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712.0079 | Non-Oberbeck-Boussinesq effects in turbulent thermal convection in
ethane close to the critical point | As shown in earlier work (Ahlers et al., J. Fluid Mech. 569, p.409 (2006)),
non-Oberbeck Boussinesq (NOB) corrections to the center temperature in
turbulent Rayleigh-Benard convection in water and also in glycerol are governed
by the temperature dependences of the kinematic viscosity and the thermal
diffusion coefficient. If the working fluid is ethane close to the critical
point the origin of non-Oberbeck-Boussinesq corrections is very different, as
will be shown in the present paper. Namely, the main origin of NOB corrections
then lies in the strong temperature dependence of the isobaric thermal
expansion coefficient \beta(T). More precisely, it is the nonlinear
T-dependence of the density \rho(T) in the buoyancy force which causes another
type of NOB effect. We demonstrate that through a combination of experimental,
numerical, and theoretical work, the latter in the framework of the extended
Prandtl-Blasius boundary layer theory developed in Ahlers et al., J. Fluid
Mech. 569, p.409 (2006). The latter comes to its limits, if the temperature
dependence of the thermal expension coefficient \beta(T) is significant.
| physics.flu-dyn | as shown in earlier work ahlers et al j fluid mech 569 p409 2006 nonoberbeck boussinesq nob corrections to the center temperature in turbulent rayleighbenard convection in water and also in glycerol are governed by the temperature dependences of the kinematic viscosity and the thermal diffusion coefficient if the working fluid is ethane close to the critical point the origin of nonoberbeckboussinesq corrections is very different as will be shown in the present paper namely the main origin of nob corrections then lies in the strong temperature dependence of the isobaric thermal expansion coefficient betat more precisely it is the nonlinear tdependence of the density rhot in the buoyancy force which causes another type of nob effect we demonstrate that through a combination of experimental numerical and theoretical work the latter in the framework of the extended prandtlblasius boundary layer theory developed in ahlers et al j fluid mech 569 p409 2006 the latter comes to its limits if the temperature dependence of the thermal expension coefficient betat is significant | [['as', 'shown', 'in', 'earlier', 'work', 'ahlers', 'et', 'al', 'j', 'fluid', 'mech', '569', 'p409', '2006', 'nonoberbeck', 'boussinesq', 'nob', 'corrections', 'to', 'the', 'center', 'temperature', 'in', 'turbulent', 'rayleighbenard', 'convection', 'in', 'water', 'and', 'also', 'in', 'glycerol', 'are', 'governed', 'by', 'the', 'temperature', 'dependences', 'of', 'the', 'kinematic', 'viscosity', 'and', 'the', 'thermal', 'diffusion', 'coefficient', 'if', 'the', 'working', 'fluid', 'is', 'ethane', 'close', 'to', 'the', 'critical', 'point', 'the', 'origin', 'of', 'nonoberbeckboussinesq', 'corrections', 'is', 'very', 'different', 'as', 'will', 'be', 'shown', 'in', 'the', 'present', 'paper', 'namely', 'the', 'main', 'origin', 'of', 'nob', 'corrections', 'then', 'lies', 'in', 'the', 'strong', 'temperature', 'dependence', 'of', 'the', 'isobaric', 'thermal', 'expansion', 'coefficient', 'betat', 'more', 'precisely', 'it', 'is', 'the', 'nonlinear', 'tdependence', 'of', 'the', 'density', 'rhot', 'in', 'the', 'buoyancy', 'force', 'which', 'causes', 'another', 'type', 'of', 'nob', 'effect', 'we', 'demonstrate', 'that', 'through', 'a', 'combination', 'of', 'experimental', 'numerical', 'and', 'theoretical', 'work', 'the', 'latter', 'in', 'the', 'framework', 'of', 'the', 'extended', 'prandtlblasius', 'boundary', 'layer', 'theory', 'developed', 'in', 'ahlers', 'et', 'al', 'j', 'fluid', 'mech', '569', 'p409', '2006', 'the', 'latter', 'comes', 'to', 'its', 'limits', 'if', 'the', 'temperature', 'dependence', 'of', 'the', 'thermal', 'expension', 'coefficient', 'betat', 'is', 'significant']] | [-0.09693956187032109, 0.1506455353896558, -0.10086851251193119, -0.026842702503905757, -0.06485142649189961, -0.08548613822848133, 0.025823453175366894, 0.2685550696949458, -0.2667675795234718, -0.28397448257317204, 0.042556860736990075, -0.29019722564437994, -0.13404356260761927, 0.1688859969619992, -0.054253492592530844, 0.03915679742156434, -0.01763423244309055, -0.029170691245097732, -0.007206860329052048, -0.20790177671178162, 0.25614641376732455, 0.12191194441161234, 0.27717862251805714, 0.12336356523749832, 0.0508224441499047, -0.0682503900700111, -0.03427731764872046, 0.049627359474309275, -0.21072080926632972, -0.004533191303827265, 0.2285720823310624, -0.038461655488557366, 0.21616096415463285, -0.3803107282642782, -0.243317401295627, 0.04664574687771455, 0.09953061720224086, 0.08052477417803044, 0.008177723903908151, -0.20783568382161233, 0.0314902623511917, -0.15661927884080884, -0.13472243355581615, -0.02342672480007471, 0.10099743412719411, 0.0011736114327547818, -0.2824613558205627, 0.2045768150085371, 0.10597709194329442, 0.07212788380008087, -0.0786877860592061, -0.1527729801800565, -0.08187320964554182, 0.03984821078053417, 0.07041539196214314, 0.039265819621333006, 0.14938897462616835, -0.12196180373209821, -0.027621884463828874, 0.374603239984731, -0.10464464700312393, -0.13639998262384412, 0.19999380942610417, -0.16722417603241357, -0.09671562982822311, 0.14317747754404409, 0.12416691009296908, 0.09684472210903669, -0.14246956907631553, 0.12313589890323547, -0.06699987370300399, 0.14076296164128604, 0.104108209391097, -0.06794754341630453, 0.15051302769133193, 0.14152576695003452, -0.018200359113663214, 0.10933560854548688, -0.1170323553740339, -0.10244311411112833, -0.2868641492133663, -0.15998720296606223, -0.16765808644732075, 0.040852035993721184, -0.084202639248581, -0.14147263385400938, 0.31213823408053737, 0.16629437306014472, 0.18315093963787224, -0.0089348515923777, 0.2566048292685631, 0.1328370990989366, -0.01113548260678113, 0.14463918575653312, 0.3121376893973562, 0.20922756629455944, 0.1775183486752212, -0.29221538369152583, 0.05420443758137039, 0.08011382420343408] |
712.008 | Universal Landauer conductance in chiral symmetric 2d systems | We study transport properties of an arbitrarily shaped ultraclean graphene
sheet, adiabatically connected to leads,composed by the same material. If the
localized interactions do not destroy chiral symmetry, we show that the
conductance is quantized, since it is dominated by the quasi one-dimensional
leads. As an example, we show that smooth structural deformations of the
graphene plane do not modify the conductance quantization.
| cond-mat.mes-hall cond-mat.str-el hep-th | we study transport properties of an arbitrarily shaped ultraclean graphene sheet adiabatically connected to leadscomposed by the same material if the localized interactions do not destroy chiral symmetry we show that the conductance is quantized since it is dominated by the quasi onedimensional leads as an example we show that smooth structural deformations of the graphene plane do not modify the conductance quantization | [['we', 'study', 'transport', 'properties', 'of', 'an', 'arbitrarily', 'shaped', 'ultraclean', 'graphene', 'sheet', 'adiabatically', 'connected', 'to', 'leadscomposed', 'by', 'the', 'same', 'material', 'if', 'the', 'localized', 'interactions', 'do', 'not', 'destroy', 'chiral', 'symmetry', 'we', 'show', 'that', 'the', 'conductance', 'is', 'quantized', 'since', 'it', 'is', 'dominated', 'by', 'the', 'quasi', 'onedimensional', 'leads', 'as', 'an', 'example', 'we', 'show', 'that', 'smooth', 'structural', 'deformations', 'of', 'the', 'graphene', 'plane', 'do', 'not', 'modify', 'the', 'conductance', 'quantization']] | [-0.2100012322827693, 0.2083298737646058, -0.06902954320802594, 0.004456457565538585, -0.05802158325687126, -0.15746332825191559, -0.021882480384045912, 0.4208658494415783, -0.3232247314506, -0.21784030589004677, 0.007858357489890149, -0.2725401286997141, -0.2478336698540877, 0.1522596377856849, -0.05156538319387173, -0.0128118809492838, 0.042851393854606054, -0.009323804932195813, -0.0767980169189433, -0.23877661951607274, 0.2862799523488408, 0.010706838986445819, 0.311409909961625, 0.08470146828931907, 0.02787059069340748, 0.030561365543924753, 0.1114438071306194, 0.08160986637155856, -0.14978455816092337, 0.031037406695465886, 0.18753519052669645, -0.09852461417716357, 0.17431835372812085, -0.5192694292674142, -0.20451619307089958, 0.058588859144478075, 0.18826842368129762, 0.16592773105648737, -0.043313323835571925, -0.24930102846795513, 0.10202646284033695, -0.14003667130225128, -0.16558778843271635, -0.11050847910284516, -0.03912432509804926, -0.014297350839291128, -0.1662715977253092, 0.07705638770224346, 0.1455098759653347, -0.003708667397844575, -0.06890922309755679, -0.007914491452186579, -0.12997713045126968, 0.092187863586831, -0.004665420082728228, -0.01652392546736425, 0.18574169561484707, -0.1411982410673743, -0.08132765323464428, 0.36523702790990714, -0.06387669028293702, -0.19914786876629917, 0.15409782345429243, -0.17578529877467983, -0.06185319883027865, 0.14989864981297643, 0.09037887665533251, 0.1033155549347641, -0.1334081067085912, 0.11611218715927774, -0.0732664785257751, 0.17354250281078426, 0.06392962422462241, 0.017672863330752138, 0.2675132510522681, 0.111437568786524, 0.10970964340583211, 0.1382676435375376, -0.06936073834226737, -0.057649558462623145, -0.2930274186655879, -0.14881899931858625, -0.2456123158880209, 0.14389861198639753, 0.007490976271231287, -0.26570066755577443, 0.3865785825276567, 0.13098118012590754, 0.25460729831379025, -0.029071242007757386, 0.2427971375666769, 0.1420847830464012, 0.09543904324903363, 0.06905855146056462, 0.25559630278017254, 0.14989739948613268, 0.042568550704257385, -0.2651088634663592, 0.06105094224274639, 0.016966522941666264] |
712.0081 | Radiative Strength Functions for Dipole Transitions in 57, 59Co | Average-resonance data on the (p,gamma) reaction on 56,58Fe that were taken
at proton energies of Ep=1.5-3.0 MeV are used to determine the absolute values
of the radiative strength functions for energies below 10 MeV. The results
obtained in this way are compared with the results of the calculations that
rely on the statistical approach and which take into account the temperature of
the nucleus and its shell structure. Good agreement with experimental data is
achieved without any variation of parameters.
| nucl-ex | averageresonance data on the pgamma reaction on 5658fe that were taken at proton energies of ep1530 mev are used to determine the absolute values of the radiative strength functions for energies below 10 mev the results obtained in this way are compared with the results of the calculations that rely on the statistical approach and which take into account the temperature of the nucleus and its shell structure good agreement with experimental data is achieved without any variation of parameters | [['averageresonance', 'data', 'on', 'the', 'pgamma', 'reaction', 'on', '5658fe', 'that', 'were', 'taken', 'at', 'proton', 'energies', 'of', 'ep1530', 'mev', 'are', 'used', 'to', 'determine', 'the', 'absolute', 'values', 'of', 'the', 'radiative', 'strength', 'functions', 'for', 'energies', 'below', '10', 'mev', 'the', 'results', 'obtained', 'in', 'this', 'way', 'are', 'compared', 'with', 'the', 'results', 'of', 'the', 'calculations', 'that', 'rely', 'on', 'the', 'statistical', 'approach', 'and', 'which', 'take', 'into', 'account', 'the', 'temperature', 'of', 'the', 'nucleus', 'and', 'its', 'shell', 'structure', 'good', 'agreement', 'with', 'experimental', 'data', 'is', 'achieved', 'without', 'any', 'variation', 'of', 'parameters']] | [-0.0067698128714963985, 0.11492289198780214, -0.0583682451431198, 0.08723804460499775, 0.008527895329102825, -0.06717535941302172, 0.075156466938652, 0.4156059129768378, -0.17815445236523042, -0.36011921464429275, 0.02751798604088896, -0.3078289397587008, 0.017102773821392615, 0.2518433537908721, 0.06391363959856235, 0.021234256062125968, 0.12171553242830681, 0.06389337383186469, -0.08327560700693881, -0.18323161958583764, 0.32897080090985475, 0.10298349317647033, 0.25979637105755704, 0.12501623491953542, 0.07593250630556472, -0.015625375093190702, 0.00020635847074838428, -0.019919076365987203, -0.18086779940901354, 0.11355474096565664, 0.21050131964412602, 0.04279720048456417, 0.1818306521579091, -0.4407869294382535, -0.20163524649166442, 0.07438744390504314, 0.06728626007528661, 0.09600776659367098, -0.023724166965172565, -0.2676444838017032, 0.10160179840183103, -0.12121945210768804, -0.12417613204520245, -0.0862048559689096, -0.027917303973446033, 0.04258810086538652, -0.27812008905396857, 0.07215762399620824, 0.0010723481559521192, 0.0449242216931594, -0.14595273552105653, -0.24083090783399227, -0.03300543903530418, 0.1467185936045724, 0.08885404262873163, 0.05824838173099455, 0.1546839082026975, -0.0920422813770446, -0.07660501161227365, 0.4159989092232926, -0.040748106013354546, -0.12965073944492775, 0.13288748754164229, -0.15341403271228848, -0.09996491888925046, 0.20173244790307113, 0.14037657529115677, 0.059285171662590334, -0.11489899045343256, 0.07572117509991656, 0.00296264627416219, 0.1969319572067493, 0.03509944451476943, 0.009679373038396718, 0.12705217817096742, 0.159490757900012, -0.034732241567538735, 0.04780271230265498, -0.1364729228556495, -0.07691977359354496, -0.3176778370345181, -0.07168561893866046, -0.16979649996796212, 0.03392770120196722, -0.10310527220838582, -0.07736731842523079, 0.37189745526857576, 0.13433869587039793, 0.26274203168010557, 0.04799669121192502, 0.27645585579531534, 0.11991532942788168, 0.11296074632434296, 0.04953642729851236, 0.32176341267617103, 0.1284707449648723, 0.08374386825659252, -0.24256694151161165, 0.0841290817426687, -0.005163987239750175] |
712.0082 | Density perturbations in f(R) gravity theories in metric and Palatini
formalisms | We make a detailed study of matter density perturbations in both metric and
Palatini formalisms in theories whose Lagrangian density is a general function,
f(R), of the Ricci scalar. We derive these equations in a number of gauges. We
show that for viable models that satisfy cosmological and local gravity
constraints (LGC), matter perturbation equations derived under a sub-horizon
approximation are valid even for super-Hubble scales provided the oscillating
mode (scalaron) does not dominate over the matter-induced mode. Such
approximate equations are especially reliable in the Palatini formalism because
of the absence of scalarons.
Using these equations we make a comparative study of the behaviour of density
perturbations as well as gravitational potentials for a number of classes of
theories. In the metric formalism the parameter m=Rf_{,RR}/f_{,R}
characterising the deviation from the Lambda CDM model is constrained to be
very small during the matter era in order to ensure compatibility with LGC, but
the models in which m grows to the order of 10^{-1} around the present epoch
can be allowed. These models also suffer from an additional fine tuning due to
the presence of scalaron modes which are absent in the Palatini case.
In Palatini formalism LGC and background cosmological constraints provide
only weak bounds on |m| by constraining it to be smaller than ~ 0.1. This is in
contrast to matter density perturbations which, on galactic scales, place far
more stringent constraints on the present deviation parameter m of the order of
|m| < 10^{-5} - 10^{-4}. This is due to the peculiar evolution of matter
perturbations in the Palatini case which exhibits a rapid growth or a damped
oscillation depending on the sign of m.
| astro-ph gr-qc hep-ph hep-th | we make a detailed study of matter density perturbations in both metric and palatini formalisms in theories whose lagrangian density is a general function fr of the ricci scalar we derive these equations in a number of gauges we show that for viable models that satisfy cosmological and local gravity constraints lgc matter perturbation equations derived under a subhorizon approximation are valid even for superhubble scales provided the oscillating mode scalaron does not dominate over the matterinduced mode such approximate equations are especially reliable in the palatini formalism because of the absence of scalarons using these equations we make a comparative study of the behaviour of density perturbations as well as gravitational potentials for a number of classes of theories in the metric formalism the parameter mrf_rrf_r characterising the deviation from the lambda cdm model is constrained to be very small during the matter era in order to ensure compatibility with lgc but the models in which m grows to the order of 101 around the present epoch can be allowed these models also suffer from an additional fine tuning due to the presence of scalaron modes which are absent in the palatini case in palatini formalism lgc and background cosmological constraints provide only weak bounds on m by constraining it to be smaller than 01 this is in contrast to matter density perturbations which on galactic scales place far more stringent constraints on the present deviation parameter m of the order of m 105 104 this is due to the peculiar evolution of matter perturbations in the palatini case which exhibits a rapid growth or a damped oscillation depending on the sign of m | [['we', 'make', 'a', 'detailed', 'study', 'of', 'matter', 'density', 'perturbations', 'in', 'both', 'metric', 'and', 'palatini', 'formalisms', 'in', 'theories', 'whose', 'lagrangian', 'density', 'is', 'a', 'general', 'function', 'fr', 'of', 'the', 'ricci', 'scalar', 'we', 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712.0083 | Smearing Distributions and their use in Financial Markets | It is shown that superpositions of path integrals with arbitrary Hamiltonians
and different scaling parameters v ("variances") obey the Chapman-Kolmogorov
relation for Markovian processes if and only if the corresponding smearing
distributions for v have a specific functional form. Ensuing "smearing"
distributions substantially simplify the coupled system of Fokker-Planck
equations for smeared and un-smeared conditional probabilities. Simple
application in financial models with stochastic volatility is presented.
| q-fin.ST cond-mat.stat-mech physics.soc-ph | it is shown that superpositions of path integrals with arbitrary hamiltonians and different scaling parameters v variances obey the chapmankolmogorov relation for markovian processes if and only if the corresponding smearing distributions for v have a specific functional form ensuing smearing distributions substantially simplify the coupled system of fokkerplanck equations for smeared and unsmeared conditional probabilities simple application in financial models with stochastic volatility is presented | [['it', 'is', 'shown', 'that', 'superpositions', 'of', 'path', 'integrals', 'with', 'arbitrary', 'hamiltonians', 'and', 'different', 'scaling', 'parameters', 'v', 'variances', 'obey', 'the', 'chapmankolmogorov', 'relation', 'for', 'markovian', 'processes', 'if', 'and', 'only', 'if', 'the', 'corresponding', 'smearing', 'distributions', 'for', 'v', 'have', 'a', 'specific', 'functional', 'form', 'ensuing', 'smearing', 'distributions', 'substantially', 'simplify', 'the', 'coupled', 'system', 'of', 'fokkerplanck', 'equations', 'for', 'smeared', 'and', 'unsmeared', 'conditional', 'probabilities', 'simple', 'application', 'in', 'financial', 'models', 'with', 'stochastic', 'volatility', 'is', 'presented']] | [-0.07966028757668524, 0.1599021476577036, -0.1032732379989642, 0.13369397469443467, -0.0756569764943737, -0.19935400090462557, 0.02937088870076519, 0.3889696325006133, -0.2537890951374941, -0.24174696619086194, 0.03268796104450964, -0.28065269658426667, -0.13721808214728354, 0.17734768213069235, -0.022832684825654283, 0.09183037691664966, 0.0964276132660664, 2.601058716236642e-05, -0.08686705695987312, -0.2240636954507367, 0.3328132746374291, 0.004904511187112693, 0.28078990555227257, -0.032181757488146875, 0.16933351841218997, 0.03952452650110266, -0.026364922735162756, 0.008009232841714314, -0.11531192029415803, 0.03986822841265662, 0.21132118907073824, 0.07122149222502203, 0.22887305544237746, -0.4179405194114555, -0.24810417678037827, 0.1154814599589868, 0.1347211287775832, 0.07420700404680136, 0.04469082752863566, -0.28963468796714686, -0.006584019230848009, -0.20952773583827144, -0.17129028211771088, -0.12205456659395361, 0.11233071463577675, 0.10500475107409964, -0.3083174045472829, 0.1461129570238744, 0.04508454108497861, -0.011500809616391603, -0.030652192632921717, -0.13513765053710702, -0.07387922080515912, 0.07767984693672395, 0.01782012992242182, -0.04813620306297459, 0.10268992179948272, -0.1187615966720676, -0.10966144634805845, 0.29926650388392084, -0.05019345377028609, -0.32755291104937595, 0.12304938268480879, -0.1564557418706968, -0.1225620074987863, 0.13105115759412223, 0.12471855630759489, 0.10109870573223541, -0.24146820462280602, 0.11910551096132788, 0.01619779168995041, 0.09505796711186343, 0.054915829110100414, 0.032551570096984506, 0.12484492655196598, 0.0709712276743217, 0.07841823876934183, 0.08889737357667675, -0.02352964018725536, -0.18398085640122494, -0.3456497901316845, -0.10320963312617758, -0.15598982027872946, 0.09076783480122685, -0.15776083669488522, -0.1887094268560318, 0.3307296972982868, 0.16806534973037549, 0.17819243289925385, 0.1083775577699822, 0.2065910547830616, 0.27823476857421076, 0.0420221398499879, 0.10182922492932642, 0.11699298417167456, 0.18546103914691645, 0.07911495068533854, -0.23169006963937797, 0.10158206530931321, 0.06628432631436171] |
712.0084 | From vectors to mnesors | The mnesor theory is the adaptation of vectors to artificial intelligence.
The scalar field is replaced by a lattice. Addition becomes idempotent and
multiplication is interpreted as a selection operation. We also show that
mnesors can be the foundation for a linear calculus.
| cs.LO cs.CC | the mnesor theory is the adaptation of vectors to artificial intelligence the scalar field is replaced by a lattice addition becomes idempotent and multiplication is interpreted as a selection operation we also show that mnesors can be the foundation for a linear calculus | [['the', 'mnesor', 'theory', 'is', 'the', 'adaptation', 'of', 'vectors', 'to', 'artificial', 'intelligence', 'the', 'scalar', 'field', 'is', 'replaced', 'by', 'a', 'lattice', 'addition', 'becomes', 'idempotent', 'and', 'multiplication', 'is', 'interpreted', 'as', 'a', 'selection', 'operation', 'we', 'also', 'show', 'that', 'mnesors', 'can', 'be', 'the', 'foundation', 'for', 'a', 'linear', 'calculus']] | [-0.14205278974936106, 0.15139919846470273, -0.10852340788602136, 0.08558327038934845, -0.12145504866575085, -0.1423129920839592, 0.01096302701625973, 0.3650302642653155, -0.33237936027174775, -0.20528122774043747, 0.1501793273085685, -0.20991615478327053, -0.21827394199059452, 0.16904991114685355, -0.09409628464125616, -0.009575968045134877, 0.011887849064890382, 0.0998008357750815, -0.03526022065929029, -0.2081008105170588, 0.2752964025428302, 0.05415972211766382, 0.25111071219624476, 0.01430762203973393, 0.09877630003164847, 0.029163805594624476, -0.0026894333544945303, 0.06579293379949969, -0.008810176866888448, 0.13764269565513662, 0.27625961211878197, 0.1602495977611736, 0.30238839888642, -0.3741113703567968, -0.191696242949124, 0.09062417840509307, 0.12591454419199116, 0.10967237317154921, -0.044541496220369674, -0.25015124470688577, 0.10036178627376292, -0.16297964031637516, -0.11819339490788014, -0.13091846707082072, 0.028940867451236172, -0.03212977550940068, -0.35317329507927564, -0.02400123330745521, 0.10027810034537038, 0.10065608348177615, -0.06886149678639202, -0.11206966611491732, -0.004613474314642507, 0.029046645723716465, -0.01657417701925476, 0.08370962331807891, 0.15487678160587715, -0.09857614259343854, -0.17216710202926552, 0.3925243461028088, -0.10116454941588779, -0.25545249385542645, 0.10731835704470097, -0.04104304897360677, -0.0794774170174415, 0.05931123610326024, 0.112860597106953, 0.0772987842711425, -0.11775762763220904, 0.1702554750968269, -0.07362527207493089, 0.16649008589948333, 0.07001750502562107, 0.003183316146998211, 0.2014171603503962, 0.18617586691885493, 0.08237149323834929, 0.13957036636109182, -0.03836368417453974, -0.09943352364610102, -0.32287505424992985, -0.1941479388854553, -0.17982309978715208, 0.07189161700824666, -0.06568665556619106, -0.1469012933978161, 0.34500968001436355, 0.10696810317160778, 0.16291741267669685, 0.05002721093681663, 0.259241514514352, 0.19135547301266342, 0.12015969605120115, 0.03711866023192226, 0.19387074044450772, 0.1758553946748116, 0.08398813546396965, -0.17733148965161555, 0.028621462011319952, 0.10238219414252875] |
712.0085 | On some global problems in the tetrad approach to quasi-local quantities | The potential global topological obstructions to the tetrad approach to
finding the quasi-local conserved quantities, associated with closed,
orientable spacelike 2-surfaces S, are investigated. First we show that the
Lorentz frame bundle is always globally trivializable over an open
neighbourhood U of any such S if an open neighbourhood of S is space and time
orientable, and hence a globally trivializable SL(2,C) spin frame bundle can
also be introduced over U. Then it is shown that all the spin frames belonging
to the same spinor structure on S have always the same homotopy class. On the
other hand, on a 2-surface with genus g, there are $2^{2g}$ homotopically
different Lorentz frame fields, and there is a natural one-to-one
correspondence between these homotopy classes and the different SL(2,C) spinor
structures.
| gr-qc | the potential global topological obstructions to the tetrad approach to finding the quasilocal conserved quantities associated with closed orientable spacelike 2surfaces s are investigated first we show that the lorentz frame bundle is always globally trivializable over an open neighbourhood u of any such s if an open neighbourhood of s is space and time orientable and hence a globally trivializable sl2c spin frame bundle can also be introduced over u then it is shown that all the spin frames belonging to the same spinor structure on s have always the same homotopy class on the other hand on a 2surface with genus g there are 22g homotopically different lorentz frame fields and there is a natural onetoone correspondence between these homotopy classes and the different sl2c spinor structures | [['the', 'potential', 'global', 'topological', 'obstructions', 'to', 'the', 'tetrad', 'approach', 'to', 'finding', 'the', 'quasilocal', 'conserved', 'quantities', 'associated', 'with', 'closed', 'orientable', 'spacelike', '2surfaces', 's', 'are', 'investigated', 'first', 'we', 'show', 'that', 'the', 'lorentz', 'frame', 'bundle', 'is', 'always', 'globally', 'trivializable', 'over', 'an', 'open', 'neighbourhood', 'u', 'of', 'any', 'such', 's', 'if', 'an', 'open', 'neighbourhood', 'of', 's', 'is', 'space', 'and', 'time', 'orientable', 'and', 'hence', 'a', 'globally', 'trivializable', 'sl2c', 'spin', 'frame', 'bundle', 'can', 'also', 'be', 'introduced', 'over', 'u', 'then', 'it', 'is', 'shown', 'that', 'all', 'the', 'spin', 'frames', 'belonging', 'to', 'the', 'same', 'spinor', 'structure', 'on', 's', 'have', 'always', 'the', 'same', 'homotopy', 'class', 'on', 'the', 'other', 'hand', 'on', 'a', '2surface', 'with', 'genus', 'g', 'there', 'are', '22g', 'homotopically', 'different', 'lorentz', 'frame', 'fields', 'and', 'there', 'is', 'a', 'natural', 'onetoone', 'correspondence', 'between', 'these', 'homotopy', 'classes', 'and', 'the', 'different', 'sl2c', 'spinor', 'structures']] | [-0.21943327193166484, 0.13962893635815177, -0.05118449553964631, 0.06773684624322625, -0.09877755980606573, -0.1593638998528495, -0.05135726592279682, 0.42400070863176686, -0.2927122719715847, -0.21995380212545626, 0.0311216594626073, -0.2468839888641423, -0.12572209034006782, 0.1693000875038001, -0.08411019029413429, -0.00801656025194729, 0.049433264440979605, 0.14594240941092834, -0.13123460593741648, -0.2729256943792336, 0.3891357404230408, -0.06892913581745684, 0.2425720769460895, 0.02297063767837808, 0.14314172947562712, -0.0549636481892924, 0.03395373374584687, 0.04771029372684217, -0.1246690342547742, 0.08535492289161613, 0.2759683145744394, 0.08920691642809168, 0.1745430711718175, -0.39068587762556334, -0.20040633604508037, 0.1904055587875173, 0.10990277017185161, 0.01574796312596909, 0.003538195152095584, -0.31377452590264554, 0.08817249977629082, -0.09907368161217418, -0.11692887199537237, -0.08920739311002945, 0.12816953630540376, -0.04662363101952067, -0.18110891831262657, -0.012907213952199216, 0.07647197487738792, 0.06184916913711516, -0.10173879415085611, -0.04992532671624145, -0.13294612506202372, 0.10531895086819003, 0.06699840234260457, 0.1591813691256409, 0.08074598541743187, -0.040025119149927485, -0.09095936393466338, 0.3699098261535283, -0.07180217971173368, -0.3083157397936596, 0.1647249713915494, -0.15553067362905199, -0.14621068702563067, 0.11225477492350132, 0.046460102703927676, 0.16274874690602453, -0.10912791468508094, 0.19393505203147787, -0.13059305390270876, 0.10231466329107855, 0.1211553844875952, 0.00672340873753392, 0.2190155725160888, 0.05401216163805347, 0.13638229458231854, 0.05024615846630258, -0.012948371772293377, -0.05495154857996476, -0.3986276502959257, -0.2176096833693658, -0.1265773521384311, 0.13934253218814788, -0.08445405247467823, -0.16882768044200394, 0.4002284566500015, 0.048634002577195794, 0.1721214180660629, 0.07619728833480283, 0.20942170497854853, 0.060285462687412895, 0.08241445231504103, 0.14782795076828825, 0.16628961026841818, 0.16177215900763062, -0.015710804259491173, -0.17090838333201963, -0.0562594824059065, 0.1829049204324567] |
712.0086 | Galaxy Formation | I review the current status of theoretical studies of galaxy formation. I
outline the importance of the physics of baryonic component in galaxy formation
by showing results obtained by using two major tools, semi-analytical
approaches and cosmological simulations. In particular, I emphasis on roles of
feedback in galaxy formation and discuss whether apparent conflictions between
the standard theory of structure formation, the cold dark matter model, and
observations can be solved by the feedback. I also discuss future prospects in
numerical simulations of galaxy formation.
| astro-ph | i review the current status of theoretical studies of galaxy formation i outline the importance of the physics of baryonic component in galaxy formation by showing results obtained by using two major tools semianalytical approaches and cosmological simulations in particular i emphasis on roles of feedback in galaxy formation and discuss whether apparent conflictions between the standard theory of structure formation the cold dark matter model and observations can be solved by the feedback i also discuss future prospects in numerical simulations of galaxy formation | [['i', 'review', 'the', 'current', 'status', 'of', 'theoretical', 'studies', 'of', 'galaxy', 'formation', 'i', 'outline', 'the', 'importance', 'of', 'the', 'physics', 'of', 'baryonic', 'component', 'in', 'galaxy', 'formation', 'by', 'showing', 'results', 'obtained', 'by', 'using', 'two', 'major', 'tools', 'semianalytical', 'approaches', 'and', 'cosmological', 'simulations', 'in', 'particular', 'i', 'emphasis', 'on', 'roles', 'of', 'feedback', 'in', 'galaxy', 'formation', 'and', 'discuss', 'whether', 'apparent', 'conflictions', 'between', 'the', 'standard', 'theory', 'of', 'structure', 'formation', 'the', 'cold', 'dark', 'matter', 'model', 'and', 'observations', 'can', 'be', 'solved', 'by', 'the', 'feedback', 'i', 'also', 'discuss', 'future', 'prospects', 'in', 'numerical', 'simulations', 'of', 'galaxy', 'formation']] | [-0.06135975617715823, 0.05776474177227577, -0.058261188212782145, 0.0901080743143601, -0.08013933166789468, -0.07274558411778084, -0.023239409347297624, 0.376887319365605, -0.1993408076731222, -0.3395313857666527, 0.08135443041655457, -0.2257893805924271, -0.11924370612195205, 0.19135592691323144, 0.03857358423106018, -0.028414683876603487, 0.06715260673358682, -0.08371226113688733, -0.04295155842278507, -0.2922163678394143, 0.3550881060184024, 0.11182806684657753, 0.19931430223264865, 0.06035041943236831, 0.010600554623774119, -0.06147228732394675, -0.18125212429800913, 0.003374802040135754, -0.2591214798625775, 0.0524136514979459, 0.23159781604772434, 0.19859180784052505, 0.27471967805953074, -0.49319818021640893, -0.230403387460683, 0.023362774379728807, 0.188244433233714, 0.11181016940446127, -0.18248690037927146, -0.26548036921858076, 0.0317429538193946, -0.20375956522877373, -0.14992805144062177, 0.03124675427984801, -0.0013605901982546562, 0.05291944468267286, -0.17760510623269338, 0.13832476966767682, 0.015462838268528381, 0.016562236251220816, -0.08982574015889051, -0.09911989894074698, -0.019405960648631055, 0.060953032571844576, 0.02305491202527524, -0.003229894730750294, 0.18158953716989518, -0.23848343573488473, -0.16593995685910895, 0.42615293090542156, -0.05837646840761105, -0.07552538353151508, 0.20439109468965658, -0.18500835543298827, -0.1919539455169191, -0.01186731732672169, 0.1545608559335094, 0.03243368447181724, -0.12286559631008588, 0.06983762121152333, 0.010560028504447214, 0.1209986066623103, -0.02445848352674927, 0.006382645746011154, 0.3631802161578976, 0.21775554714535938, -0.03076757212346863, 0.03914532834979972, -0.09501010297043692, -0.11886558972210401, -0.3190102921798825, -0.09006490798977514, -0.1256395688875013, 0.03322480643899845, -0.0969515506649692, -0.03902955517350208, 0.3810465741414754, 0.17127977346535772, 0.19335412806720428, -0.019235253960470714, 0.32108297673541875, 0.02339852218782263, -0.0147090737840959, 0.04091247184468167, 0.3028811765502074, 0.17969685281527095, 0.03042152871300156, -0.31806053687995745, 0.05787004995259589, 0.027447180905645446] |
712.0087 | Scalar, vectorial and tensorial damage parameters from the mesoscopic
background | In the mesoscopic theory a distribution of different crack sizes and crack
orientations is introduced. A scalar damage parameter, a second order damage
tensor and a vectorial damage parameter are defined in terms of this
distribution function. As an example of a constitutive quantity the free energy
density is given as a function of the damage tensor. This equation is reduced
in the uniaxial case to a function of the damage vector and in case of a
special geometry to a function of the scalar damage parameter.
| cond-mat.other cond-mat.mtrl-sci | in the mesoscopic theory a distribution of different crack sizes and crack orientations is introduced a scalar damage parameter a second order damage tensor and a vectorial damage parameter are defined in terms of this distribution function as an example of a constitutive quantity the free energy density is given as a function of the damage tensor this equation is reduced in the uniaxial case to a function of the damage vector and in case of a special geometry to a function of the scalar damage parameter | [['in', 'the', 'mesoscopic', 'theory', 'a', 'distribution', 'of', 'different', 'crack', 'sizes', 'and', 'crack', 'orientations', 'is', 'introduced', 'a', 'scalar', 'damage', 'parameter', 'a', 'second', 'order', 'damage', 'tensor', 'and', 'a', 'vectorial', 'damage', 'parameter', 'are', 'defined', 'in', 'terms', 'of', 'this', 'distribution', 'function', 'as', 'an', 'example', 'of', 'a', 'constitutive', 'quantity', 'the', 'free', 'energy', 'density', 'is', 'given', 'as', 'a', 'function', 'of', 'the', 'damage', 'tensor', 'this', 'equation', 'is', 'reduced', 'in', 'the', 'uniaxial', 'case', 'to', 'a', 'function', 'of', 'the', 'damage', 'vector', 'and', 'in', 'case', 'of', 'a', 'special', 'geometry', 'to', 'a', 'function', 'of', 'the', 'scalar', 'damage', 'parameter']] | [-0.13730917836207596, 0.1610964458268845, -0.07913331582542808, 0.03253643411270546, -0.07150061134163332, -0.0433799974117214, -0.03489497681442734, 0.3045276888250106, -0.28396229419172153, -0.2603033212195525, 0.04610010750870081, -0.25952720419696435, -0.18304296289088912, 0.10838632593894827, -0.03471279005391587, 0.10488095697572176, -0.03494866052107222, 0.06871854696401405, -0.06465604771249767, -0.19166933533189626, 0.3249695588427799, 0.07258671381906874, 0.2876868498158352, 0.07426766458170853, 0.10064550103812382, 0.03821686512105509, 0.04870545187023008, 0.06752227003761065, -0.14979361786624823, 0.08899209055321655, 0.2279819886510571, 0.07921914156826063, 0.3045621081201852, -0.394881338202234, -0.2772702921246146, 0.11751026205247504, 0.03790825244103526, 0.1077970602581727, 0.009688058894812718, -0.20424261430663795, 0.06051767115406264, -0.1969436932483624, -0.18283489181649412, 0.0227373826702864, 0.032409902158910514, 0.04385185253474562, -0.31273399464700413, 0.12597671915487996, 0.019659383329509318, 0.05454083958148271, -0.09213920371157341, -0.0600717451116311, -0.05548758648507211, 0.0682083437829439, 0.07286251398691929, 0.05956315623874637, 0.17963913243649335, -0.20501691601827912, -0.044734010454160214, 0.39454406940902786, -0.043708035375805164, -0.29791194172683116, 0.07950302028370186, -0.10749288818574157, -0.0530229179648918, 0.13383580849843163, 0.194007176038777, 0.1426379240878012, -0.15056883272896895, 0.08712762583317449, 0.012243272863788766, 0.15973370643760795, 0.08637923615096116, -0.03965644635816758, 0.12709607324166888, 0.18432114931658425, 0.05975583416741641, 0.22442605322890583, -0.05572947894019642, -0.05780859585134206, -0.38093718749353256, -0.21288596165377174, -0.23093718562232352, 0.06476841202198431, -0.15475383696856176, -0.26291959678176147, 0.4399626002400771, 0.07253276106055784, 0.21738939413977465, 0.01304089136678597, 0.26584241564128674, 0.15061130956746638, 0.06791802414896331, -0.016572875602320694, 0.20858932025570037, 0.1684431461135632, 0.061300044301255, -0.18051834105568854, 0.09724982516390496, 0.03682564252762702] |
712.0088 | Elliptic Flow in Central Collisions of Deformed Nuclei | Non-trivial geometrical effects in relativistic central collisions of
deformed nuclei are studied using a simple version of optical Glauber model.
For very small impact parameters large centrality and eccentricity fluctuations
are observed. In very high multiplicity collisions of oblate nuclei (e.g. Au
and Cu) significant fraction of events with elliptic flow strength v_2
dependent on oblateness beta_2 is predicted.
| nucl-th | nontrivial geometrical effects in relativistic central collisions of deformed nuclei are studied using a simple version of optical glauber model for very small impact parameters large centrality and eccentricity fluctuations are observed in very high multiplicity collisions of oblate nuclei eg au and cu significant fraction of events with elliptic flow strength v_2 dependent on oblateness beta_2 is predicted | [['nontrivial', 'geometrical', 'effects', 'in', 'relativistic', 'central', 'collisions', 'of', 'deformed', 'nuclei', 'are', 'studied', 'using', 'a', 'simple', 'version', 'of', 'optical', 'glauber', 'model', 'for', 'very', 'small', 'impact', 'parameters', 'large', 'centrality', 'and', 'eccentricity', 'fluctuations', 'are', 'observed', 'in', 'very', 'high', 'multiplicity', 'collisions', 'of', 'oblate', 'nuclei', 'eg', 'au', 'and', 'cu', 'significant', 'fraction', 'of', 'events', 'with', 'elliptic', 'flow', 'strength', 'v_2', 'dependent', 'on', 'oblateness', 'beta_2', 'is', 'predicted']] | [-0.1475837827360226, 0.23511561789249968, -0.11709917245148602, 0.14942513823990664, -0.010826541505501433, -0.13633764812217677, -0.10287389728256453, 0.3744336582593999, -0.18206406122673366, -0.33275246998626673, -0.05895804517934004, -0.34085257332456315, 0.01991344060180551, 0.1610666469363022, -0.026482042406638293, 0.07194045751939639, 0.1234638962136992, -0.011189832794085398, -0.05151213401478668, -0.14894206178400116, 0.268733140665217, 0.13803476133083892, 0.16887840996417453, 0.10576573006366774, 0.04094384891628209, 0.06341119868270421, 0.025984900683890713, 0.09712409461706371, -0.1555036481517225, 0.04619210171690842, 0.2314103056668793, -0.06245197460718327, 0.1656912403907311, -0.37535924991687475, -0.15941320457574676, 0.10128160128843482, 0.15496484754617934, 0.09436835931077348, -0.10960317527188651, -0.21461837424233682, 0.04670420907816644, -0.2795090893346627, -0.17787960537914502, -0.06516800790441112, 0.1403392340151309, 0.11929404430912208, -0.27808952777078216, 0.18442042450365312, 0.015470971534881046, 0.1612157040607121, -0.04648129041780228, -0.18613254836113272, -0.12324960311969459, -0.0009599763010154968, 0.11366575890244379, 0.02184690680291693, 0.23172054875452638, -0.10835214161661343, -0.04640155179836487, 0.42069456675800226, 0.01451316419041763, -0.14204504887052513, 0.14954587144967588, -0.2408481820849544, -0.15479511867072118, 0.18548275034685255, 0.3086447425312915, 0.14329076763163556, -0.08798474577744886, 0.019571493993418575, -0.0023855461375945704, 0.18881437930641537, 0.07006699553990768, 0.04661177714371075, 0.2130348664882072, 0.17059410563906877, -0.051290235276949606, 0.0585380922845107, -0.14751238508102626, -0.10540071162947659, -0.2678075327174896, 0.019787015081620066, -0.16255483979564475, 0.04921884847394491, -0.19552798153214962, -0.11666599957872245, 0.315334017435878, 0.04115368443998998, 0.2878680633562538, -0.05422900225256838, 0.24511886410951866, 0.0765715310945949, 0.03792978741102299, 0.07672227023295679, 0.341933247096584, 0.1886642143067162, 0.1051758243366918, -0.2527292582711552, 0.09321002884579514, 0.05820363212250552] |
712.0089 | Dynamical Coupled-Channels Model Analysis of \pi-N Scattering and
Electromagnetic Pion Production Reactions | The ability of the coupled-channels model (MSL) developed in recently in Ref.
\cite{msl} to account simultaneously for the $\pi N$ scattering data and the
$\pi$ photoproduction reactions on the nucleon is presented. An accurate
description of $\pi N$ scattering has been obtained. A preliminary description
of $\pi$ photoproduction is also discussed.
| nucl-th | the ability of the coupledchannels model msl developed in recently in ref citemsl to account simultaneously for the pi n scattering data and the pi photoproduction reactions on the nucleon is presented an accurate description of pi n scattering has been obtained a preliminary description of pi photoproduction is also discussed | [['the', 'ability', 'of', 'the', 'coupledchannels', 'model', 'msl', 'developed', 'in', 'recently', 'in', 'ref', 'citemsl', 'to', 'account', 'simultaneously', 'for', 'the', 'pi', 'n', 'scattering', 'data', 'and', 'the', 'pi', 'photoproduction', 'reactions', 'on', 'the', 'nucleon', 'is', 'presented', 'an', 'accurate', 'description', 'of', 'pi', 'n', 'scattering', 'has', 'been', 'obtained', 'a', 'preliminary', 'description', 'of', 'pi', 'photoproduction', 'is', 'also', 'discussed']] | [-0.07014795131981373, 0.1656803975373623, -0.16634704187512397, 0.07021406056825072, -0.03542231790721417, -0.08721325590275228, 0.011306620510295034, 0.31273884505033495, -0.17570197531953455, -0.21248593106865882, -0.10334603930357844, -0.37090684471651914, -0.10304796320386231, 0.13818699717056007, 0.06722483890131116, 0.14966594845056533, 0.050210911482572555, 0.09902907077223062, 0.03419009326025844, -0.1869523858651519, 0.2684587940387428, 0.08032684488222003, 0.23644217394292355, 0.13738401848822832, 0.03979639474535361, 0.12253012063913048, -0.04498419157695025, -0.09718386001884938, -0.12441170424222946, 0.09878621244803071, 0.316404577344656, 0.07132129431236535, 0.08869350999593735, -0.41663218177855016, -0.18804697593674063, 0.06739596132189035, 0.1795004065707326, 0.11068197004497052, -0.04993351883487776, -0.3579289199411869, 0.09701111597940326, -0.19071798726916314, -0.13373717226088047, -0.1502999915368855, 0.14325193935073913, -0.07033482290804387, -0.3025973413698375, -0.0572450915776426, 0.002651213747449219, 0.07156459223479032, -0.07134501783177256, -0.25839850245043633, 0.03936246491968632, 0.07678224199451505, 0.030991882148664444, 0.09040564448572695, 0.06772763018030674, -0.08261269425041974, -0.11427192492759787, 0.3926084574684501, 0.013385840822011233, -0.2079946567118168, 0.08618566723540426, -0.1499375186674297, -0.15050071192905307, 0.20320883383974434, 0.18780902100726962, 0.0807529854401946, -0.21448000229895114, 0.1499045575398486, -0.090515575716272, 0.18454174391925335, 0.07252147214487195, -0.03666057489812374, 0.04654081096872687, 0.26815116543322803, -0.09879754058551043, 0.026231554946862162, -0.11926922807004303, -0.08256078848615289, -0.3599018141394481, -0.10685640913638053, -0.12027079885825515, 0.06727061053737998, 0.02592941667913692, -0.016036893129348754, 0.34166747171431777, 0.0434990450181067, 0.2642066279053688, -0.020355941466987132, 0.34000294517725704, 0.13616900069639087, 0.009034320302307606, 0.040874251034110784, 0.25315470119938255, 0.22634267751127482, 0.0971804836858064, -0.28077473664656283, 0.04336891212500632, 0.020595330107025803] |
712.009 | The Geometry of Dyonic Instantons in 5-dimensional Supergravity | We systematically construct and study smooth supersymmetric solutions in 5
dimensional N=1 Yang-Mills-Einstein supergravity. Our solution is based on the
ADHM construction of (dyonic) multi-instantons in Yang-Mills theory, which
extends to the gravity-coupled system. In a simple supergravity model obtained
from N=2 theory, our solutions are regular ring-like configurations, which can
also be interpreted as supertubes. By studying the SU(2) 2-instanton example in
detail, we find that angular momentum is maximized, with fixed electric charge,
for circular rings. This feature is qualitatively same as that of supertubes.
Related to the existence of this upper bound of angular momentum, we also check
the absence of closed timelike curves for the circular rings. Finally, in
supergravity and gauge theory models with non-Abelian Chern-Simons terms, we
point out that the solution in the symmetric phase carries electric charge
which does not contribute to the energy. A possible explanation from the
dynamics on the instanton moduli space is briefly discussed.
| hep-th | we systematically construct and study smooth supersymmetric solutions in 5 dimensional n1 yangmillseinstein supergravity our solution is based on the adhm construction of dyonic multiinstantons in yangmills theory which extends to the gravitycoupled system in a simple supergravity model obtained from n2 theory our solutions are regular ringlike configurations which can also be interpreted as supertubes by studying the su2 2instanton example in detail we find that angular momentum is maximized with fixed electric charge for circular rings this feature is qualitatively same as that of supertubes related to the existence of this upper bound of angular momentum we also check the absence of closed timelike curves for the circular rings finally in supergravity and gauge theory models with nonabelian chernsimons terms we point out that the solution in the symmetric phase carries electric charge which does not contribute to the energy a possible explanation from the dynamics on the instanton moduli space is briefly discussed | [['we', 'systematically', 'construct', 'and', 'study', 'smooth', 'supersymmetric', 'solutions', 'in', '5', 'dimensional', 'n1', 'yangmillseinstein', 'supergravity', 'our', 'solution', 'is', 'based', 'on', 'the', 'adhm', 'construction', 'of', 'dyonic', 'multiinstantons', 'in', 'yangmills', 'theory', 'which', 'extends', 'to', 'the', 'gravitycoupled', 'system', 'in', 'a', 'simple', 'supergravity', 'model', 'obtained', 'from', 'n2', 'theory', 'our', 'solutions', 'are', 'regular', 'ringlike', 'configurations', 'which', 'can', 'also', 'be', 'interpreted', 'as', 'supertubes', 'by', 'studying', 'the', 'su2', '2instanton', 'example', 'in', 'detail', 'we', 'find', 'that', 'angular', 'momentum', 'is', 'maximized', 'with', 'fixed', 'electric', 'charge', 'for', 'circular', 'rings', 'this', 'feature', 'is', 'qualitatively', 'same', 'as', 'that', 'of', 'supertubes', 'related', 'to', 'the', 'existence', 'of', 'this', 'upper', 'bound', 'of', 'angular', 'momentum', 'we', 'also', 'check', 'the', 'absence', 'of', 'closed', 'timelike', 'curves', 'for', 'the', 'circular', 'rings', 'finally', 'in', 'supergravity', 'and', 'gauge', 'theory', 'models', 'with', 'nonabelian', 'chernsimons', 'terms', 'we', 'point', 'out', 'that', 'the', 'solution', 'in', 'the', 'symmetric', 'phase', 'carries', 'electric', 'charge', 'which', 'does', 'not', 'contribute', 'to', 'the', 'energy', 'a', 'possible', 'explanation', 'from', 'the', 'dynamics', 'on', 'the', 'instanton', 'moduli', 'space', 'is', 'briefly', 'discussed']] | [-0.14939903987583536, 0.13205385414990956, -0.08551381229727457, 0.09850951940424214, -0.059413880708281144, -0.1266300175100183, -0.011210771640971636, 0.3203925845744566, -0.17232615742660784, -0.25026793792867696, 0.08178648119792342, -0.25923798833854306, -0.18564045385051614, 0.14350843879555425, -0.06399173257747091, -0.00031971454453200864, -0.011601590620091137, 0.059987927466117516, -0.10032774895043052, -0.2451965193180606, 0.3331996299033889, 0.010532918953312894, 0.2514998808574791, 0.058661966456267506, 0.08863015457068403, -0.009195603037742564, 0.012473203062724609, 0.03927924091168769, -0.15324238110373792, 0.09383306840960032, 0.254921924341803, 0.07098011192507468, 0.08716196769203705, -0.4270888324110554, -0.19647890658439465, 0.10764183427314632, 0.1807157665801545, 0.15424481044502522, -0.043874792741217576, -0.2523549903446856, 0.07973976739464352, -0.17387439204284397, -0.21274789938933025, -0.11770972085949512, 0.03601263978411085, -0.02402224741094053, -0.23497808368679565, 0.06520183835415921, 0.050042805748466306, 0.01069368128138684, -0.12068734087500697, -0.07717677257068527, -0.11093928767308497, 0.028108504585897885, 0.11127813042138512, 0.06073939775039131, 0.10394404342589088, -0.14423732986758225, -0.14682208970099545, 0.33529430765133256, -0.08077120204278543, -0.2498937162670653, 0.12475794933337826, -0.16899701551450655, -0.1370235832903582, 0.12530963108367407, 0.11056473733594593, 0.18887266010530696, -0.10812674958605129, 0.19012574160707374, -0.09728243858374369, 0.12669595670964695, 0.10693541370654622, 0.044392647641078115, 0.2804594624321908, 0.1137857154916184, 0.05382144198199221, 0.16006081590118507, -0.03760608196712266, -0.14524534097253286, -0.4008511459478774, -0.13145942046237627, -0.12274785988176098, 0.11434817949217783, -0.11255077301440253, -0.15764855074648482, 0.38690990335248315, 0.12099552069207092, 0.1830068213509945, 0.03118854296880249, 0.23230633722283903, 0.10099173429234025, 0.06018682855826158, 0.06639954575803131, 0.25365906856463066, 0.13232175667191115, 0.06979805423030391, -0.23934366394174644, -0.11489021811240281, 0.1614576517858017] |
712.0091 | The hyperbolic mean curvature flow | We introduce a geometric evolution equation of hyperbolic type, which governs
the evolution of a hypersurface moving in the direction of its mean curvature
vector. The flow stems from a geometrically natural action containing kinetic
and internal energy terms. As the mean curvature of the hypersurface is the
main driving factor, we refer to this model as the hyperbolic mean curvature
flow (HMCF). The case that the initial velocity field is normal to the
hypersurface is of particular interest: this property is preserved during the
evolution and gives rise to a comparatively simpler evolution equation. We also
consider the case where the manifold can be viewed as a graph over a fixed
manifold. Our main results are as follows. First, we derive several balance
laws satisfied by the hypersurface during the evolution. Second, we establish
that the initial-value problem is locally well-posed in Sobolev spaces; this is
achieved by exhibiting a convexity property satisfied by the energy density
which is naturally associated with the flow. Third, we provide some criteria
ensuring that the flow will blow-up in finite time. Fourth, in the case of
graphs, we introduce a concept of weak solutions suitably restricted by an
entropy inequality, and we prove that a classical solution is unique in the
larger class of entropy solutions. In the special case of one-dimensional
graphs, a global-in-time existence result is established.
| math.DG math.AP | we introduce a geometric evolution equation of hyperbolic type which governs the evolution of a hypersurface moving in the direction of its mean curvature vector the flow stems from a geometrically natural action containing kinetic and internal energy terms as the mean curvature of the hypersurface is the main driving factor we refer to this model as the hyperbolic mean curvature flow hmcf the case that the initial velocity field is normal to the hypersurface is of particular interest this property is preserved during the evolution and gives rise to a comparatively simpler evolution equation we also consider the case where the manifold can be viewed as a graph over a fixed manifold our main results are as follows first we derive several balance laws satisfied by the hypersurface during the evolution second we establish that the initialvalue problem is locally wellposed in sobolev spaces this is achieved by exhibiting a convexity property satisfied by the energy density which is naturally associated with the flow third we provide some criteria ensuring that the flow will blowup in finite time fourth in the case of graphs we introduce a concept of weak solutions suitably restricted by an entropy inequality and we prove that a classical solution is unique in the larger class of entropy solutions in the special case of onedimensional graphs a globalintime existence result is established | [['we', 'introduce', 'a', 'geometric', 'evolution', 'equation', 'of', 'hyperbolic', 'type', 'which', 'governs', 'the', 'evolution', 'of', 'a', 'hypersurface', 'moving', 'in', 'the', 'direction', 'of', 'its', 'mean', 'curvature', 'vector', 'the', 'flow', 'stems', 'from', 'a', 'geometrically', 'natural', 'action', 'containing', 'kinetic', 'and', 'internal', 'energy', 'terms', 'as', 'the', 'mean', 'curvature', 'of', 'the', 'hypersurface', 'is', 'the', 'main', 'driving', 'factor', 'we', 'refer', 'to', 'this', 'model', 'as', 'the', 'hyperbolic', 'mean', 'curvature', 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712.0092 | Antiferromagnetic spherical spin-glass model | We study the thermodynamic properties and the phase diagrams of a multi-spin
antiferromagnetic spherical spin-glass model using the replica method. It is a
two-sublattice version of the ferromagnetic spherical p-spin glass model. We
consider both the replica-symmetric and the one-step replica-symmetry-breaking
solutions, the latter being the most general solution for this model. We find
paramagnetic, spin-glass, antiferromagnetic and mixed or glassy
antiferromagnetic phases. The phase transitions are always of second order in
the thermodynamic sense, but the spin-glass order parameter may undergo a
discontinuous change.
| cond-mat.dis-nn cond-mat.stat-mech | we study the thermodynamic properties and the phase diagrams of a multispin antiferromagnetic spherical spinglass model using the replica method it is a twosublattice version of the ferromagnetic spherical pspin glass model we consider both the replicasymmetric and the onestep replicasymmetrybreaking solutions the latter being the most general solution for this model we find paramagnetic spinglass antiferromagnetic and mixed or glassy antiferromagnetic phases the phase transitions are always of second order in the thermodynamic sense but the spinglass order parameter may undergo a discontinuous change | [['we', 'study', 'the', 'thermodynamic', 'properties', 'and', 'the', 'phase', 'diagrams', 'of', 'a', 'multispin', 'antiferromagnetic', 'spherical', 'spinglass', 'model', 'using', 'the', 'replica', 'method', 'it', 'is', 'a', 'twosublattice', 'version', 'of', 'the', 'ferromagnetic', 'spherical', 'pspin', 'glass', 'model', 'we', 'consider', 'both', 'the', 'replicasymmetric', 'and', 'the', 'onestep', 'replicasymmetrybreaking', 'solutions', 'the', 'latter', 'being', 'the', 'most', 'general', 'solution', 'for', 'this', 'model', 'we', 'find', 'paramagnetic', 'spinglass', 'antiferromagnetic', 'and', 'mixed', 'or', 'glassy', 'antiferromagnetic', 'phases', 'the', 'phase', 'transitions', 'are', 'always', 'of', 'second', 'order', 'in', 'the', 'thermodynamic', 'sense', 'but', 'the', 'spinglass', 'order', 'parameter', 'may', 'undergo', 'a', 'discontinuous', 'change']] | [-0.1372576448272037, 0.21741637492223698, -0.08752600563799634, 0.07452190049430903, -0.039489010283175634, -0.15062222415581344, 0.06385669115492526, 0.36047044049071914, -0.2166570872629938, -0.22046191517044517, 0.11120742458494051, -0.3077796809594421, -0.15763157285366428, 0.018267305140547894, 0.09367258750203558, 0.01947399604216437, -0.0666893921463805, 0.01841062313383993, -0.17203556935795966, -0.19436155373833197, 0.2617758225978297, -0.09355039193349726, 0.2848434887059471, 0.006088510489858249, 0.02789064130252775, 0.0016407787361565759, 0.19851862747591975, 0.03579236215857022, -0.19925728480824653, -0.00441291203503223, 0.23644938565078466, -0.05309398574206759, 0.1718311546041685, -0.38810028879738906, -0.22583691859069993, 0.16812066567842573, 0.10528716721626766, 0.20385774461662068, -0.004032374150119722, -0.3092466230778133, 0.024685012694338666, -0.2143849255517125, -0.15813618922701983, -0.1643319473875796, -0.10679199634229436, -0.008129876033019493, -0.2804954333230853, 0.16379237061037738, 0.15352247002918054, 0.08632594178540304, -0.09994682443382985, -0.08336668059585944, -0.046649274317657245, 0.04252472603419686, 0.037773262586115915, 0.04810619070194662, 0.08653053375618423, -0.09647275991463924, -0.11524855242631234, 0.39238395024748407, 0.009265303357011255, -0.10133562847314512, 0.17737512939116534, -0.1698388415746569, -0.15195497138535274, 0.16544634738717887, 0.06479130825027823, 0.12657868040396886, -0.14252736834699617, 0.11125984699533814, 0.03812144177363199, 0.21717630804050714, -0.04439334062968983, -0.023793372831663447, 0.20654608344330508, 0.21204813415294185, 0.027122649331303202, 0.2539290926473982, -0.09445863717838246, -0.25799044258892534, -0.2518158161903129, -0.17673947828657488, -0.24491420700214803, -0.017685242205419963, -0.20040441997955308, -0.2472316545598647, 0.38855154076043297, 0.16001165635363362, 0.11037474812987699, 0.016259056379032487, 0.2216165395344005, 0.101872290659915, -0.03262871779939708, 0.04707491539747399, 0.2507107592352173, 0.1577155651004218, 0.15777052124852645, -0.25835520962342234, 0.08526104576611782, 0.12579214466078317] |
712.0093 | Symplectic Jacobi diagrams and the Lie algebra of homology cylinders | Let S be a compact connected oriented surface, whose boundary is connected or
empty. A homology cylinder over the surface S is a cobordism between S and
itself, homologically equivalent to the cylinder over S. The Y-filtration on
the monoid of homology cylinders over S is defined by clasper surgery. Using a
functorial extension of the Le-Murakami-Ohtsuki invariant, we show that the
graded Lie algebra associated to the Y-filtration is isomorphic to the Lie
algebra of ``symplectic Jacobi diagrams.'' This Lie algebra consists of the
primitive elements of a certain Hopf algebra whose multiplication is a
diagrammatic analogue of the Moyal-Weyl product.
The mapping cylinder construction embeds the Torelli group into the monoid of
homology cylinders, sending the lower central series to the Y-filtration. We
give a combinatorial description of the graded Lie algebra map induced by this
embedding, by connecting Hain's infinitesimal presentation of the Torelli group
to the Lie algebra of symplectic Jacobi diagrams. This Lie algebra map is shown
to be injective in degree two, and the question of the injectivity in higher
degrees is discussed.
| math.GT math.QA | let s be a compact connected oriented surface whose boundary is connected or empty a homology cylinder over the surface s is a cobordism between s and itself homologically equivalent to the cylinder over s the yfiltration on the monoid of homology cylinders over s is defined by clasper surgery using a functorial extension of the lemurakamiohtsuki invariant we show that the graded lie algebra associated to the yfiltration is isomorphic to the lie algebra of symplectic jacobi diagrams this lie algebra consists of the primitive elements of a certain hopf algebra whose multiplication is a diagrammatic analogue of the moyalweyl product the mapping cylinder construction embeds the torelli group into the monoid of homology cylinders sending the lower central series to the yfiltration we give a combinatorial description of the graded lie algebra map induced by this embedding by connecting hains infinitesimal presentation of the torelli group to the lie algebra of symplectic jacobi diagrams this lie algebra map is shown to be injective in degree two and the question of the injectivity in higher degrees is discussed | [['let', 's', 'be', 'a', 'compact', 'connected', 'oriented', 'surface', 'whose', 'boundary', 'is', 'connected', 'or', 'empty', 'a', 'homology', 'cylinder', 'over', 'the', 'surface', 's', 'is', 'a', 'cobordism', 'between', 's', 'and', 'itself', 'homologically', 'equivalent', 'to', 'the', 'cylinder', 'over', 's', 'the', 'yfiltration', 'on', 'the', 'monoid', 'of', 'homology', 'cylinders', 'over', 's', 'is', 'defined', 'by', 'clasper', 'surgery', 'using', 'a', 'functorial', 'extension', 'of', 'the', 'lemurakamiohtsuki', 'invariant', 'we', 'show', 'that', 'the', 'graded', 'lie', 'algebra', 'associated', 'to', 'the', 'yfiltration', 'is', 'isomorphic', 'to', 'the', 'lie', 'algebra', 'of', 'symplectic', 'jacobi', 'diagrams', 'this', 'lie', 'algebra', 'consists', 'of', 'the', 'primitive', 'elements', 'of', 'a', 'certain', 'hopf', 'algebra', 'whose', 'multiplication', 'is', 'a', 'diagrammatic', 'analogue', 'of', 'the', 'moyalweyl', 'product', 'the', 'mapping', 'cylinder', 'construction', 'embeds', 'the', 'torelli', 'group', 'into', 'the', 'monoid', 'of', 'homology', 'cylinders', 'sending', 'the', 'lower', 'central', 'series', 'to', 'the', 'yfiltration', 'we', 'give', 'a', 'combinatorial', 'description', 'of', 'the', 'graded', 'lie', 'algebra', 'map', 'induced', 'by', 'this', 'embedding', 'by', 'connecting', 'hains', 'infinitesimal', 'presentation', 'of', 'the', 'torelli', 'group', 'to', 'the', 'lie', 'algebra', 'of', 'symplectic', 'jacobi', 'diagrams', 'this', 'lie', 'algebra', 'map', 'is', 'shown', 'to', 'be', 'injective', 'in', 'degree', 'two', 'and', 'the', 'question', 'of', 'the', 'injectivity', 'in', 'higher', 'degrees', 'is', 'discussed']] | [-0.24532786926352834, 0.07934928045727771, -0.10005910572590691, 0.03459326029714852, -0.1458998730603876, -0.12423345275150414, -0.035182578796156626, 0.3435987545926561, -0.39766001160511505, -0.1830751139322015, 0.12454273249542955, -0.23016611009134777, -0.13711271236921196, 0.175542777072503, -0.17398567965342637, -0.09319440706232407, 0.046131092591950015, 0.15313208597847494, -0.14135857712581992, -0.22802030756697578, 0.4136461923367151, -0.027188678056147345, 0.18629067376068684, 0.02065181874217434, 0.12244440859194075, 0.015657771217465068, -0.033350659196145375, -0.013052108147384485, -0.15428358982025298, 0.14620284511780565, 0.30839379296856595, 0.019427021356642912, 0.13013843804800768, -0.3591916823770081, -0.09030995109812298, 0.15960473882024015, 0.1487812350332404, -0.0639818333227229, 0.012348149704757307, -0.29302901588640484, 0.1007928204951631, -0.21599949886393147, -0.12559958127738294, -0.007602762675443508, 0.10149272353493728, -0.03396734267514844, -0.17703574537637765, -0.0397448619055645, 0.10573419667624312, 0.15582052953853454, -0.047884810613156116, -0.04430028379442139, -0.12489288096321362, 0.08756410866044462, -0.06969671909353961, 0.09340566097285245, 0.16102647618520693, -0.0431859185151735, -0.11525067818050622, 0.3707598346811017, -0.036023488755379515, -0.234748450914325, 0.08980912095593944, -0.18180037822896958, -0.15482497318028654, 0.18075090104599573, 0.017146209650282754, 0.1290675054508191, -0.02055548945852873, 0.2273785581223032, -0.15834132784798055, 0.034937924674878613, 0.10012271574193705, -0.07137542123927126, 0.1667758188647473, 0.12635985642994166, 0.0906350644066014, 0.1530116884539934, 0.05567644944631718, -0.02623246182354594, -0.35866175781852205, -0.22497432883038684, -0.10967361918577727, 0.17045704806067424, -0.12441588286456766, -0.1977889176135214, 0.4175754085641, 0.05094738337393413, 0.17474366183485054, 0.1091747399232241, 0.22394263993053795, 0.06479424442029325, 0.14968709969195906, 0.05951609132634528, 0.07684691995772527, 0.3106314278449655, -0.072405362361912, -0.13319231001868345, -0.06523718789360335, 0.2919483414562367] |
712.0094 | Zero diffusion-dispersion limits for scalar conservation laws | We consider solutions of hyperbolic conservation laws regularized with
vanishing diffusion and dispersion terms. Following a pioneering work by
Schonbek, we establish the convergence of the regularized solutions toward
discontinuous solutions of the hyperbolic conservation law. The proof relies on
the method of compensated compactness in the $L^2$ setting. Our result improves
upon Schonbek's earlier results and provides an optimal condition on the
balance between the relative sizes of the diffusion and the dispersion
parameters. A convergence result is also established for multi-dimensional
conservation laws by relying on DiPerna's uniqueness theorem for entropy
measure-valued solutions.
| math.AP | we consider solutions of hyperbolic conservation laws regularized with vanishing diffusion and dispersion terms following a pioneering work by schonbek we establish the convergence of the regularized solutions toward discontinuous solutions of the hyperbolic conservation law the proof relies on the method of compensated compactness in the l2 setting our result improves upon schonbeks earlier results and provides an optimal condition on the balance between the relative sizes of the diffusion and the dispersion parameters a convergence result is also established for multidimensional conservation laws by relying on dipernas uniqueness theorem for entropy measurevalued solutions | [['we', 'consider', 'solutions', 'of', 'hyperbolic', 'conservation', 'laws', 'regularized', 'with', 'vanishing', 'diffusion', 'and', 'dispersion', 'terms', 'following', 'a', 'pioneering', 'work', 'by', 'schonbek', 'we', 'establish', 'the', 'convergence', 'of', 'the', 'regularized', 'solutions', 'toward', 'discontinuous', 'solutions', 'of', 'the', 'hyperbolic', 'conservation', 'law', 'the', 'proof', 'relies', 'on', 'the', 'method', 'of', 'compensated', 'compactness', 'in', 'the', 'l2', 'setting', 'our', 'result', 'improves', 'upon', 'schonbeks', 'earlier', 'results', 'and', 'provides', 'an', 'optimal', 'condition', 'on', 'the', 'balance', 'between', 'the', 'relative', 'sizes', 'of', 'the', 'diffusion', 'and', 'the', 'dispersion', 'parameters', 'a', 'convergence', 'result', 'is', 'also', 'established', 'for', 'multidimensional', 'conservation', 'laws', 'by', 'relying', 'on', 'dipernas', 'uniqueness', 'theorem', 'for', 'entropy', 'measurevalued', 'solutions']] | [-0.13532319445499874, 0.03862729168913768, -0.11230313987966548, 0.05491282013269696, -0.0718083735852641, -0.10473460702106674, 0.06464723141943203, 0.23778516256270257, -0.2516583568030136, -0.26520310241253453, 0.125558368917406, -0.2792401938560478, -0.11100788776108876, 0.20689359324132192, -0.12146006136181507, 0.11926514867252294, 0.057922771844537334, -0.04957725811115605, -0.06819423339874582, -0.20614797473597796, 0.3839575419638385, 0.02366790904643688, 0.33384442692523464, 0.09032992889827236, 0.16757087566037762, 0.00027749448657986964, -0.06356041393975945, 0.00347634523294549, -0.21593114001517918, 0.13303244363348138, 0.1529103218171587, 0.06286109186847635, 0.2937060224457069, -0.37415942000819646, -0.20754278870299459, 0.06568137332400743, 0.1350632730519716, 0.0747163043099832, -0.07936017470251015, -0.2736856851310648, 0.07485275196674418, -0.11898019634425006, -0.22979692243871855, -0.10246636099281146, -0.017003425456424977, 0.1279520684892827, -0.2775110769620601, 0.1786426220437824, 0.1783543084231806, 0.0381385632097087, -0.1621836792390318, -0.06652227101570114, -0.021772010031433656, 0.08309610756708587, 0.12033475667084666, -0.04766375100874203, 0.042899319654370244, -0.07350102067984482, -0.10241598891530265, 0.33694259310141206, -0.09562368498758432, -0.2937689919539906, 0.17320469192209395, -0.09870445130868478, -0.12774315752842008, 0.08979746761751618, 0.13194950630620836, 0.16746330707734314, -0.11854524232764194, 0.11772975676626145, -0.054974736170248784, 0.10791952232830226, 0.08405344972902155, 0.005535694324669052, 0.0710195093465216, 0.14257895590816724, 0.19400134177363298, 0.11098422190332984, 0.011773365349112514, -0.15267886229489802, -0.3391905642619872, -0.1771625748196458, -0.1928178357812477, 0.09914458726354419, -0.15865529244818274, -0.14545139188858422, 0.3268142405184025, 0.08539099630186374, 0.1470296414608651, 0.1683058506521852, 0.2605270123446083, 0.2071781736090185, 0.0006522664830009353, 0.09383965920201166, 0.27060093337352925, 0.1928975492705928, 0.18201604512757918, -0.23861274278247135, 0.0714311400661245, 0.24094026131515808] |
712.0095 | Collider Phenomenology of Gauge-Higgs Unification Scenarios in Warped
Extra Dimensions | We compute the couplings of the zero modes and first excited states of
gluons, $W$'s, $Z$ gauge bosons, as well as the Higgs, to the zero modes and
first excited states of the third generation quarks, in an RS Gauge-Higgs
unification scenario based on a bulk $SO(5)\times U(1)_X$ gauge symmetry, with
gauge and fermion fields propagating in the bulk. Using the parameter space
consistent with electroweak precision tests and radiative electroweak symmetry
breaking, we study numerically the dependence of these couplings on the
parameters of our model. Furthermore, after emphasizing the presence of light
excited states of the top quark, which couple strongly to the Kaluza Klein
gauge bosons, the associated collider phenomenology is analyzed. In particular,
we concentrate on the possible detection of the first excited state of the top,
$t^1$, which tends to have a higher mass than the ones accessible via regular
QCD production processes. We stress that the detection of these particles is
still possible due to an increase in the pair production of $t^1$ induced by
the first excited state of the gluon, $G^1$.
| hep-ph hep-ex | we compute the couplings of the zero modes and first excited states of gluons ws z gauge bosons as well as the higgs to the zero modes and first excited states of the third generation quarks in an rs gaugehiggs unification scenario based on a bulk so5times u1_x gauge symmetry with gauge and fermion fields propagating in the bulk using the parameter space consistent with electroweak precision tests and radiative electroweak symmetry breaking we study numerically the dependence of these couplings on the parameters of our model furthermore after emphasizing the presence of light excited states of the top quark which couple strongly to the kaluza klein gauge bosons the associated collider phenomenology is analyzed in particular we concentrate on the possible detection of the first excited state of the top t1 which tends to have a higher mass than the ones accessible via regular qcd production processes we stress that the detection of these particles is still possible due to an increase in the pair production of t1 induced by the first excited state of the gluon g1 | [['we', 'compute', 'the', 'couplings', 'of', 'the', 'zero', 'modes', 'and', 'first', 'excited', 'states', 'of', 'gluons', 'ws', 'z', 'gauge', 'bosons', 'as', 'well', 'as', 'the', 'higgs', 'to', 'the', 'zero', 'modes', 'and', 'first', 'excited', 'states', 'of', 'the', 'third', 'generation', 'quarks', 'in', 'an', 'rs', 'gaugehiggs', 'unification', 'scenario', 'based', 'on', 'a', 'bulk', 'so5times', 'u1_x', 'gauge', 'symmetry', 'with', 'gauge', 'and', 'fermion', 'fields', 'propagating', 'in', 'the', 'bulk', 'using', 'the', 'parameter', 'space', 'consistent', 'with', 'electroweak', 'precision', 'tests', 'and', 'radiative', 'electroweak', 'symmetry', 'breaking', 'we', 'study', 'numerically', 'the', 'dependence', 'of', 'these', 'couplings', 'on', 'the', 'parameters', 'of', 'our', 'model', 'furthermore', 'after', 'emphasizing', 'the', 'presence', 'of', 'light', 'excited', 'states', 'of', 'the', 'top', 'quark', 'which', 'couple', 'strongly', 'to', 'the', 'kaluza', 'klein', 'gauge', 'bosons', 'the', 'associated', 'collider', 'phenomenology', 'is', 'analyzed', 'in', 'particular', 'we', 'concentrate', 'on', 'the', 'possible', 'detection', 'of', 'the', 'first', 'excited', 'state', 'of', 'the', 'top', 't1', 'which', 'tends', 'to', 'have', 'a', 'higher', 'mass', 'than', 'the', 'ones', 'accessible', 'via', 'regular', 'qcd', 'production', 'processes', 'we', 'stress', 'that', 'the', 'detection', 'of', 'these', 'particles', 'is', 'still', 'possible', 'due', 'to', 'an', 'increase', 'in', 'the', 'pair', 'production', 'of', 't1', 'induced', 'by', 'the', 'first', 'excited', 'state', 'of', 'the', 'gluon', 'g1']] | [-0.11598014931959313, 0.3009713437766235, -0.04758945060893893, 0.09808723942387079, -0.049067407233807044, -0.12716998348751382, 0.04818417246365014, 0.313632132610379, -0.20411471934343933, -0.25587812821021794, 0.041158848022001496, -0.27848446810899, -0.03306560002933334, 0.09025370941871996, 0.08686318327594736, 0.053603001718527485, 0.01839064177276577, 0.0498810237879714, -0.050160082723417286, -0.2567786749311874, 0.34151253591463304, 0.02527629988796114, 0.24799507728377201, 0.10479628490856406, 0.07687881131859382, 0.006596006618229953, 0.01592687295304934, -0.0928730677851338, -0.10164023755143778, 0.08188564995337569, 0.14701901167262799, 0.015856286588868947, 0.137652106031609, -0.3940744676975814, -0.15249869324834028, 0.10503098942526726, 0.15625839406759712, 0.14618005535133474, -0.05506216535115791, -0.3404351700898572, 0.05597625730829782, -0.18818843836100074, -0.13302514318301337, -0.0697700617231387, -0.029610436014940327, -0.10416817865542569, -0.2804816210565714, 0.09012992579526367, -0.010775613045715336, 0.020589602458181495, -0.03156104972117773, -0.11472595201846858, -0.14035557669993262, 0.03724371674912852, 0.16240519120464592, 0.029172408031611887, 0.1358735609299493, -0.22052943796522956, -0.18127838373912614, 0.4133916330841167, -0.12808713482443423, -0.17533976041618216, 0.2099999857756866, -0.15751330186703955, -0.13482433100694052, 0.11877304629563203, 0.2058757080061767, 0.14312340720561878, -0.10139732763649864, 0.13446831307504015, -0.010900194392482328, 0.14996061435323105, 0.05571057720437604, 0.07365872130817708, 0.22386001967746952, 0.16582793556283848, 0.006961923478920449, 0.11593187074619216, -0.07394233457490479, -0.09235089267122783, -0.41286967668744773, -0.1606713627366214, -0.14189125931504384, 0.040803034896520096, -0.044258359301634985, -0.11970864049504984, 0.4459791755532669, 0.1220623132650475, 0.21820020614915095, 0.0029887807979534623, 0.2607053401997032, 0.11704602803938695, 0.08990964686771849, 0.03795878945577658, 0.3291859627264297, 0.17611531547125034, 0.05933736808150591, -0.27914079139269266, -0.03560625471424457, 0.08047273314906565] |
712.0096 | Auxiliary Information and A Priori Values in Construction of Improved
Estimators | This volume is a collection of six papers on the use of auxiliary information
and 'a priori' values in construction of improved estimators. The work included
here will be of immense application for researchers and students who emply
auxiliary information in any form.
| stat.ME | this volume is a collection of six papers on the use of auxiliary information and a priori values in construction of improved estimators the work included here will be of immense application for researchers and students who emply auxiliary information in any form | [['this', 'volume', 'is', 'a', 'collection', 'of', 'six', 'papers', 'on', 'the', 'use', 'of', 'auxiliary', 'information', 'and', 'a', 'priori', 'values', 'in', 'construction', 'of', 'improved', 'estimators', 'the', 'work', 'included', 'here', 'will', 'be', 'of', 'immense', 'application', 'for', 'researchers', 'and', 'students', 'who', 'emply', 'auxiliary', 'information', 'in', 'any', 'form']] | [-0.036411830046701996, 0.071258155130116, -0.09898708805087067, 0.05417000358214691, -0.14186865729945047, -0.0969259417172344, 0.10266302004900008, 0.33971335863073665, -0.17287980418075763, -0.37394524259226664, 0.1640752536921008, -0.30528828949623166, -0.1647927254615795, 0.2190722010674931, -0.13417230977765507, 0.01768386562201028, 0.11766484148600805, 0.06807715194078073, -0.06915196149964772, -0.3645998273776578, 0.3183586332680924, 0.062358162831515074, 0.23953718251903497, 0.03201899934737455, 0.10935415451725324, 0.0329358284139917, -0.11966521911589163, 0.042056949609624486, -0.16078955671262174, 0.22310125306692152, 0.3055738766810724, 0.15431403216817194, 0.3778918147796676, -0.36430074438630117, -0.19604895558205454, 0.09623105993627437, 0.1407627142921445, 0.1449289225219261, -0.03549637452843377, -0.26240325856599067, 0.02539056468577612, -0.1886145607790067, -0.10739007197497856, -0.08607590721831435, -0.0002729609342558043, 0.031211002607874218, -0.3122238571578193, 0.00045948406858813194, 0.04622035848331593, 0.12075970135629177, -0.044608027807303836, -0.11579643378389023, 0.045668490940616244, 0.18952742074837997, 0.032847707220796676, 0.028915800104316856, 0.11134349871870308, -0.14529972061670074, -0.09905059750945795, 0.27239019765208167, -0.02362039262828018, -0.25086543957392377, 0.1276839973316306, -0.07695260867919951, -0.17155404200422622, 0.09390463617940743, 0.22336477116637288, 0.09543965782393657, -0.20847549963010742, 0.10400113784652647, -0.03557706451309579, 0.15917369559229838, 0.08498887456066552, 0.052296389249109086, 0.17701711368724882, 0.11714174283579701, 0.034178933195237605, 0.08569918511507456, 0.006298538990363124, -0.039917934885514636, -0.3306990322612581, -0.2396596083923387, -0.24044673088272767, 0.08783400941285349, -0.06139679664366191, -0.1374634724176888, 0.3843504122314265, 0.18050258788501933, 0.11852503631130926, -0.03182665138350179, 0.290833177000639, 0.046271231108611185, 0.08055430140701078, 0.06967232237747382, 0.17496420810043456, 0.08946586653058018, 0.12255442205683462, -0.10066947288301197, 0.07897972155894552, 0.03916294666539345] |
712.0097 | Redundancy Estimates for Word-Based Encoding of Sequences Produced by a
Bernoulli Source | The efficiency of a code is estimated by its redundancy $R$, while the
complexity of a code is estimated by its average delay $\bar N$. In this work
we construct word-based codes, for which $R \lesssim \bar N^{-5/3}$. Therefore,
word-based codes can attain the same redundancy as block-codes while being much
less complex.
We also consider uniform on the output codes, the benefit of which is the
lack of a running synchronization error. For such codes $\bar N^{-1} \lesssim R
\lesssim \bar N^{-1}$, except for a case when all input symbols are
equiprobable, when $R \leqslant \bar N^{-2}$ for infinitely many $\bar N$.
| cs.IT math.IT | the efficiency of a code is estimated by its redundancy r while the complexity of a code is estimated by its average delay bar n in this work we construct wordbased codes for which r lesssim bar n53 therefore wordbased codes can attain the same redundancy as blockcodes while being much less complex we also consider uniform on the output codes the benefit of which is the lack of a running synchronization error for such codes bar n1 lesssim r lesssim bar n1 except for a case when all input symbols are equiprobable when r leqslant bar n2 for infinitely many bar n | [['the', 'efficiency', 'of', 'a', 'code', 'is', 'estimated', 'by', 'its', 'redundancy', 'r', 'while', 'the', 'complexity', 'of', 'a', 'code', 'is', 'estimated', 'by', 'its', 'average', 'delay', 'bar', 'n', 'in', 'this', 'work', 'we', 'construct', 'wordbased', 'codes', 'for', 'which', 'r', 'lesssim', 'bar', 'n53', 'therefore', 'wordbased', 'codes', 'can', 'attain', 'the', 'same', 'redundancy', 'as', 'blockcodes', 'while', 'being', 'much', 'less', 'complex', 'we', 'also', 'consider', 'uniform', 'on', 'the', 'output', 'codes', 'the', 'benefit', 'of', 'which', 'is', 'the', 'lack', 'of', 'a', 'running', 'synchronization', 'error', 'for', 'such', 'codes', 'bar', 'n1', 'lesssim', 'r', 'lesssim', 'bar', 'n1', 'except', 'for', 'a', 'case', 'when', 'all', 'input', 'symbols', 'are', 'equiprobable', 'when', 'r', 'leqslant', 'bar', 'n2', 'for', 'infinitely', 'many', 'bar', 'n']] | [-0.16929570109881822, 0.12777676525552875, 0.007989168528792927, 0.09190977491592102, 0.02940545576959125, -0.2488862645441612, 0.02059913942029754, 0.345508968077817, -0.2627156000285979, -0.28175335370447235, 0.11469595093908494, -0.26485828176430126, -0.061960941463148275, 0.16845435023000374, -0.05546155741474437, 0.048604874933834724, 0.044891765318557764, 0.07636289813022301, -0.09721840502585745, -0.3192897136571808, 0.25573398839135303, 0.0922931925646816, 0.15327170792768158, -0.02961419579726689, 0.024066337348115675, -0.019537011500520323, 0.0007298191443076629, -0.0468960612971625, -0.1573023130400649, 0.05386293727398208, 0.258424303715922, 0.18358122030707094, 0.226937889080784, -0.333831235449942, -0.18526297885454396, 0.09869672123849102, 0.22308111429051722, 0.09849946008027685, 0.008423240327511381, -0.17401259561358653, 0.19809335602099276, -0.20532308153591108, -0.027619313945975697, 0.017065675938230693, 0.11985146968616443, -0.0024725512694115342, -0.35079002942781423, 0.0030760413046487726, 0.08737488332412487, 0.09601251136294557, 0.030528440892931472, -0.18487678300046806, -0.021340472922090768, 0.09790582131895065, 0.015874438158471536, 0.14335194764459885, 0.08957347059984086, -0.1079884136776051, -0.03774750591662613, 0.3766650989904855, -0.047132848599220366, -0.22430126755091462, 0.14118362771962017, -0.12250178840770884, -0.10618349766467237, 0.11606058006138695, 0.1589364849157559, 0.11776029771573625, -0.03909979141865477, 0.1764097260311246, -0.04063428329864462, 0.21634143345098653, 0.12284990123843828, 0.10209735555266872, 0.12846770120764295, 0.10796373188766895, 0.05578766734671589, 0.11056786953715735, -0.06970786824070813, -0.018167948290407295, -0.2975525500849613, -0.13602709117372638, -0.1520395376414368, 0.06015313168065351, -0.16868254837797034, -0.11386146588088239, 0.3413083790394577, 0.08702687109883839, 0.21339205244682657, 0.1603328041230482, 0.30145999319055705, 0.023996292662047284, 0.10428716650106085, 0.198380946864383, 0.1624655748934494, 0.11394241478890904, -0.008593523666913648, -0.21379270349873356, 0.07633527606562937, 0.02712060502974443] |
712.0098 | Global wellposedness in the energy space for the Maxwell-Schr\"odinger
system | We prove that the Maxwell-Schr\"odinger system in $\R^{3+1}$ is globally
well-posed in the energy space. The key element of the proof is to obtain a
short time wave packet parametrix for the magnetic Schr\"odinger equation,
which leads to linear, bilinear and trilinear estimates. These, in turn, are
extended to larger time scales via a bootstrap argument.
| math.AP | we prove that the maxwellschrodinger system in r31 is globally wellposed in the energy space the key element of the proof is to obtain a short time wave packet parametrix for the magnetic schrodinger equation which leads to linear bilinear and trilinear estimates these in turn are extended to larger time scales via a bootstrap argument | [['we', 'prove', 'that', 'the', 'maxwellschrodinger', 'system', 'in', 'r31', 'is', 'globally', 'wellposed', 'in', 'the', 'energy', 'space', 'the', 'key', 'element', 'of', 'the', 'proof', 'is', 'to', 'obtain', 'a', 'short', 'time', 'wave', 'packet', 'parametrix', 'for', 'the', 'magnetic', 'schrodinger', 'equation', 'which', 'leads', 'to', 'linear', 'bilinear', 'and', 'trilinear', 'estimates', 'these', 'in', 'turn', 'are', 'extended', 'to', 'larger', 'time', 'scales', 'via', 'a', 'bootstrap', 'argument']] | [-0.17989176164181636, 0.1117816177554362, -0.10367109629026215, 0.10799658335495874, -0.10241176284450505, -0.1194940010983763, -0.019571576356871186, 0.3125515616349211, -0.292874031134748, -0.22039688458400114, 0.14197854636378388, -0.23459657581406645, -0.09475478027681154, 0.21402660812184746, -0.006028525980322489, 0.08017754777600723, 0.06555899548610407, 0.018960509478347376, -0.08849384964560159, -0.23285679509198026, 0.3539023389540879, 0.012761894330781485, 0.22151834371366672, 0.05080083338335888, 0.11645525286439806, -0.009092332529170173, -0.004759116331115365, -0.07128371766521013, -0.12125565219802022, 0.0977017681912652, 0.2593044233300524, 0.039226739280690835, 0.28819030882524593, -0.4494426554468061, -0.2009145230487255, 0.09809932691444244, 0.16224054139872482, 0.1436308911964131, -0.0008274114765559456, -0.30615095112339724, 0.07217870932072401, -0.10132527592525419, -0.19148425842701858, -0.08007758453355304, 0.03550009509282453, 0.03723452266837869, -0.33381832730291144, 0.14186452733494143, 0.0546734362807391, -0.06815745290701411, -0.11456968379206955, -0.027954275609642667, -0.0229270423712608, 0.02000520997847031, 0.06514659855747595, 0.08935777456333328, 0.039536628764056204, -0.04275715618028438, -0.04216975452644484, 0.33281734718808104, -0.10297575640808125, -0.24747969642547624, 0.13756771724937217, -0.14852244350393967, -0.09384881823539867, 0.12558514982395405, 0.18502566042090102, 0.13235089708385722, -0.15503651437549187, 0.13846633051018994, -0.04494081201404957, 0.20820934026102936, 0.04874614917623278, 0.04903175325099645, 0.0913080014309214, 0.1444647757702374, 0.1798768287657627, 0.09576942359230348, -0.02380765913819362, -0.12234875152353197, -0.3468289385948862, -0.18949516344998432, -0.18323754948297782, 0.07825750408639058, -0.14348236749122276, -0.18689398633848345, 0.3823634176431889, 0.14657686524359242, 0.1557890548137948, 0.10878000325465109, 0.2282134329185023, 0.23859676306268998, 0.06601378166981574, 0.07707106118323281, 0.23113611061125994, 0.12763538996555976, 0.13837337480591877, -0.21321964586968534, -0.018918325534156923, 0.2238803485441687] |
712.0099 | Optical spin-to-orbital angular momentum conversion in inhomogeneous
anisotropic media | We demonstrate experimentally an optical process in which the spin angular
momentum carried by a circularly polarized light beam is converted into orbital
angular momentum, leading to the generation of helical modes with a wavefront
helicity controlled by the input polarization. This phenomenon requires the
interaction of light with matter that is both optically inhomogeneous and
anisotropic. The underlying physics is also associated with the so-called
Pancharatnam-Berry geometrical phases involved in any inhomogeneous
transformation of the optical polarization.
| physics.optics cond-mat.soft quant-ph | we demonstrate experimentally an optical process in which the spin angular momentum carried by a circularly polarized light beam is converted into orbital angular momentum leading to the generation of helical modes with a wavefront helicity controlled by the input polarization this phenomenon requires the interaction of light with matter that is both optically inhomogeneous and anisotropic the underlying physics is also associated with the socalled pancharatnamberry geometrical phases involved in any inhomogeneous transformation of the optical polarization | [['we', 'demonstrate', 'experimentally', 'an', 'optical', 'process', 'in', 'which', 'the', 'spin', 'angular', 'momentum', 'carried', 'by', 'a', 'circularly', 'polarized', 'light', 'beam', 'is', 'converted', 'into', 'orbital', 'angular', 'momentum', 'leading', 'to', 'the', 'generation', 'of', 'helical', 'modes', 'with', 'a', 'wavefront', 'helicity', 'controlled', 'by', 'the', 'input', 'polarization', 'this', 'phenomenon', 'requires', 'the', 'interaction', 'of', 'light', 'with', 'matter', 'that', 'is', 'both', 'optically', 'inhomogeneous', 'and', 'anisotropic', 'the', 'underlying', 'physics', 'is', 'also', 'associated', 'with', 'the', 'socalled', 'pancharatnamberry', 'geometrical', 'phases', 'involved', 'in', 'any', 'inhomogeneous', 'transformation', 'of', 'the', 'optical', 'polarization']] | [-0.15695128346291873, 0.28246629501574294, -0.10139041473993506, 0.015113084013720277, -0.07545405210783848, -0.08775664425383393, -0.026372788462023705, 0.43423634249334914, -0.30193430698739415, -0.28730869245452756, 0.026442362129903182, -0.21418071729250443, -0.08777921924439187, 0.17793270977190098, 0.054522699724214196, 0.0418813908771158, -0.005255017334069961, -0.07949618469828214, -0.045736612510294296, -0.1331362057572756, 0.33980907420985973, 0.05891025414315757, 0.2933062668292759, 0.01750704461040023, 0.151698458306969, 0.07080495528852901, -0.02964814690252145, -0.02892922032146882, -0.05615867277092781, 0.08753063707039334, 0.17526905213628943, -0.008781837502446694, 0.14533509192271873, -0.4353135317707291, -0.19801990810829478, 0.06745537599691978, 0.1377883301092646, 0.15082313431253752, -0.09292752859899057, -0.2761281250187984, -0.04157079938345422, -0.1024155469181446, -0.1904562259069047, -0.07837310103245844, 0.024883893384890728, 0.005444524833598198, -0.27442851844124305, 0.07877450356332141, 0.0792574182104988, 0.014092581863037478, -0.042146568022405684, -0.05195256853356767, -0.12627860641656205, 0.011087012238418445, 0.02984843703056984, 0.07391479300060429, 0.10704535801629297, -0.14942834119443807, -0.11682218008746321, 0.39314950320821923, -0.03680477447163027, -0.20151567643038923, 0.07819324596307407, -0.20558825711057765, -0.01041801105468319, 0.2068008216074071, 0.17220873400592843, 0.0943000900241224, -0.11907913406881002, 0.02770643259729975, -0.019320041060638733, 0.18784552993169293, 0.0617161529759566, 0.11339347860298286, 0.30963906546672565, 0.14825476606030208, 0.0003422459897895654, 0.16939769266173244, -0.14806793584527136, -0.07026354844371478, -0.2698273988954054, -0.1290065586590805, -0.20212712832607138, 0.07968102746571486, -0.07120335544440866, -0.10001609917992774, 0.4418647049759061, 0.11784668614675936, 0.1710577466023656, -0.09390208612118538, 0.36710479057943207, 0.12298103395061424, 0.05074367177887605, 0.04288184595628618, 0.333098641763895, 0.18466660647223201, 0.1467208621235421, -0.31429688142349893, 0.03771497636961822, -0.011012835451998772] |
712.01 | The UKIDSS Galactic Plane Survey | The UKIDSS Galactic Plane Survey (GPS) is one of the five near infrared
Public Legacy Surveys that are being undertaken by the UKIDSS consortium, using
the Wide Field Camera on the United Kingdom Infrared Telescope. It is surveying
1868 sq.deg. of the northern and equatorial Galactic plane at Galactic
latitudes -5<b<5 in the J, H and K filters and a ~200 sq.deg. area of the
Taurus-Auriga-Perseus molecular cloud complex in these three filters and the
2.12 um (1-0) H_2 filter. It will provide data on ~2 billion sources. Here we
describe the properties of the dataset and provide a user's guide for its
exploitation. We also present brief Demonstration Science results from DR2 and
from the Science Verification programme. These results illustrate how GPS data
will frequently be combined with data taken in other wavebands to produce
scientific results. The Demonstration Science includes studies of: (i) the star
formation region G28.983-0.603, cross matching with Spitzer-GLIMPSE data to
identify YSOs; (ii) the M17 nebula; (iii) H_2 emission in the rho Ophiuchi dark
cloud; (iv) X-ray sources in the Galactic Centre; (v) external galaxies in the
Zone of Avoidance; (vi) IPHAS-GPS optical-infrared spectrophotometric typing.
(abridged).
| astro-ph | the ukidss galactic plane survey gps is one of the five near infrared public legacy surveys that are being undertaken by the ukidss consortium using the wide field camera on the united kingdom infrared telescope it is surveying 1868 sqdeg of the northern and equatorial galactic plane at galactic latitudes 5b5 in the j h and k filters and a 200 sqdeg area of the taurusaurigaperseus molecular cloud complex in these three filters and the 212 um 10 h_2 filter it will provide data on 2 billion sources here we describe the properties of the dataset and provide a users guide for its exploitation we also present brief demonstration science results from dr2 and from the science verification programme these results illustrate how gps data will frequently be combined with data taken in other wavebands to produce scientific results the demonstration science includes studies of i the star formation region g289830603 cross matching with spitzerglimpse data to identify ysos ii the m17 nebula iii h_2 emission in the rho ophiuchi dark cloud iv xray sources in the galactic centre v external galaxies in the zone of avoidance vi iphasgps opticalinfrared spectrophotometric typing abridged | [['the', 'ukidss', 'galactic', 'plane', 'survey', 'gps', 'is', 'one', 'of', 'the', 'five', 'near', 'infrared', 'public', 'legacy', 'surveys', 'that', 'are', 'being', 'undertaken', 'by', 'the', 'ukidss', 'consortium', 'using', 'the', 'wide', 'field', 'camera', 'on', 'the', 'united', 'kingdom', 'infrared', 'telescope', 'it', 'is', 'surveying', '1868', 'sqdeg', 'of', 'the', 'northern', 'and', 'equatorial', 'galactic', 'plane', 'at', 'galactic', 'latitudes', '5b5', 'in', 'the', 'j', 'h', 'and', 'k', 'filters', 'and', 'a', '200', 'sqdeg', 'area', 'of', 'the', 'taurusaurigaperseus', 'molecular', 'cloud', 'complex', 'in', 'these', 'three', 'filters', 'and', 'the', '212', 'um', '10', 'h_2', 'filter', 'it', 'will', 'provide', 'data', 'on', '2', 'billion', 'sources', 'here', 'we', 'describe', 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712.0101 | Pancharatnam-Berry phase optical elements for wavefront shaping in the
visible domain: switchable helical modes generation | We report the realization of a Pancharatnam-Berry phase optical element [Z.
Bomzon, G. Biener, V. Kleiner, and E. Hasman, Opt. Lett. \textbf{27}, 1141
(2002)] for wavefront shaping working in the visible spectral domain, based on
patterned liquid crystal technology. This device generates helical modes of
visible light with the possibility of electro-optically switching between
opposite helicities by controlling the handedness of the input circular
polarization. By cascading this approach, fast switching among multiple
wavefront helicities can be achieved, with potential applications to
multi-state optical information encoding. The approach demonstrated here can be
generalized to other polarization-controlled devices for wavefront shaping,
such as switchable lenses, beam-splitters, and holographic elements.
| physics.optics cond-mat.soft quant-ph | we report the realization of a pancharatnamberry phase optical element z bomzon g biener v kleiner and e hasman opt lett textbf27 1141 2002 for wavefront shaping working in the visible spectral domain based on patterned liquid crystal technology this device generates helical modes of visible light with the possibility of electrooptically switching between opposite helicities by controlling the handedness of the input circular polarization by cascading this approach fast switching among multiple wavefront helicities can be achieved with potential applications to multistate optical information encoding the approach demonstrated here can be generalized to other polarizationcontrolled devices for wavefront shaping such as switchable lenses beamsplitters and holographic elements | [['we', 'report', 'the', 'realization', 'of', 'a', 'pancharatnamberry', 'phase', 'optical', 'element', 'z', 'bomzon', 'g', 'biener', 'v', 'kleiner', 'and', 'e', 'hasman', 'opt', 'lett', 'textbf27', '1141', '2002', 'for', 'wavefront', 'shaping', 'working', 'in', 'the', 'visible', 'spectral', 'domain', 'based', 'on', 'patterned', 'liquid', 'crystal', 'technology', 'this', 'device', 'generates', 'helical', 'modes', 'of', 'visible', 'light', 'with', 'the', 'possibility', 'of', 'electrooptically', 'switching', 'between', 'opposite', 'helicities', 'by', 'controlling', 'the', 'handedness', 'of', 'the', 'input', 'circular', 'polarization', 'by', 'cascading', 'this', 'approach', 'fast', 'switching', 'among', 'multiple', 'wavefront', 'helicities', 'can', 'be', 'achieved', 'with', 'potential', 'applications', 'to', 'multistate', 'optical', 'information', 'encoding', 'the', 'approach', 'demonstrated', 'here', 'can', 'be', 'generalized', 'to', 'other', 'polarizationcontrolled', 'devices', 'for', 'wavefront', 'shaping', 'such', 'as', 'switchable', 'lenses', 'beamsplitters', 'and', 'holographic', 'elements']] | [-0.17144434347393966, 0.19904653723351656, -0.06034943859669424, -0.08693558232237895, -0.10418051744234703, -0.18836212022939608, 0.03358722948247478, 0.4851930928372201, -0.2527730132164877, -0.3177760538157253, 0.018144131368691366, -0.21524995237899322, -0.18650345632008145, 0.2157596220351046, -0.06777170728005114, 0.0663227610511794, 0.00766027166752056, -0.09510125995924075, -0.02323560437542342, -0.15692537312528917, 0.20682672418742662, 0.0029910700451139184, 0.34188978617922183, 0.018154571886130032, 0.12424353491958408, 0.07282819722646049, 0.007338512640091635, -0.041110160997847006, -0.08614913281940278, 0.10496673413241903, 0.24284177961803619, 0.009565615596338397, 0.19848233806412843, -0.4411441682309877, -0.22522357021946282, 0.06183161832214821, 0.13557874123078018, 0.10419794023036957, -0.08015017950951699, -0.3213814845929543, 0.056501814389845265, -0.13753047301655724, -0.14889043250462106, -0.05728542530379768, 0.037288604581373785, 0.019623351544751564, -0.2804275481340786, 0.0020111600469265665, 0.04379183254571953, 0.0452744464146062, 0.026815837353795013, -0.07455840711925356, -0.06272343412219059, 0.06312221466962781, -0.07202113018859001, 0.035691953079021045, 0.14909320250597027, -0.11344780993115688, -0.18514347999977568, 0.3363102927715296, -0.038120049344641825, -0.1195031545257994, 0.07710900352159071, -0.12530607452970885, -0.016662979924253054, 0.11115227803280245, 0.19641197593383758, 0.1150816585159018, -0.10688646981919495, 0.040537890180989744, 0.023509113417683348, 0.18276122105973108, 0.1676887264386529, 0.12417441841569685, 0.2516971165580409, 0.1606414534850046, 0.029929355279143366, 0.10549289450503975, -0.13455271573648567, -0.004115349349255363, -0.27736908220076223, -0.14164215665133226, -0.18339450777552668, 0.037608777842528765, -0.07904679104436323, -0.12343598260499891, 0.404741446744828, 0.11730062605901843, 0.10723974064790777, -0.059960717631093716, 0.31692896444527874, 0.0700380302899118, 0.06785932330946837, 0.04189014524620559, 0.29293232989453133, 0.16404075825232126, 0.1257272166820864, -0.25575770668330644, 0.0012801115212607243, 0.02392671715822958] |
712.0102 | Univoque numbers and an avatar of Thue-Morse | Univoque numbers are real numbers $\lambda > 1$ such that the number 1 admits
a unique expansion in base $\lambda$, i.e., a unique expansion $1 = \sum_{j
\geq 0} a_j \lambda^{-(j+1)}$, with $a_j \in \{0, 1, ..., \lceil \lambda \rceil
-1\}$ for every $j \geq 0$. A variation of this definition was studied in 2002
by Komornik and Loreti, together with sequences called {\em admissible
sequences}. We show how a 1983 study of the first author gives both a result of
Komornik and Loreti on the smallest admissible sequence on the set $\{0, 1,
>..., b\}$, and a result of de Vries and Komornik (2007) on the smallest
univoque number belonging to the interval $(b, b+1)$, where $b$ is any positive
integer. We also prove that this last number is transcendental. An avatar of
the Thue-Morse sequence, namely the fixed point beginning in 3 of the morphism
$3 \to 31$, $2 \to 30$, $1 \to 03$, $0 \to 02$, occurs in a "universal" manner.
| math.NT math.CO | univoque numbers are real numbers lambda 1 such that the number 1 admits a unique expansion in base lambda ie a unique expansion 1 sum_j geq 0 a_j lambdaj1 with a_j in 0 1 lceil lambda rceil 1 for every j geq 0 a variation of this definition was studied in 2002 by komornik and loreti together with sequences called em admissible sequences we show how a 1983 study of the first author gives both a result of komornik and loreti on the smallest admissible sequence on the set 0 1 b and a result of de vries and komornik 2007 on the smallest univoque number belonging to the interval b b1 where b is any positive integer we also prove that this last number is transcendental an avatar of the thuemorse sequence namely the fixed point beginning in 3 of the morphism 3 to 31 2 to 30 1 to 03 0 to 02 occurs in a universal manner | [['univoque', 'numbers', 'are', 'real', 'numbers', 'lambda', '1', 'such', 'that', 'the', 'number', '1', 'admits', 'a', 'unique', 'expansion', 'in', 'base', 'lambda', 'ie', 'a', 'unique', 'expansion', '1', 'sum_j', 'geq', '0', 'a_j', 'lambdaj1', 'with', 'a_j', 'in', '0', '1', 'lceil', 'lambda', 'rceil', '1', 'for', 'every', 'j', 'geq', '0', 'a', 'variation', 'of', 'this', 'definition', 'was', 'studied', 'in', '2002', 'by', 'komornik', 'and', 'loreti', 'together', 'with', 'sequences', 'called', 'em', 'admissible', 'sequences', 'we', 'show', 'how', 'a', '1983', 'study', 'of', 'the', 'first', 'author', 'gives', 'both', 'a', 'result', 'of', 'komornik', 'and', 'loreti', 'on', 'the', 'smallest', 'admissible', 'sequence', 'on', 'the', 'set', '0', '1', 'b', 'and', 'a', 'result', 'of', 'de', 'vries', 'and', 'komornik', '2007', 'on', 'the', 'smallest', 'univoque', 'number', 'belonging', 'to', 'the', 'interval', 'b', 'b1', 'where', 'b', 'is', 'any', 'positive', 'integer', 'we', 'also', 'prove', 'that', 'this', 'last', 'number', 'is', 'transcendental', 'an', 'avatar', 'of', 'the', 'thuemorse', 'sequence', 'namely', 'the', 'fixed', 'point', 'beginning', 'in', '3', 'of', 'the', 'morphism', '3', 'to', '31', '2', 'to', '30', '1', 'to', '03', '0', 'to', '02', 'occurs', 'in', 'a', 'universal', 'manner']] | [-0.20204701778953368, 0.1369367839290604, -0.030663511784653524, 0.021720540305634715, -0.03388386397511236, -0.15994553461542013, 0.025849094656852523, 0.29436794866415317, -0.282750709534406, -0.27766414622793784, 0.0846372175004052, -0.31009866176583106, -0.11792137000545766, 0.12705665479162298, -0.06884871866281654, -0.02718141022923186, 0.004428687988657434, 0.08330013666231677, 0.0024858999165630192, -0.25132271558421215, 0.31143373181281425, -0.06957505700770039, 0.12825150023388043, 0.0031877344286760445, 0.10030496697111418, -0.0029137082670305696, 0.0162140241340491, -0.03554599371346288, -0.23094517942388035, 0.043534101029117034, 0.22724045807519141, 0.1488587903752103, 0.3092665040115797, -0.26991160572619977, -0.09356099990659258, 0.1695176352125903, 0.14448358660634114, -0.003919065868446849, 0.008704602365446446, -0.21374016017038025, 0.19714094778894792, -0.1411079115764408, -0.13163136581322119, 0.0018528144390749857, 0.17042867601526984, 0.03068737807953086, -0.32419059193640387, 0.0400689371007439, 0.11679574530923141, 0.06832756916845932, -0.0385367430881275, -0.20903389331585956, -0.023136807364007493, 0.08516629640622146, -0.027201925509802577, 0.1405369301872773, 0.0024290997077382913, -0.07148097359147743, -0.10380129373204783, 0.33622647817217327, -0.08113318066692578, -0.17686429108440313, 0.12691750244747074, -0.19442626747226566, -0.1842154167510522, 0.13844923293159442, 0.05963615546260709, 0.1521848097883616, -0.012809242168734284, 0.1817021479452345, -0.08784989636529049, 0.17361897881287033, 0.16619259907143577, -0.04613432722347759, 0.09837974171277206, 0.08159494318021168, 0.05490164965414589, 0.08004306648629454, -0.056381774066109794, -0.002352484563400723, -0.33731628686801746, -0.1674404853263741, -0.20202066229492333, 0.15113635969043668, -0.11141328949960089, -0.12567318427675175, 0.3395781085223147, 0.08733245859555197, 0.24530021487823073, 0.10908529371808066, 0.1624199516087208, 0.06851713710148605, -0.03248592951875356, 0.08394336839844971, 0.11905336479873121, 0.12374538059768109, 0.08370417287666937, -0.1397070151580931, -0.03181746010170699, 0.11046780317248601] |
712.0103 | A Construction of Quantum Stabilizer Codes Based on Syndrome Assignment
by Classical Parity-Check Matrices | In quantum coding theory, stabilizer codes are probably the most important
class of quantum codes. They are regarded as the quantum analogue of the
classical linear codes and the properties of stabilizer codes have been
carefully studied in the literature. In this paper, a new but simple
construction of stabilizer codes is proposed based on syndrome assignment by
classical parity-check matrices. This method reduces the construction of
quantum stabilizer codes to the construction of classical parity-check matrices
that satisfy a specific commutative condition. The quantum stabilizer codes
from this construction have a larger set of correctable error operators than
expected. Its (asymptotic) coding efficiency is comparable to that of CSS
codes. A class of quantum Reed-Muller codes is constructed, which have a larger
set of correctable error operators than that of the quantum Reed-Muller codes
developed previously in the literature. Quantum stabilizer codes inspired by
classical quadratic residue codes are also constructed and some of which are
optimal in terms of their coding parameters.
| quant-ph | in quantum coding theory stabilizer codes are probably the most important class of quantum codes they are regarded as the quantum analogue of the classical linear codes and the properties of stabilizer codes have been carefully studied in the literature in this paper a new but simple construction of stabilizer codes is proposed based on syndrome assignment by classical paritycheck matrices this method reduces the construction of quantum stabilizer codes to the construction of classical paritycheck matrices that satisfy a specific commutative condition the quantum stabilizer codes from this construction have a larger set of correctable error operators than expected its asymptotic coding efficiency is comparable to that of css codes a class of quantum reedmuller codes is constructed which have a larger set of correctable error operators than that of the quantum reedmuller codes developed previously in the literature quantum stabilizer codes inspired by classical quadratic residue codes are also constructed and some of which are optimal in terms of their coding parameters | [['in', 'quantum', 'coding', 'theory', 'stabilizer', 'codes', 'are', 'probably', 'the', 'most', 'important', 'class', 'of', 'quantum', 'codes', 'they', 'are', 'regarded', 'as', 'the', 'quantum', 'analogue', 'of', 'the', 'classical', 'linear', 'codes', 'and', 'the', 'properties', 'of', 'stabilizer', 'codes', 'have', 'been', 'carefully', 'studied', 'in', 'the', 'literature', 'in', 'this', 'paper', 'a', 'new', 'but', 'simple', 'construction', 'of', 'stabilizer', 'codes', 'is', 'proposed', 'based', 'on', 'syndrome', 'assignment', 'by', 'classical', 'paritycheck', 'matrices', 'this', 'method', 'reduces', 'the', 'construction', 'of', 'quantum', 'stabilizer', 'codes', 'to', 'the', 'construction', 'of', 'classical', 'paritycheck', 'matrices', 'that', 'satisfy', 'a', 'specific', 'commutative', 'condition', 'the', 'quantum', 'stabilizer', 'codes', 'from', 'this', 'construction', 'have', 'a', 'larger', 'set', 'of', 'correctable', 'error', 'operators', 'than', 'expected', 'its', 'asymptotic', 'coding', 'efficiency', 'is', 'comparable', 'to', 'that', 'of', 'css', 'codes', 'a', 'class', 'of', 'quantum', 'reedmuller', 'codes', 'is', 'constructed', 'which', 'have', 'a', 'larger', 'set', 'of', 'correctable', 'error', 'operators', 'than', 'that', 'of', 'the', 'quantum', 'reedmuller', 'codes', 'developed', 'previously', 'in', 'the', 'literature', 'quantum', 'stabilizer', 'codes', 'inspired', 'by', 'classical', 'quadratic', 'residue', 'codes', 'are', 'also', 'constructed', 'and', 'some', 'of', 'which', 'are', 'optimal', 'in', 'terms', 'of', 'their', 'coding', 'parameters']] | [-0.16280568166346313, 0.11488914666924535, -0.06949913315474987, 0.1117171275545843, 0.02001458721337613, -0.2642048374954157, 0.021874279842893706, 0.30229905707670784, -0.3013423864322249, -0.23859592725341094, 0.12851618909739843, -0.22451420397236488, -0.17154570004516623, 0.264440270896047, -0.16630812628171976, 0.16258208242155578, 0.06870122267807857, 0.06186450689764148, -0.19589649859981142, -0.36273589078336954, 0.3306539716772599, 0.18691126375868009, 0.2549734974646282, -0.061194539030377824, 0.04607824030582134, -0.03909792159343275, -0.026720640073507662, -0.029742320905802998, -0.1467182213353492, 0.1358090460317482, 0.3158842719120269, 0.15442505539196158, 0.2023525110604923, -0.3424218672713855, -0.2609206792016843, 0.08957198562622978, 0.11318529781703723, 0.23659815324368183, -0.05764102412560932, -0.21366411821615724, 0.17220665713581937, -0.2300067135308892, 0.005118466027807899, 0.0010544846527187563, -0.02036071616997261, -0.0070932488434198426, -0.24245603900493645, -0.009991731817114291, 0.09539659459728793, 0.10551346017036406, 0.008541445647474243, -0.1667973545618446, 0.06194871084526091, 0.09714886046400885, -0.08007002340078853, 0.045692470259737314, 0.09151298741003634, -0.04959344113509671, -0.18267676120669377, 0.3592903477923445, 0.025773730034416076, -0.23277239487847176, 0.0919640912949789, -0.06365075998757852, -0.11886346894571921, 0.1028063283131526, 0.17685674492371972, 0.12671144858070807, -0.10667128967711838, 0.15367016764911368, -0.08263137681614154, 0.14580264293997572, 0.06407999126212217, 0.20230959062805262, 0.12533644011539474, 0.006097695739122062, 0.030767125547466027, 0.1891172975954804, -0.006568019464328067, -0.13905081842605752, -0.30991470179429687, -0.13628778571231723, -0.21929069821546762, 0.07517424608771008, -0.11186717757255991, -0.23494598325114788, 0.41034630350995716, 0.10526982512867729, 0.07686481798222436, 0.09646606108701856, 0.22613846334606047, 0.04625966230768671, 0.1685390324181332, 0.1768923639376625, 0.19028169255531194, 0.265880108830837, -0.07865965086114933, -0.19956796649749753, 0.06936186717016758, 0.1592900287246377] |
712.0104 | Symmetric Systems and their Applications to Root Systems Extended by
Abelian Groups | We investigate the class of root systems R obtained by extending an
irreducible root system by a torsion-free group G. In this context there is a
Weyl group W and a group U with the presentation by conjugation. We show under
additional hypotheses that the kernel of the natural homomorphism from U to W
is isomorphic to the kernel of the homomorphism from the abelianization of U to
that of W. For this we introduce the concept of a symmetric system, a discrete
version of the concept of a symmetric space. Mathematics Subject Classification
2000: 20F55, 17B65, 17B67, 22E65, 22E40. Key Words and Phrases: Weyl group,
root system, presentation by conjugation, extended affine Weyl group (EAWeG),
extended affine root system (EARS), irreducible root system extended by an
abelian group.
| math.GR | we investigate the class of root systems r obtained by extending an irreducible root system by a torsionfree group g in this context there is a weyl group w and a group u with the presentation by conjugation we show under additional hypotheses that the kernel of the natural homomorphism from u to w is isomorphic to the kernel of the homomorphism from the abelianization of u to that of w for this we introduce the concept of a symmetric system a discrete version of the concept of a symmetric space mathematics subject classification 2000 20f55 17b65 17b67 22e65 22e40 key words and phrases weyl group root system presentation by conjugation extended affine weyl group eaweg extended affine root system ears irreducible root system extended by an abelian group | [['we', 'investigate', 'the', 'class', 'of', 'root', 'systems', 'r', 'obtained', 'by', 'extending', 'an', 'irreducible', 'root', 'system', 'by', 'a', 'torsionfree', 'group', 'g', 'in', 'this', 'context', 'there', 'is', 'a', 'weyl', 'group', 'w', 'and', 'a', 'group', 'u', 'with', 'the', 'presentation', 'by', 'conjugation', 'we', 'show', 'under', 'additional', 'hypotheses', 'that', 'the', 'kernel', 'of', 'the', 'natural', 'homomorphism', 'from', 'u', 'to', 'w', 'is', 'isomorphic', 'to', 'the', 'kernel', 'of', 'the', 'homomorphism', 'from', 'the', 'abelianization', 'of', 'u', 'to', 'that', 'of', 'w', 'for', 'this', 'we', 'introduce', 'the', 'concept', 'of', 'a', 'symmetric', 'system', 'a', 'discrete', 'version', 'of', 'the', 'concept', 'of', 'a', 'symmetric', 'space', 'mathematics', 'subject', 'classification', '2000', '20f55', '17b65', '17b67', '22e65', '22e40', 'key', 'words', 'and', 'phrases', 'weyl', 'group', 'root', 'system', 'presentation', 'by', 'conjugation', 'extended', 'affine', 'weyl', 'group', 'eaweg', 'extended', 'affine', 'root', 'system', 'ears', 'irreducible', 'root', 'system', 'extended', 'by', 'an', 'abelian', 'group']] | [-0.18809733182434143, 0.08715567520722119, -0.0892100292220106, 0.004892005379277668, -0.1176668646768099, -0.1494866647999885, 0.039413050661332966, 0.33319178314470665, -0.3844599816191003, -0.20290053620313606, 0.0961140358671016, -0.255802872999594, -0.1566992286002127, 0.13967088653140028, -0.11488495115947918, -0.03054977921632732, 0.05220482073633409, 0.14102102541819034, -0.11626814768982793, -0.2510772870864901, 0.40732594581729753, -0.013827754226248197, 0.22111301267580166, -0.03148570623318854, 0.1429360857824, 0.039096522832107614, -0.043350934558283025, -0.02054716747777529, -0.09146439704754886, 0.10467847618387967, 0.26163318745670766, 0.04450522708456691, 0.26148623063104093, -0.2988348938449006, -0.1586731889292719, 0.1699517037250041, 0.11060267468020926, -0.003986273265663322, -0.062026475510764414, -0.35347797094685274, 0.1104560792824723, -0.2554481421574587, -0.14904597702784447, 0.007545541174997523, 0.0932454609925427, -0.027221298382837114, -0.20665701361547217, 0.014610896507898966, 0.11471883623909993, 0.11332376848724557, -0.03216974812037334, -0.09916876329059857, -0.027574231302956255, 0.07382757980679351, -0.025326618557508156, 0.08036875072488092, 0.09384770824278636, -0.09869142684600944, -0.1259809234747436, 0.44923156296940353, -0.07134739840138189, -0.21826220991286804, 0.14864681542252864, -0.13901874877330733, -0.1345621603351783, 0.1276320810316176, 0.12243907114233428, 0.05429579712813947, -0.08125188853213094, 0.19408363358323968, -0.15604761825511004, 0.11137656851414197, 0.020606234616683265, -0.0413398363862217, 0.12122574235062773, 0.07639882478264834, 0.07977253640434001, 0.15908360399487542, 0.02798822312142579, 0.03557008139531666, -0.3871144519709959, -0.20739522270150332, -0.15482495880186012, 0.09478533696345379, -0.06888917334944698, -0.13553715730464555, 0.4183306882377502, 0.08677999476137442, 0.14219965379897173, 0.07148794666106804, 0.15797478229761486, 0.07150419938521899, 0.1108932804157276, 0.06459564317729537, 0.057394695964195136, 0.21154878864148102, -0.03290727731158457, -0.20551843382796742, -0.045216695700840255, 0.23556987683069172] |
712.0105 | On estimating the memory for finitarily Markovian processes | Finitarily Markovian processes are those processes
$\{X_n\}_{n=-\infty}^{\infty}$ for which there is a finite $K$ ($K =
K(\{X_n\}_{n=-\infty}^0$) such that the conditional distribution of $X_1$ given
the entire past is equal to the conditional distribution of $X_1$ given only
$\{X_n\}_{n=1-K}^0$. The least such value of $K$ is called the memory length.
We give a rather complete analysis of the problems of universally estimating
the least such value of $K$, both in the backward sense that we have just
described and in the forward sense, where one observes successive values of
$\{X_n\}$ for $n \geq 0$ and asks for the least value $K$ such that the
conditional distribution of $X_{n+1}$ given $\{X_i\}_{i=n-K+1}^n$ is the same
as the conditional distribution of $X_{n+1}$ given $\{X_i\}_{i=-\infty}^n$. We
allow for finite or countably infinite alphabet size.
| math.PR cs.IT math.IT | finitarily markovian processes are those processes x_n_ninftyinfty for which there is a finite k k kx_n_ninfty0 such that the conditional distribution of x_1 given the entire past is equal to the conditional distribution of x_1 given only x_n_n1k0 the least such value of k is called the memory length we give a rather complete analysis of the problems of universally estimating the least such value of k both in the backward sense that we have just described and in the forward sense where one observes successive values of x_n for n geq 0 and asks for the least value k such that the conditional distribution of x_n1 given x_i_ink1n is the same as the conditional distribution of x_n1 given x_i_iinftyn we allow for finite or countably infinite alphabet size | [['finitarily', 'markovian', 'processes', 'are', 'those', 'processes', 'x_n_ninftyinfty', 'for', 'which', 'there', 'is', 'a', 'finite', 'k', 'k', 'kx_n_ninfty0', 'such', 'that', 'the', 'conditional', 'distribution', 'of', 'x_1', 'given', 'the', 'entire', 'past', 'is', 'equal', 'to', 'the', 'conditional', 'distribution', 'of', 'x_1', 'given', 'only', 'x_n_n1k0', 'the', 'least', 'such', 'value', 'of', 'k', 'is', 'called', 'the', 'memory', 'length', 'we', 'give', 'a', 'rather', 'complete', 'analysis', 'of', 'the', 'problems', 'of', 'universally', 'estimating', 'the', 'least', 'such', 'value', 'of', 'k', 'both', 'in', 'the', 'backward', 'sense', 'that', 'we', 'have', 'just', 'described', 'and', 'in', 'the', 'forward', 'sense', 'where', 'one', 'observes', 'successive', 'values', 'of', 'x_n', 'for', 'n', 'geq', '0', 'and', 'asks', 'for', 'the', 'least', 'value', 'k', 'such', 'that', 'the', 'conditional', 'distribution', 'of', 'x_n1', 'given', 'x_i_ink1n', 'is', 'the', 'same', 'as', 'the', 'conditional', 'distribution', 'of', 'x_n1', 'given', 'x_i_iinftyn', 'we', 'allow', 'for', 'finite', 'or', 'countably', 'infinite', 'alphabet', 'size']] | [-0.1597226418239335, 0.1774308454891246, -0.07938971693229471, 0.03946296941684259, -0.03423677550463547, -0.15350900921640137, 0.0339331527450873, 0.352843294310714, -0.3076734932049388, -0.22726692501155119, 0.09272022778872445, -0.30391111619950784, -0.0610109674181008, 0.15167580936817573, -0.02719581468150981, 0.0629705118360195, 0.0030135698766717988, 0.15231185075038323, -0.04611233468054824, -0.2758396441537526, 0.3057103551635068, -0.039554621581168424, 0.1948680902545851, -0.026049113272869538, 0.18259846998825519, 0.04970169924819211, 0.014328776137723077, 0.019594743817804322, -0.1469129670791928, 0.05698792594710305, 0.27662364252835453, 0.18501747640285401, 0.32525849531614975, -0.35862037562577415, -0.1861783400846405, 0.2158173880738867, 0.1335367969868164, 0.023975427445557508, 0.03171121451117459, -0.20638863842431154, 0.16324721784105584, -0.09911166986022445, -0.10981898722539266, 0.017822067035482295, 0.09571253317182944, 0.051853556448834076, -0.33675270561211473, 0.05952032567602732, 0.1360234412695131, 0.06141363448771318, 0.006700408798942883, -0.21314008061533735, -0.02001817100831578, 0.13610968586515576, 0.02705395057977688, 0.042797121891541584, 0.04832089655176406, -0.10630523824253149, -0.09612654377293263, 0.3288946283545585, -0.07858227146977198, -0.19038507370879093, 0.10710195425939849, -0.19856362901027164, -0.11176377450371341, 0.12360485111956575, 0.11701795494844837, 0.17767842366330086, -0.10495428033473511, 0.12549410848189455, -0.1113046552505224, 0.1488325615683871, 0.07247407913523456, 0.042431411787777415, 0.14774078223854303, 0.11826268868190387, 0.10376050374508204, 0.11591399792626861, -0.05517514324146173, -0.09512601944903333, -0.382273982068704, -0.1499660681565142, -0.2143283333374007, 0.11038453706761732, -0.13637597478560975, -0.19917851396190422, 0.3078728069686481, 0.14619515024335875, 0.265417207640806, 0.10438854780119483, 0.22816242542455345, 0.17997272474777645, 0.009150350800595217, 0.12992894968708918, 0.0851497994285197, 0.12904551069931908, -0.005343340457447113, -0.16277935335247387, 0.15689902108222728, 0.06747693014180949] |
712.0106 | Hessian estimates for the sigma-2 equation in dimension three | We derive a priori interior Hessian estimates for the special Lagrangian
equation $\sigma_{2}=1$ in dimension three.
| math.AP math.DG | we derive a priori interior hessian estimates for the special lagrangian equation sigma_21 in dimension three | [['we', 'derive', 'a', 'priori', 'interior', 'hessian', 'estimates', 'for', 'the', 'special', 'lagrangian', 'equation', 'sigma_21', 'in', 'dimension', 'three']] | [-0.137605918222107, -0.03650280641159043, -0.08811580529436469, 0.13874306518118829, -0.1748475182976108, -0.17384270855109207, -0.0035528293810784817, 0.24088922422379255, -0.22210573112533893, -0.21921270864550024, 0.14294127013272373, -0.2780417843168834, -0.15085086168255657, 0.10220783170370851, -0.07131161488359794, 0.06857342040166259, 0.055513220344437286, 0.08062686919583939, -0.19881373923271894, -0.18076823258888908, 0.39875657320953906, -0.10620233690133318, 0.13617706196964718, 0.04247323441086337, 0.17093156091868877, -0.025511961488518864, 0.01995016826549545, -0.045825899578630924, -0.30126262217527255, 0.08938531798776239, 0.22715005138888955, 0.0988669902581023, 0.2493777573108673, -0.4126306956168264, -0.26044063351582736, 0.1586850630119443, 0.16090313985478133, 0.12176979216746986, -0.04934831924038008, -0.235137956449762, 0.06465869856765494, -0.0921797298360616, -0.27878308400977403, -0.08914592905784957, -0.031221284065395594, -0.009343522287963424, -0.3231790993595496, 0.10592860099859536, 0.03561538679059595, 0.05737268221855629, -0.17010685557033867, -0.20251401304267347, -0.017859935062006116, 0.06325362822826719, 0.0029576170491054654, -0.016962725814664736, 0.02189484311384149, -0.080034124199301, 0.060749430558644235, 0.3059428142150864, -0.09581175190396607, -0.4154811464250088, 0.07661507069133222, -0.12131344084627926, -0.18965874979039654, 0.11283636504231254, 0.21256123739294708, 0.20252362405881286, -0.2065730900503695, 0.16632743645459414, -0.07942064123926684, 0.07686735177412629, 0.11325439054053277, -0.03024215344339609, -0.005216260207816958, 0.06381294713355601, 0.20753120846347883, 0.0730726916808635, -0.0648800446651876, -0.14188297954387963, -0.42891028709709644, -0.1944892038591206, -0.19699241529451683, 0.10890759213361889, -0.24724985382636078, -0.1832350323384162, 0.31750974902388407, 0.07850981643423438, 0.12162560888100415, 0.06919951789313927, 0.29675854121887824, 0.17690188682172447, -0.04661372787086293, 0.17651732946978882, 0.24585749814286828, 0.19569821888580918, 0.04286516678985208, -0.13839461526367813, -0.005990139557980001, 0.3409994611865841] |
712.0107 | Morse-Novikov cohomology of locally conformally K\"ahler manifolds | A locally conformally Kahler (LCK) manifold is a complex manifold admitting a
Kahler covering, with the monodromy acting on this covering by homotheties. We
define three cohomology invariants, the Lee class, the Morse-Novikov class, and
the Bott-Chern class, of an LCK-structure. These invariants together play the
same role as the Kahler class in Kahler geometry. If these classes for two
LCK-structures coincide, the difference between these structures can be
expressed by a smooth potential, similar to the Kahler case. We show that the
Morse-Novikov class and the Bott-Chern class of a Vaisman manifold vanishes.
Moreover, for any LCK-structure on a Vaisman manifold, we prove that its
Morse-Novikov class vanishes. We show that a compact LCK-manifold $M$ with
vanishing Bott-Chern class admits a holomorphic embedding to a Hopf manifold,
if $\dim_\C M \geq 3$, a result which parallels the Kodaira embedding theorem.
| math.DG math.AG math.CV | a locally conformally kahler lck manifold is a complex manifold admitting a kahler covering with the monodromy acting on this covering by homotheties we define three cohomology invariants the lee class the morsenovikov class and the bottchern class of an lckstructure these invariants together play the same role as the kahler class in kahler geometry if these classes for two lckstructures coincide the difference between these structures can be expressed by a smooth potential similar to the kahler case we show that the morsenovikov class and the bottchern class of a vaisman manifold vanishes moreover for any lckstructure on a vaisman manifold we prove that its morsenovikov class vanishes we show that a compact lckmanifold m with vanishing bottchern class admits a holomorphic embedding to a hopf manifold if dim_c m geq 3 a result which parallels the kodaira embedding theorem | [['a', 'locally', 'conformally', 'kahler', 'lck', 'manifold', 'is', 'a', 'complex', 'manifold', 'admitting', 'a', 'kahler', 'covering', 'with', 'the', 'monodromy', 'acting', 'on', 'this', 'covering', 'by', 'homotheties', 'we', 'define', 'three', 'cohomology', 'invariants', 'the', 'lee', 'class', 'the', 'morsenovikov', 'class', 'and', 'the', 'bottchern', 'class', 'of', 'an', 'lckstructure', 'these', 'invariants', 'together', 'play', 'the', 'same', 'role', 'as', 'the', 'kahler', 'class', 'in', 'kahler', 'geometry', 'if', 'these', 'classes', 'for', 'two', 'lckstructures', 'coincide', 'the', 'difference', 'between', 'these', 'structures', 'can', 'be', 'expressed', 'by', 'a', 'smooth', 'potential', 'similar', 'to', 'the', 'kahler', 'case', 'we', 'show', 'that', 'the', 'morsenovikov', 'class', 'and', 'the', 'bottchern', 'class', 'of', 'a', 'vaisman', 'manifold', 'vanishes', 'moreover', 'for', 'any', 'lckstructure', 'on', 'a', 'vaisman', 'manifold', 'we', 'prove', 'that', 'its', 'morsenovikov', 'class', 'vanishes', 'we', 'show', 'that', 'a', 'compact', 'lckmanifold', 'm', 'with', 'vanishing', 'bottchern', 'class', 'admits', 'a', 'holomorphic', 'embedding', 'to', 'a', 'hopf', 'manifold', 'if', 'dim_c', 'm', 'geq', '3', 'a', 'result', 'which', 'parallels', 'the', 'kodaira', 'embedding', 'theorem']] | [-0.24530785505468136, 0.05977833057124157, -0.05928333924384788, 0.11187421305187266, -0.16800583072472364, -0.17801451957990033, -0.05808301316916614, 0.3563262429362273, -0.2673045883146936, -0.22599807157016852, 0.09341922922398868, -0.2340461094315876, -0.24183967676671111, 0.19960943002404427, -0.13853405971381375, -0.04828306614902377, 0.06964470817954005, 0.08823890945709803, -0.1384554251579924, -0.27785714815100243, 0.5418798901305041, -0.08442510786356733, 0.18860602778937285, 0.0860034798970446, 0.15237508650341838, -0.05241225947119186, 0.0452744901413098, 0.038098058255854994, -0.15942339034769676, 0.12607482136638068, 0.29315808040144686, 0.02821536361315178, 0.18046253711423454, -0.3020564415902995, -0.2043060609139502, 0.25404109520604834, 0.04953872937681701, -0.008345304951516856, -0.039622687099515184, -0.29061193646253636, 0.1305594792288235, -0.11765015319756725, -0.2002037287046037, -0.1174890150603674, 0.04401391450151363, -0.023255460625531507, -0.19448676787022337, -0.051664813825696265, 0.14211108877926187, 0.03162960089085733, -0.07527073192057501, -0.0656865984578069, -0.1159519115497139, 0.07578975568278967, -0.022245030423886526, 0.10410276704180219, 0.13075053586747826, -0.05656059760846855, -0.07976171927636161, 0.3332776998936692, -0.14636570621309253, -0.30879751646973413, 0.10960631685499239, -0.11543014232302085, -0.2528279342907755, 0.12325118686695692, 0.08384227225392618, 0.22075476678540273, -0.001491908179185189, 0.21868167550436576, -0.09328217669184703, 0.06414447644013255, 0.10774468100520179, 0.0010940139079192543, 0.15490826095714616, 0.07747914873899016, 0.16106998163056285, 0.10580999953312772, -0.0030896466204841785, -0.06489920752081911, -0.38733504383879547, -0.2507853241267559, -0.12005221832591548, 0.25649314844379073, -0.16629333318162345, -0.19412252639749034, 0.412061943576726, -0.06359648782595553, 0.21553301801631117, 0.18467387789945966, 0.15382616857224254, -0.007141510486048099, 0.057385610050165695, 0.11438719994005035, 0.17965220111107236, 0.20913544212646015, 0.019186315037693608, -0.11798554912777892, -0.08508908036781256, 0.21154783725711135] |
712.0108 | On the moduli of constant mean curvature cylinders of finite type in the
3-sphere | We show that one-sided Alexandrov embedded constant mean curvature cylinders
of finite type in the 3-sphere are surfaces of revolution. This confirms a
conjecture by Pinkall and Sterling that the only embedded constant mean
curvature tori in the 3-sphere are rotational.
| math.DG | we show that onesided alexandrov embedded constant mean curvature cylinders of finite type in the 3sphere are surfaces of revolution this confirms a conjecture by pinkall and sterling that the only embedded constant mean curvature tori in the 3sphere are rotational | [['we', 'show', 'that', 'onesided', 'alexandrov', 'embedded', 'constant', 'mean', 'curvature', 'cylinders', 'of', 'finite', 'type', 'in', 'the', '3sphere', 'are', 'surfaces', 'of', 'revolution', 'this', 'confirms', 'a', 'conjecture', 'by', 'pinkall', 'and', 'sterling', 'that', 'the', 'only', 'embedded', 'constant', 'mean', 'curvature', 'tori', 'in', 'the', '3sphere', 'are', 'rotational']] | [-0.26976346131414175, 0.13719752719398678, -0.05770908970749233, 0.07797993518264465, -0.05518236588232401, -0.16071446343302365, -0.0408459531552181, 0.4119135403051609, -0.2330651231019235, -0.2619643001476439, 0.12487672051846437, -0.24896470593038675, -0.1516485754861894, 0.17424792001341902, -0.18059502932720067, 0.012610219282711424, 0.053760014020088245, 0.03707276975236288, -0.046654382482080196, -0.30005753212949127, 0.37707821354724286, -0.08576983222510756, 0.16628553650182923, 0.13844944149959923, 0.0701181066858514, -0.06467917864778783, 0.020351093307864374, 0.07545114599350022, -0.2420986387328523, 0.15665316043944075, 0.13142225141750602, -0.024311551210902085, 0.19299348821954393, -0.370792674582179, -0.2765156966044032, 0.13262976974067164, 0.15190597017659102, -0.010028539111883176, -0.06209238884379951, -0.26445549908207683, 0.090082439866553, -0.06332737398220271, -0.20706289864667668, 0.0054201393320066175, 0.03144503120196665, 0.00779020368326001, -0.08372619275639696, 0.12476539895756215, 0.13719650530597058, 0.09631474194593909, -0.11397816729163979, -0.06751832268314391, -0.06655584092865266, 0.10538416752796166, 0.05092061753952649, 0.09328443708079981, 0.08852472211938442, -0.04682782600724661, -0.09289481109803224, 0.3483304336394479, -0.17166119298284374, -0.27708000203639993, 0.047347650136344316, -0.18338413846610888, -0.10234549528033268, 0.17742532391737148, 0.1285426638929582, 0.16214027624895297, -0.026648154822973218, 0.18241025843492867, -0.0941556881340902, 0.13174437199969116, 0.1257353209004533, -0.10511544471742904, 0.19490671296399542, 0.013442023361964924, 0.09357766196040845, 0.10493375397310024, -0.052297444809682486, -0.1340381625965919, -0.3455557616472971, -0.2925836406648159, -0.19062458069586172, 0.14788541097829982, -0.15327145754062946, -0.2027876941350902, 0.2860406298281216, -0.08335272695233183, 0.16477176860520026, 0.14730454502036658, 0.24514557384863134, -0.016767683007368226, 0.0488770708282728, 0.18609915859997272, 0.29011211335295584, 0.18763039261670555, -0.014397842854988284, -0.10841706362212213, -0.03877262848361236, 0.16031154786043506] |
712.0109 | Recommended Practices for Spreadsheet Testing | This paper presents the authors recommended practices for spreadsheet
testing. Documented spreadsheet error rates are unacceptable in corporations
today. Although improvements are needed throughout the systems development life
cycle, credible improvement programs must include comprehensive testing.
Several forms of testing are possible, but logic inspection is recommended for
module testing. Logic inspection appears to be feasible for spreadsheet
developers to do, and logic inspection appears to be safe and effective.
| cs.SE | this paper presents the authors recommended practices for spreadsheet testing documented spreadsheet error rates are unacceptable in corporations today although improvements are needed throughout the systems development life cycle credible improvement programs must include comprehensive testing several forms of testing are possible but logic inspection is recommended for module testing logic inspection appears to be feasible for spreadsheet developers to do and logic inspection appears to be safe and effective | [['this', 'paper', 'presents', 'the', 'authors', 'recommended', 'practices', 'for', 'spreadsheet', 'testing', 'documented', 'spreadsheet', 'error', 'rates', 'are', 'unacceptable', 'in', 'corporations', 'today', 'although', 'improvements', 'are', 'needed', 'throughout', 'the', 'systems', 'development', 'life', 'cycle', 'credible', 'improvement', 'programs', 'must', 'include', 'comprehensive', 'testing', 'several', 'forms', 'of', 'testing', 'are', 'possible', 'but', 'logic', 'inspection', 'is', 'recommended', 'for', 'module', 'testing', 'logic', 'inspection', 'appears', 'to', 'be', 'feasible', 'for', 'spreadsheet', 'developers', 'to', 'do', 'and', 'logic', 'inspection', 'appears', 'to', 'be', 'safe', 'and', 'effective']] | [-0.13601178298039096, 0.01353231884006943, -0.05159655139515443, 0.16439356912991832, -0.1872684775984713, -0.18065892702766828, 0.11254355568338983, 0.4518814252955573, -0.17963257129969343, -0.3676826233310359, 0.18218849852647898, -0.2403766815018441, -0.08777616654655764, 0.26199859776035217, -0.19747637906777007, 0.11017101156259222, 0.09315490081374134, -0.01696390514927251, -0.022556662839737587, -0.32745145625833955, 0.20797090948160205, 0.0968268558382988, 0.2694343028057899, 0.03769052849550333, -0.04995936918338495, -0.035718411054196104, -0.06507839313708245, -0.0051912619732320305, -0.08389269739356157, 0.13896816692181996, 0.4850257291325501, 0.29585074678595574, 0.3453833570703864, -0.4135034678903009, -0.10460645479283162, 0.06991078242925661, 0.14670869377441703, 0.10080756747296878, -0.005998304599363889, -0.27097239955328406, 0.060221357695159634, -0.22723084267761026, -0.06837796646951964, -0.14417481645817004, 0.06488604298959087, -0.053604410006664695, -0.2708022091471191, -0.02625654761754309, 0.03517555897789342, 0.17252323023442712, -0.012265959688271063, -0.14338783557925905, 0.033961747733077835, 0.19689591229627176, 0.059938922082073985, 0.0035535786833081925, 0.20837403879101787, -0.053111951116339436, -0.13786187700128982, 0.38992552990093826, 0.07062977280999932, -0.11353565556096977, 0.16913444922704782, -0.05246276313971196, -0.18713477749510535, 0.10589707589575223, 0.151688888057002, 0.030448876048571296, -0.23672129148783694, 0.042418744135648015, 0.09394528184618268, 0.20577401694442546, 0.08259409491771035, -0.0021263433886425835, 0.23952885017331157, 0.2335550748510286, 0.01681452493648976, 0.07749489087811005, 0.0392290614013161, -0.12322243575929731, -0.30004953700783, -0.20629192575413202, -0.05153880269333188, -0.03941731455270201, -0.0027886515113225738, -0.21283698605506549, 0.3318442430081112, 0.24321335968998029, -0.018567304592579603, 0.11661110103596002, 0.3171638582433973, 0.06800588915523674, 0.16915249550615305, 0.05370838916860521, 0.2394119956929769, -0.002775531142417874, 0.11103149899946792, -0.07987468823391412, 0.20793665845080145, -0.042520788980514874] |
712.011 | Comment on "Group method analysis of magneto-elastico-viscous flow along
a semi-infinite flat plate with heat transfer", by Helal and Abd-el-Malek | Comment on Group method analysis of magneto-elastico-viscous flow along a
semi-infinite flat plate with heat transfer,Helal and Abd-el-Malek, Journal of
Computational and Applied Mathematics 173 (2005) 199-210.
In the above paper the authors treat the boundary layer flow of a elasto-
viscous liquid along an infinite plate in the presence of a transverse magnetic
field. The plate temperature is higher than the ambient fluid temperature. The
boundary layer equations are transformed into ordinary ones using the group
theory and subsequently are solved numerically. Velocity, temperature, shear
stress and heat transfer profiles are presented for values of magnetic
parameter M=0, 0.5 and 1. This is an interesting work but there are some
fundamental errors which are presented below.
| physics.flu-dyn | comment on group method analysis of magnetoelasticoviscous flow along a semiinfinite flat plate with heat transferhelal and abdelmalek journal of computational and applied mathematics 173 2005 199210 in the above paper the authors treat the boundary layer flow of a elasto viscous liquid along an infinite plate in the presence of a transverse magnetic field the plate temperature is higher than the ambient fluid temperature the boundary layer equations are transformed into ordinary ones using the group theory and subsequently are solved numerically velocity temperature shear stress and heat transfer profiles are presented for values of magnetic parameter m0 05 and 1 this is an interesting work but there are some fundamental errors which are presented below | [['comment', 'on', 'group', 'method', 'analysis', 'of', 'magnetoelasticoviscous', 'flow', 'along', 'a', 'semiinfinite', 'flat', 'plate', 'with', 'heat', 'transferhelal', 'and', 'abdelmalek', 'journal', 'of', 'computational', 'and', 'applied', 'mathematics', '173', '2005', '199210', 'in', 'the', 'above', 'paper', 'the', 'authors', 'treat', 'the', 'boundary', 'layer', 'flow', 'of', 'a', 'elasto', 'viscous', 'liquid', 'along', 'an', 'infinite', 'plate', 'in', 'the', 'presence', 'of', 'a', 'transverse', 'magnetic', 'field', 'the', 'plate', 'temperature', 'is', 'higher', 'than', 'the', 'ambient', 'fluid', 'temperature', 'the', 'boundary', 'layer', 'equations', 'are', 'transformed', 'into', 'ordinary', 'ones', 'using', 'the', 'group', 'theory', 'and', 'subsequently', 'are', 'solved', 'numerically', 'velocity', 'temperature', 'shear', 'stress', 'and', 'heat', 'transfer', 'profiles', 'are', 'presented', 'for', 'values', 'of', 'magnetic', 'parameter', 'm0', '05', 'and', '1', 'this', 'is', 'an', 'interesting', 'work', 'but', 'there', 'are', 'some', 'fundamental', 'errors', 'which', 'are', 'presented', 'below']] | [-0.1393947991820281, 0.1715071526493391, -0.06144124173493892, -0.002301614416003423, -0.07604953698536153, -0.14185110627869635, -0.009220189337308208, 0.36159038798589455, -0.262276866563122, -0.30474389395411045, 0.1383311313989556, -0.2892124244714515, -0.06443762934864744, 0.21810283152419224, -0.033731390893655386, 0.03005700886339917, 0.012543945747893304, 0.03385340526961444, -0.07376203614515825, -0.20246233512533077, 0.3005392078122353, 0.01496801022930365, 0.29751620426970093, 0.0573065131249135, 0.0724949320092013, -0.0406063013799946, -0.01845121819918093, 0.09216924892787479, -0.17715263563992553, 0.04213764985998798, 0.22768991897822144, -0.05518580681293092, 0.23176747098516084, -0.4292690335086694, -0.24074150555718102, 0.008544292206479759, 0.10090033397519667, 0.09276843048313535, -0.03619039039589105, -0.23548383496521988, 0.05027220608960641, -0.13247641931663742, -0.1302938588257683, -0.02746136499601498, 0.025375300868242783, -0.008237499868540143, -0.20521276103528707, 0.1508031771926765, 0.06861693539918122, 0.12177936750741904, -0.12243732199963313, -0.15651148798663103, -0.06778191140722156, 0.07250379730963655, 0.08313726807797425, 0.054233493156763804, 0.1696941663935911, -0.12372950804950833, -0.013310500191884083, 0.3512651519175913, -0.05148706788244645, -0.2058032475036095, 0.1842454711114171, -0.12500525101725207, -0.0401561431333488, 0.15594317599019983, 0.1871816411679774, 0.10317371864476356, -0.13419886903526881, 0.07704055645623603, -0.033922041817915444, 0.16146765012097986, 0.11458214822127238, -0.08911995044419248, 0.1813621317698179, 0.14158465560492978, 0.036922512853746876, 0.15146080166583456, -0.07867676736350404, -0.0740969334320541, -0.3237006619915758, -0.19224645421644182, -0.1408595042655514, 0.010374900011811405, -0.1068145940359835, -0.18389938283903656, 0.3571023499601308, 0.12143336820595882, 0.15419989105277254, -0.007919087049167342, 0.2744133805104515, 0.15587541374394245, 0.007777359169139935, 0.14207054593747384, 0.24767367950800945, 0.22746174133856567, 0.16410920155855516, -0.1909342581679914, -0.012277124649763368, 0.0872201155789458] |
712.0111 | Random sampling of plane partitions | This article presents uniform random generators of plane partitions according
to the size (the number of cubes in the 3D interpretation). Combining a
bijection of Pak with the method of Boltzmann sampling, we obtain random
samplers that are slightly superlinear: the complexity is $O(n (\ln n)^3)$ in
approximate-size sampling and $O(n^{4/3})$ in exact-size sampling
(under a real-arithmetic computation model). To our knowledge, these are the
first polynomial-time samplers for plane partitions according to the size
(there exist polynomial-time samplers of another type, which draw plane
partitions that fit inside a fixed bounding box). The same principles yield
efficient samplers for $(a\times b)$-boxed plane partitions (plane partitions
with two dimensions bounded), and for skew plane partitions. The random
samplers allow us to perform simulations and observe limit shapes and frozen
boundaries, which have been analysed recently by Cerf and Kenyon for plane
partitions, and by Okounkov and Reshetikhin for skew plane partitions.
| math.CO | this article presents uniform random generators of plane partitions according to the size the number of cubes in the 3d interpretation combining a bijection of pak with the method of boltzmann sampling we obtain random samplers that are slightly superlinear the complexity is on ln n3 in approximatesize sampling and on43 in exactsize sampling under a realarithmetic computation model to our knowledge these are the first polynomialtime samplers for plane partitions according to the size there exist polynomialtime samplers of another type which draw plane partitions that fit inside a fixed bounding box the same principles yield efficient samplers for atimes bboxed plane partitions plane partitions with two dimensions bounded and for skew plane partitions the random samplers allow us to perform simulations and observe limit shapes and frozen boundaries which have been analysed recently by cerf and kenyon for plane partitions and by okounkov and reshetikhin for skew plane partitions | [['this', 'article', 'presents', 'uniform', 'random', 'generators', 'of', 'plane', 'partitions', 'according', 'to', 'the', 'size', 'the', 'number', 'of', 'cubes', 'in', 'the', '3d', 'interpretation', 'combining', 'a', 'bijection', 'of', 'pak', 'with', 'the', 'method', 'of', 'boltzmann', 'sampling', 'we', 'obtain', 'random', 'samplers', 'that', 'are', 'slightly', 'superlinear', 'the', 'complexity', 'is', 'on', 'ln', 'n3', 'in', 'approximatesize', 'sampling', 'and', 'on43', 'in', 'exactsize', 'sampling', 'under', 'a', 'realarithmetic', 'computation', 'model', 'to', 'our', 'knowledge', 'these', 'are', 'the', 'first', 'polynomialtime', 'samplers', 'for', 'plane', 'partitions', 'according', 'to', 'the', 'size', 'there', 'exist', 'polynomialtime', 'samplers', 'of', 'another', 'type', 'which', 'draw', 'plane', 'partitions', 'that', 'fit', 'inside', 'a', 'fixed', 'bounding', 'box', 'the', 'same', 'principles', 'yield', 'efficient', 'samplers', 'for', 'atimes', 'bboxed', 'plane', 'partitions', 'plane', 'partitions', 'with', 'two', 'dimensions', 'bounded', 'and', 'for', 'skew', 'plane', 'partitions', 'the', 'random', 'samplers', 'allow', 'us', 'to', 'perform', 'simulations', 'and', 'observe', 'limit', 'shapes', 'and', 'frozen', 'boundaries', 'which', 'have', 'been', 'analysed', 'recently', 'by', 'cerf', 'and', 'kenyon', 'for', 'plane', 'partitions', 'and', 'by', 'okounkov', 'and', 'reshetikhin', 'for', 'skew', 'plane', 'partitions']] | [-0.10968497512241204, 0.12050295339897275, -0.0856649884286647, 0.05992648545652628, -0.08396370477198313, -0.12616935550856093, 0.10338549127957473, 0.3791967554452519, -0.2638860623259097, -0.3007023086414362, 0.07331893655859555, -0.26608904398977756, -0.09354856626441081, 0.18465123380689571, -0.08902361993968952, 0.06380263794523974, 0.051623044040364524, -0.0579337480214114, -0.045179085404767345, -0.301704376200214, 0.26985154893094054, 0.005750071598837773, 0.2864928632726272, -0.04958383346015277, 0.08905161381543925, 0.04333087678688268, -0.021848576432093977, 0.0477962923196416, -0.20233971418550936, 0.10405111021207025, 0.22366988393943757, 0.12722020543180407, 0.19017856644156078, -0.3841708324900052, -0.13157633423397783, 0.14025415639082592, 0.17596165692433716, 0.06939797883387655, -0.03629179149943714, -0.23412978847511112, 0.07375055914744735, -0.10094932962829868, -0.1266717867863675, -0.06587368097156286, 0.02584730284133305, 0.07477635513370236, -0.2883662560582161, -0.004461298181364933, 0.11402538219001145, 0.0680235571290056, 0.024560509308551748, -0.1835658531418691, 0.0018745040940120817, 0.08401040011784061, -0.037512571077483396, 0.07382373689984281, 0.034040876425181825, -0.04839085556489105, -0.18525046762079, 0.33279150374156113, 0.07586579009890557, -0.2737315332928362, 0.14074381914377834, -0.1620526173353816, -0.17817610683540502, 0.16375194820730637, 0.142719549521183, 0.10552767168730498, -0.09116496847340992, 0.14136966045363805, -0.11168325795481603, 0.10397780230889718, 0.15206501654038826, -0.04740877924486995, 0.15888553599400135, 0.08935130036436022, 0.09968223236248984, 0.22594335078882674, -0.06545736141037196, -0.1584903359413147, -0.24360010005844135, -0.13695467649027704, -0.21242105894411603, 0.005983765653024117, -0.17552081786028187, -0.22398524519987403, 0.3366367989095549, 0.15541862819499025, 0.2129985933812956, 0.14808521170634775, 0.252019098867507, 0.0688206366674664, 0.04800542635687937, 0.0799905284276853, 0.10054701626029176, 0.16482363367763658, 0.02037178033652405, -0.11821997350353437, 0.05782895369299998, 0.1566215619308059] |
712.0112 | Atomic Diagnostics of X-ray Irradiated Protoplanetary Disks | We study atomic line diagnostics of the inner regions of protoplanetary disks
with our model of X-ray irradiated disk atmospheres which was previously used
to predict observable levels of the NeII and NeIII fine-structure transitions
at 12.81 and 15.55mum. We extend the X-ray ionization theory to sulfur and
calculate the fraction of sulfur in S, S+, S2+ and sulfur molecules. For the
D'Alessio generic T Tauri star disk, we find that the SI fine-structure line at
25.55mum is below the detection level of the Spitzer Infrared Spectrometer
(IRS), in large part due to X-ray ionization of atomic S at the top of the
atmosphere and to its incorporation into molecules close to the mid-plane. We
predict that observable fluxes of the SII 6718/6732AA forbidden transitions are
produced in the upper atmosphere at somewhat shallower depths and smaller radii
than the neon fine-structure lines. This and other forbidden line transitions,
such as the OI 6300/6363AA and the CI 9826/9852AA lines, serve as complementary
diagnostics of X-ray irradiated disk atmospheres. We have also analyzed the
potential role of the low-excitation fine-structure lines of CI, CII, and OI,
which should be observable by SOFIA and Herschel.
| astro-ph | we study atomic line diagnostics of the inner regions of protoplanetary disks with our model of xray irradiated disk atmospheres which was previously used to predict observable levels of the neii and neiii finestructure transitions at 1281 and 1555mum we extend the xray ionization theory to sulfur and calculate the fraction of sulfur in s s s2 and sulfur molecules for the dalessio generic t tauri star disk we find that the si finestructure line at 2555mum is below the detection level of the spitzer infrared spectrometer irs in large part due to xray ionization of atomic s at the top of the atmosphere and to its incorporation into molecules close to the midplane we predict that observable fluxes of the sii 67186732aa forbidden transitions are produced in the upper atmosphere at somewhat shallower depths and smaller radii than the neon finestructure lines this and other forbidden line transitions such as the oi 63006363aa and the ci 98269852aa lines serve as complementary diagnostics of xray irradiated disk atmospheres we have also analyzed the potential role of the lowexcitation finestructure lines of ci cii and oi which should be observable by sofia and herschel | [['we', 'study', 'atomic', 'line', 'diagnostics', 'of', 'the', 'inner', 'regions', 'of', 'protoplanetary', 'disks', 'with', 'our', 'model', 'of', 'xray', 'irradiated', 'disk', 'atmospheres', 'which', 'was', 'previously', 'used', 'to', 'predict', 'observable', 'levels', 'of', 'the', 'neii', 'and', 'neiii', 'finestructure', 'transitions', 'at', '1281', 'and', '1555mum', 'we', 'extend', 'the', 'xray', 'ionization', 'theory', 'to', 'sulfur', 'and', 'calculate', 'the', 'fraction', 'of', 'sulfur', 'in', 's', 's', 's2', 'and', 'sulfur', 'molecules', 'for', 'the', 'dalessio', 'generic', 't', 'tauri', 'star', 'disk', 'we', 'find', 'that', 'the', 'si', 'finestructure', 'line', 'at', '2555mum', 'is', 'below', 'the', 'detection', 'level', 'of', 'the', 'spitzer', 'infrared', 'spectrometer', 'irs', 'in', 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0.11695349056204345, 0.053179958827813414, 0.0744628264033731, 0.008580178277507584, -0.10468315396041787, 0.08018990237689379, 0.46664532890265925, -0.16605401298704933, -0.3172784004821145, 0.021150399933871317, -0.3053948777688152, 0.012267341123933488, 0.13427116012973514, 0.03709060989538247, -0.018614575221324637, -0.011955619967998342, -0.14246490791915578, -0.008505802346452911, -0.1936877847208265, 0.3014551314148814, 0.12442340072680344, 0.10941943829319381, 0.08772781628748759, -0.019965111178920626, -0.1538997746662217, -0.044313533406239, -0.03140236655785207, -0.16945363032704955, 0.09879150171206888, 0.26814002297977185, 0.09879628547462338, 0.1381585727726912, -0.38893591272743777, -0.20505865637096576, 0.05556014280994125, 0.14475193702209582, 0.021672224260599133, 0.035943280236716287, -0.2743805733786777, 0.012847872232359418, -0.10134412806500938, -0.15091324427432598, 0.038643804823415, 0.06925913168642511, 0.01562027360109533, -0.2429456361321772, 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712.0113 | Triaxial orbit based galaxy models with an application to the (apparent)
decoupled core galaxy NGC 4365 | We present a flexible and efficient method to construct triaxial dynamical
models of galaxies with a central black hole, using Schwarzschild's orbital
superposition approach. Our method is general and can deal with realistic
luminosity distributions, which project to surface brightness distributions
that may show position angle twists and ellipticity variations. The models are
fit to measurements of the full line-of-sight velocity distribution (wherever
available). We verify that our method is able to reproduce theoretical
predictions of a three-integral triaxial Abel model. In a companion paper (van
de Ven, de Zeeuw & van den Bosch), we demonstrate that the method recovers the
phase-space distribution function. We apply our method to two-dimensional
observations of the E3 galaxy NGC 4365, obtained with the integral-field
spectrograph SAURON, and study its internal structure, showing that the
observed kinematically decoupled core is not physically distinct from the main
body and the inner region is close to oblate axisymmetric.
| astro-ph | we present a flexible and efficient method to construct triaxial dynamical models of galaxies with a central black hole using schwarzschilds orbital superposition approach our method is general and can deal with realistic luminosity distributions which project to surface brightness distributions that may show position angle twists and ellipticity variations the models are fit to measurements of the full lineofsight velocity distribution wherever available we verify that our method is able to reproduce theoretical predictions of a threeintegral triaxial abel model in a companion paper van de ven de zeeuw van den bosch we demonstrate that the method recovers the phasespace distribution function we apply our method to twodimensional observations of the e3 galaxy ngc 4365 obtained with the integralfield spectrograph sauron and study its internal structure showing that the observed kinematically decoupled core is not physically distinct from the main body and the inner region is close to oblate axisymmetric | [['we', 'present', 'a', 'flexible', 'and', 'efficient', 'method', 'to', 'construct', 'triaxial', 'dynamical', 'models', 'of', 'galaxies', 'with', 'a', 'central', 'black', 'hole', 'using', 'schwarzschilds', 'orbital', 'superposition', 'approach', 'our', 'method', 'is', 'general', 'and', 'can', 'deal', 'with', 'realistic', 'luminosity', 'distributions', 'which', 'project', 'to', 'surface', 'brightness', 'distributions', 'that', 'may', 'show', 'position', 'angle', 'twists', 'and', 'ellipticity', 'variations', 'the', 'models', 'are', 'fit', 'to', 'measurements', 'of', 'the', 'full', 'lineofsight', 'velocity', 'distribution', 'wherever', 'available', 'we', 'verify', 'that', 'our', 'method', 'is', 'able', 'to', 'reproduce', 'theoretical', 'predictions', 'of', 'a', 'threeintegral', 'triaxial', 'abel', 'model', 'in', 'a', 'companion', 'paper', 'van', 'de', 'ven', 'de', 'zeeuw', 'van', 'den', 'bosch', 'we', 'demonstrate', 'that', 'the', 'method', 'recovers', 'the', 'phasespace', 'distribution', 'function', 'we', 'apply', 'our', 'method', 'to', 'twodimensional', 'observations', 'of', 'the', 'e3', 'galaxy', 'ngc', '4365', 'obtained', 'with', 'the', 'integralfield', 'spectrograph', 'sauron', 'and', 'study', 'its', 'internal', 'structure', 'showing', 'that', 'the', 'observed', 'kinematically', 'decoupled', 'core', 'is', 'not', 'physically', 'distinct', 'from', 'the', 'main', 'body', 'and', 'the', 'inner', 'region', 'is', 'close', 'to', 'oblate', 'axisymmetric']] | [-0.06461219087440447, 0.0032199650913452274, -0.17370529644289948, 0.08630167199483771, -0.1155319142568585, -0.11450715868237324, -0.050524459912022264, 0.4134906656324666, -0.1786066350089201, -0.3274115088630147, 0.011286794199509584, -0.25510889209732907, -0.12430565579454546, 0.20892523454705758, -0.07491234374954982, 0.02526475815372295, 0.08412181994907052, -0.09687408655635174, -0.07212978859265513, -0.23224652400826234, 0.32171392162632667, 0.07211988149149133, 0.22493120914615, -0.056157148992087666, 0.08768779543900726, -0.025699526226511903, -0.023356315818621427, 0.0039068637585378445, -0.2016283536512198, 0.10315573967943918, 0.21180565311907465, 0.10227600252564183, 0.19431767699197675, -0.344123610548231, -0.18754399696747395, 0.03611227691124212, 0.16926850892128484, 0.12895058729109163, -0.05664303707150089, -0.30436438016766154, 0.0757567795172383, -0.22639467286420925, -0.23022926985039469, -0.05451847697663682, 0.023070863488173447, 0.04135385074109974, -0.24172664952613968, 0.13905820005961897, 0.02694153593909396, 0.018854312513899428, -0.13652342852183452, -0.09340901833894164, -0.07856145628345575, 0.06554256177612192, -0.006907605927665749, 0.06338156636539131, 0.1666410010437549, -0.05852982796272201, -0.02044173462519928, 0.3600445774858756, -0.0530250131342227, -0.12802750170415897, 0.19071725978583887, -0.20633044655416286, -0.1319268748614419, 0.09201644517061923, 0.15467131751996546, 0.12045847748665275, -0.12960995931451252, 0.06288214799268048, -0.061235175690064765, 0.19211792680342368, 0.033015977195001496, -0.06500414707680581, 0.2668088437952348, 0.07740002053339552, 0.01437911061903104, 0.10543589877421099, -0.1760129581100696, -0.09591015069383128, -0.2689662196839981, -0.10018887258264304, -0.16988800588181083, 0.01484595629741632, -0.0873978454892374, -0.16004443972908108, 0.3508331171662504, 0.130185593823156, 0.22877548383826402, 0.0802534338979618, 0.33771135964868776, 0.04992447401680644, 0.06022081547725132, 0.09846651668518486, 0.27013545878237694, 0.17649605073534347, 0.05329751501488962, -0.2360704984648511, 0.017597519515069906, 0.03287544974206102] |
712.0114 | Similarity of operators and geometry of eigenvector bundles | We characterize the contractions that are similar to the backward shift in
the Hardy space $H^2$. This characterization is given in terms of the geometry
of the eigenvector bundles of the operators.
| math.FA math.CV math.DG | we characterize the contractions that are similar to the backward shift in the hardy space h2 this characterization is given in terms of the geometry of the eigenvector bundles of the operators | [['we', 'characterize', 'the', 'contractions', 'that', 'are', 'similar', 'to', 'the', 'backward', 'shift', 'in', 'the', 'hardy', 'space', 'h2', 'this', 'characterization', 'is', 'given', 'in', 'terms', 'of', 'the', 'geometry', 'of', 'the', 'eigenvector', 'bundles', 'of', 'the', 'operators']] | [-0.15669704298488796, 0.08853283957250824, -0.01957229513209313, 0.06787380274545285, -0.03691033472568961, 0.02194437215803191, -0.020714893471449614, 0.37147917365655303, -0.32607965427450836, -0.15421936552593252, 0.13625290693744319, -0.28981386017403565, -0.15768695424776524, 0.14887849471415393, -0.1158977018785663, -0.005578686512308195, 0.0071931911807041615, 0.061569680576212704, -0.14604395586502505, -0.20513216243125498, 0.43770906003192067, 0.036909348928020336, 0.20528970009763725, 0.038827915443107486, 0.03916096323519014, -0.02459539327537641, -0.05066003659158014, -0.04307668736237247, -0.13808035633087457, 0.23134093391126953, 0.2440218284027651, 0.12448104924988002, 0.23515020043123513, -0.35728146991459653, -0.15938161127269268, 0.19270390749443322, 0.11570806476811413, 0.026732934806204867, 0.03151357872411609, -0.28441776713589206, 0.05748840687738266, -0.06532495887950063, -0.12377225555246696, -0.07295405262266286, 0.010621035995427519, 0.05423587196855806, -0.24349062121473253, 0.04140242347784806, 0.09764594252919778, 0.03258956887293607, -0.13835410082538147, -0.060268367727985606, -0.06634842263883911, 0.12064332726004068, -0.0017817853731685318, 0.021884045825572684, 0.10356145376863424, -0.08912311274616513, -0.13184157604700886, 0.363382866489701, -0.09751341387163848, -0.2584842050127918, 0.11408995612873696, -0.2569079422100913, -0.10173788286920171, 0.13141753704985604, 0.1415912024967838, 0.17478883035073522, -0.0905600092955865, 0.1173325938580092, -0.08974047341325786, 0.0726438103010878, 0.07959891292557586, 0.06950298162701074, 0.052065456460695714, 0.09210002166219056, 0.1376553729205625, 0.14715304851415567, -0.03297541948222715, -0.11156539877993055, -0.37893308690399863, -0.2662768875597976, -0.14175531077489723, 0.043623494944768026, -0.12966364491148852, -0.18219401501846733, 0.43728616191947367, 0.09917765928548761, 0.2774080848212179, 0.035412166733294725, 0.22824741166550666, 0.16956779651809484, 0.08729933633003384, 0.03487943173968233, 0.272323074277665, 0.21063164301449433, 0.09797432768391445, -0.21641243917110842, 0.03277837210043799, 0.1672173649421893] |
712.0115 | Vertical stratified turbulent transport mechanism indicated by remote
sensing | Satellite and shipboard data reveal the intermittent vertical information
transport mechanism of turbulence and internal waves that mixes the ocean,
atmosphere, planets and stars.
| astro-ph | satellite and shipboard data reveal the intermittent vertical information transport mechanism of turbulence and internal waves that mixes the ocean atmosphere planets and stars | [['satellite', 'and', 'shipboard', 'data', 'reveal', 'the', 'intermittent', 'vertical', 'information', 'transport', 'mechanism', 'of', 'turbulence', 'and', 'internal', 'waves', 'that', 'mixes', 'the', 'ocean', 'atmosphere', 'planets', 'and', 'stars']] | [-0.2204623993796607, 0.28868676551307243, -0.05561610831258198, 0.1636956195385816, -0.1671278498445948, 0.0007038856856524944, 0.07341952781037737, 0.270717135630548, -0.2893167237440745, -0.3429879922575007, 0.06577530953412254, -0.30067237683882314, -0.11821078757445018, 0.23511986481025815, -0.0044888117505858345, 0.012428355097654276, 0.16998985898680985, -0.13801532942064418, 0.11812066625376853, -0.1487342925838675, 0.3098037894427155, 0.1393320981102685, 0.20910811719174185, -0.04098019073717296, 0.12989572102378588, -0.14777538322474962, -0.10267036439230044, -0.13228401464099684, -0.1678252949996022, 0.011605318955844268, 0.1809900826580512, 0.09065932941545422, 0.13631890359101817, -0.5697854083652297, -0.3586486711865291, -0.04727360532463839, 0.16994732075060406, 0.01906847534701228, -0.06642884819302708, -0.2562017336022109, -0.010105971169347564, -0.16396714001893997, -0.10667650079509865, -0.00870221269239361, 0.0248130212421529, 0.052775904846688114, -0.300102493337666, 0.10980052495627508, 0.1451781829042981, 0.1870741785193483, -0.1553966193071877, -0.04287107536219992, -0.254497953709991, 0.09333949411908786, 0.09076688935359319, 0.00943271559178053, 0.24548933724872768, -0.1336432439663137, 0.023216767779861886, 0.3891636064896981, -0.13696743438291983, -0.0707569180522114, 0.2284050240026166, -0.19908058200962842, -0.06230356334708631, 0.15669469581916928, 0.21913482807576656, 0.008515987234810988, -0.12555869005154818, -0.04320695554633858, -0.06473373000820477, 0.1534748135600239, 0.09195823839399964, 0.06261305557563901, 0.37564646747584146, 0.15752011393972984, 0.10726295054579775, 0.0018917306636770566, -0.2698740774843221, -0.1006346827634843, -0.09793883748352528, -0.14976789475379823, -0.09733056727175911, -0.04762444753820697, -0.09104240365377336, -0.1312339917446176, 0.36000395255784196, 0.18024595570750535, 0.07128972377783309, -0.02764693175170881, 0.36069368415822584, 0.03532993339467794, 0.023521901263544958, 0.25140362170835334, 0.265895985532552, 0.1960103459811459, 0.2093772095395252, -0.27970797118420404, 0.12047781385869409, -0.07929618136646847] |
712.0116 | Generalized Cohn's Theorem | We introduce the notion of a free associative $\mathcal{Z}_2$-algebra on the
union of two disjoint sets and prove a generalization of Cohn's Theorem on
Jordan algebras.
| math.RA | we introduce the notion of a free associative mathcalz_2algebra on the union of two disjoint sets and prove a generalization of cohns theorem on jordan algebras | [['we', 'introduce', 'the', 'notion', 'of', 'a', 'free', 'associative', 'mathcalz_2algebra', 'on', 'the', 'union', 'of', 'two', 'disjoint', 'sets', 'and', 'prove', 'a', 'generalization', 'of', 'cohns', 'theorem', 'on', 'jordan', 'algebras']] | [-0.19221529334783555, 0.0478054104372859, -0.05504979318007827, 0.06357811987400055, -0.05440620370209217, -0.11921829994767905, 0.04610763415694237, 0.2604230958223343, -0.364212811589241, -0.1398285092972219, 0.09258591992780567, -0.2592093750834465, -0.11300826489925385, 0.22720068238675595, -0.22352801993489266, -0.0923696894198656, 0.12158585252705961, 0.14072997316718103, -0.08789788477122784, -0.26643286081962286, 0.46248925652354955, -0.1381240346748382, 0.27463346552103757, 0.07787154223769903, 0.17354554856196047, 0.09021006319671869, -0.06857912132516503, 0.042432421147823335, -0.22467499420046808, 0.19209917321801184, 0.20209987439215182, 0.177957776626572, 0.29264368504285815, -0.35582003876566887, -0.08351018089801072, 0.21380233973264695, 0.1030907678604126, -0.011701868744567037, 0.03780249649658799, -0.23355329245328904, 0.07840647265315055, -0.20770673125982284, -0.07932325339876116, -0.03278745487332344, 0.024529246091842653, -0.007526196092367172, -0.22477269615978002, 0.004221351891756058, 0.18763469219207762, 0.14962651977606584, -0.13276443153619766, -0.06669207897037267, -0.021169293196871875, -0.008918504156172275, -0.12479634620249272, -0.019562178887426854, 0.05910530442371965, 0.043418235778808593, -0.20833622574806213, 0.33056644424796106, -0.012107357308268547, -0.25732845813035965, 0.16649816505610943, -0.10858806242060381, -0.19719570748507975, -0.03983158419607207, 0.09671803586184978, 0.1106928113102913, -0.04941450353711843, 0.20057486980920658, -0.19030781656503679, -0.01792981371283531, 0.19000475715845824, 0.04814395010471344, 0.1736931809782982, 0.11606291234493256, 0.08826280139386654, 0.24375072315335275, 0.06447081008926034, -0.04432874150574207, -0.37495117366313935, -0.1728125535324216, -0.14089489236474037, 0.1465370674058795, -0.1613469961838564, -0.30486161440610887, 0.42975705236196515, 0.06883603053167463, 0.17547138392925263, 0.18921584684401752, 0.21238542787730694, -0.015728101804852485, 0.1284069513529539, 0.05954470798373222, 0.10204911790788174, 0.2610286077670753, -0.04749803137034178, -0.0650169536517933, -0.07274104231968521, 0.31098531603813173] |
712.0117 | Color superconducting quark matter in compact stars | Recent indications for high neutron star masses (M \sim 2 M_sun) and large
radii (R > 12 km) could rule out soft equations of state and have provoked a
debate whether the occurence of quark matter in compact stars can be excluded
as well. We show that modern quantum field theoretical approaches to quark
matter including color superconductivity and a vector meanfield allow a
microscopic description of hybrid stars which fulfill the new, strong
constraints. For these objects color superconductivity turns out to be an
essential ingredient for a successful description of the cooling phenomenology
in accordance with recently developed tests. We discuss the energy release in
the neutrino untrapping transition as a new aspect of the problem that hybrid
stars masquerade themselves as neutron stars. Quark matter searches in future
generations of low-temperature/high-density nucleus-nucleus collision
experiments such as low-energy RHIC and CBM @ FAIR might face the same problem
of an almost crossover behavior of the deconfinement transition. Therefore,
diagnostic tools shall be derived from effects of color superconductivity.
| nucl-th | recent indications for high neutron star masses m sim 2 m_sun and large radii r 12 km could rule out soft equations of state and have provoked a debate whether the occurence of quark matter in compact stars can be excluded as well we show that modern quantum field theoretical approaches to quark matter including color superconductivity and a vector meanfield allow a microscopic description of hybrid stars which fulfill the new strong constraints for these objects color superconductivity turns out to be an essential ingredient for a successful description of the cooling phenomenology in accordance with recently developed tests we discuss the energy release in the neutrino untrapping transition as a new aspect of the problem that hybrid stars masquerade themselves as neutron stars quark matter searches in future generations of lowtemperaturehighdensity nucleusnucleus collision experiments such as lowenergy rhic and cbm fair might face the same problem of an almost crossover behavior of the deconfinement transition therefore diagnostic tools shall be derived from effects of color superconductivity | [['recent', 'indications', 'for', 'high', 'neutron', 'star', 'masses', 'm', 'sim', '2', 'm_sun', 'and', 'large', 'radii', 'r', '12', 'km', 'could', 'rule', 'out', 'soft', 'equations', 'of', 'state', 'and', 'have', 'provoked', 'a', 'debate', 'whether', 'the', 'occurence', 'of', 'quark', 'matter', 'in', 'compact', 'stars', 'can', 'be', 'excluded', 'as', 'well', 'we', 'show', 'that', 'modern', 'quantum', 'field', 'theoretical', 'approaches', 'to', 'quark', 'matter', 'including', 'color', 'superconductivity', 'and', 'a', 'vector', 'meanfield', 'allow', 'a', 'microscopic', 'description', 'of', 'hybrid', 'stars', 'which', 'fulfill', 'the', 'new', 'strong', 'constraints', 'for', 'these', 'objects', 'color', 'superconductivity', 'turns', 'out', 'to', 'be', 'an', 'essential', 'ingredient', 'for', 'a', 'successful', 'description', 'of', 'the', 'cooling', 'phenomenology', 'in', 'accordance', 'with', 'recently', 'developed', 'tests', 'we', 'discuss', 'the', 'energy', 'release', 'in', 'the', 'neutrino', 'untrapping', 'transition', 'as', 'a', 'new', 'aspect', 'of', 'the', 'problem', 'that', 'hybrid', 'stars', 'masquerade', 'themselves', 'as', 'neutron', 'stars', 'quark', 'matter', 'searches', 'in', 'future', 'generations', 'of', 'lowtemperaturehighdensity', 'nucleusnucleus', 'collision', 'experiments', 'such', 'as', 'lowenergy', 'rhic', 'and', 'cbm', 'fair', 'might', 'face', 'the', 'same', 'problem', 'of', 'an', 'almost', 'crossover', 'behavior', 'of', 'the', 'deconfinement', 'transition', 'therefore', 'diagnostic', 'tools', 'shall', 'be', 'derived', 'from', 'effects', 'of', 'color', 'superconductivity']] | [-0.07521457111875633, 0.22762239955642405, -0.12409287789407114, 0.1358479605210404, -0.10585561381864869, -0.11311271044977768, 0.06498839507509625, 0.3268456866708166, -0.18628021655325405, -0.31713143644943653, 0.03275911152797813, -0.2841788928141583, -0.03163576490541329, 0.1607739335737431, -0.00970898646984004, 0.05602416227722239, 0.056358483882096716, 0.022210297006054106, -0.08336353205523626, -0.23221663359767328, 0.31084819967178123, 0.03413328156084335, 0.22267414573247163, 0.11510225766321677, 0.04013743636272931, -0.04085058865658827, 0.008634501240009855, 0.009560819690165942, -0.14322291654811733, 0.0017939018277997921, 0.2890556455665815, 0.11256804242785909, 0.19061175673854297, -0.4122566996488377, -0.22882959715294243, 0.09172214041491915, 0.1609519379531329, 0.09483862653148813, -0.11819796911705686, -0.2693604642893383, 0.08838418354858885, -0.2330295708041616, -0.17282876980206566, -0.09237625491721722, 0.01412056487340837, 0.005343586363980245, -0.2742139540924997, 0.0776712226522473, 0.04500620930753983, 0.04032297182025131, -0.062138273589128996, -0.17170815989040508, -0.005690242867905669, 0.054878869785475515, 0.05410213417702628, 0.06792698808371307, 0.1404706799818348, -0.20001053260527774, -0.11221475341541325, 0.42524385212468885, -0.057360418753288574, -0.04939536437947124, 0.18772872315279157, -0.14083134460828997, -0.16788637268351403, 0.08843562098270182, 0.1688832029097987, 0.12705074587256876, -0.19104041441059308, 0.020223684420719923, -0.031150290262913275, 0.1698626066686329, 0.0422451774893652, 0.08335500597412848, 0.3613127308959019, 0.22629839421143969, 0.009000437896040653, 0.0366114417019908, -0.11436736452515923, -0.07908191019948015, -0.325043265473566, -0.11568435545854583, -0.1282345230027498, 0.054449936566026716, -0.08336433821774651, -0.12302745030189079, 0.3214797773398459, 0.12965903916705712, 0.19288899819854602, -0.03260649259349967, 0.25523710064868815, 0.07111272811582925, 0.07941558741069327, 0.06570239740418281, 0.3028691113552826, 0.18178786902303645, 0.13016192233022636, -0.2367059237820035, 0.006947857201584575, 0.041853595837326105] |
712.0118 | Reanalysis of the (0^+,1^+) states B_{s0} and B_{s1} with QCD sum rules | In this article, we calculate the masses and decay constants of the $P$-wave
strange-bottomed mesons $B_{s0}$ and $B_{s1}$ with the QCD sum rules, and
observe that the central values of the masses of the $B_{s0}$ and $B_{s1}$ are
smaller than the corresponding $BK$ and $B^*K$ thresholds respectively, the
strong decays $B_{s0}\to BK$ and $B_{s1}\to B^*K$ are kinematically forbidden.
They can decay through the isospin violation precesses $B_{s0}\to B_s\eta\to
B_s\pi^0$ and $B_{s1}\to B_s^*\eta\to B_s^*\pi^0$. The bottomed mesons $B_{s0}$
and $B_{s1}$, just like their charmed cousins $D_{s0}(2317)$ and
$D_{s1}(2460)$, maybe very narrow.
| hep-ph | in this article we calculate the masses and decay constants of the pwave strangebottomed mesons b_s0 and b_s1 with the qcd sum rules and observe that the central values of the masses of the b_s0 and b_s1 are smaller than the corresponding bk and bk thresholds respectively the strong decays b_s0to bk and b_s1to bk are kinematically forbidden they can decay through the isospin violation precesses b_s0to b_setato b_spi0 and b_s1to b_setato b_spi0 the bottomed mesons b_s0 and b_s1 just like their charmed cousins d_s02317 and d_s12460 maybe very narrow | [['in', 'this', 'article', 'we', 'calculate', 'the', 'masses', 'and', 'decay', 'constants', 'of', 'the', 'pwave', 'strangebottomed', 'mesons', 'b_s0', 'and', 'b_s1', 'with', 'the', 'qcd', 'sum', 'rules', 'and', 'observe', 'that', 'the', 'central', 'values', 'of', 'the', 'masses', 'of', 'the', 'b_s0', 'and', 'b_s1', 'are', 'smaller', 'than', 'the', 'corresponding', 'bk', 'and', 'bk', 'thresholds', 'respectively', 'the', 'strong', 'decays', 'b_s0to', 'bk', 'and', 'b_s1to', 'bk', 'are', 'kinematically', 'forbidden', 'they', 'can', 'decay', 'through', 'the', 'isospin', 'violation', 'precesses', 'b_s0to', 'b_setato', 'b_spi0', 'and', 'b_s1to', 'b_setato', 'b_spi0', 'the', 'bottomed', 'mesons', 'b_s0', 'and', 'b_s1', 'just', 'like', 'their', 'charmed', 'cousins', 'd_s02317', 'and', 'd_s12460', 'maybe', 'very', 'narrow']] | [-0.11546619860141465, 0.3282682890572135, -0.06270686949582331, 0.16319292611468666, -0.0691437371064689, -0.16101613214888263, 0.11138030933608625, 0.28003903269098046, -0.16321306125250426, -0.1325713638634829, -0.01611776446552131, -0.37822623180455706, 0.0874397482806712, 0.06654857255497508, 0.15414569418082077, 0.10873152744015181, 0.06528594786447756, -0.006632381045583929, -0.052607524537041865, -0.15076611435637297, 0.26107485965940724, -0.11144054274001483, 0.11612554528133086, 0.1427465721577657, -0.11137521186362156, -0.04443166253753425, -0.025092628308352124, -0.17128389588756004, -0.20786409528726213, -0.013218188647892369, 0.15654312484384922, 0.11541390516324325, 0.06664264212582219, -0.2614596275235997, 0.06396945640366274, 0.17561432424137433, 0.25117427182875657, 0.07100502987591069, 0.05465784674154574, -0.46104664503586257, 0.17718366197090638, -0.1568064789779568, -0.05530942242927431, -0.14450065981010707, 0.06782398808203387, -0.09072458421748676, -0.33873587335574995, 0.14026467840114, -0.07642261848949795, -0.0026912124267664183, -0.011674852264793903, -0.36394486751595745, -0.04803480814587785, -0.02834857005123677, 0.15089213882122984, 0.10950368107819741, 0.16556873791484852, -0.13564796774486507, -0.14978049685027492, 0.4501408128842209, -0.07266018738308948, -0.11961343132935234, 0.08818528637959716, -0.18648089631722214, -0.11934630231659733, 0.12313567944331451, 0.1850147953759251, 0.0769360528269971, -0.1589046646683906, 0.10459214028787245, -0.04918196198813031, 0.16046147723682225, 0.12284084433543213, 0.18383383676095794, 0.15994268806462877, 0.09587858001481783, -0.10487362760213319, -0.008443850563483292, -0.05961951024286198, -0.06766902652747009, -0.35680132458677116, -0.10596925587121271, 0.019560445114457457, 0.10330332349985838, -0.061751365644453104, -0.018488933572943293, 0.34722090976867365, -0.05015160186279021, 0.3111085486706226, 0.05654145765191551, 0.3025531749021304, 0.08573179557563716, 0.06730175845774958, 0.14551656052805065, 0.3641283783690188, 0.3202635394513942, 0.14882035766927043, -0.3877180802604456, 0.004303507543472427, 0.00869592164088501] |
712.0119 | Measurement of Ultrafast Carrier Dynamics in Epitaxial Graphene | Using ultrafast optical pump-probe spectroscopy, we have measured carrier
relaxation times in epitaxial graphene layers grown on SiC wafers. We find two
distinct time scales associated with the relaxation of nonequilibrium
photogenerated carriers. An initial fast relaxation transient in the 70-120 fs
range is followed by a slower relaxation process in the 0.4-1.7 ps range. The
slower relaxation time is found to be inversely proportional to the degree of
crystalline disorder in the graphene layers as measured by Raman spectroscopy.
We relate the measured fast and slow time constants to carrier-carrier and
carrier-phonon intraband and interband scattering processes in graphene.
| cond-mat.mtrl-sci cond-mat.mes-hall | using ultrafast optical pumpprobe spectroscopy we have measured carrier relaxation times in epitaxial graphene layers grown on sic wafers we find two distinct time scales associated with the relaxation of nonequilibrium photogenerated carriers an initial fast relaxation transient in the 70120 fs range is followed by a slower relaxation process in the 0417 ps range the slower relaxation time is found to be inversely proportional to the degree of crystalline disorder in the graphene layers as measured by raman spectroscopy we relate the measured fast and slow time constants to carriercarrier and carrierphonon intraband and interband scattering processes in graphene | [['using', 'ultrafast', 'optical', 'pumpprobe', 'spectroscopy', 'we', 'have', 'measured', 'carrier', 'relaxation', 'times', 'in', 'epitaxial', 'graphene', 'layers', 'grown', 'on', 'sic', 'wafers', 'we', 'find', 'two', 'distinct', 'time', 'scales', 'associated', 'with', 'the', 'relaxation', 'of', 'nonequilibrium', 'photogenerated', 'carriers', 'an', 'initial', 'fast', 'relaxation', 'transient', 'in', 'the', '70120', 'fs', 'range', 'is', 'followed', 'by', 'a', 'slower', 'relaxation', 'process', 'in', 'the', '0417', 'ps', 'range', 'the', 'slower', 'relaxation', 'time', 'is', 'found', 'to', 'be', 'inversely', 'proportional', 'to', 'the', 'degree', 'of', 'crystalline', 'disorder', 'in', 'the', 'graphene', 'layers', 'as', 'measured', 'by', 'raman', 'spectroscopy', 'we', 'relate', 'the', 'measured', 'fast', 'and', 'slow', 'time', 'constants', 'to', 'carriercarrier', 'and', 'carrierphonon', 'intraband', 'and', 'interband', 'scattering', 'processes', 'in', 'graphene']] | [-0.13600912934169174, 0.25115199890584333, -0.04242076958529651, -0.017051093158570438, 0.04509218920022249, -0.16128080822527407, 0.05589089923712891, 0.4802670441754162, -0.34993875747546554, -0.2296480590873398, 0.0010780359676573425, -0.2856433801539242, -0.09825935205444694, 0.21409242133609951, 0.07461452245246619, 0.03606624176725745, -0.02232614836655557, -0.15389480944722891, -0.0788129505654797, -0.20346720944042318, 0.18162303601158783, 0.05631150056229672, 0.31246890561655166, 0.1029740251880139, 0.06730146259069443, 0.03400423331127968, 0.052468161936849354, -0.06970399474725127, -0.17702347706770524, 0.003879728503525257, 0.26585317445686085, -0.1182029524911195, 0.20471072040498256, -0.5300417198985815, -0.20398649765178561, -0.01957269795704633, 0.1700600378937088, 0.12898687379434703, -0.025654941449174656, -0.22709408388705923, 0.041095618614926936, -0.06541883164449246, -0.059951354758813975, -0.039644860210828484, 0.06283511058893054, 0.0007695164298638701, -0.2451228987891227, 0.16460173750296236, 0.005371802188456058, 0.03879571594763547, -0.12207242817617953, -0.08240978387650102, -0.030905244927853345, 0.017058806284330784, 0.10347434017894556, 0.051330338227562604, 0.24493678593542426, -0.048956702216528356, -0.12674576259450987, 0.320102274697274, -0.126107669910416, -0.036497797779738904, 0.2068116099946201, -0.21908994854427874, 0.007651000497862697, 0.2356038739811629, 0.13577525012602565, 0.19028955087065696, -0.17665116170654074, 0.03247790289635304, 0.06907409648410975, 0.22887852960731833, 0.11225216986611486, 0.15711814901209437, 0.14183788227383048, 0.23359301293850876, 0.021662230242509396, 0.09982752779964357, -0.15489921726111788, -0.019580196039751172, -0.15899550463771447, -0.15145249140565284, -0.24790999002754688, 0.1435033018537797, -0.08699467401442235, -0.10686314629390836, 0.4197453882964328, 0.0840124515350908, 0.2053346881107427, -0.0036427441239356997, 0.2382837125658989, 0.17821104098460638, 0.10885711303038988, 0.00535614653956145, 0.2357594758295454, 0.1634819392906502, 0.12415454625152052, -0.3628447241801769, 0.10665112402290106, -0.018907711009960623] |
712.012 | On the partition of numbers into parts of a given type and number | E394 in the Enestrom index. Translated from the Latin original, "De
partitione numerorum in partes tam numero quam specie datas" (1768).
Euler finds a lot of recurrence formulas for the number of partitions of $N$
into $n$ parts from some set like 1 to 6 (numbers on the sides of a die). He
starts the paper talking about how many ways a number $N$ can be formed by
throwing $n$ dice. There do not seem to be any new results or ideas here that
weren't in "Observationes analyticae variae de combinationibus", E158 and "De
partitione numerorum", E191. In this paper Euler just does a lot of special
cases. My impression is that Euler is trying to make his theory of partitions
more approachable,. Also, maybe for his own benefit he wants to say it all
again in different words, to make it clear.
| math.HO math.CO | e394 in the enestrom index translated from the latin original de partitione numerorum in partes tam numero quam specie datas 1768 euler finds a lot of recurrence formulas for the number of partitions of n into n parts from some set like 1 to 6 numbers on the sides of a die he starts the paper talking about how many ways a number n can be formed by throwing n dice there do not seem to be any new results or ideas here that werent in observationes analyticae variae de combinationibus e158 and de partitione numerorum e191 in this paper euler just does a lot of special cases my impression is that euler is trying to make his theory of partitions more approachable also maybe for his own benefit he wants to say it all again in different words to make it clear | [['e394', 'in', 'the', 'enestrom', 'index', 'translated', 'from', 'the', 'latin', 'original', 'de', 'partitione', 'numerorum', 'in', 'partes', 'tam', 'numero', 'quam', 'specie', 'datas', '1768', 'euler', 'finds', 'a', 'lot', 'of', 'recurrence', 'formulas', 'for', 'the', 'number', 'of', 'partitions', 'of', 'n', 'into', 'n', 'parts', 'from', 'some', 'set', 'like', '1', 'to', '6', 'numbers', 'on', 'the', 'sides', 'of', 'a', 'die', 'he', 'starts', 'the', 'paper', 'talking', 'about', 'how', 'many', 'ways', 'a', 'number', 'n', 'can', 'be', 'formed', 'by', 'throwing', 'n', 'dice', 'there', 'do', 'not', 'seem', 'to', 'be', 'any', 'new', 'results', 'or', 'ideas', 'here', 'that', 'werent', 'in', 'observationes', 'analyticae', 'variae', 'de', 'combinationibus', 'e158', 'and', 'de', 'partitione', 'numerorum', 'e191', 'in', 'this', 'paper', 'euler', 'just', 'does', 'a', 'lot', 'of', 'special', 'cases', 'my', 'impression', 'is', 'that', 'euler', 'is', 'trying', 'to', 'make', 'his', 'theory', 'of', 'partitions', 'more', 'approachable', 'also', 'maybe', 'for', 'his', 'own', 'benefit', 'he', 'wants', 'to', 'say', 'it', 'all', 'again', 'in', 'different', 'words', 'to', 'make', 'it', 'clear']] | [-0.09124399884518318, 0.1084841297047473, -0.13772387916276999, 0.06952222309893627, -0.14079214620869607, -0.19429538021658493, 0.037237469679573275, 0.290469995850478, -0.23241853513836225, -0.3026895919677319, 0.06633607599018004, -0.3304369861143641, -0.12865137280930547, 0.1743612858284477, -0.17346755266546954, -0.04564877654261449, 0.03949712055584635, 0.07396703974946457, 0.002691577294814017, -0.33385589053881737, 0.27594361235113707, 0.017410184996312156, 0.20099430185783765, 0.0025103925076751586, 0.06418751887395047, 0.007176334178759991, -0.026052851377137226, 0.0057039078050339035, -0.11297132738796148, 0.06780656220507808, 0.28098012839430286, 0.20372042177340893, 0.3093920130666126, -0.42525346957914095, -0.0995855137846186, 0.12973823983167462, 0.16489640279563472, 0.09706070035463199, 0.0031905518163137673, -0.25216532114769935, 0.06950951388502932, -0.15825688883042482, -0.11708351139746168, -0.005000471216215587, 0.06685219100429951, -0.008858000633635503, -0.18831708608366385, -0.024434524388198042, 0.0991607287865276, 0.031946008970194006, 0.024264081689419553, -0.19988966141553485, -0.010526804751648074, 0.134703798491768, 0.043140149637645876, 0.039457550316857284, 0.04764820159984725, -0.09593221711796052, -0.08148117826888612, 0.3730779932880336, -0.016299968219006106, -0.20694246342378286, 0.14753089508089676, -0.15913283626923658, -0.16828693919524085, 0.12210062222113587, 0.09861196554265916, 0.09156449301586048, -0.06214846819570726, 0.06888526351865627, -0.11083932123694788, 0.1839302693192354, 0.18979794115019852, -0.039100419572444964, 0.18483207348446526, 0.02708655962616082, 0.025503214103296427, 0.06554956732297261, 0.016053875218323597, -0.07645616717705064, -0.2695502382634646, -0.22555806984618196, -0.1677030204762773, 0.12062833455627911, -0.04314342692059119, -0.16506045799948932, 0.3273194795303211, 0.14994037543553584, 0.1671646598569008, 0.06695324757054229, 0.2330615722329479, 0.02228807559271552, 0.03299305435939459, 0.06421502732315704, 0.1403508364517834, 0.0710589038028368, 0.14705661077545407, -0.0912380137888249, 0.05290578669005567, 0.1193598850924686] |
712.0121 | Efficient Binary and Run Length Morphology and its Application to
Document Image Processing | This paper describes the implementation and evaluation of an open source
library for mathematical morphology based on packed binary and run-length
compressed images for document imaging applications. Abstractions and patterns
useful in the implementation of the interval operations are described. A number
of benchmarks and comparisons to bit-blit based implementations on standard
document images are provided.
| cs.GR | this paper describes the implementation and evaluation of an open source library for mathematical morphology based on packed binary and runlength compressed images for document imaging applications abstractions and patterns useful in the implementation of the interval operations are described a number of benchmarks and comparisons to bitblit based implementations on standard document images are provided | [['this', 'paper', 'describes', 'the', 'implementation', 'and', 'evaluation', 'of', 'an', 'open', 'source', 'library', 'for', 'mathematical', 'morphology', 'based', 'on', 'packed', 'binary', 'and', 'runlength', 'compressed', 'images', 'for', 'document', 'imaging', 'applications', 'abstractions', 'and', 'patterns', 'useful', 'in', 'the', 'implementation', 'of', 'the', 'interval', 'operations', 'are', 'described', 'a', 'number', 'of', 'benchmarks', 'and', 'comparisons', 'to', 'bitblit', 'based', 'implementations', 'on', 'standard', 'document', 'images', 'are', 'provided']] | [-0.07753012847493995, 0.005021365226341666, -0.04553585922853513, 0.05981980672910471, -0.09632236737419259, -0.12471974718130448, 0.024089469407177107, 0.4539065947756171, -0.23835055465725336, -0.3454322261227803, 0.171752023906447, -0.2596264537677846, -0.10981591594490138, 0.29676793123680084, -0.10401885582303459, 0.08863192576576363, 0.1656659342517907, -0.005731766806407408, -0.07523660581262613, -0.24957885281606154, 0.25647717408243226, 0.06298348392275246, 0.30147784816270523, 0.018791623684492977, 0.07743993281302126, 0.018563719593327154, -0.12177737202833999, -0.004916796028952707, -0.0879288098859516, 0.18821617413142866, 0.30472034723921254, 0.25115667898207905, 0.18597996769134295, -0.42712455080314116, -0.1302477960220792, -0.04059749504720623, 0.15223323303190145, 0.07143552638590336, -0.09309488632927902, -0.30101730506232177, 0.06497087239880453, -0.13124685608358547, -0.016170375438576395, -0.09159608402458781, 0.03132392057238824, 0.034088865879245776, -0.2603465577079491, 0.004034823263910684, 0.04493419625478881, 0.1255518065257506, -0.02460834663361311, -0.14051736442541535, 0.08325406260449777, 0.12442448313601992, -0.06036340916021304, 0.0339217218909074, 0.1543181850490245, -0.1314639224205166, -0.1456253640015017, 0.41319067281755534, -0.017288376966660673, -0.21223433715375986, 0.20608002950691365, 0.004453148117119616, -0.16910978682677855, 0.07393110585319598, 0.22506666042926637, 0.08105932088060812, -0.17868285961449146, 0.07165164821794447, -0.030630391294305975, 0.25311423063235866, 0.09030088044025682, 0.0557626845526763, 0.19892805218696594, 0.24557321820069444, -0.05450466070324182, 0.18354048779742285, -0.07945955281399868, -0.09302658203311942, -0.2810061237351461, -0.135231179964136, -0.19857223826375875, -0.09717053821818396, -0.05015211120480671, -0.23804411505433645, 0.4182275030423294, 0.200002043355595, 0.1383797896179286, 0.05326579055664214, 0.34486141882159493, 0.007655960727821697, 0.06797431036829948, 0.09703769716010853, 0.05913255729458549, 0.09406657786616547, 0.1173995133320039, -0.12820647107437252, 0.04019129788503051, 0.05724318135868419] |
712.0122 | Definition and stability of Lorentzian manifolds with distributional
curvature | Following Geroch, Traschen, Mars and Senovilla, we consider Lorentzian
manifolds with distributional curvature tensor. Such manifolds represent
spacetimes of general relativity that possibly contain gravitational waves,
shock waves, and other singular patterns. We aim here at providing a
comprehensive and geometric (i.e., coordinate-free) framework. First, we
determine the minimal assumptions required on the metric tensor in order to
give a rigorous meaning to the spacetime curvature within the framework of
distribution theory. This leads us to a direct derivation of the jump relations
associated with singular parts of connection and curvature operators. Second,
we investigate the induced geometry on a hypersurface with general signature,
and we determine the minimal assumptions required to define, in the sense of
distributions, the curvature tensors and the second fundamental form of the
hypersurface and to establish the Gauss-Codazzi equations.
| gr-qc math.DG | following geroch traschen mars and senovilla we consider lorentzian manifolds with distributional curvature tensor such manifolds represent spacetimes of general relativity that possibly contain gravitational waves shock waves and other singular patterns we aim here at providing a comprehensive and geometric ie coordinatefree framework first we determine the minimal assumptions required on the metric tensor in order to give a rigorous meaning to the spacetime curvature within the framework of distribution theory this leads us to a direct derivation of the jump relations associated with singular parts of connection and curvature operators second we investigate the induced geometry on a hypersurface with general signature and we determine the minimal assumptions required to define in the sense of distributions the curvature tensors and the second fundamental form of the hypersurface and to establish the gausscodazzi equations | [['following', 'geroch', 'traschen', 'mars', 'and', 'senovilla', 'we', 'consider', 'lorentzian', 'manifolds', 'with', 'distributional', 'curvature', 'tensor', 'such', 'manifolds', 'represent', 'spacetimes', 'of', 'general', 'relativity', 'that', 'possibly', 'contain', 'gravitational', 'waves', 'shock', 'waves', 'and', 'other', 'singular', 'patterns', 'we', 'aim', 'here', 'at', 'providing', 'a', 'comprehensive', 'and', 'geometric', 'ie', 'coordinatefree', 'framework', 'first', 'we', 'determine', 'the', 'minimal', 'assumptions', 'required', 'on', 'the', 'metric', 'tensor', 'in', 'order', 'to', 'give', 'a', 'rigorous', 'meaning', 'to', 'the', 'spacetime', 'curvature', 'within', 'the', 'framework', 'of', 'distribution', 'theory', 'this', 'leads', 'us', 'to', 'a', 'direct', 'derivation', 'of', 'the', 'jump', 'relations', 'associated', 'with', 'singular', 'parts', 'of', 'connection', 'and', 'curvature', 'operators', 'second', 'we', 'investigate', 'the', 'induced', 'geometry', 'on', 'a', 'hypersurface', 'with', 'general', 'signature', 'and', 'we', 'determine', 'the', 'minimal', 'assumptions', 'required', 'to', 'define', 'in', 'the', 'sense', 'of', 'distributions', 'the', 'curvature', 'tensors', 'and', 'the', 'second', 'fundamental', 'form', 'of', 'the', 'hypersurface', 'and', 'to', 'establish', 'the', 'gausscodazzi', 'equations']] | [-0.1674787019931332, 0.05801145640477814, -0.10453081113389796, 0.10794546080115079, -0.16043101617618016, -0.0982040712195966, -0.029997179930581264, 0.29406311624097053, -0.24053266587218752, -0.248669228978731, 0.08119489674421924, -0.26954877561441176, -0.18433727285548768, 0.11357354520371667, -0.08248997094816769, 0.03168050657819819, 0.021532620653441106, 0.06443097363915984, -0.11085569160576496, -0.17963197576399478, 0.4378355258282412, 0.037552425831004425, 0.22361507703791614, 0.07152646185433562, 0.15781909900424243, -0.01594930135610479, -0.0615616317562483, 0.021084562013857066, -0.21887331885933506, 0.15792306191805336, 0.21418807782163773, 0.12011228683232157, 0.18880641181366864, -0.4770559540708308, -0.21774009719008097, 0.12261782609340217, 0.05384945171298804, 0.09807216916233301, 0.008780400770612888, -0.2933063588898491, 0.07836721259928137, -0.11807390063725136, -0.19058258696976635, -0.0931011198192007, 0.002141336717263416, -0.04859365911602422, -0.22294792179708128, 0.08422695633230938, 0.10149115610488312, 0.04012999624979717, -0.09130776158913419, -0.04504535203126984, -0.00852612814762526, 0.0787311355997291, 0.06669717772639598, -0.0026640521327930466, 0.08176114150081519, -0.06813811949730196, -0.07664610152736444, 0.3881530210134332, -0.09955496799493968, -0.2769525273875506, 0.14190023822916878, -0.1713481933620103, -0.12636110141735385, 0.07841015690420237, 0.1910085998458305, 0.16980727567440934, -0.12099229723077129, 0.1102005366550724, 0.006926366710966384, 0.0859248144414138, 0.11572014930382095, 0.030701184546126536, 0.1959151601453346, 0.0672350453764752, 0.09937361162845736, 0.11255287359063341, -0.03031116644722513, -0.1029539345466118, -0.40001224729198, -0.20760023571136926, -0.12215176483409272, 0.1010694746652411, -0.1531541653614517, -0.20607483264541737, 0.4020695445438226, 0.10233525889063323, 0.17633357521370743, 0.09683478022149454, 0.2409269896146186, 0.09141242134436552, 0.01692939913590197, 0.09414309206315213, 0.23943387469345773, 0.2197810296383169, 0.07670246692443336, -0.1449344620423357, 0.005866826070403611, 0.11284596789110866] |
712.0123 | Gorenstein Global Dimensions and Cotorsion Dimension of Rings | In this paper, we establish, as a generalization of a result on the classical
homological dimensions of commutative rings, an upper bound on the Gorenstein
global dimension of commutative rings using the global cotorsion dimension of
rings. We use this result to compute the Gorenstein global dimension of some
particular cases of trivial extensions of rings and of group rings.
| math.AC | in this paper we establish as a generalization of a result on the classical homological dimensions of commutative rings an upper bound on the gorenstein global dimension of commutative rings using the global cotorsion dimension of rings we use this result to compute the gorenstein global dimension of some particular cases of trivial extensions of rings and of group rings | [['in', 'this', 'paper', 'we', 'establish', 'as', 'a', 'generalization', 'of', 'a', 'result', 'on', 'the', 'classical', 'homological', 'dimensions', 'of', 'commutative', 'rings', 'an', 'upper', 'bound', 'on', 'the', 'gorenstein', 'global', 'dimension', 'of', 'commutative', 'rings', 'using', 'the', 'global', 'cotorsion', 'dimension', 'of', 'rings', 'we', 'use', 'this', 'result', 'to', 'compute', 'the', 'gorenstein', 'global', 'dimension', 'of', 'some', 'particular', 'cases', 'of', 'trivial', 'extensions', 'of', 'rings', 'and', 'of', 'group', 'rings']] | [-0.19927789547170202, -0.07192612092258059, -0.0792853358744954, 0.09340266533739244, -0.008317427282842496, -0.15120018222369253, -0.05480003521273223, 0.26618880649718146, -0.3520003849097217, -0.15924188379819196, 0.13636050399703284, -0.2068224170866112, -0.127260187578698, 0.16560663090397915, -0.18084894251078368, -0.06126063500220577, -0.010382006651101013, 0.11772707728669048, -0.11083606178872288, -0.39294237090895573, 0.4315106967308869, 0.03222602140158415, 0.19969748139070967, 0.052945809563000996, 0.052776204181524615, 0.040653124420593184, -0.02717869929037988, 0.05135416942475786, -0.2620314341426517, 0.17698434342940647, 0.28136019211184854, 0.04617572251784926, 0.15177806559950113, -0.41086570924768845, -0.07584177701113125, 0.21338428145584962, 0.16184346123288076, 0.07248617863903443, -0.043382303560307874, -0.22806735889365276, 0.1458351418065528, -0.25060001510040214, -0.20750716173400482, -0.08676102105528116, 0.07901869229390286, -0.0011911477893590927, -0.25360422662148874, 0.046974442635352415, 0.19067738469069204, 0.19572357323947168, -0.07103436050626138, -0.030346232947583, -0.03473823644841711, 0.04674137610515269, -0.009178595493237178, -0.0887059101757283, 0.10794783813568452, -0.12045150913763791, -0.18644901386772592, 0.31666462881645807, -0.061170116726619504, -0.16636747363954782, 0.21680635459100206, -0.21346897538751364, -0.1258385398114721, 0.07193208041911324, 0.10937226234624783, 0.1999935606494546, -0.010719763704886039, 0.21767180689203086, -0.25853771323648594, 0.07473918280253808, 0.1411358678092559, 0.11472057860034207, 0.1250822214099268, 0.11871996211120858, 0.1605941908492241, 0.17789689282265803, -0.02043518988551417, -0.00030414612653354806, -0.3555470839142799, -0.22612759212982686, -0.1238775346117715, 0.1330543018489455, -0.10216244697391327, -0.15593976727686823, 0.4625620229790608, 0.11897821713840434, 0.18569592813340327, 0.11195245666895062, 0.26627053748816254, -0.007512288837460801, 0.07814230268510679, 0.05299226908634106, 0.15363905613242726, 0.27217092984355984, -0.015083693247288466, -0.10864156896132045, -0.07248502351964513, 0.24118599228871365] |
712.0124 | Stability, convergence to the steady state and elastic limit for the
Boltzmann equation for diffusively excited granular media | We consider a space-homogeneous gas of {\it inelastic hard spheres}, with a
{\it diffusive term} representing a random background forcing (in the framework
of so-called {\em constant normal restitution coefficients} $\alpha \in [0,1]$
for the inelasticity). In the physical regime of a small inelasticity (that is
$\alpha \in [\alpha_*,1)$ for some constructive $\alpha_* \in [0,1)$) we prove
uniqueness of the stationary solution for given values of the restitution
coefficient $\alpha \in [\alpha_*,1)$, the mass and the momentum, and we give
various results on the linear stability and nonlinear stability of this
stationary solution.
| math.AP | we consider a spacehomogeneous gas of it inelastic hard spheres with a it diffusive term representing a random background forcing in the framework of socalled em constant normal restitution coefficients alpha in 01 for the inelasticity in the physical regime of a small inelasticity that is alpha in alpha_1 for some constructive alpha_ in 01 we prove uniqueness of the stationary solution for given values of the restitution coefficient alpha in alpha_1 the mass and the momentum and we give various results on the linear stability and nonlinear stability of this stationary solution | [['we', 'consider', 'a', 'spacehomogeneous', 'gas', 'of', 'it', 'inelastic', 'hard', 'spheres', 'with', 'a', 'it', 'diffusive', 'term', 'representing', 'a', 'random', 'background', 'forcing', 'in', 'the', 'framework', 'of', 'socalled', 'em', 'constant', 'normal', 'restitution', 'coefficients', 'alpha', 'in', '01', 'for', 'the', 'inelasticity', 'in', 'the', 'physical', 'regime', 'of', 'a', 'small', 'inelasticity', 'that', 'is', 'alpha', 'in', 'alpha_1', 'for', 'some', 'constructive', 'alpha_', 'in', '01', 'we', 'prove', 'uniqueness', 'of', 'the', 'stationary', 'solution', 'for', 'given', 'values', 'of', 'the', 'restitution', 'coefficient', 'alpha', 'in', 'alpha_1', 'the', 'mass', 'and', 'the', 'momentum', 'and', 'we', 'give', 'various', 'results', 'on', 'the', 'linear', 'stability', 'and', 'nonlinear', 'stability', 'of', 'this', 'stationary', 'solution']] | [-0.16788606800862477, 0.15916924913143438, -0.05648014503806549, 0.05036699229861379, -0.009693191877456122, -0.11716208342582948, 0.039074521727098896, 0.33543389178411936, -0.2781496301233288, -0.21351742526135778, 0.047081348278449585, -0.2740207891710984, -0.11440914488768064, 0.17568839151632562, -0.009025249990724748, 0.0774176046892222, -0.003313539048997305, 0.03552632150991309, -0.027403672999371926, -0.18704567243024628, 0.3346001676744431, -0.01747631674171776, 0.1842115218500777, 0.06138097846339787, 0.1226355533305836, 0.013227771221589978, 0.004520516780014801, 0.043826358232607124, -0.24542766891869588, 0.03278844671133625, 0.2080218660324732, 0.023315367061063966, 0.2618033969274131, -0.33176843402656897, -0.17365311792681135, 0.0996413902950383, 0.1017766039397928, 0.04785423172557707, -0.04318201834190717, -0.20627440209750847, 0.06925845725251542, -0.1583144702317734, -0.1756661545024604, -0.05121462008795671, 0.08771769965057491, 0.07004786699870101, -0.34213706502510655, 0.14468612240487208, 0.1173336153789874, 0.0005933170016574603, -0.1341303735220384, -0.1198330375275785, 0.03317484876356258, 0.059128713583753954, 0.08301424432510851, -0.010868720009282072, 0.07314853567563709, -0.17186089576802827, -0.007588301920482228, 0.37728308465692306, -0.1076284884950847, -0.27911459407218364, 0.14421720810795344, -0.20257911834144784, -0.13664009301142105, 0.15794153970175534, 0.16352707993987728, 0.1387264871198724, -0.107525851968075, 0.1478253347900576, -0.06779764370832553, 0.16608461201871916, 0.10687227379931237, -0.0031287349617829725, 0.13286030384641823, 0.14896961983533635, 0.08877502436879822, 0.096240482570964, -0.07282112531429057, -0.0719540838592796, -0.3365913643151201, -0.15317791003123005, -0.15818718025681153, 0.10516086092308885, -0.18842712554392801, -0.20549323987491147, 0.31666645523841663, 0.11070126375704202, 0.25481978262103694, 0.08644239792740473, 0.2575791375210849, 0.17112366189198788, -0.06379152480663071, 0.06809309034317892, 0.2708390251929266, 0.14516677887188972, 0.1136952931642212, -0.21054704569941085, 0.07498939627260771, 0.09113129354532688] |
712.0125 | Sweedler's duals and Sch\"utzenberger's calculus | We describe the problem of Sweedler's duals for bialgebras as essentially
characterizing the domain of the transpose of the multiplication. This domain
is the set of what could be called ``representative linear forms'' which are
the elements of the algebraic dual which are also representative on the
multiplicative semigroup of the algebra. When the algebra is free, this notion
is indeed equivalent to that of rational functions of automata theory. For the
sake of applications, the range of coefficients has been considerably
broadened, i.e. extended to semirings, so that the results could be specialized
to the boolean and multiplicity cases. This requires some caution (use of
``positive formulas'', iteration replacing inversion, stable submodules
replacing finite-rank families for instance). For the theory and its
applications has been created a rational calculus which can, in return, be
applied to harness Sweedler's duals. A new theorem of rational closure and
application to Hopf algebras of use in Physics and Combinatorics is provided.
The concrete use of this ``calculus'' is eventually illustrated on an example.
| math.CO cs.DM math-ph math.MP | we describe the problem of sweedlers duals for bialgebras as essentially characterizing the domain of the transpose of the multiplication this domain is the set of what could be called representative linear forms which are the elements of the algebraic dual which are also representative on the multiplicative semigroup of the algebra when the algebra is free this notion is indeed equivalent to that of rational functions of automata theory for the sake of applications the range of coefficients has been considerably broadened ie extended to semirings so that the results could be specialized to the boolean and multiplicity cases this requires some caution use of positive formulas iteration replacing inversion stable submodules replacing finiterank families for instance for the theory and its applications has been created a rational calculus which can in return be applied to harness sweedlers duals a new theorem of rational closure and application to hopf algebras of use in physics and combinatorics is provided the concrete use of this calculus is eventually illustrated on an example | [['we', 'describe', 'the', 'problem', 'of', 'sweedlers', 'duals', 'for', 'bialgebras', 'as', 'essentially', 'characterizing', 'the', 'domain', 'of', 'the', 'transpose', 'of', 'the', 'multiplication', 'this', 'domain', 'is', 'the', 'set', 'of', 'what', 'could', 'be', 'called', 'representative', 'linear', 'forms', 'which', 'are', 'the', 'elements', 'of', 'the', 'algebraic', 'dual', 'which', 'are', 'also', 'representative', 'on', 'the', 'multiplicative', 'semigroup', 'of', 'the', 'algebra', 'when', 'the', 'algebra', 'is', 'free', 'this', 'notion', 'is', 'indeed', 'equivalent', 'to', 'that', 'of', 'rational', 'functions', 'of', 'automata', 'theory', 'for', 'the', 'sake', 'of', 'applications', 'the', 'range', 'of', 'coefficients', 'has', 'been', 'considerably', 'broadened', 'ie', 'extended', 'to', 'semirings', 'so', 'that', 'the', 'results', 'could', 'be', 'specialized', 'to', 'the', 'boolean', 'and', 'multiplicity', 'cases', 'this', 'requires', 'some', 'caution', 'use', 'of', 'positive', 'formulas', 'iteration', 'replacing', 'inversion', 'stable', 'submodules', 'replacing', 'finiterank', 'families', 'for', 'instance', 'for', 'the', 'theory', 'and', 'its', 'applications', 'has', 'been', 'created', 'a', 'rational', 'calculus', 'which', 'can', 'in', 'return', 'be', 'applied', 'to', 'harness', 'sweedlers', 'duals', 'a', 'new', 'theorem', 'of', 'rational', 'closure', 'and', 'application', 'to', 'hopf', 'algebras', 'of', 'use', 'in', 'physics', 'and', 'combinatorics', 'is', 'provided', 'the', 'concrete', 'use', 'of', 'this', 'calculus', 'is', 'eventually', 'illustrated', 'on', 'an', 'example']] | [-0.08347287264309432, 0.0815050397783944, -0.08295065167016889, 0.08574172687016929, -0.1334081487757377, -0.11988385544806632, 0.0008661581791545215, 0.3370593249231403, -0.3613565648001842, -0.21004189078475496, 0.15462394284863265, -0.24509815688301845, -0.1585681959251432, 0.23053247830149723, -0.11741829712012965, 0.015395378852903038, 0.02689565580790285, 0.09662957162438342, -0.09514920768322564, -0.2587673315582307, 0.36117373072210024, 0.024439625446112792, 0.2117137769686483, 0.050340365574896684, 0.09358503207651495, -0.006867767393327596, -0.018254824984840483, 0.03146554463977981, -0.11087204476082166, 0.1396984783762369, 0.31559428853685395, 0.1346261989439658, 0.2612197770361315, -0.3978572581834786, -0.1535996577609875, 0.14451086806536417, 0.15256707295121855, 0.06772516108572767, -0.038669181965517524, -0.2483718536776485, 0.12503151707089102, -0.2032603147379749, -0.1396976862992371, -0.11072607978372372, 0.054202185712253666, 0.030158395944326594, -0.27825991371483133, -0.02661995337448867, 0.10091382595478987, 0.09967205732821198, -0.053651489383453904, -0.10824813452965923, -0.020200614434835767, 0.09235164537097937, -0.018163052127473274, -0.008551524645017123, 0.10814282540177479, -0.10239442752140482, -0.15150009488349248, 0.3687291289216768, 0.0024253350535505696, -0.24296326018129175, 0.15209902036725406, -0.1190829475448407, -0.1558379221487006, 0.10153040580440596, 0.09349600508368618, 0.1393996609690768, -0.08751315120731859, 0.18102886535265422, -0.11052260155740537, 0.09188667301507938, 0.10019905536097871, 0.02679817990416236, 0.15314820659216166, 0.10680991110980119, 0.04731378881519453, 0.17227513551894488, 0.028152610701201612, -0.09990687847780118, -0.3231529614299928, -0.18812465900487174, -0.13936787409359339, 0.06667856906665957, -0.0717521691592737, -0.19196064747074804, 0.4158196388498733, 0.13635776530030833, 0.12090719950913686, 0.07454844448669154, 0.2363141325890626, 0.1585650245853249, 0.10048130767049583, 0.005420181045869681, 0.16455171120911974, 0.20893697304465966, 0.03475559192263026, -0.13981562448333273, 0.03507274187310212, 0.14945913224660776] |
712.0126 | Global Gorenstein dimensions of polynomial rings and of direct product
of rings | In this paper, we extend the well-known Hilbert's syzygy theorem to the
Gorenstein homological dimensions of rings. Also, we study the Gorenstein
homological dimensions of direct product of rings, which gives examples of
non-Noetherian rings of finite Gorenstein dimensions and infinite classical
weak dimension.
| math.AC | in this paper we extend the wellknown hilberts syzygy theorem to the gorenstein homological dimensions of rings also we study the gorenstein homological dimensions of direct product of rings which gives examples of nonnoetherian rings of finite gorenstein dimensions and infinite classical weak dimension | [['in', 'this', 'paper', 'we', 'extend', 'the', 'wellknown', 'hilberts', 'syzygy', 'theorem', 'to', 'the', 'gorenstein', 'homological', 'dimensions', 'of', 'rings', 'also', 'we', 'study', 'the', 'gorenstein', 'homological', 'dimensions', 'of', 'direct', 'product', 'of', 'rings', 'which', 'gives', 'examples', 'of', 'nonnoetherian', 'rings', 'of', 'finite', 'gorenstein', 'dimensions', 'and', 'infinite', 'classical', 'weak', 'dimension']] | [-0.21584095141257753, -0.055946506835012275, -0.06897562949664214, 0.11764267513221553, -0.048016527741724116, -0.2210690456188538, -0.125770016486058, 0.2609995641660961, -0.38646030553023925, -0.08037005828439513, 0.12728563004004007, -0.20464851416710933, -0.12834004040765154, 0.12023266368884254, -0.23351658398116176, -0.03893856341230937, -0.005494469268755479, 0.061705788428133186, -0.12438816706311297, -0.4847369981421666, 0.47790229720571503, -0.010820205238732424, 0.211824890691787, 0.12298397689168765, 0.121679192091423, 0.05933582258876413, -0.03317091808739034, 0.06736651865172792, -0.30921179039234464, 0.18391444272658025, 0.3623210527849468, 0.020959001960529185, 0.15006220439152623, -0.3747659922492775, -0.04177801816893572, 0.19879478266970677, 0.17160782751373269, 0.08852840795721435, -0.004329755161465569, -0.24035428032617678, 0.16386448418382893, -0.2659983274960806, -0.2628328630870039, -0.10740246202542701, 0.08959682065654885, 0.007194355167236857, -0.2173672342376614, 0.07753455079496648, 0.2334377008320933, 0.23036267525855114, -0.023667228979651223, -0.023612851509824395, -0.044385149207135495, -0.011253490136534145, -0.0014306296467442405, -0.15273871731584554, 0.06513640981971879, -0.07784560686294836, -0.21834765465676106, 0.30169462301472033, 0.013313440881161527, -0.14620959934439848, 0.2251163853163069, -0.2581019811332226, -0.08955541346222162, 0.09810912615450268, 0.03102863651954315, 0.21298754892565988, 0.03225567562251606, 0.2528721496068597, -0.2521802381485362, 0.06777532761704853, 0.20431446184573526, 0.09907999610136771, 0.1161990360441533, 0.1061982070942494, 0.09431855295869437, 0.22698291562582282, 0.009219147942282936, -0.029124697035347872, -0.3598566360597033, -0.2728745140431618, -0.10805547622625124, 0.19117574927143074, -0.164529792886738, -0.15929197251204064, 0.44088953509080137, 0.1379683769072554, 0.09572181004014882, 0.12649660297426057, 0.2964349500834942, -0.036811663980849764, 0.07242079699327322, -0.014127898474477908, 0.13125669648764993, 0.3252414922991937, 0.015187735415317795, -0.04735730127008124, -0.13569472151258113, 0.3105524517807432] |
712.0127 | Rings over which all modules are strongly Gorenstein projective | One of the main results of this paper is the characterization of the rings
over which all modules are strongly Gorenstein projective. We show that these
kinds of rings are very particular cases of the well-known quasi-Frobenius
rings. We give examples of rings over which all modules are Gorenstein
projective but not necessarily strongly Gorenstein projective.
| math.AC | one of the main results of this paper is the characterization of the rings over which all modules are strongly gorenstein projective we show that these kinds of rings are very particular cases of the wellknown quasifrobenius rings we give examples of rings over which all modules are gorenstein projective but not necessarily strongly gorenstein projective | [['one', 'of', 'the', 'main', 'results', 'of', 'this', 'paper', 'is', 'the', 'characterization', 'of', 'the', 'rings', 'over', 'which', 'all', 'modules', 'are', 'strongly', 'gorenstein', 'projective', 'we', 'show', 'that', 'these', 'kinds', 'of', 'rings', 'are', 'very', 'particular', 'cases', 'of', 'the', 'wellknown', 'quasifrobenius', 'rings', 'we', 'give', 'examples', 'of', 'rings', 'over', 'which', 'all', 'modules', 'are', 'gorenstein', 'projective', 'but', 'not', 'necessarily', 'strongly', 'gorenstein', 'projective']] | [-0.22585022969620436, -0.010358335674806898, -0.03717915211538119, 0.03614184090734592, 0.0011972204748807208, -0.20991727947590075, -0.1754276192659745, 0.40122880573783604, -0.3575833699349979, -0.13768068880641035, 0.1610565168749807, -0.22271718113084457, -0.14724731388767914, 0.2573215906907405, -0.17302791754316008, -0.09578294348570385, 0.07470376812229265, 0.06902376748621464, -0.08893033098346288, -0.4875238255730697, 0.4673235546797514, -0.01327876776589879, 0.21372155579073088, 0.06414482981199399, 0.06348759093920567, 0.01849769050854125, -0.025625905437794114, 0.08391707937513664, -0.19902799957513448, 0.1496875178501276, 0.37938482513917343, 0.08183812792412937, 0.1352826281301012, -0.37362010880107327, -0.08256867289310321, 0.2497653353743122, 0.1455353190124567, 0.06866194491989777, -0.010660306299022133, -0.18373580260335334, 0.14076809221712341, -0.21179436484401645, -0.08772956747894309, -0.1084953594171176, 0.04251748649403453, 0.12711841606401972, -0.18855183046876586, 0.021926923584292775, 0.18130591364544152, 0.1318848978927625, -0.05209010429098271, -0.059166368030543835, -0.06428014138613694, 0.018403014226350933, -0.06717251529335044, -0.12693744212655084, 0.11845869664102793, -0.09375817003975888, -0.14514106418937445, 0.3406797161192766, 0.032647945352696946, -0.16648859876607144, 0.24125215890152113, -0.29400711052585393, -0.08247875828861392, 0.16125589680658386, 0.006767117368456509, 0.22647960131455744, -0.05581466654049499, 0.12713747648688564, -0.23302018396290286, 0.04105224806283202, 0.09001210502382102, 0.10267832254092875, 0.19464525377510913, 0.08487826098072608, 0.08281195013010542, 0.09805532107878077, -0.002998814086562821, -0.010565123670468373, -0.4049083524379447, -0.21660659409826621, -0.07989902967736791, 0.09970941855681303, -0.04571528657938221, -0.17650286593873585, 0.4836196751067681, 0.10840716884870615, 0.19967610904547786, 0.11066294724670504, 0.24702677137143578, -0.06486639824496317, 0.10007952678383195, 0.040823893214110285, 0.17867356099304743, 0.2286765937626894, -0.06147991701644579, -0.059794094222265164, -0.005983473217513945, 0.12996585314561213] |
712.0128 | Pr\"ufer-Like Conditions in Subring Retracts and Applications | In this paper, we consider five possible extensions of the Pr\"ufer domain
notion to the case of commutative rings with zero divisors. We investigate the
transfer of these Pr\"ufer-like properties between a commutative ring and its
subring retract. Our results generate new families of examples of rings subject
to a given Pr\"ufer-like conditions.
| math.AC | in this paper we consider five possible extensions of the prufer domain notion to the case of commutative rings with zero divisors we investigate the transfer of these pruferlike properties between a commutative ring and its subring retract our results generate new families of examples of rings subject to a given pruferlike conditions | [['in', 'this', 'paper', 'we', 'consider', 'five', 'possible', 'extensions', 'of', 'the', 'prufer', 'domain', 'notion', 'to', 'the', 'case', 'of', 'commutative', 'rings', 'with', 'zero', 'divisors', 'we', 'investigate', 'the', 'transfer', 'of', 'these', 'pruferlike', 'properties', 'between', 'a', 'commutative', 'ring', 'and', 'its', 'subring', 'retract', 'our', 'results', 'generate', 'new', 'families', 'of', 'examples', 'of', 'rings', 'subject', 'to', 'a', 'given', 'pruferlike', 'conditions']] | [-0.20671154116280377, 0.016652185452293675, -0.051318278342907156, 0.033393279497757694, -0.07795395963508987, -0.1266955483511512, -0.030375015361779282, 0.34953144797176683, -0.38369923274753226, -0.17963675346295788, 0.09908992729263978, -0.2481320956897623, -0.11996278543692995, 0.18664771009166287, -0.15884169416045243, -0.04107100017619196, 0.025046610427176895, 0.06414126073238703, -0.11249802885511187, -0.30603687448058065, 0.4313914173475976, -0.025603279286890098, 0.19164983436623412, 0.047379390977955654, 0.05166577084763151, -0.022085600717098645, -0.03914335340191171, 0.01723744078838038, -0.25230293053219904, 0.14017154258798878, 0.2823253022331112, 0.09265548475789574, 0.2323743594845511, -0.4116268405374491, -0.10649133542166003, 0.21436257885312135, 0.08496927979560394, 0.02938453199447326, -0.05694835266001733, -0.22377489772098103, 0.1390830456094711, -0.2461013940321106, -0.17381502538568006, -0.07480931840837002, 0.06861697112974482, 0.043861122141847, -0.2648722463691572, -0.0345649208680217, 0.14797119047703608, 0.17232869980189036, -0.06088030355200523, -0.052264146383781476, -0.00036597895910436254, 0.06556171129615802, 0.015659020499783165, -0.07258537101541769, 0.09618034434640992, -0.0832917750889945, -0.144796369061366, 0.3502848665493558, -0.04749006303554436, -0.2241083895260433, 0.21281414136360838, -0.19557401919210293, -0.08823919584447483, 0.0676437495715635, 0.0926351270304536, 0.21519460254963838, -0.06243900049758969, 0.14381270997889586, -0.17652315368770427, 0.04822584194183912, 0.12402775212419483, 0.08231746333317375, 0.1971100499888636, 0.09495449635498929, 0.048869811332859274, 0.2433962614126152, -0.008436349756523685, -0.040149170089346126, -0.3608372488392974, -0.14149028802606858, -0.08802786304281568, 0.09436231707486342, -0.03466719091965439, -0.1775625368123347, 0.48359853106568446, 0.16321066083421684, 0.1811951153015472, 0.08491370584903601, 0.2105390154668745, -0.016092413673968107, 0.08719602869472133, 0.02033832139678229, 0.10775949735686464, 0.24621225028948965, 0.012991709863099287, -0.15539784378038263, -0.06062984628765405, 0.12535223230403267] |
712.0129 | A Low-Temperature Specific Heat Study of the Giant Dielectric Constant
Materials | Low-temperature specific-heat study has been performed on the insulating
giant dielectric constant material CaCu3Ti4O12 and two related compounds,
Bi2/3Cu3Ti4O12 and La0.5Na0.5Cu3Ti4O12, from 0.6 to 10 K. From analyzing the
specific heat data at very low-temperature range, 0.6 to 1.5 K, and moderately
low-temperature range, 1.5 to 5 K, in addition to the expected Debye terms, we
noticed significant contributions originated from the linear and Einstein
terms, which we attributed as the manifestation of low-lying elementary
excitations due to lattice vibrations occurred at the grain boundaries and
induced by local defects. Together with the findings on electronic and
mechanical properties, a phenomenological model is proposed to explain the high
dielectric constant behaviors at both low and high frequency regions.
| cond-mat.mtrl-sci cond-mat.str-el | lowtemperature specificheat study has been performed on the insulating giant dielectric constant material cacu3ti4o12 and two related compounds bi23cu3ti4o12 and la05na05cu3ti4o12 from 06 to 10 k from analyzing the specific heat data at very lowtemperature range 06 to 15 k and moderately lowtemperature range 15 to 5 k in addition to the expected debye terms we noticed significant contributions originated from the linear and einstein terms which we attributed as the manifestation of lowlying elementary excitations due to lattice vibrations occurred at the grain boundaries and induced by local defects together with the findings on electronic and mechanical properties a phenomenological model is proposed to explain the high dielectric constant behaviors at both low and high frequency regions | [['lowtemperature', 'specificheat', 'study', 'has', 'been', 'performed', 'on', 'the', 'insulating', 'giant', 'dielectric', 'constant', 'material', 'cacu3ti4o12', 'and', 'two', 'related', 'compounds', 'bi23cu3ti4o12', 'and', 'la05na05cu3ti4o12', 'from', '06', 'to', '10', 'k', 'from', 'analyzing', 'the', 'specific', 'heat', 'data', 'at', 'very', 'lowtemperature', 'range', '06', 'to', '15', 'k', 'and', 'moderately', 'lowtemperature', 'range', '15', 'to', '5', 'k', 'in', 'addition', 'to', 'the', 'expected', 'debye', 'terms', 'we', 'noticed', 'significant', 'contributions', 'originated', 'from', 'the', 'linear', 'and', 'einstein', 'terms', 'which', 'we', 'attributed', 'as', 'the', 'manifestation', 'of', 'lowlying', 'elementary', 'excitations', 'due', 'to', 'lattice', 'vibrations', 'occurred', 'at', 'the', 'grain', 'boundaries', 'and', 'induced', 'by', 'local', 'defects', 'together', 'with', 'the', 'findings', 'on', 'electronic', 'and', 'mechanical', 'properties', 'a', 'phenomenological', 'model', 'is', 'proposed', 'to', 'explain', 'the', 'high', 'dielectric', 'constant', 'behaviors', 'at', 'both', 'low', 'and', 'high', 'frequency', 'regions']] | [-0.10186941742672231, 0.19091283983615195, -0.016775977496732156, 0.006004571173026965, -0.04282314809850128, -0.11427825374994427, 0.10758878574867187, 0.3671921840387172, -0.23180974001899876, -0.3545202274590024, 0.05378162102464683, -0.34913547430990327, -0.10078202263132974, 0.17678220985770418, 0.014515046784975406, 0.016958048976636653, -0.034273633376117156, -0.011440960080202284, -0.07716937637727322, -0.18260134539390305, 0.2512186790017636, 0.06671086220664839, 0.28535316229781843, 0.14470288592615518, 0.07610021440757855, -0.06357020006218025, 0.04788871899905518, 0.03218493183496697, -0.17439373620336168, 0.038558594946717394, 0.26846381333849295, -0.09216421141875265, 0.1887654383538355, -0.4194234452403054, -0.2110796959765641, 0.024151750772003214, 0.11701375674576787, 0.07503835042709774, -0.023286959816749882, -0.23991276448239282, 0.09952818892960405, -0.11814657601142495, -0.11667239521068104, -0.09561409783581722, 0.0009814327028740582, -0.0456918898567453, -0.20505347491466794, 0.11633644505917769, 0.029916659856600494, 0.11813856197765964, -0.12031774629902994, -0.19027652379912163, -0.015958726522512734, 0.05698290107579067, 0.08452472543636948, 0.052828375753898434, 0.17809858113719984, -0.09722798041886939, -0.05198982268860885, 0.3995336535756059, -0.1023773394910426, -0.039292326307422, 0.2460057330438225, -0.21704849958467973, -0.08290481623784028, 0.21076619945434405, 0.14011003885765416, 0.07854576687482065, -0.15167690867634392, 0.047818087238832456, 0.05308834546855811, 0.17515731925658626, 0.08818922076245835, 0.08079803794028302, 0.23610220627923464, 0.11592734002122848, -0.05604462805685812, 0.14613618969050204, -0.12053842561174954, -0.04274660942208921, -0.23235358941320586, -0.08647280526026313, -0.20266347557531092, 0.050908412439106356, -0.12426456713816653, -0.13555265534749447, 0.3726526597306004, 0.08896292283027614, 0.22739314958694037, -0.03141969429421367, 0.19824026875872294, 0.0805463694298945, 0.10098244673130906, 0.060607706044061946, 0.25653003898433185, 0.1837658819457484, 0.15179752595000098, -0.27601813819411947, 0.05652865782733364, -0.018581267478394097] |
712.013 | On the Relationship between the Posterior and Optimal Similarity | For a classification problem described by the joint density $P(\omega,x)$,
models of $P(\omega\eq\omega'|x,x')$ (the ``Bayesian similarity measure'') have
been shown to be an optimal similarity measure for nearest neighbor
classification. This paper analyzes demonstrates several additional properties
of that conditional distribution. The paper first shows that we can
reconstruct, up to class labels, the class posterior distribution $P(\omega|x)$
given $P(\omega\eq\omega'|x,x')$, gives a procedure for recovering the class
labels, and gives an asymptotically Bayes-optimal classification procedure. It
also shows, given such an optimal similarity measure, how to construct a
classifier that outperforms the nearest neighbor classifier and achieves
Bayes-optimal classification rates. The paper then analyzes Bayesian similarity
in a framework where a classifier faces a number of related classification
tasks (multitask learning) and illustrates that reconstruction of the class
posterior distribution is not possible in general. Finally, the paper
identifies a distinct class of classification problems using
$P(\omega\eq\omega'|x,x')$ and shows that using $P(\omega\eq\omega'|x,x')$ to
solve those problems is the Bayes optimal solution.
| cs.LG | for a classification problem described by the joint density pomegax models of pomegaeqomegaxx the bayesian similarity measure have been shown to be an optimal similarity measure for nearest neighbor classification this paper analyzes demonstrates several additional properties of that conditional distribution the paper first shows that we can reconstruct up to class labels the class posterior distribution pomegax given pomegaeqomegaxx gives a procedure for recovering the class labels and gives an asymptotically bayesoptimal classification procedure it also shows given such an optimal similarity measure how to construct a classifier that outperforms the nearest neighbor classifier and achieves bayesoptimal classification rates the paper then analyzes bayesian similarity in a framework where a classifier faces a number of related classification tasks multitask learning and illustrates that reconstruction of the class posterior distribution is not possible in general finally the paper identifies a distinct class of classification problems using pomegaeqomegaxx and shows that using pomegaeqomegaxx to solve those problems is the bayes optimal solution | [['for', 'a', 'classification', 'problem', 'described', 'by', 'the', 'joint', 'density', 'pomegax', 'models', 'of', 'pomegaeqomegaxx', 'the', 'bayesian', 'similarity', 'measure', 'have', 'been', 'shown', 'to', 'be', 'an', 'optimal', 'similarity', 'measure', 'for', 'nearest', 'neighbor', 'classification', 'this', 'paper', 'analyzes', 'demonstrates', 'several', 'additional', 'properties', 'of', 'that', 'conditional', 'distribution', 'the', 'paper', 'first', 'shows', 'that', 'we', 'can', 'reconstruct', 'up', 'to', 'class', 'labels', 'the', 'class', 'posterior', 'distribution', 'pomegax', 'given', 'pomegaeqomegaxx', 'gives', 'a', 'procedure', 'for', 'recovering', 'the', 'class', 'labels', 'and', 'gives', 'an', 'asymptotically', 'bayesoptimal', 'classification', 'procedure', 'it', 'also', 'shows', 'given', 'such', 'an', 'optimal', 'similarity', 'measure', 'how', 'to', 'construct', 'a', 'classifier', 'that', 'outperforms', 'the', 'nearest', 'neighbor', 'classifier', 'and', 'achieves', 'bayesoptimal', 'classification', 'rates', 'the', 'paper', 'then', 'analyzes', 'bayesian', 'similarity', 'in', 'a', 'framework', 'where', 'a', 'classifier', 'faces', 'a', 'number', 'of', 'related', 'classification', 'tasks', 'multitask', 'learning', 'and', 'illustrates', 'that', 'reconstruction', 'of', 'the', 'class', 'posterior', 'distribution', 'is', 'not', 'possible', 'in', 'general', 'finally', 'the', 'paper', 'identifies', 'a', 'distinct', 'class', 'of', 'classification', 'problems', 'using', 'pomegaeqomegaxx', 'and', 'shows', 'that', 'using', 'pomegaeqomegaxx', 'to', 'solve', 'those', 'problems', 'is', 'the', 'bayes', 'optimal', 'solution']] | [-0.039536249123207114, -0.04872882054435011, -0.08168212894165183, 0.09459871247263267, -0.09342954318640719, -0.16304977558935002, 0.07453674189341457, 0.43280352726115945, -0.29787795808490203, -0.3145298565685842, 0.05515827093365955, -0.2747102442561932, -0.20447114993881735, 0.17808763873598882, -0.137022758144249, 0.08322050087790218, 0.09969725834078486, 0.08393713709267771, -0.11003334722980591, -0.28034538020212085, 0.32740611877431225, 0.047258366552985605, 0.3499523343182869, -0.01484493961303223, 0.13504663429668415, -0.0011091949967725306, -0.03276142592452212, 0.04563238998435391, -0.09802540445593454, 0.15330454731368756, 0.28808356408906616, 0.21575492842163405, 0.32262923187281217, -0.248525809797441, -0.1980183855023073, 0.1599120372061774, 0.14295685899831492, 0.11332965234977117, -0.03359973625358055, -0.283505657515691, 0.11252928142846556, -0.18263060938543785, -0.05145245346512576, -0.13812888093344775, -0.015767180771561144, -0.011841784231364727, -0.3455527247195797, 0.07732614487541915, 0.08194010932452583, 0.005990578552927845, -0.07563543893824916, -0.10040265550006829, 0.05066370169823029, 0.12869162248991292, 0.03862989102692708, 0.05812360936347742, 0.07618954544308486, -0.12733884618519256, -0.15608299489318167, 0.3376530665869576, -0.03822961349730085, -0.22668347747198173, 0.16817794263331068, -0.039418053197217466, -0.18531568635324513, 0.09454529057112263, 0.21160381572517734, 0.14298471527301376, -0.20635785410030288, 0.033762215921607934, -0.0952648429991099, 0.16208417715666734, 0.026861320913882103, -0.05200529799352672, 0.1521061324045895, 0.20612232881939466, 0.10483319202571043, 0.17618170258392413, -0.14502540365098657, -0.06467122527060637, -0.25021261295523517, -0.13756346632003413, -0.23135439337589864, -0.012981094098819842, -0.11634034649230343, -0.1922214296449378, 0.414161983854282, 0.1853749262984634, 0.22868811804801226, 0.16099915348618113, 0.2393214931676847, 0.08117316481049942, -0.0015242377181120957, 0.12092878668343429, 0.18697517004257402, 0.09315115649120084, -0.0015103104918391115, -0.1724397212654491, 0.1099851215648702, 0.10678640052080386] |
712.0131 | Learning Similarity for Character Recognition and 3D Object Recognition | I describe an approach to similarity motivated by Bayesian methods. This
yields a similarity function that is learnable using a standard Bayesian
methods. The relationship of the approach to variable kernel and variable
metric methods is discussed. The approach is related to variable kernel
Experimental results on character recognition and 3D object recognition are
presented..
| cs.CV | i describe an approach to similarity motivated by bayesian methods this yields a similarity function that is learnable using a standard bayesian methods the relationship of the approach to variable kernel and variable metric methods is discussed the approach is related to variable kernel experimental results on character recognition and 3d object recognition are presented | [['i', 'describe', 'an', 'approach', 'to', 'similarity', 'motivated', 'by', 'bayesian', 'methods', 'this', 'yields', 'a', 'similarity', 'function', 'that', 'is', 'learnable', 'using', 'a', 'standard', 'bayesian', 'methods', 'the', 'relationship', 'of', 'the', 'approach', 'to', 'variable', 'kernel', 'and', 'variable', 'metric', 'methods', 'is', 'discussed', 'the', 'approach', 'is', 'related', 'to', 'variable', 'kernel', 'experimental', 'results', 'on', 'character', 'recognition', 'and', '3d', 'object', 'recognition', 'are', 'presented']] | [-0.0013654350472444838, -0.03139738424189008, -0.13151839585466818, 0.1009578416356817, -0.12669399296864867, -0.18344688363034617, 0.033015259437855674, 0.49452372545545753, -0.2852374849671667, -0.26818130378696053, 0.06546103060245514, -0.27027730239047243, -0.2283061112192544, 0.22000018297271295, -0.1451042300598188, 0.12573399027301507, 0.10931715478231623, 0.05076645287282934, -0.10511621951802888, -0.2466047448656437, 0.35241794220425865, 0.04600391796028072, 0.30796459622003813, 0.010731850361282175, 0.15013899139382622, -0.03440780455923893, -0.11796297099102628, 0.02509367418560115, -0.09286022549984574, 0.22374397815967148, 0.24387039719572798, 0.20817595917562193, 0.28477671600200916, -0.290778327119452, -0.2371506070210175, 0.04057394415140152, 0.08988650955090469, 0.06608510804785923, -0.017877660160460933, -0.3319891937246377, 0.08216705572876064, -0.16492365651171315, -0.02805543989789757, -0.1557714320719242, 0.018536564589224078, -0.02204743738878857, -0.31584600589492107, 0.09020940382033586, 0.0853056911082769, 0.03992249740033665, -0.0783295502632179, -0.12169074391607534, 0.11529017707163637, 0.08033264233646067, 0.060142839755016296, 0.09335104967890816, 0.1254108042371544, -0.15022639701227572, -0.15501353973522783, 0.361165282943032, -0.06808718901804903, -0.27747281408784064, 0.21324389749629932, -0.01728358085013249, -0.1385451761074364, 0.08621906113218178, 0.1650504665110599, 0.174165000309321, -0.17929818352515048, 0.0625476462914693, -0.04912319420413538, 0.17712416333908385, -0.03644485525702211, -0.06985082252967087, 0.12237186211753975, 0.23045038519935174, 0.007351445440541614, 0.12477419678206471, -0.1334556934635409, -0.0950606746091084, -0.2536759525537491, -0.1304207235066728, -0.2489376593508165, -0.07512494732033123, -0.12506732980413784, -0.1767178670249202, 0.40468800528482957, 0.20097605034031651, 0.21323982070792805, 0.058083200522444464, 0.29897314575924117, 0.15214094546708193, 0.07178064943714575, 0.02416870171542872, 0.18272894335995343, 0.11565154447982257, 0.0669227642853829, -0.1800083876756782, 0.09242885384539312, 0.15226881567981432] |
712.0132 | On Uniqueness of supersymmetric Black holes in AdS(5) | We study the possibility of having Black hole of spherical and ring horizon
topology with five independent charges in the $U(1)^3$-model of 5D gauge
supergravity. To study these possibilities we consider not only the known
result obtained by local supersymmetry analysis but include the input coming
from non-local properties of the solutions, like the attractor mechanism, the
entropy function of Sen, the Euclidean formulation and general properties of
the uplift to ten dimension. For the spherical case, we found that there is no
room for more general Black holes than the ones already describe in
hep-th/0601156. On the other hand, if a solution of ring horizon topology
exists, we conclude that it must be labeled by three independent parameters
only, since it has to satisfy two independent constraints that we explicitly
find in terms of its chemical potentials. At the end of the article, based on
all the local and non-local information, we put forward a conjecture on the
constraints that characterize general Black holes dual to ${\cal N}=4$ SYM.
| hep-th gr-qc | we study the possibility of having black hole of spherical and ring horizon topology with five independent charges in the u13model of 5d gauge supergravity to study these possibilities we consider not only the known result obtained by local supersymmetry analysis but include the input coming from nonlocal properties of the solutions like the attractor mechanism the entropy function of sen the euclidean formulation and general properties of the uplift to ten dimension for the spherical case we found that there is no room for more general black holes than the ones already describe in hepth0601156 on the other hand if a solution of ring horizon topology exists we conclude that it must be labeled by three independent parameters only since it has to satisfy two independent constraints that we explicitly find in terms of its chemical potentials at the end of the article based on all the local and nonlocal information we put forward a conjecture on the constraints that characterize general black holes dual to cal n4 sym | [['we', 'study', 'the', 'possibility', 'of', 'having', 'black', 'hole', 'of', 'spherical', 'and', 'ring', 'horizon', 'topology', 'with', 'five', 'independent', 'charges', 'in', 'the', 'u13model', 'of', '5d', 'gauge', 'supergravity', 'to', 'study', 'these', 'possibilities', 'we', 'consider', 'not', 'only', 'the', 'known', 'result', 'obtained', 'by', 'local', 'supersymmetry', 'analysis', 'but', 'include', 'the', 'input', 'coming', 'from', 'nonlocal', 'properties', 'of', 'the', 'solutions', 'like', 'the', 'attractor', 'mechanism', 'the', 'entropy', 'function', 'of', 'sen', 'the', 'euclidean', 'formulation', 'and', 'general', 'properties', 'of', 'the', 'uplift', 'to', 'ten', 'dimension', 'for', 'the', 'spherical', 'case', 'we', 'found', 'that', 'there', 'is', 'no', 'room', 'for', 'more', 'general', 'black', 'holes', 'than', 'the', 'ones', 'already', 'describe', 'in', 'hepth0601156', 'on', 'the', 'other', 'hand', 'if', 'a', 'solution', 'of', 'ring', 'horizon', 'topology', 'exists', 'we', 'conclude', 'that', 'it', 'must', 'be', 'labeled', 'by', 'three', 'independent', 'parameters', 'only', 'since', 'it', 'has', 'to', 'satisfy', 'two', 'independent', 'constraints', 'that', 'we', 'explicitly', 'find', 'in', 'terms', 'of', 'its', 'chemical', 'potentials', 'at', 'the', 'end', 'of', 'the', 'article', 'based', 'on', 'all', 'the', 'local', 'and', 'nonlocal', 'information', 'we', 'put', 'forward', 'a', 'conjecture', 'on', 'the', 'constraints', 'that', 'characterize', 'general', 'black', 'holes', 'dual', 'to', 'cal', 'n4', 'sym']] | [-0.11705087829267584, 0.08569823951637816, -0.0679373409851299, 0.08925095547359281, -0.07690515492201182, -0.14978511610145992, 0.01370316781547098, 0.31568922515725717, -0.20203258575583322, -0.2719588105544625, 0.13168541233712208, -0.3028033854414908, -0.14752632045807937, 0.1774419668474279, -0.040450179817049674, 0.008995286033452777, 0.00496292484015049, 0.06894303801042649, -0.09472829123426761, -0.2729704348035046, 0.3731701294087716, 0.01344534284241187, 0.23449372152736897, 0.036068037834151516, 0.10360267023844201, 0.011061442409603236, -0.01410939708390894, 0.06881290047229933, -0.16072454404482933, 0.10853699982163519, 0.18904421664150764, 0.13452634687391332, 0.18322263576001638, -0.45990402396723984, -0.21774517342453778, 0.12601943607400504, 0.11778117137561951, 0.12711891694925725, -0.06078405811708113, -0.22104722121591858, 0.10234386648378513, -0.17111113870591257, -0.15963882068657162, -0.059066135480645154, 0.05943707512536397, -0.04908138165704995, -0.22601313499451084, 0.04986578737208176, 0.08287355803934458, -0.021500535569863304, -0.08088048138597514, -0.06650086251777663, -0.07245675119615737, 0.08765367192002789, 0.10146854516919813, 0.014245718521470692, 0.11897403263442573, -0.127941539706496, -0.11182559450147285, 0.34894241357133504, -0.037722846640463104, -0.21699731115673093, 0.19910491979819545, -0.2023962849052623, -0.1715196445612015, 0.08215655593500872, 0.12435042493078592, 0.17302314452466644, -0.15621462514224863, 0.16000097389353737, -0.059365936674155476, 0.15238779856424248, 0.09701588667147527, 0.0775610894935588, 0.23817294460189128, 0.09757127041008234, 0.08722492647800772, 0.1539638708536153, -0.013294630823934096, -0.09710121174464889, -0.34277834501560955, -0.12439938457655011, -0.15319884663317462, 0.07940105411130173, -0.12949081571536053, -0.15627214783134627, 0.3724861118327161, 0.11996915235899255, 0.19410457342608078, 0.037433575479857005, 0.22771419516448077, 0.09271575340590928, 0.07493179970160349, 0.09016176299857241, 0.30006218146687996, 0.09002300124848261, 0.07829064561796951, -0.21103098220330485, -0.020045675646369568, 0.12011540978814342] |
712.0133 | Mechanism of murine epidermal maintenance: Cell division and the Voter
Model | This paper presents an interesting experimental example of voter-model
statistics in biology. In recent work on mouse tail-skin, where proliferating
cells are confined to a two-dimensional layer, we showed that cells proliferate
and differentiate according to a simple stochastic model of cell division
involving just one type of proliferating cell that may divide both
symmetrically and asymmetrically. Curiously, these simple rules provide
excellent predictions of the cell population dynamics without having to address
their spatial distribution. Yet, if the spatial behaviour of cells is addressed
by allowing cells to diffuse at random, one deduces that density fluctuations
destroy tissue confluence, implying some hidden degree of spatial regulation in
the physical system. To infer the mechanism of spatial regulation, we consider
a two-dimensional model of cell fate that preserves the overall population
dynamics. By identifying the resulting behaviour with a three-species variation
of the "Voter" model, we predict that proliferating cells in the basal layer
should cluster. Analysis of empirical correlations of cells stained for
proliferation activity confirms that the expected clustering behaviour is
indeed seen in nature.
| physics.bio-ph cond-mat.stat-mech q-bio.CB | this paper presents an interesting experimental example of votermodel statistics in biology in recent work on mouse tailskin where proliferating cells are confined to a twodimensional layer we showed that cells proliferate and differentiate according to a simple stochastic model of cell division involving just one type of proliferating cell that may divide both symmetrically and asymmetrically curiously these simple rules provide excellent predictions of the cell population dynamics without having to address their spatial distribution yet if the spatial behaviour of cells is addressed by allowing cells to diffuse at random one deduces that density fluctuations destroy tissue confluence implying some hidden degree of spatial regulation in the physical system to infer the mechanism of spatial regulation we consider a twodimensional model of cell fate that preserves the overall population dynamics by identifying the resulting behaviour with a threespecies variation of the voter model we predict that proliferating cells in the basal layer should cluster analysis of empirical correlations of cells stained for proliferation activity confirms that the expected clustering behaviour is indeed seen in nature | [['this', 'paper', 'presents', 'an', 'interesting', 'experimental', 'example', 'of', 'votermodel', 'statistics', 'in', 'biology', 'in', 'recent', 'work', 'on', 'mouse', 'tailskin', 'where', 'proliferating', 'cells', 'are', 'confined', 'to', 'a', 'twodimensional', 'layer', 'we', 'showed', 'that', 'cells', 'proliferate', 'and', 'differentiate', 'according', 'to', 'a', 'simple', 'stochastic', 'model', 'of', 'cell', 'division', 'involving', 'just', 'one', 'type', 'of', 'proliferating', 'cell', 'that', 'may', 'divide', 'both', 'symmetrically', 'and', 'asymmetrically', 'curiously', 'these', 'simple', 'rules', 'provide', 'excellent', 'predictions', 'of', 'the', 'cell', 'population', 'dynamics', 'without', 'having', 'to', 'address', 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712.0134 | Identifying the odd-frequency superconducting state by a field-induced
Josephson effect | Superconducting order parameters that are odd under exchange of
time-coordinates of the electrons constituting a Cooper-pair, are potentially
of great importance both conceptually and technologically. Recent experiments
report that such an odd-frequency superconducting {\it bulk} state may be
realized in certain heavy-fermion compounds. While the Josephson current
normally only flows between superconductors with the same symmetries with
respect to frequency, we demonstrate that an exchange field may induce a
current between diffusive even- and odd-frequency superconductors. This
suggests a way to identify the possible existence of bulk odd-frequency
superconductors.
| cond-mat.supr-con cond-mat.mtrl-sci | superconducting order parameters that are odd under exchange of timecoordinates of the electrons constituting a cooperpair are potentially of great importance both conceptually and technologically recent experiments report that such an oddfrequency superconducting it bulk state may be realized in certain heavyfermion compounds while the josephson current normally only flows between superconductors with the same symmetries with respect to frequency we demonstrate that an exchange field may induce a current between diffusive even and oddfrequency superconductors this suggests a way to identify the possible existence of bulk oddfrequency superconductors | [['superconducting', 'order', 'parameters', 'that', 'are', 'odd', 'under', 'exchange', 'of', 'timecoordinates', 'of', 'the', 'electrons', 'constituting', 'a', 'cooperpair', 'are', 'potentially', 'of', 'great', 'importance', 'both', 'conceptually', 'and', 'technologically', 'recent', 'experiments', 'report', 'that', 'such', 'an', 'oddfrequency', 'superconducting', 'it', 'bulk', 'state', 'may', 'be', 'realized', 'in', 'certain', 'heavyfermion', 'compounds', 'while', 'the', 'josephson', 'current', 'normally', 'only', 'flows', 'between', 'superconductors', 'with', 'the', 'same', 'symmetries', 'with', 'respect', 'to', 'frequency', 'we', 'demonstrate', 'that', 'an', 'exchange', 'field', 'may', 'induce', 'a', 'current', 'between', 'diffusive', 'even', 'and', 'oddfrequency', 'superconductors', 'this', 'suggests', 'a', 'way', 'to', 'identify', 'the', 'possible', 'existence', 'of', 'bulk', 'oddfrequency', 'superconductors']] | [-0.2619889665564353, 0.24971062007435565, -0.02962260789618912, 0.05470011901210951, -0.09818612025331029, -0.17320662819970908, 0.07578052437747829, 0.3743221243441274, -0.23787490035068581, -0.26181538309703517, -0.026868752063654192, -0.3107791172171181, -0.11993341844804077, 0.2320539531805976, 0.027690052472859283, -0.013420933413065293, -0.040188918699806724, -0.014857616995207289, -0.12172162902755769, -0.24648367610379038, 0.32392251305282116, -0.019784059513106265, 0.37675958164882933, 0.08644751408229984, 0.026571836253755133, -0.0712148808683692, 0.14122214805948632, 0.010230293635024944, -0.07992954101188264, 0.06200810945169492, 0.3368857889859514, -0.08253914579241113, 0.18863505391742696, -0.4927764801223847, -0.22612914254634894, 0.09750468170122159, 0.14161824478122237, 0.14600840463059617, -0.07378792180679739, -0.28948429005686194, 0.06649243741677227, -0.17420852813996712, -0.09775743205417795, -0.14824090333422646, -0.024079543878377244, -0.024706086673673286, -0.23538948689714412, 0.06840527878640304, 0.06254697723091919, 0.05057027413700284, -0.0466920391137881, -0.0832309225436554, -0.06420195767846466, 0.024692729755770415, 0.10306422475894744, 0.021634949387093497, 0.08148416050773283, -0.16193925350671634, -0.1195363327702084, 0.3351392134685408, -0.02923312976517164, -0.10874112377959219, 0.18686751840339805, -0.14222684648649936, -0.06645539791365578, 0.08391652228469453, 0.059044719229198316, 0.05196464641167867, -0.156522066008289, 0.041458702507291244, -0.05782047141639685, 0.1745323562380773, 0.02821625217488459, 0.1442066980261271, 0.3036272603679787, 0.20337039822797207, 0.07447371223084205, 0.10787052487483545, -0.08802181347908283, -0.02993552234957778, -0.3112478665901687, -0.19919626411071725, -0.19630792093547908, 0.049805025630782686, -0.03820946803071737, -0.20714354527775536, 0.385150908915834, 0.21981863171888769, 0.18658280269962482, -0.11262015974022109, 0.23363024142401462, 0.09992858925199305, 0.0926978406496346, 0.05036381179194326, 0.257856978592992, 0.14711929028007117, 0.056092531798640266, -0.3080015810238282, 0.12153893100780393, -0.026369221730750392] |
712.0135 | Decomposition of noncommutative U(1) gauge potential | We investigate the decomposition of noncommutative gauge potential
$\hat{A_{i}}$, and find it has inner structure, namely, $\hat{A_{i}}$ can be
decomposed in two parts $\hat{b_{i}}$ and $\hat{a_{i}}$, here $\hat{b_{i}}$
satisfies gauge transformations while $\hat{a_{i}}$ satisfies adjoint
transformations, so dose the Seiberg-Witten mapping of noncommutative U(1)
gauge potential. By means of Seiberg-Witten mapping, we construct a mapping of
unit vector field between noncommutative space and ordinary space, and find the
noncommutative U(1) gauge potential and its gauge field tenser can be expressed
in terms of the unit vector field. When the unit vector field has non
singularity point, noncommutative gauge potential and gauge field tenser will
equal to ordinary gauge potential and gauge field tenser.
| hep-th | we investigate the decomposition of noncommutative gauge potential hata_i and find it has inner structure namely hata_i can be decomposed in two parts hatb_i and hata_i here hatb_i satisfies gauge transformations while hata_i satisfies adjoint transformations so dose the seibergwitten mapping of noncommutative u1 gauge potential by means of seibergwitten mapping we construct a mapping of unit vector field between noncommutative space and ordinary space and find the noncommutative u1 gauge potential and its gauge field tenser can be expressed in terms of the unit vector field when the unit vector field has non singularity point noncommutative gauge potential and gauge field tenser will equal to ordinary gauge potential and gauge field tenser | [['we', 'investigate', 'the', 'decomposition', 'of', 'noncommutative', 'gauge', 'potential', 'hata_i', 'and', 'find', 'it', 'has', 'inner', 'structure', 'namely', 'hata_i', 'can', 'be', 'decomposed', 'in', 'two', 'parts', 'hatb_i', 'and', 'hata_i', 'here', 'hatb_i', 'satisfies', 'gauge', 'transformations', 'while', 'hata_i', 'satisfies', 'adjoint', 'transformations', 'so', 'dose', 'the', 'seibergwitten', 'mapping', 'of', 'noncommutative', 'u1', 'gauge', 'potential', 'by', 'means', 'of', 'seibergwitten', 'mapping', 'we', 'construct', 'a', 'mapping', 'of', 'unit', 'vector', 'field', 'between', 'noncommutative', 'space', 'and', 'ordinary', 'space', 'and', 'find', 'the', 'noncommutative', 'u1', 'gauge', 'potential', 'and', 'its', 'gauge', 'field', 'tenser', 'can', 'be', 'expressed', 'in', 'terms', 'of', 'the', 'unit', 'vector', 'field', 'when', 'the', 'unit', 'vector', 'field', 'has', 'non', 'singularity', 'point', 'noncommutative', 'gauge', 'potential', 'and', 'gauge', 'field', 'tenser', 'will', 'equal', 'to', 'ordinary', 'gauge', 'potential', 'and', 'gauge', 'field', 'tenser']] | [-0.17392602895383427, 0.17403166466062905, -0.08186100810700286, 0.0758085752120324, -0.11626368641556628, -0.1664211917668581, -0.055386748840719195, 0.3709672412637259, -0.26519575688691266, -0.23122576261516167, 0.06579916501949351, -0.21525375808762237, -0.174308459744253, 0.06638107094419214, -0.051095636293654684, 0.0010329242625718822, -0.05243370166476981, 0.09439147276128024, -0.12668200953146525, -0.27565981601612166, 0.3634454460270637, -0.0464807235428742, 0.21725703381306896, 0.02187493611209556, 0.1876766515516602, 0.07655504216085625, -0.020669996235684482, 0.008110798721766281, -0.0663218736871088, 0.06744169356482746, 0.18528761715108974, 0.08148598022330387, 0.1546457444989345, -0.39503458890635357, -0.19106821697081677, 0.15451479044668706, 0.15649009456412982, 0.0173121848230176, -0.0492912709004188, -0.3197530445980683, 0.042346106842160225, -0.1464716061389288, -0.12719255805415292, -0.15137361868622556, -0.011147260387733051, -0.05003497945979254, -0.2736426910979929, 0.005816764025165971, -0.01730060735634998, 0.10624856089728069, -0.08872563349993784, -0.04182151545135848, -0.09331745255853882, 0.05251713987131834, 0.10567992117124057, 0.18399790447386624, 0.1705878823130202, -0.1694587753607636, -0.10427304355641909, 0.4147575098724492, -0.11358158827338995, -0.27902884253885896, 0.09267101443240798, -0.15491527257656135, -0.13335583598839235, 0.08805156515631, 0.09842773393802015, 0.0806633304944674, -0.11762976501277644, 0.2981900997769986, -0.04071437668846508, 0.10351941803088041, 0.09312720328932052, 0.029304297424572627, 0.24966922799636304, -0.006952205765580313, 0.07185889719532126, 0.13150829983570209, -0.01267006727083858, -0.14057160766828244, -0.37931488548298326, -0.23456335155524116, -0.10538870149778318, 0.1372802894628417, -0.14159703848739794, -0.13943175373153877, 0.3827002971161124, 0.09109302730077004, 0.11546354785363759, 0.014274067525129634, 0.18377795419861784, 0.16397715967346346, 0.13152287883552172, -0.013121627171243648, 0.20112833810508646, 0.23226867027918652, 0.022049586216515277, -0.19212027358929668, -0.16959464868563598, 0.19635424145653976] |
712.0136 | Learning View Generalization Functions | Learning object models from views in 3D visual object recognition is usually
formulated either as a function approximation problem of a function describing
the view-manifold of an object, or as that of learning a class-conditional
density. This paper describes an alternative framework for learning in visual
object recognition, that of learning the view-generalization function. Using
the view-generalization function, an observer can perform Bayes-optimal 3D
object recognition given one or more 2D training views directly, without the
need for a separate model acquisition step. The paper shows that view
generalization functions can be computationally practical by restating two
widely-used methods, the eigenspace and linear combination of views approaches,
in a view generalization framework. The paper relates the approach to recent
methods for object recognition based on non-uniform blurring. The paper
presents results both on simulated 3D ``paperclip'' objects and real-world
images from the COIL-100 database showing that useful view-generalization
functions can be realistically be learned from a comparatively small number of
training examples.
| cs.CV | learning object models from views in 3d visual object recognition is usually formulated either as a function approximation problem of a function describing the viewmanifold of an object or as that of learning a classconditional density this paper describes an alternative framework for learning in visual object recognition that of learning the viewgeneralization function using the viewgeneralization function an observer can perform bayesoptimal 3d object recognition given one or more 2d training views directly without the need for a separate model acquisition step the paper shows that view generalization functions can be computationally practical by restating two widelyused methods the eigenspace and linear combination of views approaches in a view generalization framework the paper relates the approach to recent methods for object recognition based on nonuniform blurring the paper presents results both on simulated 3d paperclip objects and realworld images from the coil100 database showing that useful viewgeneralization functions can be realistically be learned from a comparatively small number of training examples | [['learning', 'object', 'models', 'from', 'views', 'in', '3d', 'visual', 'object', 'recognition', 'is', 'usually', 'formulated', 'either', 'as', 'a', 'function', 'approximation', 'problem', 'of', 'a', 'function', 'describing', 'the', 'viewmanifold', 'of', 'an', 'object', 'or', 'as', 'that', 'of', 'learning', 'a', 'classconditional', 'density', 'this', 'paper', 'describes', 'an', 'alternative', 'framework', 'for', 'learning', 'in', 'visual', 'object', 'recognition', 'that', 'of', 'learning', 'the', 'viewgeneralization', 'function', 'using', 'the', 'viewgeneralization', 'function', 'an', 'observer', 'can', 'perform', 'bayesoptimal', '3d', 'object', 'recognition', 'given', 'one', 'or', 'more', '2d', 'training', 'views', 'directly', 'without', 'the', 'need', 'for', 'a', 'separate', 'model', 'acquisition', 'step', 'the', 'paper', 'shows', 'that', 'view', 'generalization', 'functions', 'can', 'be', 'computationally', 'practical', 'by', 'restating', 'two', 'widelyused', 'methods', 'the', 'eigenspace', 'and', 'linear', 'combination', 'of', 'views', 'approaches', 'in', 'a', 'view', 'generalization', 'framework', 'the', 'paper', 'relates', 'the', 'approach', 'to', 'recent', 'methods', 'for', 'object', 'recognition', 'based', 'on', 'nonuniform', 'blurring', 'the', 'paper', 'presents', 'results', 'both', 'on', 'simulated', '3d', 'paperclip', 'objects', 'and', 'realworld', 'images', 'from', 'the', 'coil100', 'database', 'showing', 'that', 'useful', 'viewgeneralization', 'functions', 'can', 'be', 'realistically', 'be', 'learned', 'from', 'a', 'comparatively', 'small', 'number', 'of', 'training', 'examples']] | [-0.002131024314835093, -0.022128200736690893, -0.11089191395634164, 0.05606108352133751, -0.09259006099338517, -0.1534845140233728, -0.014604874340426406, 0.4145134524959657, -0.26704406552591625, -0.3416401884737022, 0.06733141587917796, -0.23777557819805764, -0.22453576160945504, 0.22526791658580164, -0.1772462493153634, 0.0882102345564851, 0.14046008859252282, 0.030561898099143565, -0.10227170681442928, -0.23445937871202874, 0.3237455901876667, 0.026491246910558805, 0.30292571222777537, -0.016866564573892566, 0.13180063053517155, 0.006632327734504217, -0.02169769705146735, 0.036084945329441974, -0.03569093193333556, 0.16336126266878076, 0.2990580243629126, 0.21825999064646937, 0.2975308511860347, -0.39194688156109164, -0.22072582403312863, 0.06680312615612315, 0.17289418213351135, 0.12853722258781394, -0.05626551639247344, -0.3506307206461551, 0.06716269565125306, -0.18071380050358488, -0.02109290647642388, -0.10473783807771533, -0.009483835094372662, -0.036360029698159824, -0.3076848713059052, 0.02259576130359445, 0.09141727887707717, 0.09300718639609347, -0.0863403005088553, -0.09324430154326062, 0.05304414175312828, 0.16428087651873308, 0.021974682745403023, 0.09502873389786225, 0.1473635002650194, -0.21803754435731443, -0.1374980805971355, 0.3871465596013967, -0.0338409068637792, -0.2612674490291407, 0.2012081135022684, -0.02660532968685054, -0.13408640737754557, 0.09985199713803551, 0.22216150258886225, 0.18091645990325897, -0.16847789734041457, 0.029273889653447925, -0.09484367087313814, 0.17996497177461415, 0.03262368572716325, -0.03440518219334384, 0.2369615519016889, 0.21039024108078008, 0.03559070903474442, 0.15872322111663603, -0.14626375089089075, -0.04091083784702659, -0.24426300436212325, -0.09864111744833214, -0.2436152469944554, -0.011391896340582106, -0.11458990134763744, -0.16449261530026518, 0.38081599389099413, 0.1929231960107975, 0.2207917124780332, 0.09919930535173159, 0.3636935502405704, 0.08028000657285714, 0.07218686433187053, 0.05095868535558291, 0.1573189206128181, 0.0034703424324017064, 0.10216661275329965, -0.13468632399518457, 0.0930064250276723, 0.10704296873882413] |
712.0137 | View Based Methods can achieve Bayes-Optimal 3D Recognition | This paper proves that visual object recognition systems using only 2D
Euclidean similarity measurements to compare object views against previously
seen views can achieve the same recognition performance as observers having
access to all coordinate information and able of using arbitrary 3D models
internally. Furthermore, it demonstrates that such systems do not require more
training views than Bayes-optimal 3D model-based systems. For building computer
vision systems, these results imply that using view-based or appearance-based
techniques with carefully constructed combination of evidence mechanisms may
not be at a disadvantage relative to 3D model-based systems. For computational
approaches to human vision, they show that it is impossible to distinguish
view-based and 3D model-based techniques for 3D object recognition solely by
comparing the performance achievable by human and 3D model-based systems.}
| cs.CV | this paper proves that visual object recognition systems using only 2d euclidean similarity measurements to compare object views against previously seen views can achieve the same recognition performance as observers having access to all coordinate information and able of using arbitrary 3d models internally furthermore it demonstrates that such systems do not require more training views than bayesoptimal 3d modelbased systems for building computer vision systems these results imply that using viewbased or appearancebased techniques with carefully constructed combination of evidence mechanisms may not be at a disadvantage relative to 3d modelbased systems for computational approaches to human vision they show that it is impossible to distinguish viewbased and 3d modelbased techniques for 3d object recognition solely by comparing the performance achievable by human and 3d modelbased systems | [['this', 'paper', 'proves', 'that', 'visual', 'object', 'recognition', 'systems', 'using', 'only', '2d', 'euclidean', 'similarity', 'measurements', 'to', 'compare', 'object', 'views', 'against', 'previously', 'seen', 'views', 'can', 'achieve', 'the', 'same', 'recognition', 'performance', 'as', 'observers', 'having', 'access', 'to', 'all', 'coordinate', 'information', 'and', 'able', 'of', 'using', 'arbitrary', '3d', 'models', 'internally', 'furthermore', 'it', 'demonstrates', 'that', 'such', 'systems', 'do', 'not', 'require', 'more', 'training', 'views', 'than', 'bayesoptimal', '3d', 'modelbased', 'systems', 'for', 'building', 'computer', 'vision', 'systems', 'these', 'results', 'imply', 'that', 'using', 'viewbased', 'or', 'appearancebased', 'techniques', 'with', 'carefully', 'constructed', 'combination', 'of', 'evidence', 'mechanisms', 'may', 'not', 'be', 'at', 'a', 'disadvantage', 'relative', 'to', '3d', 'modelbased', 'systems', 'for', 'computational', 'approaches', 'to', 'human', 'vision', 'they', 'show', 'that', 'it', 'is', 'impossible', 'to', 'distinguish', 'viewbased', 'and', '3d', 'modelbased', 'techniques', 'for', '3d', 'object', 'recognition', 'solely', 'by', 'comparing', 'the', 'performance', 'achievable', 'by', 'human', 'and', '3d', 'modelbased', 'systems']] | [-0.02814450545656655, -0.022340136532875476, -0.0787860794516746, 0.0593267517692766, -0.09696491745489766, -0.23171296846339828, -0.016778660204181506, 0.4655858187470585, -0.23986198627972044, -0.37230321535025723, 0.08985107098715162, -0.24490726625663228, -0.20362119668243395, 0.2509483760541116, -0.19349592792787007, 0.12982555943744956, 0.1523925812134621, 0.017863802895590197, -0.11820026992151611, -0.26620723911037203, 0.28631694459181745, 0.022862969712150516, 0.33770042491232743, -0.04513137558751623, 0.10816702241572784, -0.013622712467622478, -0.029319840926291363, 0.079665644429042, -0.048445609445707305, 0.16595454564958345, 0.339566361365911, 0.2167592745172442, 0.232337997709692, -0.4335414500819752, -0.2606028639493161, 0.0794079663555749, 0.2123482572787907, 0.13010769344691653, -0.039782964615938, -0.35313248047896195, 0.12456741451751441, -0.17058163128604065, -0.019252775517088594, -0.1574389194138348, -0.0023723661724943668, -0.04442510016815504, -0.27996981780961505, 0.018628563284437405, 0.09315894264574354, 0.1216838831678615, -0.07186049826123053, -0.07546665553672938, 0.020210264214256313, 0.21699949855064915, 0.011547851832801825, 0.05583793040841556, 0.17126432605255104, -0.18703759796153463, -0.2069039270390931, 0.4189152583858231, 0.021600152536279893, -0.2550552144316498, 0.3131492381726275, -0.06843485810350103, -0.1340772181538341, 0.10831424657772004, 0.18709594918618677, 0.1130713411475881, -0.16215369037672644, -0.008677582631662517, -0.01784478092122299, 0.22639651170175057, 0.029546817619120702, 0.003171348842442967, 0.23765534159974777, 0.16045333653573834, 0.041153678381306236, 0.06831078235063615, -0.08904420054386719, -0.0528251584910322, -0.15049150847517012, -0.10512688733433606, -0.2026819507636901, -0.037765705677657024, -0.0714478277947137, -0.1307226816934417, 0.3018156975886086, 0.27003043279455596, 0.16255332992659532, 0.11641084218354081, 0.39144015559577383, 0.008060130368903629, 0.12486322267068317, 0.07764350752768223, 0.23221218900562235, -0.021618102797219763, 0.12039921793621033, -0.1527677533727001, 0.09615269507776247, 0.08388757155262283] |
712.0138 | Symmetry p-adic invariant integral on Z_p for Bernoulli and euler
polynomials | The main purpose of this paper is to investigate several further interesting
properties of symmetry for the p-adic invariant integral on Z_p.
| math.NT | the main purpose of this paper is to investigate several further interesting properties of symmetry for the padic invariant integral on z_p | [['the', 'main', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'investigate', 'several', 'further', 'interesting', 'properties', 'of', 'symmetry', 'for', 'the', 'padic', 'invariant', 'integral', 'on', 'z_p']] | [-0.2044923368164084, 0.051334014839746735, -0.1686339365233752, 0.10666478514163331, -0.1210844133218581, -0.012581827584654093, -0.036111000412016765, 0.3478336442600597, -0.31020346825773065, -0.2342196875675158, 0.11235661305148494, -0.18694295547902584, -0.1893186430362138, 0.22099743580276315, -0.11080767125399275, 0.0801806158640168, -0.03732670824551447, 0.1145749077920548, -0.10819824194450947, -0.2747677524828098, 0.44372016191482544, 0.02789778584106402, 0.2472223534079438, 0.07758400667543439, 0.06201024933464148, 0.03320194727910513, -0.0615752355449579, -0.10270952534946529, -0.22585022855888714, 0.19462615899233657, 0.2426888137336143, 0.007432676322588866, 0.2435751638840884, -0.35077384004200046, -0.14613473779437217, 0.15836676250381226, 0.16187011649493466, 0.011685593307695606, -0.06816119830314578, -0.25566197220574727, 0.1435761463574388, -0.13550522246144034, -0.17805675730447879, -0.09844689308242364, 0.04898431329903277, 0.027813578701832077, -0.1951477856967937, 0.0021425248123705387, 0.09968571957539428, 0.1390703795477748, -0.08295819552784617, -0.11387434872713956, 0.06646006978685777, 0.07911860837008465, 0.13547422862823374, 0.030328451359475202, 0.05162946203067391, -0.08593065315984529, -0.06642755976116116, 0.4322023351084102, -0.028294127265160732, -0.15292422964491628, 0.1738944978199222, -0.1380592203931883, -0.3103751976635646, 0.06488632887009192, 0.17332076653838158, 0.13959532870318403, -0.15499450037763876, 0.15137366455217655, -0.11498174850236285, 0.09864740954204039, 0.021640222265639088, 0.04669360122220083, 0.18121044574813408, 0.10444399240342053, 0.07449892328374765, 0.2454615765335885, -0.010622193899259648, -0.07151776808314025, -0.3814012035727501, -0.2674599079923196, -0.1582729121966457, 0.10487545626661317, -0.038993737173520705, -0.10238612646406348, 0.48789290338754654, 0.21562449058348482, 0.14741056497124108, 0.07898573636670005, 0.260970213027163, 0.0776670614511452, 0.019343266602266918, -0.06644786305894906, 0.12287262615493753, 0.18705301943489097, -0.015521469843489203, -0.22724334491332146, -0.049109968737783755, 0.12003134986893697] |
712.0139 | Direct definition of a ternary infinite square-free sequence | We propose a new ternary infinite (even full-infinite) square-free sequence.
The sequence is defined both by an iterative method and by a direct definition.
Both definitions are analogous to those of the Thue-Morse sequence. The direct
definition is given by a deterministic finite automaton with output. In short,
the sequence is automatic.
| cs.DM | we propose a new ternary infinite even fullinfinite squarefree sequence the sequence is defined both by an iterative method and by a direct definition both definitions are analogous to those of the thuemorse sequence the direct definition is given by a deterministic finite automaton with output in short the sequence is automatic | [['we', 'propose', 'a', 'new', 'ternary', 'infinite', 'even', 'fullinfinite', 'squarefree', 'sequence', 'the', 'sequence', 'is', 'defined', 'both', 'by', 'an', 'iterative', 'method', 'and', 'by', 'a', 'direct', 'definition', 'both', 'definitions', 'are', 'analogous', 'to', 'those', 'of', 'the', 'thuemorse', 'sequence', 'the', 'direct', 'definition', 'is', 'given', 'by', 'a', 'deterministic', 'finite', 'automaton', 'with', 'output', 'in', 'short', 'the', 'sequence', 'is', 'automatic']] | [-0.1649132757772938, 0.1809853491965138, -0.07987432467166845, 0.09056887559948817, -0.07416734044604442, -0.11366742360862155, 0.047562656622818285, 0.397719174112175, -0.35294097493968757, -0.2605158789265974, 0.09378984000524689, -0.21561385205417288, -0.17251553664020464, 0.19482192344160057, -0.11024726373965249, 0.07412759213726602, 0.09203599201624885, 0.08249054028305645, -0.07715959098719645, -0.24412350226924115, 0.3215293557682433, -0.0058647410021912235, 0.23250848619157777, -0.048758485317960676, 0.10014856082624664, 0.0085042482789825, -0.06965154350972642, -0.00936143321679065, -0.09961721836132746, 0.1142595839303206, 0.2467303457213383, 0.15911812781739762, 0.32451179194464985, -0.3309114961976222, -0.15134455035349317, 0.13975965732014647, 0.12862586654613123, 0.12591002684305697, -0.07484289943514501, -0.23862282530057663, 0.1958466302512177, -0.19705875322916636, -0.023090644572934537, -0.047188923876805636, 0.02701294334495769, 0.0728377809784576, -0.2824133426571886, 0.012581350710973436, 0.1632709981983199, 0.09659164072945714, -0.04903666997401446, -0.09874464593389455, 0.030673531219637132, 0.11628595123286634, -0.04688795979646053, 0.061385133431530466, 0.027616275483559743, -0.048786423680390795, -0.1753787137567997, 0.3365677226992214, -0.11277219791914903, -0.2420158271184739, 0.16018740516886407, -0.06612476212538633, -0.09636966094338134, 0.16017494021969683, 0.02188470643744165, 0.16277370002924227, -0.1354251875195141, 0.08709219588290937, -0.09485507170286249, 0.17077820185644954, 0.07053186712494376, -0.00801140661625301, 0.20628930040288204, 0.17834505824116514, 0.04944884984334018, 0.19288496523365087, 0.023090114292583664, -0.056945311907660584, -0.2893169607565391, -0.16909746168290868, -0.19621808775791935, 0.0506088037372512, -0.07062354223093922, -0.22904670417454898, 0.3671043813228607, 0.08499307998036053, 0.21012584474302975, 0.16002095258776464, 0.31778048165142536, 0.17996494241935365, 0.017051874066465626, -0.0109067636122014, 0.05862671648170434, 0.12418402730962079, 0.03501253969529096, -0.1818444036294286, 0.08313061366789043, 0.2262767860391999] |
712.014 | The von Neumann Entropy of EPR Spin Correlation for the Relativistic
Pairs | Variation of the von Neumann entropy by the Lorentz transformation is
discussed. Taking the spin-singlet state in the center of mass frame, the von
Neumann entropy in the laboratory frame is calculated from the reduced density
matrix obtained by taking the trace over 4-momentum after the Lorentz
transformation. As the model to discuss the EPR spin correlation, it is
supposed that one parent particle splits into a superposition state of various
pair states in various directions. Computing the von Neumann entropy and the
Shannon entropy, we have shown a global behavior of the entropy to see a
relativistic effect. We discuss also the super-relativistic limit,
distinguishability between the two particles of the pair and so on.
| quant-ph | variation of the von neumann entropy by the lorentz transformation is discussed taking the spinsinglet state in the center of mass frame the von neumann entropy in the laboratory frame is calculated from the reduced density matrix obtained by taking the trace over 4momentum after the lorentz transformation as the model to discuss the epr spin correlation it is supposed that one parent particle splits into a superposition state of various pair states in various directions computing the von neumann entropy and the shannon entropy we have shown a global behavior of the entropy to see a relativistic effect we discuss also the superrelativistic limit distinguishability between the two particles of the pair and so on | [['variation', 'of', 'the', 'von', 'neumann', 'entropy', 'by', 'the', 'lorentz', 'transformation', 'is', 'discussed', 'taking', 'the', 'spinsinglet', 'state', 'in', 'the', 'center', 'of', 'mass', 'frame', 'the', 'von', 'neumann', 'entropy', 'in', 'the', 'laboratory', 'frame', 'is', 'calculated', 'from', 'the', 'reduced', 'density', 'matrix', 'obtained', 'by', 'taking', 'the', 'trace', 'over', '4momentum', 'after', 'the', 'lorentz', 'transformation', 'as', 'the', 'model', 'to', 'discuss', 'the', 'epr', 'spin', 'correlation', 'it', 'is', 'supposed', 'that', 'one', 'parent', 'particle', 'splits', 'into', 'a', 'superposition', 'state', 'of', 'various', 'pair', 'states', 'in', 'various', 'directions', 'computing', 'the', 'von', 'neumann', 'entropy', 'and', 'the', 'shannon', 'entropy', 'we', 'have', 'shown', 'a', 'global', 'behavior', 'of', 'the', 'entropy', 'to', 'see', 'a', 'relativistic', 'effect', 'we', 'discuss', 'also', 'the', 'superrelativistic', 'limit', 'distinguishability', 'between', 'the', 'two', 'particles', 'of', 'the', 'pair', 'and', 'so', 'on']] | [-0.09857574892331562, 0.1894653318206901, -0.11638066360787691, 0.06838068676930245, 0.030175166281507067, -0.11036893629833408, 0.007100695383775494, 0.3031566401315934, -0.2936468350822511, -0.212726967619813, 0.053671035997610056, -0.3162342944141963, -0.02883266342965805, 0.15711772372520974, -0.014868111305100762, 0.08564621789542877, 0.0484462829914106, 0.14105253296539835, -0.13984693874524015, -0.1949747050585954, 0.3675836004944437, 0.053503134506552114, 0.3236755427539996, 0.059650492218687484, 0.0984032698623512, 0.05209044239524266, -0.009617654537863058, 0.057447855741433476, -0.1221473410035643, 0.06357219156799028, 0.19439443775817103, 0.1426115344926391, 0.2534501963659473, -0.41092801589680755, -0.2093801203366045, 0.09267334250490303, 0.062174716077582994, 0.10357504297938684, -0.02256626435454287, -0.32173449146034927, -0.009444527635755746, -0.24052426940559046, -0.08083809167146683, -0.03535366433510638, 0.04212674513135267, -0.05288609125570434, -0.21914138061136168, 0.14327429820696125, 0.07679213215546359, 0.01172842508100945, -0.10033505174695798, -0.08126037686901248, -0.06743360847923095, 0.08784312454011778, 0.062155177710456366, -0.0027723004839018636, 0.16131889879622538, -0.08196966978113936, -0.08926148396744596, 0.35723536469690176, -0.05241324505161332, -0.22458446552248104, 0.15111497431872006, -0.18312736655706946, -0.07300035734458463, 0.059890257368755084, 0.08659500455807732, 0.04017788752022645, -0.1528998219286618, 0.0795555911583664, -0.047557065353485875, 0.10934718560386936, 0.09153153895521941, 0.05828568550312649, 0.20273724544955338, 0.054695154119120994, 0.0624809377077643, 0.1996852165047565, -0.09679956292257766, -0.13539062592443887, -0.3466620934722216, -0.23716523388967567, -0.23579008491790812, 0.0739496480592567, -0.07197679005052043, -0.1052752641181502, 0.3854040186447294, 0.08787694694069417, 0.2190944704205638, 0.0010814302965350773, 0.235353992636437, 0.15504904412765705, 0.06612851347612297, 0.08204497093861193, 0.2681683101002937, 0.2074402433820069, 0.09308390466638071, -0.305427093749218, 0.023798400872265514, 0.14728625872698814] |
712.0141 | Electrical detection of spin echoes for phosphorus donors in silicon | The electrical detection of spin echoes via echo tomography is used to
observe decoherence processes associated with the electrical readout of the
spin state of phosphorus donor electrons in silicon near a SiO$_2$ interface.
Using the Carr-Purcell pulse sequence, an echo decay with a time constant of
$1.7\pm0.2 \rm{\mu s}$ is observed, in good agreement with theoretical modeling
of the interaction between donors and paramagnetic interface states. Electrical
spin echo tomography thus can be used to study the spin dynamics in realistic
spin qubit devices for quantum information processing.
| quant-ph | the electrical detection of spin echoes via echo tomography is used to observe decoherence processes associated with the electrical readout of the spin state of phosphorus donor electrons in silicon near a sio_2 interface using the carrpurcell pulse sequence an echo decay with a time constant of 17pm02 rmmu s is observed in good agreement with theoretical modeling of the interaction between donors and paramagnetic interface states electrical spin echo tomography thus can be used to study the spin dynamics in realistic spin qubit devices for quantum information processing | [['the', 'electrical', 'detection', 'of', 'spin', 'echoes', 'via', 'echo', 'tomography', 'is', 'used', 'to', 'observe', 'decoherence', 'processes', 'associated', 'with', 'the', 'electrical', 'readout', 'of', 'the', 'spin', 'state', 'of', 'phosphorus', 'donor', 'electrons', 'in', 'silicon', 'near', 'a', 'sio_2', 'interface', 'using', 'the', 'carrpurcell', 'pulse', 'sequence', 'an', 'echo', 'decay', 'with', 'a', 'time', 'constant', 'of', '17pm02', 'rmmu', 's', 'is', 'observed', 'in', 'good', 'agreement', 'with', 'theoretical', 'modeling', 'of', 'the', 'interaction', 'between', 'donors', 'and', 'paramagnetic', 'interface', 'states', 'electrical', 'spin', 'echo', 'tomography', 'thus', 'can', 'be', 'used', 'to', 'study', 'the', 'spin', 'dynamics', 'in', 'realistic', 'spin', 'qubit', 'devices', 'for', 'quantum', 'information', 'processing']] | [-0.11320649278925711, 0.19973650521986588, -0.041147064077510925, 0.0008802623304883751, 0.03834766030751085, -0.21289313738391305, 0.02538406726605981, 0.4416639706894253, -0.2649214997458575, -0.28688230237850315, 0.05268302526759256, -0.3281932175813473, -0.0482345059032688, 0.2313869506685754, 0.026931245910694426, 0.06339340874260772, 0.06394555545843657, -0.004027053337083773, -0.09785764538316746, -0.11967669406466269, 0.19396575175100164, 0.039846726655279906, 0.2914941514727105, 0.04958270403315847, 0.08814545936903424, 0.06315790718484125, 0.10055984472960569, -0.08296611527859997, -0.08593607227726097, 0.051422717768484415, 0.2935735095806388, 0.01831822545173463, 0.14272292750479465, -0.5148011351401887, -0.2103236020919396, 0.04472300008049214, 0.12420699740184492, 0.16281210530674858, -0.10271336605479375, -0.31104469583945327, -0.006022319924923476, -0.14837923490709176, -0.06693118225944653, -0.04280107512316677, 0.02522751951087894, -0.020338611533404903, -0.2377659823703632, 0.11607828381565514, 0.03182145636371766, 0.0249068724472871, -0.07322608755088511, -0.04772553128828661, -0.037323053654157716, 0.11020979048681623, -0.03207747139601728, 0.06304493826013477, 0.20970392415530226, -0.12240906760980783, -0.17854813724923668, 0.2759734469601947, -0.09762663670208598, -0.10492750987661688, 0.16014215726080988, -0.18673769569055837, -0.010635328699515483, 0.1597793122826751, 0.11369608537021898, 0.10792092139717568, -0.17308375746890736, 0.0049804493443506735, 0.05155551856320895, 0.22946595976108244, 0.02776159117981959, 0.14016849749904384, 0.2549554590983421, 0.2222053276929544, 0.006012466401280312, 0.15267066150940325, -0.17547795927908083, -0.042853380922290886, -0.18843317410667962, -0.21145555792439186, -0.24946957043884846, 0.17001495384768153, -0.07899322699780936, -0.12050683710598543, 0.4117517425008955, 0.14597629305247342, 0.13716009606377044, -0.0700403989601378, 0.31565782314773355, 0.11658543558383172, 0.04889816497033985, 0.02165248416615336, 0.24996506719944184, 0.2660415249594142, 0.12074414790304525, -0.362293935694805, 0.09655886513097317, -0.04783947356673104] |
712.0142 | The Algebra of Graph Invariants - Lower and Upper Bounds for Minimal
Generators | In this paper we study the algebra of graph invariants, focusing mainly on
the invariants of simple graphs.
All other invariants, such as sorted eigenvalues, degree sequences and
canonical permutations, belong to this algebra. In fact, every graph invariant
is a linear combination of the basic graph invariants which we study in this
paper.
To prove that two graphs are isomorphic, a number of basic invariants are
required, which are called separator invariants. The minimal set of separator
invariants is also the minimal basic generator set for the algebra of graph
invariants.
We find lower and upper bounds for the minimal number of generator/separator
invariants needed for proving graph isomorphism.
Finally we find a sufficient condition for Ulam's conjecture to be true based
on Redfield's enumeration formula.
| math.CO math.AC | in this paper we study the algebra of graph invariants focusing mainly on the invariants of simple graphs all other invariants such as sorted eigenvalues degree sequences and canonical permutations belong to this algebra in fact every graph invariant is a linear combination of the basic graph invariants which we study in this paper to prove that two graphs are isomorphic a number of basic invariants are required which are called separator invariants the minimal set of separator invariants is also the minimal basic generator set for the algebra of graph invariants we find lower and upper bounds for the minimal number of generatorseparator invariants needed for proving graph isomorphism finally we find a sufficient condition for ulams conjecture to be true based on redfields enumeration formula | [['in', 'this', 'paper', 'we', 'study', 'the', 'algebra', 'of', 'graph', 'invariants', 'focusing', 'mainly', 'on', 'the', 'invariants', 'of', 'simple', 'graphs', 'all', 'other', 'invariants', 'such', 'as', 'sorted', 'eigenvalues', 'degree', 'sequences', 'and', 'canonical', 'permutations', 'belong', 'to', 'this', 'algebra', 'in', 'fact', 'every', 'graph', 'invariant', 'is', 'a', 'linear', 'combination', 'of', 'the', 'basic', 'graph', 'invariants', 'which', 'we', 'study', 'in', 'this', 'paper', 'to', 'prove', 'that', 'two', 'graphs', 'are', 'isomorphic', 'a', 'number', 'of', 'basic', 'invariants', 'are', 'required', 'which', 'are', 'called', 'separator', 'invariants', 'the', 'minimal', 'set', 'of', 'separator', 'invariants', 'is', 'also', 'the', 'minimal', 'basic', 'generator', 'set', 'for', 'the', 'algebra', 'of', 'graph', 'invariants', 'we', 'find', 'lower', 'and', 'upper', 'bounds', 'for', 'the', 'minimal', 'number', 'of', 'generatorseparator', 'invariants', 'needed', 'for', 'proving', 'graph', 'isomorphism', 'finally', 'we', 'find', 'a', 'sufficient', 'condition', 'for', 'ulams', 'conjecture', 'to', 'be', 'true', 'based', 'on', 'redfields', 'enumeration', 'formula']] | [-0.19077158179180698, 0.0941551088988781, -0.0594798560552299, 0.10199367750575766, -0.13016960560902954, -0.13270554132014514, 0.0012834400776773692, 0.30896342708542945, -0.32694570915400983, -0.33461459682881833, 0.127403853174299, -0.25650386363081634, -0.19059185964241623, 0.17312231744080783, -0.13728220567665994, 0.058147153563797474, 0.11203421739675104, 0.10221448284387588, -0.07471464870497585, -0.2537314614078496, 0.3807842678576708, -0.03382214641943574, 0.19411530682258307, 0.0949826837014407, 0.08568730292469263, -0.004375820454210043, -0.017834349239245057, 0.034000343571417034, -0.20980027294374304, 0.11928704564273357, 0.2719719816222787, 0.1662507403213531, 0.15790041755978018, -0.3933919889878016, -0.07463757252134383, 0.2249718174636364, 0.1226101262755692, 0.07235115346731619, -0.0027340398989617824, -0.19052456405758858, 0.17702828847046476, -0.13188230668299367, -0.08586448676884174, -0.06452911546826362, 0.0584795178771019, 0.0216369815133512, -0.24874204592406748, -0.03932565320492722, 0.09683460934460163, 0.11220271297334693, 0.012766864441335202, -0.09779252497665585, -0.05239818631857634, 0.07956537409126758, -0.040998817417770624, 0.014348783271387219, 0.06655224769143388, -0.08423063293658196, -0.17807240633666516, 0.340939804777503, 0.0077067345730029045, -0.23525240233540534, 0.10296223637647926, -0.12396504220739007, -0.2744897410655394, 0.07997697075828909, 0.11027978172898292, 0.1703694674000144, -0.09772543510142714, 0.1273231964474544, -0.1414929382428527, 0.0613012720271945, 0.09414337815064937, 0.0458911052942276, 0.12029052472114563, 0.08912433184683323, 0.11493380204588174, 0.201249179772567, 0.05493420365825295, -0.013867970142513513, -0.3584234085828066, -0.190000752735883, -0.1777262507500127, 0.05953195686638355, -0.14550026330514812, -0.21272560000326485, 0.47618844275176525, 0.12993178083002568, 0.16236803930625318, 0.1704181750472635, 0.2516014882624149, 0.09702974319714122, 0.058973336909897624, 0.12447759477794171, 0.11651177939586341, 0.21956239668279887, -0.06487933421880007, -0.1285001731477678, 0.0383234003726393, 0.237174937043339] |
712.0143 | Magnetic Complexity in Eruptive Solar Active Regions and Associated
Eruption Parameters | Using an efficient magnetic complexity index in the active-region solar
photosphere, we quantify the preflare strength of the photospheric magnetic
polarity inversion lines in 23 eruptive active regions with flare/CME/ICME
events tracked all the way from the Sun to the Earth. We find that active
regions with more intense polarity inversion lines host statistically stronger
flares and faster, more impulsively accelerated, CMEs. No significant
correlation is found between the strength of the inversion lines and the flare
soft X-ray rise times, the ICME transit times, and the peak $Dst indices of the
induced geomagnetic storms. Corroborating these and previous results, we
speculate on a possible interpretation for the connection between source active
regions, flares, and CMEs. Further work is needed to validate this concept and
uncover its physical details.
| astro-ph | using an efficient magnetic complexity index in the activeregion solar photosphere we quantify the preflare strength of the photospheric magnetic polarity inversion lines in 23 eruptive active regions with flarecmeicme events tracked all the way from the sun to the earth we find that active regions with more intense polarity inversion lines host statistically stronger flares and faster more impulsively accelerated cmes no significant correlation is found between the strength of the inversion lines and the flare soft xray rise times the icme transit times and the peak dst indices of the induced geomagnetic storms corroborating these and previous results we speculate on a possible interpretation for the connection between source active regions flares and cmes further work is needed to validate this concept and uncover its physical details | [['using', 'an', 'efficient', 'magnetic', 'complexity', 'index', 'in', 'the', 'activeregion', 'solar', 'photosphere', 'we', 'quantify', 'the', 'preflare', 'strength', 'of', 'the', 'photospheric', 'magnetic', 'polarity', 'inversion', 'lines', 'in', '23', 'eruptive', 'active', 'regions', 'with', 'flarecmeicme', 'events', 'tracked', 'all', 'the', 'way', 'from', 'the', 'sun', 'to', 'the', 'earth', 'we', 'find', 'that', 'active', 'regions', 'with', 'more', 'intense', 'polarity', 'inversion', 'lines', 'host', 'statistically', 'stronger', 'flares', 'and', 'faster', 'more', 'impulsively', 'accelerated', 'cmes', 'no', 'significant', 'correlation', 'is', 'found', 'between', 'the', 'strength', 'of', 'the', 'inversion', 'lines', 'and', 'the', 'flare', 'soft', 'xray', 'rise', 'times', 'the', 'icme', 'transit', 'times', 'and', 'the', 'peak', 'dst', 'indices', 'of', 'the', 'induced', 'geomagnetic', 'storms', 'corroborating', 'these', 'and', 'previous', 'results', 'we', 'speculate', 'on', 'a', 'possible', 'interpretation', 'for', 'the', 'connection', 'between', 'source', 'active', 'regions', 'flares', 'and', 'cmes', 'further', 'work', 'is', 'needed', 'to', 'validate', 'this', 'concept', 'and', 'uncover', 'its', 'physical', 'details']] | [-0.10427638086366642, 0.2063506144592111, 0.01038207331509966, 0.17120232388060685, -0.0703897087914811, -0.04282712114354581, 0.07588868181392172, 0.49125098733929917, -0.16133555813394196, -0.4029588195407996, 0.03678999659678084, -0.24939681186151574, -0.16779571679217042, 0.2085650708245339, -0.019505532261518965, -0.038275108161997196, 0.061338845785940066, -0.025797491769480985, -0.06756806936618887, -0.16044070795032894, 0.18772485459703603, 0.12395559346077789, 0.22541608916981204, -0.0002963690349133685, 0.02869964489582344, -0.12283586787452805, -0.0767930302718014, -0.017072893235308584, -0.0797050556050749, 0.10405432842162554, 0.15690567118690524, 0.10902452680966235, 0.20909608274814673, -0.4672716830682475, -0.2426795671790387, 0.04915655151671672, 0.15127491065868526, -0.0216425311009516, -0.03571324469726278, -0.29460458918765653, 0.04857079224893823, -0.10145606901642168, -0.10224509563704487, 0.05481579440947826, 0.10555726180245983, -0.014519888846088236, -0.28452358176582493, 0.09380640369317916, 0.05054882210606593, 0.15823992324112623, -0.1074602476446671, -0.033860860785353, -0.0757476075705199, 0.13753758048915188, 0.17401231674102746, 0.05396575087797828, 0.20066231539385626, -0.08750607375259278, -0.1113534637365774, 0.3289541876583826, 0.0006455805196310394, -0.0051949316839454696, 0.21937562927632825, -0.21984679959496134, -0.14414279560151044, 0.22676968224186567, 0.1356201708331355, 0.08735379216068395, -0.0847832721838131, -0.056085162922499876, -0.027149377358000493, 0.1826224072756304, 0.041184724956110585, 0.002072571435746795, 0.2748316919460194, 0.05257586359493871, 0.08613551872986136, 0.15110995893064683, -0.248278310196838, -0.04596423446173503, -0.2741713411232922, -0.12582538659927422, -0.07008704429335921, 0.02957009293095325, -0.12925603597500412, -0.16924010704724424, 0.4617907843530702, 0.19765977878114427, 0.2006941163015199, -0.04757295110903215, 0.2800346680887742, 0.09992752990365261, 0.05325772314040478, 0.17235517548033386, 0.32276226726389723, 0.19096069832630747, 0.19973645664867945, -0.22978075362516392, 0.09384172790669254, 0.08523726577550406] |
712.0144 | Graded modules for Virasoro-like algebra | In this paper, we consider the classification of irreducible ${\bf
Z}$- and ${\bf Z}^2$-graded modules with finite dimensional homogeneous
subspaces over the Virasoro-like algebra. We first prove that such a module is
a uniformly bounded module or a generalized highest weight module. Then we
determine all generalized highest weight irreducible modules. As a consequence,
we also determine all the modules with nonzero center. Finally, we prove that
there does not exist any nontrivial ${\bf Z}$-graded modules of intermediate
series.
| math.RT math.QA | in this paper we consider the classification of irreducible bf z and bf z2graded modules with finite dimensional homogeneous subspaces over the virasorolike algebra we first prove that such a module is a uniformly bounded module or a generalized highest weight module then we determine all generalized highest weight irreducible modules as a consequence we also determine all the modules with nonzero center finally we prove that there does not exist any nontrivial bf zgraded modules of intermediate series | [['in', 'this', 'paper', 'we', 'consider', 'the', 'classification', 'of', 'irreducible', 'bf', 'z', 'and', 'bf', 'z2graded', 'modules', 'with', 'finite', 'dimensional', 'homogeneous', 'subspaces', 'over', 'the', 'virasorolike', 'algebra', 'we', 'first', 'prove', 'that', 'such', 'a', 'module', 'is', 'a', 'uniformly', 'bounded', 'module', 'or', 'a', 'generalized', 'highest', 'weight', 'module', 'then', 'we', 'determine', 'all', 'generalized', 'highest', 'weight', 'irreducible', 'modules', 'as', 'a', 'consequence', 'we', 'also', 'determine', 'all', 'the', 'modules', 'with', 'nonzero', 'center', 'finally', 'we', 'prove', 'that', 'there', 'does', 'not', 'exist', 'any', 'nontrivial', 'bf', 'zgraded', 'modules', 'of', 'intermediate', 'series']] | [-0.18634057569588663, 0.09963998432518749, -0.014862290925428838, -0.01139142207471253, -0.08825067495573548, -0.15706568369288235, -0.03181209000080965, 0.3953274985940396, -0.3740088097468207, -0.10813450180229885, 0.11082973984170327, -0.19112462704836192, -0.18966778173535778, 0.15266752351205087, -0.09098946499708993, -0.06376056022399777, 0.1044033985066263, 0.14367831567938946, -0.12360558535054891, -0.29412248446841877, 0.39550319266847417, -0.0033799362504453975, 0.2379120822665812, 0.019969487453728348, 0.24398576940963917, 0.06028923142960743, -0.02115458352903871, -0.016550685986404932, -0.18705028434128565, 0.07186642608640692, 0.34599576081750516, 0.05954070810134275, 0.22813713745379088, -0.3103283888224182, -0.10234739327260965, 0.28166235022576924, 0.15790310932346915, 0.042856030879377185, 0.020151253612829916, -0.17218010537797893, 0.19276767056965846, -0.2970393630381249, -0.09371961334932453, -0.0760823875972176, 0.0544680455475574, 0.01656008016648172, -0.2721498762110036, 0.017423497827921085, 0.11230452768976175, 0.10962047671922777, -0.16320751687582535, -0.1287424847619207, -0.05803272982799931, 0.07444923524037475, -0.11141211696151833, 0.03224886258875456, 0.05486646053805665, -0.09778391030925411, -0.1416672461878367, 0.3109661902807936, -0.06489492172767303, -0.24734187842924385, 0.18707617183504743, -0.2067850271057149, -0.17291129571444627, 0.06277514833226046, 0.08181731920406411, 0.09752029232397864, -0.036792133746173565, 0.186966104396837, -0.1651296173870752, 0.09257959290348654, 0.08982040202598783, -0.004000342439247083, 0.14341569226824596, 0.052863203012679195, 0.08372041633016654, 0.12681860562791175, -0.0037766205724564534, 0.056134740574450434, -0.41631347082460984, -0.2407611351507374, -0.14571463530352693, 0.10537662964533054, -0.05918953969726144, -0.18956042353441066, 0.43778726177973837, 0.09911660387555044, 0.22332530835926345, 0.12471357071654329, 0.17337915763447556, 0.09050697767134473, 0.09816018792600194, 0.16179799686386426, 0.10697728902679172, 0.17563762506352196, -0.03068322950791379, -0.06864294139123109, -0.056914599508465606, 0.15208772104878207] |
712.0145 | Constraints on Astro-unparticle Physics from SN 1987A | SN 1987A observations have been used to place constraints on the interactions
between standard model particles and unparticles. In this study we calculate
the energy loss from the supernovae core through scalar, pseudo scalar, vector,
pseudo vector unparticle emission from nuclear bremsstrahlung for degenerate
nuclear matter interacting through one pion exchange. In order to examine the
constraints on $d_{\cal U}=1$ we considered the emission of scalar, pseudo
scalar, vector, pseudo vector and tensor through the pair annihilation process
$e^+e^-\to {\cal U} \gamma $. In addition we have re-examined other pair
annihilation processes. The most stringent bounds on the dimensionless coupling
constants for $d_{\cal U} =1$ and $\Lambda_{\cal U}= m_Z$ are obtained from
nuclear bremsstrahlung process for the pseudo scalar and pseudo-vector
couplings $\bigl|\lambda^{\cal P}_{0,1}\bigr|\leq 4\times 10^{-11}$ and for
tensor interaction, the best limit on dimensionless coupling is obtained from
$e^+ e^-\to {\cal U} \gamma$ and we get $\bigl|\lambda^{\cal T}\bigr| \leq
6\times 10^{-6}$.
| hep-ph | sn 1987a observations have been used to place constraints on the interactions between standard model particles and unparticles in this study we calculate the energy loss from the supernovae core through scalar pseudo scalar vector pseudo vector unparticle emission from nuclear bremsstrahlung for degenerate nuclear matter interacting through one pion exchange in order to examine the constraints on d_cal u1 we considered the emission of scalar pseudo scalar vector pseudo vector and tensor through the pair annihilation process eeto cal u gamma in addition we have reexamined other pair annihilation processes the most stringent bounds on the dimensionless coupling constants for d_cal u 1 and lambda_cal u m_z are obtained from nuclear bremsstrahlung process for the pseudo scalar and pseudovector couplings bigllambdacal p_01bigrleq 4times 1011 and for tensor interaction the best limit on dimensionless coupling is obtained from e eto cal u gamma and we get bigllambdacal tbigr leq 6times 106 | [['sn', '1987a', 'observations', 'have', 'been', 'used', 'to', 'place', 'constraints', 'on', 'the', 'interactions', 'between', 'standard', 'model', 'particles', 'and', 'unparticles', 'in', 'this', 'study', 'we', 'calculate', 'the', 'energy', 'loss', 'from', 'the', 'supernovae', 'core', 'through', 'scalar', 'pseudo', 'scalar', 'vector', 'pseudo', 'vector', 'unparticle', 'emission', 'from', 'nuclear', 'bremsstrahlung', 'for', 'degenerate', 'nuclear', 'matter', 'interacting', 'through', 'one', 'pion', 'exchange', 'in', 'order', 'to', 'examine', 'the', 'constraints', 'on', 'd_cal', 'u1', 'we', 'considered', 'the', 'emission', 'of', 'scalar', 'pseudo', 'scalar', 'vector', 'pseudo', 'vector', 'and', 'tensor', 'through', 'the', 'pair', 'annihilation', 'process', 'eeto', 'cal', 'u', 'gamma', 'in', 'addition', 'we', 'have', 'reexamined', 'other', 'pair', 'annihilation', 'processes', 'the', 'most', 'stringent', 'bounds', 'on', 'the', 'dimensionless', 'coupling', 'constants', 'for', 'd_cal', 'u', '1', 'and', 'lambda_cal', 'u', 'm_z', 'are', 'obtained', 'from', 'nuclear', 'bremsstrahlung', 'process', 'for', 'the', 'pseudo', 'scalar', 'and', 'pseudovector', 'couplings', 'bigllambdacal', 'p_01bigrleq', '4times', '1011', 'and', 'for', 'tensor', 'interaction', 'the', 'best', 'limit', 'on', 'dimensionless', 'coupling', 'is', 'obtained', 'from', 'e', 'eto', 'cal', 'u', 'gamma', 'and', 'we', 'get', 'bigllambdacal', 'tbigr', 'leq', '6times', '106']] | [-0.11385142985366385, 0.2284574030546119, 0.01381569196638412, 0.14258737439015662, -0.09996861640074467, -0.1411847254588596, 0.0123252667961768, 0.346550994212865, -0.2279097351498864, -0.25151887851314164, -0.017035445461924363, -0.35796066339605964, -0.02090001168402818, 0.13650129629909438, 0.15706419519527706, 0.023796215893329448, 0.03387939818895649, 0.07951155057290217, -0.0523421758018132, -0.19308912054308364, 0.34430601759939583, -0.015663288637517474, 0.17216401678711377, 0.08088953125391256, 0.07549122923818366, 0.040990874770638605, 0.007621454484005635, -0.1271121539993564, -0.1752632478554104, 0.055125860650740516, 0.1360213955918585, 0.0826793590110626, 0.11501812250856813, -0.3737221946436408, -0.17058444966411068, 0.1886356446209263, 0.14789133604200608, -0.004079401910751806, -0.018177214191874135, -0.33106555057865744, 0.06884155441012636, -0.21251163727326974, -0.05133438705682213, -0.06267951931363928, 0.03548743555674682, -0.06220430594623542, -0.363868698591014, 0.12216374728627302, -0.016100839845446014, -0.023677810724129323, -0.06987311316786234, -0.18593738583621341, -0.060406306681437164, -0.014737720277185578, 0.11059482691760766, 0.08475596210258585, 0.16947942191885934, -0.16085641564820213, -0.08663161671358614, 0.41333412663457364, -0.16476096994498418, -0.18322990002028794, 0.1303782576295497, -0.14763192501354874, -0.1384832020408499, 0.1074461762390628, 0.2170273945100505, 0.0825470022076892, -0.16995417694812892, 0.2156629914400558, 0.01452315137961508, 0.12702138993001819, 0.06340200406486622, 0.049769635834554966, 0.1897055395104847, 0.09657588664118226, -0.0042804948469573586, 0.06003232581605442, -0.08435815515474894, -0.06382847701300036, -0.37940729452561384, -0.10390540969643011, -0.12670069572679396, 0.14980752763615265, -0.12847970529853497, -0.0573608144744916, 0.31285793390172234, 0.0829373248412299, 0.2451216069284537, -0.023377812333795166, 0.24513983080868382, 0.1324539577692269, 0.06920197661777304, 0.062206385097925775, 0.352452176969146, 0.2329750053420965, 0.08017363984804801, -0.211124827134316, -0.06016062948745801, 0.08665281352964607] |
712.0146 | The Ring of Graph Invariants - Graphic Values | The ring of graph invariants is spanned by the basic graph invariants which
calculate the number of subgraphs isomorphic to a given graph in other graphs.
These subgraphs counting invariants are not algebraically independent. In our
view the most important problem in graph theory of unlabeled graphs is the
problem of determining graphic values of arbitrary sets of graph invariants.
This corresponds to explaining the syzygy of the graph invariants when the
number of vertices is unbounded. We introduce two methods to explore this
complicated structure. Sets of graphs with a small number of vertices impose
constraints on larger sets. We describe families of inequalities of graph
invariants. These inequalities allow to loop over all values of graph
invariants which look like graphic from the small sets point of view. We also
develop strong notion of graphic values where the existence of the
corresponding graphs is guaranteed once the constraints are satisfied by the
basic graph invariants. These constraints are necessary and sufficient for
graphs whose local neighborhoods are generated by a finite set of locally
connected graphs. The reconstruction of the graph from the basic graph
invariants is shown to be NP-complete in this restricted case. Finally we apply
these results to formulate the problem of Ramsey numbers as an integer
polyhedron problem of moderate and adjustable dimension.
| math.CO math.AC | the ring of graph invariants is spanned by the basic graph invariants which calculate the number of subgraphs isomorphic to a given graph in other graphs these subgraphs counting invariants are not algebraically independent in our view the most important problem in graph theory of unlabeled graphs is the problem of determining graphic values of arbitrary sets of graph invariants this corresponds to explaining the syzygy of the graph invariants when the number of vertices is unbounded we introduce two methods to explore this complicated structure sets of graphs with a small number of vertices impose constraints on larger sets we describe families of inequalities of graph invariants these inequalities allow to loop over all values of graph invariants which look like graphic from the small sets point of view we also develop strong notion of graphic values where the existence of the corresponding graphs is guaranteed once the constraints are satisfied by the basic graph invariants these constraints are necessary and sufficient for graphs whose local neighborhoods are generated by a finite set of locally connected graphs the reconstruction of the graph from the basic graph invariants is shown to be npcomplete in this restricted case finally we apply these results to formulate the problem of ramsey numbers as an integer polyhedron problem of moderate and adjustable dimension | [['the', 'ring', 'of', 'graph', 'invariants', 'is', 'spanned', 'by', 'the', 'basic', 'graph', 'invariants', 'which', 'calculate', 'the', 'number', 'of', 'subgraphs', 'isomorphic', 'to', 'a', 'given', 'graph', 'in', 'other', 'graphs', 'these', 'subgraphs', 'counting', 'invariants', 'are', 'not', 'algebraically', 'independent', 'in', 'our', 'view', 'the', 'most', 'important', 'problem', 'in', 'graph', 'theory', 'of', 'unlabeled', 'graphs', 'is', 'the', 'problem', 'of', 'determining', 'graphic', 'values', 'of', 'arbitrary', 'sets', 'of', 'graph', 'invariants', 'this', 'corresponds', 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712.0147 | Coincidence limit and generalized interaction term structure in
multigravity | Generalized structure of the interaction term of multigravity is analyzed in
detail. The coincidence limit of any multigravity theory is defined and the
compatibility equation for the interaction potential is derived which is
studied in the weak perturbation limit of metric. The most general properties
of the invariant volume and the scalar potential of multigravity are
investigated. The general formula for multigravity invariant volume using three
means (arithmetic, geometric and harmonic) is derived. The Pauli-Fierz mass
term for bigravity in the weak field limit is obtained.
| hep-th | generalized structure of the interaction term of multigravity is analyzed in detail the coincidence limit of any multigravity theory is defined and the compatibility equation for the interaction potential is derived which is studied in the weak perturbation limit of metric the most general properties of the invariant volume and the scalar potential of multigravity are investigated the general formula for multigravity invariant volume using three means arithmetic geometric and harmonic is derived the paulifierz mass term for bigravity in the weak field limit is obtained | [['generalized', 'structure', 'of', 'the', 'interaction', 'term', 'of', 'multigravity', 'is', 'analyzed', 'in', 'detail', 'the', 'coincidence', 'limit', 'of', 'any', 'multigravity', 'theory', 'is', 'defined', 'and', 'the', 'compatibility', 'equation', 'for', 'the', 'interaction', 'potential', 'is', 'derived', 'which', 'is', 'studied', 'in', 'the', 'weak', 'perturbation', 'limit', 'of', 'metric', 'the', 'most', 'general', 'properties', 'of', 'the', 'invariant', 'volume', 'and', 'the', 'scalar', 'potential', 'of', 'multigravity', 'are', 'investigated', 'the', 'general', 'formula', 'for', 'multigravity', 'invariant', 'volume', 'using', 'three', 'means', 'arithmetic', 'geometric', 'and', 'harmonic', 'is', 'derived', 'the', 'paulifierz', 'mass', 'term', 'for', 'bigravity', 'in', 'the', 'weak', 'field', 'limit', 'is', 'obtained']] | [-0.19524924017842263, 0.09936698819348198, -0.06847229290233794, 0.1677951855926103, -0.05030780942937316, -0.10845378383474294, -0.05025022088273883, 0.2650953859610613, -0.22100042521027674, -0.2610091551228665, 0.08123546084091283, -0.2551893126544391, -0.1521467625401741, 0.1550726589508528, -0.014190584264132519, 0.046973236962384, 0.002630319514008629, 0.11055237938498341, -0.07769479837571812, -0.2266402871992309, 0.39997683470354006, 0.041038136705918625, 0.2435364611988324, 0.08690943422342845, 0.1255646551157846, 0.03099878157792223, -0.018293862664249053, 0.059780043517347684, -0.1534981926589078, 0.12248954331762223, 0.15574920646775903, 0.0579402023753108, 0.17812914548842454, -0.35133837483996566, -0.23993904495525153, 0.07615021481936754, 0.09520498244633335, 0.09877145157038603, -0.054614317819995935, -0.2867608276780608, 0.08145276971464586, -0.1733577192631052, -0.19305027026119967, -0.06955487272420595, 0.03147436161444327, 0.0008975106702987538, -0.2834485019970046, 0.11951203240883039, 0.0364965776977844, 0.04274221189146818, -0.08333149245062973, -0.0755064626045655, -0.02180764869635188, 0.09572821769993319, 0.07652815745948532, 0.03460548651339703, 0.091893290868029, -0.1539814322158088, -0.039883289779915454, 0.4224049027922542, -0.15746716882080533, -0.25361593405521193, 0.1234347193317791, -0.13181285889342773, -0.15358356093489672, 0.07053518771237238, 0.07836588980023597, 0.13778883831164, -0.217390406281866, 0.24324419404458536, -0.004017760072899766, 0.11386167896954819, 0.10337552100658244, 0.06636951807047088, 0.15670969163955645, 0.12193917305761039, 0.015469217185624117, 0.12746738151750028, -0.027491196832987806, -0.16298029024890343, -0.3523843349932238, -0.14024363089959288, -0.1903177403714941, 0.04986091800640489, -0.14106278294013125, -0.1632506745964895, 0.359980286142334, 0.07280522002297085, 0.09954451269816694, 0.07058039989706866, 0.23372580690497566, 0.2159840484734538, 0.053789382483701895, -0.0025812715595198233, 0.3264243449842514, 0.21590869936572257, 0.053703420600572295, -0.20782268203816615, -0.04219585411293909, 0.1573709546653337] |
712.0148 | A Brand-new Research Method of Neuroendocrine System | In this paper, we present the empirical investigation results on the
neuroendocrine system by bipartite graphs. This neuroendocrine network model
can describe the structural characteristic of neuroendocrine system. The act
degree distribution and cumulate act degree distribution show so-called shifted
power law-SPL function forms. In neuroendocrine network, the act degree stands
for the number of the cells that secretes a single mediator, in which
bFGF(basic fibroblast growth factor) is the largest node act degree. It is an
important mitogenic cytokine, followed by TGF-beta, IL-6, IL1-beta, VEGF,
IGF-1and so on. They are critical in neuroendocrine system to maintain bodily
healthiness, emotional stabilization and endocrine harmony. The average act
degree of neuroendocrine network is h = 3.01, It means each mediator is
secreted by three cells on an average . The similarity that stand for the
average probability of secreting the same mediators by all the neuroendocrine
cells is s = 0.14. Our results may be used in the research of the medical
treatment of neuroendocrine diseases.
| nlin.AO q-bio.NC | in this paper we present the empirical investigation results on the neuroendocrine system by bipartite graphs this neuroendocrine network model can describe the structural characteristic of neuroendocrine system the act degree distribution and cumulate act degree distribution show socalled shifted power lawspl function forms in neuroendocrine network the act degree stands for the number of the cells that secretes a single mediator in which bfgfbasic fibroblast growth factor is the largest node act degree it is an important mitogenic cytokine followed by tgfbeta il6 il1beta vegf igf1and so on they are critical in neuroendocrine system to maintain bodily healthiness emotional stabilization and endocrine harmony the average act degree of neuroendocrine network is h 301 it means each mediator is secreted by three cells on an average the similarity that stand for the average probability of secreting the same mediators by all the neuroendocrine cells is s 014 our results may be used in the research of the medical treatment of neuroendocrine diseases | [['in', 'this', 'paper', 'we', 'present', 'the', 'empirical', 'investigation', 'results', 'on', 'the', 'neuroendocrine', 'system', 'by', 'bipartite', 'graphs', 'this', 'neuroendocrine', 'network', 'model', 'can', 'describe', 'the', 'structural', 'characteristic', 'of', 'neuroendocrine', 'system', 'the', 'act', 'degree', 'distribution', 'and', 'cumulate', 'act', 'degree', 'distribution', 'show', 'socalled', 'shifted', 'power', 'lawspl', 'function', 'forms', 'in', 'neuroendocrine', 'network', 'the', 'act', 'degree', 'stands', 'for', 'the', 'number', 'of', 'the', 'cells', 'that', 'secretes', 'a', 'single', 'mediator', 'in', 'which', 'bfgfbasic', 'fibroblast', 'growth', 'factor', 'is', 'the', 'largest', 'node', 'act', 'degree', 'it', 'is', 'an', 'important', 'mitogenic', 'cytokine', 'followed', 'by', 'tgfbeta', 'il6', 'il1beta', 'vegf', 'igf1and', 'so', 'on', 'they', 'are', 'critical', 'in', 'neuroendocrine', 'system', 'to', 'maintain', 'bodily', 'healthiness', 'emotional', 'stabilization', 'and', 'endocrine', 'harmony', 'the', 'average', 'act', 'degree', 'of', 'neuroendocrine', 'network', 'is', 'h', '301', 'it', 'means', 'each', 'mediator', 'is', 'secreted', 'by', 'three', 'cells', 'on', 'an', 'average', 'the', 'similarity', 'that', 'stand', 'for', 'the', 'average', 'probability', 'of', 'secreting', 'the', 'same', 'mediators', 'by', 'all', 'the', 'neuroendocrine', 'cells', 'is', 's', '014', 'our', 'results', 'may', 'be', 'used', 'in', 'the', 'research', 'of', 'the', 'medical', 'treatment', 'of', 'neuroendocrine', 'diseases']] | [-0.13149899003170343, 0.14582609167912697, -0.02266506770039213, 0.01157367145981569, -0.017401345274587976, -0.12145432176162736, 0.04141268761986218, 0.35884633942955185, -0.23838864493219158, -0.2825337303036093, 0.05447876134731135, -0.296214908243546, -0.22685344470370136, 0.16690763582540322, -0.08969984118107564, -0.009625932994822506, 0.0269382868015172, 0.08482373792742956, 0.10348474514844556, -0.25956018981719065, 0.2570890095998545, 0.0741841445173744, 0.29740519470924254, 0.03776384928982846, 0.08243947035538716, 0.010205715808492813, 0.022222363590439664, -0.008351155146337526, -0.10434687785154777, 0.10959586841231093, 0.22286798730433646, 0.16703315867889154, 0.2941955448234383, -0.39796692702353376, -0.20475302535238898, 0.1277893988498121, 0.11808866125979472, 0.05062843272182501, 0.004797963470462238, -0.24291164844143617, 0.0716575751555612, -0.15929694923167367, -0.10326165562684211, -0.033784496918087825, -0.004835082050796032, 0.05814685904357547, -0.2780068274233726, 0.09440408308424433, 0.04848511044386939, 0.11251453517735759, -0.05226949093085301, -0.15523034549403725, -0.07837677590808348, 0.2080302026617942, -0.015384797203572631, 0.050193258340152196, 0.18984117461781053, -0.13365843994366122, -0.09356271097572119, 0.3202009104380879, -0.013638133978871982, -0.19930812242275836, 0.14127200986980756, -0.11133857738651053, -0.11377279636968823, 0.0895259756273649, 0.184514478830432, 0.1008939898856164, -0.15000171086137903, -0.008358256140564674, -0.05586538102501367, 0.18527821196785457, 0.07807932870869254, -0.012033170796459235, 0.1528452402923869, 0.20501265150739492, 0.04757959127007642, 0.11078090097127435, -0.05575801016279508, -0.04522973933784716, -0.2282375357927212, -0.18402732461189875, -0.14724892551665889, 0.05703225831171097, -0.10123188613491764, -0.12633864690042748, 0.40044610601955954, 0.08387795090454313, 0.18719076458364725, 0.03335274820572614, 0.22337380084842798, 0.05495837835898576, 0.12126120579535071, 0.04784019577281573, 0.1681317632746753, 0.07981524539741545, 0.06161001803577418, -0.2300466737544895, 0.15665487607917453, 0.042143682965454704] |
712.0149 | The Quantum Measurement Problem: State of Play | This is a preliminary version of an article to appear in the forthcoming
Ashgate Companion to the New Philosophy of Physics. I don't advocate any
particular approach to the measurement problem (not here, at any rate!) but I
do focus on the importance of decoherence theory to modern attempts to solve
the measurement problem, and I am fairly sharply critical of some aspects of
the "traditional" formulation.
| quant-ph | this is a preliminary version of an article to appear in the forthcoming ashgate companion to the new philosophy of physics i dont advocate any particular approach to the measurement problem not here at any rate but i do focus on the importance of decoherence theory to modern attempts to solve the measurement problem and i am fairly sharply critical of some aspects of the traditional formulation | [['this', 'is', 'a', 'preliminary', 'version', 'of', 'an', 'article', 'to', 'appear', 'in', 'the', 'forthcoming', 'ashgate', 'companion', 'to', 'the', 'new', 'philosophy', 'of', 'physics', 'i', 'dont', 'advocate', 'any', 'particular', 'approach', 'to', 'the', 'measurement', 'problem', 'not', 'here', 'at', 'any', 'rate', 'but', 'i', 'do', 'focus', 'on', 'the', 'importance', 'of', 'decoherence', 'theory', 'to', 'modern', 'attempts', 'to', 'solve', 'the', 'measurement', 'problem', 'and', 'i', 'am', 'fairly', 'sharply', 'critical', 'of', 'some', 'aspects', 'of', 'the', 'traditional', 'formulation']] | [-0.08653619777143115, 0.06912130386428378, -0.10978114934793363, 0.05475713635061049, -0.12622911223407948, -0.14237876379664874, 0.04862602668017092, 0.3098376644634162, -0.2837199216115881, -0.286461882109782, 0.10446255387576071, -0.2580136447636919, -0.14833984027306238, 0.1728064809435499, -0.15861876924155335, 0.018373423016093897, 0.06345768107778647, 0.028663012537766586, -0.09800163003136263, -0.26937533308977657, 0.3401304209731858, 0.08847010165283625, 0.25452166636982426, 0.09040056502756973, 0.04363051844385071, 0.021703363734890114, -0.053594209550117906, 0.00478054878697025, -0.1705081639458623, 0.11798842743420127, 0.2623810955520832, 0.19613841533745555, 0.3334034559401599, -0.41695573036982253, -0.17192563202358238, 0.11174718649867414, 0.1382287348281931, 0.1746495303161668, -0.020321187409783968, -0.20390723568076888, 0.06760449460566495, -0.17522008491284918, -0.14729801924532335, -0.0073931365993551235, 0.01916608555863301, -0.04331665358393255, -0.19957851268576854, 0.04284248566678302, 0.11224336573628313, 0.03999521103546475, -0.03269058657513762, -0.12582986130887133, 0.11539110767118858, 0.08270132592367714, 0.050578413936873956, 0.05161877933212302, 0.09143019805725833, -0.15346057002898306, -0.12176125378093937, 0.4149428282892614, -0.015721128004687755, -0.19029430116555004, 0.1988477733719981, -0.1499769612017906, -0.21225709519278485, 0.03289197873549931, 0.17664693180466368, 0.12541487629553585, -0.13971869956532662, 0.06954000789979049, 0.0014014246055122578, 0.15506054556956797, -0.038413682797302805, 0.03707395578649911, 0.2050966502830499, 0.11897243399554017, 0.04503424185201187, 0.024031459621972208, -0.0750372586877678, -0.0838095459268626, -0.35055485623183125, -0.13526663172877196, -0.16838655746048034, 0.06681581850848901, 0.025647888898674864, -0.14326269049761872, 0.3739172816558769, 0.23686030162780575, 0.16941434867454297, 0.025544600525983806, 0.29410704252112546, 0.10440683295724518, 0.02912206581359814, 0.02843234241432087, 0.2647986625780697, 0.10431157671987559, 0.15661613962782378, -0.19391183235513215, 0.034357739421080405, 0.049575208481683425] |
712.015 | Klein's Paradox | We solve the one dimensional Feshbach-Villars equation for spin-1/2 particle
subjected to a scalar smooth potential. The eight component wave function is
given in terms of the hypergeometric functions and via a limiting procedure,
the wave functions of the step potential are deduced. These wave functions are
used to test the validity of the boundary conditions deduced from the
Feshbach-Villars transformation. The creation of pairs is predicted from the
boundary condition of the charge density.
| quant-ph | we solve the one dimensional feshbachvillars equation for spin12 particle subjected to a scalar smooth potential the eight component wave function is given in terms of the hypergeometric functions and via a limiting procedure the wave functions of the step potential are deduced these wave functions are used to test the validity of the boundary conditions deduced from the feshbachvillars transformation the creation of pairs is predicted from the boundary condition of the charge density | [['we', 'solve', 'the', 'one', 'dimensional', 'feshbachvillars', 'equation', 'for', 'spin12', 'particle', 'subjected', 'to', 'a', 'scalar', 'smooth', 'potential', 'the', 'eight', 'component', 'wave', 'function', 'is', 'given', 'in', 'terms', 'of', 'the', 'hypergeometric', 'functions', 'and', 'via', 'a', 'limiting', 'procedure', 'the', 'wave', 'functions', 'of', 'the', 'step', 'potential', 'are', 'deduced', 'these', 'wave', 'functions', 'are', 'used', 'to', 'test', 'the', 'validity', 'of', 'the', 'boundary', 'conditions', 'deduced', 'from', 'the', 'feshbachvillars', 'transformation', 'the', 'creation', 'of', 'pairs', 'is', 'predicted', 'from', 'the', 'boundary', 'condition', 'of', 'the', 'charge', 'density']] | [-0.131957820947282, 0.09905863427557052, -0.09204361406465371, 0.0769770671830823, -0.0481145134785523, -0.09273204940060774, -0.021959206828226645, 0.29056666569163403, -0.24560619911799828, -0.2385232817971458, 0.07712534647900611, -0.2693678695211808, -0.12185927146114409, 0.1988910179041947, 0.07611568036178748, 0.13446366615593433, 0.02688566746811072, 0.059931480834881465, -0.12107510386655727, -0.21314804476996263, 0.39786999707420667, -0.032199333931008975, 0.25935244725396234, 0.06428161647170783, 0.1091152427966396, 0.02917987663919727, 0.005724574824174245, -0.028337042399992546, -0.12880686673646172, 0.06891869399696589, 0.18336800305793682, 0.10009981776277224, 0.2360827184158067, -0.4374399227400621, -0.20795130928357441, 0.08742219551155965, 0.10391558028757572, 0.09465527237082522, -0.030275707071026167, -0.30090905050436656, 0.026253336903949577, -0.14083897357185682, -0.23515408468743165, -0.022355467677116395, -0.021918032635003328, 0.08323996521532535, -0.3235798555612564, 0.12947088644233493, -0.007874392239997785, -0.01565621666610241, -0.1247065380960703, -0.10691601078957319, -0.06538505108716587, 0.09531074286748965, 0.0692657743083934, 0.06128793469319741, 0.1244030310275654, -0.15717232015110008, -0.056468428921264906, 0.3923739089195927, -0.05799698651457826, -0.3072530909627676, 0.17100780968243878, -0.13652402750526865, -0.05693912994116545, 0.1386304131584863, 0.1309914378200968, 0.12913358818739654, -0.1837658355385065, 0.07914143979471798, -0.0034824464386717107, 0.10021554925168553, 0.1095313191662232, -0.0176261133265992, 0.18854859281331302, 0.07453204629321893, 0.033166574419786536, 0.19082166939973833, -0.06965362121040622, -0.09559578354780873, -0.37163076187173527, -0.1705022944137454, -0.21763736730344438, 0.04364818760058067, -0.09027417677124806, -0.18658257871866227, 0.4475602167099714, 0.10542712773739671, 0.16151124127519628, 0.02620094781120618, 0.22126959898819526, 0.25115040014187495, 0.06846111938745404, 0.013299768262853225, 0.20519516104832292, 0.1950136555141459, 0.07601754583418369, -0.21206466419932743, -0.0022582213766872885, 0.13089075320400298] |
712.0151 | Top-Quark FCNC Decay t->cgg in Topcolor-assisted Technicolor Model | The topcolor-assisted technicolor (TC2) model predicts several pseudo-scalars
called top-pions and at loop level they can induce the FCNC top quark decay
t->cgg which is extremely suppressed in the Standard Model (SM). We find that
in the allowed parameter space the TC2 model can greatly enhance such a FCNC
decay and push the branching ratio up to 10^{-3}, which is much larger than the
predictions in the SM (10^{-9}) and in the minimal supersymmetric model
(10^{-4}). We also compare the result with the two-body FCNC decay t-> cg and
find that the branching ratio of t-> cgg is slightly larger than t-> cg. Such
enhanced FCNC top quark decays may serve as a good probe of TC2 model at the
future top quark factory.
| hep-ph | the topcolorassisted technicolor tc2 model predicts several pseudoscalars called toppions and at loop level they can induce the fcnc top quark decay tcgg which is extremely suppressed in the standard model sm we find that in the allowed parameter space the tc2 model can greatly enhance such a fcnc decay and push the branching ratio up to 103 which is much larger than the predictions in the sm 109 and in the minimal supersymmetric model 104 we also compare the result with the twobody fcnc decay t cg and find that the branching ratio of t cgg is slightly larger than t cg such enhanced fcnc top quark decays may serve as a good probe of tc2 model at the future top quark factory | [['the', 'topcolorassisted', 'technicolor', 'tc2', 'model', 'predicts', 'several', 'pseudoscalars', 'called', 'toppions', 'and', 'at', 'loop', 'level', 'they', 'can', 'induce', 'the', 'fcnc', 'top', 'quark', 'decay', 'tcgg', 'which', 'is', 'extremely', 'suppressed', 'in', 'the', 'standard', 'model', 'sm', 'we', 'find', 'that', 'in', 'the', 'allowed', 'parameter', 'space', 'the', 'tc2', 'model', 'can', 'greatly', 'enhance', 'such', 'a', 'fcnc', 'decay', 'and', 'push', 'the', 'branching', 'ratio', 'up', 'to', '103', 'which', 'is', 'much', 'larger', 'than', 'the', 'predictions', 'in', 'the', 'sm', '109', 'and', 'in', 'the', 'minimal', 'supersymmetric', 'model', '104', 'we', 'also', 'compare', 'the', 'result', 'with', 'the', 'twobody', 'fcnc', 'decay', 't', 'cg', 'and', 'find', 'that', 'the', 'branching', 'ratio', 'of', 't', 'cgg', 'is', 'slightly', 'larger', 'than', 't', 'cg', 'such', 'enhanced', 'fcnc', 'top', 'quark', 'decays', 'may', 'serve', 'as', 'a', 'good', 'probe', 'of', 'tc2', 'model', 'at', 'the', 'future', 'top', 'quark', 'factory']] | [-0.05120883298738731, 0.3082792378689458, -0.009452798733169713, 0.15672120515435056, -0.05594531916142479, -0.2264129869655017, 0.13116823119107573, 0.2604856716650652, -0.21685934020584918, -0.29484467102002687, 0.004349322955510239, -0.2999897769659879, -0.016762950838111888, 0.13062662066990222, 0.06483066149862347, 0.04679111286437487, 0.04524327418766916, 0.03843924303811679, -0.04459587914766971, -0.2489720592275262, 0.15818592663135048, 0.029624909578966414, 0.20376620722964892, 0.11396625737197758, -0.015192665477714888, -0.05182633681858822, -0.004277638040437568, -0.05245058481961042, -0.13384359132920154, 0.029375814980395685, 0.14755770013567318, 0.06477740319725883, 0.09097776746725648, -0.3313943825934718, -0.12500832151106703, 0.1810730807880712, 0.1909520651206253, 0.10254556128596205, -0.010266289031663076, -0.3121241461182755, 0.16480958773101476, -0.2404391961929396, -0.07041528368580753, -0.0643493245465575, -0.03820439690451433, -0.13371795740516146, -0.3906461733310082, 0.06253084899811263, -0.029442714735471862, -0.02180910467859206, 0.07192830541511862, -0.22262680501586235, -0.09948966411373965, -0.013915553626536233, 0.11736743362351676, 0.11676200737204682, 0.23816082336205413, -0.2053059908160107, -0.14422308822442603, 0.40152170110827057, -0.2144037388102814, -0.15591861217517436, 0.2004040466239146, -0.22123669456629977, -0.16526173819703566, 0.1235077331236344, 0.20053936526315605, 0.07272249781261615, -0.15590134358442412, 0.1664858893093812, -0.027045891080733117, 0.15785842496386873, 0.04322404892191412, 0.04766165348511886, 0.20757059958371585, 0.26950636940319245, 0.04503093682592962, 0.07173188626993357, -0.055758586990063995, -0.09242883861458641, -0.36280105660889084, -0.14080845322687088, 0.004696207266770364, 0.050142135798464514, -0.13158983443399921, -0.0890424484614192, 0.3706470441974215, 0.1885107380377765, 0.2920315514765377, 0.05688301554305585, 0.25325814255975126, 0.10773197934694012, 0.13449852036054782, 0.05426969941387453, 0.3183088948556442, 0.11603257391881955, 0.12087631754092569, -0.23511694568565222, 0.07678823412312724, 0.07157276646135663] |
712.0152 | Necessary Optimality Conditions for Fractional Action-Like Problems with
Intrinsic and Observer Times | We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions
to fractional action-like variational problems. More general fractional
action-like optimal control problems are also considered.
| math.OC math-ph math.MP | we prove higherorder eulerlagrange and duboisreymond stationary conditions to fractional actionlike variational problems more general fractional actionlike optimal control problems are also considered | [['we', 'prove', 'higherorder', 'eulerlagrange', 'and', 'duboisreymond', 'stationary', 'conditions', 'to', 'fractional', 'actionlike', 'variational', 'problems', 'more', 'general', 'fractional', 'actionlike', 'optimal', 'control', 'problems', 'are', 'also', 'considered']] | [-0.13562299883620732, 0.006586576164092707, -0.054876222477658936, 0.23651431889637656, -0.22122915865569984, -0.20675757972766523, -0.05502783021201258, 0.32597821465005045, -0.3861311330743458, -0.2879813897382954, 0.196346050594002, -0.17816826994733317, -0.18374416134927585, 0.2104557182477868, -0.20796340266647545, 0.25056831599415647, 0.03340790854038104, -0.057987248363054314, -0.12014257559633773, -0.22095152079735114, 0.2937602545539646, -0.13260737178928178, 0.20120981019800124, 0.04772284070191824, 0.15331687733692967, -0.06003525075705155, 0.027703206505342994, 0.04489628990869159, -0.2677530043798944, 0.11529417449365491, 0.32099364276813425, 0.02076650063669228, 0.41026667861834815, -0.4709409753913465, -0.23014751218421303, 0.1391894616510557, 0.06818075208803234, 0.10651988163590431, 0.0346736230288946, -0.35160103537466214, 0.09933784796410929, -0.052887214752643005, -0.21251509091614382, -0.12946501989727435, 0.013756532404247833, 0.07348952588179837, -0.3860515577961569, 0.19273521142642255, 0.07683212698801704, -0.05328791722169389, -0.18156934859555052, -0.1620029137297736, -0.026316241366262344, -0.023589688393732777, -0.021266719812284344, -0.09677828662097454, 0.058776787623925054, -0.08985609441752666, -0.20801302067854482, 0.35531397552593896, 0.025230189481669146, -0.39625747761000757, 0.08111802612066916, -0.01772262722901676, -0.26498378058085625, 0.08410996056931175, 0.17413168756858163, 0.28444819087567536, -0.2233198680712477, 0.05390194884207829, -0.032577727840322514, 0.07904539103417293, 0.12951226093117957, 0.0760292513625008, -0.04909068540386532, 0.04067545614974654, 0.3591508511453867, 0.20790282796825404, 0.04208884068319331, -0.2590403073345837, -0.3905830862729446, -0.11901396666855915, -0.08124024748964154, 0.033898927433335266, -0.10624713995228217, -0.1445879929739496, 0.24039188432304756, 0.14617286936339477, -0.05525660288074742, 0.142268604113032, 0.16661554534474146, 0.33150486737165763, -0.12253458996343872, 0.11279480479171743, 0.16352675304464673, 0.19968210427981356, 0.16515600839224848, -0.23813614735136862, -0.030968053630836632, 0.14778910593494124] |
712.0153 | Generating functional analysis of minority games with inner product
strategy definitions | We use generating functional methods to solve the so-called inner product
versions of the minority game (MG), with fake and/or real market histories, by
generalizing the theory developed recently for look-up table MGs with real
histories. The phase diagrams of the lookup table and inner product MG versions
are generally found to be identical, with the exception of inner product MGs
where histories are sampled linearly, which are found to be structurally
critical. However, we encounter interesting differences both in the theory
(where the role of the history frequency distribution in lookup table MGs is
taken over by the eigenvalue spectrum of a history covariance matrix in inner
product MGs) and in the static and dynamic phenomenology of the models. Our
theoretical predictions are supported by numerical simulations.
| physics.soc-ph | we use generating functional methods to solve the socalled inner product versions of the minority game mg with fake andor real market histories by generalizing the theory developed recently for lookup table mgs with real histories the phase diagrams of the lookup table and inner product mg versions are generally found to be identical with the exception of inner product mgs where histories are sampled linearly which are found to be structurally critical however we encounter interesting differences both in the theory where the role of the history frequency distribution in lookup table mgs is taken over by the eigenvalue spectrum of a history covariance matrix in inner product mgs and in the static and dynamic phenomenology of the models our theoretical predictions are supported by numerical simulations | [['we', 'use', 'generating', 'functional', 'methods', 'to', 'solve', 'the', 'socalled', 'inner', 'product', 'versions', 'of', 'the', 'minority', 'game', 'mg', 'with', 'fake', 'andor', 'real', 'market', 'histories', 'by', 'generalizing', 'the', 'theory', 'developed', 'recently', 'for', 'lookup', 'table', 'mgs', 'with', 'real', 'histories', 'the', 'phase', 'diagrams', 'of', 'the', 'lookup', 'table', 'and', 'inner', 'product', 'mg', 'versions', 'are', 'generally', 'found', 'to', 'be', 'identical', 'with', 'the', 'exception', 'of', 'inner', 'product', 'mgs', 'where', 'histories', 'are', 'sampled', 'linearly', 'which', 'are', 'found', 'to', 'be', 'structurally', 'critical', 'however', 'we', 'encounter', 'interesting', 'differences', 'both', 'in', 'the', 'theory', 'where', 'the', 'role', 'of', 'the', 'history', 'frequency', 'distribution', 'in', 'lookup', 'table', 'mgs', 'is', 'taken', 'over', 'by', 'the', 'eigenvalue', 'spectrum', 'of', 'a', 'history', 'covariance', 'matrix', 'in', 'inner', 'product', 'mgs', 'and', 'in', 'the', 'static', 'and', 'dynamic', 'phenomenology', 'of', 'the', 'models', 'our', 'theoretical', 'predictions', 'are', 'supported', 'by', 'numerical', 'simulations']] | [-0.08640172217565123, 0.10806274498463608, -0.08134245155815734, 0.06459324163097335, -0.046250589799456066, -0.08652213219102123, 0.028222275146617903, 0.39410572254564613, -0.26031911540485453, -0.3316598485871509, 0.13215555549322744, -0.2804299512936268, -0.14647418708045734, 0.1684367435736931, -0.05438162989958073, 0.01681195091077825, 0.05426924589846749, 0.012605141193489544, -0.09014898887835443, -0.2698146452748915, 0.3518198532729002, 0.06629417642761837, 0.23434073419775814, -0.04626594070941792, 0.0014507487712762668, -0.002108734192006523, -0.08378598457784392, 0.04368171371970675, -0.10587601027145865, 0.11841870325042692, 0.27161347205529296, 0.128541118461726, 0.20217410522673163, -0.4310970115548116, -0.17431275202397956, 0.09693712559601408, 0.11470876319162926, 0.04443361380526767, -0.06433039058174472, -0.2426283020322444, 0.08944684736343333, -0.2332397143045455, -0.09732883751348709, -0.0532363646389058, 0.014289891430962598, 0.031177565254438377, -0.2624597217218252, 0.08796624317255919, -0.021036412793364434, 0.03240789709525416, -0.07786845434748102, -0.14262748983310303, -0.046860502437994, 0.13944942545094818, 0.004433727850482683, -0.049921715868549654, 0.15201464266647235, -0.07367603953753132, -0.10506861608155305, 0.39876198858837597, -0.044829076550740865, -0.15676342653750908, 0.15554127284121932, -0.14561757725823554, -0.10882752003817586, 0.12229054936574357, 0.11370534666571075, 0.09489793752436526, -0.11528221904427483, 0.08236684434677954, -0.04402712122100638, 0.16320911739967414, 0.0458821519423509, -0.0035227717476118414, 0.2248126144404523, 0.09852155704720644, 0.040152351158212696, 0.10707023446411768, -0.0203127397580829, -0.20207518314418849, -0.23605865333047404, -0.13903337962983642, -0.16829962201154558, 0.016909174129978055, -0.12259961511119855, -0.19893145667447243, 0.35763082416087855, 0.0880539980425965, 0.21675946313257555, 0.041301943748294434, 0.29629474272951484, 0.0828867654026908, 0.08178219230330797, 0.07651133713443414, 0.16830038436273753, 0.14851800290307438, 0.10587358410975867, -0.1873686364160676, 0.11496441632334609, 0.05974291776510654] |
712.0154 | Bounding the top and bottom electric dipole moments from neutron
experimental data | Heavy quarks, namely, the top and bottom quarks, may show great sensitiveness
to new physics effects. In particular, they might have unusually large electric
dipole moments. This possibility is analyzed via the corresponding one-loop
correction to the neutron electric dipole moment, $d_n$. The current
experimental limit on $d_n$ is used then to derive the uppers bounds
$|d_t|<3.06\times 10^{-15}$ e-cm, $|d_b|<1.22\times 10^{-13}$ e-cm.
| hep-ph | heavy quarks namely the top and bottom quarks may show great sensitiveness to new physics effects in particular they might have unusually large electric dipole moments this possibility is analyzed via the corresponding oneloop correction to the neutron electric dipole moment d_n the current experimental limit on d_n is used then to derive the uppers bounds d_t306times 1015 ecm d_b122times 1013 ecm | [['heavy', 'quarks', 'namely', 'the', 'top', 'and', 'bottom', 'quarks', 'may', 'show', 'great', 'sensitiveness', 'to', 'new', 'physics', 'effects', 'in', 'particular', 'they', 'might', 'have', 'unusually', 'large', 'electric', 'dipole', 'moments', 'this', 'possibility', 'is', 'analyzed', 'via', 'the', 'corresponding', 'oneloop', 'correction', 'to', 'the', 'neutron', 'electric', 'dipole', 'moment', 'd_n', 'the', 'current', 'experimental', 'limit', 'on', 'd_n', 'is', 'used', 'then', 'to', 'derive', 'the', 'uppers', 'bounds', 'd_t306times', '1015', 'ecm', 'd_b122times', '1013', 'ecm']] | [-0.06485467666949508, 0.2647579569207757, -0.005218124411747617, 0.15327225732261915, -0.07253387986319297, -0.07708390424880436, 0.06116226068954378, 0.3279253326482692, -0.20287312737318797, -0.3163156696768888, 0.035614881052840816, -0.293352298312268, -0.019669945620126642, 0.13870123149116792, -0.004262406923571381, 0.010493468288016521, 0.022466127849499678, 0.07512130010557377, -0.06015708259014823, -0.2021196115687016, 0.20440851205612642, 0.023912696002082803, 0.30166595163991894, 0.21165816118088315, 0.04442690038990419, -0.07584622044558242, 0.05083124236977202, -0.0884572161850914, -0.07346289972695759, 0.11315625167246592, 0.1706314453129041, 0.012026619726507846, 0.12474525465740491, -0.4852085843429727, -0.06877091353348756, 0.14959497075780467, 0.16916459385242502, 0.10230544054786027, -0.08142826938409738, -0.28482030488361243, 0.120513727036068, -0.19227965181630294, -0.16944823423558372, -0.12676464792309425, 0.04315469813359491, 0.03358444754602546, -0.3504024875997487, 0.03985762884208964, -0.00818275421131718, -0.012618457993208352, -0.003441849344615209, -0.25281610582970965, 0.014215019121134684, 0.03192739000828084, 0.13859575733510873, 0.06420283391529111, 0.1966517204971258, -0.13286704735108257, -0.10951909888535738, 0.37139070103481664, -0.11367690834706112, -0.16070141951095754, 0.1293624061696484, -0.2426365640614245, -0.15354125069107039, 0.09899684406374976, 0.21718836979845824, 0.10849452920068624, -0.19723825256924254, 0.1252940108958174, 0.02710532974767483, 0.1538245251907383, 0.053236104642688215, -0.008964980068474503, 0.276765985193394, 0.14429587933236843, 0.006237806345857048, 0.10154787713061955, -0.15045417316052748, -0.03840008741086823, -0.3286481264276209, -0.0485163650917426, -0.12926565498208342, 0.10532930363916744, -0.13742075720777286, -0.1196110459593109, 0.36654059330033045, 0.1616772012489106, 0.1407754209397708, -0.025041995806840515, 0.2852542787924472, 0.1570155678348521, 0.10209068538368506, 0.03899406769975894, 0.3346290798636816, 0.2273146148960469, 0.09842444931441066, -0.26248659644181194, 0.032790421745029545, 0.10190590364479665] |
712.0155 | Quantum Gravity Partition Functions in Three Dimensions | We consider pure three-dimensional quantum gravity with a negative
cosmological constant. The sum of known contributions to the partition function
from classical geometries can be computed exactly, including quantum
corrections. However, the result is not physically sensible, and if the model
does exist, there are some additional contributions. One possibility is that
the theory may have long strings and a continuous spectrum. Another possibility
is that complex geometries need to be included, possibly leading to a
holomorphically factorized partition function. We analyze the subleading
corrections to the Bekenstein-Hawking entropy and show that these can be
correctly reproduced in such a holomorphically factorized theory. We also
consider the Hawking-Page phase transition between a thermal gas and a black
hole and show that it is a phase transition of Lee-Yang type, associated with a
condensation of zeros in the complex temperature plane. Finally, we analyze
pure three-dimensional supergravity, with similar results.
| hep-th | we consider pure threedimensional quantum gravity with a negative cosmological constant the sum of known contributions to the partition function from classical geometries can be computed exactly including quantum corrections however the result is not physically sensible and if the model does exist there are some additional contributions one possibility is that the theory may have long strings and a continuous spectrum another possibility is that complex geometries need to be included possibly leading to a holomorphically factorized partition function we analyze the subleading corrections to the bekensteinhawking entropy and show that these can be correctly reproduced in such a holomorphically factorized theory we also consider the hawkingpage phase transition between a thermal gas and a black hole and show that it is a phase transition of leeyang type associated with a condensation of zeros in the complex temperature plane finally we analyze pure threedimensional supergravity with similar results | [['we', 'consider', 'pure', 'threedimensional', 'quantum', 'gravity', 'with', 'a', 'negative', 'cosmological', 'constant', 'the', 'sum', 'of', 'known', 'contributions', 'to', 'the', 'partition', 'function', 'from', 'classical', 'geometries', 'can', 'be', 'computed', 'exactly', 'including', 'quantum', 'corrections', 'however', 'the', 'result', 'is', 'not', 'physically', 'sensible', 'and', 'if', 'the', 'model', 'does', 'exist', 'there', 'are', 'some', 'additional', 'contributions', 'one', 'possibility', 'is', 'that', 'the', 'theory', 'may', 'have', 'long', 'strings', 'and', 'a', 'continuous', 'spectrum', 'another', 'possibility', 'is', 'that', 'complex', 'geometries', 'need', 'to', 'be', 'included', 'possibly', 'leading', 'to', 'a', 'holomorphically', 'factorized', 'partition', 'function', 'we', 'analyze', 'the', 'subleading', 'corrections', 'to', 'the', 'bekensteinhawking', 'entropy', 'and', 'show', 'that', 'these', 'can', 'be', 'correctly', 'reproduced', 'in', 'such', 'a', 'holomorphically', 'factorized', 'theory', 'we', 'also', 'consider', 'the', 'hawkingpage', 'phase', 'transition', 'between', 'a', 'thermal', 'gas', 'and', 'a', 'black', 'hole', 'and', 'show', 'that', 'it', 'is', 'a', 'phase', 'transition', 'of', 'leeyang', 'type', 'associated', 'with', 'a', 'condensation', 'of', 'zeros', 'in', 'the', 'complex', 'temperature', 'plane', 'finally', 'we', 'analyze', 'pure', 'threedimensional', 'supergravity', 'with', 'similar', 'results']] | [-0.11277021822127382, 0.15470901479782073, -0.1075442764851821, 0.11658595068905278, -0.06102052504734305, -0.1589792357982705, 0.0189358259460595, 0.3441797191770935, -0.2380911035513218, -0.2428322906087109, 0.07659924697152795, -0.3080639747915252, -0.1767618580277534, 0.15000714910304136, -0.03192589229016546, 0.021975487401871472, 0.008237791241415396, 0.03833697591251975, -0.11755485092320998, -0.22207473910760583, 0.3542362915839525, -0.012997296873180058, 0.21781701896489666, 0.09354305719556724, 0.04987965687646862, -0.055140770865516775, 0.03464040863983983, 0.07665248737114187, -0.14669176551002397, 0.02322812722339576, 0.2375735673340875, 0.08524631689796412, 0.16949971810908326, -0.40109945520533613, -0.2502984908540677, 0.14566787092980849, 0.14217357761257846, 0.15432593886484236, -0.027087879420301858, -0.22143527626641243, 0.04876020751681004, -0.19672524732781338, -0.15870823538018353, -0.11280544608481378, 0.0017818217384535195, -0.05118167204797993, -0.25573271547050386, 0.08684094013367318, 0.05483229568965683, -0.061114279653301976, -0.04927098764975449, -0.06157054822585677, -0.05435020968180475, 0.12132121509116069, 0.05286687514166529, 0.07176040181415093, 0.11757189675153001, -0.11817797600922969, -0.12496015248857689, 0.3807428780218099, -0.06913260036287204, -0.22024099452533577, 0.1734302337711127, -0.1924927132219801, -0.13717650972469242, 0.13944222621507193, 0.10095372240351289, 0.12811545387610493, -0.12414036151146729, 0.12654972789401264, -0.02677121992229215, 0.18665347202687255, 0.051554844892840054, 0.022507392651332704, 0.2794836472982428, 0.05346739947508346, 0.009734867538728645, 0.18029090665177686, -0.023916484347791506, -0.13537231191755242, -0.35204239519650504, -0.1545426192562152, -0.16619680467571113, 0.11149217483547326, -0.11458819777649693, -0.20948161802335874, 0.33999570678519525, 0.11227173724363326, 0.22319631464779377, 0.041908018424600714, 0.2618129925377317, 0.1422259453434072, 0.07702513898085278, 0.0745517088150318, 0.2476427906168228, 0.11423120565318672, 0.05269366317591161, -0.21865228670938316, -0.006003598959166432, 0.09104894287884235] |
712.0156 | Generating functions of Cauchy-Stieltjes type for orthogonal polynomials | We characterize by the use of free probability the family of measures for
which the mulitiplicative renormalization method applies with $h(x) =
(1-x)^_{-1}$. This provides a representation formula for their Voiculescu
Transforms.
| math.PR | we characterize by the use of free probability the family of measures for which the mulitiplicative renormalization method applies with hx 1x_1 this provides a representation formula for their voiculescu transforms | [['we', 'characterize', 'by', 'the', 'use', 'of', 'free', 'probability', 'the', 'family', 'of', 'measures', 'for', 'which', 'the', 'mulitiplicative', 'renormalization', 'method', 'applies', 'with', 'hx', '1x_1', 'this', 'provides', 'a', 'representation', 'formula', 'for', 'their', 'voiculescu', 'transforms']] | [-0.07222231520960729, 0.08902511748795708, -0.18414605987879137, 0.08968169190532839, -0.03426925297826529, -0.09503070387678841, 0.0640090028444926, 0.3602863114327192, -0.2786059853931268, -0.21289707611625394, 0.04320304845459759, -0.2579983791957299, -0.15195430101205906, 0.2319612912212809, -0.08910918375477195, 0.060948653457065426, -0.004906164893570045, 0.08541413332956532, -0.12727971878678848, -0.1668150543545683, 0.3586643209060033, -0.0035977784854670366, 0.290510930493474, 0.040207562036812305, 0.1271077912611266, 0.09349874306159715, -0.07892662696540356, -0.05805506162966291, -0.18898265395934383, 0.20466159445544083, 0.21909495815634727, 0.14532972294837238, 0.2682508132110039, -0.2959704633181294, -0.19436380465825398, 0.0985882352416714, 0.07940346733666956, 0.03648995224308844, -0.06238651641954978, -0.2712751961623629, 0.07379282996989786, -0.23259427833060423, -0.18016097739649314, -0.17401182604953647, 0.011157359493275483, 0.02919532631834348, -0.3044601113535464, 0.07800318139294783, 0.061762694269418716, 0.00835930226991574, -0.057473654072964564, -0.06842253735909859, 0.04108212760960062, 0.12332608331926168, 0.02002907848606507, 0.03006343945550422, 0.05938928285613656, -0.07514528717535238, -0.0845854920335114, 0.3546842864151889, -0.07664808003852765, -0.26995759533407787, 0.11150942485158642, -0.12719298720670244, -0.15193271950508158, 0.12538802909354368, 0.10461222790181637, 0.1620054620007674, -0.1427239530098935, 0.1805286550739159, -0.07820377036308249, 0.0506714421013991, 0.05538995936512947, 0.03631080516303579, 0.08726463224738837, 0.07581518379350503, 0.08423322962286571, 0.20875583148250978, -0.07787086175133785, -0.05753864012658596, -0.30798634492481747, -0.23418040008594593, -0.2059790249913931, 0.05391619851191839, -0.09178124184254557, -0.1972421099121372, 0.4069839724029104, 0.12217741838345925, 0.17959824912250041, 0.15810928543796762, 0.19777305995424588, 0.1907212298984329, 0.04547426789843788, 0.06810914248538515, 0.07667918236305317, 0.18685950108338148, 0.035722720560928185, -0.17344993795268238, 0.061816985338615876, 0.21938172820955515] |
712.0157 | Conformal Field Theory In Four And Six Dimensions | The goal of these notes is to give a brief explanation of how
electric-magnetic duality in four dimensions is related to the existence of an
unusual conformal field theory in six dimensions.
| math.RT math-ph math.MP | the goal of these notes is to give a brief explanation of how electricmagnetic duality in four dimensions is related to the existence of an unusual conformal field theory in six dimensions | [['the', 'goal', 'of', 'these', 'notes', 'is', 'to', 'give', 'a', 'brief', 'explanation', 'of', 'how', 'electricmagnetic', 'duality', 'in', 'four', 'dimensions', 'is', 'related', 'to', 'the', 'existence', 'of', 'an', 'unusual', 'conformal', 'field', 'theory', 'in', 'six', 'dimensions']] | [-0.17347748238535132, 0.14437346710883503, -0.1199345188215375, 0.08970281511574285, -0.09849947300972417, -0.12570249948475976, -0.0780166016666044, 0.3211740766419098, -0.15382980811409652, -0.2892500072484836, 0.10456156014697626, -0.2571519250195706, -0.2450001554680057, 0.12270459090359509, -0.12100996999652125, -0.05155123770236969, -0.08481400556047447, 0.07354134199704276, -0.10273730699555017, -0.3232167571550235, 0.3403686006931821, 0.024755468824878335, 0.27408877050038427, 0.1010764722013846, 0.08606975595466793, -0.026395566237624735, -0.033440514700487256, 0.030242235749028623, -0.1466779306938406, 0.1850456906540785, 0.2822878194565419, 0.11343307959032245, 0.19076388297253288, -0.44961881602648646, -0.10538804849784356, 0.006333770113997161, 0.11766259308933513, 0.11874520833953284, -0.04535920669877669, -0.2116024098941125, 0.049413450906286016, -0.10809409682406113, -0.24509677098831162, -0.10231535806087777, 0.054981646931992145, -0.07525359228020534, -0.19013524471665733, 0.05239237085334025, 0.08343981322832406, 0.12781796092167497, -0.10286481870571151, -0.04361027595587075, 0.05962384810845833, 0.10184631157608237, 0.15165432698267978, 0.059996708267135546, 0.04919690148381051, -0.16872160648927093, -0.21070547308772802, 0.3547758857021108, -0.05045575657277368, -0.17143170756753534, 0.23438554165841197, -0.13531829661224037, -0.18763261497952044, 0.11535492428811267, 0.1347988056950271, 0.11517829523654655, -0.1949105862295255, 0.09579738634056412, -0.08971721508578412, 0.11701819776499178, 0.08461127491318621, 0.06570979187381454, 0.2825399640132673, 0.11689731467049569, 0.0397706565563567, 0.17566325911320746, -0.000927202170714736, -0.11433013912755996, -0.4501146310940385, -0.18471906051854603, -0.11292715516174212, 0.1462670155451633, -0.08277286496013403, -0.13515911532158498, 0.4254101592232473, 0.1967312895772011, 0.18949190765852109, -0.03986345516750589, 0.18219919555122033, 0.09878255386138335, 0.03169974638149142, -0.029506665625376627, 0.21173678513150662, 0.22303205111529678, 0.08691464611547417, -0.17868969377013855, -0.1103897604480153, 0.17611341428710148] |
712.0158 | Role of the conduction electrons in mediating exchange interactions in
Heusler alloys | Because of large spatial separation of the Mn atoms in Heusler alloys the Mn
3d states belonging to different atoms do not overlap considerably. Therefore
an indirect exchange interaction between Mn atoms should play a crucial role in
the ferromagnetism of the systems. To study the nature of the ferromagnetism of
various Mn-based semi- and full-Heusler alloys we perform a systematic
first-principles calculation of the exchange interactions in these materials.
The calculation of the exchange parameters is based on the frozen-magnon
approach. The calculations show that the magnetism of the Mn-based Heusler
alloys depends strongly on the number of conduction electrons, their spin
polarization and the position of the unoccupied Mn 3d states with respect to
the Fermi level. Various magnetic phases are obtained depending on the
combination of these characteristics. The Anderson's s-d model is used to
perform a qualitative analysis of the obtained results. The conditions leading
to diverse magnetic behavior are identified. If the spin polarization of the
conduction electrons at the Fermi energy is large and the unoccupied Mn 3d
states lie well above the Fermi level, an RKKY-type ferromagnetic interaction
is dominating. On the other hand, the contribution of the antiferromagnetic
superexchange becomes important if unoccupied Mn 3d states lie close to the
Fermi energy. The resulting magnetic behavior depends on the competition of
these two exchange mechanisms. The calculational results are in good
correlation with the conclusions made on the basis of the Anderson s-d model
which provides useful framework for the analysis of the results of
first-principles calculations and helps to formulate the conditions for high
Curie temperature.
| cond-mat.mtrl-sci cond-mat.str-el | because of large spatial separation of the mn atoms in heusler alloys the mn 3d states belonging to different atoms do not overlap considerably therefore an indirect exchange interaction between mn atoms should play a crucial role in the ferromagnetism of the systems to study the nature of the ferromagnetism of various mnbased semi and fullheusler alloys we perform a systematic firstprinciples calculation of the exchange interactions in these materials the calculation of the exchange parameters is based on the frozenmagnon approach the calculations show that the magnetism of the mnbased heusler alloys depends strongly on the number of conduction electrons their spin polarization and the position of the unoccupied mn 3d states with respect to the fermi level various magnetic phases are obtained depending on the combination of these characteristics the andersons sd model is used to perform a qualitative analysis of the obtained results the conditions leading to diverse magnetic behavior are identified if the spin polarization of the conduction electrons at the fermi energy is large and the unoccupied mn 3d states lie well above the fermi level an rkkytype ferromagnetic interaction is dominating on the other hand the contribution of the antiferromagnetic superexchange becomes important if unoccupied mn 3d states lie close to the fermi energy the resulting magnetic behavior depends on the competition of these two exchange mechanisms the calculational results are in good correlation with the conclusions made on the basis of the anderson sd model which provides useful framework for the analysis of the results of firstprinciples calculations and helps to formulate the conditions for high curie temperature | [['because', 'of', 'large', 'spatial', 'separation', 'of', 'the', 'mn', 'atoms', 'in', 'heusler', 'alloys', 'the', 'mn', '3d', 'states', 'belonging', 'to', 'different', 'atoms', 'do', 'not', 'overlap', 'considerably', 'therefore', 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'made', 'on', 'the', 'basis', 'of', 'the', 'anderson', 'sd', 'model', 'which', 'provides', 'useful', 'framework', 'for', 'the', 'analysis', 'of', 'the', 'results', 'of', 'firstprinciples', 'calculations', 'and', 'helps', 'to', 'formulate', 'the', 'conditions', 'for', 'high', 'curie', 'temperature']] | [-0.15439355650165487, 0.15285588602265254, -0.020126984798446088, 0.08368801032983751, -0.019862220722760233, -0.10583827835595551, 0.08482758323398401, 0.3786773277270906, -0.26179330286060304, -0.3180387389611119, -0.016733204000541624, -0.33910838743706917, -0.0964609877180027, 0.16112456463391558, 0.08115560576794142, -0.02399185489849978, 0.025426196966118197, -0.010245806411049276, -0.12549873322362678, -0.22654853536624392, 0.32640500261870053, 0.07066338188981391, 0.3042720206011579, 0.12118037271945965, 0.017476174755478805, 0.03348834708295675, 0.08808875044913224, 0.0024481607706479305, -0.12304397743079429, 0.12884932730724719, 0.2300034012790453, -0.054820846780730445, 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712.0159 | Boundary Ring: a way to construct approximate NG solutions with polygon
boundary conditions: I. Z_n-symmetric configurations | We describe an algebro-geometric construction of polygon-bounded minimal
surfaces in ADS_5, based on consideration of what we call the "boundary ring"
of polynomials. The first non-trivial example of the Nambu-Goto (NG) solutions
for Z_6-symmetric hexagon is considered in some detail. Solutions are
represented as power series, of which only the first terms are evaluated. The
NG equations leave a number of free parameters (a free function). Boundary
conditions, which fix the free parameters, are imposed on truncated series. It
is still unclear if explicit analytic formulas can be found in this way, but
even approximate solutions, obtained by truncation of power series, can be
sufficient to investigate the Alday-Maldacena -- BDS/BHT version of the
string/gauge duality.
| hep-th | we describe an algebrogeometric construction of polygonbounded minimal surfaces in ads_5 based on consideration of what we call the boundary ring of polynomials the first nontrivial example of the nambugoto ng solutions for z_6symmetric hexagon is considered in some detail solutions are represented as power series of which only the first terms are evaluated the ng equations leave a number of free parameters a free function boundary conditions which fix the free parameters are imposed on truncated series it is still unclear if explicit analytic formulas can be found in this way but even approximate solutions obtained by truncation of power series can be sufficient to investigate the aldaymaldacena bdsbht version of the stringgauge duality | [['we', 'describe', 'an', 'algebrogeometric', 'construction', 'of', 'polygonbounded', 'minimal', 'surfaces', 'in', 'ads_5', 'based', 'on', 'consideration', 'of', 'what', 'we', 'call', 'the', 'boundary', 'ring', 'of', 'polynomials', 'the', 'first', 'nontrivial', 'example', 'of', 'the', 'nambugoto', 'ng', 'solutions', 'for', 'z_6symmetric', 'hexagon', 'is', 'considered', 'in', 'some', 'detail', 'solutions', 'are', 'represented', 'as', 'power', 'series', 'of', 'which', 'only', 'the', 'first', 'terms', 'are', 'evaluated', 'the', 'ng', 'equations', 'leave', 'a', 'number', 'of', 'free', 'parameters', 'a', 'free', 'function', 'boundary', 'conditions', 'which', 'fix', 'the', 'free', 'parameters', 'are', 'imposed', 'on', 'truncated', 'series', 'it', 'is', 'still', 'unclear', 'if', 'explicit', 'analytic', 'formulas', 'can', 'be', 'found', 'in', 'this', 'way', 'but', 'even', 'approximate', 'solutions', 'obtained', 'by', 'truncation', 'of', 'power', 'series', 'can', 'be', 'sufficient', 'to', 'investigate', 'the', 'aldaymaldacena', 'bdsbht', 'version', 'of', 'the', 'stringgauge', 'duality']] | [-0.16420221196312923, 0.08941038623652275, -0.09094910990929098, 0.11009534629764468, -0.10254355869879614, -0.1194685899286664, -0.021897946611196466, 0.3203394531530129, -0.26591844244727064, -0.2523519081192457, 0.1595542862892866, -0.21958016453858623, -0.15620642366619514, 0.20031239287709468, -0.08014124366556123, 0.035793234527643235, 0.03839274708713804, 0.08983300343555, -0.09124210581545153, -0.27576761147689205, 0.31869989312586505, 0.0265581204190052, 0.22476906360160293, 0.03476872764128659, 0.08779263814046447, -0.0472801417802527, -0.014445864054973103, 0.013048891714009057, -0.1776860388844008, 0.10297421136731698, 0.22657038663913096, 0.09391156499623321, 0.19980345675971226, -0.4674494104526405, -0.17170061554159993, 0.09970439117335315, 0.1697780106447421, 0.09174376723448015, -0.011029152318120137, -0.2281686453664276, 0.0918470414856399, -0.1696814532790865, -0.1750003302544688, -0.1105393695595142, -0.0005412748349564416, 0.026395928193648745, -0.2551781699231859, 0.04592936785359468, 0.03600250323402828, 0.045608065867522134, -0.08209806953631674, -0.09099448219473873, -0.03142827288944058, 0.092534440993664, 0.07529029558853446, -0.009068443323485553, 0.06017574556504509, -0.15265516266975152, -0.0655066666118468, 0.37840477204632145, -0.045573971476447435, -0.2675444237289152, 0.11644308429718617, -0.14492832799857883, -0.14256434358373685, 0.0995953694052462, 0.09619744667933057, 0.154349318023638, -0.1746745363343507, 0.1689333862990939, -0.08836240990993767, 0.13438911146217183, 0.14299753623241226, 0.0015070048476835446, 0.17779684529107595, 0.08074526626816285, 0.05772707210858893, 0.17825201633344737, 0.018831667897757143, -0.09116266667427096, -0.3903133532148786, -0.12891221087426988, -0.1688423146073806, 0.08215847456761237, -0.09188195033597626, -0.2094632810580411, 0.39968355784990955, 0.10942650717749659, 0.19075865742135129, 0.04931682725145947, 0.2309862931974099, 0.19212801900461532, 0.031232639931009283, 0.06555410338166569, 0.19209840665202396, 0.10669765285170538, -0.0021974282073123114, -0.1810015646728321, 0.012946226941754244, 0.159832517063478] |
712.016 | The structure of 2D semi-simple field theories | I classify all cohomological 2D field theories based on a semi-simple complex
Frobenius algebra A. They are controlled by a linear combination of
kappa-classes and by an extension datum to the Deligne-Mumford boundary. Their
effect on the Gromov-Witten potential is described by Givental's Fock space
formulae. This leads to the reconstruction of Gromov-Witten invariants from the
quantum cup-product at a single semi-simple point and from the first Chern
class, confirming Givental's higher-genus reconstruction conjecture. The proof
uses the Mumford conjecture proved by Madsen and Weiss.
| math.AT math-ph math.AG math.MP | i classify all cohomological 2d field theories based on a semisimple complex frobenius algebra a they are controlled by a linear combination of kappaclasses and by an extension datum to the delignemumford boundary their effect on the gromovwitten potential is described by giventals fock space formulae this leads to the reconstruction of gromovwitten invariants from the quantum cupproduct at a single semisimple point and from the first chern class confirming giventals highergenus reconstruction conjecture the proof uses the mumford conjecture proved by madsen and weiss | [['i', 'classify', 'all', 'cohomological', '2d', 'field', 'theories', 'based', 'on', 'a', 'semisimple', 'complex', 'frobenius', 'algebra', 'a', 'they', 'are', 'controlled', 'by', 'a', 'linear', 'combination', 'of', 'kappaclasses', 'and', 'by', 'an', 'extension', 'datum', 'to', 'the', 'delignemumford', 'boundary', 'their', 'effect', 'on', 'the', 'gromovwitten', 'potential', 'is', 'described', 'by', 'giventals', 'fock', 'space', 'formulae', 'this', 'leads', 'to', 'the', 'reconstruction', 'of', 'gromovwitten', 'invariants', 'from', 'the', 'quantum', 'cupproduct', 'at', 'a', 'single', 'semisimple', 'point', 'and', 'from', 'the', 'first', 'chern', 'class', 'confirming', 'giventals', 'highergenus', 'reconstruction', 'conjecture', 'the', 'proof', 'uses', 'the', 'mumford', 'conjecture', 'proved', 'by', 'madsen', 'and', 'weiss']] | [-0.17638227933647987, 0.03825303808407625, -0.13320982349926935, 0.08542892088127486, -0.10535224784056053, -0.17530632893390516, -0.019262078060658976, 0.2444893271607511, -0.3169384296106942, -0.24522063451654771, 0.062275225182940416, -0.20939504682593157, -0.1923863679061041, 0.21276082231060547, -0.19340001925113884, 0.01816306983065956, 0.031259997320525784, 0.033972240305122206, -0.11037284264149254, -0.31415967730914846, 0.4611827503232395, -0.04462366609368473, 0.2451426439315957, 0.0748273930621936, 0.10038076775038944, 0.0511762393583708, -0.021028670904171817, -0.051055940147831706, -0.1273731425514116, 0.14625396775081753, 0.2971501523957533, 0.034973893051638325, 0.15882973864893704, -0.37714575443635967, -0.14777523269876838, 0.1043323897263583, 0.0878836339832667, 0.09465852294336347, -0.003559164672761279, -0.36835576834924083, 0.08477604176629992, -0.1499568974434891, -0.18223709429011625, -0.1334714577807223, 0.030116432134116834, -0.0359964596984141, -0.20987782125525614, -0.0018335206187604105, 0.0513453260940664, 0.15365600763436627, -0.08523193722700372, -0.08653660721200354, -0.10709602983449312, 0.028641888597870573, -0.04129637256538605, 0.12029951939030606, 0.0970146988004939, -0.12657667871235925, -0.16538902861340082, 0.3446054765406777, -0.06453007450875115, -0.2142675509895472, 0.10638533514266943, -0.13451039331472095, -0.131501363089089, 0.13528500296011128, 0.01669046339195441, 0.17729279015980223, -0.015257778506287758, 0.22032011210283278, -0.08191053725861232, 0.028523195706485933, 0.10092621129553984, -0.05493791155407534, 0.19815940942396135, 0.04677305611069588, 0.03707976221819134, 0.10796685603666394, 0.005885627742528039, -0.032969198744874174, -0.3645123780650251, -0.20137752234552275, -0.17679569935015238, 0.17184986095492016, -0.10481037011537837, -0.17093220281359903, 0.43178657717893226, 0.05249187161962789, 0.16341869187924793, 0.1619020855930798, 0.2395427930442726, 0.08512152643490802, 0.06473219543421531, 0.031824197187362346, 0.1438391746186158, 0.27900203471893775, 0.024576802991899006, -0.155403081152369, -0.04761329205597148, 0.2999911964377936] |
712.0161 | Trial wave functions for High-Pressure Metallic Hydrogen | Many body trial wave functions are the key ingredient for accurate Quantum
Monte Carlo estimates of total electronic energies in many electron systems. In
the Coupled Electron-Ion Monte Carlo method, the accuracy of the trial function
must be conjugated with the efficiency of its evaluation. We report recent
progress in trial wave functions for metallic hydrogen implemented in the
Coupled Electron-Ion Monte Carlo method. We describe and characterize several
types of trial functions of increasing complexity in the range of the coupling
parameter $1.0 \leq r_s \leq1.55$. We report wave function comparisons for
disordered protonic configurations and preliminary results for thermal
averages.
| physics.comp-ph | many body trial wave functions are the key ingredient for accurate quantum monte carlo estimates of total electronic energies in many electron systems in the coupled electronion monte carlo method the accuracy of the trial function must be conjugated with the efficiency of its evaluation we report recent progress in trial wave functions for metallic hydrogen implemented in the coupled electronion monte carlo method we describe and characterize several types of trial functions of increasing complexity in the range of the coupling parameter 10 leq r_s leq155 we report wave function comparisons for disordered protonic configurations and preliminary results for thermal averages | [['many', 'body', 'trial', 'wave', 'functions', 'are', 'the', 'key', 'ingredient', 'for', 'accurate', 'quantum', 'monte', 'carlo', 'estimates', 'of', 'total', 'electronic', 'energies', 'in', 'many', 'electron', 'systems', 'in', 'the', 'coupled', 'electronion', 'monte', 'carlo', 'method', 'the', 'accuracy', 'of', 'the', 'trial', 'function', 'must', 'be', 'conjugated', 'with', 'the', 'efficiency', 'of', 'its', 'evaluation', 'we', 'report', 'recent', 'progress', 'in', 'trial', 'wave', 'functions', 'for', 'metallic', 'hydrogen', 'implemented', 'in', 'the', 'coupled', 'electronion', 'monte', 'carlo', 'method', 'we', 'describe', 'and', 'characterize', 'several', 'types', 'of', 'trial', 'functions', 'of', 'increasing', 'complexity', 'in', 'the', 'range', 'of', 'the', 'coupling', 'parameter', '10', 'leq', 'r_s', 'leq155', 'we', 'report', 'wave', 'function', 'comparisons', 'for', 'disordered', 'protonic', 'configurations', 'and', 'preliminary', 'results', 'for', 'thermal', 'averages']] | [-0.11355469751144105, 0.16049504145002452, -0.033899149384884406, 0.08416059495198845, 0.04287982891811667, -0.07661120682530621, 0.04287535006337163, 0.4271850940208919, -0.18964000377748716, -0.3112687940460325, 0.039510652938129213, -0.31402938561237387, -0.10197052940504976, 0.2629210886425606, 0.0981545873207621, 0.15964820880667907, 0.10888332868050231, -0.08860261306756793, -0.1652529352926073, -0.20283831106406627, 0.2602915292661084, 0.07402420430651654, 0.25264952806894214, 0.08395271331053411, 0.0832505079774684, 0.07648365510314113, -0.015473222595150812, -0.029196636399742917, -0.18905565094912774, 0.06808302587469911, 0.28674220245811016, 0.0869057334332478, 0.30469840802805553, -0.45953865349292755, -0.2077239515757797, 0.07019203864406831, 0.1391823177046078, 0.1314273142523252, -0.052421362047074455, -0.24802709374539922, -0.007935922150269593, -0.2232793817448771, -0.18783224329794987, -0.09772000040416376, -0.03184573155180044, 0.11055272041202181, -0.2703207871406385, 0.11154906161240127, -0.09739688969226462, 0.05892472505790762, -0.04751967164425013, -0.1865280397181021, 0.020516361132964935, 0.061152034300831284, 0.018911617592502716, 0.09730390741462165, 0.15525088154498745, -0.1160153997992857, -0.13503007085113278, 0.3103700776556783, -0.020292694800265944, -0.22581638590119188, 0.18100282016883393, -0.16390064875088114, -0.14453150677301063, 0.18674941473173112, 0.18996359203195218, 0.15957827883366826, -0.13784379450290804, 0.060496339422309454, 0.02490243946457406, 0.1483810469116278, -0.026498896703769516, 0.051815416274297206, 0.14731634974405908, 0.18986113188963494, 0.0012831078406589308, 0.14515185701121383, -0.09625969168794628, -0.15200884459945974, -0.2842539493640018, -0.20123270711510577, -0.22041311459661933, 0.008478661373374052, -0.0914994395095371, -0.2003394532672102, 0.3852851001711765, 0.2054293491591764, 0.09838531195822328, 0.024673315408261547, 0.2560156863090573, 0.11888966298118087, 0.012375349663013574, 0.017546170363479323, 0.22500265764976196, 0.12667940332471292, 0.051521777378229223, -0.26365720860586306, 0.05772163382487021, 0.06821046319172376] |
712.0162 | A multifrequency study of giant radio sources-II. Spectral ageing
analysis of the lobes of selected sources | Multifrequency observations with the GMRT and the VLA are used to determine
the spectral breaks in consecutive strips along the lobes of a sample of
selected giant radio sources (GRSs) in order to estimate their spectral ages.
The maximum spectral ages estimated for the detected radio emission in the
lobes of our sources range from $\sim$6 to 36 Myr with a median value of
$\sim$20 Myr using the classical equipartition fields. Using the magnetic field
estimates from the Beck & Krause formalism the spectral ages range from $\sim$5
to 38 Myr with a median value of $\sim$22 Myr. These ages are significantly
older than smaller sources. In all but one source (J1313+6937) the spectral age
gradually increases with distance from the hotspot regions, confirming that
acceleration of the particles mainly occurs in the hotspots. Most of the GRSs
do not exhibit zero spectral ages in the hotspots, as is the case in earlier
studies of smaller sources. This is likely to be largely due to contamination
by more extended emission due to relatively modest resolutions. The injection
spectral indices range from $\sim$0.55 to 0.88 with a median value of
$\sim$0.6. We discuss these values in the light of theoretical expectations,
and show that the injection spectral index appears to be correlated with
luminosity and/or redshift as well as with linear size.
| astro-ph | multifrequency observations with the gmrt and the vla are used to determine the spectral breaks in consecutive strips along the lobes of a sample of selected giant radio sources grss in order to estimate their spectral ages the maximum spectral ages estimated for the detected radio emission in the lobes of our sources range from sim6 to 36 myr with a median value of sim20 myr using the classical equipartition fields using the magnetic field estimates from the beck krause formalism the spectral ages range from sim5 to 38 myr with a median value of sim22 myr these ages are significantly older than smaller sources in all but one source j13136937 the spectral age gradually increases with distance from the hotspot regions confirming that acceleration of the particles mainly occurs in the hotspots most of the grss do not exhibit zero spectral ages in the hotspots as is the case in earlier studies of smaller sources this is likely to be largely due to contamination by more extended emission due to relatively modest resolutions the injection spectral indices range from sim055 to 088 with a median value of sim06 we discuss these values in the light of theoretical expectations and show that the injection spectral index appears to be correlated with luminosity andor redshift as well as with linear size | [['multifrequency', 'observations', 'with', 'the', 'gmrt', 'and', 'the', 'vla', 'are', 'used', 'to', 'determine', 'the', 'spectral', 'breaks', 'in', 'consecutive', 'strips', 'along', 'the', 'lobes', 'of', 'a', 'sample', 'of', 'selected', 'giant', 'radio', 'sources', 'grss', 'in', 'order', 'to', 'estimate', 'their', 'spectral', 'ages', 'the', 'maximum', 'spectral', 'ages', 'estimated', 'for', 'the', 'detected', 'radio', 'emission', 'in', 'the', 'lobes', 'of', 'our', 'sources', 'range', 'from', 'sim6', 'to', '36', 'myr', 'with', 'a', 'median', 'value', 'of', 'sim20', 'myr', 'using', 'the', 'classical', 'equipartition', 'fields', 'using', 'the', 'magnetic', 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712.0163 | Branching of Hitchin's Prym cover for SL(2) | It is shown that the map from the Jacobian of the spectral curve to the
moduli of stable bundles of rank 2 is generically simply branched along an
irreducible divisor. This observation falsifies the key step in the
"abelianization of the SU(2) WZW connection" presented in a recent paper
[Yoshida, Annals 2006]
| math.AG | it is shown that the map from the jacobian of the spectral curve to the moduli of stable bundles of rank 2 is generically simply branched along an irreducible divisor this observation falsifies the key step in the abelianization of the su2 wzw connection presented in a recent paper yoshida annals 2006 | [['it', 'is', 'shown', 'that', 'the', 'map', 'from', 'the', 'jacobian', 'of', 'the', 'spectral', 'curve', 'to', 'the', 'moduli', 'of', 'stable', 'bundles', 'of', 'rank', '2', 'is', 'generically', 'simply', 'branched', 'along', 'an', 'irreducible', 'divisor', 'this', 'observation', 'falsifies', 'the', 'key', 'step', 'in', 'the', 'abelianization', 'of', 'the', 'su2', 'wzw', 'connection', 'presented', 'in', 'a', 'recent', 'paper', 'yoshida', 'annals', '2006']] | [-0.16645281410623844, 0.06596498630740545, -0.13131719670043543, 0.015760454575334173, -0.08238639584921587, -0.1298552195702751, -0.02032960726781032, 0.3230551289967619, -0.3190621848401721, -0.1837299631263774, 0.11007855031997539, -0.23443608122089735, -0.2325949985668278, 0.1490531311227152, -0.1714238815654356, 0.01073546027048276, 0.04158557736529754, 0.04587438487662719, -0.0738892647339246, -0.3438359915207212, 0.38457720228605186, 0.04018913045561371, 0.26438086815715695, 0.08274519879621668, 0.11137214996135579, 0.019977649293230988, -0.043204687508897714, -0.08685504344220345, -0.11002903580825099, 0.1447272564691957, 0.320175464444149, 0.056489956992803715, 0.13300475716375962, -0.32880332123918027, -0.17874563297328466, 0.19762586735977003, 0.11957630320774534, 0.027932682029831294, 0.018569311162886713, -0.24346211520381844, 0.05159621454703693, -0.16527678093944603, -0.17867824068078056, -0.017784013842734005, 0.09446634780481243, -0.03073128959378944, -0.1714628727372306, 0.01105565616252044, 0.10957664177896312, 0.09652508786306359, -0.01551256923434826, -0.10369608624695012, -0.10099967792092894, 0.042992641715010486, 0.09352286999078038, 0.1319713679751238, 0.05709836493210437, -0.1296643506637058, -0.10324567509815097, 0.32672961799499506, -0.06068748823152138, -0.1452720299936258, 0.11799035672671519, -0.1028849988674315, -0.19521971189309484, 0.18250174834751165, 0.05868746196994415, 0.13146984334553752, -0.03069571535497044, 0.16711444205317932, -0.11010094223400721, 0.11537860226459228, 0.05439476537923418, -0.12740347370541152, 0.17867495616351683, 0.10885528129382202, 0.06404661459740825, 0.09958132159394714, -0.05108724702866031, -0.0903190069545347, -0.394341958543429, -0.23413955194700975, -0.17449001366129288, 0.1591892689645577, -0.10288029563022204, -0.1277099520101239, 0.46935220062732697, 0.07158505081987152, 0.25433724255372697, 0.08999881117891234, 0.22428536934491533, 0.06661911231864136, 0.020322937997452054, 0.05214605453567436, 0.2009327818567936, 0.2501338349941831, -0.0062863447058659335, -0.16612779818779716, -0.04825964854591383, 0.20472340669053105] |
712.0164 | On Decidability Properties of Local Sentences | Local (first order) sentences, introduced by Ressayre, enjoy very nice
decidability properties, following from some stretching theorems stating some
remarkable links between the finite and the infinite model theory of these
sentences. We prove here several additional results on local sentences. The
first one is a new decidability result in the case of local sentences whose
function symbols are at most unary: one can decide, for every regular cardinal
k whether a local sentence phi has a model of order type k. Secondly we show
that this result can not be extended to the general case. Assuming the
consistency of an inaccessible cardinal we prove that the set of local
sentences having a model of order type omega_2 is not determined by the
axiomatic system ZFC + GCH, where GCH is the generalized continuum hypothesis
| cs.LO math.LO | local first order sentences introduced by ressayre enjoy very nice decidability properties following from some stretching theorems stating some remarkable links between the finite and the infinite model theory of these sentences we prove here several additional results on local sentences the first one is a new decidability result in the case of local sentences whose function symbols are at most unary one can decide for every regular cardinal k whether a local sentence phi has a model of order type k secondly we show that this result can not be extended to the general case assuming the consistency of an inaccessible cardinal we prove that the set of local sentences having a model of order type omega_2 is not determined by the axiomatic system zfc gch where gch is the generalized continuum hypothesis | [['local', 'first', 'order', 'sentences', 'introduced', 'by', 'ressayre', 'enjoy', 'very', 'nice', 'decidability', 'properties', 'following', 'from', 'some', 'stretching', 'theorems', 'stating', 'some', 'remarkable', 'links', 'between', 'the', 'finite', 'and', 'the', 'infinite', 'model', 'theory', 'of', 'these', 'sentences', 'we', 'prove', 'here', 'several', 'additional', 'results', 'on', 'local', 'sentences', 'the', 'first', 'one', 'is', 'a', 'new', 'decidability', 'result', 'in', 'the', 'case', 'of', 'local', 'sentences', 'whose', 'function', 'symbols', 'are', 'at', 'most', 'unary', 'one', 'can', 'decide', 'for', 'every', 'regular', 'cardinal', 'k', 'whether', 'a', 'local', 'sentence', 'phi', 'has', 'a', 'model', 'of', 'order', 'type', 'k', 'secondly', 'we', 'show', 'that', 'this', 'result', 'can', 'not', 'be', 'extended', 'to', 'the', 'general', 'case', 'assuming', 'the', 'consistency', 'of', 'an', 'inaccessible', 'cardinal', 'we', 'prove', 'that', 'the', 'set', 'of', 'local', 'sentences', 'having', 'a', 'model', 'of', 'order', 'type', 'omega_2', 'is', 'not', 'determined', 'by', 'the', 'axiomatic', 'system', 'zfc', 'gch', 'where', 'gch', 'is', 'the', 'generalized', 'continuum', 'hypothesis']] | [-0.1452577203102132, 0.0908524657665003, -0.10839648478935514, 0.11994126451322495, -0.12481728849807448, -0.14755530065314762, 0.06298106608029677, 0.3380385541231997, -0.33039095139898944, -0.22902320893898384, 0.06123536711110414, -0.2698104148383127, -0.11156565522246842, 0.15511379124589764, -0.07197415514209711, 0.013695528484887875, 0.031726067962208344, 0.11789711521861991, -0.02257960389451638, -0.30164079276372247, 0.35098462089993504, -0.0544379726269477, 0.2068979018333076, 0.041602735786434655, 0.10040337954814643, -0.02724985181138531, 0.011415635386773789, 0.05722205197688804, -0.14865456551103592, 0.09021390295837686, 0.2720657883823585, 0.16104255998229136, 0.30403200649559053, -0.385277939893248, -0.17737707424189533, 0.1446669080308569, 0.06444629654983308, 0.08036695629942106, 0.039052337860695514, -0.27838284581718936, 0.16528591425366587, -0.15315044327263735, -0.11392214045331661, -0.08165275575176104, 0.022431513086072545, 0.027719624827046003, -0.263442113498615, 0.02486764191677655, 0.2183978926536363, 0.08686009739567317, -0.06838362572763337, -0.07580818373661266, -0.007182623096394228, 0.07545126774417821, 0.03154627390730598, 0.04651888312229803, 0.030422208621774787, -0.10201388372824208, -0.12539034347925612, 0.36099011111490203, -0.08035103773520981, -0.2033133477573335, 0.1873450523430009, -0.1463033243833082, -0.19861057781572664, 0.08085536531089291, 0.029812068662800784, 0.11187502196225435, -0.13834411912222408, 0.13193901721344664, -0.17436905606969524, 0.23729189849500334, 0.13989693877537415, 0.041044429381145164, 0.1728121544992023, 0.12808266723417303, 0.061706025953102275, 0.1599157369467986, 0.02152092315068941, -0.02220384867291953, -0.37184634309873654, -0.10679517455187056, -0.15429635598574445, 0.040377240430141466, -0.1163148924067865, -0.14971070906230763, 0.3553969910396124, 0.15156874909246368, 0.14746390240016713, 0.1597742761290674, 0.22980800281980757, 0.1090312419493323, 0.029579581401776522, 0.0716219507713816, 0.14917669362091432, 0.1345249486951602, 0.027283869757588064, -0.13242774944815006, 0.10450397891951586, 0.15016270318562025] |
712.0165 | On the Accepting Power of 2-Tape B\"uchi Automata | We show that, from a topological point of view, 2-tape B\"uchi automata have
the same accepting power than Turing machines equipped with a B\"uchi
acceptance condition. In particular, we show that for every non null recursive
ordinal alpha, there exist some Sigma^0_alpha-complete and some
Pi^0_alpha-complete infinitary rational relations accepted by 2-tape B\"uchi
automata. This very surprising result gives answers to questions of W. Thomas
[Automata and Quantifier Hierarchies, in: Formal Properties of Finite automata
and Applications, Ramatuelle, 1988, LNCS 386, Springer, 1989, p.104-119], of P.
Simonnet [Automates et Th\'eorie Descriptive, Ph. D. Thesis, Universit\'e Paris
7, March 1992], and of H. Lescow and W. Thomas [Logical Specifications of
Infinite Computations, In: "A Decade of Concurrency", LNCS 803, Springer, 1994,
p. 583-621].
| cs.CC cs.LO math.LO | we show that from a topological point of view 2tape buchi automata have the same accepting power than turing machines equipped with a buchi acceptance condition in particular we show that for every non null recursive ordinal alpha there exist some sigma0_alphacomplete and some pi0_alphacomplete infinitary rational relations accepted by 2tape buchi automata this very surprising result gives answers to questions of w thomas automata and quantifier hierarchies in formal properties of finite automata and applications ramatuelle 1988 lncs 386 springer 1989 p104119 of p simonnet automates et theorie descriptive ph d thesis universite paris 7 march 1992 and of h lescow and w thomas logical specifications of infinite computations in a decade of concurrency lncs 803 springer 1994 p 583621 | [['we', 'show', 'that', 'from', 'a', 'topological', 'point', 'of', 'view', '2tape', 'buchi', 'automata', 'have', 'the', 'same', 'accepting', 'power', 'than', 'turing', 'machines', 'equipped', 'with', 'a', 'buchi', 'acceptance', 'condition', 'in', 'particular', 'we', 'show', 'that', 'for', 'every', 'non', 'null', 'recursive', 'ordinal', 'alpha', 'there', 'exist', 'some', 'sigma0_alphacomplete', 'and', 'some', 'pi0_alphacomplete', 'infinitary', 'rational', 'relations', 'accepted', 'by', '2tape', 'buchi', 'automata', 'this', 'very', 'surprising', 'result', 'gives', 'answers', 'to', 'questions', 'of', 'w', 'thomas', 'automata', 'and', 'quantifier', 'hierarchies', 'in', 'formal', 'properties', 'of', 'finite', 'automata', 'and', 'applications', 'ramatuelle', '1988', 'lncs', '386', 'springer', '1989', 'p104119', 'of', 'p', 'simonnet', 'automates', 'et', 'theorie', 'descriptive', 'ph', 'd', 'thesis', 'universite', 'paris', '7', 'march', '1992', 'and', 'of', 'h', 'lescow', 'and', 'w', 'thomas', 'logical', 'specifications', 'of', 'infinite', 'computations', 'in', 'a', 'decade', 'of', 'concurrency', 'lncs', '803', 'springer', '1994', 'p', '583621']] | [-0.15133949632153793, 0.12420794023826968, -0.10387508560386839, 0.1371313998145012, -0.1179750133305788, -0.23690850015714013, 0.15277541150972873, 0.2766100941773723, -0.2706302938779362, -0.29839721476236564, 0.021753748958077312, -0.2762409774508296, -0.1035425961487183, 0.19098049064143366, -0.1935682456016916, 0.07856697173781317, 0.07222263673085626, -0.007469327040329701, 0.00998024023020593, -0.3323977866421352, 0.24172410244482154, 0.018615390910246575, 0.24256762589069725, 0.02174981591534339, 0.10744078921451539, 0.05999108919083383, -0.05524239311104312, 0.03499606473981833, -0.15003894332920087, 0.06440690329089026, 0.3976623666151857, 0.23916146275783037, 0.3089343302984949, -0.3606977430551348, -0.0727699937987603, 0.12223802490879883, 0.029918731248961026, 0.02512267463597931, 0.05308406312456902, -0.29455645104572803, 0.10089645738236043, -0.24974209033520187, -0.05694123581364876, -0.029347387995539594, 0.19014724444973619, 0.027439151393609636, -0.18269607374648086, -0.045441168593242764, 0.22278494050554118, 0.23280800799173967, 0.0005514174445430521, -0.15715490768765325, -0.017219044673628323, -0.0026398594452052555, -0.08742726348276189, 0.044467239174991846, 0.011822607868621047, -0.02227704767519295, -0.2859227415409033, 0.32519570570595624, -0.0045991807462140806, -0.0955115700093638, 0.20932918498605615, -0.09170809207961526, -0.2410650402904261, 0.10218521319290608, 0.05251481157273618, 0.04326586352324724, -0.060761072281591534, 0.23309864091810167, -0.16192740682481216, 0.18126326504270077, 0.2612744570091492, -0.046268642351751314, 0.09882581740336008, 0.1275936260001593, -0.030852623282884788, 0.06726528129916043, 0.08410001098483551, -0.03978118465180282, -0.30284214526133124, -0.20063123631216742, -0.0477365589692813, 0.08458650713598653, 0.004770839309633882, -0.17572385519977754, 0.2770456586663118, 0.10407853942460325, 0.07001004938856491, 0.18298774203207313, 0.15194272771947273, 0.06413145379765946, -0.03440921547912656, 0.12416842737931665, 0.09525898229105774, 0.17979516863955983, 0.15690124950551687, -0.11795030043708912, 0.047312267939560115, 0.20389638229140214] |
712.0166 | Discovery of pulsational line profile variations in the delta Scuti star
HD21190 and in the Ap Sr star HD218994 | Asteroseismology has the potential to provide new insights into the physics
of stellar interiors. We have obtained UVES high time resolution observations
of the delta Scuti star HD21190 and of the Ap Sr star HD218994 to search for
pulsational line profile variations. We report the discovery of a new roAp
star, HD218994, with a pulsation period of 14.2 min. This is one of the most
evolved roAp stars. No rapid pulsations have been found in the spectra of the
cool Ap star - delta Scuti star HD21190. However, we detect with unprecedented
clarity for a delta Sct star moving peaks in the cores of spectral lines that
indicate the presence of high degree non-radial pulsations in this star.
| astro-ph | asteroseismology has the potential to provide new insights into the physics of stellar interiors we have obtained uves high time resolution observations of the delta scuti star hd21190 and of the ap sr star hd218994 to search for pulsational line profile variations we report the discovery of a new roap star hd218994 with a pulsation period of 142 min this is one of the most evolved roap stars no rapid pulsations have been found in the spectra of the cool ap star delta scuti star hd21190 however we detect with unprecedented clarity for a delta sct star moving peaks in the cores of spectral lines that indicate the presence of high degree nonradial pulsations in this star | [['asteroseismology', 'has', 'the', 'potential', 'to', 'provide', 'new', 'insights', 'into', 'the', 'physics', 'of', 'stellar', 'interiors', 'we', 'have', 'obtained', 'uves', 'high', 'time', 'resolution', 'observations', 'of', 'the', 'delta', 'scuti', 'star', 'hd21190', 'and', 'of', 'the', 'ap', 'sr', 'star', 'hd218994', 'to', 'search', 'for', 'pulsational', 'line', 'profile', 'variations', 'we', 'report', 'the', 'discovery', 'of', 'a', 'new', 'roap', 'star', 'hd218994', 'with', 'a', 'pulsation', 'period', 'of', '142', 'min', 'this', 'is', 'one', 'of', 'the', 'most', 'evolved', 'roap', 'stars', 'no', 'rapid', 'pulsations', 'have', 'been', 'found', 'in', 'the', 'spectra', 'of', 'the', 'cool', 'ap', 'star', 'delta', 'scuti', 'star', 'hd21190', 'however', 'we', 'detect', 'with', 'unprecedented', 'clarity', 'for', 'a', 'delta', 'sct', 'star', 'moving', 'peaks', 'in', 'the', 'cores', 'of', 'spectral', 'lines', 'that', 'indicate', 'the', 'presence', 'of', 'high', 'degree', 'nonradial', 'pulsations', 'in', 'this', 'star']] | [-0.10861235168592359, 0.13215740550006938, -0.08660464314345875, 0.04475712224057056, -0.20321111796567073, -0.10833230576852065, 0.13459413069669499, 0.38502574103892356, -0.13589912604512727, -0.34137715860946566, 0.0347603221800035, -0.2947372727923923, -0.039116970315161675, 0.1940211636834165, -0.0723958014884693, -0.016871827060523897, 0.19106392505873218, 0.01829662699173762, -0.03336397867797054, -0.22346295579933587, 0.25023304367374277, 0.028156789276414573, 0.07879905585939877, -0.04025597598117132, -0.022265699023428637, -0.1649869399256686, -0.08026876719792883, -0.09334821897184747, -0.1901127718189163, 0.013706632014204804, 0.22709196139302137, 0.19082601917071793, 0.22166356731317619, -0.32203584934911156, -0.2847887817053841, 0.047027755863009356, 0.22635910238147292, -0.011007847304209175, -0.0860064564144406, -0.23877364206008422, 0.1217066649443064, -0.1555752191230163, -0.16682679851690674, 0.0024848192826741273, 0.12469246605427092, 0.07739392855367823, -0.23061099522707298, 0.08786274350753738, 0.049526874103352554, 0.17898886212203494, -0.11691929142261481, -0.13178491569323164, -0.025827826358951055, 0.08326509563475211, 0.027191802881196395, 0.11627856566387619, 0.0019647996578142685, -0.13462449326060522, -0.034924417531165555, 0.3959380587021637, -0.1357023677466294, 0.016255491743516974, 0.20789169167212218, -0.27060090605782455, -0.24026824810948127, 0.13298483683258042, 0.12744091519624248, 0.17783517994655249, -0.1554987499745101, -0.0319277034046598, 0.07213080533119476, 0.21658750317799738, 0.1160415489720101, 0.07663088567001729, 0.3363375285218478, 0.1824418533529736, 0.013129367729903668, 0.061465869394517064, -0.31580076343379915, 0.001747827300340192, -0.17972643652325895, -0.10729810671928601, -0.07360696441565569, 0.03670472229241879, -0.11983093151682889, -0.15931458947145277, 0.4380528210183709, 0.04450965397712639, 0.15017084182343549, -0.05413246201351285, 0.2354561068340499, 0.14692783989728644, 0.09415792231609682, 0.11754750866745399, 0.3259631503437065, 0.24645802901627925, 0.15783978551705805, -0.330004762726812, 0.04135838885190618, -0.03456547912051026] |
712.0167 | The zero-product problem for Toeplitz operators with radial symbols | For any bounded measurable function $f$ on the unit ball $B_n$, let $T_f$ be
the Toeplitz operator with symbol $f$ acting on the Bergman space $A^2(B_n)$.
The Zero-Product Problem asks: if $f_1,..., f_N$ are bounded measurable
functions such that $T_{f_1}... T_{f_N}=0$, does it follow that one of the
functions must be zero almost everywhere? This paper give the affirmative
answer to this question when all except possibly one of the symbols are radial
functions. The answer in the general case remains unknown.
| math.FA | for any bounded measurable function f on the unit ball b_n let t_f be the toeplitz operator with symbol f acting on the bergman space a2b_n the zeroproduct problem asks if f_1 f_n are bounded measurable functions such that t_f_1 t_f_n0 does it follow that one of the functions must be zero almost everywhere this paper give the affirmative answer to this question when all except possibly one of the symbols are radial functions the answer in the general case remains unknown | [['for', 'any', 'bounded', 'measurable', 'function', 'f', 'on', 'the', 'unit', 'ball', 'b_n', 'let', 't_f', 'be', 'the', 'toeplitz', 'operator', 'with', 'symbol', 'f', 'acting', 'on', 'the', 'bergman', 'space', 'a2b_n', 'the', 'zeroproduct', 'problem', 'asks', 'if', 'f_1', 'f_n', 'are', 'bounded', 'measurable', 'functions', 'such', 'that', 't_f_1', 't_f_n0', 'does', 'it', 'follow', 'that', 'one', 'of', 'the', 'functions', 'must', 'be', 'zero', 'almost', 'everywhere', 'this', 'paper', 'give', 'the', 'affirmative', 'answer', 'to', 'this', 'question', 'when', 'all', 'except', 'possibly', 'one', 'of', 'the', 'symbols', 'are', 'radial', 'functions', 'the', 'answer', 'in', 'the', 'general', 'case', 'remains', 'unknown']] | [-0.16279289310272688, 0.1533173967200594, -0.00890110998462217, 0.07154904153997986, -0.10218644333788408, -0.15686316387011454, -0.00919624854876206, 0.35705451065531146, -0.33056829900791246, -0.15650441113095254, 0.12330895090827909, -0.31100519470727217, -0.13709229482815433, 0.1955922828475685, -0.10091534707671365, 0.030109895560412835, 0.055454887998982884, 0.13705122078028628, -0.09504675132652315, -0.32293539450097924, 0.41567113059453475, -0.06487947104809184, 0.13788399275822136, 0.0792987603897181, 0.07571195741781057, 0.00781489428705894, 0.009655034026274314, -0.06813469022633328, -0.17074160967175162, 0.05175102082863211, 0.29429840647842354, 0.14962088824130404, 0.319292874038906, -0.3644929589787259, -0.15015528881802964, 0.26583742085271156, 0.1457391332488698, -0.055021405894643605, 0.019172320425964128, -0.2113497062222077, 0.10779558482896298, -0.07220095013363813, -0.15052902447776154, -0.031190262796978157, 0.05906277329613192, 0.005248458169472332, -0.31857169916232425, 0.040879616603398554, 0.1658059638709976, 0.023782715058097474, -0.11134777679585685, -0.12196998115336427, -0.012846722655619184, 0.16323889970954042, 0.0022964538143824963, 0.193240975190957, 0.09035536364461176, -0.005571149295578018, -0.05344964388328103, 0.3458312103548684, -0.07473674004013912, -0.32470768093107605, 0.08022075791198474, -0.3029697752342774, -0.11036671270640233, 0.04902614325655099, 0.11334302703826091, 0.16317544561715272, -0.08288774094697333, 0.21643637939362237, -0.1585640689262595, 0.14858544289838904, 0.14306847567264086, 0.02094038868493114, 0.14121290941973433, -0.005767034847313204, 0.1730234771101282, 0.11450047764437607, 0.08858898237275963, 0.007425834645684331, -0.3612303371565082, -0.11618114994146311, -0.21063058348283029, 0.13007874859687993, -0.07185006755977295, -0.24696120901558644, 0.3594699959951238, 0.07102676784285368, 0.21887764983022442, 0.13306470431285936, 0.23666017667318767, 0.18486899746438631, 0.058978037956433416, 0.10141578750111736, 0.08127485191783844, 0.12577582260844514, 0.028152911613384884, -0.15343773730385762, 0.09496090528316414, 0.13963061387356646] |
712.0168 | A novel numerical technique used in the solution of ordinary
differential equations with a mixture of integer and fractional derivatives | Using both fractional derivatives, defined in the Riemann-Liouville and
Caputo senses, and classical derivatives of the integer order we examine
different numerical approaches to ordinary differential equations. Generally we
formulate some algorithms where four discrete forms of the Caputo derivative
and three different numerical techniques of solving ordinary differential
equations are proposed. We then illustrate how to introduce classical initial
conditions into equations where the Riemann-Liouville derivative is included.
| math.NA math.DS | using both fractional derivatives defined in the riemannliouville and caputo senses and classical derivatives of the integer order we examine different numerical approaches to ordinary differential equations generally we formulate some algorithms where four discrete forms of the caputo derivative and three different numerical techniques of solving ordinary differential equations are proposed we then illustrate how to introduce classical initial conditions into equations where the riemannliouville derivative is included | [['using', 'both', 'fractional', 'derivatives', 'defined', 'in', 'the', 'riemannliouville', 'and', 'caputo', 'senses', 'and', 'classical', 'derivatives', 'of', 'the', 'integer', 'order', 'we', 'examine', 'different', 'numerical', 'approaches', 'to', 'ordinary', 'differential', 'equations', 'generally', 'we', 'formulate', 'some', 'algorithms', 'where', 'four', 'discrete', 'forms', 'of', 'the', 'caputo', 'derivative', 'and', 'three', 'different', 'numerical', 'techniques', 'of', 'solving', 'ordinary', 'differential', 'equations', 'are', 'proposed', 'we', 'then', 'illustrate', 'how', 'to', 'introduce', 'classical', 'initial', 'conditions', 'into', 'equations', 'where', 'the', 'riemannliouville', 'derivative', 'is', 'included']] | [-0.13272002935949442, 0.02273167735910502, -0.06284113308968212, 0.10629590130512319, -0.1702097019119917, -0.14646141657578773, -0.07410289806084357, 0.31118447499592666, -0.33283291670723236, -0.2803028160436214, 0.16240201531605714, -0.29010758351912536, -0.20444199815392494, 0.16781424062893444, -0.07406351945457468, 0.12916556063472576, -0.042815093774402485, 0.019806580719254587, -0.16235601887160886, -0.30674048551979166, 0.3676349138976007, -0.1402246343322854, 0.15170005795316419, -0.04375758798172077, 0.21101412127820263, -0.08062886133574057, -0.10497909368596216, 0.02422421215021092, -0.18242083528362538, 0.07943639707957408, 0.26894645130707195, 0.02733723161931055, 0.3374367759063624, -0.5027983691003444, -0.16368506885930031, 0.04802454675993194, 0.10714749759063125, 0.016125001117884032, 0.01197629026474728, -0.31913709246378014, 0.0721279859772303, -0.1454742799607524, -0.11209546585999214, -0.11414495882564697, 0.009627497255586195, 0.10246706381440163, -0.3049510200575426, 0.1253179260732039, 0.013179201349292112, 0.004609480081800965, -0.1476906974988895, -0.19278919433608002, -0.0015706169702436614, 0.024441371678604162, 0.042300862624593406, -0.11373426144321759, 0.03615748896466001, -0.08917697868647351, -0.2054042042556988, 0.37335602685377217, -0.10556311379827937, -0.3532190072363701, 0.13331472167772226, -0.17034476872641538, -0.12442122094090217, 0.05444425016748542, 0.14582645995677382, 0.21933328803034796, -0.1744948343333343, 0.09289946270502591, 0.05237352731975092, 0.11610330901770056, 0.1136380903409335, 0.0018086627773616624, 0.03881936263886915, 0.06883492951105902, 0.06620450175461778, 0.12031680201112792, -0.0017866576579736843, -0.2521501832466195, -0.3497270852381337, -0.22585556664220666, -0.08878429173289434, 0.01029707498146572, -0.11587859053047461, -0.14789964964586325, 0.36002014534534427, 0.19615473550157217, 0.07510256603954063, 0.06705367440978686, 0.31954047610929265, 0.2980317077801927, -0.027063907515527546, 0.0042943395471767235, 0.12943672562276176, 0.16446208157509135, 0.15210469327597081, -0.22018473816569895, 0.012690418450485753, 0.20605589059329982] |
712.0169 | A Study of the Evaporative Deposition Process: Pipes and Truncated
Transport Dynamics | We consider contact line deposition and pattern formation of a pinned
evaporating thin drop. We identify and focus on the transport dynamics
truncated by the maximal concentration, proposed by Dupont, as the single
deposition mechanism. The truncated process, formalized as "pipe models",
admits a characteristic moving shock front solution that has a robust
functional form and depends only on local conditions. By applying the models,
we solve the deposition process and describe the deposit density profile in
different asymptotic regimes. In particular, near the contact line the density
profile follows a scaling law that is proportional to the square root of the
concentration ratio, and the maximal deposit density/thickness occurs at about
2/3 of the total drying time for uniform evaporation and 1/2 for
diffusion-controlled evaporation. Away from the contact line, we for the first
time identify the power-law decay of the deposit profile with respect to the
radial distance. In comparison, our work is consistent with and extends
previous results. We also predict features of the depinning process and
multiple-ring patterns within Dupont model, and our predictions are consistent
with empirical evidence.
| cond-mat.soft | we consider contact line deposition and pattern formation of a pinned evaporating thin drop we identify and focus on the transport dynamics truncated by the maximal concentration proposed by dupont as the single deposition mechanism the truncated process formalized as pipe models admits a characteristic moving shock front solution that has a robust functional form and depends only on local conditions by applying the models we solve the deposition process and describe the deposit density profile in different asymptotic regimes in particular near the contact line the density profile follows a scaling law that is proportional to the square root of the concentration ratio and the maximal deposit densitythickness occurs at about 23 of the total drying time for uniform evaporation and 12 for diffusioncontrolled evaporation away from the contact line we for the first time identify the powerlaw decay of the deposit profile with respect to the radial distance in comparison our work is consistent with and extends previous results we also predict features of the depinning process and multiplering patterns within dupont model and our predictions are consistent with empirical evidence | [['we', 'consider', 'contact', 'line', 'deposition', 'and', 'pattern', 'formation', 'of', 'a', 'pinned', 'evaporating', 'thin', 'drop', 'we', 'identify', 'and', 'focus', 'on', 'the', 'transport', 'dynamics', 'truncated', 'by', 'the', 'maximal', 'concentration', 'proposed', 'by', 'dupont', 'as', 'the', 'single', 'deposition', 'mechanism', 'the', 'truncated', 'process', 'formalized', 'as', 'pipe', 'models', 'admits', 'a', 'characteristic', 'moving', 'shock', 'front', 'solution', 'that', 'has', 'a', 'robust', 'functional', 'form', 'and', 'depends', 'only', 'on', 'local', 'conditions', 'by', 'applying', 'the', 'models', 'we', 'solve', 'the', 'deposition', 'process', 'and', 'describe', 'the', 'deposit', 'density', 'profile', 'in', 'different', 'asymptotic', 'regimes', 'in', 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712.017 | Non-equilibrium dynamics of gene expression and the Jarzynski equality | In order to express specific genes at the right time, the transcription of
genes is regulated by the presence and absence of transcription factor
molecules. With transcription factor concentrations undergoing constant
changes, gene transcription takes place out of equilibrium. In this paper we
discuss a simple mapping between dynamic models of gene expression and
stochastic systems driven out of equilibrium. Using this mapping, results of
nonequilibrium statistical mechanics such as the Jarzynski equality and the
fluctuation theorem are demonstrated for gene expression dynamics. Applications
of this approach include the determination of regulatory interactions between
genes from experimental gene expression data.
| q-bio.MN cond-mat.stat-mech | in order to express specific genes at the right time the transcription of genes is regulated by the presence and absence of transcription factor molecules with transcription factor concentrations undergoing constant changes gene transcription takes place out of equilibrium in this paper we discuss a simple mapping between dynamic models of gene expression and stochastic systems driven out of equilibrium using this mapping results of nonequilibrium statistical mechanics such as the jarzynski equality and the fluctuation theorem are demonstrated for gene expression dynamics applications of this approach include the determination of regulatory interactions between genes from experimental gene expression data | [['in', 'order', 'to', 'express', 'specific', 'genes', 'at', 'the', 'right', 'time', 'the', 'transcription', 'of', 'genes', 'is', 'regulated', 'by', 'the', 'presence', 'and', 'absence', 'of', 'transcription', 'factor', 'molecules', 'with', 'transcription', 'factor', 'concentrations', 'undergoing', 'constant', 'changes', 'gene', 'transcription', 'takes', 'place', 'out', 'of', 'equilibrium', 'in', 'this', 'paper', 'we', 'discuss', 'a', 'simple', 'mapping', 'between', 'dynamic', 'models', 'of', 'gene', 'expression', 'and', 'stochastic', 'systems', 'driven', 'out', 'of', 'equilibrium', 'using', 'this', 'mapping', 'results', 'of', 'nonequilibrium', 'statistical', 'mechanics', 'such', 'as', 'the', 'jarzynski', 'equality', 'and', 'the', 'fluctuation', 'theorem', 'are', 'demonstrated', 'for', 'gene', 'expression', 'dynamics', 'applications', 'of', 'this', 'approach', 'include', 'the', 'determination', 'of', 'regulatory', 'interactions', 'between', 'genes', 'from', 'experimental', 'gene', 'expression', 'data']] | [-0.13578123149927707, 0.08188008695375175, 0.015120508151012473, 0.08303152544656768, 0.0017176172323524952, -0.13955509789753706, 0.11893543169251643, 0.3169150605238974, -0.24853927236050366, -0.2690917785745114, -0.019818571952637285, -0.2559223578963429, -0.24027995251119136, 0.1959509721165523, -0.007643895507790148, -0.0034550995472818614, 0.09141885442775674, 0.03525200162082911, 0.04180350532755256, -0.16569215778261423, 0.2640967652015388, 0.08025114797987044, 0.267938556112349, 0.05219722278416157, 0.1491391864430625, -0.04655504256021231, -0.05936170767410658, -0.02799320688471198, -0.1627059866534546, 0.14848260015663983, 0.34380550599122217, 0.19991639328189195, 0.282461735419929, -0.4532609530724585, -0.19728880474809557, 0.10030982238706201, 0.13262028055469272, 0.1928485856205225, -0.007794429594650864, -0.26920016381889583, 0.006567233249079436, -0.1515381320938468, -0.05380046663340181, -0.12275186195736751, 0.029746364736929536, 0.06022241816855967, -0.2578683794476092, 0.22090207437053322, 0.060264548528939484, 0.14097635485231877, -0.08164851559791714, -0.09516046111006289, -0.010954225682653487, 0.22675272250082343, 0.08940402929438278, 0.02686711220536381, 0.2706209336966276, -0.1246658602100797, -0.11099436979508027, 0.3263128537591547, -0.030691013956675305, -0.2197058895835653, 0.17243262505624443, -0.1185378502914682, -0.2241581179620698, 0.09888287907466292, 0.139270143462345, 0.054015469106379894, -0.2661142582353204, 0.06569685284106526, 0.04708665409125388, 0.1828766026906669, 0.1624233372276649, -0.04367471057921648, 0.1755497139506042, 0.1772012922540307, 0.00016350286779925227, 0.15239270171383396, -0.04422613212838769, -0.1521622214280069, -0.2569626939482987, -0.1136089687794447, -0.10841007377021014, 0.09544190399596118, -0.1330396579527587, -0.1738373563438654, 0.3684826026018709, 0.09209454234936856, 0.16079201973974705, 0.06319049165351316, 0.22652795968577266, 0.10757556909578853, 0.06019340687198564, -0.006251112932804972, 0.1404046632349491, 0.12872078913496807, 0.05953167305327952, -0.2971825523930602, 0.16410278156399727, 0.04884311543777585] |
712.0171 | A Spectral Approach to Analyzing Belief Propagation for 3-Coloring | Contributing to the rigorous understanding of BP, in this paper we relate the
convergence of BP to spectral properties of the graph. This encompasses a
result for random graphs with a ``planted'' solution; thus, we obtain the first
rigorous result on BP for graph coloring in the case of a complex graphical
structure (as opposed to trees). In particular, the analysis shows how Belief
Propagation breaks the symmetry between the $3!$ possible permutations of the
color classes.
| cs.CC cs.AI cs.DM | contributing to the rigorous understanding of bp in this paper we relate the convergence of bp to spectral properties of the graph this encompasses a result for random graphs with a planted solution thus we obtain the first rigorous result on bp for graph coloring in the case of a complex graphical structure as opposed to trees in particular the analysis shows how belief propagation breaks the symmetry between the 3 possible permutations of the color classes | [['contributing', 'to', 'the', 'rigorous', 'understanding', 'of', 'bp', 'in', 'this', 'paper', 'we', 'relate', 'the', 'convergence', 'of', 'bp', 'to', 'spectral', 'properties', 'of', 'the', 'graph', 'this', 'encompasses', 'a', 'result', 'for', 'random', 'graphs', 'with', 'a', 'planted', 'solution', 'thus', 'we', 'obtain', 'the', 'first', 'rigorous', 'result', 'on', 'bp', 'for', 'graph', 'coloring', 'in', 'the', 'case', 'of', 'a', 'complex', 'graphical', 'structure', 'as', 'opposed', 'to', 'trees', 'in', 'particular', 'the', 'analysis', 'shows', 'how', 'belief', 'propagation', 'breaks', 'the', 'symmetry', 'between', 'the', '3', 'possible', 'permutations', 'of', 'the', 'color', 'classes']] | [-0.10715214285225451, 0.016279679783559466, -0.09271415327857067, 0.07099974521000374, -0.09830651262944395, -0.054758881484823566, 0.10270887563857795, 0.39660885376105837, -0.28368110431043747, -0.30523767125680923, 0.05174989199005793, -0.22545864618709915, -0.20473121072758327, 0.1256103337222299, -0.07090152902891497, 0.05046586780627439, 0.05516022692930389, 0.06654984914613041, -0.0781422037179219, -0.20200417325121361, 0.2856305764758258, 0.017200915699268318, 0.26037482848366744, 0.05207795219786175, 0.026738908746606345, 0.06659372083770183, -0.021834432086967802, 0.009629161943766203, -0.14613680658837805, 0.1020071752756447, 0.2230975698715971, 0.15896209551311738, 0.2416143501328619, -0.39838948753940595, -0.21615879740807917, 0.11069454006887004, 0.15639384873453285, 0.13603560082227378, -0.02463985855733468, -0.23219192703859276, 0.14749481633015268, -0.08814711653167842, -0.11747290389975171, -0.022310681217773395, -0.0015647068329445728, 0.00319442232804639, -0.26052183564525555, 0.03391642181517242, 0.15996722743979522, 0.03378429855280495, 0.009992854270551885, -0.09483531757269974, 0.007539298403524347, 0.1268175402716673, 0.047157256071782346, 0.037825930531003644, 0.0345900242727903, -0.15864487984157227, -0.15674554984774683, 0.3952282631570207, -0.030035422945564442, -0.171805085676311, 0.1757790000456107, -0.09237692621347567, -0.2132423831295077, 0.10465317930082803, 0.19785401220251989, 0.15815036429406762, -0.10800208721699968, 0.07953457962479685, -0.0941339098038031, 0.1276390241676724, 0.09090219996869564, 0.03822423141546451, 0.1371414621614597, 0.18998524034698192, 0.10585325404808119, 0.2141109573618545, -0.03162436402257677, -0.0955255143563626, -0.28176906438810484, -0.17101726382245103, -0.16496599548157642, 0.058845576435605715, -0.1713238167939345, -0.24669455439336113, 0.4954181283035062, 0.1771241898539585, 0.21711052848667198, 0.12633450382522174, 0.24370362452388583, 0.06418619878051875, 0.032741423563233445, 0.10938876493555771, 0.21175422983897196, 0.23165268510694967, 0.05190008797670727, -0.16391748160897912, 0.06953852166506377, 0.08650044089352543] |
712.0172 | Spin resonance in the d-wave superconductor CeCoIn5 | Neutron scattering is used to probe antiferromagnetic spin fluctuations in
the d-wave heavy fermion superconductor CeCoIn$_{5}$ (T$_{c}$=2.3 K).
Superconductivity develops from a state with slow ($\hbar\Gamma$=0.3 $\pm$ 0.15
meV) commensurate (${\bf{Q_0}}$=(1/2,1/2,1/2)) antiferromagnetic spin
fluctuations and nearly isotropic spin correlations. The characteristic
wavevector in CeCoIn$_{5}$ is the same as CeIn$_{3}$ but differs from the
incommensurate wavevector measured in antiferromagnetically ordered
CeRhIn$_{5}$. A sharp spin resonance ($\hbar\Gamma<0.07$ meV) at $\hbar \omega$
= 0.60 $\pm$ 0.03 meV develops in the superconducting state removing spectral
weight from low-energy transfers. The presence of a resonance peak is
indicative of strong coupling between f-electron magnetism and
superconductivity and consistent with a d-wave gap order parameter satisfying
$\Delta({\bf q+Q_0})=-\Delta({\bf q})$.
| cond-mat.supr-con cond-mat.str-el | neutron scattering is used to probe antiferromagnetic spin fluctuations in the dwave heavy fermion superconductor cecoin_5 t_c23 k superconductivity develops from a state with slow hbargamma03 pm 015 mev commensurate bfq_0121212 antiferromagnetic spin fluctuations and nearly isotropic spin correlations the characteristic wavevector in cecoin_5 is the same as cein_3 but differs from the incommensurate wavevector measured in antiferromagnetically ordered cerhin_5 a sharp spin resonance hbargamma007 mev at hbar omega 060 pm 003 mev develops in the superconducting state removing spectral weight from lowenergy transfers the presence of a resonance peak is indicative of strong coupling between felectron magnetism and superconductivity and consistent with a dwave gap order parameter satisfying deltabf qq_0deltabf q | [['neutron', 'scattering', 'is', 'used', 'to', 'probe', 'antiferromagnetic', 'spin', 'fluctuations', 'in', 'the', 'dwave', 'heavy', 'fermion', 'superconductor', 'cecoin_5', 't_c23', 'k', 'superconductivity', 'develops', 'from', 'a', 'state', 'with', 'slow', 'hbargamma03', 'pm', '015', 'mev', 'commensurate', 'bfq_0121212', 'antiferromagnetic', 'spin', 'fluctuations', 'and', 'nearly', 'isotropic', 'spin', 'correlations', 'the', 'characteristic', 'wavevector', 'in', 'cecoin_5', 'is', 'the', 'same', 'as', 'cein_3', 'but', 'differs', 'from', 'the', 'incommensurate', 'wavevector', 'measured', 'in', 'antiferromagnetically', 'ordered', 'cerhin_5', 'a', 'sharp', 'spin', 'resonance', 'hbargamma007', 'mev', 'at', 'hbar', 'omega', '060', 'pm', '003', 'mev', 'develops', 'in', 'the', 'superconducting', 'state', 'removing', 'spectral', 'weight', 'from', 'lowenergy', 'transfers', 'the', 'presence', 'of', 'a', 'resonance', 'peak', 'is', 'indicative', 'of', 'strong', 'coupling', 'between', 'felectron', 'magnetism', 'and', 'superconductivity', 'and', 'consistent', 'with', 'a', 'dwave', 'gap', 'order', 'parameter', 'satisfying', 'deltabf', 'qq_0deltabf', 'q']] | [-0.26106720860116184, 0.36610051243688857, -0.028042814892682212, 0.06366756751042514, -0.0684549405379113, -0.18059861930777077, 0.10361903416061843, 0.3470829468461926, -0.2396580465008608, -0.2622790080064011, -0.11846155851337782, -0.4305148725742819, 0.04121017964401593, 0.09646500515022867, 0.1415350472520071, 0.0031063869267840077, -0.08189312370787202, 0.01221906257086192, -0.193753887724597, -0.1291471088070129, 0.28125640415345077, -0.026094194980234735, 0.3106171166248344, 0.07675398766878061, 0.005073133063787181, 0.030696585393916058, 0.2298801477774288, -0.07485509708230556, -0.18200826905322848, -0.03182135509646118, 0.3429393147256363, -0.19062798663637498, 0.13426279423987986, -0.32425492808774664, -0.15561144582655592, 0.011347561522766395, 0.16896724889779258, 0.09797142499721506, -0.013490385557007458, -0.30111401026240653, 0.048909705697075916, -0.14080625076571274, -0.15937990578068248, -0.09299646740072165, -0.044302476604503614, -0.09315060328743938, -0.28674532556302706, 0.23250065840289202, 0.07448957734137636, 0.1457486641722628, -0.11300436720139934, -0.2244983364168244, -0.07039607278743966, -0.08787686012348989, 0.09394969386091732, 0.20956962666995996, 0.11117390815019866, -0.07237170518513907, -0.10186516865009994, 0.31004882167973036, -0.07340145563055692, 0.008822068869550195, 0.07251900367663, -0.22631546989497212, -0.02924038668990963, 0.23598562582628801, 0.049534911686485564, 0.01539547718345636, -0.07377134623971802, 0.08991690887907883, 0.013662762137957744, 0.27493408004994746, 0.0641238810483763, 0.10603932669403514, 0.2960083705407602, 0.21635161572959516, 0.03999630007375446, 0.0719039447215403, -0.1738587861343856, -0.044910370423975915, -0.22513429425587808, -0.09620739939661387, -0.2372467010001721, 0.10280947217122755, -0.09612460746130738, -0.14650792255135323, 0.3722565404130836, 0.14545338177143735, 0.22815999718969343, -0.1280595252411095, 0.19547425998866352, 0.08014963125417664, 0.05463519415611194, 0.09697038881670407, 0.23683402886079555, 0.2644094669225591, 0.14363565232121833, -0.32858742499094523, 0.05863572412878663, -0.0373656554973557] |
712.0173 | Magnetic fields in X-ray emitting A-type stars | A common explanation for the observed X-ray emission of A-type stars is the
presence of a hidden late-type companion. While this hypothesis can be shown to
be correct in some cases, there is also evidence suggesting that low-mass
companions cannot be the proper cause for the observed X-ray activity in all
cases. Babel & Montmerle (1997) presented a theoretical framework to explain
the X-ray emission for magnetic Ap/Bp stars, focusing on the A0p star IQ Aur.
We test if this theoretical model is capable to explain the observed X-ray
emissions. We present observations of 13 A-type stars that have been associated
with X-ray emission detected by ROSAT. To determine the mean longitudinal
magnetic field strength we measured the circular polarization in the wings of
the Balmer lines using FORS 1. Although the emission of those objects with
magnetic fields fits the prediction of the Babel & Montmerle model, not all
X-ray detections are related to the presence of a magnetic field. Additionally,
the strengths of magnetic fields do not correlate with the X-ray luminosity and
thus the magnetically confined wind shock model cannot explain the X-ray
emission from all investigated stars.
| astro-ph | a common explanation for the observed xray emission of atype stars is the presence of a hidden latetype companion while this hypothesis can be shown to be correct in some cases there is also evidence suggesting that lowmass companions cannot be the proper cause for the observed xray activity in all cases babel montmerle 1997 presented a theoretical framework to explain the xray emission for magnetic apbp stars focusing on the a0p star iq aur we test if this theoretical model is capable to explain the observed xray emissions we present observations of 13 atype stars that have been associated with xray emission detected by rosat to determine the mean longitudinal magnetic field strength we measured the circular polarization in the wings of the balmer lines using fors 1 although the emission of those objects with magnetic fields fits the prediction of the babel montmerle model not all xray detections are related to the presence of a magnetic field additionally the strengths of magnetic fields do not correlate with the xray luminosity and thus the magnetically confined wind shock model cannot explain the xray emission from all investigated stars | [['a', 'common', 'explanation', 'for', 'the', 'observed', 'xray', 'emission', 'of', 'atype', 'stars', 'is', 'the', 'presence', 'of', 'a', 'hidden', 'latetype', 'companion', 'while', 'this', 'hypothesis', 'can', 'be', 'shown', 'to', 'be', 'correct', 'in', 'some', 'cases', 'there', 'is', 'also', 'evidence', 'suggesting', 'that', 'lowmass', 'companions', 'can', 'not', 'be', 'the', 'proper', 'cause', 'for', 'the', 'observed', 'xray', 'activity', 'in', 'all', 'cases', 'babel', 'montmerle', '1997', 'presented', 'a', 'theoretical', 'framework', 'to', 'explain', 'the', 'xray', 'emission', 'for', 'magnetic', 'apbp', 'stars', 'focusing', 'on', 'the', 'a0p', 'star', 'iq', 'aur', 'we', 'test', 'if', 'this', 'theoretical', 'model', 'is', 'capable', 'to', 'explain', 'the', 'observed', 'xray', 'emissions', 'we', 'present', 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712.0174 | Neutron and X-ray diffraction study of cubic [111] field cooled
Pb(Mg1/3Nb2/3)O3 | Neutron and x-ray diffraction techniques have been used to study the
competing long and short-range polar order in the relaxor ferroelectric
Pb(Mg$_{1/3}$Nb$_{2/3}$)O$_{3}$ (PMN) under a [111] applied electric field.
Despite reports of a structural transition from a cubic phase to a rhombohedral
phase for fields E $>$ 1.7 kV/cm, we find that the bulk unit cell remains cubic
(within a sensitivity of 90$^{\circ}$-$\alpha$ =0.03$^{\circ}$)for fields up to
8 kV/cm. Furthermore, we observe a structural transition confined to the near
surface volume or `skin' of the crystal where the cubic cell is transformed to
a rhombohedral unit cell at T$_{c}$=210 K for E $>$ 4 kV/cm, for which
90$^{\circ}$-$\alpha$=0.08 $\pm$ 0.03$^{\circ}$ below 50 K. While the bulk unit
cell remains cubic, a suppression of the diffuse scattering and concomitant
enhancement of the Bragg peak intensity is observed below T$_{c}$=210 K,
indicating a more ordered structure with increasing electric field yet an
absence of a long-range ferroelectric ground state in the bulk. The electric
field strength has little effect on the diffuse scattering above T$_{c}$,
however below T$_{c}$ the diffuse scattering is reduced in intensity and adopts
an asymmetric lineshape in reciprocal space. The absence of hysteresis in our
neutron measurements (on the bulk) and the presence of two distinct temperature
scales suggests that the ground state of PMN is not a frozen glassy phase as
suggested by some theories but is better understood in terms of random fields
introduced through the presence of structural disorder. Based on these results,
we also suggest that PMN represents an extreme example of the two-length scale
problem, and that the presence of a distinct skin maybe necessary for a relaxor
ground state.
| cond-mat.mtrl-sci | neutron and xray diffraction techniques have been used to study the competing long and shortrange polar order in the relaxor ferroelectric pbmg_13nb_23o_3 pmn under a 111 applied electric field despite reports of a structural transition from a cubic phase to a rhombohedral phase for fields e 17 kvcm we find that the bulk unit cell remains cubic within a sensitivity of 90circalpha 003circfor fields up to 8 kvcm furthermore we observe a structural transition confined to the near surface volume or skin of the crystal where the cubic cell is transformed to a rhombohedral unit cell at t_c210 k for e 4 kvcm for which 90circalpha008 pm 003circ below 50 k while the bulk unit cell remains cubic a suppression of the diffuse scattering and concomitant enhancement of the bragg peak intensity is observed below t_c210 k indicating a more ordered structure with increasing electric field yet an absence of a longrange ferroelectric ground state in the bulk the electric field strength has little effect on the diffuse scattering above t_c however below t_c the diffuse scattering is reduced in intensity and adopts an asymmetric lineshape in reciprocal space the absence of hysteresis in our neutron measurements on the bulk and the presence of two distinct temperature scales suggests that the ground state of pmn is not a frozen glassy phase as suggested by some theories but is better understood in terms of random fields introduced through the presence of structural disorder based on these results we also suggest that pmn represents an extreme example of the twolength scale problem and that the presence of a distinct skin maybe necessary for a relaxor ground state | [['neutron', 'and', 'xray', 'diffraction', 'techniques', 'have', 'been', 'used', 'to', 'study', 'the', 'competing', 'long', 'and', 'shortrange', 'polar', 'order', 'in', 'the', 'relaxor', 'ferroelectric', 'pbmg_13nb_23o_3', 'pmn', 'under', 'a', '111', 'applied', 'electric', 'field', 'despite', 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'represents', 'an', 'extreme', 'example', 'of', 'the', 'twolength', 'scale', 'problem', 'and', 'that', 'the', 'presence', 'of', 'a', 'distinct', 'skin', 'maybe', 'necessary', 'for', 'a', 'relaxor', 'ground', 'state']] | [-0.14635446207981034, 0.20831602203913807, -0.02986947162853506, 0.0089988565915247, -0.04867001952314784, -0.08374641830620538, 0.08285194465794302, 0.40749737674995873, -0.2450485160948908, -0.29164922194782217, 0.04491577149416935, -0.30334622156892205, -0.13358524110687148, 0.15857534260876524, 0.02591752638521422, -0.017592338492880777, -0.0709619280157054, 0.0602227681560435, -0.08362479092264583, -0.200470597926541, 0.2549040435943959, 0.023829494154500017, 0.31046562165844965, 0.09099757302328222, 0.07357761486303714, -0.005472239146414608, 0.10877919991284168, 0.04171183043867487, -0.11389323840284209, 0.04727585467628489, 0.24106661799429088, -0.03789286265180642, 0.19050254684364307, -0.41685149859382714, -0.2449170498360409, 0.07292842915336639, 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712.0175 | The Quasi-Reversibility Method for the Thermoacoustic Tomography and a
Coefficient Inverse Problem | An inverse problem of the determination of an initial condition in a
hyperbolic equation from the lateral Cauchy data is considered. This problem
has applications to the thermoacoustic tomography, as well as to linearized
coefficient inverse problems of acoustics and electromagnetics. A new version
of the quasi-reversibility method is described. This version requires a new
Lipschitz stability estimate, which is obtained via the Carleman estimate.
Numerical results are presented.
| math-ph math.MP | an inverse problem of the determination of an initial condition in a hyperbolic equation from the lateral cauchy data is considered this problem has applications to the thermoacoustic tomography as well as to linearized coefficient inverse problems of acoustics and electromagnetics a new version of the quasireversibility method is described this version requires a new lipschitz stability estimate which is obtained via the carleman estimate numerical results are presented | [['an', 'inverse', 'problem', 'of', 'the', 'determination', 'of', 'an', 'initial', 'condition', 'in', 'a', 'hyperbolic', 'equation', 'from', 'the', 'lateral', 'cauchy', 'data', 'is', 'considered', 'this', 'problem', 'has', 'applications', 'to', 'the', 'thermoacoustic', 'tomography', 'as', 'well', 'as', 'to', 'linearized', 'coefficient', 'inverse', 'problems', 'of', 'acoustics', 'and', 'electromagnetics', 'a', 'new', 'version', 'of', 'the', 'quasireversibility', 'method', 'is', 'described', 'this', 'version', 'requires', 'a', 'new', 'lipschitz', 'stability', 'estimate', 'which', 'is', 'obtained', 'via', 'the', 'carleman', 'estimate', 'numerical', 'results', 'are', 'presented']] | [-0.05882333209603161, 0.0084063128903137, -0.08142112540688527, 0.05669799083472648, -0.1359967063518538, -0.09736793252733955, -0.07466133631279935, 0.2903116113249806, -0.3509958383721718, -0.264132356028194, 0.2176920953054872, -0.2622195917411127, -0.14929195078582488, 0.2820988574564673, -0.07848651784107737, 0.1531629091452645, 0.08463614351669516, 0.012165457307212595, -0.09177602579196294, -0.14942820580757182, 0.30274974526432546, 0.056908345322354115, 0.2546770090264255, 0.09211048541887515, 0.15300331453866986, 0.013096338387686705, -0.0219935845259739, 0.010896039087379324, -0.15846972948318158, 0.11210509128801092, 0.24382011624781982, 0.10102171222071933, 0.3217046523055035, -0.3763411651648905, -0.23677910119969992, 0.08894149116172954, 0.1406611381571038, 0.12379618113745759, -0.08817424777679253, -0.29305884437770513, 0.06969922642641957, -0.08976931378677272, -0.20424871964623098, -0.025822418876856133, -0.015163282614093328, -0.010983887054296076, -0.33028908646193106, 0.1413783515682039, 0.05730041252968806, 0.03038479663107706, -0.14507196891539986, -0.08933472587470559, 0.04818947946288339, 0.06830916418255294, 0.049326450624705656, 0.004859310149660577, 0.06668171199524532, -0.12725417178286158, -0.11264282730880423, 0.39670413489574974, -0.04998433336183645, -0.27742074154641316, 0.1232745903611615, -0.04303422682257234, -0.0738310184923635, 0.10236902851476401, 0.19880095463030148, 0.17118112053857118, -0.18529998625804117, 0.10945139147024484, -0.09859855400830292, 0.15024883800820596, 0.045552920826805246, -0.0651507379885331, 0.06551517384207767, 0.18835126933898183, 0.12704375273534568, 0.1884156135754471, -0.05138932433033335, -0.04405784408521393, -0.3305824671102607, -0.17318897454095059, -0.22546686296202784, 0.07317766653157878, -0.0809931872963848, -0.23227918054739796, 0.36062062018807384, 0.1259101831448683, 0.14818509232144858, 0.028555183524630316, 0.30969827395418414, 0.22185072576900458, 0.011097669466466143, 0.04370083070724555, 0.23398178753753504, 0.21341785201397928, 0.1746608991769777, -0.21411209154631133, 0.02629825924995585, 0.16509125048321657] |
712.0176 | A search for pulsational line profile variations in the delta Scuti star
HD21190 and the Ap Sr star HD218994 | We present the results of our recent search for pulsational line profile
variations in high time resolution UVES spectra of the most evolved Ap star
known, the delta Scuti star HD21190, and of the Ap Sr star HD218994. We found
that HD218994 is an roAp star with a pulsation period of 5.1 min, which makes
it the 36th star known to be a roAp star. No rapid pulsations have been found
in the spectra of the delta Scuti star HD21190. However, we detect moving peaks
in the cores of spectral lines, which indicate the presence of non-radial
pulsations in this star.
| astro-ph | we present the results of our recent search for pulsational line profile variations in high time resolution uves spectra of the most evolved ap star known the delta scuti star hd21190 and of the ap sr star hd218994 we found that hd218994 is an roap star with a pulsation period of 51 min which makes it the 36th star known to be a roap star no rapid pulsations have been found in the spectra of the delta scuti star hd21190 however we detect moving peaks in the cores of spectral lines which indicate the presence of nonradial pulsations in this star | [['we', 'present', 'the', 'results', 'of', 'our', 'recent', 'search', 'for', 'pulsational', 'line', 'profile', 'variations', 'in', 'high', 'time', 'resolution', 'uves', 'spectra', 'of', 'the', 'most', 'evolved', 'ap', 'star', 'known', 'the', 'delta', 'scuti', 'star', 'hd21190', 'and', 'of', 'the', 'ap', 'sr', 'star', 'hd218994', 'we', 'found', 'that', 'hd218994', 'is', 'an', 'roap', 'star', 'with', 'a', 'pulsation', 'period', 'of', '51', 'min', 'which', 'makes', 'it', 'the', '36th', 'star', 'known', 'to', 'be', 'a', 'roap', 'star', 'no', 'rapid', 'pulsations', 'have', 'been', 'found', 'in', 'the', 'spectra', 'of', 'the', 'delta', 'scuti', 'star', 'hd21190', 'however', 'we', 'detect', 'moving', 'peaks', 'in', 'the', 'cores', 'of', 'spectral', 'lines', 'which', 'indicate', 'the', 'presence', 'of', 'nonradial', 'pulsations', 'in', 'this', 'star']] | [-0.11662720821337949, 0.10286934893376005, -0.08156419584140329, 0.046554657741274576, -0.1718246237845114, -0.09358735337373938, 0.10864640103674973, 0.40606464681648974, -0.13666991353851032, -0.32453684366796864, 0.04650525765327534, -0.287183157288202, -0.07093530158871914, 0.1917719150510718, -0.08140780641190191, -0.017264094244052498, 0.17511664602057178, 0.051263673987128944, -0.021390732056184643, -0.23201605061179784, 0.25202212611323976, 0.035289958776389754, 0.09550922627025975, -0.057538095257696834, -0.050090249862964495, -0.15155150591036176, -0.08620434998687919, -0.08899779405703048, -0.1655873136603104, -0.01777373198050969, 0.2358094738095556, 0.1666859928495481, 0.17186011398432427, -0.305139089427372, -0.26795446261357847, 0.06016847079315472, 0.22943075940861266, 0.0029407976872960827, -0.0688633587883352, -0.23535937814060415, 0.1280844591853052, -0.16019735016887732, -0.1474387996673289, 0.02703056854223556, 0.1370026093105426, 0.08032273846369532, -0.2465617976861425, 0.1049852658450456, 0.06990982119067765, 0.14189243675347898, -0.11832716082001456, -0.10647209168476339, -0.04072316675815768, 0.06475787064853576, 0.051080028874578305, 0.12719798485038453, 0.013902004204210963, -0.11489879780467416, -0.05194851295967208, 0.4039964719795355, -0.13989799192156827, 0.023457711334294168, 0.21264890506333387, -0.2505636026248299, -0.23823517076855544, 0.14059178005572004, 0.07937872470218209, 0.21831109904508927, -0.14651030749266986, -0.050137709630860734, 0.047916879388734256, 0.24296257501043897, 0.12357968456194837, 0.05026140296485939, 0.2981791600336016, 0.1434820299728377, 0.0205955451105417, 0.06474579737053741, -0.3193641175137888, -0.01727870392548566, -0.18268719680220036, -0.08297174098431179, -0.08692502097623182, 0.03472312906120747, -0.09208175304820093, -0.16338546138422766, 0.40831383208900984, 0.03189074579109945, 0.16771547275014442, -0.041008452804169, 0.22407270333554485, 0.1621790414982669, 0.10392835541207016, 0.15195580261602704, 0.31672221768905623, 0.23747101013945177, 0.16822819603090683, -0.3418936963921579, 0.04519810274100429, -0.0392115185461422] |
712.0177 | Systematic errors of bound-state parameters extracted by means of SVZ
sum rules | This talk presents the results of our study of systematic errors of the
ground-state parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum
rules. We use the harmonic-oscillator potential model as an example: in this
case we know the exact solution for the polarization operator, which allows us
to obtain both the OPE to any order and the parameters (masses and decay
constants) of the bound states. We extract the parameters of the ground state
by making use of the standard procedures of the method of QCD sum rules, and
compare the obtained results with their known exact values. We show that if the
continuum contribution to the polarization operator is not known and is
modelled by some effective continuum threshold, the standard procedures adopted
in sum rules do not allow one to gain control over the systematic errors of the
extracted ground-state parameters.
| hep-ph | this talk presents the results of our study of systematic errors of the groundstate parameters obtained by shifmanvainshteinzakharov svz sum rules we use the harmonicoscillator potential model as an example in this case we know the exact solution for the polarization operator which allows us to obtain both the ope to any order and the parameters masses and decay constants of the bound states we extract the parameters of the ground state by making use of the standard procedures of the method of qcd sum rules and compare the obtained results with their known exact values we show that if the continuum contribution to the polarization operator is not known and is modelled by some effective continuum threshold the standard procedures adopted in sum rules do not allow one to gain control over the systematic errors of the extracted groundstate parameters | [['this', 'talk', 'presents', 'the', 'results', 'of', 'our', 'study', 'of', 'systematic', 'errors', 'of', 'the', 'groundstate', 'parameters', 'obtained', 'by', 'shifmanvainshteinzakharov', 'svz', 'sum', 'rules', 'we', 'use', 'the', 'harmonicoscillator', 'potential', 'model', 'as', 'an', 'example', 'in', 'this', 'case', 'we', 'know', 'the', 'exact', 'solution', 'for', 'the', 'polarization', 'operator', 'which', 'allows', 'us', 'to', 'obtain', 'both', 'the', 'ope', 'to', 'any', 'order', 'and', 'the', 'parameters', 'masses', 'and', 'decay', 'constants', 'of', 'the', 'bound', 'states', 'we', 'extract', 'the', 'parameters', 'of', 'the', 'ground', 'state', 'by', 'making', 'use', 'of', 'the', 'standard', 'procedures', 'of', 'the', 'method', 'of', 'qcd', 'sum', 'rules', 'and', 'compare', 'the', 'obtained', 'results', 'with', 'their', 'known', 'exact', 'values', 'we', 'show', 'that', 'if', 'the', 'continuum', 'contribution', 'to', 'the', 'polarization', 'operator', 'is', 'not', 'known', 'and', 'is', 'modelled', 'by', 'some', 'effective', 'continuum', 'threshold', 'the', 'standard', 'procedures', 'adopted', 'in', 'sum', 'rules', 'do', 'not', 'allow', 'one', 'to', 'gain', 'control', 'over', 'the', 'systematic', 'errors', 'of', 'the', 'extracted', 'groundstate', 'parameters']] | [-0.06990461503089478, 0.06944928997692054, -0.07103650226317187, 0.07616184758854673, -0.06733367169368351, -0.07927147448327101, 0.12640135577410883, 0.368907782427491, -0.24592565657927634, -0.2814000210070864, 0.09707961743037012, -0.25886284798255327, -0.10148900852155548, 0.16768637594704167, 0.010040657248030951, 0.07872549228790028, 0.05777652788220357, 0.0539113460092125, -0.09432758732223288, -0.2253289089161665, 0.3247643323872793, 0.03921888289140894, 0.25000247811066345, 0.08206971724193993, 0.07291962443157396, 0.02880563744812781, -0.044546708742037734, -0.020800906418433004, -0.166853784413685, 0.13217756698850924, 0.19636950179511772, 0.11342212889700178, 0.19363649811014427, -0.38231078860290507, -0.1680809996018173, 0.11656090435704071, 0.12710086757594602, 0.15272593888840538, 0.035043170391614975, -0.25962870872698407, 0.05923960036234864, -0.18358813749348862, -0.17586471466347575, -0.14016594859302467, -0.03883104510473233, 0.01894453217288651, -0.31497261840651963, 0.07163879500123249, 0.029811622451079337, -0.004449393781866377, -0.071498173736911, -0.19740793618855748, 0.010029663458955309, 0.17271540456299558, 0.06252000319312412, 0.0021443754840800738, 0.0988576614747075, -0.12950509527354692, -0.13769531659187473, 0.39807408126005045, -0.07727292639695452, -0.2102226551237404, 0.11533426711457972, -0.1270432140189388, -0.08765038965494497, 0.10207466429746742, 0.11136498080454238, 0.1306587993842302, -0.16952924851447027, 0.07192576026827996, -0.010688009521600308, 0.19919406461483197, 0.008691426795900714, 0.04430493902322565, 0.1479564075100612, 0.08911449927423837, 0.030325511921236805, 0.1378934831285836, -0.06648685765974488, -0.10072500935048921, -0.3473325012687673, -0.08785438792266494, -0.15807263336164204, 0.04177121104815387, -0.08212846961716216, -0.15227065247265584, 0.4026610085885998, 0.17091380274715892, 0.20268664025294542, 0.07593912086433051, 0.304412878891255, 0.1538112079390285, 0.08214791826342384, 0.04186902909476891, 0.2978765703962723, 0.1418839900206167, 0.059003224067145574, -0.23705749478561025, 0.031871014651148874, 0.0823020416060925] |
712.0178 | Systematic errors of transition form factors extracted by means of
light-cone sum rules | This talk presents results of our study of heavy-to-light transition form
factors extracted with the help of light-cone sum rules. We employ a model with
scalar particles interacting via massless-boson exchange and study the
heavy-to-light correlator, relevant for the extraction of the transition form
factor. We calculate this correlator in two different ways: by making use of
the Bethe-Salpeter wave function of the light bound state and by making use of
the light-cone expansion. This allows us to calculate the full correlator and
separately the light-cone contribution to it. In this way we show that the
off-light cone contributions are not suppressed compared to the light-cone one
by any large parameter. Numerically, the difference between the value of the
form factor extracted from the full correlator and from the light-cone
contribution to this correlator is found to be about 20-30% in a wide range of
masses of the particles involved in the decay process.
| hep-ph | this talk presents results of our study of heavytolight transition form factors extracted with the help of lightcone sum rules we employ a model with scalar particles interacting via masslessboson exchange and study the heavytolight correlator relevant for the extraction of the transition form factor we calculate this correlator in two different ways by making use of the bethesalpeter wave function of the light bound state and by making use of the lightcone expansion this allows us to calculate the full correlator and separately the lightcone contribution to it in this way we show that the offlight cone contributions are not suppressed compared to the lightcone one by any large parameter numerically the difference between the value of the form factor extracted from the full correlator and from the lightcone contribution to this correlator is found to be about 2030 in a wide range of masses of the particles involved in the decay process | [['this', 'talk', 'presents', 'results', 'of', 'our', 'study', 'of', 'heavytolight', 'transition', 'form', 'factors', 'extracted', 'with', 'the', 'help', 'of', 'lightcone', 'sum', 'rules', 'we', 'employ', 'a', 'model', 'with', 'scalar', 'particles', 'interacting', 'via', 'masslessboson', 'exchange', 'and', 'study', 'the', 'heavytolight', 'correlator', 'relevant', 'for', 'the', 'extraction', 'of', 'the', 'transition', 'form', 'factor', 'we', 'calculate', 'this', 'correlator', 'in', 'two', 'different', 'ways', 'by', 'making', 'use', 'of', 'the', 'bethesalpeter', 'wave', 'function', 'of', 'the', 'light', 'bound', 'state', 'and', 'by', 'making', 'use', 'of', 'the', 'lightcone', 'expansion', 'this', 'allows', 'us', 'to', 'calculate', 'the', 'full', 'correlator', 'and', 'separately', 'the', 'lightcone', 'contribution', 'to', 'it', 'in', 'this', 'way', 'we', 'show', 'that', 'the', 'offlight', 'cone', 'contributions', 'are', 'not', 'suppressed', 'compared', 'to', 'the', 'lightcone', 'one', 'by', 'any', 'large', 'parameter', 'numerically', 'the', 'difference', 'between', 'the', 'value', 'of', 'the', 'form', 'factor', 'extracted', 'from', 'the', 'full', 'correlator', 'and', 'from', 'the', 'lightcone', 'contribution', 'to', 'this', 'correlator', 'is', 'found', 'to', 'be', 'about', '2030', 'in', 'a', 'wide', 'range', 'of', 'masses', 'of', 'the', 'particles', 'involved', 'in', 'the', 'decay', 'process']] | [-0.09693577200615484, 0.13938714366246896, -0.10776917866161584, 0.05514850635830427, -0.055233075319464614, -0.03067330904550066, 0.07376027868840059, 0.3258048129194465, -0.22480782178402142, -0.2549087582156062, 0.040321341122954005, -0.2901114575568882, -0.1173566828426709, 0.1305959162066421, 0.0850049092949025, 0.015808810141415483, 0.03777456997225894, 0.024906897531381172, -0.10813912448601944, -0.1930867231352941, 0.3854822753438432, 0.002890120410531955, 0.2693435863138324, 0.09449421155793396, 0.06465411926374624, 0.04682810408198029, -0.0670439207950901, -0.028190380875266305, -0.12181322788996783, 0.12842171786561316, 0.19259500330755194, 0.11581253781485812, 0.18285380561811557, -0.3890660493328285, -0.14156180141052524, 0.09383757637605365, 0.1747018818415726, 0.1243643021903393, 0.02871881963342036, -0.2699312096473908, 0.06365661680894463, -0.20965466387477996, -0.15973563096179677, -0.10031756338982009, -0.018724021968649283, -0.028234344591558175, -0.27550037386888443, 0.09194408169347107, -0.03678843167481797, -0.041171560903373906, -0.01105456507196466, -0.1409829086440272, 0.04150031680259608, 0.15685192566352749, 0.09216401598314405, 0.0851906181526015, 0.12347259972624383, -0.16174706492242158, -0.08501048744303837, 0.39683300602298816, -0.10568248547956739, -0.2052076075641181, 0.10850269286770765, -0.2101499915527376, -0.10668455092175129, 0.13461010980934493, 0.16618293678804644, 0.10897564174516255, -0.2123391927452758, 0.04599978105551073, 0.018261304011933755, 0.14077541741426103, 0.06477253302919532, 0.036272547498811036, 0.20965098741611368, 0.1285789578748671, -0.029209749816034577, 0.16380826241756472, -0.06638191603920668, -0.11414651551259387, -0.348422541932546, -0.13455364874703504, -0.15494002478417793, 0.05378210913477233, -0.10244055111596888, -0.1321724996669218, 0.4239241168604502, 0.17516223721720867, 0.24077542418155262, 0.06165714321602871, 0.303349065085824, 0.15446485973294138, 0.12407221179455519, 0.0677380543263433, 0.2826236419358266, 0.13603783445739137, 0.09964174102275904, -0.2479942948434894, -0.0013566418232298211, 0.05025618308603665] |
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