', 'structure', 't', 'as', 'well', 'as', 'the', 'two', 'values', 'of', 'theta', 'say', 'theta_1', 'and', 'theta_2', 'before', 'and', 'after', 'the', 'change', 'point', 'it', 'is', 'assumed', 'that', 'the', 'sampling', 'occurs', 'at', 'regularly', 'spaced', 'times', 'intervals', 'of', 'length', 'delta_n', 'with', 'ndelta_nt', 'to', 'work', 'out', 'our', 'statistical', 'problem', 'we', 'use', 'a', 'least', 'squares', 'approach', 'consistency', 'rates', 'of', 'convergence', 'and', 'distributional', 'results', 'of', 'the', 'estimators', 'are', 'presented', 'under', 'an', 'high', 'frequency', 'scheme', 'we', 'also', 'study', 'the', 'case', 'of', 'a', 'diffusion', 'process', 'with', 'unknown', 'drift', 'and', 'unknown', 'volatility', 'but', 'constant']] | [-0.12009133138201213, 0.14494936721008422, -0.05424191939064126, 0.03207450599989713, -0.033643304641979434, -0.1755250909709898, 0.0733462939835221, 0.4272799809341845, -0.33372151849966875, -0.20833552286659024, 0.16398528692619604, -0.3038984259280066, -0.09109372197333183, 0.16481855641409376, -0.03452912020915444, 0.05275217286048312, -0.0014025348110421412, 0.06583465496415569, -0.06403760485978716, -0.2537855819336719, 0.2637742553108736, 0.02958935221819126, 0.2179840159184043, -0.01699001084130757, 0.1730454353475606, -0.01412375446628742, 0.0014951900929968426, -0.02544604341728964, -0.18423870744959128, 0.007570993519671585, 0.2132560870832885, 0.04886372404618432, 0.3098616595363136, -0.3394624388732853, -0.18697588578325466, 0.11679902149826639, 0.11266530024231938, 0.015467021128405695, 0.015324287348514612, -0.22419811620215035, 0.054360827549185226, -0.10035209207242166, -0.14178024597071193, -0.013763855413898178, 0.060498331987258534, 0.019145831029585468, -0.35541430887710507, 0.1343659243655671, 0.08296931598527843, 0.020202628229500093, -0.013900534848790561, -0.16167142459923617, -0.007074923349031504, 0.09261464656236162, 0.13091112901515706, 0.057331301843868976, 0.10506166543717077, -0.0636629374718156, -0.06721051920043386, 0.32875217722080974, -0.09522025342490795, -0.20285050330710583, 0.14216953043090313, -0.23008784758385972, -0.11671025542360124, 0.1453282735377982, 0.14492995610403275, 0.1538463219716821, -0.14025212973111606, 0.12128594634924557, -0.008315897202524155, 0.1417218008626124, 0.1002187972004269, -0.010154000954176097, 0.12358432511319879, 0.1510629352684929, 0.11604844722424404, 0.06484054710439312, -0.11436643119668588, -0.08010970572755416, -0.3426114718929149, -0.13449332085640534, -0.20146064682647694, 0.0930072667694691, -0.1482705537602432, -0.1443452302601013, 0.32953636861073365, 0.15490822655113373, 0.24000845093816178, 0.0875801975093107, 0.22038353244990003, 0.1473221395622797, -0.009694228514833241, 0.09661560046378577, 0.10870600892572523, 0.12081156498701918, 0.10231134825575071, -0.18655213940402735, 0.12625133469903274, 0.05135585534710275] |
709.2968 | Structure of the string link concordance group and Hirzebruch-type
invariants | We employ Hirzebruch-type invariants obtained from iterated p-covers to
investigate concordance of links and string links. We show that the invariants
naturally give various group homomorphisms of the string link concordance group
into L-groups over number fields. We also obtain homomorphisms of successive
quotients of the Cochran-Orr-Teichner filtration. As an application we show
that the kernel of Harvey's $\rho_n$-invariant is large enough to contain a
subgroup with infinite rank abelianization, modulo local knots. As another
application, we show that recently discovered nontrivial 2-torsion examples of
iterated Bing doubles lying at an arbitrary depth of the Cochran-Orr-Teichner
filtration are independent over $\Z_2$ as links, in an appropriate sense. We
also construct similar examples of infinite order links which are independent
over $\Z$.
| math.GT | we employ hirzebruchtype invariants obtained from iterated pcovers to investigate concordance of links and string links we show that the invariants naturally give various group homomorphisms of the string link concordance group into lgroups over number fields we also obtain homomorphisms of successive quotients of the cochranorrteichner filtration as an application we show that the kernel of harveys rho_ninvariant is large enough to contain a subgroup with infinite rank abelianization modulo local knots as another application we show that recently discovered nontrivial 2torsion examples of iterated bing doubles lying at an arbitrary depth of the cochranorrteichner filtration are independent over z_2 as links in an appropriate sense we also construct similar examples of infinite order links which are independent over z | [['we', 'employ', 'hirzebruchtype', 'invariants', 'obtained', 'from', 'iterated', 'pcovers', 'to', 'investigate', 'concordance', 'of', 'links', 'and', 'string', 'links', 'we', 'show', 'that', 'the', 'invariants', 'naturally', 'give', 'various', 'group', 'homomorphisms', 'of', 'the', 'string', 'link', 'concordance', 'group', 'into', 'lgroups', 'over', 'number', 'fields', 'we', 'also', 'obtain', 'homomorphisms', 'of', 'successive', 'quotients', 'of', 'the', 'cochranorrteichner', 'filtration', 'as', 'an', 'application', 'we', 'show', 'that', 'the', 'kernel', 'of', 'harveys', 'rho_ninvariant', 'is', 'large', 'enough', 'to', 'contain', 'a', 'subgroup', 'with', 'infinite', 'rank', 'abelianization', 'modulo', 'local', 'knots', 'as', 'another', 'application', 'we', 'show', 'that', 'recently', 'discovered', 'nontrivial', '2torsion', 'examples', 'of', 'iterated', 'bing', 'doubles', 'lying', 'at', 'an', 'arbitrary', 'depth', 'of', 'the', 'cochranorrteichner', 'filtration', 'are', 'independent', 'over', 'z_2', 'as', 'links', 'in', 'an', 'appropriate', 'sense', 'we', 'also', 'construct', 'similar', 'examples', 'of', 'infinite', 'order', 'links', 'which', 'are', 'independent', 'over', 'z']] | [-0.2166677885921672, 0.0976694786449419, -0.09933710482825214, 0.09069153412419836, -0.09527973005315289, -0.11674651483384271, 0.019165782713874552, 0.3545774352833784, -0.3401663564145565, -0.2644720599676172, 0.10365640763096357, -0.24194174234289675, -0.17562131677016926, 0.2173812154874516, -0.1269165174647545, -0.04485132002737373, 0.035636178844530755, 0.10796647508783887, -0.06858640018035658, -0.34037629794329405, 0.36197282023009997, -0.019909904000815003, 0.19303059052908794, 0.017030099876380215, 0.12212770542537328, 0.0009913685615174472, -0.0929130214053051, 0.02258248853419597, -0.19504406777262678, 0.08003114211217811, 0.283207460459865, 0.03689948394591435, 0.1498580755200237, -0.3707154039681579, -0.15070791476949427, 0.17900017669113974, 0.16263223720209982, 0.039729446226071254, -0.018632840871578082, -0.27559001883491874, 0.14724915783153847, -0.25550285074083756, -0.11827184011939001, -0.09731597956658031, 0.021847239808994345, 0.05316491466170798, -0.21507851566614894, -0.02206017899297876, 0.04806614545038125, 0.11790336142876186, -0.018177527065078417, -0.07433988370466978, -0.038933326297167996, 0.13331478921075662, 0.06235856512212194, 0.024802876473404466, 0.08212776820873842, -0.12251241863123141, -0.18358713860992187, 0.3430118545889854, -0.0869782022171421, -0.17704580138864306, 0.1717536487558391, -0.08940032729102919, -0.21084132152997578, 0.15758156986363853, 0.06589372791349887, 0.07854294664017895, -0.002441734631429426, 0.16152143757741821, -0.15222889635479078, 0.10360461534194959, 0.12191040361455331, 0.029764823549582313, 0.13791167991003023, 0.0296201903373003, 0.11069254085111122, 0.19372730862426882, -0.006454998945506911, -0.040299837310643245, -0.3615656874453028, -0.2208709144964814, -0.1114774678212901, 0.13512167434285705, -0.1349370398324633, -0.19068194788414985, 0.3812471091126402, 0.07311138237516085, 0.20813234875434622, 0.15818059969169554, 0.22729936335235834, 0.04850255686809154, 0.08059592433273792, 0.06189773903461173, 0.06862240339784573, 0.18833820311507832, -0.08894699591425402, -0.08555949250488387, -0.03587904484787335, 0.19648289912729525] |
709.2969 | Double prism evanescent mode experiment: superluminal photons? | A critique on the interpretation of the double prism experiment on the
evanescent microwave modes (arXiv:0708.0681) is presented. It is argued that
these experiments do not give any evidence of superluminal photons. A physical
mechanism based on the inhomogeneous waves of classical electromagnetic fields
is proposed.
| quant-ph | a critique on the interpretation of the double prism experiment on the evanescent microwave modes arxiv07080681 is presented it is argued that these experiments do not give any evidence of superluminal photons a physical mechanism based on the inhomogeneous waves of classical electromagnetic fields is proposed | [['a', 'critique', 'on', 'the', 'interpretation', 'of', 'the', 'double', 'prism', 'experiment', 'on', 'the', 'evanescent', 'microwave', 'modes', 'arxiv07080681', 'is', 'presented', 'it', 'is', 'argued', 'that', 'these', 'experiments', 'do', 'not', 'give', 'any', 'evidence', 'of', 'superluminal', 'photons', 'a', 'physical', 'mechanism', 'based', 'on', 'the', 'inhomogeneous', 'waves', 'of', 'classical', 'electromagnetic', 'fields', 'is', 'proposed']] | [-0.18140310428829656, 0.17276390025185215, -0.1321815251890156, 0.08327129143548923, -0.1805889788808094, -0.11143082943227556, 0.008657289096704011, 0.3629391916924053, -0.14089436973962519, -0.2627892060412301, 0.03659368277682613, -0.2715300908105241, -0.17847454311947028, 0.26869880290339804, 0.013058941707842879, 0.0011170396270851295, 0.07461104517181714, 0.034739374038245945, 0.04375669926715394, -0.16735775002485348, 0.29239997482962077, 0.09492122838273645, 0.35840801594571936, 0.08570312378514144, 0.13981468611293368, 0.012463543419208791, -0.07039718501683738, -0.02437792463848988, -0.11120983180670818, 0.06143390376948648, 0.18426950226227443, 0.14463796639918453, 0.2036339479498565, -0.4668349557866653, -0.2720895198587742, 0.08225891182406081, 0.1271463467946483, 0.14617637505547867, -0.0966433837156122, -0.30525980993277496, 0.01735401629573769, -0.0799471070472565, -0.11763625080800719, -0.02536376580182049, -0.012506271671089862, -0.01490565397673183, -0.2142237601387832, 0.04551224976053669, 0.11149781056835005, 0.009742596704098914, -0.033416665904223916, -0.05014752234435744, 0.018108210371186335, -0.017060281450135842, 0.03240657729976293, 0.0011978617558876673, 0.12028152350750235, -0.08051509062449137, -0.19506787475612428, 0.3641341235074732, -0.0511691313650873, -0.2062434692349699, 0.2007281882947104, -0.146248543738491, -0.041607044554418986, 0.13856410316915976, 0.11933371093538073, 0.08616530606523157, -0.09358445157607397, 0.08095352612435817, -0.11422036112182671, 0.2024109741465913, 0.07159224675657848, 0.06262396389825477, 0.265187602614363, 0.10033438992427869, -0.016490712166867323, 0.08401250476017594, -0.052721599370448124, -0.034639206321703066, -0.39078961859146755, -0.14725503741453091, -0.198570647287286, 0.056505850169924085, -0.037166191277598654, -0.1980691908962197, 0.3672577839758661, 0.15647521013161167, 0.1150816327581803, -0.051159501820802686, 0.33484985422756935, 0.1003493496734235, 0.09371494946794377, 0.01866665603592992, 0.37610168548093903, 0.16255231387913227, 0.10600141952745616, -0.2227769488779207, 0.037091554773764475, 0.020563266384932728] |
709.297 | Local gating of a graphene Hall bar by graphene side gates | We have investigated the magnetotransport properties of a single-layer
graphene Hall bar with additional graphene side gates. The side gating in the
absence of a magnetic field can be modeled by considering two parallel
conducting channels within the Hall bar. This results in an average penetration
depth of the side gate created field of approx. 90 nm. The side gates are also
effective in the quantum Hall regime, and allow to modify the longitudinal and
Hall resistances.
| cond-mat.mes-hall | we have investigated the magnetotransport properties of a singlelayer graphene hall bar with additional graphene side gates the side gating in the absence of a magnetic field can be modeled by considering two parallel conducting channels within the hall bar this results in an average penetration depth of the side gate created field of approx 90 nm the side gates are also effective in the quantum hall regime and allow to modify the longitudinal and hall resistances | [['we', 'have', 'investigated', 'the', 'magnetotransport', 'properties', 'of', 'a', 'singlelayer', 'graphene', 'hall', 'bar', 'with', 'additional', 'graphene', 'side', 'gates', 'the', 'side', 'gating', 'in', 'the', 'absence', 'of', 'a', 'magnetic', 'field', 'can', 'be', 'modeled', 'by', 'considering', 'two', 'parallel', 'conducting', 'channels', 'within', 'the', 'hall', 'bar', 'this', 'results', 'in', 'an', 'average', 'penetration', 'depth', 'of', 'the', 'side', 'gate', 'created', 'field', 'of', 'approx', '90', 'nm', 'the', 'side', 'gates', 'are', 'also', 'effective', 'in', 'the', 'quantum', 'hall', 'regime', 'and', 'allow', 'to', 'modify', 'the', 'longitudinal', 'and', 'hall', 'resistances']] | [-0.20474907390579775, 0.2093682244509631, -0.0487175951288505, -0.049813028245063666, 0.003363237813018359, -0.20841941618445245, 0.07415378694543494, 0.39093670350584114, -0.29563393632506396, -0.2858168792052122, 0.021885420160984936, -0.27011914074711213, -0.11829563404445524, 0.21966478419671584, -0.009797945004803214, 0.03330626082908991, -0.038993449736531675, -0.049653400331372756, -0.057238228861000634, -0.2480730844492262, 0.23385729333506777, 0.02796295914623596, 0.2824633124393302, 0.1058507938929773, 0.02750894811923628, 0.022327854515766944, 0.07125723150304773, 0.09979300554116051, -0.12723823375516125, 0.03566583310096682, 0.20021457665345885, -0.1329846833953513, 0.1786494481062831, -0.521651458575741, -0.152290545113675, -0.0706251532613457, 0.11943914480628325, 0.16712706372770783, -0.03604580198305768, -0.29727159048636237, 0.09004567562324273, -0.14084789446288987, -0.04505113841869034, 0.008870086221435628, 0.010007182707671414, -0.05759657796036888, -0.24493669307875363, 0.0604795826933129, 0.059647066373523176, 0.12039966814752136, -0.040637982071849044, -0.16766194856495825, -0.032215807127294604, 0.1202025435012221, -0.01913697768438172, 0.052490522782620674, 0.2407604696700809, -0.22981642832822324, -0.17004611179861542, 0.2747892790607044, -0.07212763120323516, -0.1632516798260924, 0.13426296911262847, -0.2068922345332995, 0.008159661877223036, 0.08904002206520988, 0.14507629037774228, 0.0658149646667691, -0.1301560601001823, 0.11015450578128508, -0.054848375934321285, 0.16271396174682184, 0.10004663683304732, 0.1020542751867687, 0.2731265403827737, 0.13888941281898456, 0.02910523644237259, 0.19318693398056527, -0.19004129229175637, -0.01835737902332436, -0.2689766435847654, -0.20416332100360812, -0.14928572296539877, 0.11414575796913017, -0.05900781515754409, -0.1795375470930783, 0.4096044461641993, 0.1764758165768694, 0.19369536614674446, -0.04353742874771744, 0.31481315709602137, 0.15790315409638472, 0.13159258411471525, 0.07902973779029661, 0.2540593153688234, 0.22468152233738115, 0.09704489329854002, -0.2817959902587335, 0.07728861095746617, -0.05885940849442373] |
709.2971 | New method for extracting quasi-bound states from the continuum | A new parameter-free method is proposed for treatment of single-particle
resonances in the real-energy continuum shell model. This method yields
quasi-bound states embedded in the continuum which provide a natural
generalization of weakly bound single-particle states.
| nucl-th | a new parameterfree method is proposed for treatment of singleparticle resonances in the realenergy continuum shell model this method yields quasibound states embedded in the continuum which provide a natural generalization of weakly bound singleparticle states | [['a', 'new', 'parameterfree', 'method', 'is', 'proposed', 'for', 'treatment', 'of', 'singleparticle', 'resonances', 'in', 'the', 'realenergy', 'continuum', 'shell', 'model', 'this', 'method', 'yields', 'quasibound', 'states', 'embedded', 'in', 'the', 'continuum', 'which', 'provide', 'a', 'natural', 'generalization', 'of', 'weakly', 'bound', 'singleparticle', 'states']] | [-0.03135035479337805, 0.09217910923891598, -0.16081108442611164, 0.12807843403425068, 0.021343407221138477, -0.1554258015886363, 0.08146802850791977, 0.31547800078988075, -0.15215876884758472, -0.2648203489888046, -0.09060748907763304, -0.2291289289585418, -0.14215661937163937, 0.11665867970764844, 0.0048505584709346294, 0.06390286857883136, 0.137943838412563, 0.003677890526887495, 0.011468989645234413, -0.11382315959781408, 0.30913993407092577, 0.02636566889446436, 0.27035272993250853, 0.1550854368445774, 0.02557448886283156, -0.0002708010272019439, 0.08249060801851253, -0.028034192173638277, -0.09639349052061637, 0.17126630307110544, 0.2483734350858463, 0.07766101744750308, 0.2457643382755729, -0.3947172705601487, -0.23133124131709337, -0.00027369079180061817, 0.18061986239627004, 0.1977605278597265, -0.02713964458153997, -0.3490427571814507, 0.008686259078482786, -0.2044956334349182, -0.20877302462597275, -0.13564504041439956, 0.0139744703968366, -0.09510968822158045, -0.28711578456891906, 0.14966861268557194, 0.08778685587134936, -0.00568966414680795, -0.12010749315636025, -0.1511095995342152, 0.0179129123636004, 0.019183633926634986, -0.08577138178710204, 0.0028225301971866023, 0.12143368518445641, -0.09036578656458813, -0.11986376580575274, 0.36098083657109076, -0.09392502872894208, -0.2579757918914159, 0.18563500072600114, -0.09699255116801295, -0.1182634639295025, 0.232799317377309, 0.15697075352202067, 0.18157918585671318, -0.1485013202764094, 0.0955442850633214, -0.1329112517543965, 0.1685082325194445, -0.009102648719110422, 0.10626756057091472, 0.17267134957688135, 0.2054774833506801, 0.05051968885689146, 0.15618681333338222, -0.0859658340147386, -0.13268735590908262, -0.31501877018147045, -0.14567013562999717, -0.2173226622140242, 0.012608533227143602, -0.004922685446217656, -0.26272595746235716, 0.41027972464346224, 0.04438174402134286, 0.2028760578121162, 0.044467879798806585, 0.25256737673448193, 0.16207970958203077, 0.03351217151309053, 0.07311344696467535, 0.2431239558952964, 0.180678539042775, -0.012039345769961882, -0.24842732145205243, -0.047401870186958045, 0.09835538662607884] |
709.2972 | Double Fell bundles over discrete double groupoids with folding | In this paper we construct the notions of double Fell bundle and double
C*-category for possible future use as tools to describe noncommutative spaces,
in particular in finite dimensions. We identify the algebra of sections of a
double Fell line bundle over a discrete double groupoid with folding with the
convolution algebra of the latter. This turns out to be what one might call a
double C*-algebra. We generalise the Gelfand-Naimark-Segal construction to
double C*-categories and we form the dual category for a saturated double Fell
bundle using the Tomita-Takesaki involution.
| math-ph math.MP | in this paper we construct the notions of double fell bundle and double ccategory for possible future use as tools to describe noncommutative spaces in particular in finite dimensions we identify the algebra of sections of a double fell line bundle over a discrete double groupoid with folding with the convolution algebra of the latter this turns out to be what one might call a double calgebra we generalise the gelfandnaimarksegal construction to double ccategories and we form the dual category for a saturated double fell bundle using the tomitatakesaki involution | [['in', 'this', 'paper', 'we', 'construct', 'the', 'notions', 'of', 'double', 'fell', 'bundle', 'and', 'double', 'ccategory', 'for', 'possible', 'future', 'use', 'as', 'tools', 'to', 'describe', 'noncommutative', 'spaces', 'in', 'particular', 'in', 'finite', 'dimensions', 'we', 'identify', 'the', 'algebra', 'of', 'sections', 'of', 'a', 'double', 'fell', 'line', 'bundle', 'over', 'a', 'discrete', 'double', 'groupoid', 'with', 'folding', 'with', 'the', 'convolution', 'algebra', 'of', 'the', 'latter', 'this', 'turns', 'out', 'to', 'be', 'what', 'one', 'might', 'call', 'a', 'double', 'calgebra', 'we', 'generalise', 'the', 'gelfandnaimarksegal', 'construction', 'to', 'double', 'ccategories', 'and', 'we', 'form', 'the', 'dual', 'category', 'for', 'a', 'saturated', 'double', 'fell', 'bundle', 'using', 'the', 'tomitatakesaki', 'involution']] | [-0.11159176888855195, 0.0692015265493275, -0.0872297752648592, 0.11409900712801123, -0.13523947998400326, -0.1353663491228452, 0.02326412927896644, 0.37357035160555946, -0.37431108257682116, -0.16094286884641745, 0.08123619400686329, -0.20823243925614016, -0.16227172196402653, 0.19570126550292577, -0.17168797010166958, -0.05699310687135209, 0.05480894707987637, 0.12615174653806857, -0.16463560492867235, -0.23231015506246547, 0.44021673320413945, 0.04938444106297179, 0.22448160180279597, 0.014032791624521162, 0.09458433011812824, 0.0532522404331018, -0.03320529601014741, 0.004014667210547806, -0.15908097734023652, 0.12553659228833167, 0.3031911857830422, 0.06453374126839073, 0.2113225175295496, -0.3847262533074552, -0.10276128952154777, 0.15061692348527875, 0.13782167963806416, -0.011217511765617917, 0.012943688769835038, -0.2423929553990672, 0.07228778191435324, -0.2776442229809178, -0.13514520254518306, -0.08169546119541257, 0.03528262426434494, -0.017254368135951693, -0.21264429178068434, -0.08717679368987025, 0.07780461211351085, 0.028995952558713955, -0.061332493662261046, -0.032768835262446616, -0.06813393859704445, 0.07398572260293863, -0.04766027149386131, 0.018840680584237286, 0.17761925048102717, -0.056137795626584976, -0.1900450861142887, 0.3432085250637361, -0.08104624882708866, -0.22456597495865036, 0.0825074128218118, -0.17790950140097067, -0.21998606673390655, 0.13580852541765506, 0.05633874645886513, 0.1377737013121637, -0.026345252683693237, 0.16011967742943542, -0.1402129509721647, 0.053519041083016236, 0.07985999675436907, -0.007193529937457252, 0.1693971697368997, 0.15626420705722502, 0.044932021237500425, 0.16033142764034303, -0.06544515609377893, -0.12493819220421407, -0.38401916803239466, -0.24999186668095977, 0.008727943286770484, 0.16065255535131956, -0.020519901987786946, -0.19888317861445862, 0.37235046485899487, 0.05945807600209674, 0.22371034227966607, 0.09975629938500268, 0.2050518166724142, 0.07620616130157282, 0.12346374468652757, -0.026451712197900473, 0.17322576029854955, 0.27354329279982126, 0.03878582815849478, -0.09076422960548611, -0.09699941828468261, 0.17663301376032306] |
709.2973 | Cycle structures of autotopisms of the Latin squares of order up to 11 | The cycle structure of a Latin square autotopism
$\Theta=(\alpha,\beta,\gamma)$ is the triple
$(\mathbf{l}_{\alpha},\mathbf{l}_{\beta},\mathbf{l}_{\gamma})$, where
$\mathbf{l}_{\delta}$ is the cycle structure of $\delta$, for all
$\delta\in\{\alpha,\beta,\gamma\}$. In this paper we study some properties of
these cycle structures and, as a consequence, we give a classification of all
autotopisms of the Latin squares of order up to 11.
| math.CO | the cycle structure of a latin square autotopism thetaalphabetagamma is the triple mathbfl_alphamathbfl_betamathbfl_gamma where mathbfl_delta is the cycle structure of delta for all deltainalphabetagamma in this paper we study some properties of these cycle structures and as a consequence we give a classification of all autotopisms of the latin squares of order up to 11 | [['the', 'cycle', 'structure', 'of', 'a', 'latin', 'square', 'autotopism', 'thetaalphabetagamma', 'is', 'the', 'triple', 'mathbfl_alphamathbfl_betamathbfl_gamma', 'where', 'mathbfl_delta', 'is', 'the', 'cycle', 'structure', 'of', 'delta', 'for', 'all', 'deltainalphabetagamma', 'in', 'this', 'paper', 'we', 'study', 'some', 'properties', 'of', 'these', 'cycle', 'structures', 'and', 'as', 'a', 'consequence', 'we', 'give', 'a', 'classification', 'of', 'all', 'autotopisms', 'of', 'the', 'latin', 'squares', 'of', 'order', 'up', 'to', '11']] | [-0.19544382510231992, 0.08933354026692755, -0.004536922948033202, 0.03010784976376111, -0.02653411992222947, -0.00897074504481519, 0.048500878464741014, 0.36233342154061093, -0.30201732469540016, -0.28357329570195255, 0.22072751879208155, -0.2945935282052732, -0.21326586724642446, 0.13848129813285434, -0.05971593418907301, -0.018104997920055016, 0.05438456373910109, 0.08640534929273759, -0.07061406526276294, -0.28449125305804257, 0.29723783147831756, 0.0021515688037171085, 0.15488319949922608, 0.01643853656965874, 0.0997184890632828, -0.016846808713322104, 0.023716271927981983, 0.04775247377726961, -0.1556863164090935, 0.1202205453871512, 0.2085641938279949, 0.14837622380925014, 0.2294375076981298, -0.3537599750264895, -0.11152786154336497, 0.1231837946757236, 0.10794122706112616, 0.07739870056884326, 0.0398278894158555, -0.143213419134126, 0.13496174917136336, -0.16946365545485534, -0.13671445824644146, -0.029949865650896933, 0.018425770706551915, 0.03580341376272925, -0.24154679352353675, 0.03249066071036984, 0.1368013448355829, 0.11401332425428372, 0.015817825956379667, -0.17344437111808242, 0.010253886354393234, 0.1800213195474855, -0.0039025484036435097, 0.019916545485566352, -0.026554024047857405, -0.10842710133988921, -0.1663308370785386, 0.4398483372494286, -0.0419117137264716, -0.13305571448861384, 0.11863980631289237, -0.20072836629754187, -0.1768893718208168, 0.11473202831385766, 0.15929040016935153, 0.0904395621562121, -0.1285942959914203, 0.05188725653045135, -0.12529618811665796, 0.1553361909646614, 0.09740728362664289, 0.005947846554073633, 0.14186644269263043, 0.20351068741714984, 0.1436423118609716, 0.16126504096695604, -0.09674737688300072, -0.045005964809188656, -0.3370438619863753, -0.2189109092030455, -0.1187783475855694, 0.10490390537854503, -0.09038472027653673, -0.23301902983118505, 0.4661622047241704, 0.08528341345635115, 0.1923326720647952, 0.037821211450386284, 0.2151363294790773, 0.06326853423425015, 0.07223507390111028, 0.03944896508519556, 0.15505088383032867, 0.18358674134109534, -0.012554749526886963, -0.1730424360207775, -0.01671204507789191, 0.12059468708421085] |
709.2974 | Outflow or galactic wind: The fate of ionized gas in the halos of dwarf
galaxies | Context: H\alpha images of star bursting irregular galaxies reveal a large
amount of extended ionized gas structures, in some cases at kpc-distance away
from any place of current star forming activity. A kinematic analysis of
especially the faint structures in the halo of dwarf galaxies allows insights
into the properties and the origin of this gas component. This is important for
the chemical evolution of galaxies, the enrichment of the intergalactic medium,
and for the understanding of the formation of galaxies in the early universe.
Aims: We want to investigate whether the ionized gas detected in two
irregular dwarf galaxies (NGC 2366 and NGC 4861) stays gravitationally bound to
the host galaxy or can escape from it by becoming a freely flowing wind.
Methods: Very deep H\alpha images of NGC 2366 and NGC 4861 were obtained to
detect and catalog both small and large scale ionized gas structures down to
very low surface brightnesses. Subsequently, high-resolution long-slit echelle
spectroscopy of the H\alpha line was performed for a detailed kinematic
analysis of the most prominent filaments and shells. To calculate the escape
velocity of both galaxies and to compare it with the derived expansion
velocities of the detected filaments and shells, we used dark matter halo
models.
Results: We detected a huge amount of both small scale (up to a few hundred
pc) and large scale (about 1-2 kpc of diameter or length) ionized gas
structures on our H\alpha images. Many of the fainter ones are new detections.
The echelle spectra reveal outflows and expanding bubbles/shells with
velocities between 20 and 110 km/s. Several of these structures are in
accordance with filaments in the H\alpha images. A comparison with the escape
velocities of the galaxies derived from the NFW dark matter halo model shows
that all gas features stay gravitationally bound.
| astro-ph | context halpha images of star bursting irregular galaxies reveal a large amount of extended ionized gas structures in some cases at kpcdistance away from any place of current star forming activity a kinematic analysis of especially the faint structures in the halo of dwarf galaxies allows insights into the properties and the origin of this gas component this is important for the chemical evolution of galaxies the enrichment of the intergalactic medium and for the understanding of the formation of galaxies in the early universe aims we want to investigate whether the ionized gas detected in two irregular dwarf galaxies ngc 2366 and ngc 4861 stays gravitationally bound to the host galaxy or can escape from it by becoming a freely flowing wind methods very deep halpha images of ngc 2366 and ngc 4861 were obtained to detect and catalog both small and large scale ionized gas structures down to very low surface brightnesses subsequently highresolution longslit echelle spectroscopy of the halpha line was performed for a detailed kinematic analysis of the most prominent filaments and shells to calculate the escape velocity of both galaxies and to compare it with the derived expansion velocities of the detected filaments and shells we used dark matter halo models results we detected a huge amount of both small scale up to a few hundred pc and large scale about 12 kpc of diameter or length ionized gas structures on our halpha images many of the fainter ones are new detections the echelle spectra reveal outflows and expanding bubblesshells with velocities between 20 and 110 kms several of these structures are in accordance with filaments in the halpha images a comparison with the escape velocities of the galaxies derived from the nfw dark matter halo model shows that all gas features stay gravitationally bound | [['context', 'halpha', 'images', 'of', 'star', 'bursting', 'irregular', 'galaxies', 'reveal', 'a', 'large', 'amount', 'of', 'extended', 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709.2975 | A Unified Approach to Stochastic Evolution Equations Using the Skorokhod
Integral | We study stochastic evolution equations driven by Gaussian noise. The key
features of the model are that the operators in the deterministic and
stochastic parts can have the same order and the noise can be time-only,
space-only, or space-time. Even the simplest equations of this kind do not have
a square-integrable solution and must be solved in special weighted spaces. We
demonstrate that the Cameron-Martin version of the Wiener chaos decomposition
leads to natural weights and a natural replacement of the square integrability
condition.
| math.PR math.AP | we study stochastic evolution equations driven by gaussian noise the key features of the model are that the operators in the deterministic and stochastic parts can have the same order and the noise can be timeonly spaceonly or spacetime even the simplest equations of this kind do not have a squareintegrable solution and must be solved in special weighted spaces we demonstrate that the cameronmartin version of the wiener chaos decomposition leads to natural weights and a natural replacement of the square integrability condition | [['we', 'study', 'stochastic', 'evolution', 'equations', 'driven', 'by', 'gaussian', 'noise', 'the', 'key', 'features', 'of', 'the', 'model', 'are', 'that', 'the', 'operators', 'in', 'the', 'deterministic', 'and', 'stochastic', 'parts', 'can', 'have', 'the', 'same', 'order', 'and', 'the', 'noise', 'can', 'be', 'timeonly', 'spaceonly', 'or', 'spacetime', 'even', 'the', 'simplest', 'equations', 'of', 'this', 'kind', 'do', 'not', 'have', 'a', 'squareintegrable', 'solution', 'and', 'must', 'be', 'solved', 'in', 'special', 'weighted', 'spaces', 'we', 'demonstrate', 'that', 'the', 'cameronmartin', 'version', 'of', 'the', 'wiener', 'chaos', 'decomposition', 'leads', 'to', 'natural', 'weights', 'and', 'a', 'natural', 'replacement', 'of', 'the', 'square', 'integrability', 'condition']] | [-0.12030618775281168, 0.11578382717977677, -0.09001922208422218, 0.09751663650690932, -0.09577994572187197, -0.10599198721216194, -0.03117516372280772, 0.3346756382712296, -0.3264933132699558, -0.21509989526211507, 0.15989125569051663, -0.2343413493224597, -0.20097552859945045, 0.143303306625014, -0.1136085441602128, 0.05032325323693277, 0.052196768639121385, 0.040090679412796384, -0.07912345102245343, -0.25245971802533385, 0.3536957614234693, 0.03203974405325772, 0.22493114129784295, -0.030068454945216046, 0.1322607951390507, -0.03658177389851993, -0.029858424181362524, 0.025393672561871687, -0.08851661888547824, 0.06818806972642917, 0.19768752561261257, 0.08795684163868871, 0.3074688738921568, -0.4430829855125575, -0.21842132587473662, 0.18540973657841928, 0.151049015316641, 0.10980080977259647, 0.0008889521815858426, -0.2937005190511367, 0.07305368675068687, -0.11202887496689246, -0.13247979943324545, -0.10424788611375593, -0.05206515237278793, 0.06028026110947221, -0.30816960613065886, 0.07553349158704459, 0.1444360619255652, -0.00438898045103997, -0.08180436077860317, -0.09229491629992567, -0.016917071992620117, 0.08465314169491951, -0.02391221432619551, -0.010539361428181153, 0.07824436167720705, -0.10079377030377232, -0.1450733711410846, 0.37528419989116846, -0.1136382742898561, -0.30618751050150467, 0.137598027491809, -0.15075123978091315, -0.12270894268017617, 0.09871906510947849, 0.15679692173199283, 0.10803130080568649, -0.1820057474653281, 0.12570406305132478, -0.04084298362778056, 0.12433970533311367, 0.09767998885252469, 0.04028400328631202, 0.12520649598445743, 0.09830513008914533, 0.0956292856412585, 0.13894264020962596, -0.04628342372320947, -0.1525848065080243, -0.3204011029807762, -0.15767188951195704, -0.17058902923738406, 0.07513204121347544, -0.14099142327835407, -0.18309581304146422, 0.3779114234216866, 0.1429960692212695, 0.15183648599555627, 0.04650856543421036, 0.2510940912484546, 0.2264418139654611, 0.05765188316581771, 0.06346735943640981, 0.18289180365779126, 0.1452780852449082, 0.10764255999016487, -0.1628989977872975, 0.07697193171562892, 0.12321218103863343] |
709.2976 | Molecular Dynamics Simulation of the Hydrogen Isotope Sputtering of
Graphite | We used a molecular dynamics simulation with the modified Brenner reactive
empirical bond order potential to investigate the erosion of a graphite surface
due to the incidence of hydrogen, deuterium, and tritium atoms. Incident
particles cause pressure on the graphite surface, and the chemical bond between
graphene layers then generates heat to erode the graphite surface. We evaluated
the speed of surface destruction by calculating the pseudo-radial distribution
function. The speed of surface destruction due to incident hydrogen isotopes
was higher than that due to hydrogen atoms. The surface destruction increased
exponentially and its decay time constant was a power function of the incident
energy. We measured the erosion yield, which indicated a steady state for the
graphite erosion. The erosion yield flux in the steady state increased linearly
with the incident energy. The erosion yield flux was almost independent of the
type of incident particle, and the erosion yield start time was smaller for
hydrogen isotopes than for hydrogen atoms.
| cond-mat.mtrl-sci cond-mat.other | we used a molecular dynamics simulation with the modified brenner reactive empirical bond order potential to investigate the erosion of a graphite surface due to the incidence of hydrogen deuterium and tritium atoms incident particles cause pressure on the graphite surface and the chemical bond between graphene layers then generates heat to erode the graphite surface we evaluated the speed of surface destruction by calculating the pseudoradial distribution function the speed of surface destruction due to incident hydrogen isotopes was higher than that due to hydrogen atoms the surface destruction increased exponentially and its decay time constant was a power function of the incident energy we measured the erosion yield which indicated a steady state for the graphite erosion the erosion yield flux in the steady state increased linearly with the incident energy the erosion yield flux was almost independent of the type of incident particle and the erosion yield start time was smaller for hydrogen isotopes than for hydrogen atoms | [['we', 'used', 'a', 'molecular', 'dynamics', 'simulation', 'with', 'the', 'modified', 'brenner', 'reactive', 'empirical', 'bond', 'order', 'potential', 'to', 'investigate', 'the', 'erosion', 'of', 'a', 'graphite', 'surface', 'due', 'to', 'the', 'incidence', 'of', 'hydrogen', 'deuterium', 'and', 'tritium', 'atoms', 'incident', 'particles', 'cause', 'pressure', 'on', 'the', 'graphite', 'surface', 'and', 'the', 'chemical', 'bond', 'between', 'graphene', 'layers', 'then', 'generates', 'heat', 'to', 'erode', 'the', 'graphite', 'surface', 'we', 'evaluated', 'the', 'speed', 'of', 'surface', 'destruction', 'by', 'calculating', 'the', 'pseudoradial', 'distribution', 'function', 'the', 'speed', 'of', 'surface', 'destruction', 'due', 'to', 'incident', 'hydrogen', 'isotopes', 'was', 'higher', 'than', 'that', 'due', 'to', 'hydrogen', 'atoms', 'the', 'surface', 'destruction', 'increased', 'exponentially', 'and', 'its', 'decay', 'time', 'constant', 'was', 'a', 'power', 'function', 'of', 'the', 'incident', 'energy', 'we', 'measured', 'the', 'erosion', 'yield', 'which', 'indicated', 'a', 'steady', 'state', 'for', 'the', 'graphite', 'erosion', 'the', 'erosion', 'yield', 'flux', 'in', 'the', 'steady', 'state', 'increased', 'linearly', 'with', 'the', 'incident', 'energy', 'the', 'erosion', 'yield', 'flux', 'was', 'almost', 'independent', 'of', 'the', 'type', 'of', 'incident', 'particle', 'and', 'the', 'erosion', 'yield', 'start', 'time', 'was', 'smaller', 'for', 'hydrogen', 'isotopes', 'than', 'for', 'hydrogen', 'atoms']] | [-0.06388394865467682, 0.24010235116302225, -0.054136437028415085, 0.03043616723893962, 0.04713965334021342, -0.08369814238499457, 0.09368129077899669, 0.37620310396279977, -0.26376005784486944, -0.31604373076444736, -0.015763731169375527, -0.31042858526712247, -0.03222626382889955, 0.1609236872472991, 0.023818041945616743, 0.05462699047085881, 0.05883582247860776, -0.034725635943020354, -0.04928314717781516, -0.23357797377042888, 0.274734931517832, 0.14838515477752465, 0.2911262926992654, 0.15153390853897153, 0.04594902394582396, -0.043545850491880075, 0.013603159199000238, -0.017392124032011683, -0.15650931890550113, 0.10493266338812222, 0.1534477460555304, 0.007163338422779246, 0.17669087056336658, -0.5126160251537789, -0.2583688082779405, 0.0854699100709017, 0.07122515526640674, 0.13132704407633253, -0.06477020821253543, -0.1989369360673652, -0.003071036964932584, -0.16789683288321916, -0.18289552579535553, 0.0321615111467469, 0.10394973652610867, 0.05248660255246651, -0.2356794269709206, 0.07970256706040284, 0.01723825967702899, 0.054166311807409856, -0.12332726750155529, -0.1421317991031253, -0.16195874832720952, 0.04810084808062508, 0.059602527318071134, 0.05087593166296434, 0.27557362561108345, -0.09257201853885043, 0.019910247767957287, 0.4158469568359556, -0.09803813619858018, -0.10677458081533264, 0.20827371165191072, -0.16045437269028484, -0.0036962317962268864, 0.2574773496306091, 0.15061605278466197, 0.08919983649603236, -0.1066905339046017, -0.009901884574477809, 0.02994285968149671, 0.16070004467858198, 0.1823014621883168, -0.004429943636869607, 0.19014338378198675, 0.1997845874519394, 0.08284171862145943, 0.1316832277673638, -0.16600240230768548, -0.037320708552294454, -0.2068841002060112, -0.20283540210148654, -0.1580380477497111, 0.06281128134242236, -0.05657144466101233, -0.17855084177593972, 0.37063332014248607, 0.06543865340894886, 0.1658170770807481, -0.019108486760216793, 0.2620379082476778, 0.13712352522654656, 0.04623045480046537, 0.0599402606296382, 0.2690112271016429, 0.19200844541972978, 0.08930701169225833, -0.2959736298815989, 0.16854826549808524, 0.03833480074897594] |
709.2977 | Minimal surfaces in sub-Riemannian manifolds and structure of their
singular sets in the (2,3) case | We study minimal surfaces in generic sub-Riemannian manifolds with
sub-Riemannian structures of co-rank one. These surfaces can be defined as the
critical points of the so-called {\it horizontal} area functional associated to
the canonical {\it horizontal} area form. We derive the intrinsic equation in
the general case and then consider in greater detail 2-dimensional surfaces in
contact manifolds of dimension 3. We show that in this case minimal surfaces
are projections of a special class of 2-dimensional surfaces in the horizontal
spherical bundle over the base manifold. Generic singularities of minimal
surfaces turn out the singularities of this projection, and we give a complete
local classification of them. We illustrate our results by examples in the
Heisenberg group and the group of roto-translations
| math.AP math.DG | we study minimal surfaces in generic subriemannian manifolds with subriemannian structures of corank one these surfaces can be defined as the critical points of the socalled it horizontal area functional associated to the canonical it horizontal area form we derive the intrinsic equation in the general case and then consider in greater detail 2dimensional surfaces in contact manifolds of dimension 3 we show that in this case minimal surfaces are projections of a special class of 2dimensional surfaces in the horizontal spherical bundle over the base manifold generic singularities of minimal surfaces turn out the singularities of this projection and we give a complete local classification of them we illustrate our results by examples in the heisenberg group and the group of rototranslations | [['we', 'study', 'minimal', 'surfaces', 'in', 'generic', 'subriemannian', 'manifolds', 'with', 'subriemannian', 'structures', 'of', 'corank', 'one', 'these', 'surfaces', 'can', 'be', 'defined', 'as', 'the', 'critical', 'points', 'of', 'the', 'socalled', 'it', 'horizontal', 'area', 'functional', 'associated', 'to', 'the', 'canonical', 'it', 'horizontal', 'area', 'form', 'we', 'derive', 'the', 'intrinsic', 'equation', 'in', 'the', 'general', 'case', 'and', 'then', 'consider', 'in', 'greater', 'detail', '2dimensional', 'surfaces', 'in', 'contact', 'manifolds', 'of', 'dimension', '3', 'we', 'show', 'that', 'in', 'this', 'case', 'minimal', 'surfaces', 'are', 'projections', 'of', 'a', 'special', 'class', 'of', '2dimensional', 'surfaces', 'in', 'the', 'horizontal', 'spherical', 'bundle', 'over', 'the', 'base', 'manifold', 'generic', 'singularities', 'of', 'minimal', 'surfaces', 'turn', 'out', 'the', 'singularities', 'of', 'this', 'projection', 'and', 'we', 'give', 'a', 'complete', 'local', 'classification', 'of', 'them', 'we', 'illustrate', 'our', 'results', 'by', 'examples', 'in', 'the', 'heisenberg', 'group', 'and', 'the', 'group', 'of', 'rototranslations']] | [-0.17218365492980656, 0.049341510841244364, -0.045437380648785976, 0.0993066675699793, -0.0653709547889487, -0.1166303555170695, -0.005785589189669951, 0.3671314118286156, -0.25990937873380393, -0.22796162033862458, 0.10158326633641784, -0.2763481511567848, -0.20582428428427718, 0.20791626287949824, -0.13941152666068857, 0.01741902859752801, 0.04306469089730181, 0.07093924025974684, -0.1394408617558609, -0.2759575905170428, 0.4480491784984261, -0.019323130138218403, 0.24922269961334825, 0.046262441078064646, 0.10120346397161484, 0.004496442771145726, 0.015214893361174963, 0.05374563840687335, -0.1931658111065101, 0.15335452350659098, 0.24774571015249666, 0.009446618285378426, 0.15993615488968488, -0.42004797053409787, -0.23164981026278159, 0.16091790218739127, 0.10335274764556225, 0.06580010104954727, -0.0033045860586642492, -0.23816307518646362, 0.07471097440530293, -0.09038875140704034, -0.21363812823196857, -0.06472185929116558, -0.009500975875804821, 0.011510177914855806, -0.13056291739373066, 0.025972844987380797, 0.12662681034478412, 0.1374576731955981, -0.056357127122156986, -0.07503126576311916, -0.07789358463161057, 0.10654856119356004, 0.0287170290513479, 0.012363626422905704, 0.09656649114321766, -0.0829047397483231, -0.07988107025365883, 0.3726042992420252, -0.060978328129579505, -0.30178862693719566, 0.15402318950840915, -0.17889613398479495, -0.1390355156613438, 0.11743980242276367, 0.17617082417889582, 0.18000374802547256, -0.09966080660962053, 0.15173836895766313, -0.0774373611268716, 0.03916000487752319, 0.07938495627793718, -0.06767671676191721, 0.14621113791940657, 0.14164211818706093, 0.12741536539184248, 0.14022670445322036, -0.09052205563033552, -0.09418754462092145, -0.3705722589681788, -0.26221769265224776, -0.11685688590736894, 0.11429262639030935, -0.13314348274079527, -0.17384762172322205, 0.4072086899863117, 0.01372891079967584, 0.22579583392773822, 0.06546707592177682, 0.2184365547405995, 0.04189649929587797, 0.06217262758381241, 0.0885616936153028, 0.18089162440198223, 0.14535951281413134, -0.024711130786028396, -0.13552490753174676, -0.07603276229077359, 0.11520785942855405] |
709.2978 | The Groebner basis of the ideal of vanishing polynomials | We construct an explicit minimal strong Groebner basis of the ideal of
vanishing polynomials in the polynomial ring over Z/m for m>=2. The proof is
done in a purely combinatorial way. It is a remarkable fact that the
constructed Groebner basis is independent of the monomial order and that the
set of leading terms of the constructed Groebner basis is unique, up to
multiplication by units. We also present a fast algorithm to compute reduced
normal forms, and furthermore, we give a recursive algorithm for building a
Groebner basis in Z/m[x_1,x_2,...,x_n] along the prime factorization of m. The
obtained results are not only of mathematical interest but have immediate
applications in formal verification of data paths for microelectronic
systems-on-chip.
| math.AC math.AG | we construct an explicit minimal strong groebner basis of the ideal of vanishing polynomials in the polynomial ring over zm for m2 the proof is done in a purely combinatorial way it is a remarkable fact that the constructed groebner basis is independent of the monomial order and that the set of leading terms of the constructed groebner basis is unique up to multiplication by units we also present a fast algorithm to compute reduced normal forms and furthermore we give a recursive algorithm for building a groebner basis in zmx_1x_2x_n along the prime factorization of m the obtained results are not only of mathematical interest but have immediate applications in formal verification of data paths for microelectronic systemsonchip | [['we', 'construct', 'an', 'explicit', 'minimal', 'strong', 'groebner', 'basis', 'of', 'the', 'ideal', 'of', 'vanishing', 'polynomials', 'in', 'the', 'polynomial', 'ring', 'over', 'zm', 'for', 'm2', 'the', 'proof', 'is', 'done', 'in', 'a', 'purely', 'combinatorial', 'way', 'it', 'is', 'a', 'remarkable', 'fact', 'that', 'the', 'constructed', 'groebner', 'basis', 'is', 'independent', 'of', 'the', 'monomial', 'order', 'and', 'that', 'the', 'set', 'of', 'leading', 'terms', 'of', 'the', 'constructed', 'groebner', 'basis', 'is', 'unique', 'up', 'to', 'multiplication', 'by', 'units', 'we', 'also', 'present', 'a', 'fast', 'algorithm', 'to', 'compute', 'reduced', 'normal', 'forms', 'and', 'furthermore', 'we', 'give', 'a', 'recursive', 'algorithm', 'for', 'building', 'a', 'groebner', 'basis', 'in', 'zmx_1x_2x_n', 'along', 'the', 'prime', 'factorization', 'of', 'm', 'the', 'obtained', 'results', 'are', 'not', 'only', 'of', 'mathematical', 'interest', 'but', 'have', 'immediate', 'applications', 'in', 'formal', 'verification', 'of', 'data', 'paths', 'for', 'microelectronic', 'systemsonchip']] | [-0.1603645061091441, 0.013527893801777173, -0.09876127699705756, 0.02777022551113771, -0.0971221009553489, -0.10075281285365129, 0.01895277968102719, 0.3305087730769952, -0.3166111284645937, -0.22853338625676678, 0.11316488519798316, -0.20560918378797102, -0.1481856442080274, 0.24435276680989032, -0.0601909441786613, 0.04265815459420683, 0.049704496969737236, 0.05623111116178965, -0.10298983385421136, -0.3023305059572429, 0.30371147569105417, 0.041868528824741555, 0.23215522377956974, -0.007962046447604641, 0.1326951578790243, -0.008537561147300116, -0.06515086941042189, -0.009704054630227324, -0.13308151352371708, 0.17613131053335332, 0.3021974537888605, 0.15663962823705566, 0.22970197121740982, -0.4371406626966545, -0.06526456606353365, 0.1312016320693054, 0.14916688788847965, 0.09465108474053568, -0.05604837179357596, -0.165084922291591, 0.12275033909432842, -0.20756898058767795, -0.17708751829380517, -0.15993829985480693, 0.07522257780498368, 0.018758033796892327, -0.29790219615245145, -0.03773046663387134, 0.0965846293661112, 0.12889298610783861, 0.005572605887980406, -0.12953382896227858, 0.003213399187543319, 0.0611061359897761, -0.027429104395905287, 0.05328351587562238, 0.06123519587893852, -0.1110936786715036, -0.14747302952396163, 0.37227999008560586, -0.04722970211089163, -0.20837091782398648, 0.14305245559031177, -0.1148546904491229, -0.135740409506548, 0.1334239018496947, 0.1007340059663027, 0.10130010886952455, -0.11181870032243936, 0.15105039526814973, -0.11920518590279429, 0.11125379466151787, 0.08495892042499352, 0.03708578028195238, 0.1431171522333713, 0.1208213125848827, 0.06397363018679582, 0.1277218043934396, 0.02785556590168784, -0.054063427094291204, -0.32250589669003327, -0.21742721446553023, -0.21468730195093963, 0.05536691915311444, -0.1282076928939698, -0.20295784996538344, 0.42833413375873053, 0.1077873305638589, 0.16041721082371424, 0.06995083969796739, 0.2769280323695581, 0.12475099416079209, 0.0856244433237145, 0.06299895827532194, 0.18851149294888442, 0.1526594871509094, 0.02317232456575227, -0.13838322980080778, 0.05280108258948993, 0.16196713162491383] |
709.2979 | Choice and Regularity: Common Consequences in Logic | It is well-known that Choice and Regularity are independent of each other but
have important common consequences of logical character (reflection principles,
representations of classes by sets, etc.). We explain this phenomenon by
isolating their "intersection", a principle (called here Best-Foundedness)
which is consistent with the negations of both axioms but implies all these
consequences. Then we study relationships between these consequences (and near
principles) in detail. Finally, we consider some arguments related to truth of
various principles in set theory, especially arguments concerning the
interpretability strength.
| math.LO | it is wellknown that choice and regularity are independent of each other but have important common consequences of logical character reflection principles representations of classes by sets etc we explain this phenomenon by isolating their intersection a principle called here bestfoundedness which is consistent with the negations of both axioms but implies all these consequences then we study relationships between these consequences and near principles in detail finally we consider some arguments related to truth of various principles in set theory especially arguments concerning the interpretability strength | [['it', 'is', 'wellknown', 'that', 'choice', 'and', 'regularity', 'are', 'independent', 'of', 'each', 'other', 'but', 'have', 'important', 'common', 'consequences', 'of', 'logical', 'character', 'reflection', 'principles', 'representations', 'of', 'classes', 'by', 'sets', 'etc', 'we', 'explain', 'this', 'phenomenon', 'by', 'isolating', 'their', 'intersection', 'a', 'principle', 'called', 'here', 'bestfoundedness', 'which', 'is', 'consistent', 'with', 'the', 'negations', 'of', 'both', 'axioms', 'but', 'implies', 'all', 'these', 'consequences', 'then', 'we', 'study', 'relationships', 'between', 'these', 'consequences', 'and', 'near', 'principles', 'in', 'detail', 'finally', 'we', 'consider', 'some', 'arguments', 'related', 'to', 'truth', 'of', 'various', 'principles', 'in', 'set', 'theory', 'especially', 'arguments', 'concerning', 'the', 'interpretability', 'strength']] | [-0.10383465396630209, 0.1078502826370992, -0.0747991785607409, 0.12840869344992908, -0.1198836756020048, -0.1154902895945016, 0.07991113027064996, 0.37593780160166845, -0.3081850208731931, -0.28388214781122323, 0.12575175167808614, -0.24888248884573924, -0.229383796177328, 0.19558141475846602, -0.10050281814873478, 0.01691890066641188, 0.0337919894508411, 0.0514687467366457, -0.05689170663407462, -0.21993543325955872, 0.40777849280925166, -0.01917914233575196, 0.2697030566578601, 0.09659541893187304, 0.0804313009680617, -0.0024930205694291482, -0.04293772395765192, 0.07669099499363193, -0.15706521574027774, 0.1678546938130112, 0.2558715572299132, 0.1874957772026476, 0.279804996612785, -0.44095537087035386, -0.18230031795128313, 0.10344704289292526, 0.05425780321414539, 0.10255028637326431, -0.020095698881980983, -0.24645724547160572, 0.10200316979019187, -0.1376990196484596, -0.1549811574720458, -0.1091976341206667, 0.034033203351333044, 0.04076076600278273, -0.18743524936482656, 0.027405919994465833, 0.12492815733529887, 0.10633301186960104, -0.07235840470719607, -0.11953698105969314, 0.006024321753715793, 0.11379798903498192, 0.10601517185433443, -0.07097466041193191, 0.07752874115113775, -0.1170694975474806, -0.16221105581864195, 0.38855939908602904, 0.048391309639216985, -0.19373456815438383, 0.23496132023459257, -0.12866253924534418, -0.21504162473409155, 0.02949864393219265, 0.08103231186328759, 0.07611203464397857, -0.13348967263605013, 0.0806120177284208, -0.07862989715406087, 0.1158777927630581, 0.10755487194089869, 0.12365294597179326, 0.19661276025134464, 0.09990847881255281, -0.01398820887850381, 0.11380525579375518, -0.009739562755363971, -0.09125871804737767, -0.3594335575390412, -0.12463799512100428, -0.139330591117086, 0.025353651439641103, -0.09113949293583404, -0.13949493943107164, 0.3656284809180232, 0.20826301489805066, 0.19274815926220007, 0.051821870524923555, 0.24573588148734077, 0.11080495776425164, 0.03384124060692049, 0.017599939877643835, 0.21827751969503034, 0.15533018793889083, 0.010860914429433124, -0.14432036710989682, 0.123759749984412, 0.0946952216543777] |
709.298 | H2 Double Ionization with Few-Cycle Laser Pulses | The temporal dynamics of double ionization of H2 has been investigated both
experimentally and theoretically with few-cycle laser pulses. The main
observables are the proton spectra associated to the H^+ + H^+ fragmentation
channel. The model is based on the time-dependent Schr\"odinger equation and
treats on the same level the electronic and nuclear coordinates. Therefore it
allows to follow the ultrafast nuclear dynamics as a function of the laser
pulse duration, carrier-envelope phase offset and peak intensity. We mainly
report results in the sequential double ionization regime above 2 10^{14}
W/cm^2. The proton spectra are shifted to higher energies as the pulse duration
is reduced from 40fs down to 10fs. The good agreement between the model
predictions and the experimental data at 10fs permits a theoretical study with
pulse durations down to a few femtoseconds. We demonstrate the very fast
nuclear dynamics of the H2^+ ion for a pulse duration as short as 1fs between
the two ionization events giving respectively H2^+ from H2 and H^+ + H^+ from
H2^+. Carrier-envelope phase offset only plays a significant role for pulse
durations shorter than 4fs. At 10fs, the laser intensity dependence of the
proton spectra is fairly well reproduced by the model.
| quant-ph | the temporal dynamics of double ionization of h2 has been investigated both experimentally and theoretically with fewcycle laser pulses the main observables are the proton spectra associated to the h h fragmentation channel the model is based on the timedependent schrodinger equation and treats on the same level the electronic and nuclear coordinates therefore it allows to follow the ultrafast nuclear dynamics as a function of the laser pulse duration carrierenvelope phase offset and peak intensity we mainly report results in the sequential double ionization regime above 2 1014 wcm2 the proton spectra are shifted to higher energies as the pulse duration is reduced from 40fs down to 10fs the good agreement between the model predictions and the experimental data at 10fs permits a theoretical study with pulse durations down to a few femtoseconds we demonstrate the very fast nuclear dynamics of the h2 ion for a pulse duration as short as 1fs between the two ionization events giving respectively h2 from h2 and h h from h2 carrierenvelope phase offset only plays a significant role for pulse durations shorter than 4fs at 10fs the laser intensity dependence of the proton spectra is fairly well reproduced by the model | [['the', 'temporal', 'dynamics', 'of', 'double', 'ionization', 'of', 'h2', 'has', 'been', 'investigated', 'both', 'experimentally', 'and', 'theoretically', 'with', 'fewcycle', 'laser', 'pulses', 'the', 'main', 'observables', 'are', 'the', 'proton', 'spectra', 'associated', 'to', 'the', 'h', 'h', 'fragmentation', 'channel', 'the', 'model', 'is', 'based', 'on', 'the', 'timedependent', 'schrodinger', 'equation', 'and', 'treats', 'on', 'the', 'same', 'level', 'the', 'electronic', 'and', 'nuclear', 'coordinates', 'therefore', 'it', 'allows', 'to', 'follow', 'the', 'ultrafast', 'nuclear', 'dynamics', 'as', 'a', 'function', 'of', 'the', 'laser', 'pulse', 'duration', 'carrierenvelope', 'phase', 'offset', 'and', 'peak', 'intensity', 'we', 'mainly', 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709.2981 | The spectrum of closed loops of fundamental flux in D=2+1 SU(N) gauge
theories | We study the closed-string spectrum of SU(N) gauge theories in the
fundamental representation in 2+1 dimensions. We calculate the energies of the
lowest lying ~ 30 states using a large variety of operators characterised by
the quantum numbers of parity and longitudinal momentum. We find that our
results for the ground state are very well approximated by the Nambu-Goto (NG)
predictions even for short strings. For the excited states, we observe
significant deviations from the NG predictions only for very short strings and
they decrease rapidly with increasing string length. Finally, we see that
Nambu-Goto provides a much better description of our results than the effective
string theoretical predictions. We discuss the continuum and large-N limits.
| hep-lat hep-th | we study the closedstring spectrum of sun gauge theories in the fundamental representation in 21 dimensions we calculate the energies of the lowest lying 30 states using a large variety of operators characterised by the quantum numbers of parity and longitudinal momentum we find that our results for the ground state are very well approximated by the nambugoto ng predictions even for short strings for the excited states we observe significant deviations from the ng predictions only for very short strings and they decrease rapidly with increasing string length finally we see that nambugoto provides a much better description of our results than the effective string theoretical predictions we discuss the continuum and largen limits | [['we', 'study', 'the', 'closedstring', 'spectrum', 'of', 'sun', 'gauge', 'theories', 'in', 'the', 'fundamental', 'representation', 'in', '21', 'dimensions', 'we', 'calculate', 'the', 'energies', 'of', 'the', 'lowest', 'lying', '30', 'states', 'using', 'a', 'large', 'variety', 'of', 'operators', 'characterised', 'by', 'the', 'quantum', 'numbers', 'of', 'parity', 'and', 'longitudinal', 'momentum', 'we', 'find', 'that', 'our', 'results', 'for', 'the', 'ground', 'state', 'are', 'very', 'well', 'approximated', 'by', 'the', 'nambugoto', 'ng', 'predictions', 'even', 'for', 'short', 'strings', 'for', 'the', 'excited', 'states', 'we', 'observe', 'significant', 'deviations', 'from', 'the', 'ng', 'predictions', 'only', 'for', 'very', 'short', 'strings', 'and', 'they', 'decrease', 'rapidly', 'with', 'increasing', 'string', 'length', 'finally', 'we', 'see', 'that', 'nambugoto', 'provides', 'a', 'much', 'better', 'description', 'of', 'our', 'results', 'than', 'the', 'effective', 'string', 'theoretical', 'predictions', 'we', 'discuss', 'the', 'continuum', 'and', 'largen', 'limits']] | [-0.11246497312398708, 0.22180497472214958, -0.057741328557249685, 0.17215043788208909, -0.0032666607314477797, -0.10141233818848495, 0.0655568756972966, 0.33398603772663554, -0.17794155048449403, -0.32200700289205364, 0.04751655883155763, -0.2892191184927588, -0.1030722629542098, 0.18468498311450948, 0.0184411377504306, 0.021994900047455145, 0.08609379072997557, 0.06034406811484824, -0.07726605770889285, -0.21028399763871794, 0.28131787658709545, 0.06533086104217269, 0.27215294599047174, 0.060137455351650715, 0.043491014623609575, -0.008047023613977692, -0.014095138800937844, 0.03773161419059919, -0.1374701534120781, 0.14252657112361783, 0.22185928569094318, 0.07243681657330497, 0.14588389207163582, -0.44037100394134937, -0.19019147258899782, 0.07069871771837706, 0.15070613452192883, 0.21777832658718463, -0.010738475005263868, -0.2852988097978675, 0.10164860136321058, -0.16374267108900392, -0.15478705458201306, -0.10588592591331057, 0.05732122029218337, -0.032803224378427406, -0.21001214728002315, 0.07564591719318464, 0.025402710233491076, 0.04852573461830616, -0.06652423034462591, -0.143693584671406, -0.016555131724833146, 0.11358911378876023, 0.10182954870650301, 0.052135705755537616, 0.08813668650615475, -0.20081156911429665, -0.13542775686668312, 0.38585201083965925, -0.1426917387264953, -0.16265537061364108, 0.19445806636434534, -0.18053743856270676, -0.15600442397205727, 0.11238862754493628, 0.11494050232450599, 0.10765861900442321, -0.058585727830295975, 0.11393099216511474, -0.03791099988814929, 0.17612488432129358, 0.07701530331219344, 0.07590096687452624, 0.23677952416727077, 0.12742798608606276, 0.0026435932549445525, 0.12443678488792932, -0.07647169425921596, -0.1189702103116914, -0.3354578522246574, -0.09871941313107052, -0.15549939812930383, 0.09398216570363097, -0.09971950211645732, -0.13276309432947767, 0.39777427468367893, 0.13484862077982498, 0.23329185384690113, 0.12653136315715055, 0.2116611867171267, 0.13531461539678274, 0.045463806139710156, 0.10096900538723592, 0.2663319746113342, 0.13669847142781413, 0.060016792845082184, -0.2129806907159155, -0.07897770280504356, 0.057618322320606395] |
709.2982 | Quasi-maximum likelihood estimation of periodic GARCH processes | This paper establishes the strong consistency and asymptotic normality of the
quasi-maximum likelihood estimator (QMLE) for a GARCH process with periodically
time-varying parameters. We first give a necessary and sufficient condition for
the existence of a strictly periodically stationary solution for the periodic
GARCH (P-GARCH) equation. As a result, it is shown that the moment of some
positive order of the P-GARCH solution is finite, under which we prove the
strong consistency and asymptotic normality (CAN) of the QMLE without any
condition on the moments of the underlying process.
| math.ST math.PR stat.ME stat.TH | this paper establishes the strong consistency and asymptotic normality of the quasimaximum likelihood estimator qmle for a garch process with periodically timevarying parameters we first give a necessary and sufficient condition for the existence of a strictly periodically stationary solution for the periodic garch pgarch equation as a result it is shown that the moment of some positive order of the pgarch solution is finite under which we prove the strong consistency and asymptotic normality can of the qmle without any condition on the moments of the underlying process | [['this', 'paper', 'establishes', 'the', 'strong', 'consistency', 'and', 'asymptotic', 'normality', 'of', 'the', 'quasimaximum', 'likelihood', 'estimator', 'qmle', 'for', 'a', 'garch', 'process', 'with', 'periodically', 'timevarying', 'parameters', 'we', 'first', 'give', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'the', 'existence', 'of', 'a', 'strictly', 'periodically', 'stationary', 'solution', 'for', 'the', 'periodic', 'garch', 'pgarch', 'equation', 'as', 'a', 'result', 'it', 'is', 'shown', 'that', 'the', 'moment', 'of', 'some', 'positive', 'order', 'of', 'the', 'pgarch', 'solution', 'is', 'finite', 'under', 'which', 'we', 'prove', 'the', 'strong', 'consistency', 'and', 'asymptotic', 'normality', 'can', 'of', 'the', 'qmle', 'without', 'any', 'condition', 'on', 'the', 'moments', 'of', 'the', 'underlying', 'process']] | [-0.14762824340958902, 0.03791150837362315, -0.12524694591509491, 0.10912611703094902, -0.07298649289237147, -0.13601458438912803, 0.049335807885613626, 0.3284541385018089, -0.24187934528408425, -0.2188964652085907, 0.18397613900472945, -0.2218960543173585, -0.14471591194945105, 0.14543149572158798, -0.06661419247099187, 0.1238601176915795, 0.0683059937404364, 0.059002246299570196, -0.05167553385227835, -0.2720892977654892, 0.3064604229346085, 0.04034832984292775, 0.3064256362889088, 0.02665985420835466, 0.1445216663715461, 0.01790211076084315, 0.05133455926212325, -0.006603231287320678, -0.17723637520313706, 0.06075024818269054, 0.1506427287887991, 0.11598613468166231, 0.32171842652592764, -0.3718146748704773, -0.1671863511110541, 0.1794059772954814, 0.10206335860963785, 0.06462559471655051, -0.02500552929848893, -0.2832593768625782, 0.1318295467540287, -0.13789691505011883, -0.17991940104768853, -0.08397240234601698, -0.02166686574876141, 0.08748430725752135, -0.4326980063545235, 0.12790846979517614, 0.1961210849956515, 0.04243669306252445, -0.07152741198072189, -0.06168448859616445, -0.012151657331609325, 0.04569375941404299, 0.11069919649718246, -0.07328200442428712, 0.007314367282591509, -0.09360292538270626, -0.056934359488653, 0.29438145648102076, -0.10210610535440527, -0.2386400086826153, 0.1412805901903115, -0.14483418614927973, -0.12775806387823618, 0.08375198263256403, 0.13053804795058926, 0.12397992766849446, -0.1826033644440971, 0.12367654296509356, -0.05187843440184265, 0.1321175509666124, 0.06989590469957067, -0.010074919356514564, 0.13744808364073546, 0.13077635961071996, 0.17475257448726492, 0.17674219546567524, -0.06808180561592655, -0.08403349677205421, -0.39367997146138317, -0.15232790636128923, -0.1895391254612569, 0.0587568046535585, -0.18016795772131078, -0.2347250654256845, 0.3798153721884395, 0.15808997155177626, 0.15132673400234473, 0.1297410335718769, 0.24403010783298465, 0.1885859542532845, -0.045324227361929384, 0.07511127220330698, 0.1923995689646566, 0.20362845183810574, 0.05896347087514953, -0.21093943025498244, 0.19313969373117001, 0.09746416613689801] |
709.2983 | On some probabilistic properties of periodic GARCH processes | This paper examines some probabilistic properties of the class of periodic
GARCH processes (PGARCH) which feature periodicity in conditional
heteroskedasticity. In these models, the parameters are allowed to switch
between different regimes, so that their structure shares many properties with
periodic ARMA process (PARMA). We examine the strict and second order periodic
stationarities, the existence of higher-order moments, the covariance
structure, the geometric ergodicity and -mixing of the PGARCH(p,q) process
under general and tractable assumptions. Some examples are proposed to
illustrate the various concepts.
| math.PR math.ST stat.TH | this paper examines some probabilistic properties of the class of periodic garch processes pgarch which feature periodicity in conditional heteroskedasticity in these models the parameters are allowed to switch between different regimes so that their structure shares many properties with periodic arma process parma we examine the strict and second order periodic stationarities the existence of higherorder moments the covariance structure the geometric ergodicity and mixing of the pgarchpq process under general and tractable assumptions some examples are proposed to illustrate the various concepts | [['this', 'paper', 'examines', 'some', 'probabilistic', 'properties', 'of', 'the', 'class', 'of', 'periodic', 'garch', 'processes', 'pgarch', 'which', 'feature', 'periodicity', 'in', 'conditional', 'heteroskedasticity', 'in', 'these', 'models', 'the', 'parameters', 'are', 'allowed', 'to', 'switch', 'between', 'different', 'regimes', 'so', 'that', 'their', 'structure', 'shares', 'many', 'properties', 'with', 'periodic', 'arma', 'process', 'parma', 'we', 'examine', 'the', 'strict', 'and', 'second', 'order', 'periodic', 'stationarities', 'the', 'existence', 'of', 'higherorder', 'moments', 'the', 'covariance', 'structure', 'the', 'geometric', 'ergodicity', 'and', 'mixing', 'of', 'the', 'pgarchpq', 'process', 'under', 'general', 'and', 'tractable', 'assumptions', 'some', 'examples', 'are', 'proposed', 'to', 'illustrate', 'the', 'various', 'concepts']] | [-0.11659613338085902, 0.0937735308768194, -0.07008156881678894, 0.1273773751751164, -0.11051033287174461, -0.11690991458269846, 0.0285246280535315, 0.4027850813378232, -0.33964384419013216, -0.24647792181875333, 0.1262273966301098, -0.22355468373700796, -0.1889454005847135, 0.1568629717628236, -0.06496633763189416, 0.10970755660883992, 0.015171938909621662, -0.007319670350077641, -0.07100540180466171, -0.24198598976258234, 0.3337015414228999, 0.022142606941668922, 0.274612271844084, -0.03197769329992561, 0.07582821686336973, -0.019611801759968232, -0.02877332435090499, -0.03238668507077249, -0.1654398735779715, 0.11156053128035133, 0.1873633229047574, 0.09237953010632331, 0.2741097691076168, -0.4208418424409556, -0.222319752498283, 0.13560378734100925, 0.04814900289828249, 0.06018255103845149, 0.00904285947018, -0.29733628051422806, 0.06627252979866083, -0.12289061795650835, -0.1316845789832254, -0.12313115133915141, 0.00473708262756826, 0.09923817926501653, -0.3022706053592826, 0.060518967301910184, 0.1595915343545108, 0.062314569462000965, -0.02787129184320928, -0.10277860777604068, -0.02967297910931464, 0.11081366749278393, 0.11037096672856911, -0.13881085023104425, 0.08292860362723649, -0.10954035818085905, -0.14164117334343224, 0.336622166262199, -0.02797017972607794, -0.22518164111323744, 0.22679641243373325, -0.1413836463029126, -0.19698160054184585, 0.09245120277852718, 0.17051620444799043, 0.07709407647061779, -0.19359284402740873, 0.09513941945589473, -0.028787345019539435, 0.12245346053716648, 0.07830030372343867, 0.0843147646154681, 0.14889328577836236, 0.11864063268561051, 0.03557187244113737, 0.14483283073585257, -0.07054595531424485, -0.1798537511782474, -0.3218101172831403, -0.10462839115433485, -0.11370281222646675, -0.002297930061783507, -0.13671601487899407, -0.2025813361944025, 0.43565132486331, 0.19544492166556687, 0.18467838368771305, 0.07936695283587393, 0.2294573481643505, 0.12365422238517239, -0.014934131783062974, 0.04681258103585836, 0.18721827998594662, 0.16087371299705322, 0.06377301379443562, -0.18300314526198466, 0.1369332037305078, 0.04717723122539829] |
709.2984 | Precise dipole moment and quadrupole coupling constants of benzonitrile | We have performed Fourier transform microwave spectroscopy of benzonitrile,
without and with applied electric fields. From the field-free
hyperfine-resolved microwave transitions we simultaneously derive accurate
values for the rotational constants, centrifugal distortion constants, and
nitrogen nuclear quadrupole coupling constants of benzonitrile. By measuring
the Stark shift of selected hyperfine transitions the electric dipole moment of
benzonitrile is determined to $\mu=\mu_a=4.5152 (68)$ D.
| physics.chem-ph | we have performed fourier transform microwave spectroscopy of benzonitrile without and with applied electric fields from the fieldfree hyperfineresolved microwave transitions we simultaneously derive accurate values for the rotational constants centrifugal distortion constants and nitrogen nuclear quadrupole coupling constants of benzonitrile by measuring the stark shift of selected hyperfine transitions the electric dipole moment of benzonitrile is determined to mumu_a45152 68 d | [['we', 'have', 'performed', 'fourier', 'transform', 'microwave', 'spectroscopy', 'of', 'benzonitrile', 'without', 'and', 'with', 'applied', 'electric', 'fields', 'from', 'the', 'fieldfree', 'hyperfineresolved', 'microwave', 'transitions', 'we', 'simultaneously', 'derive', 'accurate', 'values', 'for', 'the', 'rotational', 'constants', 'centrifugal', 'distortion', 'constants', 'and', 'nitrogen', 'nuclear', 'quadrupole', 'coupling', 'constants', 'of', 'benzonitrile', 'by', 'measuring', 'the', 'stark', 'shift', 'of', 'selected', 'hyperfine', 'transitions', 'the', 'electric', 'dipole', 'moment', 'of', 'benzonitrile', 'is', 'determined', 'to', 'mumu_a45152', '68', 'd']] | [-0.14565212665828037, 0.21952977266590126, 0.051755315379896125, -0.01001390020866863, -0.028461924738815574, -0.11529138604881334, 0.09699642901465327, 0.46214790503135655, -0.21757403710383738, -0.3224005054865704, -0.048108366226441546, -0.23889782989672462, 0.01622864704762326, 0.16690882419419215, 0.12052449330565382, 0.0325281355574395, -0.04964905058713172, -0.009656692664215311, -0.032502234531719174, -0.10159870564220015, 0.24109123733856516, 0.05016724131696048, 0.27355999469024234, 0.05013452168004435, 0.06313016974046583, -0.012926823837438324, 0.03218610847338301, -0.04991122628333139, -0.17119090440759405, 0.1333928130238821, 0.2035534364766762, -0.01588166257763495, 0.11746811428962306, -0.43411310691936095, -0.128713440058417, 0.0929291854330079, 0.09263539022659181, 0.19495013834084154, -0.06415065241305799, -0.3420161933439677, -0.06955146620080607, -0.06515214821232147, -0.1290790336435569, -0.19586928781183038, 0.049730071149094675, 0.0717887160688883, -0.3175670348840659, 0.1122194256969407, -0.013102333700727121, 0.15781771913781517, -0.1934433293406714, -0.19137432755994016, 0.013349573876036972, 0.09992864714614803, 0.03658207487238602, 0.09853195276714434, 0.21420873622180986, -0.027511807066983866, -0.08814066605734043, 0.4081620176734983, -0.17450159217124103, -0.09715503991007057, 0.031714126406634444, -0.23074771795940938, -0.12831082058398693, 0.1895001896458571, 0.10611411729125214, 0.12585662567957503, -0.1296817010085358, 0.10559939531433839, 0.10593155311939657, 0.18241788297280914, 0.16989353944959698, 0.03214874841868267, 0.19954628697367477, -0.005514608253343183, -0.0016381886795346365, 0.13144494011830232, -0.18163253489087838, -0.0009309276633086751, -0.20198453330724944, -0.05067289281101157, -0.20765003319219, 0.08607925157459667, -0.07529420863606082, -0.10199768530571314, 0.34616091131370086, 0.033180010520288204, 0.1610856952420512, -0.09263557675065565, 0.33917091249442494, 0.1256272916483586, 0.07985749410572232, -0.02546581493873821, 0.39116689562797546, 0.30800884539551543, 0.0752461594414943, -0.3650870716970292, 0.018149516789517442, 0.03562454507804522] |
709.2985 | Chromomagnetic Instability and Gluonic Phase at Nonzero Temperature | We describe the results of recent studies of a chromomagnetic instability and
a gluonic phase in neutral two-flavor quark matter at nonzero temperature.
| hep-ph | we describe the results of recent studies of a chromomagnetic instability and a gluonic phase in neutral twoflavor quark matter at nonzero temperature | [['we', 'describe', 'the', 'results', 'of', 'recent', 'studies', 'of', 'a', 'chromomagnetic', 'instability', 'and', 'a', 'gluonic', 'phase', 'in', 'neutral', 'twoflavor', 'quark', 'matter', 'at', 'nonzero', 'temperature']] | [-0.17816771467661727, 0.40306294472564175, -0.10801690308701085, 0.04840438756281915, -0.010735360480359068, 0.0017391537194666655, 0.06414948687281298, 0.30309064410950826, -0.0694512054729073, -0.17822573269190994, -0.0004937249569870207, -0.2998439012014348, -0.06080490253541781, 0.03588659526861232, 0.08699537384445252, 0.06497194941924966, -0.030520299044640167, 0.03369462585238659, -0.1407547785455118, -0.2208793291558876, 0.3692969318641269, -0.025402146513047424, 0.22343496476178584, 0.21632768732050192, 0.016526098727532055, -0.0791588167902892, -0.10818530627242896, -0.016492536048526348, -0.18928500410655272, -0.07699510519919188, 0.19632133261209517, -0.021534300490241985, 0.13903700576528258, -0.38043147908604663, -0.20030335955443265, 0.12753010286099237, 0.09958888782674204, 0.21371551603078842, -0.1347105718906159, -0.27769705104520137, 0.07899187602426695, -0.2622082729459457, -0.22849979097752468, -0.13512541876053033, -0.04181181119107034, -0.08225681001077527, -0.36939558062864386, 0.1233186226176179, -0.01774444880530886, 0.06116562645943106, -0.02341400937217733, -0.2253669546512158, -0.03929439375338995, -0.02499544162951086, 0.11783642815830915, 0.12562201566913206, 0.18299301748123506, -0.2870956383969473, -0.1088498444498881, 0.36657555773854256, -0.1625998770899099, -0.08609519736922305, 0.13815267691793648, -0.23951889218195624, -0.15817423264050615, 0.12924870557111243, 0.1921649799965646, 0.08728266873842348, -0.13083340798545143, 0.11139613551684939, -0.12207437792549962, 0.12107226334552726, 0.07387204313367281, 0.02279706997733624, 0.35830704940725927, 0.25249641340063966, -0.05058874392315098, 0.09114727334362334, -0.008336182116814281, -0.09563651559469492, -0.3690330236340347, -0.06852866531066272, -0.12899544878619845, -0.04073272811491852, -0.08364335907073996, -0.18073352207632168, 0.44247146533883136, 0.140345996124265, 0.1967187360253023, -0.10779935303751541, 0.3530632388251631, 0.04187995652951624, 0.022416862335218037, 0.08221997110092122, 0.27299453208789876, 0.27759066774793295, 0.2298847528822396, -0.35153527298699255, -0.08210612209412553, 0.11961830694876287] |
709.2986 | Blistering of viscoelastic filaments | When a dilute polymer solution experiences capillary thinning, it forms an
almost uniformly cylindrical thread, which we study experimentally. In the last
stages of thinning, when polymers have become fully stretched, the filament
becomes prone to instabilities, of which we describe two: A novel "breathing"
instability, originating from the edge of the filament, and a sinusoidal
instability in the interior, which ultimately gives rise to a "blistering"
pattern of beads on the filament. We describe the linear instability with a
spatial resolution of 80 nm in the disturbance amplitude. For sufficiently high
polymer concentrations, the filament eventually separates out into a "solid"
phase of entangled polymers, connected by fluid beads. A solid polymer fiber of
about 100 nanometer thickness remains, which is essentially permanent.
| physics.flu-dyn | when a dilute polymer solution experiences capillary thinning it forms an almost uniformly cylindrical thread which we study experimentally in the last stages of thinning when polymers have become fully stretched the filament becomes prone to instabilities of which we describe two a novel breathing instability originating from the edge of the filament and a sinusoidal instability in the interior which ultimately gives rise to a blistering pattern of beads on the filament we describe the linear instability with a spatial resolution of 80 nm in the disturbance amplitude for sufficiently high polymer concentrations the filament eventually separates out into a solid phase of entangled polymers connected by fluid beads a solid polymer fiber of about 100 nanometer thickness remains which is essentially permanent | [['when', 'a', 'dilute', 'polymer', 'solution', 'experiences', 'capillary', 'thinning', 'it', 'forms', 'an', 'almost', 'uniformly', 'cylindrical', 'thread', 'which', 'we', 'study', 'experimentally', 'in', 'the', 'last', 'stages', 'of', 'thinning', 'when', 'polymers', 'have', 'become', 'fully', 'stretched', 'the', 'filament', 'becomes', 'prone', 'to', 'instabilities', 'of', 'which', 'we', 'describe', 'two', 'a', 'novel', 'breathing', 'instability', 'originating', 'from', 'the', 'edge', 'of', 'the', 'filament', 'and', 'a', 'sinusoidal', 'instability', 'in', 'the', 'interior', 'which', 'ultimately', 'gives', 'rise', 'to', 'a', 'blistering', 'pattern', 'of', 'beads', 'on', 'the', 'filament', 'we', 'describe', 'the', 'linear', 'instability', 'with', 'a', 'spatial', 'resolution', 'of', '80', 'nm', 'in', 'the', 'disturbance', 'amplitude', 'for', 'sufficiently', 'high', 'polymer', 'concentrations', 'the', 'filament', 'eventually', 'separates', 'out', 'into', 'a', 'solid', 'phase', 'of', 'entangled', 'polymers', 'connected', 'by', 'fluid', 'beads', 'a', 'solid', 'polymer', 'fiber', 'of', 'about', '100', 'nanometer', 'thickness', 'remains', 'which', 'is', 'essentially', 'permanent']] | [-0.16846982788504852, 0.25230812067797337, -0.09698196570388973, -0.0459483724355983, -0.01676086937227557, -0.15112617137891637, 0.0043350758271351935, 0.3694007001937397, -0.29172428009370643, -0.2088364478118057, 0.10996261041239655, -0.23729352398415007, -0.12875226326286793, 0.12926251287928842, -0.013851564139082667, 0.017810684818898387, 0.054434044391758016, -0.01308747039236609, -0.004344973630542236, -0.16313147131774214, 0.2255519574147559, 0.04874365668623678, 0.2942876180693988, 0.03848569967498582, 0.11327373598291043, -0.04407784250760151, 0.04367418008135451, 0.05265560457783361, -0.2165116953303016, 0.038581633572316455, 0.21222398471417686, -0.019020145050167376, 0.26369603725916313, -0.5035872390435543, -0.19740919748907007, 0.02024271083674619, 0.17863807886192995, 0.14974394793276705, -0.014841090739449305, -0.223166806525701, 0.07286857848051906, -0.13800167665636587, -0.16064185533867847, 0.014708932691944702, 0.06260618464570612, 0.026313391350765502, -0.21644767865748896, 0.10148217031852372, 0.10165705409411702, 0.04070137816879357, -0.05701254243631997, -0.02439173076662325, -0.033095188491467024, 0.07116716766153507, 0.06809466133915609, 0.04447410365138503, 0.22809286181244157, -0.16603884545545425, -0.0011210109843241593, 0.3542277841047654, -0.02480188279502815, -0.1510449655939855, 0.21512187351735548, -0.14587505974791823, -0.04115659613800686, 0.2727026948029356, 0.1498023083456041, 0.07723335157178583, -0.10888161997037617, -0.01942962532789792, -0.03271052313052238, 0.22430885540163745, 0.16206823648028676, -0.03892679758475072, 0.285783980094317, 0.23421185298056732, 0.06400163644537961, 0.2295506036194462, -0.12370731493630897, -0.11381921438770669, -0.2575537014692541, -0.17344788193792826, -0.15209384912609933, 0.05684145078093054, -0.09624963804256573, -0.27654746294982974, 0.3824107288448666, 0.047251067672585766, 0.21107600683406477, 0.019523916014980887, 0.25132360343911475, 0.006507575504421707, 0.0790116091168696, 0.04837658825225287, 0.2739871250063692, 0.17305021024038714, 0.1270681643621966, -0.19428096573627104, 0.04999925404216253, 0.04910611644041755] |
709.2987 | Hodge Theory for G2-manifolds: Intermediate Jacobians and Abel-Jacobi
maps | We study the moduli space of torsion-free G2-structures on a fixed compact
manifold, and define its associated universal intermediate Jacobian J. We
define the Yukawa coupling and relate it to a natural pseudo-Kahler structure
on J. We consider natural Chern-Simons type functionals, whose critical points
give associative and coassociative cycles (calibrated submanifolds coupled with
Yang-Mills connections), and also deformed Donaldson-Thomas connections. We
show that the moduli spaces of these structures can be isotropically immersed
in J by means of G2-analogues of Abel-Jacobi maps.
| math.DG math.SG | we study the moduli space of torsionfree g2structures on a fixed compact manifold and define its associated universal intermediate jacobian j we define the yukawa coupling and relate it to a natural pseudokahler structure on j we consider natural chernsimons type functionals whose critical points give associative and coassociative cycles calibrated submanifolds coupled with yangmills connections and also deformed donaldsonthomas connections we show that the moduli spaces of these structures can be isotropically immersed in j by means of g2analogues of abeljacobi maps | [['we', 'study', 'the', 'moduli', 'space', 'of', 'torsionfree', 'g2structures', 'on', 'a', 'fixed', 'compact', 'manifold', 'and', 'define', 'its', 'associated', 'universal', 'intermediate', 'jacobian', 'j', 'we', 'define', 'the', 'yukawa', 'coupling', 'and', 'relate', 'it', 'to', 'a', 'natural', 'pseudokahler', 'structure', 'on', 'j', 'we', 'consider', 'natural', 'chernsimons', 'type', 'functionals', 'whose', 'critical', 'points', 'give', 'associative', 'and', 'coassociative', 'cycles', 'calibrated', 'submanifolds', 'coupled', 'with', 'yangmills', 'connections', 'and', 'also', 'deformed', 'donaldsonthomas', 'connections', 'we', 'show', 'that', 'the', 'moduli', 'spaces', 'of', 'these', 'structures', 'can', 'be', 'isotropically', 'immersed', 'in', 'j', 'by', 'means', 'of', 'g2analogues', 'of', 'abeljacobi', 'maps']] | [-0.2035923088526654, 0.13098676409572363, -0.053888097087421066, 0.10669659989000094, -0.10169295667068715, -0.15422128235762259, -0.008554102754981325, 0.3654938673305257, -0.3043946038659026, -0.20681244654796746, 0.08263833647474601, -0.22613843143690468, -0.24069528840482235, 0.1387050689919284, -0.14137556553795572, -0.03265014951324613, 0.04392228402884495, 0.042362903948964144, -0.13317664162676054, -0.27350875670118713, 0.470316187365026, -0.0244265011875186, 0.21050398825155286, 0.015339138321173888, 0.16470034157278063, -0.00535464474772353, -0.03352180733231873, 0.03268593961760549, -0.21288512887125452, 0.16248540277166929, 0.259697053337288, 0.006064090025951949, 0.11195120406507446, -0.40873044270386055, -0.1697443409130068, 0.19762052050450954, 0.09606499032390009, -0.014420090163717182, 0.048708991156095956, -0.286083762136447, 0.05920113761704869, -0.14001039935775647, -0.14636565281913003, -0.16657143247756745, 0.06280935840204177, 0.036874598854721136, -0.18759848299882056, -0.005902793358162432, 0.04178814335567195, 0.0916343665136615, -0.08944376795581065, -0.0640335234120579, -0.11718798566768628, 0.04785549336272042, -0.01109173318808444, 0.07605106461077656, 0.14070142233153668, -0.08879181136740599, -0.09377463773551692, 0.356976630166173, -0.09106600700264297, -0.2697328576681817, 0.15518058979565777, -0.08934217357579279, -0.17741332276974145, 0.0949827931912207, 0.12066483690414759, 0.17146078130321168, -0.035383423473032916, 0.22479812495081072, -0.06943625678512745, 0.07078404275973033, 0.11380949341471977, -0.007547684064952702, 0.19564548058707903, 0.0909274443416152, 0.0826482016922588, 0.14199696312425658, -0.007022152116050853, -0.07808651388040744, -0.3728390401910718, -0.2128241733511592, -0.0955181620538053, 0.19530962893126033, -0.1514043093001663, -0.18481279094135616, 0.3703267536546308, 0.03874383424408734, 0.22730036260753234, 0.09644369305134183, 0.1401635432763525, 0.032178972083961636, 0.042736770204699986, 0.082494077556653, 0.18022915417053056, 0.25517335693385995, 0.011177067370892206, -0.14873076939001317, -0.13111045075262465, 0.21326204653397748] |
709.2988 | Time reparameterization in Bianchi type I spinor cosmology | The problem of time reparameterization is addressed at both the classical and
quantum levels in a Bianchi-I universe in which the matter source is a massive
Dirac spinor field. We take the scale factors of the metric as the intrinsic
time and their conjugate momenta as the extrinsic time. A scalar character of
the spinor field is identified as a representation of the extrinsic time. The
construction of the field equations and quantization of the model is achieved
by solving the Hamiltonian constraint after time identification has been dealt
with. This procedure leads to a true Hamiltonian whose exact solutions for the
above choices of time are presented
| gr-qc astro-ph hep-th | the problem of time reparameterization is addressed at both the classical and quantum levels in a bianchii universe in which the matter source is a massive dirac spinor field we take the scale factors of the metric as the intrinsic time and their conjugate momenta as the extrinsic time a scalar character of the spinor field is identified as a representation of the extrinsic time the construction of the field equations and quantization of the model is achieved by solving the hamiltonian constraint after time identification has been dealt with this procedure leads to a true hamiltonian whose exact solutions for the above choices of time are presented | [['the', 'problem', 'of', 'time', 'reparameterization', 'is', 'addressed', 'at', 'both', 'the', 'classical', 'and', 'quantum', 'levels', 'in', 'a', 'bianchii', 'universe', 'in', 'which', 'the', 'matter', 'source', 'is', 'a', 'massive', 'dirac', 'spinor', 'field', 'we', 'take', 'the', 'scale', 'factors', 'of', 'the', 'metric', 'as', 'the', 'intrinsic', 'time', 'and', 'their', 'conjugate', 'momenta', 'as', 'the', 'extrinsic', 'time', 'a', 'scalar', 'character', 'of', 'the', 'spinor', 'field', 'is', 'identified', 'as', 'a', 'representation', 'of', 'the', 'extrinsic', 'time', 'the', 'construction', 'of', 'the', 'field', 'equations', 'and', 'quantization', 'of', 'the', 'model', 'is', 'achieved', 'by', 'solving', 'the', 'hamiltonian', 'constraint', 'after', 'time', 'identification', 'has', 'been', 'dealt', 'with', 'this', 'procedure', 'leads', 'to', 'a', 'true', 'hamiltonian', 'whose', 'exact', 'solutions', 'for', 'the', 'above', 'choices', 'of', 'time', 'are', 'presented']] | [-0.17460600600612383, 0.13524381904992172, -0.1043019079801592, 0.06723458417238565, -0.060989952952325066, -0.11544930977807208, -0.004077378298259444, 0.3357512078989573, -0.24703194632160444, -0.32180571418117593, 0.09482628599787993, -0.21470034138635835, -0.10174323783980475, 0.1453104466695718, -0.0014253028806436945, 0.05593767469852335, 0.021586304439956114, 0.09999650669353152, -0.10049575759977517, -0.25542078594918605, 0.3507692917957212, 0.07491144348535238, 0.2435611407617452, 0.01815939601510763, 0.17976347012531566, -0.0171014102374169, -0.01763155219938468, 0.021811777376569808, -0.052342858473787564, 0.061454035271674874, 0.21998042514099292, 0.09395272788565813, 0.2683365365287668, -0.39804507624702873, -0.22916766974392683, 0.08574308088497708, 0.13164898934472283, 0.1400669209079179, -0.0333461302884475, -0.3024602944065851, 0.05314343805959517, -0.09980310264681638, -0.14860938279458355, -0.05642523237124637, 0.004466463457060012, -0.061909069613277634, -0.222418374012233, 0.10261540497756666, 0.08337885766566076, 0.009935554349794984, -0.09690593010573476, -0.09675334894132835, -0.001006655670978405, 0.10632982630179161, 0.10367882671158037, 0.06279025712757613, 0.08345235838916981, -0.16537718081424288, -0.11033224321026527, 0.41833419871033617, -0.07084836955268488, -0.2487719170404253, 0.11512678761587099, -0.09148692323705526, -0.08937483714975382, 0.11394631802492465, 0.14739535918407556, 0.1480265769296912, -0.16263291751103545, 0.18888284075257145, -0.0005070440410808833, 0.12127505903373714, 0.04189694241547302, 0.03561277294324504, 0.2005769771144346, 0.1253196732054844, 0.03681955668273278, 0.1104909557228287, -0.0621772851984672, -0.13199278058191002, -0.3282720898795459, -0.2009832522957435, -0.19744073879836058, 0.0759721083169872, -0.1075707050855541, -0.1637184669919036, 0.44060097800360787, 0.10165889940765703, 0.18948655465134867, 0.055363415827741846, 0.2760229096575468, 0.19852925892768394, 0.07555716386263224, 0.048165690311213476, 0.23208212312655868, 0.13863982549540838, 0.10124978275659184, -0.2520519238724201, 0.007283494840117378, 0.07948210975586402] |
709.2989 | Simulated Annealing: Rigorous finite-time guarantees for optimization on
continuous domains | Simulated annealing is a popular method for approaching the solution of a
global optimization problem. Existing results on its performance apply to
discrete combinatorial optimization where the optimization variables can assume
only a finite set of possible values. We introduce a new general formulation of
simulated annealing which allows one to guarantee finite-time performance in
the optimization of functions of continuous variables. The results hold
universally for any optimization problem on a bounded domain and establish a
connection between simulated annealing and up-to-date theory of convergence of
Markov chain Monte Carlo methods on continuous domains. This work is inspired
by the concept of finite-time learning with known accuracy and confidence
developed in statistical learning theory.
| stat.ML | simulated annealing is a popular method for approaching the solution of a global optimization problem existing results on its performance apply to discrete combinatorial optimization where the optimization variables can assume only a finite set of possible values we introduce a new general formulation of simulated annealing which allows one to guarantee finitetime performance in the optimization of functions of continuous variables the results hold universally for any optimization problem on a bounded domain and establish a connection between simulated annealing and uptodate theory of convergence of markov chain monte carlo methods on continuous domains this work is inspired by the concept of finitetime learning with known accuracy and confidence developed in statistical learning theory | [['simulated', 'annealing', 'is', 'a', 'popular', 'method', 'for', 'approaching', 'the', 'solution', 'of', 'a', 'global', 'optimization', 'problem', 'existing', 'results', 'on', 'its', 'performance', 'apply', 'to', 'discrete', 'combinatorial', 'optimization', 'where', 'the', 'optimization', 'variables', 'can', 'assume', 'only', 'a', 'finite', 'set', 'of', 'possible', 'values', 'we', 'introduce', 'a', 'new', 'general', 'formulation', 'of', 'simulated', 'annealing', 'which', 'allows', 'one', 'to', 'guarantee', 'finitetime', 'performance', 'in', 'the', 'optimization', 'of', 'functions', 'of', 'continuous', 'variables', 'the', 'results', 'hold', 'universally', 'for', 'any', 'optimization', 'problem', 'on', 'a', 'bounded', 'domain', 'and', 'establish', 'a', 'connection', 'between', 'simulated', 'annealing', 'and', 'uptodate', 'theory', 'of', 'convergence', 'of', 'markov', 'chain', 'monte', 'carlo', 'methods', 'on', 'continuous', 'domains', 'this', 'work', 'is', 'inspired', 'by', 'the', 'concept', 'of', 'finitetime', 'learning', 'with', 'known', 'accuracy', 'and', 'confidence', 'developed', 'in', 'statistical', 'learning', 'theory']] | [-0.06560028605972944, 0.012275151398194873, -0.13122376493866678, 0.07795036314156555, -0.07291173289894409, -0.15792312839513886, 0.08766585245688001, 0.3900785842343517, -0.30129159285241497, -0.3067996324363934, 0.13858339665255145, -0.20943409870391327, -0.1457485925730156, 0.22169422526722368, -0.09263552866228249, 0.1400785203614404, 0.09486355944334166, 0.019391139750571353, -0.1290986526103908, -0.2853837478035332, 0.27576518901826247, 0.029466072623820408, 0.2906039049626207, 0.03425278500046419, 0.1596988896059844, 0.02907596385592352, 0.012529091654426379, 0.04934278935872261, -0.1566147320498915, 0.13486313762183746, 0.2585971883295671, 0.17980816857889295, 0.3439007206779459, -0.3934695258412672, -0.2364309255114716, 0.14738317848001, 0.11339810056125989, 0.08328938784745886, -0.06448303339597972, -0.2584266926445391, 0.07915534176661268, -0.10711013675545869, -0.07050880124266057, -0.10138021600129002, -0.06366073622813691, 0.02865007473560779, -0.3225596332922578, 0.05099073908413234, 0.04204582272542884, 0.058351597781090635, -0.06730582636285007, -0.10779059727615474, 0.04326019350884725, 0.0642449073533973, 0.026866484954750733, 0.049577010726637165, 0.12942222651377644, -0.07217433628950105, -0.2087833982689873, 0.3298327133545409, -0.029071344926183962, -0.23510865300245906, 0.21355432327077523, -0.043304613082791155, -0.16898743399297414, 0.11454817159506289, 0.2083078573903312, 0.1934526124564202, -0.16140387818298263, 0.13624999938866772, -0.02178533685434124, 0.15553997753026044, 0.0021933430886786915, -0.042632637457901856, 0.11912590306373717, 0.2235961188926645, 0.12939134987638048, 0.16693495169039005, -0.028038900146645535, -0.1976916908089112, -0.281263331623505, -0.13301186431806697, -0.2185099360006659, 0.028125149189777997, -0.12515247140709898, -0.20724980245627786, 0.38074366059154274, 0.1833357827462153, 0.15280522327546192, 0.13922001105308046, 0.31249792862521564, 0.10633175871043932, -0.011222768502066965, 0.07554877853709395, 0.17634127115749795, 0.12999096459344678, 0.08012138982910826, -0.2132478044975711, 0.08740762112986135, 0.08489415221278171] |
709.299 | On the deduction of galaxy abundances with evolutionary neural networks | A growing number of indicators are now being used with some confidence to
measure the metallicity(Z) of photoionisation regions in planetary nebulae,
galactic HII regions(GHIIRs), extra-galactic HII regions(EGHIIRs) and HII
galaxies(HIIGs). However, a universal indicator valid also at high
metallicities has yet to be found. Here, we report on a new artificial
intelligence-based approach to determine metallicity indicators that shows
promise for the provision of improved empirical fits. The method hinges on the
application of an evolutionary neural network to observational emission line
data. The network's DNA, encoded in its architecture, weights and neuron
transfer functions, is evolved using a genetic algorithm. Furthermore,
selection, operating on a set of 10 distinct neuron transfer functions, means
that the empirical relation encoded in the network solution architecture is in
functional rather than numerical form. Thus the network solutions provide an
equation for the metallicity in terms of line ratios without a priori
assumptions. Tapping into the mathematical power offered by this approach, we
applied the network to detailed observations of both nebula and auroral
emission lines in the optical for a sample of 96 HII-type regions and we were
able to obtain an empirical relation between Z and S23 with a dispersion of
only 0.16 dex. We show how the method can be used to identify new diagnostics
as well as the nonlinear relationship supposed to exist between the metallicity
Z, ionisation parameter U and effective (or equivalent) temperature T*.
| astro-ph | a growing number of indicators are now being used with some confidence to measure the metallicityz of photoionisation regions in planetary nebulae galactic hii regionsghiirs extragalactic hii regionseghiirs and hii galaxieshiigs however a universal indicator valid also at high metallicities has yet to be found here we report on a new artificial intelligencebased approach to determine metallicity indicators that shows promise for the provision of improved empirical fits the method hinges on the application of an evolutionary neural network to observational emission line data the networks dna encoded in its architecture weights and neuron transfer functions is evolved using a genetic algorithm furthermore selection operating on a set of 10 distinct neuron transfer functions means that the empirical relation encoded in the network solution architecture is in functional rather than numerical form thus the network solutions provide an equation for the metallicity in terms of line ratios without a priori assumptions tapping into the mathematical power offered by this approach we applied the network to detailed observations of both nebula and auroral emission lines in the optical for a sample of 96 hiitype regions and we were able to obtain an empirical relation between z and s23 with a dispersion of only 016 dex we show how the method can be used to identify new diagnostics as well as the nonlinear relationship supposed to exist between the metallicity z ionisation parameter u and effective or equivalent temperature t | [['a', 'growing', 'number', 'of', 'indicators', 'are', 'now', 'being', 'used', 'with', 'some', 'confidence', 'to', 'measure', 'the', 'metallicityz', 'of', 'photoionisation', 'regions', 'in', 'planetary', 'nebulae', 'galactic', 'hii', 'regionsghiirs', 'extragalactic', 'hii', 'regionseghiirs', 'and', 'hii', 'galaxieshiigs', 'however', 'a', 'universal', 'indicator', 'valid', 'also', 'at', 'high', 'metallicities', 'has', 'yet', 'to', 'be', 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709.2991 | General Operator Solutions and BRST Quantization of Superstrings in the
pp-Wave with Torsion | We completely accomplish the canonically covariant quantization of
Ramond-Neveu-Schwarz (RNS) superstrings in the pp-wave background with a
non-zero flux of the NS-NS antisymmetric two-form field. Here this flux is
equivalent to a nonvanishing torsion. In this quantization, general operator
solutions, which satisfy the entire equation of motion and all the canonical
(anti)commutation relations, play an important role. The whole of covariant
string coordinates and fermions can be composed of free modes. Moreover,
employing covariant free-mode representations, we calculate the anomaly in the
super-Virasoro algebra and determine the number of dimensions of spacetime and
the ordering constant from the nilpotency condition of the BRST charge in the
pp-wave background with the flux.
| hep-th | we completely accomplish the canonically covariant quantization of ramondneveuschwarz rns superstrings in the ppwave background with a nonzero flux of the nsns antisymmetric twoform field here this flux is equivalent to a nonvanishing torsion in this quantization general operator solutions which satisfy the entire equation of motion and all the canonical anticommutation relations play an important role the whole of covariant string coordinates and fermions can be composed of free modes moreover employing covariant freemode representations we calculate the anomaly in the supervirasoro algebra and determine the number of dimensions of spacetime and the ordering constant from the nilpotency condition of the brst charge in the ppwave background with the flux | [['we', 'completely', 'accomplish', 'the', 'canonically', 'covariant', 'quantization', 'of', 'ramondneveuschwarz', 'rns', 'superstrings', 'in', 'the', 'ppwave', 'background', 'with', 'a', 'nonzero', 'flux', 'of', 'the', 'nsns', 'antisymmetric', 'twoform', 'field', 'here', 'this', 'flux', 'is', 'equivalent', 'to', 'a', 'nonvanishing', 'torsion', 'in', 'this', 'quantization', 'general', 'operator', 'solutions', 'which', 'satisfy', 'the', 'entire', 'equation', 'of', 'motion', 'and', 'all', 'the', 'canonical', 'anticommutation', 'relations', 'play', 'an', 'important', 'role', 'the', 'whole', 'of', 'covariant', 'string', 'coordinates', 'and', 'fermions', 'can', 'be', 'composed', 'of', 'free', 'modes', 'moreover', 'employing', 'covariant', 'freemode', 'representations', 'we', 'calculate', 'the', 'anomaly', 'in', 'the', 'supervirasoro', 'algebra', 'and', 'determine', 'the', 'number', 'of', 'dimensions', 'of', 'spacetime', 'and', 'the', 'ordering', 'constant', 'from', 'the', 'nilpotency', 'condition', 'of', 'the', 'brst', 'charge', 'in', 'the', 'ppwave', 'background', 'with', 'the', 'flux']] | [-0.2019840799949386, 0.19363299080035756, -0.04494796472718008, 0.08507233989657834, -0.11150018707849085, -0.10297600819136608, -0.04222413334487514, 0.2848767029968175, -0.21556394795294512, -0.250788014174693, 0.02791765182363716, -0.24169008720412172, -0.1419074162629179, 0.06931689557704059, -0.061196272655136205, -0.01938105317001993, -0.00542056368960237, 0.12358210934326053, -0.14612545224583962, -0.24004298962060022, 0.3960465522652323, 0.05043270461742808, 0.29429197978990324, -0.001805032535710118, 0.17496048277455636, 0.002161258010363037, -0.02149143579669974, -0.010898426606912504, -0.09006876651176506, 0.08455599731850354, 0.21424828048118136, 0.06610555572181263, 0.07688360923943534, -0.441547624072568, -0.18041743557392195, 0.12589212494309654, 0.15356145842339505, 0.10997258348242295, -0.0025417441756210545, -0.2714686122934588, 0.04447420778438258, -0.17539014884863388, -0.1580230763520707, -0.07666170618666167, 0.021351855871563945, -0.05882756645322926, -0.23213091815229167, 0.10655957234557718, 0.04384753061881797, 0.02666726534000852, -0.1388673441061242, -0.06597854730313304, -0.08258608526931228, 0.08657661697149954, 0.09024521396707066, 0.07661168767477979, 0.1172086728525094, -0.16211266784759407, -0.10412799572064117, 0.3612917475741018, -0.07882493175566196, -0.31779984296722846, 0.05441394988659092, -0.14420338970693675, -0.17720256183635105, 0.106794658920262, 0.06135636693321761, 0.15686573920432817, -0.16613416739485481, 0.20781161585103042, -0.019465321488678456, 0.08662502039541406, 0.11476819082163274, 0.059056724204194985, 0.25685230332680725, 0.03966256028718569, 0.05133939630944621, 0.12142200374404308, -0.020247658536854115, -0.09359682688743554, -0.44449306066063315, -0.1881848443299532, -0.0990640574822795, 0.12747089544824453, -0.131387562538095, -0.19003366372886707, 0.40801201318813995, 0.12565583041869105, 0.12742238634011963, 0.026729370087427512, 0.22290403480556878, 0.16958025178702718, 0.10930374512999234, 0.08286895177919756, 0.23566927483770997, 0.24891030290164054, 0.07978140613677996, -0.2673164912499487, -0.13099944778633388, 0.16157308752563868] |
709.2992 | From matrix models' topological expansion to topological string
theories: counting surfaces with algebraic geometry | The 2-matrix model has been introduced to study Ising model on random
surfaces. Since then, the link between matrix models and combinatorics of
discrete surfaces has strongly tightened. This manuscript aims to investigate
these deep links and extend them beyond the matrix models, following my work's
evolution. First, I take care to define properly the hermitian 2 matrix model
which gives rise to generating functions of discrete surfaces equipped with a
spin structure. Then, I show how to compute all the terms in the topological
expansion of any observable by using algebraic geometry tools. They are
obtained as differential forms on an algebraic curve associated to the model:
the spectral curve. In a second part, I show how to define such differentials
on any algebraic curve even if it does not come from a matrix model. I then
study their numerous symmetry properties under deformations of the algebraic
curve. In particular, I show that these objects coincide with the topological
expansion of the observable of a matrix model if the algebraic curve is the
spectral curve of this model. Finally, I show that fine tuning the parameters
ensure that these objects can be promoted to modular invariants and satisfy the
holomorphic anomaly equation of the Kodaira-Spencer theory. This gives a new
hint that the Dijkgraaf-Vafa conjecture is correct.
| hep-th | the 2matrix model has been introduced to study ising model on random surfaces since then the link between matrix models and combinatorics of discrete surfaces has strongly tightened this manuscript aims to investigate these deep links and extend them beyond the matrix models following my works evolution first i take care to define properly the hermitian 2 matrix model which gives rise to generating functions of discrete surfaces equipped with a spin structure then i show how to compute all the terms in the topological expansion of any observable by using algebraic geometry tools they are obtained as differential forms on an algebraic curve associated to the model the spectral curve in a second part i show how to define such differentials on any algebraic curve even if it does not come from a matrix model i then study their numerous symmetry properties under deformations of the algebraic curve in particular i show that these objects coincide with the topological expansion of the observable of a matrix model if the algebraic curve is the spectral curve of this model finally i show that fine tuning the parameters ensure that these objects can be promoted to modular invariants and satisfy the holomorphic anomaly equation of the kodairaspencer theory this gives a new hint that the dijkgraafvafa conjecture is correct | [['the', '2matrix', 'model', 'has', 'been', 'introduced', 'to', 'study', 'ising', 'model', 'on', 'random', 'surfaces', 'since', 'then', 'the', 'link', 'between', 'matrix', 'models', 'and', 'combinatorics', 'of', 'discrete', 'surfaces', 'has', 'strongly', 'tightened', 'this', 'manuscript', 'aims', 'to', 'investigate', 'these', 'deep', 'links', 'and', 'extend', 'them', 'beyond', 'the', 'matrix', 'models', 'following', 'my', 'works', 'evolution', 'first', 'i', 'take', 'care', 'to', 'define', 'properly', 'the', 'hermitian', '2', 'matrix', 'model', 'which', 'gives', 'rise', 'to', 'generating', 'functions', 'of', 'discrete', 'surfaces', 'equipped', 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709.2993 | The Astronomy and Science Behind the Myth | We show that many ancient Indian mythological legends are really allegorical
depictions of astronomical and other physical phenomena of which the composers
had a good idea. This detail enables us to also use techniques of astronomical
chronology for dating various events.
| physics.gen-ph | we show that many ancient indian mythological legends are really allegorical depictions of astronomical and other physical phenomena of which the composers had a good idea this detail enables us to also use techniques of astronomical chronology for dating various events | [['we', 'show', 'that', 'many', 'ancient', 'indian', 'mythological', 'legends', 'are', 'really', 'allegorical', 'depictions', 'of', 'astronomical', 'and', 'other', 'physical', 'phenomena', 'of', 'which', 'the', 'composers', 'had', 'a', 'good', 'idea', 'this', 'detail', 'enables', 'us', 'to', 'also', 'use', 'techniques', 'of', 'astronomical', 'chronology', 'for', 'dating', 'various', 'events']] | [-0.016474564257077873, 0.0743742691585794, -0.19006022985558957, 0.18154721384344158, -0.19217382655479015, -0.08600566386012361, 0.02569028255529702, 0.3493598414119333, -0.2114831586368382, -0.35636064456775784, 0.14897761587053537, -0.3152564232703298, -0.21621674257330598, 0.29121419549919664, -0.13377031073905526, 0.018932643951848148, 0.07777467838022858, 0.019784523628186435, 0.011823588266270234, -0.265761259989813, 0.2769588083960116, 0.06257627476006747, 0.2693547711707652, 0.028076298453379424, 0.09448402195703239, -0.05830436578253284, -0.10414329785853624, -0.0609724874375388, -0.11120925591767446, 0.16280766972340643, 0.32219650780316444, 0.2536579345352948, 0.26293649871367963, -0.4518304565921426, -0.21788832198362798, 0.0809202851029113, 0.10893497987344744, 0.11455553044506814, -0.053551518148742615, -0.28246086060535164, 0.020092018365539845, -0.20039324080571533, -0.13786890453193337, -0.042685306956991555, 0.06322081778198481, 0.014040547603508457, -0.15735352179035544, 0.01499492625516723, 0.031753284099977463, 0.10215621914248914, -0.029302979074418544, -0.12211132927332073, 0.03525262560870033, 0.25530963292112574, 0.09331509242765605, -0.055698128638323394, 0.09136753997299821, -0.0879374161537271, -0.1383244117256254, 0.41100700171664356, -0.005272889323532581, -0.08838281081989408, 0.30037698354572057, -0.14363969038240612, -0.2200075122411363, 0.05496531260287156, 0.1398558233806398, 0.08374800139572472, -0.21164919905131682, 0.009296984154207166, -0.0727472931612283, 0.12711256770417095, 0.15042607652721926, 0.03287748324219138, 0.2586861127987504, 0.13231398430652916, -0.03998299513041274, 0.0538036414902308, -0.10307455379515887, -0.10037906258367002, -0.19168144608847798, -0.18022831636480988, -0.04738353034481406, 0.05765438107773661, -0.04115724444818625, -0.16358011215925217, 0.3547172479797155, 0.25193795531522484, 0.11148390420712531, -0.04713547830178868, 0.23442083204863592, -0.0779331638244912, 0.0701042026768846, 0.0020689394325017927, 0.2114235485525569, 0.020255719358101488, 0.18152503352612256, -0.09358961504476611, 0.11879154536873102, 0.01185813317715656] |
709.2994 | CP violation at one loop in the polarization-independent chargino
production in e+e- collisions | Recently Osland and Vereshagin noticed, based on sample calculations of some
box diagrams, that in unpolarised e+e- collisions CP-odd effects in the
non-diagonal chargino-pair production process are generated at one-loop. Here
we perform a full one-loop analysis of these effects and point out that in some
cases the neglected vertex and self-energy contributions may play a dominant
role. We also show that CP asymmetries in chargino production are sensitive not
only to the phase of mu parameter in the chargino sector but also to the phase
of stop trilinear coupling A_t.
| hep-ph | recently osland and vereshagin noticed based on sample calculations of some box diagrams that in unpolarised ee collisions cpodd effects in the nondiagonal charginopair production process are generated at oneloop here we perform a full oneloop analysis of these effects and point out that in some cases the neglected vertex and selfenergy contributions may play a dominant role we also show that cp asymmetries in chargino production are sensitive not only to the phase of mu parameter in the chargino sector but also to the phase of stop trilinear coupling a_t | [['recently', 'osland', 'and', 'vereshagin', 'noticed', 'based', 'on', 'sample', 'calculations', 'of', 'some', 'box', 'diagrams', 'that', 'in', 'unpolarised', 'ee', 'collisions', 'cpodd', 'effects', 'in', 'the', 'nondiagonal', 'charginopair', 'production', 'process', 'are', 'generated', 'at', 'oneloop', 'here', 'we', 'perform', 'a', 'full', 'oneloop', 'analysis', 'of', 'these', 'effects', 'and', 'point', 'out', 'that', 'in', 'some', 'cases', 'the', 'neglected', 'vertex', 'and', 'selfenergy', 'contributions', 'may', 'play', 'a', 'dominant', 'role', 'we', 'also', 'show', 'that', 'cp', 'asymmetries', 'in', 'chargino', 'production', 'are', 'sensitive', 'not', 'only', 'to', 'the', 'phase', 'of', 'mu', 'parameter', 'in', 'the', 'chargino', 'sector', 'but', 'also', 'to', 'the', 'phase', 'of', 'stop', 'trilinear', 'coupling', 'a_t']] | [-0.11962518160587197, 0.2261936514523257, -0.06230526932860526, 0.14984213604060478, -0.05902725552323829, -0.12222797285472409, 0.09368898561276663, 0.3575747755220097, -0.21158705501597416, -0.2219666518961613, 0.04185901970335732, -0.33805700626454493, -0.09053836416536837, 0.14839007868954723, 0.073920197130882, 0.024674933194444422, 0.0915385623033462, -0.025150102019058856, -0.0463847075301233, -0.24760324276690737, 0.32487067524762303, 0.024169911013058064, 0.16841318807303068, 0.1778254033265154, 0.0017533741493740778, 0.012472257418348716, -0.06026600449204738, -0.036297071715830756, -0.10512217561564909, -0.01824009696935994, 0.23079691362682353, 0.026830410085791158, 0.1346213279940774, -0.36911046593880026, -0.11060488786485591, 0.1719748123936104, 0.1841643452748991, 0.09490906951551357, -0.07970912381614234, -0.2521245075871101, 0.07453336931367437, -0.20419140010967515, -0.07097277771733869, -0.11008416257309465, 0.011216839022013578, -0.11437305539658063, -0.3262253417110259, 0.08781893405307273, -0.007738714101148791, 0.001954125388825621, 0.0558345855679363, -0.18623728504969497, -0.12194549056094432, 0.08732889423125915, 0.1086121945575879, 0.025528504607382783, 0.16580440751747805, -0.1686219048040155, -0.11695505116982491, 0.389142304072889, -0.07490023215604799, -0.21002757348371356, 0.12604530711836193, -0.22365546512176818, -0.207119019775327, 0.1443072797343386, 0.23936476048312327, 0.09846422684756945, -0.1899836492839824, 0.15609786304543213, 0.027370353354915476, 0.1505303480155541, 0.06537410342971679, 0.08179442198905215, 0.19866028765028113, 0.11220667794807239, 0.002614404445022261, 0.10594839572362351, -0.08277236831144252, -0.12238502144562395, -0.42618265762674007, -0.1002457866842827, -0.07061667698487807, 0.0062931328925259645, -0.05989395309546361, -0.13538698342450883, 0.3633495219930839, 0.16991373041796426, 0.21558996774563619, -0.03258406478660495, 0.2877099501031838, 0.09967052758660878, 0.10251072766991813, 0.031127431843262374, 0.3304533144240686, 0.12078274078039306, 0.09270983987770388, -0.25373044603221706, 0.03970595106241827, 0.06758795988620415] |
709.2995 | C*-pseudo-multiplicative unitaries | We introduce $C^*$-pseudo-multiplicative unitaries and (concrete) Hopf
$C^*$-bimodules, which are $C^*$-algebraic variants of the
pseudo-multiplicative unitaries on Hilbert spaces and the Hopf-von
Neumann-bimodules studied by Enock, Lesieur, Vallin. Moreover, we associate to
every regular $C^*$-pseudo-multiplicative unitary two Hopf-$C^*$-bimodules and
discuss examples related to locally compact groupoids.
| math.OA | we introduce cpseudomultiplicative unitaries and concrete hopf cbimodules which are calgebraic variants of the pseudomultiplicative unitaries on hilbert spaces and the hopfvon neumannbimodules studied by enock lesieur vallin moreover we associate to every regular cpseudomultiplicative unitary two hopfcbimodules and discuss examples related to locally compact groupoids | [['we', 'introduce', 'cpseudomultiplicative', 'unitaries', 'and', 'concrete', 'hopf', 'cbimodules', 'which', 'are', 'calgebraic', 'variants', 'of', 'the', 'pseudomultiplicative', 'unitaries', 'on', 'hilbert', 'spaces', 'and', 'the', 'hopfvon', 'neumannbimodules', 'studied', 'by', 'enock', 'lesieur', 'vallin', 'moreover', 'we', 'associate', 'to', 'every', 'regular', 'cpseudomultiplicative', 'unitary', 'two', 'hopfcbimodules', 'and', 'discuss', 'examples', 'related', 'to', 'locally', 'compact', 'groupoids']] | [-0.11570818870413033, 0.15042108911174265, -0.03304716411300681, 0.12317777657881379, -0.06559596687227233, -0.2131101985208013, -0.008435267605818808, 0.43773758521472866, -0.3365900491110303, -0.09035045843285677, 0.13936124101746827, -0.2288956845983524, -0.16717700423164802, 0.20549285096455028, -0.2299930858425796, 0.0018188193842599337, 0.050631645918739115, 0.07117332327602939, -0.16490291408263147, -0.29203903422669764, 0.4654669397595254, -0.028792293996296146, 0.17212801985442638, -0.04399759200697934, 0.12048242839624766, 0.011057469760999084, -0.0436948084825417, -0.02011360542383045, -0.19288655489005826, 0.0934000627815046, 0.32643186512657185, 0.06562144160059026, 0.21731954459524291, -0.3593107648266596, -0.10233547705733641, 0.16191986067728562, 0.04247742459516634, -0.006379307668380948, -0.015046785270731727, -0.4346356518693607, 0.07153969680604694, -0.23517272308130155, -0.042335993160536003, -0.19671120316806165, 0.0547293884976005, -0.044640496648340064, -0.20110338272272862, -0.04883887921459973, 0.1258574978617782, 0.054175484078851616, -0.02598334447777068, -0.034338850443336094, -0.052111698166382586, 0.05562197470466013, -0.1639505995183506, -0.02549675763161345, 0.1384215858878716, 0.055560467108576136, -0.23778339865913783, 0.3061206489801407, -0.007563105448339643, -0.21860115509480238, 0.2020529777854046, -0.14261102453085847, -0.21097918979781258, -0.0035580559316175904, 0.048815016423098066, 0.1296442604877732, -0.06337985071480613, 0.20454176371012264, -0.13057695056142454, 0.0018307537856427107, 0.14281418882522054, 0.06356495280157436, 0.003863660391123796, 0.01717022510076111, 0.09246608658312735, 0.2011076757282188, 0.1005838131584989, -0.0680678639050298, -0.32171310509809037, -0.18900118897330354, -0.06982259940758179, 0.1285168547024527, -0.03148104296897972, -0.15991476898885926, 0.4115300114393573, 0.06307898660783064, 0.15279141581744293, 0.11705671600330705, 0.1433587469668551, 0.01954144162697379, 0.058786888167643075, 0.10221216626549987, 0.06370820659636096, 0.295142027343073, -0.060539796387522736, -0.10274490244178609, -0.10620911251118575, 0.2526266932572154] |
709.2996 | Entanglement-free Heisenberg-limited phase estimation | Measurement underpins all quantitative science. A key example is the
measurement of optical phase, used in length metrology and many other
applications. Advances in precision measurement have consistently led to
important scientific discoveries. At the fundamental level, measurement
precision is limited by the number N of quantum resources (such as photons)
that are used. Standard measurement schemes, using each resource independently,
lead to a phase uncertainty that scales as 1/sqrt(N) - known as the standard
quantum limit. However, it has long been conjectured that it should be possible
to achieve a precision limited only by the Heisenberg uncertainty principle,
dramatically improving the scaling to 1/N. It is commonly thought that
achieving this improvement requires the use of exotic quantum entangled states,
such as the NOON state. These states are extremely difficult to generate.
Measurement schemes with counted photons or ions have been performed with N <=
6, but few have surpassed the standard quantum limit and none have shown
Heisenberg-limited scaling. Here we demonstrate experimentally a
Heisenberg-limited phase estimation procedure. We replace entangled input
states with multiple applications of the phase shift on unentangled
single-photon states. We generalize Kitaev's phase estimation algorithm using
adaptive measurement theory to achieve a standard deviation scaling at the
Heisenberg limit. For the largest number of resources used (N = 378), we
estimate an unknown phase with a variance more than 10 dB below the standard
quantum limit; achieving this variance would require more than 4,000 resources
using standard interferometry. Our results represent a drastic reduction in the
complexity of achieving quantum-enhanced measurement precision.
| quant-ph | measurement underpins all quantitative science a key example is the measurement of optical phase used in length metrology and many other applications advances in precision measurement have consistently led to important scientific discoveries at the fundamental level measurement precision is limited by the number n of quantum resources such as photons that are used standard measurement schemes using each resource independently lead to a phase uncertainty that scales as 1sqrtn known as the standard quantum limit however it has long been conjectured that it should be possible to achieve a precision limited only by the heisenberg uncertainty principle dramatically improving the scaling to 1n it is commonly thought that achieving this improvement requires the use of exotic quantum entangled states such as the noon state these states are extremely difficult to generate measurement schemes with counted photons or ions have been performed with n 6 but few have surpassed the standard quantum limit and none have shown heisenberglimited scaling here we demonstrate experimentally a heisenberglimited phase estimation procedure we replace entangled input states with multiple applications of the phase shift on unentangled singlephoton states we generalize kitaevs phase estimation algorithm using adaptive measurement theory to achieve a standard deviation scaling at the heisenberg limit for the largest number of resources used n 378 we estimate an unknown phase with a variance more than 10 db below the standard quantum limit achieving this variance would require more than 4000 resources using standard interferometry our results represent a drastic reduction in the complexity of achieving quantumenhanced measurement precision | [['measurement', 'underpins', 'all', 'quantitative', 'science', 'a', 'key', 'example', 'is', 'the', 'measurement', 'of', 'optical', 'phase', 'used', 'in', 'length', 'metrology', 'and', 'many', 'other', 'applications', 'advances', 'in', 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709.2997 | Two polynomial representations of experimental design | In the context of algebraic statistics an experimental design is described by
a set of polynomials called the design ideal. This, in turn, is generated by
finite sets of polynomials. Two types of generating sets are mostly used in the
literature: Groebner bases and indicator functions. We briefly describe them
both, how they are used in the analysis and planning of a design and how to
switch between them. Examples include fractions of full factorial designs and
designs for mixture experiments.
| stat.ME stat.CO | in the context of algebraic statistics an experimental design is described by a set of polynomials called the design ideal this in turn is generated by finite sets of polynomials two types of generating sets are mostly used in the literature groebner bases and indicator functions we briefly describe them both how they are used in the analysis and planning of a design and how to switch between them examples include fractions of full factorial designs and designs for mixture experiments | [['in', 'the', 'context', 'of', 'algebraic', 'statistics', 'an', 'experimental', 'design', 'is', 'described', 'by', 'a', 'set', 'of', 'polynomials', 'called', 'the', 'design', 'ideal', 'this', 'in', 'turn', 'is', 'generated', 'by', 'finite', 'sets', 'of', 'polynomials', 'two', 'types', 'of', 'generating', 'sets', 'are', 'mostly', 'used', 'in', 'the', 'literature', 'groebner', 'bases', 'and', 'indicator', 'functions', 'we', 'briefly', 'describe', 'them', 'both', 'how', 'they', 'are', 'used', 'in', 'the', 'analysis', 'and', 'planning', 'of', 'a', 'design', 'and', 'how', 'to', 'switch', 'between', 'them', 'examples', 'include', 'fractions', 'of', 'full', 'factorial', 'designs', 'and', 'designs', 'for', 'mixture', 'experiments']] | [-0.10412680860723794, 0.09685999061499095, -0.06786678261181087, 0.08538870828047992, -0.05332199653127679, -0.08727746243002238, 0.029402298611347324, 0.3820601883171885, -0.27817020539976195, -0.24865473315901596, 0.13756417810204036, -0.2572407228211056, -0.18279519763395743, 0.2636400467060782, -0.06532430032521118, 0.05150400359689453, 0.026879654334927047, -0.026984313928326707, -0.0701618523604271, -0.28713048603615643, 0.33314157961465324, 0.028045927576812697, 0.29178222445886076, -0.03163378372684949, 0.08779480761882884, -0.024040645396589864, -0.08581216561458545, 0.03327457049292409, -0.13563113029540322, 0.16680922115474572, 0.3415764471355044, 0.21756351618441166, 0.24562519389193183, -0.414338466791827, -0.09913658408195149, 0.1331319720081893, 0.11662272304112528, 0.07151051008223015, -0.03738127310794813, -0.2112474103262763, 0.06644618214556465, -0.18973290992118877, -0.11769549778007247, -0.14787614677765373, -0.0006835543044647317, 0.09544820425870978, -0.27578332150975865, -0.0420435144836198, 0.059976152782500895, 0.09624165693228995, -0.008433338098032515, -0.147962586458393, 0.027140770633532492, 0.10936854161138151, -0.028929300198078524, -0.035090383188224133, 0.09735990952654386, -0.111288125284683, -0.18967259776157638, 0.3815517803355132, 0.029797496584554512, -0.2878541258842121, 0.1889574317905454, -0.11009173710359099, -0.10287757151196768, 0.06887224697174481, 0.1895925263862735, 0.08477498959450994, -0.14823849798168665, 0.05618715806827194, -0.054826205021437306, 0.11067485252832189, 0.06771042181558355, 0.014480377466958246, 0.19600090804728276, 0.1224995821198437, -0.013341379466892025, 0.19584285015424277, -0.017459604861128523, -0.08881813559658182, -0.33337216222239086, -0.1302888512864341, -0.1629232544032282, -0.02439231329948216, -0.0543337024390456, -0.17824794014018994, 0.4242891878993423, 0.1425400521767176, 0.17607155380149683, 0.0243584658421668, 0.2720153384531538, 0.07341887254464112, 0.0507828539904253, 0.02044949596632778, 0.16754865300853128, 0.14631118465008008, 0.0347238385727928, -0.15591756975347246, 0.06337540177628398, 0.08835770328885612] |
709.2998 | Cavity-assisted spontaneous emission as a single-photon source: Pulse
shape and efficiency of one-photon Fock state preparation | Within the framework of exact quantum electrodynamics in dispersing and
absorbing media, we have studied the quantum state of the radiation emitted
from an initially in the upper state prepared two-level atom in a high-$Q$
cavity, including the regime where the emitted photon belongs to a wave packet
that simultaneously covers the areas inside and outside the cavity. For both
continuing atom--field interaction and short-term atom--field interaction, we
have determined the spatio-temporal shape of the excited outgoing wave packet
and calculated the efficiency of the wave packet to carry a one-photon Fock
state. Furthermore, we have made contact with quantum noise theories where the
intracavity field and the field outside the cavity are regarded as
approximately representing independent degrees of freedom such that two
separate Hilbert spaces can be introduced.
| quant-ph | within the framework of exact quantum electrodynamics in dispersing and absorbing media we have studied the quantum state of the radiation emitted from an initially in the upper state prepared twolevel atom in a highq cavity including the regime where the emitted photon belongs to a wave packet that simultaneously covers the areas inside and outside the cavity for both continuing atomfield interaction and shortterm atomfield interaction we have determined the spatiotemporal shape of the excited outgoing wave packet and calculated the efficiency of the wave packet to carry a onephoton fock state furthermore we have made contact with quantum noise theories where the intracavity field and the field outside the cavity are regarded as approximately representing independent degrees of freedom such that two separate hilbert spaces can be introduced | [['within', 'the', 'framework', 'of', 'exact', 'quantum', 'electrodynamics', 'in', 'dispersing', 'and', 'absorbing', 'media', 'we', 'have', 'studied', 'the', 'quantum', 'state', 'of', 'the', 'radiation', 'emitted', 'from', 'an', 'initially', 'in', 'the', 'upper', 'state', 'prepared', 'twolevel', 'atom', 'in', 'a', 'highq', 'cavity', 'including', 'the', 'regime', 'where', 'the', 'emitted', 'photon', 'belongs', 'to', 'a', 'wave', 'packet', 'that', 'simultaneously', 'covers', 'the', 'areas', 'inside', 'and', 'outside', 'the', 'cavity', 'for', 'both', 'continuing', 'atomfield', 'interaction', 'and', 'shortterm', 'atomfield', 'interaction', 'we', 'have', 'determined', 'the', 'spatiotemporal', 'shape', 'of', 'the', 'excited', 'outgoing', 'wave', 'packet', 'and', 'calculated', 'the', 'efficiency', 'of', 'the', 'wave', 'packet', 'to', 'carry', 'a', 'onephoton', 'fock', 'state', 'furthermore', 'we', 'have', 'made', 'contact', 'with', 'quantum', 'noise', 'theories', 'where', 'the', 'intracavity', 'field', 'and', 'the', 'field', 'outside', 'the', 'cavity', 'are', 'regarded', 'as', 'approximately', 'representing', 'independent', 'degrees', 'of', 'freedom', 'such', 'that', 'two', 'separate', 'hilbert', 'spaces', 'can', 'be', 'introduced']] | [-0.16357610969884823, 0.23429525444886307, -0.04492642430302042, 0.0019380102162428487, 0.01908826484129979, -0.1415860132708286, 0.028072353336924257, 0.39075144360988184, -0.22638267687020394, -0.24415324590383813, 0.01889544438588648, -0.29684419873385476, -0.06685591004788875, 0.17043570398639601, 0.03599662370442484, 0.06525191831975602, 0.02394307046913757, 0.05232425520841319, 0.005930190286240898, -0.16994562111884498, 0.3359348148322449, 0.031843837254788156, 0.2604641622075668, 0.026786117778661158, 0.12111853076718175, 0.035175013753513874, 0.0567286101456445, -0.015359612282078999, -0.07924130011692446, 0.07309882943160259, 0.26099830477659663, 0.09461771882214144, 0.26294242059095546, -0.47912625168235257, -0.24817626067938714, 0.05688630468212068, 0.1708298871974246, 0.14701273592833716, -0.017062324438190373, -0.3580899946463223, -0.047629326857769716, -0.18592855862986582, -0.1577034049989799, -0.014599786061220444, 0.007087451149709522, 0.019650658664221946, -0.24011867569687848, 0.03340905218904552, 0.022689693061133418, -0.007315200608662473, -0.058703648653597784, -0.0341397474376628, -0.028518495042450152, 0.10812686235070802, -0.01692413492128253, 0.024812573848220592, 0.16332620632691452, -0.15559845361142205, -0.08814419936746933, 0.35682073248227913, -0.08350597416865639, -0.1942110982264589, 0.13710224276695113, -0.1618282242154237, -0.021421001313361696, 0.1697320646024309, 0.17871324435377922, 0.09156739075954717, -0.0981998412260929, 0.06595994382872819, -0.016659342113976332, 0.1918510719623345, 0.13453914368919168, 0.15402412611561325, 0.1974069872038224, 0.11141429534898355, 0.0006371868183263219, 0.19975120541012775, -0.10976095036245309, -0.1646916131681512, -0.3048414544381488, -0.1410934991310709, -0.21516188179644255, 0.06961636752026747, -0.05569341867533065, -0.16682614722074224, 0.4115286282693537, 0.11778871888348547, 0.13214410851494623, -0.0340777738019824, 0.28245296327289765, 0.16402007196044835, 0.029144898576375384, 0.08852055573549408, 0.33372778547211335, 0.17457881873975006, 0.06460129656614019, -0.25646697181957556, -0.01724803285816541, -0.003062722394959285] |
709.2999 | A Criterion for Precompactness in the Space of Hypermeasures | Let $Q$ denote the space of signed measures on the Borel $\sigma$-algebra of
a separable complete space $X$. We endow $Q$ with the norm $\|q\|=\sup|\int\phi
dq|$, where the supremum is taken over all Lipschitz with constant 1 functions
whose module does not exceed unity. This normed space is incomplete provided
$X$ is infinite and has at least one limit point. We call its completion the
space of hypermeasures. Necessary and sufficient conditions for precompactness
(=relative compactness) of a set of hypermeasures are found. They are similar
to those of Prokhorov's and Fernique's theorems for measures.
| math.FA | let q denote the space of signed measures on the borel sigmaalgebra of a separable complete space x we endow q with the norm qsupintphi dq where the supremum is taken over all lipschitz with constant 1 functions whose module does not exceed unity this normed space is incomplete provided x is infinite and has at least one limit point we call its completion the space of hypermeasures necessary and sufficient conditions for precompactness relative compactness of a set of hypermeasures are found they are similar to those of prokhorovs and ferniques theorems for measures | [['let', 'q', 'denote', 'the', 'space', 'of', 'signed', 'measures', 'on', 'the', 'borel', 'sigmaalgebra', 'of', 'a', 'separable', 'complete', 'space', 'x', 'we', 'endow', 'q', 'with', 'the', 'norm', 'qsupintphi', 'dq', 'where', 'the', 'supremum', 'is', 'taken', 'over', 'all', 'lipschitz', 'with', 'constant', '1', 'functions', 'whose', 'module', 'does', 'not', 'exceed', 'unity', 'this', 'normed', 'space', 'is', 'incomplete', 'provided', 'x', 'is', 'infinite', 'and', 'has', 'at', 'least', 'one', 'limit', 'point', 'we', 'call', 'its', 'completion', 'the', 'space', 'of', 'hypermeasures', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'precompactness', 'relative', 'compactness', 'of', 'a', 'set', 'of', 'hypermeasures', 'are', 'found', 'they', 'are', 'similar', 'to', 'those', 'of', 'prokhorovs', 'and', 'ferniques', 'theorems', 'for', 'measures']] | [-0.13822608823766527, 0.12295299310885045, -0.08733637225795184, 0.07143583953755138, -0.06530077321930668, -0.11113586591091007, 0.02860127669713541, 0.37515540457452123, -0.2904703128354057, -0.16422238326429026, 0.13533351645784694, -0.29586067396904464, -0.048214497884897435, 0.18740389755238657, -0.13748398403454895, 0.016617159793816467, 0.03984492945322848, 0.13723110655606116, -0.13117177895417073, -0.28345874630157714, 0.3875287004959081, -0.04232622446168376, 0.19300550658954307, 0.04410225566749906, 0.17005713812439985, 0.014011244638822973, -0.02179042879826106, 0.035123195389093344, -0.18480004884464585, 0.10081544301330882, 0.24083878905714853, 0.16701468546449652, 0.30360925124715205, -0.31300333832674054, -0.14931112502033458, 0.2706901991699377, 0.09616369915032841, -0.0940658156355114, 0.07389855874909858, -0.25603987839903036, 0.17202438020309352, -0.12080430453541972, -0.11643013505406839, -0.09331872965128202, 0.07640637622882976, 0.04108539870535226, -0.3308343789287154, -0.006272487114588527, 0.10417253905491278, 0.06407497393513989, -0.10042705005996497, -0.13616769092724376, -0.06633647070924306, 0.10022388688167153, -0.030380844070231946, 0.10045339846882322, 0.07525762670632938, -0.02911013694550923, -0.09185178115781721, 0.38080321218939905, -0.06303812871160715, -0.24434104035152932, 0.15189739295949592, -0.26239583903478214, -0.10011388440920121, 0.13005425552230165, 0.1067133259544473, 0.1330074962714444, -0.03627619560322036, 0.205938329052752, -0.09360913642803612, 0.10158113335700877, 0.06475957671342336, 0.08859605846784847, 0.1288229927278893, 0.10468236815801862, 0.14242809703168663, 0.10817016058591315, -0.013665774520790286, -0.029103379206271315, -0.395837206211265, -0.14699521693451653, -0.19929239818062025, 0.10352228678343438, -0.1413596006783811, -0.19625207652216373, 0.3039449232367232, 0.06656222807688882, 0.197598605963361, 0.12380487291628252, 0.2109559786344028, 0.12151575110344667, 0.036808859397475004, 0.07787754677701741, 0.1387556296489809, 0.16918739247257295, -0.00034551777618775225, -0.0950060369062197, 0.06418179421503421, 0.14217917235952843] |
709.3 | Cool carbon stars in the halo: new very red or distant objects | The goal of this paper is to present and analyse a new sample of cool carbon
(C)stars located in the halo. Twenty three new C stars were discovered. Spectra
are typical of N-type stars with C2 and CN bands and sometimes Halpha in
emission. ... Four objects are particularly red with J-K > 3, with 2 located at
more than 5 kpc. from the Galactic plane. Eight additional objects with similar
properties are found in the literature and our previous works. These 12 C stars
could be useful to study mass loss at low metallicity. Two objects are at
distances of 95 and 110 kpc. They are located in the region with galactocentric
Z < -60 kpc in which the model of Law et al. predicts the Sgr stream to have a
loop. (Abstact abridged)
| astro-ph | the goal of this paper is to present and analyse a new sample of cool carbon cstars located in the halo twenty three new c stars were discovered spectra are typical of ntype stars with c2 and cn bands and sometimes halpha in emission four objects are particularly red with jk 3 with 2 located at more than 5 kpc from the galactic plane eight additional objects with similar properties are found in the literature and our previous works these 12 c stars could be useful to study mass loss at low metallicity two objects are at distances of 95 and 110 kpc they are located in the region with galactocentric z 60 kpc in which the model of law et al predicts the sgr stream to have a loop abstact abridged | [['the', 'goal', 'of', 'this', 'paper', 'is', 'to', 'present', 'and', 'analyse', 'a', 'new', 'sample', 'of', 'cool', 'carbon', 'cstars', 'located', 'in', 'the', 'halo', 'twenty', 'three', 'new', 'c', 'stars', 'were', 'discovered', 'spectra', 'are', 'typical', 'of', 'ntype', 'stars', 'with', 'c2', 'and', 'cn', 'bands', 'and', 'sometimes', 'halpha', 'in', 'emission', 'four', 'objects', 'are', 'particularly', 'red', 'with', 'jk', '3', 'with', '2', 'located', 'at', 'more', 'than', '5', 'kpc', 'from', 'the', 'galactic', 'plane', 'eight', 'additional', 'objects', 'with', 'similar', 'properties', 'are', 'found', 'in', 'the', 'literature', 'and', 'our', 'previous', 'works', 'these', '12', 'c', 'stars', 'could', 'be', 'useful', 'to', 'study', 'mass', 'loss', 'at', 'low', 'metallicity', 'two', 'objects', 'are', 'at', 'distances', 'of', '95', 'and', '110', 'kpc', 'they', 'are', 'located', 'in', 'the', 'region', 'with', 'galactocentric', 'z', '60', 'kpc', 'in', 'which', 'the', 'model', 'of', 'law', 'et', 'al', 'predicts', 'the', 'sgr', 'stream', 'to', 'have', 'a', 'loop', 'abstact', 'abridged']] | [-0.06255996778504283, 0.11956905137182335, -0.028027418769810717, 0.05040440365018053, -0.05866443059933265, -0.11509028364442563, 0.04963748707908796, 0.447630250954446, -0.13664428348020288, -0.41081178842382576, 0.04794531314054376, -0.33871269881910154, -0.014413782697569096, 0.19362592727535952, -0.05738048121277136, -0.05181170929443688, 0.032648571314137315, -0.051925136416240504, -0.045624633224588595, -0.2845883652059546, 0.2821545744855099, 0.02635789678595562, 0.13163828092648555, -0.051995972974780404, -0.00022163062946487018, -0.14839243686594467, -0.053509038450011544, -0.018252467665508504, -0.1214727914166985, 0.09232012666530821, 0.24428529712506605, 0.0891557096269067, 0.20535592028146027, -0.3213036668036228, -0.18306040414075814, 0.029267924930189402, 0.20320343572685481, 0.04582663520527221, -0.04461591605700016, -0.24722636388685867, 0.12196583174282813, -0.1354558562028101, -0.19066761468913945, 0.09199998037487922, 0.07202843655583285, 0.034995917838692436, -0.1890469699074294, 0.12778144664547, 0.02286922811390121, 0.13648758505876282, -0.051507341129819056, -0.19679703907543467, -0.07537332740221314, 0.07022109160285073, -0.004552008330871756, 0.10569305156130088, 0.15677711707433217, -0.06525231440523142, -0.02655160801044402, 0.41506959815004857, -0.06045208520752303, -0.014866551331009802, 0.27120849158159877, -0.2348615175525423, -0.17996861725576394, 0.1329820552904813, 0.15724453453564632, 0.16425619652177756, -0.19822064647095577, 0.024087198622274136, -0.026968695305088778, 0.16263208898381537, 0.0852502815190788, 0.06833380002898114, 0.29442872863461955, 0.10164505348519515, 0.018056817400759755, 0.0796776217513341, -0.26467882202874216, -0.04082792494597112, -0.24189956535279522, -0.09673315126498636, -0.07250784560442611, 0.022443950609908305, -0.11378967239757384, -0.08218326176452728, 0.3278576974905423, 0.10043588692130422, 0.26249430627199527, 0.052545329144416474, 0.23518583621431627, 0.046333692104996445, 0.1216099436505065, 0.17071151754548702, 0.3209595152226682, 0.15646210198383068, 0.08087550777984598, -0.13686108259477062, 0.0217634828526612, -0.018235957001172403] |
709.3001 | Description of superdeformed bands in light N=Z nuclei using the cranked
HFB method | Superdeformed states in light $N=Z$ nuclei are studied by means of the
self-consistent cranking calculation (i.e., the P + QQ model based on the
cranked Hartree-Fock-Bogoliubov method). Analyses are given for two typical
cases of superdeformed bands in the $A \simeq 40$ mass region, that is, bands
where backbending is absent ($^{40}$Ca) and present ($^{36}$Ar). Investigations
are carried out, particularly for the following points: cross-shell excitations
in the sd and pf shells; the role of the g$_{9/2}$ and d$_{5/2}$ orbitals; the
effect of the nuclear pairing; and the interplay between triaxiality and band
termination.
| nucl-th | superdeformed states in light nz nuclei are studied by means of the selfconsistent cranking calculation ie the p qq model based on the cranked hartreefockbogoliubov method analyses are given for two typical cases of superdeformed bands in the a simeq 40 mass region that is bands where backbending is absent 40ca and present 36ar investigations are carried out particularly for the following points crossshell excitations in the sd and pf shells the role of the g_92 and d_52 orbitals the effect of the nuclear pairing and the interplay between triaxiality and band termination | [['superdeformed', 'states', 'in', 'light', 'nz', 'nuclei', 'are', 'studied', 'by', 'means', 'of', 'the', 'selfconsistent', 'cranking', 'calculation', 'ie', 'the', 'p', 'qq', 'model', 'based', 'on', 'the', 'cranked', 'hartreefockbogoliubov', 'method', 'analyses', 'are', 'given', 'for', 'two', 'typical', 'cases', 'of', 'superdeformed', 'bands', 'in', 'the', 'a', 'simeq', '40', 'mass', 'region', 'that', 'is', 'bands', 'where', 'backbending', 'is', 'absent', '40ca', 'and', 'present', '36ar', 'investigations', 'are', 'carried', 'out', 'particularly', 'for', 'the', 'following', 'points', 'crossshell', 'excitations', 'in', 'the', 'sd', 'and', 'pf', 'shells', 'the', 'role', 'of', 'the', 'g_92', 'and', 'd_52', 'orbitals', 'the', 'effect', 'of', 'the', 'nuclear', 'pairing', 'and', 'the', 'interplay', 'between', 'triaxiality', 'and', 'band', 'termination']] | [-0.12243017374433987, 0.15062207423440951, -0.07077017536647218, 0.14598986521233073, 0.05579977994784713, -0.11118750009931103, 0.08327596735519667, 0.3605023706031422, -0.16013754055564922, -0.2406591668559779, -0.046530521803996173, -0.33118143502963326, -0.047972975018364124, 0.1412149115580745, 0.09316914679666591, -0.018472132733672538, 0.025569105364685197, -0.05443011941288107, -0.1246203257206587, -0.14069778606125344, 0.3387678170123548, 0.06454744458859486, 0.25897742811870833, 0.07269318282143564, -0.02058022566920807, 0.04782199074003485, 0.05741705429509923, -0.0573406829559928, -0.1245110389587666, 0.04865074024247963, 0.2673790764845332, -0.01687899667028618, 0.21116638382000508, -0.42400410152491064, -0.15768614858989755, 0.045849654267752366, 0.17820810914660493, 0.1068061484984355, -0.04243278961693768, -0.29189801154037315, 0.03214893091009349, -0.20755332756427028, -0.14324263008111107, -0.08929201096837078, 0.07158588208959148, 0.05623131699519612, -0.22063602815552424, 0.11297549962276413, 0.019466210997873736, 0.10166947449487383, -0.1345964377290339, -0.24356084877765308, -0.09692588288296936, 0.015955158153809205, 0.09454806872408196, 0.016211048069019473, 0.13745207194819725, -0.058552630736382415, -0.042449360703348475, 0.43057272816577585, 0.046053809113800526, -0.1223031198105184, 0.10826541933040786, -0.1492103511863138, -0.11741157990169301, 0.1481461634418817, 0.0939852450955509, 0.1308482877399412, -0.09394740816506167, 0.1174807391568808, -0.015337701476309248, 0.1543925182883858, 0.02991512882171489, 0.035890777869480514, 0.18789558380501725, 0.16450294786162914, -0.0472255470143551, 0.04727878019724402, -0.23099326311049842, -0.1439025699128447, -0.2884762399499455, -0.07744321497707998, -0.16302948240791598, -0.047447026126407166, 0.010543071446591057, -0.09774355034554197, 0.4120465449166424, -0.005336743929693776, 0.163104367031846, -0.06475943544258674, 0.21699547138746067, 0.08785185591888524, 0.030179222019249073, 0.0901943584237503, 0.3318776075918508, 0.2073225145633783, -0.012246888627858972, -0.32775010583141156, 0.0035897564463397507, 0.04440861741460795] |
709.3002 | A generalized Principle of Relativity | In this paper we bring to light an hitherto undisclosed richness of this
Theory, namely its admitting a consistent reformulation which is able to
provide a unified scenario for all kinds of particles, be they lightlike or
not. This result hinges on a "generalized" Principle of Relativity which is
{intrinsic} to Einstein's Theory. The road leading to this generalization
starts, in the very spirit of Relativity, from enhancing full equivalence
between the four spacetime directions by requiring full equivalence between the
"motions" along these four spacetime directions as well. So far, no measurable
spatial velocity in the direction of the time axis has ever been defined, on
the same footing of the usual velocities in the local three-space of a given
observer. In this paper, we show how Relativity allows such a "time-velocity"
to be defined in a very natural way, for any particle and in any reference
frame. As a consequence of this natural definition, it also follows that the
time- and space-velocity vectors sum up to define a spacelike "world-velocity"
vector, the modulus of which turns out to be equal to the Maxwell's constant c,
irrespective of the observer who measures it. This {measurable} world-velocity
therefore represents the speed at which "all" kinds of particles move in
spacetime, according to any observer. As remarked above, the unifying scenario
thus emerging is intrinsic to Einstein's Theory; it extends the role
traditionally assigned to Maxwell's constant c, and can therefore justly be
referred to as "a generalized Principle of Relativity".
| gr-qc | in this paper we bring to light an hitherto undisclosed richness of this theory namely its admitting a consistent reformulation which is able to provide a unified scenario for all kinds of particles be they lightlike or not this result hinges on a generalized principle of relativity which is intrinsic to einsteins theory the road leading to this generalization starts in the very spirit of relativity from enhancing full equivalence between the four spacetime directions by requiring full equivalence between the motions along these four spacetime directions as well so far no measurable spatial velocity in the direction of the time axis has ever been defined on the same footing of the usual velocities in the local threespace of a given observer in this paper we show how relativity allows such a timevelocity to be defined in a very natural way for any particle and in any reference frame as a consequence of this natural definition it also follows that the time and spacevelocity vectors sum up to define a spacelike worldvelocity vector the modulus of which turns out to be equal to the maxwells constant c irrespective of the observer who measures it this measurable worldvelocity therefore represents the speed at which all kinds of particles move in spacetime according to any observer as remarked above the unifying scenario thus emerging is intrinsic to einsteins theory it extends the role traditionally assigned to maxwells constant c and can therefore justly be referred to as a generalized principle of relativity | [['in', 'this', 'paper', 'we', 'bring', 'to', 'light', 'an', 'hitherto', 'undisclosed', 'richness', 'of', 'this', 'theory', 'namely', 'its', 'admitting', 'a', 'consistent', 'reformulation', 'which', 'is', 'able', 'to', 'provide', 'a', 'unified', 'scenario', 'for', 'all', 'kinds', 'of', 'particles', 'be', 'they', 'lightlike', 'or', 'not', 'this', 'result', 'hinges', 'on', 'a', 'generalized', 'principle', 'of', 'relativity', 'which', 'is', 'intrinsic', 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709.3003 | Coherent backscattering of ultrasound without a source | Coherent backscattering is due to constructive interferences of reciprocal
paths and leads to an enhancement of the intensity of a multiply scattered
field near its source. To observe this enhancement an array of receivers is
conventionally placed close to the source. Our approach here is different. In a
first experiment, we recover the coherent backscattering effect (CBE) within an
array of sources and a distant receiver using time correlation of diffuse
fields. The enhancement cone has an excellent spatial resolution. The dynamics
of the enhancement factor is studied in a second experiment using correlation
of thermal phonons at the same ultrasonic frequencies, without any active
source.
| cond-mat.other cond-mat.stat-mech physics.class-ph physics.geo-ph | coherent backscattering is due to constructive interferences of reciprocal paths and leads to an enhancement of the intensity of a multiply scattered field near its source to observe this enhancement an array of receivers is conventionally placed close to the source our approach here is different in a first experiment we recover the coherent backscattering effect cbe within an array of sources and a distant receiver using time correlation of diffuse fields the enhancement cone has an excellent spatial resolution the dynamics of the enhancement factor is studied in a second experiment using correlation of thermal phonons at the same ultrasonic frequencies without any active source | [['coherent', 'backscattering', 'is', 'due', 'to', 'constructive', 'interferences', 'of', 'reciprocal', 'paths', 'and', 'leads', 'to', 'an', 'enhancement', 'of', 'the', 'intensity', 'of', 'a', 'multiply', 'scattered', 'field', 'near', 'its', 'source', 'to', 'observe', 'this', 'enhancement', 'an', 'array', 'of', 'receivers', 'is', 'conventionally', 'placed', 'close', 'to', 'the', 'source', 'our', 'approach', 'here', 'is', 'different', 'in', 'a', 'first', 'experiment', 'we', 'recover', 'the', 'coherent', 'backscattering', 'effect', 'cbe', 'within', 'an', 'array', 'of', 'sources', 'and', 'a', 'distant', 'receiver', 'using', 'time', 'correlation', 'of', 'diffuse', 'fields', 'the', 'enhancement', 'cone', 'has', 'an', 'excellent', 'spatial', 'resolution', 'the', 'dynamics', 'of', 'the', 'enhancement', 'factor', 'is', 'studied', 'in', 'a', 'second', 'experiment', 'using', 'correlation', 'of', 'thermal', 'phonons', 'at', 'the', 'same', 'ultrasonic', 'frequencies', 'without', 'any', 'active', 'source']] | [-0.1635467146813237, 0.11905002784267296, -0.0895357691937671, 0.035606924113861446, -0.04992994550123529, -0.08171148501986743, 0.05071515202377308, 0.41786172672368166, -0.2859778153218048, -0.28955198651320246, 0.0420537557439738, -0.3121855380452888, -0.10422289066614127, 0.18425042503776978, -0.004818651084963865, -0.026891963448779622, 0.01608448036735491, 0.02044343719048039, -0.03272449418480666, -0.16479116677853525, 0.2932798609584114, 0.15904989343066261, 0.31606934494822164, 0.05856284363863041, 0.13707605196286063, 0.02761578658718686, -0.017210377105687447, -0.013695374978783119, -0.017017629999175388, 0.08591342388590763, 0.25291122605514554, 0.03569544762052279, 0.20223848657893403, -0.4062779174133573, -0.21104836258334372, 0.07679285071263055, 0.14311685945612448, 0.1503454410594027, -0.06017610049402376, -0.28815470084126266, 0.05083975631673381, -0.09298049083049849, -0.14418113916093167, 0.057511041617407554, 0.005662764687275619, -0.018318255809750758, -0.2740211771968049, 0.06551390362657467, 0.03061058826828024, 0.0625524767147342, -0.03547049576596726, -0.04904722791815282, 0.05406197760790094, 0.14772107664227732, 0.0013191825172090728, 0.06682079764223604, 0.12275845098379508, -0.12983371274225097, -0.1247217663781243, 0.3507019025273621, -0.09302696735018266, -0.1353146116477701, 0.18576673470999835, -0.18130309797190833, -0.022587098708411434, 0.23729241191066872, 0.1707098948031242, 0.09852697163872984, -0.16385547738557435, 0.02420378346677061, -0.028503857089540445, 0.2264849472140788, 0.11016166553929237, 0.0936159988390809, 0.2129515239283583, 0.17813294120835807, 0.06364303375682179, 0.18113686360928388, -0.19452407140776795, -0.0035674917019622504, -0.2795762672036324, -0.11799778177771929, -0.21683429469758608, 0.05074050106033507, -0.0665880100016882, -0.13228710118696568, 0.36577335777604636, 0.13293890218757848, 0.16750100782176233, -0.010707222276701117, 0.3324235550628729, 0.1364035186113983, 0.0769285800480196, 0.03464552138071015, 0.2979194190493732, 0.1657032192979043, 0.07110936949381007, -0.2555971517524669, 0.011867582936384628, -0.05672938042794758] |
709.3004 | A FLAMINGOS Deep Near Infrared Imaging Survey of the Rosette Complex I:
Identification and Distribution of the Embedded Population | We present the results of a deep near-infrared imaging survey of the Rosette
Complex. We studied the distribution of young embedded sources using a
variation of the Nearest Neighbor Method applied to a carefully selected sample
of near-infrared excess (NIRX) stars which trace the latest episode of star
formation in the complex. Our analysis confirmed the existence of seven
clusters previously detected in the molecular cloud, and identified four more
clusters across the complex. We determined that 60% of the young stars in the
complex and 86% of the stars within the molecular cloud are contained in
clusters, implying that the majority of stars in the Rosette formed in embedded
clusters. We compare the sizes, infrared excess fractions and average
extinction towards individual clusters to investigate their early evolution and
expansion. We found that the average infrared excess fraction of clusters
increases as a function of distance from NGC 2244, implying a temporal sequence
of star formation across the complex. This sequence appears to be primordial,
possibly resulting from the formation and evolution of the molecular cloud and
not from the interaction with the HII region.
| astro-ph | we present the results of a deep nearinfrared imaging survey of the rosette complex we studied the distribution of young embedded sources using a variation of the nearest neighbor method applied to a carefully selected sample of nearinfrared excess nirx stars which trace the latest episode of star formation in the complex our analysis confirmed the existence of seven clusters previously detected in the molecular cloud and identified four more clusters across the complex we determined that 60 of the young stars in the complex and 86 of the stars within the molecular cloud are contained in clusters implying that the majority of stars in the rosette formed in embedded clusters we compare the sizes infrared excess fractions and average extinction towards individual clusters to investigate their early evolution and expansion we found that the average infrared excess fraction of clusters increases as a function of distance from ngc 2244 implying a temporal sequence of star formation across the complex this sequence appears to be primordial possibly resulting from the formation and evolution of the molecular cloud and not from the interaction with the hii region | [['we', 'present', 'the', 'results', 'of', 'a', 'deep', 'nearinfrared', 'imaging', 'survey', 'of', 'the', 'rosette', 'complex', 'we', 'studied', 'the', 'distribution', 'of', 'young', 'embedded', 'sources', 'using', 'a', 'variation', 'of', 'the', 'nearest', 'neighbor', 'method', 'applied', 'to', 'a', 'carefully', 'selected', 'sample', 'of', 'nearinfrared', 'excess', 'nirx', 'stars', 'which', 'trace', 'the', 'latest', 'episode', 'of', 'star', 'formation', 'in', 'the', 'complex', 'our', 'analysis', 'confirmed', 'the', 'existence', 'of', 'seven', 'clusters', 'previously', 'detected', 'in', 'the', 'molecular', 'cloud', 'and', 'identified', 'four', 'more', 'clusters', 'across', 'the', 'complex', 'we', 'determined', 'that', '60', 'of', 'the', 'young', 'stars', 'in', 'the', 'complex', 'and', '86', 'of', 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709.3005 | Feedback and efficiency in limit order markets | A consistency criterion for price impact functions in limit order markets is
proposed that prohibits chain arbitrage exploitation. Both the bid-ask spread
and the feedback of sequential market orders of the same kind onto both sides
of the order book are essential to ensure consistency at the smallest time
scale. All the stocks investigated in Paris Stock Exchange have consistent
price impact functions.
| q-fin.TR cond-mat.stat-mech physics.soc-ph | a consistency criterion for price impact functions in limit order markets is proposed that prohibits chain arbitrage exploitation both the bidask spread and the feedback of sequential market orders of the same kind onto both sides of the order book are essential to ensure consistency at the smallest time scale all the stocks investigated in paris stock exchange have consistent price impact functions | [['a', 'consistency', 'criterion', 'for', 'price', 'impact', 'functions', 'in', 'limit', 'order', 'markets', 'is', 'proposed', 'that', 'prohibits', 'chain', 'arbitrage', 'exploitation', 'both', 'the', 'bidask', 'spread', 'and', 'the', 'feedback', 'of', 'sequential', 'market', 'orders', 'of', 'the', 'same', 'kind', 'onto', 'both', 'sides', 'of', 'the', 'order', 'book', 'are', 'essential', 'to', 'ensure', 'consistency', 'at', 'the', 'smallest', 'time', 'scale', 'all', 'the', 'stocks', 'investigated', 'in', 'paris', 'stock', 'exchange', 'have', 'consistent', 'price', 'impact', 'functions']] | [-0.1411172022954339, 0.06456937418792337, -0.09526713832562404, 0.18821420230244892, -0.07272357383506402, -0.06880248543096795, 0.11762681111900343, 0.3984256816643571, -0.2576808501921949, -0.25419589900781236, 0.17361663997779408, -0.32191751294192816, -0.0772881026394547, 0.14575495875425756, -0.04446608290105822, 0.03541080756223805, 0.028755427929498846, -0.007719413765395681, 0.04607429890154255, -0.3286766762741738, 0.27672455415484454, 0.08552884112393098, 0.3505442262819362, 0.07496113942137786, 0.13560636503548484, 0.02176679778725855, -0.04638465898968871, 0.004017049034628722, -0.14614954889284923, 0.09089609056652065, 0.2531500557614934, 0.033128317445516586, 0.34794741469834534, -0.4496685217119872, -0.12776916894862161, 0.15766094454992857, 0.03754866562990679, -0.001934155725711395, 0.042729434690305164, -0.20974883166629643, 0.042797461139141686, -0.23806720636489373, -0.10316473496929994, -0.07750321363675453, 0.01351957219756312, 0.02316188054577478, -0.3020096513043557, 0.0501047648962528, 0.03361900748004989, 0.05915632773013342, -0.01262428377208019, -0.10795567753828234, -0.08761327482375597, 0.185095571565427, 0.12181128089552716, -0.08829695352959255, 0.11157783509660808, -0.1247259338075916, -0.17442847844508905, 0.3795429024076651, -0.06500708409732887, -0.13725098021446713, 0.10736095509122288, -0.19402095166382394, -0.0933957057413719, 0.11632371191600603, 0.1728721841696709, -0.0007555683010390826, -0.17040117302288613, 0.1018067948688339, 0.007643238744801945, 0.19935409062438542, 0.12167180575696486, 0.0485903696186604, 0.19207224708109621, 0.16210047315273965, 0.1347422078436625, 0.09345792686300618, -0.028153559666067834, -0.2458261168221869, -0.29730707752917496, -0.12473658356992971, -0.14414623577613384, -0.022623758541331404, -0.19298692502146994, -0.1534627691753918, 0.3750138987920114, 0.16591410174189353, 0.11126205580316424, 0.08984921575479564, 0.25471446645401774, 0.11449024693242141, 0.020716036703171476, 0.09666538226329499, 0.18943041143199754, 0.003165527642334974, 0.1276234111319932, -0.18575739333893926, 0.2086228982781962, 0.0764655838350928] |
709.3006 | Soliton-like Spin State in the A-like Phase of 3He in Anisotropic
Aerogel | We have found a new stable spin state in the A-like phase of superfluid 3He
confined to intrinsically anisotropic aerogel. The state can be formed by
radiofrequency excitation applied while cooling through the superfluid
transition temperature and its NMR properties are different from the standard
A-like phase obtained in the limit of very small excitation. It is possible
that this new state is formed by textural domain walls pinned by aerogel.
| cond-mat.dis-nn cond-mat.other | we have found a new stable spin state in the alike phase of superfluid 3he confined to intrinsically anisotropic aerogel the state can be formed by radiofrequency excitation applied while cooling through the superfluid transition temperature and its nmr properties are different from the standard alike phase obtained in the limit of very small excitation it is possible that this new state is formed by textural domain walls pinned by aerogel | [['we', 'have', 'found', 'a', 'new', 'stable', 'spin', 'state', 'in', 'the', 'alike', 'phase', 'of', 'superfluid', '3he', 'confined', 'to', 'intrinsically', 'anisotropic', 'aerogel', 'the', 'state', 'can', 'be', 'formed', 'by', 'radiofrequency', 'excitation', 'applied', 'while', 'cooling', 'through', 'the', 'superfluid', 'transition', 'temperature', 'and', 'its', 'nmr', 'properties', 'are', 'different', 'from', 'the', 'standard', 'alike', 'phase', 'obtained', 'in', 'the', 'limit', 'of', 'very', 'small', 'excitation', 'it', 'is', 'possible', 'that', 'this', 'new', 'state', 'is', 'formed', 'by', 'textural', 'domain', 'walls', 'pinned', 'by', 'aerogel']] | [-0.09660541970597607, 0.3493850640296726, -0.10735445323688778, -0.0167186043969631, -0.019305218234133552, -0.1426669390819652, 0.0520866054346339, 0.3987035565406189, -0.25705764672233605, -0.24382706936186468, 0.06442140600591584, -0.24825535326356618, -0.04208721522189362, 0.14863768246182255, 0.0506155869503781, 0.03208858573491174, -0.015147887858968805, 0.011613137875749191, -0.08497853052202271, -0.15815175551606317, 0.31643704873260475, -0.008753279814312995, 0.338265353594054, 0.02542179431372755, 0.01180530001711048, -0.08776750812359468, 0.10039055346130905, 0.043317878002327094, -0.1391912033215934, 0.03737182755836509, 0.28292776447471596, -0.03022690041279289, 0.1417411977136639, -0.47078932905700843, -0.24120387567443327, 0.07082009816896433, 0.18670062145913466, 0.15014479080752902, -0.09642033235655284, -0.3489877416057066, 0.006964184238877095, -0.17717401649225767, -0.1498100964916529, -0.14850356919087573, 0.00994312771740304, 0.005501868163110872, -0.1816599083052699, 0.13791767595676888, 0.08173105038020392, 0.03434479291695104, -0.0855642142131741, -0.11102272471754064, -0.0442333350246641, 0.08749310784435398, 0.003423010464757681, 0.07610192987412004, 0.16961770923808217, -0.1475038160446992, -0.036494801844089805, 0.357432772969486, -0.06486690823565906, -0.11504533425183364, 0.19880518227369642, -0.17775917156192828, -0.030681095758295605, 0.23384185787946196, 0.11147162825866065, 0.11824737564647492, -0.13819125667214394, 0.00492075228535662, -0.002175257534680652, 0.1788845123021378, 0.069430276587553, 0.01576817415090619, 0.2777965087050074, 0.21343966224558755, -0.007820489157227353, 0.22246938223563606, -0.13277423410663303, -0.08627730993714681, -0.20799628246418186, -0.12939669582730448, -0.24545964264166606, -0.005535249178573279, -0.01803343998195282, -0.14762144530533064, 0.371376597886564, 0.10675987548155474, 0.1719152391822615, -0.09760341054799271, 0.27128210040071693, 0.07332016839842562, 0.03973000061462148, 0.05148803922806827, 0.33220876214212514, 0.16937453330914215, 0.12456460978875172, -0.25441043853799117, 0.06791292132258835, 0.007756887475999308] |
709.3007 | Mass loss predictions for hot stars | I present the results of radiation-driven mass-loss predictions for hot stars
of all mass. Mass loss is an important aspect for the evolution of massive
stars, the rotational properties of the progenitors of gamma-ray bursts, and is
essential in assessing whether the most massive stars explode as
pair-instability supernovae, or avoid them due to mass loss. As a result, the
rate of mass loss is critical for our understanding of the chemical enrichment
of the Universe. Of particular interest is the question whether luminous blue
variables are the direct progenitors of some supernovae. Although there is a
growing body of evidence to suggest this, it remains as yet unexplained by
state-of-the-art stellar evolution models. Finally, I discuss the relevance of
mass loss for the appearance and rotational properties of hot Horizontal Branch
stars in globular clusters and subdwarf B stars in the field.
| astro-ph | i present the results of radiationdriven massloss predictions for hot stars of all mass mass loss is an important aspect for the evolution of massive stars the rotational properties of the progenitors of gammaray bursts and is essential in assessing whether the most massive stars explode as pairinstability supernovae or avoid them due to mass loss as a result the rate of mass loss is critical for our understanding of the chemical enrichment of the universe of particular interest is the question whether luminous blue variables are the direct progenitors of some supernovae although there is a growing body of evidence to suggest this it remains as yet unexplained by stateoftheart stellar evolution models finally i discuss the relevance of mass loss for the appearance and rotational properties of hot horizontal branch stars in globular clusters and subdwarf b stars in the field | [['i', 'present', 'the', 'results', 'of', 'radiationdriven', 'massloss', 'predictions', 'for', 'hot', 'stars', 'of', 'all', 'mass', 'mass', 'loss', 'is', 'an', 'important', 'aspect', 'for', 'the', 'evolution', 'of', 'massive', 'stars', 'the', 'rotational', 'properties', 'of', 'the', 'progenitors', 'of', 'gammaray', 'bursts', 'and', 'is', 'essential', 'in', 'assessing', 'whether', 'the', 'most', 'massive', 'stars', 'explode', 'as', 'pairinstability', 'supernovae', 'or', 'avoid', 'them', 'due', 'to', 'mass', 'loss', 'as', 'a', 'result', 'the', 'rate', 'of', 'mass', 'loss', 'is', 'critical', 'for', 'our', 'understanding', 'of', 'the', 'chemical', 'enrichment', 'of', 'the', 'universe', 'of', 'particular', 'interest', 'is', 'the', 'question', 'whether', 'luminous', 'blue', 'variables', 'are', 'the', 'direct', 'progenitors', 'of', 'some', 'supernovae', 'although', 'there', 'is', 'a', 'growing', 'body', 'of', 'evidence', 'to', 'suggest', 'this', 'it', 'remains', 'as', 'yet', 'unexplained', 'by', 'stateoftheart', 'stellar', 'evolution', 'models', 'finally', 'i', 'discuss', 'the', 'relevance', 'of', 'mass', 'loss', 'for', 'the', 'appearance', 'and', 'rotational', 'properties', 'of', 'hot', 'horizontal', 'branch', 'stars', 'in', 'globular', 'clusters', 'and', 'subdwarf', 'b', 'stars', 'in', 'the', 'field']] | [-0.07013490502038723, 0.15466240832634626, -0.028863002248812705, 0.14310082869760535, -0.12366496106785546, -0.03090450086572266, 0.08157463359216657, 0.38729888992200906, -0.15184205366580233, -0.3246417140158323, 0.054134206521533224, -0.27907563605625835, -0.06932778272067906, 0.1999335341500043, -0.07888206895418429, -0.017160362214781344, 0.136880834007284, 0.0012969048303011414, -0.04473946647966033, -0.28209538283998836, 0.38045579391056217, 0.040439669026543834, 0.14213990734017395, 0.011029377713200304, 0.03155609445932966, -0.13577302448269163, -0.053511705918732534, -0.07153141931337598, -0.1365722810419706, 0.026768988733085433, 0.2025536011030193, 0.21591082726488414, 0.26452058874122747, -0.3367001295832175, -0.2666707672447396, 0.09285932935292383, 0.23117907713102243, 0.07159241338071602, -0.14307387586653728, -0.1923395156391434, 0.06559599098917163, -0.1832808305906666, -0.195209355943452, 0.026553513990207153, 0.08846761268430058, 0.042320471537019407, -0.2369469455410759, 0.16058019811525237, 0.09450167371611391, 0.05495173297496838, -0.10812619028749738, -0.1107786388927745, -0.08275004352403843, 0.09465652294750032, 0.11599114695987241, 0.043338746175176454, 0.11903356460177085, -0.20059451332374417, -0.03222858379969464, 0.46598750256470867, -0.04591226258186519, -0.029659805031350024, 0.24981613689056642, -0.15863919058257805, -0.1567408102759896, 0.08201225290980216, 0.17627406890106784, 0.1481647230114892, -0.1965646515632947, -0.010774746212792433, 0.016607229361779517, 0.13444921756293493, 0.04145886883191712, 0.09182375936501927, 0.3600940016599802, 0.21746540216442484, -0.008920177446932277, 0.04230485556458312, -0.15714174147448634, -0.045939981527105496, -0.2399226194182476, -0.16044104571447715, -0.13333650428713853, 0.09148659723016296, -0.1321279952139553, -0.18012203043652372, 0.33184596458515087, 0.11387324734376027, 0.22863157540543486, 0.003873612213931926, 0.29548931889027563, 0.07929084440074548, 0.09793699950417764, 0.11978514326436744, 0.31551112412817783, 0.22102674573718512, 0.07360395229945832, -0.2802753290454564, 0.11164917498973517, 0.01819480853513456] |
709.3008 | Magnetic flux emergence in fast rotating stars | Fast rotating cool stars are characterised by high magnetic activity levels
and frequently show dark spots up to polar latitudes. Their distinctive surface
distributions of magnetic flux are investigated in the context of the
solar-stellar connection by applying the solar flux eruption and surface flux
transport models to stars with different rotation rates, mass, and evolutionary
stage. The rise of magnetic flux tubes through the convection zone is primarily
buoyancy-driven, though their evolution can be strongly affected by the
Coriolis force. The poleward deflection of the tube's trajectory increases with
the stellar rotation rate, which provides an explanation for magnetic flux
eruption at high latitudes. The formation of proper polar spots likely requires
the assistance of meridional flows both before and after the eruption of
magnetic flux on the stellar surface. Since small radiative cores support the
eruption of flux tubes at high latitudes, low-mass pre-main sequence stars are
predicted to show high mean latitudes of flux emergence. In addition to flux
eruption at high latitudes, main sequence components of close binary systems
show spot distributions which are non-uniform in longitude. Yet these
`preferred longitudes' of flux eruption are expected to vanish beyond a certain
post-main sequence evolutionary stage.
| astro-ph | fast rotating cool stars are characterised by high magnetic activity levels and frequently show dark spots up to polar latitudes their distinctive surface distributions of magnetic flux are investigated in the context of the solarstellar connection by applying the solar flux eruption and surface flux transport models to stars with different rotation rates mass and evolutionary stage the rise of magnetic flux tubes through the convection zone is primarily buoyancydriven though their evolution can be strongly affected by the coriolis force the poleward deflection of the tubes trajectory increases with the stellar rotation rate which provides an explanation for magnetic flux eruption at high latitudes the formation of proper polar spots likely requires the assistance of meridional flows both before and after the eruption of magnetic flux on the stellar surface since small radiative cores support the eruption of flux tubes at high latitudes lowmass premain sequence stars are predicted to show high mean latitudes of flux emergence in addition to flux eruption at high latitudes main sequence components of close binary systems show spot distributions which are nonuniform in longitude yet these preferred longitudes of flux eruption are expected to vanish beyond a certain postmain sequence evolutionary stage | [['fast', 'rotating', 'cool', 'stars', 'are', 'characterised', 'by', 'high', 'magnetic', 'activity', 'levels', 'and', 'frequently', 'show', 'dark', 'spots', 'up', 'to', 'polar', 'latitudes', 'their', 'distinctive', 'surface', 'distributions', 'of', 'magnetic', 'flux', 'are', 'investigated', 'in', 'the', 'context', 'of', 'the', 'solarstellar', 'connection', 'by', 'applying', 'the', 'solar', 'flux', 'eruption', 'and', 'surface', 'flux', 'transport', 'models', 'to', 'stars', 'with', 'different', 'rotation', 'rates', 'mass', 'and', 'evolutionary', 'stage', 'the', 'rise', 'of', 'magnetic', 'flux', 'tubes', 'through', 'the', 'convection', 'zone', 'is', 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709.3009 | ^{63,65}Cu NMR and NQR evidence for an unusual spin dynamics in PrCu_2
below 100 K | We report the results of a $^{63,65}$Cu NMR/NQR study probing the
intermetallic compound PrCu$_2$. The previously claimed onset of magnetic order
at 65 K, indicated in a $\mu$SR study, is not confirmed. Based on our data we
discuss different possible reasons for this apparent discrepancy, including a
non negligible influence of the implanted muons on their environment. Competing
dipolar and quadrupolar interactions lead to unusual features of the
magnetic-ion/conduction-electron system, different from those of common
intermetallics exhibiting structural or magnetic instabilities.
| cond-mat.mtrl-sci | we report the results of a 6365cu nmrnqr study probing the intermetallic compound prcu_2 the previously claimed onset of magnetic order at 65 k indicated in a musr study is not confirmed based on our data we discuss different possible reasons for this apparent discrepancy including a non negligible influence of the implanted muons on their environment competing dipolar and quadrupolar interactions lead to unusual features of the magneticionconductionelectron system different from those of common intermetallics exhibiting structural or magnetic instabilities | [['we', 'report', 'the', 'results', 'of', 'a', '6365cu', 'nmrnqr', 'study', 'probing', 'the', 'intermetallic', 'compound', 'prcu_2', 'the', 'previously', 'claimed', 'onset', 'of', 'magnetic', 'order', 'at', '65', 'k', 'indicated', 'in', 'a', 'musr', 'study', 'is', 'not', 'confirmed', 'based', 'on', 'our', 'data', 'we', 'discuss', 'different', 'possible', 'reasons', 'for', 'this', 'apparent', 'discrepancy', 'including', 'a', 'non', 'negligible', 'influence', 'of', 'the', 'implanted', 'muons', 'on', 'their', 'environment', 'competing', 'dipolar', 'and', 'quadrupolar', 'interactions', 'lead', 'to', 'unusual', 'features', 'of', 'the', 'magneticionconductionelectron', 'system', 'different', 'from', 'those', 'of', 'common', 'intermetallics', 'exhibiting', 'structural', 'or', 'magnetic', 'instabilities']] | [-0.17507624128078925, 0.1528598317740886, -0.05496487684939882, 0.08469126008515823, -0.05344698472019238, -0.09844197048304626, 0.08618956809580515, 0.3540391320291954, -0.21163355511955068, -0.3420581331924547, 0.02649688426717597, -0.3322955442451035, -0.12361934676448096, 0.1835113737379979, 0.06303200690382266, -0.007416959822507976, -0.0011757291570494446, 0.03255186119423354, -0.10137281524491956, -0.2081632932583224, 0.3078656392820368, 0.06291446889989384, 0.2865227190306104, 0.08474088048185163, 0.04974009372040488, -0.046629640948663974, 0.002410339969622938, 0.0380717885763019, -0.1551612991886803, 0.03300531399495239, 0.1960310473377946, 0.0001312944466318888, 0.18750221107768106, -0.43513477838869336, -0.22198532703752583, 0.08575382042393277, 0.11711812047641489, 0.11591411735626715, -0.0783140238988231, -0.2967180701715377, 0.07027691720595843, -0.11955896934164287, -0.12582290235058038, -0.10789510580604966, -0.04279416936296451, 0.030017398893125827, -0.2446777715489174, 0.12894006495517266, 0.1111680393879408, 0.17893497012201934, -0.14439851874367723, -0.17830342570573232, 0.012974478319122256, 0.04990824322876391, 0.10743723013084618, 0.026485425549783285, 0.14456700836603023, -0.07790844334301221, -0.13332223247359448, 0.37230984992097144, -0.01909181015135697, -0.03776145012919567, 0.25419335897505, -0.2117362889708786, -0.1388710237939288, 0.15771355955342797, 0.16551902922035394, 0.130809734826517, -0.14328567904149053, 0.0022568060785142963, -0.0007727599785297732, 0.16494245054436069, 0.013741325245156318, 0.06303914605722397, 0.23628461780026555, 0.20872849307046568, -0.055622497720856076, 0.15174575805180718, -0.1404773323395867, -0.030284501495034304, -0.2108729379841044, -0.1359838114909922, -0.1453879365728449, 0.04871729638923366, -0.0470041509810172, -0.14891345040943427, 0.3778899424013835, 0.17870631404338946, 0.18600820599689702, -0.08995342288826462, 0.2301525166125591, -0.0020787127218739707, 0.06635066479904271, 0.00854023206340594, 0.29383181884318965, 0.14292338930211868, 0.09422620094110128, -0.30609562349670766, 0.14299093940755045, -0.04615193554730732] |
709.301 | BFKL ansatz for BK equation in conformal basis | The BK equation in the conformal basis is considered and analyzed. It is
shown that at high energy a factorization of the coordinate and rapidity
dependence should hold. This allows to simplify significantly the from of the
equation under discussion. An analytical ansatz for the solution to the BK
equation at high energies is proposed and analyzed. This analytical ansatz
satisfies the initial condition at low energy and does not depend on both
rapidity and the initial condition in the high energy limit. The case of the
final rapidity being not too large is discussed and the properties of the
transition region between small and large final rapidities have been studied.
| hep-ph | the bk equation in the conformal basis is considered and analyzed it is shown that at high energy a factorization of the coordinate and rapidity dependence should hold this allows to simplify significantly the from of the equation under discussion an analytical ansatz for the solution to the bk equation at high energies is proposed and analyzed this analytical ansatz satisfies the initial condition at low energy and does not depend on both rapidity and the initial condition in the high energy limit the case of the final rapidity being not too large is discussed and the properties of the transition region between small and large final rapidities have been studied | [['the', 'bk', 'equation', 'in', 'the', 'conformal', 'basis', 'is', 'considered', 'and', 'analyzed', 'it', 'is', 'shown', 'that', 'at', 'high', 'energy', 'a', 'factorization', 'of', 'the', 'coordinate', 'and', 'rapidity', 'dependence', 'should', 'hold', 'this', 'allows', 'to', 'simplify', 'significantly', 'the', 'from', 'of', 'the', 'equation', 'under', 'discussion', 'an', 'analytical', 'ansatz', 'for', 'the', 'solution', 'to', 'the', 'bk', 'equation', 'at', 'high', 'energies', 'is', 'proposed', 'and', 'analyzed', 'this', 'analytical', 'ansatz', 'satisfies', 'the', 'initial', 'condition', 'at', 'low', 'energy', 'and', 'does', 'not', 'depend', 'on', 'both', 'rapidity', 'and', 'the', 'initial', 'condition', 'in', 'the', 'high', 'energy', 'limit', 'the', 'case', 'of', 'the', 'final', 'rapidity', 'being', 'not', 'too', 'large', 'is', 'discussed', 'and', 'the', 'properties', 'of', 'the', 'transition', 'region', 'between', 'small', 'and', 'large', 'final', 'rapidities', 'have', 'been', 'studied']] | [-0.10197783139773418, 0.1330090538098588, -0.14949625138998837, 0.10635551172812041, -0.04029744574254765, -0.11128012733198367, -0.008616267707668714, 0.3330848260199534, -0.20363074617863103, -0.27782262129256047, 0.07632733648013626, -0.2532378908621435, -0.013735952485050704, 0.15065064246825002, 0.007473816836896764, 0.08585693018599036, 0.07476713657714762, 0.04616621741605503, -0.10361306621642732, -0.2046734487285485, 0.32660151568350493, 0.0994143714826252, 0.33052977250033133, 0.1576640760407548, 0.13862934262651178, 0.016223125270911836, 0.0029039449338499152, 0.004403600238498535, -0.15673640822848306, 0.020215597599409184, 0.2355125508027839, 0.07315172566109346, 0.2305721032982776, -0.38407600614837967, -0.1419995868544992, 0.08430791823067577, 0.16519623320457433, 0.12187088942910368, -0.013103427192372447, -0.2440553045357569, 0.12972339164247518, -0.15483344643301256, -0.1839498022208326, -0.06747154634747957, 0.03306727266979513, 0.04444192942265455, -0.2740824707439757, 0.0927952911142629, 0.03680621062380236, -0.010662460699677467, -0.08850529268100807, -0.13901875776381376, -0.07235385010623045, 0.07321984578880507, 0.08688555200382866, 0.038666448618813944, 0.07260118735333283, -0.14794558072871705, 0.008082170496686353, 0.34184574767074605, -0.021045552763819426, -0.246809940281752, 0.18029157483272742, -0.19902422493911004, -0.1272273341420333, 0.14669446859022114, 0.13870622835180782, 0.11876753844354335, -0.15729512618267322, 0.1437175513844547, -0.0010531617680916915, 0.14651080614127857, 0.07145284438455426, 0.04980489980798584, 0.11834454877083903, 0.13993697124323598, 0.029711185957657527, 0.10369325435913361, -0.063437699472431, -0.12855654679708653, -0.3604745021811477, -0.11747842169626876, -0.1813496560915499, 0.042360387562390266, -0.09767782828376759, -0.11533696608914708, 0.3662370514325999, 0.12014297762325113, 0.23434987290854659, 0.020095431598255765, 0.27285123992761645, 0.20876245373474048, 0.07196092135734386, 0.11367932054306473, 0.275691522335684, 0.14326712288390342, 0.1776957496117616, -0.24901182700351282, 0.07735220510680396, 0.056648705798612385] |
709.3011 | Some extensions of the uncertainty principle | We study the formulation of the uncertainty principle in quantum mechanics in
terms of entropic inequalities, extending results recently derived by
Bialynicki-Birula [1] and Zozor et al. [2]. Those inequalities can be
considered as generalizations of the Heisenberg uncertainty principle, since
they measure the mutual uncertainty of a wave function and its Fourier
transform through their associated R\'enyi entropies with conjugated indices.
We consider here the general case where the entropic indices are not
conjugated, in both cases where the state space is discrete and continuous: we
discuss the existence of an uncertainty inequality depending on the location of
the entropic indices $\alpha$ and $\beta$ in the plane $(\alpha, \beta)$. Our
results explain and extend a recent study by Luis [2], where states with
quantum fluctuations below the Gaussian case are discussed at the single point
$(2,2)$.
| math.PR | we study the formulation of the uncertainty principle in quantum mechanics in terms of entropic inequalities extending results recently derived by bialynickibirula 1 and zozor et al 2 those inequalities can be considered as generalizations of the heisenberg uncertainty principle since they measure the mutual uncertainty of a wave function and its fourier transform through their associated renyi entropies with conjugated indices we consider here the general case where the entropic indices are not conjugated in both cases where the state space is discrete and continuous we discuss the existence of an uncertainty inequality depending on the location of the entropic indices alpha and beta in the plane alpha beta our results explain and extend a recent study by luis 2 where states with quantum fluctuations below the gaussian case are discussed at the single point 22 | [['we', 'study', 'the', 'formulation', 'of', 'the', 'uncertainty', 'principle', 'in', 'quantum', 'mechanics', 'in', 'terms', 'of', 'entropic', 'inequalities', 'extending', 'results', 'recently', 'derived', 'by', 'bialynickibirula', '1', 'and', 'zozor', 'et', 'al', '2', 'those', 'inequalities', 'can', 'be', 'considered', 'as', 'generalizations', 'of', 'the', 'heisenberg', 'uncertainty', 'principle', 'since', 'they', 'measure', 'the', 'mutual', 'uncertainty', 'of', 'a', 'wave', 'function', 'and', 'its', 'fourier', 'transform', 'through', 'their', 'associated', 'renyi', 'entropies', 'with', 'conjugated', 'indices', 'we', 'consider', 'here', 'the', 'general', 'case', 'where', 'the', 'entropic', 'indices', 'are', 'not', 'conjugated', 'in', 'both', 'cases', 'where', 'the', 'state', 'space', 'is', 'discrete', 'and', 'continuous', 'we', 'discuss', 'the', 'existence', 'of', 'an', 'uncertainty', 'inequality', 'depending', 'on', 'the', 'location', 'of', 'the', 'entropic', 'indices', 'alpha', 'and', 'beta', 'in', 'the', 'plane', 'alpha', 'beta', 'our', 'results', 'explain', 'and', 'extend', 'a', 'recent', 'study', 'by', 'luis', '2', 'where', 'states', 'with', 'quantum', 'fluctuations', 'below', 'the', 'gaussian', 'case', 'are', 'discussed', 'at', 'the', 'single', 'point', '22']] | [-0.06686142147929572, 0.1685322986665115, -0.06147078254177947, 0.07790966098186533, -0.007662753180792446, -0.1279737532227848, 0.038998549300766384, 0.3227833971134661, -0.2680497983819805, -0.27814887931762156, 0.11296118990525, -0.3032073952216545, -0.15071820855647436, 0.20619182792185764, -0.08224347774418728, 0.06613481795605314, -0.02387584451250458, 0.04269117406596813, -0.09021542828893014, -0.19429814273676396, 0.3140717627110836, 0.02113210654180661, 0.23817288672709017, 0.04805890969274675, 0.06110026025185909, 0.04090278242759215, -0.024023819413474378, 0.02449356140950573, -0.20845557639704032, 0.14982248171402127, 0.20610002426923635, 0.0968184886390672, 0.2515907347585787, -0.35983891644076826, -0.23649608962210444, 0.12089432845481068, 0.07763525248532567, 0.03983386513444951, 0.015450124193140416, -0.31448738335850923, 0.01815438299159081, -0.15380569140988348, -0.14676792450550505, -0.052109051584813965, 0.03292555961867466, 0.046755098604241055, -0.25536949896281036, 0.14205229190573684, 0.08574458828661591, 0.038883366435423825, -0.05467945743465166, -0.11873938448244349, -0.010397625041043605, 0.08718085706042235, 0.038020729303859885, 0.006436314923442243, 0.10386484906912836, -0.07440699134980712, -0.1762064651497092, 0.353749018833589, -0.024448310675592545, -0.24453290030086303, 0.11868912074201302, -0.17237926344387233, -0.17188911937410012, 0.04007548897232696, 0.12436229126829215, 0.11294291645154932, -0.09585052317775347, 0.13489765312431914, -0.027454895384995754, 0.13701101093529894, 0.07399717708090868, 0.06662252520233297, 0.1429139846278464, 0.03619734816910589, 0.05221201945695451, 0.1621963669133359, -0.0906594401334159, -0.14932960371344747, -0.34326681021518785, -0.1931755631829968, -0.21254321866795448, 0.045246660403362886, -0.12569289816394089, -0.09937303035985678, 0.33150597171077284, 0.09485706926652175, 0.18158204110531026, 0.05600819650092436, 0.20984692700713983, 0.1697019667344113, -0.010823167255319491, 0.04423442582243725, 0.2727923871305607, 0.17964315951137586, 0.0586504979771288, -0.19263890932266162, 0.038522048042710484, 0.08611166736569859] |
709.3012 | Construction of a stationary queue with impatient customers | In this paper, we study the stability of queues with impatient customers.
Under general stationary ergodic assumptions, we first provide some conditions
for such a queue to be regenerative (i.e. to empty a.s. an infinite number of
times). In the particular case of a single server operating in First in, First
out, we prove the existence (in some cases, on an enlarged probability space)
of a stationary workload. This is done by studying a non-monotonic stochastic
recursion under the Palm settings, and by stochastic comparison of stochastic
recursions.
| math.PR | in this paper we study the stability of queues with impatient customers under general stationary ergodic assumptions we first provide some conditions for such a queue to be regenerative ie to empty as an infinite number of times in the particular case of a single server operating in first in first out we prove the existence in some cases on an enlarged probability space of a stationary workload this is done by studying a nonmonotonic stochastic recursion under the palm settings and by stochastic comparison of stochastic recursions | [['in', 'this', 'paper', 'we', 'study', 'the', 'stability', 'of', 'queues', 'with', 'impatient', 'customers', 'under', 'general', 'stationary', 'ergodic', 'assumptions', 'we', 'first', 'provide', 'some', 'conditions', 'for', 'such', 'a', 'queue', 'to', 'be', 'regenerative', 'ie', 'to', 'empty', 'as', 'an', 'infinite', 'number', 'of', 'times', 'in', 'the', 'particular', 'case', 'of', 'a', 'single', 'server', 'operating', 'in', 'first', 'in', 'first', 'out', 'we', 'prove', 'the', 'existence', 'in', 'some', 'cases', 'on', 'an', 'enlarged', 'probability', 'space', 'of', 'a', 'stationary', 'workload', 'this', 'is', 'done', 'by', 'studying', 'a', 'nonmonotonic', 'stochastic', 'recursion', 'under', 'the', 'palm', 'settings', 'and', 'by', 'stochastic', 'comparison', 'of', 'stochastic', 'recursions']] | [-0.17007262180347674, 0.07706453378705191, -0.08352367248153314, 0.060554354238609616, -0.014004434329267084, -0.12543756024785002, 0.12369151955433401, 0.3593588171484457, -0.26043227954704146, -0.200316817489114, 0.14869376069162338, -0.21170873803467574, -0.11890582731840285, 0.18033822791502727, -0.13769039095098956, 0.07605363209520212, 0.05139679796676236, 0.09271915851522036, -0.05006987698884173, -0.26349450823512266, 0.3219584596491503, 0.01895161899103021, 0.259225147289478, -0.010305057085299102, 0.10974455775100399, 0.03416491546258013, 0.012666244618065486, 0.03178648173721657, -0.1538773256100037, 0.04822678613444706, 0.25925307416103105, 0.12082533286328809, 0.32658690082925285, -0.4551142156335779, -0.16672344027425756, 0.1407321618594737, 0.12028121132706557, 0.0771727556553246, -0.03564288232089232, -0.2850487304782622, 0.10547554958214857, -0.16737641915890641, -0.1425282270330089, -0.0443844109329141, 0.0016971064138818872, 0.0942173805273011, -0.3080391009756237, -0.005480136624431576, 0.09358806962766474, 0.04659528523387218, -0.06704246828766455, -0.055544891552100045, 0.022482151229103856, 0.10309024377916516, 0.09775229974977927, -0.05261048977527852, 0.08356424197237092, -0.09723026444077153, -0.13358370937534014, 0.3481659812492911, -0.10097825321876867, -0.23476040018299085, 0.16797134815979833, -0.11194091849029064, -0.23370955961714077, 0.11413278576748614, 0.19720919090534814, 0.15418266883881931, -0.22004649778616361, 0.08842913909029448, -0.09867610839534212, 0.10386200769889084, 0.12170340710277246, 0.027305691429567312, 0.13008198724128306, 0.21927218078582716, 0.16192690821084066, 0.2144970618259818, -0.027704169653588906, -0.14614590354771775, -0.33896779194897547, -0.18807251461707478, -0.1430831294591454, 0.09574131336359476, -0.0987824024101759, -0.1599017977185378, 0.3725744240695018, 0.1507978455946696, 0.17654847270089455, 0.11847942773337392, 0.27488225463523785, 0.1752253574813949, -0.05525412884096361, 0.11796490120997821, 0.10907582667013313, 0.0735226686228998, 0.12034788443601098, -0.1722712357242761, 0.0997610331079076, 0.042967558637346054] |
709.3013 | Supervised learning on graphs of spatio-temporal similarity in satellite
image sequences | High resolution satellite image sequences are multidimensional signals
composed of spatio-temporal patterns associated to numerous and various
phenomena. Bayesian methods have been previously proposed in (Heas and Datcu,
2005) to code the information contained in satellite image sequences in a graph
representation using Bayesian methods. Based on such a representation, this
paper further presents a supervised learning methodology of semantics
associated to spatio-temporal patterns occurring in satellite image sequences.
It enables the recognition and the probabilistic retrieval of similar events.
Indeed, graphs are attached to statistical models for spatio-temporal
processes, which at their turn describe physical changes in the observed scene.
Therefore, we adjust a parametric model evaluating similarity types between
graph patterns in order to represent user-specific semantics attached to
spatio-temporal phenomena. The learning step is performed by the incremental
definition of similarity types via user-provided spatio-temporal pattern
examples attached to positive or/and negative semantics. From these examples,
probabilities are inferred using a Bayesian network and a Dirichlet model. This
enables to links user interest to a specific similarity model between graph
patterns. According to the current state of learning, semantic posterior
probabilities are updated for all possible graph patterns so that similar
spatio-temporal phenomena can be recognized and retrieved from the image
sequence. Few experiments performed on a multi-spectral SPOT image sequence
illustrate the proposed spatio-temporal recognition method.
| cs.CV | high resolution satellite image sequences are multidimensional signals composed of spatiotemporal patterns associated to numerous and various phenomena bayesian methods have been previously proposed in heas and datcu 2005 to code the information contained in satellite image sequences in a graph representation using bayesian methods based on such a representation this paper further presents a supervised learning methodology of semantics associated to spatiotemporal patterns occurring in satellite image sequences it enables the recognition and the probabilistic retrieval of similar events indeed graphs are attached to statistical models for spatiotemporal processes which at their turn describe physical changes in the observed scene therefore we adjust a parametric model evaluating similarity types between graph patterns in order to represent userspecific semantics attached to spatiotemporal phenomena the learning step is performed by the incremental definition of similarity types via userprovided spatiotemporal pattern examples attached to positive orand negative semantics from these examples probabilities are inferred using a bayesian network and a dirichlet model this enables to links user interest to a specific similarity model between graph patterns according to the current state of learning semantic posterior probabilities are updated for all possible graph patterns so that similar spatiotemporal phenomena can be recognized and retrieved from the image sequence few experiments performed on a multispectral spot image sequence illustrate the proposed spatiotemporal recognition method | [['high', 'resolution', 'satellite', 'image', 'sequences', 'are', 'multidimensional', 'signals', 'composed', 'of', 'spatiotemporal', 'patterns', 'associated', 'to', 'numerous', 'and', 'various', 'phenomena', 'bayesian', 'methods', 'have', 'been', 'previously', 'proposed', 'in', 'heas', 'and', 'datcu', '2005', 'to', 'code', 'the', 'information', 'contained', 'in', 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709.3014 | Future precision neutrino experiments and their theoretical implications | Future neutrino oscillation measurement focus, at first priority, on the
discovery of sin^2(2 theta_13) describing the coupling between solar and
atmospheric oscillations. In this talk, we briefly discuss the prospects to
measure sin^2(2 theta_13) by future reactor and beam experiments, and we
illustrate the usefulness of these measurements (and their precision) from the
theoretical point of view with an example.
| hep-ph | future neutrino oscillation measurement focus at first priority on the discovery of sin22 theta_13 describing the coupling between solar and atmospheric oscillations in this talk we briefly discuss the prospects to measure sin22 theta_13 by future reactor and beam experiments and we illustrate the usefulness of these measurements and their precision from the theoretical point of view with an example | [['future', 'neutrino', 'oscillation', 'measurement', 'focus', 'at', 'first', 'priority', 'on', 'the', 'discovery', 'of', 'sin22', 'theta_13', 'describing', 'the', 'coupling', 'between', 'solar', 'and', 'atmospheric', 'oscillations', 'in', 'this', 'talk', 'we', 'briefly', 'discuss', 'the', 'prospects', 'to', 'measure', 'sin22', 'theta_13', 'by', 'future', 'reactor', 'and', 'beam', 'experiments', 'and', 'we', 'illustrate', 'the', 'usefulness', 'of', 'these', 'measurements', 'and', 'their', 'precision', 'from', 'the', 'theoretical', 'point', 'of', 'view', 'with', 'an', 'example']] | [-0.11154635452354948, 0.2239696915205665, 0.023414557760891814, 0.061972374397252374, -0.057830980978906155, -0.10549784934458634, 0.152157429450502, 0.33249677658701937, -0.23643756872043015, -0.33772353604435923, 0.1320944808947388, -0.33080827275601526, -0.10831193211488425, 0.2559599582105875, 0.002456355226847033, 0.0818447444587946, 0.1053732747832934, -0.014703535560208062, -0.11842458952839176, -0.18257525945082306, 0.2968660475530972, 0.17956164642237127, 0.23791475143904486, 0.1256365115599086, 0.07991218327855071, -0.051951173886967204, -0.0980078687115262, -0.0891297789135327, -0.17429341205594634, 0.06318990727886557, 0.23103814373413722, 0.15989473599474877, 0.15666474647199113, -0.3829294741153717, -0.12392413342216363, 0.10366785696242005, 0.07983442614786326, 0.07898507636661331, -0.10730381571726563, -0.3659309027095636, 0.006546190262694532, -0.1653830936178565, -0.17815453361254185, -0.0697283618307362, -0.04315136480921258, 0.0027119026829799018, -0.2508640089693169, 0.03692441631962235, -0.06655564277898521, 0.10100470618102311, -0.00848525064648129, -0.21914768942321342, 0.04236621097661555, 0.08063052743673324, 0.12932042533066124, -0.027345049373495082, 0.09153817309706938, -0.12549594750550266, -0.12915617597755044, 0.3882948933634907, -0.07433757118027036, -0.10549952498016259, 0.08212718022211145, -0.2572848222296064, -0.1529326444569354, -0.0018427887465804816, 0.1948438866257978, 0.034986499938046714, -0.15249332583819827, 0.03358022191484148, -0.03184499739048382, 0.09913014838093659, 0.0716652899243248, 0.015100797599491974, 0.33407671938960753, 0.3054277740729352, 0.09137380711423854, -0.03869808269664645, -0.2155885535098302, -0.010524815212314327, -0.38731041724483173, -0.09864437125312785, -0.07502280343323946, 0.053410330802823106, -0.0579240603595584, -0.032212940386186044, 0.4664310103903214, 0.2535868699507167, 0.20106568830863883, 0.02299728449434042, 0.31094465805217625, 0.04640376972771871, -0.05527205425508631, -0.035690036586796245, 0.35876205074600875, 0.14552142727576817, 0.16457669503676395, -0.28124506865860893, 0.04958234414613495, -0.007564036431722343] |
709.3015 | Observational evidence for AGN feedback in early-type galaxies | A major amendment in recent models of hierarchical galaxy formation is the
inclusion of so-called AGN feedback. The energy input from an active central
massive black hole is invoked to suppress star formation in early-type galaxies
at later epochs. A major problem is that this process is poorly understood, and
compelling observational evidence for its mere existence is still missing. In
search for signatures of AGN feedback, we have compiled a sample of 16,000
early-type galaxies in the redshift range 0.05<z<0.1 from the SDSS database.
Key in our approach is the use of a purely morphological selection criterion
through visual inspection which produces a sample that is not biased against
recent star formation and nuclear activity. The objects with emission (~20 per
cent) are offset from the red sequence and form a well-defined pattern in the
colour-mass diagram. Star forming early-types inhabit the blue cloud, while
early-types with AGN are located considerably closer to and almost on the red
sequence. Star formation-AGN composites are found right between these two
extremes. We further derive galaxy star formation histories using a novel
method that combines multiwavelength photometry from near-UV to near-IR and
stellar absorption indices. We find that in those objects deviating from the
red sequence star formation occurred several 100 Myr in the past involving 1-10
per cent of the total stellar mass. We identify an evolutionary sequence from
star formation via nuclear activity to quiescence. This transition process
lasts about 1 Gyr, and the peak AGN phase occurs roughly half a Gyr after the
starburst. The most likely interpretation is that star formation is suppressed
by nuclear activity in these objects before they settle on the red sequence.
| astro-ph | a major amendment in recent models of hierarchical galaxy formation is the inclusion of socalled agn feedback the energy input from an active central massive black hole is invoked to suppress star formation in earlytype galaxies at later epochs a major problem is that this process is poorly understood and compelling observational evidence for its mere existence is still missing in search for signatures of agn feedback we have compiled a sample of 16000 earlytype galaxies in the redshift range 005z01 from the sdss database key in our approach is the use of a purely morphological selection criterion through visual inspection which produces a sample that is not biased against recent star formation and nuclear activity the objects with emission 20 per cent are offset from the red sequence and form a welldefined pattern in the colourmass diagram star forming earlytypes inhabit the blue cloud while earlytypes with agn are located considerably closer to and almost on the red sequence star formationagn composites are found right between these two extremes we further derive galaxy star formation histories using a novel method that combines multiwavelength photometry from nearuv to nearir and stellar absorption indices we find that in those objects deviating from the red sequence star formation occurred several 100 myr in the past involving 110 per cent of the total stellar mass we identify an evolutionary sequence from star formation via nuclear activity to quiescence this transition process lasts about 1 gyr and the peak agn phase occurs roughly half a gyr after the starburst the most likely interpretation is that star formation is suppressed by nuclear activity in these objects before they settle on the red sequence | [['a', 'major', 'amendment', 'in', 'recent', 'models', 'of', 'hierarchical', 'galaxy', 'formation', 'is', 'the', 'inclusion', 'of', 'socalled', 'agn', 'feedback', 'the', 'energy', 'input', 'from', 'an', 'active', 'central', 'massive', 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709.3016 | On the ideal $(v^0)$ | The $\sigma$-ideal $(v^0)$ is associated with the Silver forcing, see
\cite{bre}. Also, it constitutes the family of all completely doughnut null
sets, see \cite{hal}. We introduce segments and $*$-segments topologies, to
state some resemblances of $(v^0)$ to the family of Ramsey null sets. To
describe $add(v^0)$ we adopt a proof of Base Matrix Lemma. Consistent results
are stated, too. Halbeisen's conjecture $cov(v^0) = add(v^0)$ is confirmed
under the hypothesis $t= \min \{\cf (\frak c), r\} $. The hypothesis
$h=\omega_1$ implies that $(v^0)$ has the ideal type $(\frak c, \omega_1,\frak
c)$.
| math.LO math.CO math.GN | the sigmaideal v0 is associated with the silver forcing see citebre also it constitutes the family of all completely doughnut null sets see citehal we introduce segments and segments topologies to state some resemblances of v0 to the family of ramsey null sets to describe addv0 we adopt a proof of base matrix lemma consistent results are stated too halbeisens conjecture covv0 addv0 is confirmed under the hypothesis t min cf frak c r the hypothesis homega_1 implies that v0 has the ideal type frak c omega_1frak c | [['the', 'sigmaideal', 'v0', 'is', 'associated', 'with', 'the', 'silver', 'forcing', 'see', 'citebre', 'also', 'it', 'constitutes', 'the', 'family', 'of', 'all', 'completely', 'doughnut', 'null', 'sets', 'see', 'citehal', 'we', 'introduce', 'segments', 'and', 'segments', 'topologies', 'to', 'state', 'some', 'resemblances', 'of', 'v0', 'to', 'the', 'family', 'of', 'ramsey', 'null', 'sets', 'to', 'describe', 'addv0', 'we', 'adopt', 'a', 'proof', 'of', 'base', 'matrix', 'lemma', 'consistent', 'results', 'are', 'stated', 'too', 'halbeisens', 'conjecture', 'covv0', 'addv0', 'is', 'confirmed', 'under', 'the', 'hypothesis', 't', 'min', 'cf', 'frak', 'c', 'r', 'the', 'hypothesis', 'homega_1', 'implies', 'that', 'v0', 'has', 'the', 'ideal', 'type', 'frak', 'c', 'omega_1frak', 'c']] | [-0.22326556254411117, 0.08394450521445833, -0.06000120483804494, 0.060472919317544435, -0.05161202032468282, -0.21975239518505987, 0.04893713118508458, 0.36987265998031943, -0.27049359044758603, -0.16298806237755342, 0.06702031491149682, -0.261929304205114, -0.07056304673897103, 0.13880741661705542, -0.09643743782071397, -0.01946172321913764, 0.12089857254177332, 0.0747050687787123, -0.003433783326181583, -0.2260524276731303, 0.3384131164755672, -0.029757012636400758, 0.2352716926834546, 0.02608041587736807, 0.05050259389099665, -0.027771850395947695, -0.002134805265814066, 0.021197464829310775, -0.2070760361883913, 0.059093375591328365, 0.21809977680677547, 0.2070121600118, 0.22144386827712878, -0.3173594792722724, -0.133257774633239, 0.15681023362558336, 0.10060901957331225, 0.05041304715850856, 0.054801735372348045, -0.2689051848952658, 0.16754653742245865, -0.12806237348122523, -0.20956156594038475, -0.057847813647822474, 0.09691283904830925, 0.004398341965861618, -0.2902097324607894, 0.0369844588884007, 0.1559761366515886, 0.08621197638567538, -0.029550236865179613, -0.14116950185853055, -0.05512425540946424, -0.008878209206159227, 0.04608000451116823, 0.08032606943161227, 0.08281171793933026, -0.01670148525154218, -0.09504500817274675, 0.3852067803542013, -0.08624376562656835, -0.1844362585572526, 0.2030989139690064, -0.16766295603010803, -0.16343987850123085, 0.0955961398751242, 0.004974278865847737, 0.10209950751741417, -0.06337420026247856, 0.1737197227361321, -0.13582299085101113, 0.1161721105570905, 0.14083111104846466, 0.0006284752686042339, 0.14911697611678393, 0.06543268160894514, 0.08327216051402501, 0.12383086734189419, -0.059306209440546806, 0.015822449483675883, -0.35998995206318796, -0.18450380732829216, -0.16260878509929172, 0.11500157246773597, -0.0281371512070109, -0.17507622523116878, 0.32483029311988504, 0.09710763849579962, 0.1946165859582834, 0.09217713196994737, 0.1574048496899195, 0.056637831023545006, 0.023423923151858615, 0.11464685489190743, 0.14637310845118917, 0.18541845828294753, 0.0242990615661256, -0.14285111204662826, 0.04124458516016603, 0.11291941184608731] |
709.3017 | Emergent Fermions and Anyons in the Kitaev Model | We study the gapped phase of the Kitaev model on the honeycomb lattice using
perturbative continuous unitary transformations. The effective low-energy
Hamiltonian is found to be an extended toric code with interacting anyons.
High-energy excitations are emerging free fermions which are composed of
hardcore bosons with an attached string of spin operators. The excitation
spectrum is mapped onto that of a single particle hopping on a square lattice
in a magnetic field. We also illustrate how to compute correlation functions in
this framework. The present approach yields analytical perturbative results in
the thermodynamical limit without using the Majorana or the Jordan-Wigner
fermionization initially proposed to solve this problem.
| cond-mat.other quant-ph | we study the gapped phase of the kitaev model on the honeycomb lattice using perturbative continuous unitary transformations the effective lowenergy hamiltonian is found to be an extended toric code with interacting anyons highenergy excitations are emerging free fermions which are composed of hardcore bosons with an attached string of spin operators the excitation spectrum is mapped onto that of a single particle hopping on a square lattice in a magnetic field we also illustrate how to compute correlation functions in this framework the present approach yields analytical perturbative results in the thermodynamical limit without using the majorana or the jordanwigner fermionization initially proposed to solve this problem | [['we', 'study', 'the', 'gapped', 'phase', 'of', 'the', 'kitaev', 'model', 'on', 'the', 'honeycomb', 'lattice', 'using', 'perturbative', 'continuous', 'unitary', 'transformations', 'the', 'effective', 'lowenergy', 'hamiltonian', 'is', 'found', 'to', 'be', 'an', 'extended', 'toric', 'code', 'with', 'interacting', 'anyons', 'highenergy', 'excitations', 'are', 'emerging', 'free', 'fermions', 'which', 'are', 'composed', 'of', 'hardcore', 'bosons', 'with', 'an', 'attached', 'string', 'of', 'spin', 'operators', 'the', 'excitation', 'spectrum', 'is', 'mapped', 'onto', 'that', 'of', 'a', 'single', 'particle', 'hopping', 'on', 'a', 'square', 'lattice', 'in', 'a', 'magnetic', 'field', 'we', 'also', 'illustrate', 'how', 'to', 'compute', 'correlation', 'functions', 'in', 'this', 'framework', 'the', 'present', 'approach', 'yields', 'analytical', 'perturbative', 'results', 'in', 'the', 'thermodynamical', 'limit', 'without', 'using', 'the', 'majorana', 'or', 'the', 'jordanwigner', 'fermionization', 'initially', 'proposed', 'to', 'solve', 'this', 'problem']] | [-0.13479820920016478, 0.22918040613903604, -0.08687596749169407, 0.07231352522676052, -0.026374172430088813, -0.17379715882189986, 0.0178739873334524, 0.3671397430718773, -0.2350758382084745, -0.23304606824745455, 0.015994109158378303, -0.2988373692130187, -0.11265693179599044, 0.1262683410777417, 0.054426463877057865, 0.04199893756217703, 0.031297287444532335, 0.03778732338644288, -0.11868693108489323, -0.2603375717794902, 0.30783809773210025, 0.03505606376307292, 0.2587161985812364, 0.059731924865412074, 0.055762579293783615, 0.06703063122687228, 0.06571911591001683, -0.033887515284328, -0.13211963607325203, 0.09006277115528334, 0.20762017216205736, -0.03993033921277082, 0.12812285122668576, -0.44259869762592846, -0.20292412619002992, 0.06420597697918613, 0.20078752189012314, 0.1594047930675852, -0.033946958217442175, -0.31311195959440535, -0.008220221098141607, -0.2205226316172802, -0.16401068132405203, -0.1214539958767731, -0.06064155434702385, -0.03240636376776146, -0.2554860051410894, 0.05638418690984879, 0.028344284829304175, 0.05715426437867185, -0.05325250153826481, -0.054949271501283405, -0.03927375787989823, 0.07353871860929455, 0.021880208267787197, 0.0664329564875785, 0.11724795482587069, -0.13231310658415574, -0.16591383434381526, 0.4009699885646114, -0.08245279688465719, -0.24585970327758264, 0.17156518630993864, -0.09955609815747098, -0.13535425126556894, 0.13279864761581714, 0.11827723188940177, 0.08893712334921239, -0.1851452015840483, 0.15918610755060972, -0.09613575661313478, 0.15895899266211522, -0.019287708586219837, 0.032874176377878976, 0.2743387277759784, 0.1465536548445622, 0.030263608817390545, 0.22789768840259597, -0.05790031407701059, -0.1565950370212603, -0.2941386002176269, -0.11571393150047192, -0.2638270373723504, 0.07106929795419867, -0.06451927893363905, -0.21043002419604886, 0.4378410043988239, 0.17080478155468073, 0.16309517318451847, 0.01461762608421311, 0.22375212415742377, 0.1570071104258575, 0.06011655129744516, 0.060275419671260926, 0.19542450168497721, 0.15347630359853306, 0.03244440576613501, -0.2850536475889385, -0.12049786855156223, 0.1586518250492022] |
709.3018 | Nature and statistics of majority rankings in a dynamical model of
preference aggregation | We present numerical results on a complex dynamical model for the aggregation
of many individual rankings of S alternatives by the pairwise majority rule
under a deliberative scenario. Agents are assumed to interact when the Kemeny
distance between their rankings is smaller than a range R. The main object of
interest is the probability that the aggregate (social) ranking is transitive
as a function of the interaction range. This quantity is known to decay fast as
S increases in the non-interacting case. Here we find that when S>4 such a
probability attains a sharp maximum when the interaction range is sufficiently
large, in which case it significantly exceeds the corresponding value for a
non-interacting system. Furthermore, the situation improves upon increasing S.
A possible microscopic mechanism leading to this counterintuitive result is
proposed and investigated.
| physics.soc-ph | we present numerical results on a complex dynamical model for the aggregation of many individual rankings of s alternatives by the pairwise majority rule under a deliberative scenario agents are assumed to interact when the kemeny distance between their rankings is smaller than a range r the main object of interest is the probability that the aggregate social ranking is transitive as a function of the interaction range this quantity is known to decay fast as s increases in the noninteracting case here we find that when s4 such a probability attains a sharp maximum when the interaction range is sufficiently large in which case it significantly exceeds the corresponding value for a noninteracting system furthermore the situation improves upon increasing s a possible microscopic mechanism leading to this counterintuitive result is proposed and investigated | [['we', 'present', 'numerical', 'results', 'on', 'a', 'complex', 'dynamical', 'model', 'for', 'the', 'aggregation', 'of', 'many', 'individual', 'rankings', 'of', 's', 'alternatives', 'by', 'the', 'pairwise', 'majority', 'rule', 'under', 'a', 'deliberative', 'scenario', 'agents', 'are', 'assumed', 'to', 'interact', 'when', 'the', 'kemeny', 'distance', 'between', 'their', 'rankings', 'is', 'smaller', 'than', 'a', 'range', 'r', 'the', 'main', 'object', 'of', 'interest', 'is', 'the', 'probability', 'that', 'the', 'aggregate', 'social', 'ranking', 'is', 'transitive', 'as', 'a', 'function', 'of', 'the', 'interaction', 'range', 'this', 'quantity', 'is', 'known', 'to', 'decay', 'fast', 'as', 's', 'increases', 'in', 'the', 'noninteracting', 'case', 'here', 'we', 'find', 'that', 'when', 's4', 'such', 'a', 'probability', 'attains', 'a', 'sharp', 'maximum', 'when', 'the', 'interaction', 'range', 'is', 'sufficiently', 'large', 'in', 'which', 'case', 'it', 'significantly', 'exceeds', 'the', 'corresponding', 'value', 'for', 'a', 'noninteracting', 'system', 'furthermore', 'the', 'situation', 'improves', 'upon', 'increasing', 's', 'a', 'possible', 'microscopic', 'mechanism', 'leading', 'to', 'this', 'counterintuitive', 'result', 'is', 'proposed', 'and', 'investigated']] | [-0.13407208993082384, 0.1296921574657231, -0.041971864461622856, 0.07283312734302685, -0.05358017887575207, -0.14414636348977822, 0.09218013793816444, 0.3683228623949819, -0.2554695781458307, -0.29650403667080727, 0.04439147324818704, -0.3066912291019603, -0.14232959751453664, 0.18354552742956137, -0.04008715700496126, 0.00666273216182297, 0.05581158757106298, 0.10761135349360605, -0.03389008747525858, -0.25145644071615403, 0.2897255364322552, 0.059779054271402184, 0.2779577408020419, 0.06057011632171149, 0.06239383649425926, 0.022393098222609195, 0.026150532698051798, 0.04805662929666815, -0.11531605620542973, 0.07479348874616402, 0.22991083463119275, 0.13704298064457598, 0.32227323910704364, -0.3386696665306334, -0.20752399571981556, 0.1413635064718417, 0.14272505839751964, 0.09959521326667595, -0.004412637434520379, -0.2360485765910535, 0.09494108594436612, -0.21151917737011833, -0.10470194115769119, -0.02761697502185901, 0.09516704184417095, 0.033070620042444376, -0.3114810833224544, 0.08010545045965248, 0.07449597014886052, 0.011662119752899916, -0.03588734688237309, -0.10279072252947286, -0.004229584808840796, 0.10726537728764082, 0.0853585208878266, 0.04584828035095362, 0.14467873056936595, -0.1339774317522016, -0.06807565246881159, 0.385295161742855, -0.0513591829994564, -0.19053254953620058, 0.22615629557037242, -0.1283406965813979, -0.0903473433290384, 0.12458211689221638, 0.14045502905630403, 0.14240502931513926, -0.12286262661552798, 0.052681639621086004, -0.09388660891326489, 0.1815244805826633, 0.027491538402520947, 0.016464427494685407, 0.17133459891710018, 0.19796988117784536, 0.11389694389395623, 0.1271203375266244, -0.05072233750553871, -0.11943715169586035, -0.28055779315117335, -0.11716652377314556, -0.21516884560524313, 0.05052201213591077, -0.12097779352690041, -0.13250719108101394, 0.36347034156874375, 0.1621765306322939, 0.2285757902423265, 0.09408993614854774, 0.26720545383653155, 0.10646817167289555, 0.04236153856575213, 0.04648807875950028, 0.23884397536447202, 0.07335864937070895, 0.055352719005680194, -0.18303584712385026, 0.1302833992332496, 0.031063399900233855] |
709.3019 | Neutrino-induced coherent pion production | We have investigated the neutrino induced coherent pion production reaction
at the energies of interest for recent experiments like K2K and MiniBooNE. The
model includes pion, nucleon and the Delta(1232) resonance. Medium effects in
the production mechanism and the distortion of the pion wave function are taken
into account. We find a strong reduction of the cross section due to these
effects and also substantial modifications in the energy distributions of the
final pion. The sensitivity of the results on the axial N-Delta coupling C5A(0)
and the coherent fraction in neutral-current pi0 production are discussed.
| nucl-th hep-ex hep-ph nucl-ex | we have investigated the neutrino induced coherent pion production reaction at the energies of interest for recent experiments like k2k and miniboone the model includes pion nucleon and the delta1232 resonance medium effects in the production mechanism and the distortion of the pion wave function are taken into account we find a strong reduction of the cross section due to these effects and also substantial modifications in the energy distributions of the final pion the sensitivity of the results on the axial ndelta coupling c5a0 and the coherent fraction in neutralcurrent pi0 production are discussed | [['we', 'have', 'investigated', 'the', 'neutrino', 'induced', 'coherent', 'pion', 'production', 'reaction', 'at', 'the', 'energies', 'of', 'interest', 'for', 'recent', 'experiments', 'like', 'k2k', 'and', 'miniboone', 'the', 'model', 'includes', 'pion', 'nucleon', 'and', 'the', 'delta1232', 'resonance', 'medium', 'effects', 'in', 'the', 'production', 'mechanism', 'and', 'the', 'distortion', 'of', 'the', 'pion', 'wave', 'function', 'are', 'taken', 'into', 'account', 'we', 'find', 'a', 'strong', 'reduction', 'of', 'the', 'cross', 'section', 'due', 'to', 'these', 'effects', 'and', 'also', 'substantial', 'modifications', 'in', 'the', 'energy', 'distributions', 'of', 'the', 'final', 'pion', 'the', 'sensitivity', 'of', 'the', 'results', 'on', 'the', 'axial', 'ndelta', 'coupling', 'c5a0', 'and', 'the', 'coherent', 'fraction', 'in', 'neutralcurrent', 'pi0', 'production', 'are', 'discussed']] | [-0.0888283239380937, 0.22977399504049978, -0.039401568990371665, 0.1575117181996478, -0.001200016607788015, -0.017108783841707765, 0.05979400337673724, 0.3291394708435388, -0.18791265266035942, -0.22714222725877103, -0.0618304417733638, -0.38034134085706256, -0.027232974123685284, 0.1521946339684717, 0.12096272654672886, 0.09348233473150337, 0.08467844986614395, 0.03298787930683094, -0.023819311009224582, -0.18306860349765244, 0.3486974378205598, 0.09687810188080086, 0.26452979800152654, 0.25229062961335197, 0.07516873563253419, 0.05167195919970487, -0.07110807169389792, -0.06477400133425885, -0.1441240022751562, 0.057154830129064145, 0.20200246593796034, 0.047566354854349444, 0.11215799551041043, -0.4075977523672454, -0.15744151022443745, 0.11625133465202724, 0.11405137227910095, 0.14142363518476486, -0.08174189831937682, -0.31372801895857727, 0.04440757076155662, -0.2230756110016336, -0.09359849444986816, -0.07658594208670423, -0.005502898389711342, 0.029226044579309985, -0.31111400763682545, 0.08764714386005777, -0.0043046103364371875, -0.005489115249068337, -0.09860732101468726, -0.24682414460372418, -0.022670548448854303, 0.07367768169856294, 0.13916513167118574, 0.05271580311168788, 0.1781006474592822, -0.18496210926628492, -0.11396775617105688, 0.4198354603524538, -0.056585726349247974, -0.17192037233171312, 0.0834500497068338, -0.21088412090977457, -0.11059567284463172, 0.20771302634533098, 0.2513938767617529, 0.02180597085525539, -0.16681948712373035, 0.07232868006301826, -0.006678557578081691, 0.13711312007743548, 0.11291590399118735, 0.0836064380053629, 0.15847677698091386, 0.2100211901273182, -0.03704435960637366, 0.05962175972254432, -0.15141234825058106, -0.08266848527846184, -0.38496793861045164, -0.08589881614960254, -0.032100918821673444, 0.06568825199374646, -0.048073430089100436, -0.07713112755222841, 0.3595186711853727, 0.07794717990823011, 0.2634286570035793, -0.061228902723164634, 0.3237021696615092, 0.1121753378947107, 0.08854165721803586, 0.016635129743434014, 0.34873051956256335, 0.18895848568261384, 0.14520873456693037, -0.2923424476559492, 0.04126877349211854, -0.005880739111354218] |
709.302 | Transverse momentum dependence of semi-inclusive pion production | Cross sections for semi-inclusive electroproduction of charged pions
($\pi^{\pm}$) from both proton and deuteron targets were measured for
$0.2<x<0.5$, $2<Q^2<4$ GeV$^2$, $0.3<z<1$, and $P_t^2<0.2$ GeV$^2$. For
$P_t<0.1$ GeV, we find the azimuthal dependence to be small, as expected
theoretically. For both $\pi^+$ and $\pi^-$, the $P_t$ dependence from the
deuteron is found to be slightly weaker than from the proton. In the context of
a simple model, this implies that the initial transverse momenta width of $d$
quarks is larger than for $u$ quarks and, contrary to expectations, the
transverse momentum width of the favored fragmentation function is larger than
the unfavored one.
| hep-ph | cross sections for semiinclusive electroproduction of charged pions pipm from both proton and deuteron targets were measured for 02x05 2q24 gev2 03z1 and p_t202 gev2 for p_t01 gev we find the azimuthal dependence to be small as expected theoretically for both pi and pi the p_t dependence from the deuteron is found to be slightly weaker than from the proton in the context of a simple model this implies that the initial transverse momenta width of d quarks is larger than for u quarks and contrary to expectations the transverse momentum width of the favored fragmentation function is larger than the unfavored one | [['cross', 'sections', 'for', 'semiinclusive', 'electroproduction', 'of', 'charged', 'pions', 'pipm', 'from', 'both', 'proton', 'and', 'deuteron', 'targets', 'were', 'measured', 'for', '02x05', '2q24', 'gev2', '03z1', 'and', 'p_t202', 'gev2', 'for', 'p_t01', 'gev', 'we', 'find', 'the', 'azimuthal', 'dependence', 'to', 'be', 'small', 'as', 'expected', 'theoretically', 'for', 'both', 'pi', 'and', 'pi', 'the', 'p_t', 'dependence', 'from', 'the', 'deuteron', 'is', 'found', 'to', 'be', 'slightly', 'weaker', 'than', 'from', 'the', 'proton', 'in', 'the', 'context', 'of', 'a', 'simple', 'model', 'this', 'implies', 'that', 'the', 'initial', 'transverse', 'momenta', 'width', 'of', 'd', 'quarks', 'is', 'larger', 'than', 'for', 'u', 'quarks', 'and', 'contrary', 'to', 'expectations', 'the', 'transverse', 'momentum', 'width', 'of', 'the', 'favored', 'fragmentation', 'function', 'is', 'larger', 'than', 'the', 'unfavored', 'one']] | [-0.01792616227340668, 0.29091304614951813, -0.11125523925316755, 0.1878871089811766, -0.03502326398485839, -0.09433958999638568, -0.018867633150269587, 0.3615575115939583, -0.16018043381792277, -0.2321178342093422, -0.11783206444163101, -0.33347695648218645, 0.09246288877770756, 0.19661419753766043, 0.10646391820839861, 0.07669070330119193, 0.06499839764126021, 0.011878096439753367, -0.06815063447051804, -0.15520392860652824, 0.32780712085653735, 0.038594778834117785, 0.22867728352212732, 0.17129739004215508, 0.03450215252285654, 0.08616928021056634, 0.013541473715443803, -0.029516279622159823, -0.1418572775059, 0.047521941039259684, 0.20662768345533145, 0.01844950631317316, 0.10409166293472728, -0.3175075114939851, -0.08277039239277141, 0.12267531993130994, 0.17064314993390003, 0.09339360104911405, 0.019785329558406815, -0.26458468402952257, 0.1286798591838416, -0.20337108426699133, -0.1308611630382148, -0.062036522513612954, 0.08426391787361354, -0.004746967559736787, -0.354065881872719, 0.13188914426912865, -0.008761114115130645, 0.059036371975459835, -0.04999966415190937, -0.2995678586979406, -0.09782247919815057, -0.007219171118593276, 0.16849960953190057, 0.18282635171775413, 0.15632323799842987, -0.1692446000906968, -0.0971334315789393, 0.3986511791143755, 0.0020301848077603304, -0.20213590234499237, 0.07286354109663705, -0.2869514945231265, -0.054028580475579756, 0.20301719414390096, 0.21257364504613133, 0.12735770061386353, -0.15751147723634434, 0.04800520159746285, -0.06111872371173266, 0.22012873193380808, 0.14531837844035841, 0.055782271836028255, 0.13995713873524124, 0.19161028529616128, 0.016574201959589818, 0.05717260890635615, -0.14268903092321272, -0.07437407450204847, -0.3395408847547992, -0.09728003890639303, -0.06244909166913442, 0.10527557453535723, -0.05997186885074233, -0.043031632963737305, 0.3356939572370564, 0.07212405961778279, 0.32999794886005346, 0.04268692871979014, 0.3326999647825053, 0.11413434092214124, 0.10707171059994385, 0.11829728610117478, 0.30282469844972393, 0.17015951516746422, 0.17752661671715253, -0.20622942638301262, 0.08031868602553702, -0.002540335708269567] |
709.3021 | Hankel hyperdeterminants, rectangular Jack polynomials and even powers
of the Vandermonde | We investigate the link between rectangular Jack polynomials and Hankel
hyperdeterminants. As an application we give an expression of the even power of
the Vandermonde in term of Jack polynomials.
| math.CO | we investigate the link between rectangular jack polynomials and hankel hyperdeterminants as an application we give an expression of the even power of the vandermonde in term of jack polynomials | [['we', 'investigate', 'the', 'link', 'between', 'rectangular', 'jack', 'polynomials', 'and', 'hankel', 'hyperdeterminants', 'as', 'an', 'application', 'we', 'give', 'an', 'expression', 'of', 'the', 'even', 'power', 'of', 'the', 'vandermonde', 'in', 'term', 'of', 'jack', 'polynomials']] | [-0.2503532334851722, 0.009401455995975994, -0.024611139359573524, 0.0688620057888329, -0.07271168970813353, -0.09832396411026517, 0.001772682617108027, 0.3296035224571824, -0.3038810345887517, -0.16850983115533988, 0.1426794102221417, -0.2722902201736967, -0.2706960057839751, 0.17593851573813785, -0.0785216536683341, 0.0235462449491024, -0.03304161813575775, 0.0480151174745212, -0.1400785392538334, -0.28224416573842365, 0.36894993564734857, 0.09144061977664629, 0.16938347310448687, 0.08489266044149796, 0.09395987695703904, 0.008544931234791876, -0.04530016053467989, -0.15316129190226396, -0.12031785262127717, 0.11412553512491286, 0.26855145338922737, 0.1411598104382089, 0.19810307895143828, -0.4327232696115971, 0.021615934759999313, 0.181615671950082, 0.21084285612838963, 0.018233268056064844, -0.0068525360897183415, -0.2065744943295916, -0.0450711234472692, -0.2752286701152722, -0.1784688432700932, -0.13961800721784431, 0.013427759955326716, 0.11215274818241597, -0.3552929999306798, 0.057366470247507094, 0.11989239947870374, 0.14528386443853378, -0.03480461815294499, -0.22335999601831039, 0.09158145960730811, 0.1263353773392737, 0.021630308032035826, -0.047753773427878815, -0.03957545630012949, -0.17617522881676753, -0.14883928044388692, 0.3608159789194663, -0.011902428946147363, -0.28104871374865376, 0.019985203444957734, -0.17173517669240634, -0.10988330012187361, 0.05906324138243993, 0.14063103627413512, 0.06199031608800094, -0.05120283355936408, 0.10612428740714677, -0.18003870540608963, 0.10175660432626804, 0.1941914397291839, 0.04027959546074271, 0.1517775921228652, -0.031573632080107925, 0.01282889156912764, 0.3158816856953005, -0.0018026635982096196, -0.06041162620919446, -0.2973158015559117, -0.1840968477539718, -0.26343710099657375, 0.0697665496263653, -0.23471505274016333, -0.2595356329654654, 0.41693304541210335, 0.04111970720502237, 0.1760633397847414, 0.15520215624322495, 0.17965377296010654, 0.1663485474224823, 0.020530003976697724, 0.0017470074351876974, 0.086473814646403, 0.2767517009129127, 0.10146962143480778, -0.177034588654836, -0.010028354714935024, 0.20746190358574193] |
709.3022 | BCB Based Packaging for Low Actuation Voltage RF MEMS Devices | This paper outlines the issues related to RF MEMS packaging and low actuation
voltage. An original approach is presented concerning the modeling of
capacitive contacts using multiphysics simulation and advanced
characterization. A similar approach is used concerning packaging development
where multi-physics simulations are used to optimize the process. A devoted
package architecture is proposed featuring very low loss at microwave range.
| physics.class-ph | this paper outlines the issues related to rf mems packaging and low actuation voltage an original approach is presented concerning the modeling of capacitive contacts using multiphysics simulation and advanced characterization a similar approach is used concerning packaging development where multiphysics simulations are used to optimize the process a devoted package architecture is proposed featuring very low loss at microwave range | [['this', 'paper', 'outlines', 'the', 'issues', 'related', 'to', 'rf', 'mems', 'packaging', 'and', 'low', 'actuation', 'voltage', 'an', 'original', 'approach', 'is', 'presented', 'concerning', 'the', 'modeling', 'of', 'capacitive', 'contacts', 'using', 'multiphysics', 'simulation', 'and', 'advanced', 'characterization', 'a', 'similar', 'approach', 'is', 'used', 'concerning', 'packaging', 'development', 'where', 'multiphysics', 'simulations', 'are', 'used', 'to', 'optimize', 'the', 'process', 'a', 'devoted', 'package', 'architecture', 'is', 'proposed', 'featuring', 'very', 'low', 'loss', 'at', 'microwave', 'range']] | [-0.11146471334896127, 0.023929893766524133, -0.008202770488245076, -0.03434753916345009, -0.09839290508725604, -0.20052930008864306, -0.05058568705171041, 0.3899529138427289, -0.23842514384171512, -0.335257978315969, 0.1211159930060633, -0.21674458075650646, -0.18576951511204243, 0.30344020871476074, -0.10855418846744005, 0.12558114429416714, 0.09915356247945399, -0.12623055679265593, -0.026097899617734135, -0.15974538571384475, 0.21926204086143952, 0.1564178777454024, 0.3603878153457505, 0.08900392018869276, 0.1504484049243028, -0.014193647396063706, -0.05205273690831955, -0.01933234914770869, -0.15398968642455388, 0.1427703567353062, 0.3308186510646502, 0.0664516544335934, 0.31235369974289273, -0.45039593620744883, -0.2096525269148291, 0.023809228115333397, 0.102520532776281, 0.07851000147734265, -0.09080248221671056, -0.21821969320051005, 0.12033180571084873, -0.22554474946905356, -0.10156481873366188, -0.07758231075541651, -0.05564942836883615, 0.028775411703791776, -0.26010041112904664, 0.0006350119918829105, -0.011826264137615923, 0.06257588489622366, -0.023634507694877075, -0.10514843306641598, 0.06815780075572309, 0.10441837934863021, -0.030381973890576237, 0.016662861186186553, 0.21374064775519683, -0.07993088877515593, -0.08578215812363463, 0.367593290467487, 0.03559989030243921, -0.1888422780654958, 0.24389741952401264, -0.029121873747618474, -0.09737302124744555, 0.11984252163254824, 0.21580972500740872, 0.06983345837072759, -0.2254810683948339, 0.05494953395291155, 0.13060305069093822, 0.16533327798862926, 0.061700431775057414, -0.023673780460948826, 0.184756872106771, 0.3208954419480774, 0.002342998157026338, 0.20032163439165862, -0.05496216141313436, -0.04950412094104485, -0.2921227437184482, -0.12137011310885294, -0.1661125844741454, 0.002709563726131789, -0.03897077800872064, -0.17988018401455683, 0.40543041231690863, 0.21508542518513124, 0.08706392769197949, -0.0013121804375140394, 0.383180066271395, 0.09006244712127526, 0.07282714437613202, 0.01107330621052228, 0.1777332893526945, 0.17507608473056652, 0.18452442754976084, -0.24702464522541973, 0.04888425585355793, -0.004520325509251141] |
709.3023 | IGR J22517+2218=MG3 J225155+2217: a new gamma-ray lighthouse in the
distant Universe | We report on the identification of a new soft gamma ray source, namely IGR
J22517+2218, detected with IBIS/INTEGRAL. The source, which has an observed
20-100 keV flux of ~4 x10^-11 erg cm-2 s-1, is spatially coincident with MG3
J225155+2217, a quasar at z=3.668. The Swift/XRT 0.5-10 keV continuum is flat
(Gamma=1.5) with evidence for a spectral curvature below 1-2 keV either due to
intrinsic absorption (NH=3 +/- 2 x 10^22 cm-2) or to a change in slope (Delta
Gamma= 0.5). X-ray observations indicate flux variability over a 6 days period
which is further supported by a flux mismatch between Swift and INTEGRAL
spectra. IGR J22517+2218 is radio loud and has a flat radio spectrum; optically
it is a broad line emitting quasar with the atypical property of hosting a
narrow line absorption system. The Source Spectral Energy Distribution is
unusual compared to blazars of similar type: either it has the synchrotron peak
in the X/gamma-ray band (i.e. much higher than generally observed) or the
Compton peak in the MeV range (i.e. lower than typically measured). IGR
J22517+2218=MG3 J225155+2217 is the second most distant blazar detected above
20 keV and a gamma-ray lighthouse shining from the edge of our Universe.
| astro-ph | we report on the identification of a new soft gamma ray source namely igr j225172218 detected with ibisintegral the source which has an observed 20100 kev flux of 4 x1011 erg cm2 s1 is spatially coincident with mg3 j2251552217 a quasar at z3668 the swiftxrt 0510 kev continuum is flat gamma15 with evidence for a spectral curvature below 12 kev either due to intrinsic absorption nh3 2 x 1022 cm2 or to a change in slope delta gamma 05 xray observations indicate flux variability over a 6 days period which is further supported by a flux mismatch between swift and integral spectra igr j225172218 is radio loud and has a flat radio spectrum optically it is a broad line emitting quasar with the atypical property of hosting a narrow line absorption system the source spectral energy distribution is unusual compared to blazars of similar type either it has the synchrotron peak in the xgammaray band ie much higher than generally observed or the compton peak in the mev range ie lower than typically measured igr j225172218mg3 j2251552217 is the second most distant blazar detected above 20 kev and a gammaray lighthouse shining from the edge of our universe | [['we', 'report', 'on', 'the', 'identification', 'of', 'a', 'new', 'soft', 'gamma', 'ray', 'source', 'namely', 'igr', 'j225172218', 'detected', 'with', 'ibisintegral', 'the', 'source', 'which', 'has', 'an', 'observed', '20100', 'kev', 'flux', 'of', '4', 'x1011', 'erg', 'cm2', 's1', 'is', 'spatially', 'coincident', 'with', 'mg3', 'j2251552217', 'a', 'quasar', 'at', 'z3668', 'the', 'swiftxrt', '0510', 'kev', 'continuum', 'is', 'flat', 'gamma15', 'with', 'evidence', 'for', 'a', 'spectral', 'curvature', 'below', '12', 'kev', 'either', 'due', 'to', 'intrinsic', 'absorption', 'nh3', '2', 'x', '1022', 'cm2', 'or', 'to', 'a', 'change', 'in', 'slope', 'delta', 'gamma', '05', 'xray', 'observations', 'indicate', 'flux', 'variability', 'over', 'a', '6', 'days', 'period', 'which', 'is', 'further', 'supported', 'by', 'a', 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-0.010819205102254998, 0.1179761009803826, -0.10572854781941356, -0.16115716936240465, 0.055464054781152176, 0.5149400810146502, -0.13373396284890318, -0.3712156370456796, 0.07565403340560495, -0.3696295281563321, 0.05128437155071125, 0.22435250085744757, 0.00434674867645987, -0.05429911220849159, -0.0007902223018475765, -0.06654863329990308, -0.04384151735183797, -0.14718200098207448, 0.22520189375708294, 0.10970343859296852, 0.21599078853674947, 0.03737635579933726, 0.09106022125795252, -0.058702993464844366, -0.019837176572764292, -0.07670813457017349, -0.05748363702987451, 0.056035389424931414, 0.2341920153787987, 0.03995850692392167, 0.17370473409862947, -0.25569817656892413, -0.2624604826119917, 0.10572060077346215, 0.16118302625734263, -0.0903493414302429, 0.01642688152433368, -0.27426254710694054, 0.07034268142360532, -0.197436531397654, -0.1764473996482249, 0.14072216411695423, 0.05968625178087715, -0.009966991906937386, -0.1434658108168424, 0.14263918837821932, 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0.13406336996366555, 0.129658505464711, -0.16855744617267926, 0.032555740816431804, -0.04380501431070384] |
709.3024 | Non-linear self-consistent response of graphene in time domain | We study the non-linear electromagnetic response of graphene taking into
account the self-consistent-field effects. Response of the system to a strong
pulse excitation is calculated. It is shown that radiative decay in graphene
differs from that of conventional two-dimensional electron systems both
quantitatively and qualitatively. Possible applications of the predicted
effects for generation of terahertz radiation are discussed.
| cond-mat.mes-hall | we study the nonlinear electromagnetic response of graphene taking into account the selfconsistentfield effects response of the system to a strong pulse excitation is calculated it is shown that radiative decay in graphene differs from that of conventional twodimensional electron systems both quantitatively and qualitatively possible applications of the predicted effects for generation of terahertz radiation are discussed | [['we', 'study', 'the', 'nonlinear', 'electromagnetic', 'response', 'of', 'graphene', 'taking', 'into', 'account', 'the', 'selfconsistentfield', 'effects', 'response', 'of', 'the', 'system', 'to', 'a', 'strong', 'pulse', 'excitation', 'is', 'calculated', 'it', 'is', 'shown', 'that', 'radiative', 'decay', 'in', 'graphene', 'differs', 'from', 'that', 'of', 'conventional', 'twodimensional', 'electron', 'systems', 'both', 'quantitatively', 'and', 'qualitatively', 'possible', 'applications', 'of', 'the', 'predicted', 'effects', 'for', 'generation', 'of', 'terahertz', 'radiation', 'are', 'discussed']] | [-0.11162177905046927, 0.15398498427058602, -0.05516716296752465, 0.08750514468531413, -0.008981495421251347, -0.10678334366369607, -0.02937702743079642, 0.3878968035609558, -0.24201776530465174, -0.24771832931658316, -0.01232684255730168, -0.30695724685210735, -0.17073040796797082, 0.2575975013575677, 0.06689560270450752, 0.06465439463098502, 0.014059417981429604, -0.08246877431821335, -0.034352315944049444, -0.14244172590030035, 0.27951400319178554, 0.06771175993670678, 0.3330429407029316, 0.10626967160577147, 0.06411920161114941, 0.017503703699511444, 0.007309070627751021, 0.05585875122904264, -0.10713015591192807, 0.03635024921647433, 0.20048838577650743, -0.012810101624224978, 0.22382459704410926, -0.4812840523904768, -0.2927438438035034, 0.00967827949929854, 0.1178435343237401, 0.17277418875039138, -0.0789145174645016, -0.2669637618779108, 0.04357111274168409, -0.16521363859546595, -0.08046619677193591, -0.06526480210495406, 0.030504617912309438, 0.028565543314345694, -0.3015721834682185, 0.037071890615183734, 0.04860561686278931, -0.030268808248741872, -0.1260484195844238, -0.10425589829964306, -0.05168406867646966, 0.11127493534526177, 0.09141291180978818, -0.011657203856759286, 0.18442028780479852, -0.1322060829622607, -0.09277420227640662, 0.4706994744724241, -0.08775314774990467, -0.12612298503518105, 0.1493168988040295, -0.21529946392723198, -0.019666851821339464, 0.20594435515974102, 0.16151187968327954, 0.08942558751280966, -0.16670576447685218, 0.056147071066240235, 0.011237494896390829, 0.14949617078447522, 0.026897922615873916, 0.12325361636788423, 0.21680179039209052, 0.20340212727575724, -0.06189284711305437, 0.15764950814753256, -0.08934902561956952, -0.057641851138684835, -0.2468751410086607, -0.10469910891020093, -0.1825234119635846, 0.06581128317991207, 0.011066733456541912, -0.16503268217111955, 0.4633526863642679, 0.1790712047207715, 0.09264500020071864, -0.004130852525122464, 0.3272536259610206, 0.20421824825863386, 0.058091386092890954, -0.02103831984327528, 0.33166463875436575, 0.1639333575289568, 0.08247281170996099, -0.32616306555152325, 0.024172622148461383, -0.0174397440907718] |
709.3025 | Hard X-ray colours of Neutron Star and Black Hole Low Mass X-ray
Binaries with INTEGRAL | The X-ray spectra of Low Mass X-ray Binaries (LMXB) can change on short
time-scales, making it difficult to follow their spectral characteristics in
detail through model fitting. Colour-colour (C-C) diagrams are therefore often
used as alternative, model independent, tools to study the spectral variability
of these sources. The INTEGRAL mission, with its high sensitivity, large field
of view and good angular resolution, is well suited to study the hard X-ray
properties of LMXBs. In particular the ISGRI imager on board of INTEGRAL allows
the regular monitoring of the sources in the less frequently studied domain
above 20 keV. In this proceeding, C-C diagrams have been made with data from
the INTEGRAL public archive; a search is made for systematic differences in the
C-C diagrams between black hole candidates (BH) and neutron stars (NS) in LMXBs
using a moments analysis method.
| astro-ph | the xray spectra of low mass xray binaries lmxb can change on short timescales making it difficult to follow their spectral characteristics in detail through model fitting colourcolour cc diagrams are therefore often used as alternative model independent tools to study the spectral variability of these sources the integral mission with its high sensitivity large field of view and good angular resolution is well suited to study the hard xray properties of lmxbs in particular the isgri imager on board of integral allows the regular monitoring of the sources in the less frequently studied domain above 20 kev in this proceeding cc diagrams have been made with data from the integral public archive a search is made for systematic differences in the cc diagrams between black hole candidates bh and neutron stars ns in lmxbs using a moments analysis method | [['the', 'xray', 'spectra', 'of', 'low', 'mass', 'xray', 'binaries', 'lmxb', 'can', 'change', 'on', 'short', 'timescales', 'making', 'it', 'difficult', 'to', 'follow', 'their', 'spectral', 'characteristics', 'in', 'detail', 'through', 'model', 'fitting', 'colourcolour', 'cc', 'diagrams', 'are', 'therefore', 'often', 'used', 'as', 'alternative', 'model', 'independent', 'tools', 'to', 'study', 'the', 'spectral', 'variability', 'of', 'these', 'sources', 'the', 'integral', 'mission', 'with', 'its', 'high', 'sensitivity', 'large', 'field', 'of', 'view', 'and', 'good', 'angular', 'resolution', 'is', 'well', 'suited', 'to', 'study', 'the', 'hard', 'xray', 'properties', 'of', 'lmxbs', 'in', 'particular', 'the', 'isgri', 'imager', 'on', 'board', 'of', 'integral', 'allows', 'the', 'regular', 'monitoring', 'of', 'the', 'sources', 'in', 'the', 'less', 'frequently', 'studied', 'domain', 'above', '20', 'kev', 'in', 'this', 'proceeding', 'cc', 'diagrams', 'have', 'been', 'made', 'with', 'data', 'from', 'the', 'integral', 'public', 'archive', 'a', 'search', 'is', 'made', 'for', 'systematic', 'differences', 'in', 'the', 'cc', 'diagrams', 'between', 'black', 'hole', 'candidates', 'bh', 'and', 'neutron', 'stars', 'ns', 'in', 'lmxbs', 'using', 'a', 'moments', 'analysis', 'method']] | [-0.06935804501907634, 0.07670435367617756, -0.10135810342617332, 0.18358998897102927, -0.12201568222371861, -0.07603470712700593, 0.09188413960593088, 0.4577585659255939, -0.20126239883580377, -0.3890232342345241, 0.10882462075720209, -0.3221823160155119, -0.033397724100255544, 0.25815436925373175, -0.041031749506614035, 0.03241684751410503, 0.09609400180634112, -0.033066723284511164, -0.08694703977089376, -0.23199495730472597, 0.27099664073736807, 0.1020820825942792, 0.21160302956621826, -0.034688764358205455, 0.03895469520690053, 0.015419789569984589, -0.08928900101953852, -0.006265015236567706, -0.12726284551567266, 0.07429831810960812, 0.2936376627601151, 0.11614144849419453, 0.15954674603417515, -0.3562362347463412, -0.20035143873122122, 0.060386052627914716, 0.16280910710962157, -0.009608307493285144, -0.015365612775453234, -0.23434671803510615, 0.06975714756575013, -0.19779019918808313, -0.14416873180972678, -0.03556799463528607, 0.041114889541807184, 0.07322224747788693, -0.16564810228800134, 0.08174660917720758, -0.01020117255642877, 0.06254217183616545, -0.12027099001279566, -0.0911379090909447, -0.003232475927299155, 0.10701239093073776, 0.057089328022474156, 0.05815612041291648, 0.10775207499058784, -0.1307987254649301, -0.0981001550489704, 0.35005180505769595, -0.037603986246644384, -0.0704257913033611, 0.1971180182467963, -0.18426001193001867, -0.18608929041906128, 0.16670752796011845, 0.13450123593803645, 0.17533894379822804, -0.21772829107274966, 0.06055809193328189, 0.04455406045640952, 0.24811265851936437, 0.030967011698521674, 0.08027212967696999, 0.3017713654520256, 0.15225929978519812, -0.024774619715753943, 0.1648720733621823, -0.21088474535582855, -0.05937422523940248, -0.22539658309958344, -0.089805669751617, -0.12453124318313452, 0.07214197310968302, -0.09158610734469091, -0.17081984256178007, 0.34297394167598605, 0.10785153934599033, 0.15486979802475875, -0.03123642501554319, 0.320805935934186, 0.09853947592949096, 0.08559512294928677, 0.040137844900268, 0.27010098928585646, 0.15601674469986132, 0.1497074172948487, -0.21646429828667482, 0.03412391758424097, 0.00010579470773726435] |
709.3026 | Chern numbers and the geometry of partial flag manifolds | We calculate the Chern classes and Chern numbers for the natural almost
Hermitian structures of the partial flag manifolds F_n=SU(n+2)/S(U(n)\times
U(1)\times U(1)). For all n>1 there are two invariant complex algebraic
structures, which arise from the projectivizations of the holomorphic tangent
and cotangent bundles of complex projective spaces. The projectivization of the
cotangent bundle is the twistor space of a Grassmannian considered as a
quaternionic K\"ahler manifold. There is also an invariant nearly K\"ahler
structure, because F_n is a 3-symmetric space. We explain the relations between
the different structures and their Chern classes, and we prove that F_n is not
geometrically formal.
| math.DG math.AG | we calculate the chern classes and chern numbers for the natural almost hermitian structures of the partial flag manifolds f_nsun2suntimes u1times u1 for all n1 there are two invariant complex algebraic structures which arise from the projectivizations of the holomorphic tangent and cotangent bundles of complex projective spaces the projectivization of the cotangent bundle is the twistor space of a grassmannian considered as a quaternionic kahler manifold there is also an invariant nearly kahler structure because f_n is a 3symmetric space we explain the relations between the different structures and their chern classes and we prove that f_n is not geometrically formal | [['we', 'calculate', 'the', 'chern', 'classes', 'and', 'chern', 'numbers', 'for', 'the', 'natural', 'almost', 'hermitian', 'structures', 'of', 'the', 'partial', 'flag', 'manifolds', 'f_nsun2suntimes', 'u1times', 'u1', 'for', 'all', 'n1', 'there', 'are', 'two', 'invariant', 'complex', 'algebraic', 'structures', 'which', 'arise', 'from', 'the', 'projectivizations', 'of', 'the', 'holomorphic', 'tangent', 'and', 'cotangent', 'bundles', 'of', 'complex', 'projective', 'spaces', 'the', 'projectivization', 'of', 'the', 'cotangent', 'bundle', 'is', 'the', 'twistor', 'space', 'of', 'a', 'grassmannian', 'considered', 'as', 'a', 'quaternionic', 'kahler', 'manifold', 'there', 'is', 'also', 'an', 'invariant', 'nearly', 'kahler', 'structure', 'because', 'f_n', 'is', 'a', '3symmetric', 'space', 'we', 'explain', 'the', 'relations', 'between', 'the', 'different', 'structures', 'and', 'their', 'chern', 'classes', 'and', 'we', 'prove', 'that', 'f_n', 'is', 'not', 'geometrically', 'formal']] | [-0.2795073303606103, 0.12378943860280157, -0.037596884930487906, 0.1338544292191025, -0.14440349378337217, -0.11671401516506726, -0.07084146190877302, 0.37728017299334604, -0.3067397003311037, -0.16878357898480822, 0.07488382361958375, -0.23896841508437797, -0.23960415266527987, 0.15643374191275522, -0.10697967242818363, 0.017097801182160872, -0.004105563148727068, 0.06366945412655425, -0.1678660067229412, -0.2817709012000849, 0.517842834870709, -0.09915050992852834, 0.23702859919112507, 0.037511083048464046, 0.17090280055262075, -0.060959939277813874, 0.026170227695072053, -0.03530543615250839, -0.12389802573386195, 0.1378221451397063, 0.323632441885253, 0.03620039589822956, 0.11062597942833632, -0.36718508810966766, -0.1413500819097061, 0.24010571665914343, 0.09748210007841192, -0.03390808627677915, 0.047480071468352536, -0.29198174027375656, 0.06981803931406524, -0.09723132881243704, -0.13877985383946412, -0.15772911780606033, 0.054869663634217615, -0.026689159305821553, -0.1870584267423267, -0.0519402851607065, 0.09410816042610251, 0.12902550559979634, -0.08575255115341285, -0.08253862844240659, -0.17186361664588018, 0.07786306456229326, 0.03231604611685518, 0.04895553285126934, 0.10931185760194122, -0.053394442963607534, -0.12924572633173648, 0.4349639759869269, -0.054994006180158345, -0.3162833522857711, 0.06926492940966446, -0.14054995789572983, -0.19845589538943945, 0.18051129607207114, 0.07095674578086611, 0.1939213199490257, 0.04043175428494866, 0.19584693497572425, -0.1525504856674683, 0.05282642022881767, 0.08275378920082556, 0.0185530386855918, 0.16157628597212162, 0.07159686734033104, 0.11055924381950114, 0.07768414779981174, -0.002572263392739662, -0.12714456321180587, -0.3671659277290991, -0.2928603310368513, -0.11909897636626801, 0.21235355214774262, -0.12183805458601518, -0.18911216350152424, 0.4214669475885163, -0.046572451507396036, 0.26043480725055285, 0.14365998974568753, 0.21458195968263663, 0.024186917121918634, 0.06147289930584628, 0.046714805038922495, 0.17817859791477422, 0.25097162450783617, -0.013079727382057964, -0.10072941243150595, -0.09608489014484947, 0.1676085355903695] |
709.3027 | Phase diagram of a two-component Fermi gas with resonant interactions | The pairing of fermions is at the heart of superconductivity and
superfluidity. The recent experimental realization of strongly interacting
atomic Fermi gases has opened a new, controllable way to study novel forms of
pairing and superfluidity. A major controversial issue has been the stability
of superfluidity against an imbalance between the two spin components when the
fermions interact resonantly. Here we present the phase diagram of a
spin-polarized Fermi gas of $^6$Li atoms at unitarity, mapping out the
superfluid phase versus temperature and density imbalance. Using tomographic
techniques, we reveal spatial discontinuities in the spin polarization, the
signature of a first-order superfluid-to-normal phase transition, which
disappears at a tricritical point where the nature of the phase transition
changes from first-order to second-order. At zero temperature, there is a
quantum phase transition from a fully-paired superfluid to a
partially-polarized normal gas. These observations and the implementation of an
in situ ideal gas thermometer provide quantitative tests of theoretical
calculations on the stability of resonant superfluidity.
| cond-mat.soft | the pairing of fermions is at the heart of superconductivity and superfluidity the recent experimental realization of strongly interacting atomic fermi gases has opened a new controllable way to study novel forms of pairing and superfluidity a major controversial issue has been the stability of superfluidity against an imbalance between the two spin components when the fermions interact resonantly here we present the phase diagram of a spinpolarized fermi gas of 6li atoms at unitarity mapping out the superfluid phase versus temperature and density imbalance using tomographic techniques we reveal spatial discontinuities in the spin polarization the signature of a firstorder superfluidtonormal phase transition which disappears at a tricritical point where the nature of the phase transition changes from firstorder to secondorder at zero temperature there is a quantum phase transition from a fullypaired superfluid to a partiallypolarized normal gas these observations and the implementation of an in situ ideal gas thermometer provide quantitative tests of theoretical calculations on the stability of resonant superfluidity | [['the', 'pairing', 'of', 'fermions', 'is', 'at', 'the', 'heart', 'of', 'superconductivity', 'and', 'superfluidity', 'the', 'recent', 'experimental', 'realization', 'of', 'strongly', 'interacting', 'atomic', 'fermi', 'gases', 'has', 'opened', 'a', 'new', 'controllable', 'way', 'to', 'study', 'novel', 'forms', 'of', 'pairing', 'and', 'superfluidity', 'a', 'major', 'controversial', 'issue', 'has', 'been', 'the', 'stability', 'of', 'superfluidity', 'against', 'an', 'imbalance', 'between', 'the', 'two', 'spin', 'components', 'when', 'the', 'fermions', 'interact', 'resonantly', 'here', 'we', 'present', 'the', 'phase', 'diagram', 'of', 'a', 'spinpolarized', 'fermi', 'gas', 'of', '6li', 'atoms', 'at', 'unitarity', 'mapping', 'out', 'the', 'superfluid', 'phase', 'versus', 'temperature', 'and', 'density', 'imbalance', 'using', 'tomographic', 'techniques', 'we', 'reveal', 'spatial', 'discontinuities', 'in', 'the', 'spin', 'polarization', 'the', 'signature', 'of', 'a', 'firstorder', 'superfluidtonormal', 'phase', 'transition', 'which', 'disappears', 'at', 'a', 'tricritical', 'point', 'where', 'the', 'nature', 'of', 'the', 'phase', 'transition', 'changes', 'from', 'firstorder', 'to', 'secondorder', 'at', 'zero', 'temperature', 'there', 'is', 'a', 'quantum', 'phase', 'transition', 'from', 'a', 'fullypaired', 'superfluid', 'to', 'a', 'partiallypolarized', 'normal', 'gas', 'these', 'observations', 'and', 'the', 'implementation', 'of', 'an', 'in', 'situ', 'ideal', 'gas', 'thermometer', 'provide', 'quantitative', 'tests', 'of', 'theoretical', 'calculations', 'on', 'the', 'stability', 'of', 'resonant', 'superfluidity']] | [-0.18254143249054677, 0.2401003295446749, -0.11290297226372698, 0.02212679030078395, -0.009175360921157024, -0.15150049881918765, 0.12829077099421538, 0.32320069587539607, -0.24319307503245044, -0.22952832766842643, 0.0025095329009473507, -0.32739045982044646, -0.0821977221497857, 0.1278034201865766, 0.06169934082696805, 0.04984069173969612, -0.03606942797181901, -0.021439229061354304, -0.16564900863052504, -0.19216303134182852, 0.35427138556885285, 0.014610851046532711, 0.3114960335518756, 0.11262957038068236, 0.0685352850989325, -0.048067274016098165, 0.08923251495026506, -0.01014994316529937, -0.1433756390640444, 0.017512060001624887, 0.26366684558835424, -0.03491024544289358, 0.20648536707910642, -0.4225884779901585, -0.2189651905536288, 0.0722024419668653, 0.13536944636037265, 0.1620008369741632, -0.10570139378925399, -0.3154892327161733, -0.049503860863141444, -0.17630095034127874, -0.17352658774840032, -0.11578013287380157, -0.015245935195308426, -0.031133820480246824, -0.21465894269825117, 0.10848605532835169, 0.05602081079410798, 0.13058071424463222, -0.05727618073948046, -0.06734344819219919, -0.020827108139467494, 0.05646639143733631, -0.007231622165574397, 0.06592815185658543, 0.13131149285440985, -0.1691746418335952, -0.07779042974466503, 0.3784044886259192, -0.08123882313254686, -0.06679419365643365, 0.23344620643574007, -0.18734088701922902, -0.11493948297631904, 0.17507167628159884, 0.11201913819418334, 0.0448433806148653, -0.09599802446760672, 0.02964476749823406, -0.036057834267167646, 0.18108910671524028, 0.017619699535028236, 0.036134829690748056, 0.335816104271699, 0.22367743047936706, 0.044520721825791976, 0.13647273777154978, -0.14886610913970622, -0.10617420400447417, -0.27624441939406097, -0.17794552511853598, -0.20205068139915877, -0.0026383642504764038, -0.01854607476902524, -0.17047252211785058, 0.382140642401149, 0.15591739667238805, 0.20129767909259877, -0.07963135131001586, 0.3089296396498046, 0.11948744688046778, 0.020629866627930867, 0.02093547792457862, 0.27233959900615623, 0.19196497300844184, 0.08144222404353502, -0.31750279012712557, 0.04423845998329542, 0.04459209902433497] |
709.3028 | Emerging complexity in a simple model of the mechanical behaviour of
rocks | We propose a mechanical model for the behaviour of rocks based on progressive
damage at the elementary scale and elastic interaction. It allows us to
simulate several experimental observations: mechanical behaviour ranging from
brittle to ductile, fractal structure of the damage, powerlaw distribution of
the damage avalanches. These macroscopic properties are not incorporated at the
elementary scale, but are the results of the interaction between elements. This
emerging complexity permits us to consider the strain rock process as a complex
system characterized by non-linear dynamics.
| physics.geo-ph | we propose a mechanical model for the behaviour of rocks based on progressive damage at the elementary scale and elastic interaction it allows us to simulate several experimental observations mechanical behaviour ranging from brittle to ductile fractal structure of the damage powerlaw distribution of the damage avalanches these macroscopic properties are not incorporated at the elementary scale but are the results of the interaction between elements this emerging complexity permits us to consider the strain rock process as a complex system characterized by nonlinear dynamics | [['we', 'propose', 'a', 'mechanical', 'model', 'for', 'the', 'behaviour', 'of', 'rocks', 'based', 'on', 'progressive', 'damage', 'at', 'the', 'elementary', 'scale', 'and', 'elastic', 'interaction', 'it', 'allows', 'us', 'to', 'simulate', 'several', 'experimental', 'observations', 'mechanical', 'behaviour', 'ranging', 'from', 'brittle', 'to', 'ductile', 'fractal', 'structure', 'of', 'the', 'damage', 'powerlaw', 'distribution', 'of', 'the', 'damage', 'avalanches', 'these', 'macroscopic', 'properties', 'are', 'not', 'incorporated', 'at', 'the', 'elementary', 'scale', 'but', 'are', 'the', 'results', 'of', 'the', 'interaction', 'between', 'elements', 'this', 'emerging', 'complexity', 'permits', 'us', 'to', 'consider', 'the', 'strain', 'rock', 'process', 'as', 'a', 'complex', 'system', 'characterized', 'by', 'nonlinear', 'dynamics']] | [-0.0775412512860973, 0.20133978351676726, -0.12350082726847819, 0.058231793924150066, -0.06936311078367426, -0.09223521109122564, 0.011842131754383445, 0.35844191501793615, -0.32531708764898426, -0.3123835316585267, 0.06230409573215772, -0.27910668629457874, -0.18385130895493443, 0.16322917593916988, -0.005547634928542025, 0.09893184463657877, -0.006489661713952527, -0.021810156005599043, -0.012953482727136681, -0.14242062197779032, 0.2979325163150754, 0.08290988790309604, 0.31383455531562077, 0.04307312974706292, 0.06920620274236973, -0.006953837325358215, 0.026974231432027675, 0.027827679891796672, -0.1349762924015522, 0.13304664083920859, 0.2092604287858943, 0.04732594068764764, 0.22520977075978676, -0.5200978174367372, -0.2541212641469696, 0.05806675186271176, 0.08051253744565388, 0.10084757523282487, 0.012953405307523687, -0.24181472879889257, 0.03533731063225252, -0.16202258808428752, -0.1737718295360751, -0.0717116534271661, 0.006377627045902259, 0.036002994854660596, -0.24321086673846687, 0.11116557147025186, 0.05260797238306088, 0.07098852824419737, -0.08657880404977786, -0.04871589123298797, 0.004376492213786525, 0.13393381166764917, 0.055311307433978926, -0.07445748610531583, 0.22528262456659884, -0.11434899522265529, -0.061153241027803985, 0.42840537719209404, 0.0193905008436345, -0.140675624580506, 0.25353065367363503, -0.12286274543251186, -0.09204877515816513, 0.22669423062025623, 0.23798027591889395, 0.03822921001188019, -0.1672349346918054, 0.020423034183434486, 0.03506473318043658, 0.17728156906908707, 0.036955982030314555, 0.015920896411818618, 0.18627041479682221, 0.25648569013266004, -0.035359592965858826, 0.1725870697437238, -0.06481817327165866, -0.08853019308298826, -0.2823306124438258, -0.11670772867167697, -0.16964556698084754, 0.08903482663736213, -0.10250577529984772, -0.21778841971912805, 0.4033846690593397, 0.16474237586645518, 0.1916315229719176, 0.06813912411384723, 0.19893798728418702, 0.04031582812039072, 0.07748187532758012, -0.009829250460161882, 0.25444997237885697, 0.10878435249221237, 0.11501759420532515, -0.2316658084465684, 0.12985277132076375, 0.017981032840907574] |
709.3029 | (Co)homology of quantum complete intersections | We construct a minimal projective bimodule resolution for every finite
dimensional quantum complete intersection of codimension two. Then we use this
resolution to compute both the Hochschild cohomology and homology for such an
algebra. In particular, we show that the cohomology vanishes in high degrees,
while the homology is always nonzero.
| math.KT math.QA | we construct a minimal projective bimodule resolution for every finite dimensional quantum complete intersection of codimension two then we use this resolution to compute both the hochschild cohomology and homology for such an algebra in particular we show that the cohomology vanishes in high degrees while the homology is always nonzero | [['we', 'construct', 'a', 'minimal', 'projective', 'bimodule', 'resolution', 'for', 'every', 'finite', 'dimensional', 'quantum', 'complete', 'intersection', 'of', 'codimension', 'two', 'then', 'we', 'use', 'this', 'resolution', 'to', 'compute', 'both', 'the', 'hochschild', 'cohomology', 'and', 'homology', 'for', 'such', 'an', 'algebra', 'in', 'particular', 'we', 'show', 'that', 'the', 'cohomology', 'vanishes', 'in', 'high', 'degrees', 'while', 'the', 'homology', 'is', 'always', 'nonzero']] | [-0.22415777266609901, 0.06710681674674418, -0.06644598969860989, 0.058040143565877396, -0.05417788368375862, -0.14833360339752308, -0.08990641944932148, 0.35676654900296356, -0.3763514440141472, -0.15397030348871268, 0.11665556085405543, -0.22828106258941047, -0.14569961770857667, 0.11264122153321902, -0.19525951469390124, -0.04885304387768402, 0.07684675494994164, 0.1384569903397385, -0.11884243075516732, -0.2819655161789235, 0.41711045991556317, -0.009884420045030614, 0.21474349812841884, 0.12811094478649251, 0.1908549899326674, 0.009840050547876778, 0.025532945561423607, 0.0136280582085544, -0.20461006161791623, 0.09928981289632764, 0.37849628625839365, 0.018312339232686686, 0.15295475491267793, -0.39405165162273026, -0.09619573735650264, 0.22740142513979592, 0.13390382870520448, 0.09036732168740355, -0.010597820491895225, -0.18214973606461404, 0.167042516957165, -0.24043238615872814, -0.14053308446982912, -0.14835230494831123, 0.05803774633243972, -0.06981758214647461, -0.19940336954359913, -0.03605992586224103, 0.035125969963915205, 0.18939622694297747, -0.07374058766107933, -0.02532662922406898, -0.11452486965001799, 0.121172226691509, -0.10434381989305656, 0.02303486475355777, 0.058498452945986726, -0.1207830607681364, -0.17991018179329296, 0.3458864501147878, -0.07465031777745952, -0.2537485393695533, 0.13965320996209687, -0.2337464625746304, -0.24265703654793255, 0.11983237011979024, 0.007553445503992193, 0.19199303181513266, 0.0560522262810492, 0.19345302125507527, -0.05521490735312303, 0.10977935297962498, 0.1046088271244776, 0.013567888935772227, 0.16034313733232955, 0.09186192395110779, 0.14303755090005843, 0.12435225181865926, -0.06224093252939044, -0.06407160708205957, -0.3659712149597266, -0.3017535072331335, -0.15513567752478755, 0.1837065769816, -0.15912926930211732, -0.17639966741861665, 0.4192596442413096, 0.14227877954801763, 0.2062594021177467, 0.1674588409745518, 0.32882172701989903, 0.048772953268067507, 0.06017104547251673, 0.06980464047770582, 0.11231890705176721, 0.1967811166290559, -0.03762787631165017, -0.12771920142147472, -0.09948774756790668, 0.24033347378466643] |
709.303 | Recent results on (anti)nucleus and (anti)hyperon production in
nucleus-nucleus collisions at CERN SPS energies | The NA49 experiment has collected comprehensive data on particle production
in nucleus-nucleus collisions over the whole SPS beam energies range, the
critical energy domain where the expected phase transition to a deconfined
phase is expected to occur. The latest results from Pb+Pb collisions between
20$A$ GeV and 158$A$ GeV on baryon stopping and light nuclei production as well
as those for strange hyperons are presented.
The measured data on $p$, $\bar{p}$, $\Lambda$, $\bar{\Lambda}$, $\Xi^-$ and
$\bar{\Xi}^+$ production were used to evaluate the rapidity distributions of
net-baryons at SPS energies and to compare with the results from the AGS and
the RHIC for central Pb+Pb (Au+Au) collisions.
The dependence of the yield ratios and the inverse slope parameter of the
$m_t$ spectra on the collision energy and centrality, and the mass number of
the produced nuclei $^3He$, $t$, $d$ and $\bar{d}$ are discussed within
coalescence and statistical approaches. Analysis of the total multiplicity
exhibits remarkable agreement between the measured yield for $^3He$ and those
predicted by the statistical hadronization model.
In addition, new results on $\Lambda$ and $\bar{\Lambda}$ as well as $\Xi^-$
production in minimum bias Pb+Pb reactions at 40$A$ GeV and 158$A$ GeV and
central C+C, Si+Si and Pb+Pb collisions are presented. The system size
dependence of the yields of these hyperons was analysed to determine the
evolution of strangeness enhancement relative to elementary p+p collisions.
| nucl-ex | the na49 experiment has collected comprehensive data on particle production in nucleusnucleus collisions over the whole sps beam energies range the critical energy domain where the expected phase transition to a deconfined phase is expected to occur the latest results from pbpb collisions between 20a gev and 158a gev on baryon stopping and light nuclei production as well as those for strange hyperons are presented the measured data on p barp lambda barlambda xi and barxi production were used to evaluate the rapidity distributions of netbaryons at sps energies and to compare with the results from the ags and the rhic for central pbpb auau collisions the dependence of the yield ratios and the inverse slope parameter of the m_t spectra on the collision energy and centrality and the mass number of the produced nuclei 3he t d and bard are discussed within coalescence and statistical approaches analysis of the total multiplicity exhibits remarkable agreement between the measured yield for 3he and those predicted by the statistical hadronization model in addition new results on lambda and barlambda as well as xi production in minimum bias pbpb reactions at 40a gev and 158a gev and central cc sisi and pbpb collisions are presented the system size dependence of the yields of these hyperons was analysed to determine the evolution of strangeness enhancement relative to elementary pp collisions | [['the', 'na49', 'experiment', 'has', 'collected', 'comprehensive', 'data', 'on', 'particle', 'production', 'in', 'nucleusnucleus', 'collisions', 'over', 'the', 'whole', 'sps', 'beam', 'energies', 'range', 'the', 'critical', 'energy', 'domain', 'where', 'the', 'expected', 'phase', 'transition', 'to', 'a', 'deconfined', 'phase', 'is', 'expected', 'to', 'occur', 'the', 'latest', 'results', 'from', 'pbpb', 'collisions', 'between', '20a', 'gev', 'and', '158a', 'gev', 'on', 'baryon', 'stopping', 'and', 'light', 'nuclei', 'production', 'as', 'well', 'as', 'those', 'for', 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709.3031 | On the origin of ultra high energy cosmic rays: Subluminal and
superluminal relativistic shocks | The flux of Ultra High Energy Cosmic Rays (UHECRs) at $E>10^{18.5}$ eV is
believed to arise in plasma shock environments in extragalactic sources. In
this paper, we present a systematic study of particle acceleration by
relativistic shocks, in particular concerning the dependence on bulk Lorentz
factor and the angle between the magnetic field and the shockflow. For the
first time, simulation results of super- and subluminal shocks with boost
factors up to $\Gamma=1000$ are investigated and compared systematically. While
superluminal shocks are shown to be inefficient at the highest energies
($E>10^{18.5}$ eV), subluminal shocks may provide particles up to $10^{21}$ eV,
limited only by the Hillas-criterion. For the subluminal case, we find that
mildly relativistic shocks, thought to occur in jets of Active Galactic Nuclei
(AGN, $\Gamma\sim 10-30$) yield energy spectra of $dN/dE\sim E^{-2}$. Highly
relativistic shocks expected in Gamma Ray Bursts (GRBs, $100<\Gamma<1000$), on
the other hand, have spectra as flat as $E^{-1.5}$. The model results are
compared to the measured flux of Cosmic Rays at the highest energies and it is
shown that, while AGN spectra are well-suited, GRB spectra are too flat to
explain the observed flux. The first evidence of a correlation between the
Cosmic Ray flux above $5.7\cdot 10^{10}$ GeV and the distribution of AGN by
Auger are explained by the model. Neutrino production is expected in GRBs,
either in mildly or highly relativistic shocks and although these sources are
excluded as the principle origin of UHECRs, superluminal shocks in particular
may be observable via neutrino and photon fluxes, rather than as protons.
| astro-ph | the flux of ultra high energy cosmic rays uhecrs at e10185 ev is believed to arise in plasma shock environments in extragalactic sources in this paper we present a systematic study of particle acceleration by relativistic shocks in particular concerning the dependence on bulk lorentz factor and the angle between the magnetic field and the shockflow for the first time simulation results of super and subluminal shocks with boost factors up to gamma1000 are investigated and compared systematically while superluminal shocks are shown to be inefficient at the highest energies e10185 ev subluminal shocks may provide particles up to 1021 ev limited only by the hillascriterion for the subluminal case we find that mildly relativistic shocks thought to occur in jets of active galactic nuclei agn gammasim 1030 yield energy spectra of dndesim e2 highly relativistic shocks expected in gamma ray bursts grbs 100gamma1000 on the other hand have spectra as flat as e15 the model results are compared to the measured flux of cosmic rays at the highest energies and it is shown that while agn spectra are wellsuited grb spectra are too flat to explain the observed flux the first evidence of a correlation between the cosmic ray flux above 57cdot 1010 gev and the distribution of agn by auger are explained by the model neutrino production is expected in grbs either in mildly or highly relativistic shocks and although these sources are excluded as the principle origin of uhecrs superluminal shocks in particular may be observable via neutrino and photon fluxes rather than as protons | [['the', 'flux', 'of', 'ultra', 'high', 'energy', 'cosmic', 'rays', 'uhecrs', 'at', 'e10185', 'ev', 'is', 'believed', 'to', 'arise', 'in', 'plasma', 'shock', 'environments', 'in', 'extragalactic', 'sources', 'in', 'this', 'paper', 'we', 'present', 'a', 'systematic', 'study', 'of', 'particle', 'acceleration', 'by', 'relativistic', 'shocks', 'in', 'particular', 'concerning', 'the', 'dependence', 'on', 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709.3032 | Erratum: algebraic spin liquid as the mother of many competing orders | We correct an error in our paper Phys. Rev. B 72, 104404 (2005)
[cond-mat/0502215]. We show that a particular fermion bilinear is not related
to the other ``competing orders'' of the algebraic spin liquid, and does not
possess their slowly decaying correlations. For the square lattice staggered
flux spin liquid (equivalently, d-wave RVB state), this observable corresponds
to the uniform spin chirality.
| cond-mat.str-el | we correct an error in our paper phys rev b 72 104404 2005 condmat0502215 we show that a particular fermion bilinear is not related to the other competing orders of the algebraic spin liquid and does not possess their slowly decaying correlations for the square lattice staggered flux spin liquid equivalently dwave rvb state this observable corresponds to the uniform spin chirality | [['we', 'correct', 'an', 'error', 'in', 'our', 'paper', 'phys', 'rev', 'b', '72', '104404', '2005', 'condmat0502215', 'we', 'show', 'that', 'a', 'particular', 'fermion', 'bilinear', 'is', 'not', 'related', 'to', 'the', 'other', 'competing', 'orders', 'of', 'the', 'algebraic', 'spin', 'liquid', 'and', 'does', 'not', 'possess', 'their', 'slowly', 'decaying', 'correlations', 'for', 'the', 'square', 'lattice', 'staggered', 'flux', 'spin', 'liquid', 'equivalently', 'dwave', 'rvb', 'state', 'this', 'observable', 'corresponds', 'to', 'the', 'uniform', 'spin', 'chirality']] | [-0.15174649846740068, 0.2739135025634217, -0.0363512744816641, 0.034355952451005575, -0.10467732598384222, -0.1383705365859593, 0.06770950116721602, 0.3655537082348019, -0.2126075153471902, -0.25240065620358415, 0.008891717878092701, -0.28665492286284766, -0.08474239045754076, 0.10388994173457225, -0.03079649298451841, 0.017377145402133466, -0.03290751407233377, 0.035681139786417286, -0.18564935237712538, -0.3046273694218447, 0.23681052935620148, 0.0035490845407669743, 0.2972165483981371, 0.08685939609810399, 0.056215880648233, 0.055243729962967336, 0.05878481597173959, -0.01814595644827932, -0.16069947649242142, -0.004348227185740446, 0.18914714142059286, -0.04324072936239342, 0.14587577980322142, -0.4260391993137697, -0.16820542629187304, 0.1443977413078149, 0.13024082876121004, 0.1602679735980928, 0.04416315797716379, -0.30495620298509796, 0.018662482096503178, -0.26072610126187407, -0.17386986293519538, -0.1609993130279084, 0.04039812710640642, -0.03206746927559531, -0.2876735505725568, 0.17763837979485592, 0.1528789378896666, 0.03714861430538197, -0.005179184801333273, -0.15544308967073447, -0.062312515107138707, 0.014668872230686247, 0.053809081990038976, 0.14555686038608354, 0.08027514619752765, -0.09628396299279605, -0.18662205940733353, 0.3184614545976122, -0.07375799866082768, -0.2098926990913848, 0.21019510161907723, -0.14104888710814217, -0.0874036629490244, 0.14898485361287991, 0.11117290258407593, 0.08362967632710934, -0.12170383708241085, 0.0756892006834581, -0.13497277842834593, 0.21780706217202048, 0.0024976649787276984, 0.07620954948943108, 0.25385038973957613, 0.11513812817865983, 0.06852766762798031, 0.10108881998748984, -0.12368268265854568, -0.14260268970392645, -0.27456451424707967, -0.17952675868291407, -0.23433151190790039, 0.10340598212448336, -0.007867857037490466, -0.1913801343801121, 0.4332395684594909, 0.1401034756641214, 0.13335359627380966, -0.007540871001159151, 0.15907834585523234, 0.08828550829590918, 0.018815551233516695, 0.12704476404954523, 0.24786861532678206, 0.1685292899608612, 0.07504972641666731, -0.31198250177161146, 0.0005442378654455146, 0.04898399769638975] |
709.3033 | Comparison of quantization of charge transport in periodic and open
pumps | We compare the charges transported in two systems, a spatially periodic and
an open quantum pump, both depending periodically and adiabatically on time.
The charge transported in a cycle was computed by Thouless, respectively by
Buttiker et al. in the two cases. We show that the results agree in the limit
where the two physical situations become the same, i.e., that of a large open
pump.
| math-ph cond-mat.mes-hall math.MP | we compare the charges transported in two systems a spatially periodic and an open quantum pump both depending periodically and adiabatically on time the charge transported in a cycle was computed by thouless respectively by buttiker et al in the two cases we show that the results agree in the limit where the two physical situations become the same ie that of a large open pump | [['we', 'compare', 'the', 'charges', 'transported', 'in', 'two', 'systems', 'a', 'spatially', 'periodic', 'and', 'an', 'open', 'quantum', 'pump', 'both', 'depending', 'periodically', 'and', 'adiabatically', 'on', 'time', 'the', 'charge', 'transported', 'in', 'a', 'cycle', 'was', 'computed', 'by', 'thouless', 'respectively', 'by', 'buttiker', 'et', 'al', 'in', 'the', 'two', 'cases', 'we', 'show', 'that', 'the', 'results', 'agree', 'in', 'the', 'limit', 'where', 'the', 'two', 'physical', 'situations', 'become', 'the', 'same', 'ie', 'that', 'of', 'a', 'large', 'open', 'pump']] | [-0.16855749529504188, 0.22034494913466254, -0.03505536477843469, 0.021535993342033842, 0.0650429640271327, -0.14117660039725402, 0.05951668966956662, 0.3541123605700153, -0.24140676067944503, -0.2833708137499564, 0.08793169776485725, -0.26767149720002303, -0.09623594815617031, 0.2694599495805574, -0.05257730285291362, 0.015815817355883843, 0.007567903231547186, -0.014129611621187492, -0.024278001282117188, -0.2407233466845796, 0.2910697904669426, -0.01121105996814246, 0.2734893834726377, 0.047136554776719124, 0.08352173912818685, -0.004945850005077029, 5.129851739514958e-05, 0.041071004797121335, -0.1270984076891733, 0.046841613835457596, 0.18583882523869927, -0.004512110873210159, 0.2444596131769658, -0.4834719024824374, -0.21673021366763295, 0.03491159127742955, 0.14452831843642122, 0.13159894641263015, -0.040345147275013114, -0.26766073441302235, 0.023770252539014273, -0.14003744545025806, -0.10519812368985379, -0.0053637886321115675, 0.061417086106358154, 0.06260955222233226, -0.23854475421831012, 0.04871271349574355, 0.05067278139970519, 0.015160112754639351, -0.0734799669660402, -0.05963757417559849, -0.047017084611015336, 0.1430847556541928, -0.015569821945532705, 0.02400823034854098, 0.14416564903645354, -0.11366301151274731, -0.13296038578405525, 0.3401589111326206, -0.1004820112562315, -0.2000703121549591, 0.1812060218741835, -0.1384681256939516, -0.09370851110328328, 0.08235285491118151, 0.09552831655706871, 0.12289717657999559, -0.1351905965782476, 0.08092316739423426, -0.07234619438267229, 0.17049841857938605, 0.111962050382951, -0.005270079018153025, 0.21658899271014062, 0.09887253751300952, 0.05100069662633663, 0.1557827933275169, -0.0790076466474795, -0.1492373509249636, -0.26971568480472674, -0.137223130585908, -0.22587185235567053, 0.05090255267339561, -0.0371883115066973, -0.10414695073709343, 0.41467351584949275, 0.17043521549468013, 0.25392628088593483, -0.024300996863254994, 0.260264184318878, 0.13158110932933845, 0.00851943071712881, 0.13803911275427902, 0.2625445391044416, 0.11274358051984261, 0.12722742817872626, -0.25919477362185717, -0.032681139552909313, 0.020543037349301758] |
709.3034 | Query Evaluation in P2P Systems of Taxonomy-based Sources: Algorithms,
Complexity, and Optimizations | In this study, we address the problem of answering queries over a
peer-to-peer system of taxonomy-based sources. A taxonomy states subsumption
relationships between negation-free DNF formulas on terms and negation-free
conjunctions of terms. To the end of laying the foundations of our study, we
first consider the centralized case, deriving the complexity of the decision
problem and of query evaluation. We conclude by presenting an algorithm that is
efficient in data complexity and is based on hypergraphs. More expressive forms
of taxonomies are also investigated, which however lead to intractability. We
then move to the distributed case, and introduce a logical model of a network
of taxonomy-based sources. On such network, a distributed version of the
centralized algorithm is then presented, based on a message passing paradigm,
and its correctness is proved. We finally discuss optimization issues, and
relate our work to the literature.
| cs.DB cs.DC cs.DS cs.LO | in this study we address the problem of answering queries over a peertopeer system of taxonomybased sources a taxonomy states subsumption relationships between negationfree dnf formulas on terms and negationfree conjunctions of terms to the end of laying the foundations of our study we first consider the centralized case deriving the complexity of the decision problem and of query evaluation we conclude by presenting an algorithm that is efficient in data complexity and is based on hypergraphs more expressive forms of taxonomies are also investigated which however lead to intractability we then move to the distributed case and introduce a logical model of a network of taxonomybased sources on such network a distributed version of the centralized algorithm is then presented based on a message passing paradigm and its correctness is proved we finally discuss optimization issues and relate our work to the literature | [['in', 'this', 'study', 'we', 'address', 'the', 'problem', 'of', 'answering', 'queries', 'over', 'a', 'peertopeer', 'system', 'of', 'taxonomybased', 'sources', 'a', 'taxonomy', 'states', 'subsumption', 'relationships', 'between', 'negationfree', 'dnf', 'formulas', 'on', 'terms', 'and', 'negationfree', 'conjunctions', 'of', 'terms', 'to', 'the', 'end', 'of', 'laying', 'the', 'foundations', 'of', 'our', 'study', 'we', 'first', 'consider', 'the', 'centralized', 'case', 'deriving', 'the', 'complexity', 'of', 'the', 'decision', 'problem', 'and', 'of', 'query', 'evaluation', 'we', 'conclude', 'by', 'presenting', 'an', 'algorithm', 'that', 'is', 'efficient', 'in', 'data', 'complexity', 'and', 'is', 'based', 'on', 'hypergraphs', 'more', 'expressive', 'forms', 'of', 'taxonomies', 'are', 'also', 'investigated', 'which', 'however', 'lead', 'to', 'intractability', 'we', 'then', 'move', 'to', 'the', 'distributed', 'case', 'and', 'introduce', 'a', 'logical', 'model', 'of', 'a', 'network', 'of', 'taxonomybased', 'sources', 'on', 'such', 'network', 'a', 'distributed', 'version', 'of', 'the', 'centralized', 'algorithm', 'is', 'then', 'presented', 'based', 'on', 'a', 'message', 'passing', 'paradigm', 'and', 'its', 'correctness', 'is', 'proved', 'we', 'finally', 'discuss', 'optimization', 'issues', 'and', 'relate', 'our', 'work', 'to', 'the', 'literature']] | [-0.14232924103190372, -0.022914837999653374, -0.05531174794305116, 0.06988703773418416, -0.10228371089841756, -0.12591606393753965, 0.13097520804472473, 0.37678468217200134, -0.2772851572339682, -0.30375754840982455, 0.10085254338951523, -0.2543886601326651, -0.17208104841928515, 0.18479406801149403, -0.12320349215537539, 0.04629276344874395, 0.053413364958638944, 0.030312494108026538, -0.0610365570707169, -0.2784938886891016, 0.35325870412149624, 0.031093280406720523, 0.2619210966917712, 0.065360762230638, 0.09826639157593793, -0.0001664964899343128, -0.04235191184367674, 0.02150064179537973, -0.11492285362515355, 0.18977044680529312, 0.2798591915311085, 0.2597747058769326, 0.31061767497643206, -0.4180123765125043, -0.1421569491722039, 0.08812410411661, 0.13584768759513585, 0.09990138819638458, -0.01894501936769504, -0.2923049705924414, 0.10290602217719425, -0.1820364128992272, -0.03858147518056083, -0.06822762609226629, 0.011654299709738957, 0.02032864214642258, -0.23963493718636325, -0.0023337451940379753, 0.09711527779775982, 0.05649681078244208, -0.05356152803627386, -0.08390178568354006, 0.0659730453917291, 0.09343286582103853, 0.018138044858157325, -0.007771507267736726, 0.08528366126766843, -0.11058614800600076, -0.19896453453434837, 0.3817442477706613, 0.02027961141195394, -0.1935783654868525, 0.14866115934597068, -0.020326086843851954, -0.18069259795528422, 0.03725501244318568, 0.21955064293514523, 0.15054287387910234, -0.15182055371891087, 0.0844206206812588, -0.06942472959053703, 0.17083887531933012, 0.06354528123241228, 0.029113198336239696, 0.14598821864314637, 0.22293300845194608, 0.08810744166516492, 0.20380754654049976, -0.029047708838738293, -0.11741518041364746, -0.2574524704573883, -0.17724334684640375, -0.1573717329069445, -0.029477638671071164, -0.0731152678096502, -0.18565843336707782, 0.401899588915209, 0.201693783643552, 0.1798327946647381, 0.15935632812923156, 0.32270324270939454, 0.10246587810171251, 0.0051983662803346915, 0.12733315360189104, 0.1620743433207584, 0.10388378186649384, 0.08998422772128833, -0.1567388218956896, 0.10457220502818625, 0.06627284076926622] |
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