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711.1908 | Scaling functions applied to three-body recombination of Cesium-133
atoms | We demonstrate the implications of Efimov physics in the recently measured
recombination rate of Cesium-133 atoms. By employing previously calculated
results for the energy dependence of the recombination rate of Helium-4 atoms,
we obtain three independent scaling functions that are capable of describing
the recombination rates over a large energy range for identical bosons with
large scattering length. We benchmark these and previously obtained scaling
functions by successfully comparing their predictions with full atom-dimer
phase shift calculations with artificial Helium-4 potentials yielding large
scattering lengths. Exploiting universality, we finally use these functions to
determine the 3-body recombination rate of Cesium-133 atoms with large positive
scattering length, compare our results to experimental data obtained by the
Innsbruck group and find excellent agreement.
| cond-mat.other nucl-th | we demonstrate the implications of efimov physics in the recently measured recombination rate of cesium133 atoms by employing previously calculated results for the energy dependence of the recombination rate of helium4 atoms we obtain three independent scaling functions that are capable of describing the recombination rates over a large energy range for identical bosons with large scattering length we benchmark these and previously obtained scaling functions by successfully comparing their predictions with full atomdimer phase shift calculations with artificial helium4 potentials yielding large scattering lengths exploiting universality we finally use these functions to determine the 3body recombination rate of cesium133 atoms with large positive scattering length compare our results to experimental data obtained by the innsbruck group and find excellent agreement | [['we', 'demonstrate', 'the', 'implications', 'of', 'efimov', 'physics', 'in', 'the', 'recently', 'measured', 'recombination', 'rate', 'of', 'cesium133', 'atoms', 'by', 'employing', 'previously', 'calculated', 'results', 'for', 'the', 'energy', 'dependence', 'of', 'the', 'recombination', 'rate', 'of', 'helium4', 'atoms', 'we', 'obtain', 'three', 'independent', 'scaling', 'functions', 'that', 'are', 'capable', 'of', 'describing', 'the', 'recombination', 'rates', 'over', 'a', 'large', 'energy', 'range', 'for', 'identical', 'bosons', 'with', 'large', 'scattering', 'length', 'we', 'benchmark', 'these', 'and', 'previously', 'obtained', 'scaling', 'functions', 'by', 'successfully', 'comparing', 'their', 'predictions', 'with', 'full', 'atomdimer', 'phase', 'shift', 'calculations', 'with', 'artificial', 'helium4', 'potentials', 'yielding', 'large', 'scattering', 'lengths', 'exploiting', 'universality', 'we', 'finally', 'use', 'these', 'functions', 'to', 'determine', 'the', '3body', 'recombination', 'rate', 'of', 'cesium133', 'atoms', 'with', 'large', 'positive', 'scattering', 'length', 'compare', 'our', 'results', 'to', 'experimental', 'data', 'obtained', 'by', 'the', 'innsbruck', 'group', 'and', 'find', 'excellent', 'agreement']] | [-0.07220257834477489, 0.179129893591335, -0.022915358819675533, 0.07126794390915316, 0.049826407435634906, -0.13554290122899018, 0.0609758946686706, 0.3607363863886634, -0.2192732091716006, -0.311493385152137, -0.0032438610878596005, -0.3067276480892473, -0.07611547240771907, 0.23023259577202834, 0.10429038795303892, 0.11734741868466632, 0.08974603778674953, -0.03233419580015639, -0.07649451320844679, -0.2405989786748551, 0.2947709342726499, 0.103175383292077, 0.2909527747460818, 0.11012108752904229, 0.06725586785007391, 0.03260618493476621, -0.044971996425720286, -0.004733724088585081, -0.21381917630818004, 0.1212129344132321, 0.2360204285653385, 0.03711337430544788, 0.13532795815551577, -0.4199090966693133, -0.198958000899408, 0.0884010346398558, 0.16220541174854497, 0.1936513704521012, -0.09298270474349664, -0.27501667321905926, 0.020955830589244683, -0.16356019092308097, -0.14560981558478045, -0.09354005723976153, 0.05473700928124638, 0.08392709269128694, -0.2762771230421899, 0.10236611754502639, -0.051651408818881375, 0.04506352690859334, -0.11179050221300323, -0.17976960219819993, 0.03328125518053955, 0.1018766633173343, 0.05009263571571128, -0.012911249049323465, 0.1354634454454611, -0.1033980627428771, -0.1333794288995314, 0.34137575522311464, -0.1279902364697869, -0.11582922067325793, 0.20889608682833674, -0.18804393746805462, -0.09408204045439185, 0.18360787223301028, 0.1359142286602931, 0.06966069764804003, -0.13295331814380223, 0.07541167731916393, -0.0496307191465912, 0.17566880210271982, 0.09016912738015213, 0.06309237632430727, 0.16032372180310903, 0.15004826283894387, -0.07303708908725376, 0.11038714711465834, -0.10506240139361317, -0.12497548235210874, -0.26323176331602594, -0.08524391757832332, -0.17569450336731662, 0.04118662438170661, -0.105918208494819, -0.09585696772079576, 0.32815330401678716, 0.12687185372433757, 0.26604975358205885, 0.10090284387404022, 0.23367001060858245, 0.1423696353002105, 0.10784600440158763, 0.035823280526679165, 0.27275949658071696, 0.12787838723541292, 0.02578019267159768, -0.3114574788684749, 0.030920097639029923, 0.0416743557809752] |
711.1909 | Consistent Orientation of Moduli Spaces | We give an a priori construction of the two-dimensional reduction of
three-dimensional quantum Chern-Simons theory. This reduction is a
two-dimensional topological quantum field theory and so determines to a
Frobenius ring, which here is the twisted equivariant K-theory of a compact Lie
group. We construct the theory via correspondence diagrams of moduli spaces,
which we "linearize" using complex K-theory. A key point in the construction is
to consistently orient these moduli spaces to define pushforwards; the
consistent orientation induces twistings of complex K-theory. The
Madsen-Tillmann spectra play a crucial role.
| math.AT hep-th math-ph math.KT math.MP | we give an a priori construction of the twodimensional reduction of threedimensional quantum chernsimons theory this reduction is a twodimensional topological quantum field theory and so determines to a frobenius ring which here is the twisted equivariant ktheory of a compact lie group we construct the theory via correspondence diagrams of moduli spaces which we linearize using complex ktheory a key point in the construction is to consistently orient these moduli spaces to define pushforwards the consistent orientation induces twistings of complex ktheory the madsentillmann spectra play a crucial role | [['we', 'give', 'an', 'a', 'priori', 'construction', 'of', 'the', 'twodimensional', 'reduction', 'of', 'threedimensional', 'quantum', 'chernsimons', 'theory', 'this', 'reduction', 'is', 'a', 'twodimensional', 'topological', 'quantum', 'field', 'theory', 'and', 'so', 'determines', 'to', 'a', 'frobenius', 'ring', 'which', 'here', 'is', 'the', 'twisted', 'equivariant', 'ktheory', 'of', 'a', 'compact', 'lie', 'group', 'we', 'construct', 'the', 'theory', 'via', 'correspondence', 'diagrams', 'of', 'moduli', 'spaces', 'which', 'we', 'linearize', 'using', 'complex', 'ktheory', 'a', 'key', 'point', 'in', 'the', 'construction', 'is', 'to', 'consistently', 'orient', 'these', 'moduli', 'spaces', 'to', 'define', 'pushforwards', 'the', 'consistent', 'orientation', 'induces', 'twistings', 'of', 'complex', 'ktheory', 'the', 'madsentillmann', 'spectra', 'play', 'a', 'crucial', 'role']] | [-0.20348491054545675, 0.10901378189462574, -0.14459052795751226, 0.09895982973329309, -0.120916480726252, -0.09791954720082383, -0.028055204744709447, 0.33947919302930435, -0.3225383695628908, -0.20572451385152007, 0.05449671806224311, -0.17422129142602596, -0.2385770140422715, 0.17429350563842388, -0.14899828855672645, -0.038493921152419515, 0.003052145480695698, 0.05467844741005037, -0.1287052243223621, -0.2396409377956944, 0.4233430898179197, 0.026971978919270136, 0.2639749433793541, 0.028458004341357285, 0.09812224382638103, 0.02341479126415733, -0.012676891601747937, 0.0034441258344385358, -0.16698593703202075, 0.19225048777750797, 0.3273964291645421, -0.01086528414549927, 0.16016456766260995, -0.3958950486655037, -0.1711325476521678, 0.14297638766260612, 0.1064239061385807, 0.0993834395867048, -0.04179944482425021, -0.26994378001739583, 0.10169936256198626, -0.16684563491596943, -0.15879993385945756, -0.14379356455885703, 0.016114766291704857, -0.049312417638591594, -0.21174537655962114, -0.036051134144266445, 0.050871336335937184, 0.125560362999224, -0.09171713573806402, 0.006252804357144568, -0.08469690184315873, 0.14335645103128627, -0.04094006595874412, 0.08924531759176817, 0.14000487895682454, -0.11347462117620226, -0.1478379764645878, 0.4041831251647737, -0.050692557346903616, -0.2085327810090449, 0.11138010546306355, -0.10886037793631355, -0.18059319944845306, 0.14643663326278328, 0.08514542975462973, 0.17301694511746366, -0.0011972294602957036, 0.18367018553674117, -0.11417830073171192, 0.10623818614112679, 0.029983886445148124, 0.023891374934464693, 0.20835008079496523, 0.10387795701002081, 0.07093265951229519, 0.13737863435203002, -0.02012967533018026, -0.1304533138133896, -0.35893406756222246, -0.2521314765798808, -0.10667820214293897, 0.1843313614841059, -0.11090759803110915, -0.24527188162836763, 0.4042651845349206, 0.09496824486802022, 0.20025926656186735, 0.04522791624638355, 0.23247686952300783, 0.108519608545531, 0.050942088732133725, -0.00572850557251109, 0.1606407184664729, 0.26822008192539215, -0.005726205717979206, -0.16342216550579503, -0.09673854647876902, 0.2615764778288495] |
711.191 | Photocathode-Uniformity Tests of the Hamamatsu R5912 Photomultiplier
Tubes Used in the Milagro Experiment | The Milagro experiment observes the extensive air showers produced by very
high energy gamma-rays impacting the Earth's atmosphere. Milagro uses 898
Hamamatsu R5912 Photomultiplier Tubes. To complete our Monte Carlo simulations,
we tested the photocathode uniformity of our PMTs. The main finding was that
the PMT gain and detection efficiency are a function of the distance from the
center of the photocathode. Both quantities become considerably smaller as the
illumination position nears the edge of the photocathode.
| astro-ph | the milagro experiment observes the extensive air showers produced by very high energy gammarays impacting the earths atmosphere milagro uses 898 hamamatsu r5912 photomultiplier tubes to complete our monte carlo simulations we tested the photocathode uniformity of our pmts the main finding was that the pmt gain and detection efficiency are a function of the distance from the center of the photocathode both quantities become considerably smaller as the illumination position nears the edge of the photocathode | [['the', 'milagro', 'experiment', 'observes', 'the', 'extensive', 'air', 'showers', 'produced', 'by', 'very', 'high', 'energy', 'gammarays', 'impacting', 'the', 'earths', 'atmosphere', 'milagro', 'uses', '898', 'hamamatsu', 'r5912', 'photomultiplier', 'tubes', 'to', 'complete', 'our', 'monte', 'carlo', 'simulations', 'we', 'tested', 'the', 'photocathode', 'uniformity', 'of', 'our', 'pmts', 'the', 'main', 'finding', 'was', 'that', 'the', 'pmt', 'gain', 'and', 'detection', 'efficiency', 'are', 'a', 'function', 'of', 'the', 'distance', 'from', 'the', 'center', 'of', 'the', 'photocathode', 'both', 'quantities', 'become', 'considerably', 'smaller', 'as', 'the', 'illumination', 'position', 'nears', 'the', 'edge', 'of', 'the', 'photocathode']] | [-0.05777754276603848, 0.19091025326255853, -0.0833524811178349, 0.05749893814095526, -0.005212729917718218, -0.07042470536884163, -0.0014182772100358814, 0.42324217883023346, -0.163222123874811, -0.40389053562244814, 0.07897193302315744, -0.3863064687602319, 0.008680021859003932, 0.23820190850113118, -0.06615257606079633, 0.08654452296874982, 0.16239411452809324, -0.05950920693062294, -0.06161217539353514, -0.2282069270293434, 0.13874972350411602, 0.28397887546036926, 0.31038919889501165, 0.08496058400865499, 0.16810015818805663, -0.02560340713213694, -0.05315472184704592, -0.041236455673230935, -0.07485358250471416, 0.06718190605812646, 0.2349423241450802, 0.10267640398089568, 0.14170333379032937, -0.4468820978972045, -0.2315308563879921, 0.07909087659851588, 0.05383093780970479, -0.038300453866650534, -0.0965796039959827, -0.3278253199895481, 0.09230832744680055, -0.19062972482438986, -0.1309395541146688, 0.12529642166352117, -0.09596950891004367, 0.0551659625338076, -0.17939938079904427, -0.02323184892317498, -0.02417857006612512, 0.05124645572542757, -0.012463387207720767, -0.1677074355932025, -0.027946494725327214, 0.08191138109972386, 0.04671177520664627, 0.03908711595025349, 0.26130681214612217, -0.1364879060185865, -0.08128889467470445, 0.3167521554407665, -0.04942081261474591, -0.09869051288039267, 0.1853732978199403, -0.21254847681319172, 0.0058253021523743485, 0.28353842424059456, 0.13033582585827483, 0.1150101110242404, -0.15703386074391665, -0.005980557139944769, -0.013221323109147224, 0.19658168835879922, 0.10913270561314829, -0.007264968449274054, 0.21751573878981464, 0.25684515400124447, 0.09983503570562446, 0.18432406098400425, -0.2607246801837698, -0.01085070501438451, -0.2914741938531568, -0.15466488525271416, -0.21667391890297075, 0.03680426251995921, -0.06500992371814851, -0.14696137744981747, 0.4495349989889504, 0.14435455417139575, 0.0746272445819643, 0.016014985050764177, 0.37164032299603733, 0.010486058973973351, 0.0498820043973286, 0.04392780411940116, 0.33184392384991246, 0.13417713721388613, 0.12645271150758128, -0.19191271569519364, 0.05125248775962595, 0.02559898059524886] |
711.1911 | Smooth parametrized torsion -- a manifold approach | We give a construction of a torsion invariant of bundles of smooth manifolds
which is based on the work of Dwyer, Weiss and Williams on smooth structures on
fibrations.
| math.AT math.KT | we give a construction of a torsion invariant of bundles of smooth manifolds which is based on the work of dwyer weiss and williams on smooth structures on fibrations | [['we', 'give', 'a', 'construction', 'of', 'a', 'torsion', 'invariant', 'of', 'bundles', 'of', 'smooth', 'manifolds', 'which', 'is', 'based', 'on', 'the', 'work', 'of', 'dwyer', 'weiss', 'and', 'williams', 'on', 'smooth', 'structures', 'on', 'fibrations']] | [-0.22612382188953203, 0.0396072337110848, -0.16242093843375816, 0.049754645695492365, -0.1479782079956655, -0.11071076202366886, -0.020355508373729115, 0.338194417670883, -0.20914008723700356, -0.2098113881616757, 0.09667963982591855, -0.1891794390976429, -0.20816080822962627, 0.2457067220118539, -0.22282310042144923, -0.018618658313463474, 0.014637510533091324, 0.04394391159816035, -0.10635098260987935, -0.32615207623818826, 0.5170124324745146, 0.00027044475528186765, 0.22416387485532924, 0.15076041208772822, 0.17761758355231122, -0.001740401851591365, -0.02716261527404703, -0.01063142474419598, -0.19458713928430244, 0.2264416096089729, 0.1988190646315443, 0.010127331435295015, 0.11696578536568017, -0.3596095259718854, -0.20882818668755573, 0.10171237848056801, 0.022802396821950018, 0.02251024262835111, -0.002524299318259903, -0.3364083304487426, 0.09198369072942898, -0.07142989944409707, -0.08700753048319242, -0.12877790578480425, 0.06346025138065733, 0.05311628826091002, -0.20484887410340638, -0.004998987805547899, 0.18098739051292168, 0.1763160945205339, -0.10445229821549408, -0.05994997886491233, -0.0772034689334446, 0.0032741073679564327, 0.005698151268257663, 0.05722175684661187, 0.09712217674301617, -0.03553466351124747, -0.16562757072649126, 0.31594639753216297, -0.11265132338579359, -0.24752889766261496, 0.14605332131433332, -0.038501369831120145, -0.1722043464923727, 0.1295056596141437, 0.1619208132655456, 0.2609055698367542, 0.026411175952646238, 0.21055609668436429, -0.1609653321833446, 0.056322400442099775, 0.15344715195483175, -0.07776415913269438, 0.09584603884161033, 0.12017097247057948, 0.11943241610223877, 0.09500078140790093, 0.007139099047294465, -0.06688904017210007, -0.3522345742274975, -0.2028446645277215, -0.10514565353313911, 0.21173626714353933, -0.02079706765853816, -0.25243935959638447, 0.4727489244321297, -0.010678314186375716, 0.29162827156612586, 0.16175719228942462, 0.22317853608521923, -0.05051348971781032, 0.00790099902399655, 0.015591016922402999, 0.1574670179136868, 0.27648507193501654, -0.0005549887066771244, -0.07372301556812279, -0.03961332453864402, 0.24956672111975736] |
711.1912 | The dark connection between the EGRET excess of diffuse Galactic gamma
rays, the Canis Major dwarf, the Monoceros ring, the INTEGRAL 511 keV
annihilation line, the gas flaring and the Galactic rotation curve | The EGRET excess of diffuse Galactic gamma rays shows all the key features of
dark matter annihilation (DMA) for a WIMP mass in the range 50-100 GeV,
especially the distribution of the excess is compatible with a standard halo
profile with some additional ringlike substructures at 4 and 13 kpc from the
Galactic centre. These substructures coincide with the gravitational potential
well expected from the ring of dust at 4 kpc and the tidal stream of dark
matter from the Canis Major satellite galaxy at 13 kpc, as deduced from N-body
simulations fitting to the Monoceros ring of stars. Strong independent support
for this substructure is given by the gas flaring in our Galaxy.
The gamma rays from DMA are originating predominantly from the hadronization
of mono-energetic quarks, which should produce also a small, but known fraction
of protons and antiprotons. Bergstrom et al. an antiproton flux far above the
observed antiproton flux and they conclude that the DMA interpretation of the
EGRET excess can therefore be excluded. However, they used an isotropic
propagation model, i.e. the same diffusive propagation in the disk and the
halo. It is shown that an anisotropic propagation model is consistent with the
EGRET gamma ray excess, the antiproton flux and the ratios of secondary/primary
and unstable/stable cosmic ray particles. Such an anisotropic propagation is
supported by the large bulge/disk ratio of the positron annihilation line, as
observed by the INTEGRAL satellite. In this case no need for new sources
specific to the bulge are needed, so the claimed evidence for strong DMA in the
bulge from these observations is strongly propagation model dependent.
| astro-ph | the egret excess of diffuse galactic gamma rays shows all the key features of dark matter annihilation dma for a wimp mass in the range 50100 gev especially the distribution of the excess is compatible with a standard halo profile with some additional ringlike substructures at 4 and 13 kpc from the galactic centre these substructures coincide with the gravitational potential well expected from the ring of dust at 4 kpc and the tidal stream of dark matter from the canis major satellite galaxy at 13 kpc as deduced from nbody simulations fitting to the monoceros ring of stars strong independent support for this substructure is given by the gas flaring in our galaxy the gamma rays from dma are originating predominantly from the hadronization of monoenergetic quarks which should produce also a small but known fraction of protons and antiprotons bergstrom et al an antiproton flux far above the observed antiproton flux and they conclude that the dma interpretation of the egret excess can therefore be excluded however they used an isotropic propagation model ie the same diffusive propagation in the disk and the halo it is shown that an anisotropic propagation model is consistent with the egret gamma ray excess the antiproton flux and the ratios of secondaryprimary and unstablestable cosmic ray particles such an anisotropic propagation is supported by the large bulgedisk ratio of the positron annihilation line as observed by the integral satellite in this case no need for new sources specific to the bulge are needed so the claimed evidence for strong dma in the bulge from these observations is strongly propagation model dependent | [['the', 'egret', 'excess', 'of', 'diffuse', 'galactic', 'gamma', 'rays', 'shows', 'all', 'the', 'key', 'features', 'of', 'dark', 'matter', 'annihilation', 'dma', 'for', 'a', 'wimp', 'mass', 'in', 'the', 'range', '50100', 'gev', 'especially', 'the', 'distribution', 'of', 'the', 'excess', 'is', 'compatible', 'with', 'a', 'standard', 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711.1913 | A Local time correspondence for stochastic partial differential
equations | It is frequently the case that a white-noise-driven parabolic and/or
hyperbolic stochastic partial differential equation (SPDE) can have
random-field solutions only in spatial dimension one. Here we show that in many
cases, where the ``spatial operator'' is the L^2-generator of a L\'evy process
X, a linear SPDE has a random-field solution if and only if the symmetrization
of X possesses local times. This result gives a probabilistic reason for the
lack of existence of random-field solutions in dimensions strictly bigger than
one. In addition, we prove that the solution to the SPDE is [H\"older]
continuous in its spatial variable if and only if the said local time is
[H\"older] continuous in its spatial variable. We also produce examples where
the random-field solution exists, but is almost surely unbounded in every open
subset of space-time. Our results are based on first establishing a
quasi-isometry between the linear L^2-space of the weak solutions of a family
of linear SPDEs, on one hand, and the Dirichlet space generated by the
symmetrization of X, on the other hand. We study mainly linear equations in
order to present the local-time correspondence at a modest technical level.
However, some of our work has consequences for nonlinear SPDEs as well. We
demonstrate this assertion by studying a family of parabolic SPDEs that have
additive nonlinearities. For those equations we prove that if the linearized
problem has a random-field solution, then so does the nonlinear SPDE. Moreover,
the solution to the linearized equation is [H\"older] continuous if and only if
the solution to the nonlinear equation is. And the solutions are bounded and
unbounded together as well. Finally, we prove that in the cases that the
solutions are unbounded, they almost surely blow up at exactly the same points.
| math.PR | it is frequently the case that a whitenoisedriven parabolic andor hyperbolic stochastic partial differential equation spde can have randomfield solutions only in spatial dimension one here we show that in many cases where the spatial operator is the l2generator of a levy process x a linear spde has a randomfield solution if and only if the symmetrization of x possesses local times this result gives a probabilistic reason for the lack of existence of randomfield solutions in dimensions strictly bigger than one in addition we prove that the solution to the spde is holder continuous in its spatial variable if and only if the said local time is holder continuous in its spatial variable we also produce examples where the randomfield solution exists but is almost surely unbounded in every open subset of spacetime our results are based on first establishing a quasiisometry between the linear l2space of the weak solutions of a family of linear spdes on one hand and the dirichlet space generated by the symmetrization of x on the other hand we study mainly linear equations in order to present the localtime correspondence at a modest technical level however some of our work has consequences for nonlinear spdes as well we demonstrate this assertion by studying a family of parabolic spdes that have additive nonlinearities for those equations we prove that if the linearized problem has a randomfield solution then so does the nonlinear spde moreover the solution to the linearized equation is holder continuous if and only if the solution to the nonlinear equation is and the solutions are bounded and unbounded together as well finally we prove that in the cases that the solutions are unbounded they almost surely blow up at exactly the same points | [['it', 'is', 'frequently', 'the', 'case', 'that', 'a', 'whitenoisedriven', 'parabolic', 'andor', 'hyperbolic', 'stochastic', 'partial', 'differential', 'equation', 'spde', 'can', 'have', 'randomfield', 'solutions', 'only', 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711.1914 | A random matrix decimation procedure relating $\beta = 2/(r+1)$ to
$\beta = 2(r+1)$ | Classical random matrix ensembles with orthogonal symmetry have the property
that the joint distribution of every second eigenvalue is equal to that of a
classical random matrix ensemble with symplectic symmetry. These results are
shown to be the case $r=1$ of a family of inter-relations between eigenvalue
probability density functions for generalizations of the classical random
matrix ensembles referred to as $\beta$-ensembles. The inter-relations give
that the joint distribution of every $(r+1)$-st eigenvalue in certain
$\beta$-ensembles with $\beta = 2/(r+1)$ is equal to that of another
$\beta$-ensemble with $\beta = 2(r+1)$. The proof requires generalizing a
conditional probability density function due to Dixon and Anderson.
| math-ph math.MP | classical random matrix ensembles with orthogonal symmetry have the property that the joint distribution of every second eigenvalue is equal to that of a classical random matrix ensemble with symplectic symmetry these results are shown to be the case r1 of a family of interrelations between eigenvalue probability density functions for generalizations of the classical random matrix ensembles referred to as betaensembles the interrelations give that the joint distribution of every r1st eigenvalue in certain betaensembles with beta 2r1 is equal to that of another betaensemble with beta 2r1 the proof requires generalizing a conditional probability density function due to dixon and anderson | [['classical', 'random', 'matrix', 'ensembles', 'with', 'orthogonal', 'symmetry', 'have', 'the', 'property', 'that', 'the', 'joint', 'distribution', 'of', 'every', 'second', 'eigenvalue', 'is', 'equal', 'to', 'that', 'of', 'a', 'classical', 'random', 'matrix', 'ensemble', 'with', 'symplectic', 'symmetry', 'these', 'results', 'are', 'shown', 'to', 'be', 'the', 'case', 'r1', 'of', 'a', 'family', 'of', 'interrelations', 'between', 'eigenvalue', 'probability', 'density', 'functions', 'for', 'generalizations', 'of', 'the', 'classical', 'random', 'matrix', 'ensembles', 'referred', 'to', 'as', 'betaensembles', 'the', 'interrelations', 'give', 'that', 'the', 'joint', 'distribution', 'of', 'every', 'r1st', 'eigenvalue', 'in', 'certain', 'betaensembles', 'with', 'beta', '2r1', 'is', 'equal', 'to', 'that', 'of', 'another', 'betaensemble', 'with', 'beta', '2r1', 'the', 'proof', 'requires', 'generalizing', 'a', 'conditional', 'probability', 'density', 'function', 'due', 'to', 'dixon', 'and', 'anderson']] | [-0.09767095856617196, 0.15821282978359502, -0.10459117901520533, 0.06713619409807171, -0.01971610226822131, -0.1737157821573896, -0.00846917905564447, 0.3257282886346712, -0.23299578816892164, -0.22203876244501003, 0.06932381821968095, -0.2987637036633723, -0.20172286228936853, 0.08736253511477081, -0.060711993501313684, 0.12524034145279128, 0.0265819314885342, 0.08977451521306506, -0.12385131000514024, -0.23407734166921199, 0.33409593553616873, 0.032389455678357375, 0.26141820095696494, -0.008501308052393707, 0.06989266114870032, 0.07328089322551216, 0.014130925958596387, -0.04857354187881303, -0.08706730975937867, 0.1120268765868601, 0.23065631714586204, 0.1095725348879339, 0.24956342820258973, -0.35281179737451135, -0.18414819006835229, 0.19421076731195727, 0.11858777721747032, 0.03267741464960018, 0.010326622180568361, -0.261825386414449, 0.11445292783448997, -0.15619275484288347, -0.2155869395553487, -0.03165337197184201, 0.03139606404380457, 0.07137232256185227, -0.33506443455941903, 0.10994543539342082, 0.10062356935181085, 0.000431363647453288, 0.03398003787236306, -0.1943926987581823, 0.01622260643115032, 0.09873565081597387, 0.057403831747224895, 0.018792496930843998, 0.0625682535402712, -0.060434983048624207, -0.1302302201579153, 0.3603973414729693, -0.02885204676256992, -0.2554492112746444, 0.10537480434275105, -0.16965367622872435, -0.17900401002103553, 0.0961737172696197, 0.0772145397608503, 0.08091836998202992, -0.07455573647590444, 0.12751126550624003, -0.11859343212902618, 0.11855913781181195, 0.1101360795160448, 0.03326233273577759, 0.14397868394707014, 0.0197668225771196, 0.13534447476855543, 0.15078946845990254, -0.03853867018541086, -0.15715495912466668, -0.28950918448673, -0.13898018466362966, -0.29164634708278964, 0.1372768425030037, -0.16242049939834932, -0.22172437115539617, 0.3830156937802156, 0.08591354397426187, 0.2266170641823301, 0.16595653862267443, 0.1892573945224285, 0.15972367190480125, 0.025798816162102757, 0.05965205069486667, 0.11791608349908396, 0.28783610585434993, 9.663829617247492e-05, -0.15683817176981288, 0.02187334692096609, 0.15719510464323233] |
711.1915 | Signum Function Method for Generation of Correlated Dichotomic Chains | We analyze the signum-generation method for creating random dichotomic
sequences with prescribed correlation properties. The method is based on a
binary mapping of the convolution of continuous random numbers with some
function originated from the Fourier transform of a binary correlator. The goal
of our study is to reveal conditions under which one can construct binary
sequences with a given pair correlator. Our results can be used in the
construction of superlattices and waveguides with selective transport
properties.
| cond-mat.dis-nn cond-mat.mes-hall | we analyze the signumgeneration method for creating random dichotomic sequences with prescribed correlation properties the method is based on a binary mapping of the convolution of continuous random numbers with some function originated from the fourier transform of a binary correlator the goal of our study is to reveal conditions under which one can construct binary sequences with a given pair correlator our results can be used in the construction of superlattices and waveguides with selective transport properties | [['we', 'analyze', 'the', 'signumgeneration', 'method', 'for', 'creating', 'random', 'dichotomic', 'sequences', 'with', 'prescribed', 'correlation', 'properties', 'the', 'method', 'is', 'based', 'on', 'a', 'binary', 'mapping', 'of', 'the', 'convolution', 'of', 'continuous', 'random', 'numbers', 'with', 'some', 'function', 'originated', 'from', 'the', 'fourier', 'transform', 'of', 'a', 'binary', 'correlator', 'the', 'goal', 'of', 'our', 'study', 'is', 'to', 'reveal', 'conditions', 'under', 'which', 'one', 'can', 'construct', 'binary', 'sequences', 'with', 'a', 'given', 'pair', 'correlator', 'our', 'results', 'can', 'be', 'used', 'in', 'the', 'construction', 'of', 'superlattices', 'and', 'waveguides', 'with', 'selective', 'transport', 'properties']] | [-0.13303111677432988, 0.1079278406082326, -0.13861044334828274, 0.01882395795667423, -0.030118447571218787, -0.1076894215211369, 0.027115718655094698, 0.40236539785544595, -0.29863009224464365, -0.23589006661401166, 0.10736529482982134, -0.26222627977659174, -0.20570268530350228, 0.24125976386395367, -0.017329849314863807, 0.08983456227299455, 0.0862506263800171, 0.025489620341278323, -0.11138475641559858, -0.2194335669744571, 0.34820703078400006, -0.012229296463457022, 0.246677984967344, -0.022027571060446803, 0.09756319894902891, 0.061268269181154765, -0.029207668599805663, -0.010654819935753748, -0.07932485663029668, 0.13764797371219506, 0.18618050671799422, 0.10590653760697354, 0.2303323976018212, -0.387283257511142, -0.19820427268935525, 0.09665460537441752, 0.07816800974496918, 0.0957858563936013, -0.06801670576088953, -0.2820451530770024, 0.12426042248337686, -0.12411053719410262, -0.10397080837615899, -0.08080590395377828, -0.05411407174905399, 0.11815348869588758, -0.3398725158813131, 0.031914372021308195, 0.04371288953373184, 0.018501553551426957, -0.05633259328178965, -0.08328894999894229, 0.018250254702500322, 0.13915353353655377, 0.005113648601456896, 0.0636109154907285, 0.08039781368373856, -0.07985491806326749, -0.1431732189700963, 0.36175151795826177, -0.08921768013146017, -0.25059371383546236, 0.19997282909507585, -0.1706753692940458, -0.1387027107457352, 0.09801007493386989, 0.1675738412524005, 0.13765307902902751, -0.1611177097860869, 0.020125854838270597, -0.05574987705361534, 0.19773978894794142, 0.06402305778503031, 0.07492378337744188, 0.23383131274929295, 0.1461414394948583, 0.03841799140194213, 0.23921623058139357, -0.10769770693868495, -0.05647015007962654, -0.27118589941944393, -0.14294906100900784, -0.24223801529930009, 0.04393924515113815, -0.10541213780332374, -0.21422501757450693, 0.42627131349903036, 0.11933402915473108, 0.21202152196995236, 0.07700426804125551, 0.2285743598136809, 0.14456257865425537, 0.07623262363848846, 0.03628783884712241, 0.1351480790215103, 0.1687899413851223, 0.05706461509326836, -0.19928788703068026, 0.06167868206083968, 0.10474458752901523] |
711.1916 | Soft-gluon resummation for pseudoscalar Higgs boson production at hadron
colliders | We compute the threshold-resummed cross section for pseudo-scalar MSSM Higgs
boson production by gluon fusion at hadron colliders. The calculation is
performed at next-to-next-to leading logarithmic accuracy. We present results
for both the LHC and Tevatron Run II. We analyze the factorization and
renormalization scale dependence of the results, finding that after performing
the resummation the corresponding cross section can be computed with an
accuracy better than 10%.
| hep-ph | we compute the thresholdresummed cross section for pseudoscalar mssm higgs boson production by gluon fusion at hadron colliders the calculation is performed at nexttonextto leading logarithmic accuracy we present results for both the lhc and tevatron run ii we analyze the factorization and renormalization scale dependence of the results finding that after performing the resummation the corresponding cross section can be computed with an accuracy better than 10 | [['we', 'compute', 'the', 'thresholdresummed', 'cross', 'section', 'for', 'pseudoscalar', 'mssm', 'higgs', 'boson', 'production', 'by', 'gluon', 'fusion', 'at', 'hadron', 'colliders', 'the', 'calculation', 'is', 'performed', 'at', 'nexttonextto', 'leading', 'logarithmic', 'accuracy', 'we', 'present', 'results', 'for', 'both', 'the', 'lhc', 'and', 'tevatron', 'run', 'ii', 'we', 'analyze', 'the', 'factorization', 'and', 'renormalization', 'scale', 'dependence', 'of', 'the', 'results', 'finding', 'that', 'after', 'performing', 'the', 'resummation', 'the', 'corresponding', 'cross', 'section', 'can', 'be', 'computed', 'with', 'an', 'accuracy', 'better', 'than', '10']] | [-0.015929421564043665, 0.14286979236524477, -0.11556141685201403, 0.15113891820211017, -0.03312801842933849, -0.13225952343097613, -0.01441400917375337, 0.36208582872196154, -0.159689418033368, -0.2603922198416994, 0.00046749095952905277, -0.3383487321450101, 0.04546424526009051, 0.16376578362713404, 0.12613030227229877, 0.15382772542344517, 0.1504325501343427, 0.0015826648553175962, -0.0911566494820256, -0.34422235268935125, 0.2919125317780794, 0.11952533615369569, 0.19815964744809797, 0.22722906580961802, 0.07563665552023689, 0.09216739039402455, -0.07370187715637525, -0.0635814984972753, -0.1329477975211964, 0.09275660717257243, 0.26974025642608895, 0.049786450122209155, 0.11357932232717491, -0.33713006485691843, -0.03322664640419295, 0.09480907387264512, 0.16792334938038359, 0.11881321925423383, -0.03324782184106024, -0.2692712260382798, 0.17186442762613297, -0.29659043735934093, -0.10726431568721584, -0.13919324482284376, -0.06541331158950925, -0.13498120263444863, -0.33894152503960545, 0.08439822581952766, -0.12494536416659899, 0.04584347837782629, 0.0366758420577218, -0.2053368183756795, -0.055779734270318466, 0.001279578948229113, 0.1133991903728148, 0.04620128048939959, 0.22189980460440412, -0.2539944142644184, -0.23206396001007626, 0.36792030001935716, -0.10980672023352407, -0.1388393573647858, 0.11397703387774527, -0.19777131657225683, -0.13952637165237, 0.17774529530502417, 0.2501881826799089, 0.08079395108250216, -0.1464618640157449, 0.15646047431886578, 0.038738571216954905, 0.161497250185622, 0.12510465977110846, 0.02317658338613589, 0.11237407346968264, 0.21950367497115889, -0.007482126861920252, 0.0414004345640184, -0.1410837542703923, -0.08818757147802149, -0.49729882186169133, -0.10251282814287525, -0.02270022253779804, 0.012186788250212832, -0.09691030940046082, -0.04847381602260558, 0.37426781421527267, 0.140033317859942, 0.3237603115130161, 0.10150502456406899, 0.34263811772689223, 0.17279278628035066, 0.07757162693408592, 0.08554040437550559, 0.3225445822155213, 0.10033140271587078, 0.1285016267450855, -0.24954297209350282, 0.016391263904926533, 0.14140521028243444] |
711.1917 | A proposal for a conditional definition of the Swap Gate | In order to realize quantum logical operations, Quantum Computation (QC)
requires that its basic tools and concepts obey the laws of physics. One of the
fundamental concepts in QC is the conditional quantum dynamics \cite{barenco},
some times called controlled-unitary operation \cite{kumar}, which is
established by the conditional "If-Then" sentence. The best know example is the
c-not gate, which operates on the computational basis as follows: \textit{If
the control qubit is set to $% |1>$, then apply the single qubit quantum NOT
gate on the target. Otherwise, if the control qubit is set to $|0>$, then the
target qubit is unchanged}. This gate represents the paradigm for the
conditional quantum dynamics, where the flipping of the target qubit is
conditioned to the state of the control qubit. Other gates have been defined in
a similar way of conditional evolution; for instance, the control phase gates
\cite{paulo1}. However, to the best of our knowledge, such conditional quantum
dynamics has not been yet used to define the SWAP gate. Here we propose a
possible conditional definition, in the form of If-Then sentence, to construct
a SWAP gate in the case of two qubits. This definition suggests a
classification in two classes, which depends upon the number of qubits that
have to undergo a conditional quantum dynamics.
| quant-ph | in order to realize quantum logical operations quantum computation qc requires that its basic tools and concepts obey the laws of physics one of the fundamental concepts in qc is the conditional quantum dynamics citebarenco some times called controlledunitary operation citekumar which is established by the conditional ifthen sentence the best know example is the cnot gate which operates on the computational basis as follows textitif the control qubit is set to 1 then apply the single qubit quantum not gate on the target otherwise if the control qubit is set to 0 then the target qubit is unchanged this gate represents the paradigm for the conditional quantum dynamics where the flipping of the target qubit is conditioned to the state of the control qubit other gates have been defined in a similar way of conditional evolution for instance the control phase gates citepaulo1 however to the best of our knowledge such conditional quantum dynamics has not been yet used to define the swap gate here we propose a possible conditional definition in the form of ifthen sentence to construct a swap gate in the case of two qubits this definition suggests a classification in two classes which depends upon the number of qubits that have to undergo a conditional quantum dynamics | [['in', 'order', 'to', 'realize', 'quantum', 'logical', 'operations', 'quantum', 'computation', 'qc', 'requires', 'that', 'its', 'basic', 'tools', 'and', 'concepts', 'obey', 'the', 'laws', 'of', 'physics', 'one', 'of', 'the', 'fundamental', 'concepts', 'in', 'qc', 'is', 'the', 'conditional', 'quantum', 'dynamics', 'citebarenco', 'some', 'times', 'called', 'controlledunitary', 'operation', 'citekumar', 'which', 'is', 'established', 'by', 'the', 'conditional', 'ifthen', 'sentence', 'the', 'best', 'know', 'example', 'is', 'the', 'cnot', 'gate', 'which', 'operates', 'on', 'the', 'computational', 'basis', 'as', 'follows', 'textitif', 'the', 'control', 'qubit', 'is', 'set', 'to', '1', 'then', 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'qubits', 'this', 'definition', 'suggests', 'a', 'classification', 'in', 'two', 'classes', 'which', 'depends', 'upon', 'the', 'number', 'of', 'qubits', 'that', 'have', 'to', 'undergo', 'a', 'conditional', 'quantum', 'dynamics']] | [-0.10879105004998878, 0.16398227895815015, -0.06187588140885368, 0.0453525270122598, -0.03856683930139276, -0.22250287698662025, 0.0938654683750907, 0.36803509305681337, -0.27889514386956915, -0.29178255281531423, 0.05452984506509414, -0.22187490926600956, -0.1250585328584813, 0.21752504221582564, -0.10159960013252246, 0.11639352774600673, 0.011373728802249405, 0.09048237769450083, -0.08408957719162294, -0.28256119801952506, 0.28635210759991236, 0.00035574873430324654, 0.29193223186581435, -0.016725519458143906, 0.14662739202941646, -0.009561958762875014, 0.05362733407391672, -0.059217755219333194, -0.08120098151078584, 0.09264750873589772, 0.27226929991332255, 0.1710583254111191, 0.28448383393363236, -0.4540276447640794, -0.16314546718444836, 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711.1918 | The Residual Information Criterion, Corrected | Shi and Tsai (JRSSB, 2002) proposed an interesting residual information
criterion (RIC) for model selection in regression. Their RIC was motivated by
the principle of minimizing the Kullback-Leibler discrepancy between the
residual likelihoods of the true and candidate model. We show, however, under
this principle, RIC would always choose the full (saturated) model. The
residual likelihood therefore, is not appropriate as a discrepancy measure in
defining information criterion. We explain why it is so and provide a corrected
residual information criterion as a remedy.
| stat.ME | shi and tsai jrssb 2002 proposed an interesting residual information criterion ric for model selection in regression their ric was motivated by the principle of minimizing the kullbackleibler discrepancy between the residual likelihoods of the true and candidate model we show however under this principle ric would always choose the full saturated model the residual likelihood therefore is not appropriate as a discrepancy measure in defining information criterion we explain why it is so and provide a corrected residual information criterion as a remedy | [['shi', 'and', 'tsai', 'jrssb', '2002', 'proposed', 'an', 'interesting', 'residual', 'information', 'criterion', 'ric', 'for', 'model', 'selection', 'in', 'regression', 'their', 'ric', 'was', 'motivated', 'by', 'the', 'principle', 'of', 'minimizing', 'the', 'kullbackleibler', 'discrepancy', 'between', 'the', 'residual', 'likelihoods', 'of', 'the', 'true', 'and', 'candidate', 'model', 'we', 'show', 'however', 'under', 'this', 'principle', 'ric', 'would', 'always', 'choose', 'the', 'full', 'saturated', 'model', 'the', 'residual', 'likelihood', 'therefore', 'is', 'not', 'appropriate', 'as', 'a', 'discrepancy', 'measure', 'in', 'defining', 'information', 'criterion', 'we', 'explain', 'why', 'it', 'is', 'so', 'and', 'provide', 'a', 'corrected', 'residual', 'information', 'criterion', 'as', 'a', 'remedy']] | [-0.044647687400904405, 0.01659314085169084, -0.14110423766458072, 0.1853025494191055, -0.07867288393114345, -0.21330465824646225, 0.10742514655667257, 0.3660958625645523, -0.29493448338246936, -0.33468923136502143, 0.12673177992846502, -0.20575531121029192, -0.1917392591306244, 0.10585566862845366, -0.1565829835921885, 0.06386424293629377, 0.02661329603484686, 0.03738626016125767, -0.06330181760376835, -0.26722050472499287, 0.26307522437075176, 0.1265767185488738, 0.3334766910579729, 0.06622429752192202, 0.12743240864977243, 0.027034890103008014, -0.056528025104787695, 0.03227173122409058, -0.16116404844762153, 0.11385832945339337, 0.2095031922077199, 0.21952158071280245, 0.29066435750910496, -0.32901607736586086, -0.23223373871745476, 0.18641590701236602, 0.07528353526245758, 0.10332309005288295, 0.003325313726630825, -0.23664063046944428, 0.07890834677291203, -0.1540099578374486, -0.09488481256819095, -0.09046138845473888, -0.014269376375589025, -0.05703815954303175, -0.35179031930347704, 0.1303038144461721, 0.14153675331610693, 0.06281142954501402, -0.05430248054305473, -0.1112785135754889, 0.0003241928664585912, 0.06743386768769608, 0.058206272784182916, 0.02965792398815638, 0.062388037028441944, -0.09924712193378034, -0.0658852686875511, 0.3345383530011378, -0.038855873903888, -0.2181401144915137, 0.09705778276155064, -0.026969948115882027, -0.11009233020644366, 0.060787248548613976, 0.11715893997216081, 0.07200544369364921, -0.212618842580726, 0.04639335249127057, -0.08346345185874457, 0.15474599873624653, 0.05347129168600427, 0.01497675606374999, 0.18260271139218506, 0.1274965128535966, 0.07678502550101783, 0.11642154246142292, -0.13682074103145356, -0.048428540667855596, -0.32483765402113096, -0.1911302473710244, -0.23375866279365068, 0.014054261384488375, -0.07984677721211177, -0.11427923722798566, 0.29904437913413506, 0.16082175163529724, 0.2271016472642007, 0.04883771850334772, 0.2821487836281668, 0.1080197733181742, 0.04394188712783023, 0.0643459697848702, 0.29510182267930135, 0.16636337966276668, 0.01374845049787223, -0.18416931299515157, 0.1226717159376446, 0.08853595221347837] |
711.1919 | Collider Phenomenology of Higgsless models | We study the LHC signatures of new gauge bosons in the minimal deconstruction
Higgsless model (MHLM). We analyze the $W'$ signals of $pp\to W' \to WZ$ and
$pp\to W'jj \to WZjj$ processes at the LHC, including the complete signal and
background calculation in the gauge invariant model and have demonstrated the
LHC potential to cover the whole parameter space of the MHLM model.
| hep-ph | we study the lhc signatures of new gauge bosons in the minimal deconstruction higgsless model mhlm we analyze the w signals of ppto w to wz and ppto wjj to wzjj processes at the lhc including the complete signal and background calculation in the gauge invariant model and have demonstrated the lhc potential to cover the whole parameter space of the mhlm model | [['we', 'study', 'the', 'lhc', 'signatures', 'of', 'new', 'gauge', 'bosons', 'in', 'the', 'minimal', 'deconstruction', 'higgsless', 'model', 'mhlm', 'we', 'analyze', 'the', 'w', 'signals', 'of', 'ppto', 'w', 'to', 'wz', 'and', 'ppto', 'wjj', 'to', 'wzjj', 'processes', 'at', 'the', 'lhc', 'including', 'the', 'complete', 'signal', 'and', 'background', 'calculation', 'in', 'the', 'gauge', 'invariant', 'model', 'and', 'have', 'demonstrated', 'the', 'lhc', 'potential', 'to', 'cover', 'the', 'whole', 'parameter', 'space', 'of', 'the', 'mhlm', 'model']] | [-0.06551962093923425, 0.18825216695177752, -0.07393902509290053, 0.1325602887091456, -0.06529400821347706, -0.16089156495987392, 0.02352152689986053, 0.31964431804620097, -0.22976941874892007, -0.24341090454063455, 0.0027799234824774205, -0.3131477253694759, -0.05393827070680554, 0.09819412938525258, 0.06324073177624921, 0.10493874591088197, 0.07794247186727456, -0.005358367333890962, -0.040017700693035715, -0.2913806359073697, 0.27013060711629566, 0.07242014666744431, 0.21809523326695943, 0.09613888850435615, 0.1132189580773721, 0.08152604222938907, -0.07482396618875324, -0.14187795026886246, -0.16886161322720716, 0.026519524376289766, 0.21182861173006354, 0.08297497280644345, 0.06876044714304268, -0.30140635258228077, -0.1711916688554844, 0.189374960653606, 0.11599397576856808, 0.10758529087436981, -0.01821007574984773, -0.3411278151219986, 0.1338436100937304, -0.23762038795918713, -0.06622258902977786, -0.020986893729566306, -0.04291970453789977, -0.14112072276546941, -0.3312943717006777, 0.041057747277263246, -0.042469343819395926, 0.02681320221697698, -0.014736859998131385, -0.128873335670863, -0.12549464750393738, -0.01405902874091121, 0.10542464837409006, 0.0538676589093797, 0.134788637385383, -0.24186786358840154, -0.23805961071620466, 0.36338029699552743, -0.12507994928717858, -0.1818406425767624, 0.22309549885695099, -0.20591423290277847, -0.19553518553310242, 0.12469684201307961, 0.2894871257298977, 0.0440322812112262, -0.18672547817657717, 0.2510474291219773, 0.02432118429512274, 0.09073736846874483, 0.004106444818135656, 0.07932957054161635, 0.16275148592187, 0.2196134585032209, -0.013569027486974831, 0.10889828628020697, -0.1084376099504164, -0.04596945238643189, -0.4828564463456192, -0.1368717281758541, -0.06532928887296652, 0.013952717933132023, -0.051156831881628735, -0.09541465922212991, 0.4489745021812984, 0.1489417305002447, 0.29455176420265533, -0.022173210741860457, 0.2381215942412859, 0.08290869986913244, 0.05567908010705084, 0.0014365924003182865, 0.2803958657380865, 0.14014879469072722, 0.11561814197873482, -0.20370772839752865, -0.03758234502442303, 0.10172878308450711] |
711.192 | Simplified Self-Consistent Theory of Colloid Dynamics | One of the main elements of the self-consistent generalized Langevin equation
(SCGLE) theory of colloid dynamics [Phys. Rev. E {\bf 62}, 3382 (2000); ibid
{\bf 72}, 031107 (2005)] is the introduction of exact short-time moment
conditions in its formulation. The need to previously calculate these exact
short-time properties constitutes a practical barrier for its application. In
this note we report that a simplified version of this theory, in which this
short-time information is eliminated, leads to the same results in the
intermediate and long-time regimes. Deviations are only observed at short
times, and are not qualitatively or quantitatively important. This is
illustrated by comparing the two versions of the theory for representative
model systems.
| cond-mat.mtrl-sci | one of the main elements of the selfconsistent generalized langevin equation scgle theory of colloid dynamics phys rev e bf 62 3382 2000 ibid bf 72 031107 2005 is the introduction of exact shorttime moment conditions in its formulation the need to previously calculate these exact shorttime properties constitutes a practical barrier for its application in this note we report that a simplified version of this theory in which this shorttime information is eliminated leads to the same results in the intermediate and longtime regimes deviations are only observed at short times and are not qualitatively or quantitatively important this is illustrated by comparing the two versions of the theory for representative model systems | [['one', 'of', 'the', 'main', 'elements', 'of', 'the', 'selfconsistent', 'generalized', 'langevin', 'equation', 'scgle', 'theory', 'of', 'colloid', 'dynamics', 'phys', 'rev', 'e', 'bf', '62', '3382', '2000', 'ibid', 'bf', '72', '031107', '2005', 'is', 'the', 'introduction', 'of', 'exact', 'shorttime', 'moment', 'conditions', 'in', 'its', 'formulation', 'the', 'need', 'to', 'previously', 'calculate', 'these', 'exact', 'shorttime', 'properties', 'constitutes', 'a', 'practical', 'barrier', 'for', 'its', 'application', 'in', 'this', 'note', 'we', 'report', 'that', 'a', 'simplified', 'version', 'of', 'this', 'theory', 'in', 'which', 'this', 'shorttime', 'information', 'is', 'eliminated', 'leads', 'to', 'the', 'same', 'results', 'in', 'the', 'intermediate', 'and', 'longtime', 'regimes', 'deviations', 'are', 'only', 'observed', 'at', 'short', 'times', 'and', 'are', 'not', 'qualitatively', 'or', 'quantitatively', 'important', 'this', 'is', 'illustrated', 'by', 'comparing', 'the', 'two', 'versions', 'of', 'the', 'theory', 'for', 'representative', 'model', 'systems']] | [-0.10468764293658654, 0.09387973551968096, -0.11353983884611357, 0.05899200239321794, -0.012055779871143467, -0.10384623793291703, 0.030693645785311318, 0.31226268337330726, -0.22187935188412666, -0.3004546014559084, 0.05118652527113404, -0.24997414606499724, -0.17633297431398084, 0.1933571859922227, -0.07150241199353363, 0.013029272465109496, 0.0422402507794477, 0.009302879613618144, -0.07215432346122652, -0.2441703837603924, 0.1954088961855978, 0.04516547173364665, 0.26289590598553814, 0.06840527697416864, 0.09718842007450562, 0.02138613140935787, -0.01990915926387616, -0.008382170131446513, -0.1877977574284449, 0.08242583292973253, 0.2029616600767899, 0.045164193034963274, 0.2463734204493529, -0.4072877825855945, -0.1923935996343802, 0.05694832728631728, 0.10193919942794631, 0.14747957084472169, 0.011349225136558566, -0.29034618800918083, 0.09095611380190646, -0.16970468216072931, -0.16361662883525796, -0.08646037619956563, 0.09082286591039954, 0.021426872912777867, -0.2630375744074385, 0.17483741194586708, 0.08847085365086002, 0.047373997816090696, -0.056773557427877035, -0.10012172263082678, 0.028868076121599404, 0.05664673740604678, 0.04006085518141796, 0.0320462549746086, 0.10740420648795182, -0.0921356736984211, -0.09731435660268715, 0.3712938573310333, -0.06825361692396083, -0.1720500257184556, 0.2202542869001215, -0.12157452733676254, -0.13745289353192247, 0.1260200601042273, 0.1159043005107185, 0.1486218565976066, -0.21192416836676575, 0.13196723468589341, -0.060724587948010014, 0.1369124395047537, 0.05573512086710703, 0.005092827409538811, 0.14325500980835507, 0.13730891826933464, -0.03757443163642841, 0.11853123339412289, -0.05369780006183855, -0.15812187449001106, -0.3329032700904439, -0.14362308672068855, -0.1801296735400812, 0.07244491490416448, -0.04125547835132544, -0.1290029339179133, 0.41523494569799013, 0.18397806631632982, 0.1658074788592624, 0.03567921899081892, 0.23917268592435703, 0.1403509422980117, -0.043185477312427605, 0.07763211955357574, 0.2501937914268831, 0.16888322900626315, 0.11286145986049576, -0.21653675293319125, 0.024132755807543222, 0.09421540142358405] |
711.1921 | Phenomenology of Light MSSM Higgs Boson Scenario | We have found that in the MSSM, the possibility for the lightest CP-even
Higgs boson to be lighter than $Z$ boson (as low as about 60 GeV) is, contrary
to the usual belief, not yet excluded by LEP2 Higgs search nor any direct
searches for supersymmetric particles at high energy colliders. The Light Higgs
boson scenario (LHS) is realised when the $ZZh$ coupling and the decay
branching ratio ${\rm Br}(h/A\to b\bar{b})$ are simultaneously suppressed as a
result of generic supersymmetric loop corrections. Consequently, the $W^\pm
H^\mp h$ coupling has to be large due to the sum rule of Higgs couplings to
weak gauge bosons and as we demonstrate, the associate neutral and charged
Higgs boson production process, $pp\to H^\pm h (A)$, at the LHC can completely
probe the LHS.
| hep-ph | we have found that in the mssm the possibility for the lightest cpeven higgs boson to be lighter than z boson as low as about 60 gev is contrary to the usual belief not yet excluded by lep2 higgs search nor any direct searches for supersymmetric particles at high energy colliders the light higgs boson scenario lhs is realised when the zzh coupling and the decay branching ratio rm brhato bbarb are simultaneously suppressed as a result of generic supersymmetric loop corrections consequently the wpm hmp h coupling has to be large due to the sum rule of higgs couplings to weak gauge bosons and as we demonstrate the associate neutral and charged higgs boson production process ppto hpm h a at the lhc can completely probe the lhs | [['we', 'have', 'found', 'that', 'in', 'the', 'mssm', 'the', 'possibility', 'for', 'the', 'lightest', 'cpeven', 'higgs', 'boson', 'to', 'be', 'lighter', 'than', 'z', 'boson', 'as', 'low', 'as', 'about', '60', 'gev', 'is', 'contrary', 'to', 'the', 'usual', 'belief', 'not', 'yet', 'excluded', 'by', 'lep2', 'higgs', 'search', 'nor', 'any', 'direct', 'searches', 'for', 'supersymmetric', 'particles', 'at', 'high', 'energy', 'colliders', 'the', 'light', 'higgs', 'boson', 'scenario', 'lhs', 'is', 'realised', 'when', 'the', 'zzh', 'coupling', 'and', 'the', 'decay', 'branching', 'ratio', 'rm', 'brhato', 'bbarb', 'are', 'simultaneously', 'suppressed', 'as', 'a', 'result', 'of', 'generic', 'supersymmetric', 'loop', 'corrections', 'consequently', 'the', 'wpm', 'hmp', 'h', 'coupling', 'has', 'to', 'be', 'large', 'due', 'to', 'the', 'sum', 'rule', 'of', 'higgs', 'couplings', 'to', 'weak', 'gauge', 'bosons', 'and', 'as', 'we', 'demonstrate', 'the', 'associate', 'neutral', 'and', 'charged', 'higgs', 'boson', 'production', 'process', 'ppto', 'hpm', 'h', 'a', 'at', 'the', 'lhc', 'can', 'completely', 'probe', 'the', 'lhs']] | [-0.0476327600613331, 0.3305409838576452, -0.005655009168549441, 0.20167079299115187, -0.10912015073881776, -0.2711129954768694, 0.05583495510654757, 0.3193566609716072, -0.20991669792783796, -0.25187414631818683, 0.01247072059140919, -0.269508407174726, 0.05688287991688412, 0.11345298652122437, 0.08943263528817624, 0.05851744133178727, 0.11578988107066834, 0.013672108372702496, 0.0046225864771258784, -0.28789065633645805, 0.24410585200530477, 0.037299111900210846, 0.14060744444577722, 0.11126785164742614, 0.04103973972712538, 0.05700140272710996, 0.029404444651390804, -0.1390017962694401, -0.1119916191476591, 0.03818613484963862, 0.17525927311362466, 0.052593977268770686, 0.11967610268038698, -0.22358627778157825, -0.08865317649906501, 0.24837008409303962, 0.22245053543520044, 0.08009492552628217, -0.04708003714767983, -0.35643127130606445, 0.16151331172295613, -0.2378780829894822, -0.07273403217641317, -0.054102878058074566, -0.06438371311924129, -0.15938934527366655, -0.3687027010273596, 0.0826134017916047, -0.077656357705564, 0.003346149377648544, 0.058913564767863136, -0.1659446110497811, -0.15945099337113788, -0.07184812555601638, 0.1903702943652661, 0.057314043660881, 0.2190228239123826, -0.21691244599060155, -0.2183267879881896, 0.41786203384071996, -0.16201170644001195, -0.17411607957728847, 0.20774749867268838, -0.18455020676265121, -0.1666126264281047, 0.19465765352651943, 0.20770802858896786, 0.07475114739645505, -0.1751850550195968, 0.25214329455843654, -0.011774884780606953, 0.15318293548443762, 0.05987320027543319, 0.09489231788393226, 0.29342169134906726, 0.16513330520865566, 0.048558756987404195, 0.045752257215099235, -0.06662432315351907, -0.05761108236038126, -0.43983498664965737, -0.18464163675889722, -0.0451772447077019, 0.0870980652854314, -0.047757056940440634, -0.06652999569632811, 0.3084340980713023, 0.09470590529599576, 0.28742836203673505, 0.007497524988139048, 0.28380868695967365, 0.13041966792479798, 0.12018737598191365, 0.011251477517362218, 0.41174463711831777, 0.19272247035587498, 0.12814709502254118, -0.19115209214032802, -0.024453658792481292, 0.0920081029762514] |
711.1922 | Fabry-Perot interference, Kondo effect and Coulomb blockade in carbon
nanotubes | High quality single wall carbon nanotube quantum dots have been made showing
both metallic and semiconducting behavior. Some of the devices are identified
as small band gap semiconducting nanotubes with relatively high broad
conductance oscillations for hole transport through the valence band and low
conductance Coulomb blockade oscillations for electron transport through the
conduction band. The transition between these regimes illustrates that
transport evolves from being wave-like transmission known as Fabry-Perot
interference to single particle-like tunneling of electrons or holes. In the
intermediate regime four Coulomb blockade peaks appear in each Fabry-Perot
resonance, which is interpreted as entering the SU(4) Kondo regime. A bias
shift of opposite polarity for the Kondo resonances for one electron and one
hole in a shell is in some cases observed.
| cond-mat.mes-hall | high quality single wall carbon nanotube quantum dots have been made showing both metallic and semiconducting behavior some of the devices are identified as small band gap semiconducting nanotubes with relatively high broad conductance oscillations for hole transport through the valence band and low conductance coulomb blockade oscillations for electron transport through the conduction band the transition between these regimes illustrates that transport evolves from being wavelike transmission known as fabryperot interference to single particlelike tunneling of electrons or holes in the intermediate regime four coulomb blockade peaks appear in each fabryperot resonance which is interpreted as entering the su4 kondo regime a bias shift of opposite polarity for the kondo resonances for one electron and one hole in a shell is in some cases observed | [['high', 'quality', 'single', 'wall', 'carbon', 'nanotube', 'quantum', 'dots', 'have', 'been', 'made', 'showing', 'both', 'metallic', 'and', 'semiconducting', 'behavior', 'some', 'of', 'the', 'devices', 'are', 'identified', 'as', 'small', 'band', 'gap', 'semiconducting', 'nanotubes', 'with', 'relatively', 'high', 'broad', 'conductance', 'oscillations', 'for', 'hole', 'transport', 'through', 'the', 'valence', 'band', 'and', 'low', 'conductance', 'coulomb', 'blockade', 'oscillations', 'for', 'electron', 'transport', 'through', 'the', 'conduction', 'band', 'the', 'transition', 'between', 'these', 'regimes', 'illustrates', 'that', 'transport', 'evolves', 'from', 'being', 'wavelike', 'transmission', 'known', 'as', 'fabryperot', 'interference', 'to', 'single', 'particlelike', 'tunneling', 'of', 'electrons', 'or', 'holes', 'in', 'the', 'intermediate', 'regime', 'four', 'coulomb', 'blockade', 'peaks', 'appear', 'in', 'each', 'fabryperot', 'resonance', 'which', 'is', 'interpreted', 'as', 'entering', 'the', 'su4', 'kondo', 'regime', 'a', 'bias', 'shift', 'of', 'opposite', 'polarity', 'for', 'the', 'kondo', 'resonances', 'for', 'one', 'electron', 'and', 'one', 'hole', 'in', 'a', 'shell', 'is', 'in', 'some', 'cases', 'observed']] | [-0.1962998001023181, 0.19037050058388905, -0.023418447632889545, 0.07805840582087901, -0.0016975443392607664, -0.27289085350339376, 0.08796224780269854, 0.4210801680890163, -0.2564012759387316, -0.3075071099317736, -0.03281577096675478, -0.34523736741689465, -0.10427419662601241, 0.18103150536476206, 0.01965381270126691, 0.000650130990083747, 0.03401517851318839, -0.06324482165897886, -0.043313490439368975, -0.12939831781541072, 0.2576174022156804, 0.001976353141279625, 0.3089677937225335, 0.10923341993198153, 0.015238072220531721, 0.005322765703091309, 0.18487287139370373, 0.03287675440167241, -0.0836124675315948, -0.007912456109705899, 0.27113726347803124, -0.1584589126730515, 0.22902123369498267, -0.44747973721297013, -0.2176938909919016, -0.05716552266884329, 0.2522914325652112, 0.16049330796222278, -0.08993593376455089, -0.2904616983252622, -0.01143365346693567, -0.15781903235862652, -0.07315646343121197, -0.023540833111231525, -0.01478348728934569, -0.00983035145512235, -0.204533863491157, 0.13601873989128285, 0.004410260356962681, 0.02338767550527192, -0.042396906406331314, -0.13286109345536384, -0.07801035220646077, 0.10975783254160354, 0.04834975849925762, -0.054176070827192495, 0.23419728220647407, -0.1230363075192722, -0.13092667248380918, 0.35115906029998784, -0.060932237056217024, -0.051631570985865974, 0.1708784354499556, -0.26978594303456327, -0.027768024099281148, 0.21266957094508504, 0.0534591169599148, 0.06557181429132701, -0.1203058122986159, 0.0520363034140448, -0.007419434420409657, 0.1048106320908234, 0.11561711756734266, 0.15793734295515433, 0.3325696900959999, 0.19550087220878118, 0.02718403927024661, 0.10323482615843652, -0.17304827963530514, -0.043073423872036595, -0.23548818497903765, -0.12954611519429213, -0.2190234052970828, 0.09679841713255478, -0.035439622968768826, -0.2465981390208952, 0.4067151981081614, 0.0589219194482125, 0.2092862148540065, -0.08117744322249015, 0.2522997085190351, 0.1525817773986741, 0.07441455483554847, 0.014714025692748172, 0.28304303298003985, 0.18690140647554976, 0.13592113720415722, -0.3316902664013296, -0.005878618828275995, -0.042915868790938505] |
711.1923 | Non-local dynamics of Bell states in separate cavities | We present non-local dynamics of Bell states in separate cavities. It is
demonstrated that (i) the entanglement damping speed will saturate when the
cavity leakage rate $\gamma\geq 0.4$; (ii) the synchronism relationship between
the fidelity and the concurrence depends on the initial state; (iii) if the
initial state is $1/\sqrt{2}(|01>+|10>)$, the dynamics of entropy is opposite
to that of fidelity.
| quant-ph | we present nonlocal dynamics of bell states in separate cavities it is demonstrated that i the entanglement damping speed will saturate when the cavity leakage rate gammageq 04 ii the synchronism relationship between the fidelity and the concurrence depends on the initial state iii if the initial state is 1sqrt20110 the dynamics of entropy is opposite to that of fidelity | [['we', 'present', 'nonlocal', 'dynamics', 'of', 'bell', 'states', 'in', 'separate', 'cavities', 'it', 'is', 'demonstrated', 'that', 'i', 'the', 'entanglement', 'damping', 'speed', 'will', 'saturate', 'when', 'the', 'cavity', 'leakage', 'rate', 'gammageq', '04', 'ii', 'the', 'synchronism', 'relationship', 'between', 'the', 'fidelity', 'and', 'the', 'concurrence', 'depends', 'on', 'the', 'initial', 'state', 'iii', 'if', 'the', 'initial', 'state', 'is', '1sqrt20110', 'the', 'dynamics', 'of', 'entropy', 'is', 'opposite', 'to', 'that', 'of', 'fidelity']] | [-0.18719966468101334, 0.21004097276935513, -0.04941565676008241, 0.03899851065499992, 0.03241879398287353, -0.21439467979816057, 0.045052073846602717, 0.3542153678076752, -0.25514414559561915, -0.2306341886425675, 0.07543396836411113, -0.2915379946451571, -0.043948453606374685, 0.17650904967370679, -0.029734702370429442, 0.052115080594006234, 0.08098185391528374, 0.06644709574027081, -0.064348076746436, -0.24031160880172214, 0.33256821113370233, 0.061777787488269606, 0.342983362485923, 0.06876513823645852, 0.09038959050519486, -0.0690505341784555, 0.09960564435854302, -0.011992274846692207, -0.13442832151140774, 0.02746941855915238, 0.16374022155305593, 0.1796015040333367, 0.26722720618975365, -0.40211895856438046, -0.13343758082364576, 0.0833038271925712, 0.11058290905745352, 0.15713097800705897, 0.010089917145906237, -0.27759405654870856, -0.017850806573563714, -0.14557072577082505, -0.10413602654332832, -0.03486345454229642, 0.08626980523941881, 0.0009795380756258965, -0.2632304974279161, 0.1881901281175472, 0.0631692412119927, 0.0039378246548980225, -0.01620711695592282, -0.02263194388883599, -0.0842148083088509, 0.11659633599357853, -0.018849068123973526, 0.021225435915797695, 0.1423077224753797, -0.1669518128195304, -0.07673996982117326, 0.2525128226222123, -0.07200156710252671, -0.19868691330302066, 0.1800303594130328, -0.20542713321776965, -0.01900997970221659, 0.08035987029167807, 0.10411484468475742, 0.05011599821875156, -0.07122314422735668, 0.025156953828843406, 0.01489909561508793, 0.2645324622675524, 0.06811436403037632, 0.10438713841771675, 0.16380931017131117, 0.10090156191154935, 0.08163977872138306, 0.19844537068225476, -0.1255356445652038, -0.1469804808749991, -0.34027864390952606, -0.19596922452861476, -0.21834444011545787, 0.10409190381040513, -0.07554925143520419, -0.08353110782060204, 0.40253697196810934, 0.15011678135685497, 0.16086519583744013, 0.007691140022223531, 0.26976934206372094, 0.14547831789685128, -0.00430954857808301, 0.11347084136490347, 0.357185950471183, 0.1504569487030602, 0.091713666908001, -0.37562264668581596, 0.1229295179985811, 0.00971204147405796] |
711.1924 | Energy Landscape, Anti-Plasticization and Polydispersity Induced
Crossover of Heterogeneity in Supercooled Polydisperse Liquids | Polydispersity is found to have a significant effect on the potential energy
landscape; the the average inherent structure energy with temperature decreases
with polydispersity. Increasing polydispersity at fixed volume fraction
decreases the glass transition temperature and the fragility of glass formation
analogous to the antiplasticization seen in some polymeric melts. An
interesting temperature dependent crossover of heterogeneity with
polydispersity is observed at low temperature due to the faster build-up of
dynamic heterogeneity at lower polydispersity.
| cond-mat.soft cond-mat.stat-mech | polydispersity is found to have a significant effect on the potential energy landscape the the average inherent structure energy with temperature decreases with polydispersity increasing polydispersity at fixed volume fraction decreases the glass transition temperature and the fragility of glass formation analogous to the antiplasticization seen in some polymeric melts an interesting temperature dependent crossover of heterogeneity with polydispersity is observed at low temperature due to the faster buildup of dynamic heterogeneity at lower polydispersity | [['polydispersity', 'is', 'found', 'to', 'have', 'a', 'significant', 'effect', 'on', 'the', 'potential', 'energy', 'landscape', 'the', 'the', 'average', 'inherent', 'structure', 'energy', 'with', 'temperature', 'decreases', 'with', 'polydispersity', 'increasing', 'polydispersity', 'at', 'fixed', 'volume', 'fraction', 'decreases', 'the', 'glass', 'transition', 'temperature', 'and', 'the', 'fragility', 'of', 'glass', 'formation', 'analogous', 'to', 'the', 'antiplasticization', 'seen', 'in', 'some', 'polymeric', 'melts', 'an', 'interesting', 'temperature', 'dependent', 'crossover', 'of', 'heterogeneity', 'with', 'polydispersity', 'is', 'observed', 'at', 'low', 'temperature', 'due', 'to', 'the', 'faster', 'buildup', 'of', 'dynamic', 'heterogeneity', 'at', 'lower', 'polydispersity']] | [-0.10282462768256664, 0.30141395414422734, -0.08975828024869163, -0.003158161425963044, 0.005831043478101492, -0.1200663168169558, 0.0407772487650315, 0.3811188633739948, -0.24216767611602943, -0.3485492463161548, 0.009430945774850746, -0.3264060367643833, -0.08492135083923737, 0.04938555839161078, -0.023721439689397814, 0.03426305800676346, -0.07417988327642282, 0.015463823148359855, -0.09200247122595707, -0.22335659716588754, 0.233526763903598, 0.14565102326373258, 0.34344408015410105, 0.20067139300207296, 0.08067453760653734, -0.030501838643103837, 0.08824156135320664, 0.10746169043083986, -0.23586526735996208, -0.019446897991001605, 0.21735420542458694, -0.06743407454962531, 0.27014497651097674, -0.3418046053343763, -0.2563042260085543, 0.12474566220926742, 0.13079024769365788, 0.10015867001066606, -0.06243113574416687, -0.174048694546024, 0.011406657584011555, -0.13648218316336472, -0.19206409235795338, -0.02360573925077915, 0.09795020759105683, 0.037759856693446635, -0.17516909303531672, 0.17837531025211018, 0.015056252020100752, 0.1332461875056227, -0.07414966862338285, -0.16103256091475487, -0.11810661940524976, 0.04024950314235563, 0.08597157806158066, 0.0528341224634399, 0.2776318468898535, -0.14422826308757067, 0.018176761486878, 0.3487499645104011, -0.021537574020524818, -0.05573848754167557, 0.25595540027444563, -0.20324958296492696, -0.11227444173768163, 0.30475087178250154, 0.16572442545400312, 0.011336631507923205, -0.0346630850690417, 0.007849321014170225, 0.07573422861595948, 0.2650075295815865, 0.0765961467847228, 0.03415263826958835, 0.24192032929509877, 0.30453336246311663, 0.047210757300878564, 0.2149128389164495, -0.08113151808890204, -0.14161244686692953, -0.1694013012293726, -0.12732208206007878, -0.2133768632138769, 0.015796423486123482, -0.23009726184090445, -0.18694860615457098, 0.279160596554478, 0.15119234972943862, 0.23989443411895384, 0.08598013098972539, 0.22240090012317523, 0.10892655223763237, 0.09406623147428035, 0.008680083838601907, 0.21261806303829264, 0.12730749083062012, 0.19056086459973207, -0.3292125174279014, 0.16636407775804402, -0.0444022133325537] |
711.1925 | Phase structure of twisted Eguchi-Kawai model | Twisted Eguchi-Kawai model is a useful tool for studying the large-N gauge
theory. It can also provide a nonperturbative formulation of the gauge theory
on noncommutative spaces. Recently it was found that the Z_N^4 symmetry in this
model, which is crucial for the above applications, can break spontaneously in
the intermediate coupling region. In this article, we study the phase structure
of this model using the Monte-Carlo simulation. In particular, we elaborately
investigate the symmetry breaking point from the weak coupling side. The
simulation results show that we cannot take a continuum limit for this model.
| hep-lat hep-th | twisted eguchikawai model is a useful tool for studying the largen gauge theory it can also provide a nonperturbative formulation of the gauge theory on noncommutative spaces recently it was found that the z_n4 symmetry in this model which is crucial for the above applications can break spontaneously in the intermediate coupling region in this article we study the phase structure of this model using the montecarlo simulation in particular we elaborately investigate the symmetry breaking point from the weak coupling side the simulation results show that we cannot take a continuum limit for this model | [['twisted', 'eguchikawai', 'model', 'is', 'a', 'useful', 'tool', 'for', 'studying', 'the', 'largen', 'gauge', 'theory', 'it', 'can', 'also', 'provide', 'a', 'nonperturbative', 'formulation', 'of', 'the', 'gauge', 'theory', 'on', 'noncommutative', 'spaces', 'recently', 'it', 'was', 'found', 'that', 'the', 'z_n4', 'symmetry', 'in', 'this', 'model', 'which', 'is', 'crucial', 'for', 'the', 'above', 'applications', 'can', 'break', 'spontaneously', 'in', 'the', 'intermediate', 'coupling', 'region', 'in', 'this', 'article', 'we', 'study', 'the', 'phase', 'structure', 'of', 'this', 'model', 'using', 'the', 'montecarlo', 'simulation', 'in', 'particular', 'we', 'elaborately', 'investigate', 'the', 'symmetry', 'breaking', 'point', 'from', 'the', 'weak', 'coupling', 'side', 'the', 'simulation', 'results', 'show', 'that', 'we', 'can', 'not', 'take', 'a', 'continuum', 'limit', 'for', 'this', 'model']] | [-0.11334498628935556, 0.1336431159618666, -0.14059141694241656, 0.11636110493846084, -0.04229091166413015, -0.1028138714285625, 0.027441884282995592, 0.3721552051450174, -0.25730738541130554, -0.26142938299699847, 0.0945624536210575, -0.20637242099721484, -0.20451223287616194, 0.12958559525420063, -0.005997863586466356, 0.012491712764327981, 0.014931960444244528, 0.013414863566928016, -0.07469236969314132, -0.17918957980378464, 0.3066254677058956, 0.05981289889164192, 0.31659083847033304, 0.10296451626825578, 0.056405675563884455, 0.007708911036294837, 0.043738163321173376, 0.015161558630463388, -0.13584111967515897, 0.08174025733984008, 0.19997887053891786, 0.01909560421673754, 0.2116283006298826, -0.4068394945070301, -0.25449574154264, 0.08931641002214447, 0.16575667007643843, 0.17933116873759852, -0.07258772502110829, -0.2954613167082065, 0.08377707254179974, -0.18249884190412297, -0.14502025758319526, -0.10422752884975106, -0.054084985459357804, -0.07885360936922281, -0.2733297062924938, 0.04676950066896472, 0.03797331387021089, 0.037889537593522635, -0.02929129683863871, -0.02568189909720083, -0.040847757691997534, 0.11214593313538383, 0.0673029433369406, 0.047820910991447946, 0.06316787117045641, -0.1464421427664683, -0.08806436178130433, 0.4003722801415691, -0.047759118557129936, -0.1888817016169736, 0.163067384128526, -0.13834898970713935, -0.2333207139217285, 0.08139667228901203, 0.15592265611792885, 0.1374263522051966, -0.1305770635822087, 0.17633730339212822, -0.11519586533960915, 0.1749012098883485, -0.00899610132430248, -0.005828358722639452, 0.2231702662370715, 0.17877569091602316, 0.012746980041745551, 0.17667046584160134, -0.04616126633782093, -0.15078901516492046, -0.38961149786704596, -0.14264429047266886, -0.14497832584761314, 0.06369373414526842, -0.08766604099691529, -0.1168271371057814, 0.3783322594695024, 0.2272161492050539, 0.1551319527362963, 0.026213979464955628, 0.2504982553931318, 0.15671643280164943, 0.07735832882613021, 0.005294393971274348, 0.28386261015194325, 0.1311911001475048, 0.08065875083419312, -0.2133502224772285, -0.025533806508618223, 0.12661480785289914] |
711.1926 | Measurement of neutral pion pair production in two-photon collisions | The differential cross section of the process gamma gamma -> pi^0 pi^0 has
been measured in the kinematical range 0.6 GeV < W < 4.0 GeV and |cos
theta*|<0.8 in energy and pion scattering angle, respectively, in the gamma
gamma center-of-mass system. We find at least four resonant structures
including a peak from f_0(980). In addition, there is evidence for chi_{c0}
production. We also make a preliminary discussion of the angular dependence and
cross section ratio to gamma gamma -> pi^+ pi^-.
| hep-ex | the differential cross section of the process gamma gamma pi0 pi0 has been measured in the kinematical range 06 gev w 40 gev and cos theta08 in energy and pion scattering angle respectively in the gamma gamma centerofmass system we find at least four resonant structures including a peak from f_0980 in addition there is evidence for chi_c0 production we also make a preliminary discussion of the angular dependence and cross section ratio to gamma gamma pi pi | [['the', 'differential', 'cross', 'section', 'of', 'the', 'process', 'gamma', 'gamma', 'pi0', 'pi0', 'has', 'been', 'measured', 'in', 'the', 'kinematical', 'range', '06', 'gev', 'w', '40', 'gev', 'and', 'cos', 'theta08', 'in', 'energy', 'and', 'pion', 'scattering', 'angle', 'respectively', 'in', 'the', 'gamma', 'gamma', 'centerofmass', 'system', 'we', 'find', 'at', 'least', 'four', 'resonant', 'structures', 'including', 'a', 'peak', 'from', 'f_0980', 'in', 'addition', 'there', 'is', 'evidence', 'for', 'chi_c0', 'production', 'we', 'also', 'make', 'a', 'preliminary', 'discussion', 'of', 'the', 'angular', 'dependence', 'and', 'cross', 'section', 'ratio', 'to', 'gamma', 'gamma', 'pi', 'pi']] | [-0.11332675503889242, 0.21731635876737224, -0.10806136498323236, 0.11240418355562444, -0.04487185768830853, -0.09421304092318632, 0.07107689692519414, 0.4001457883188358, -0.2138686984872971, -0.2645448856294537, -0.10887823373867342, -0.40171420224345267, 0.03278492114697702, 0.2042198752423223, 0.14123550888437492, 0.10242910030632256, 0.09158221657316272, 0.05756670770605501, -0.03637183315526599, -0.10043361349753702, 0.30833330423308486, 0.06315575245743951, 0.19213335507382184, 0.1725513060660794, 0.039006409026348055, 0.06807429513010459, -0.05551122566192554, -0.119933125968927, -0.2268364929403059, -0.01825613766693725, 0.2573686496903881, 0.018815976719801817, 0.0699462801612054, -0.21904143873745432, -0.05493403503295177, 0.1480065202161383, 0.1546229306035317, -0.05158580094874383, -0.008630176800159881, -0.2906879683335622, 0.10166402514546345, -0.21418238503153986, -0.10745875294863556, 0.0011608636854455257, 0.10876673065388623, -0.09409568776400426, -0.28081688884263617, 0.09717792088355427, -0.03842882852022273, 0.056030005625544645, -0.023860128915820938, -0.26787980628432706, -0.022260511085056722, -0.03576152418286373, 0.12323753980177944, 0.11049910105215624, 0.1847294138577313, -0.10565494067775898, -0.13556242227339402, 0.37645945156691596, -0.055999710639484994, -0.14307317600991482, 0.08980676542537716, -0.2698371444398967, -0.15943991414342934, 0.2950174613043857, 0.22022489504888654, 0.029266178376602534, -0.16765777979237148, 0.14562758855679883, 0.006458132647168942, 0.2109557157412219, 0.17717104081589824, 0.01567147084726737, 0.1302655593623431, 0.17170385567274374, -0.03527740981334295, 0.023405588418543816, -0.21824582205273402, -0.0011515468209743118, -0.41934335344017315, -0.14865280402740702, 0.015924308874393597, 0.13478704953554255, -0.06625191204623732, -0.01088788584829905, 0.29223115905785024, -0.01589930542776039, 0.34051631613133043, -0.01924647343530057, 0.27787332106620455, 0.16291428031399846, 0.006514829517795871, 0.08584893595737715, 0.32191628040984654, 0.19737337801892024, 0.15065440914641398, -0.18573776487177476, 0.0015903678603279286, -0.0736049705137236] |
711.1927 | Recent studies of Charmonium Decays at CLEO | Recent results on Charmonium decays are reviewed which includes two-, three-
and four-body decays of $\chi_{cJ}$ states, observations of Y(4260) through
$\pi\pi J/\psi$ transitions, precise measurements of $M(D^0)$, $M(\eta)$ as
well as $\mathcal{B}(\eta\to X)$.
| hep-ex | recent results on charmonium decays are reviewed which includes two three and fourbody decays of chi_cj states observations of y4260 through pipi jpsi transitions precise measurements of md0 meta as well as mathcalbetato x | [['recent', 'results', 'on', 'charmonium', 'decays', 'are', 'reviewed', 'which', 'includes', 'two', 'three', 'and', 'fourbody', 'decays', 'of', 'chi_cj', 'states', 'observations', 'of', 'y4260', 'through', 'pipi', 'jpsi', 'transitions', 'precise', 'measurements', 'of', 'md0', 'meta', 'as', 'well', 'as', 'mathcalbetato', 'x']] | [-0.06805395865530679, 0.27120772661697684, -0.07701252683094054, 0.12284510752016847, -0.0014578980026823101, -0.17137498995571426, 0.07430810609013971, 0.2936068530561346, -0.1180367716305861, -0.16586238574801068, -0.0635617540754152, -0.45928284768579586, 0.01860359754187591, 0.13943045625858236, 0.1430493023133639, 0.22472775939174675, 0.1879738668318499, -0.017506941306320103, -0.05791018697941168, -0.14520286920367542, 0.2814664731761723, -0.0970884823437893, 0.13825855054187053, 0.16810234391948942, -0.09849177574682416, 0.03850630450655113, -0.044796041466973045, -0.115341692372705, -0.18766003237529236, -0.007637650206699177, 0.29740710307360685, 0.15453406687205037, 0.06671753709176273, -0.32295099710763403, -0.06847279623263713, 0.06413733439915108, 0.2118441187000523, 0.06254229633575023, 0.014054230735355028, -0.455404890080293, 0.08364919539202344, -0.13956821162366506, 0.02339228279324192, -0.1632562747338053, 0.060905431691825274, -0.045492505711136444, -0.3386185020208359, 0.11128496940275936, -0.08085306637539444, 0.041989926785004864, -0.049266869837248865, -0.3599792140338457, -0.03635052245138495, 0.00832031729320685, 0.1420256725202004, 0.1200438847088001, 0.21345681201835925, -0.04437592698994911, -0.29790764496746386, 0.3908156832172112, -0.05587903195709893, -0.1285929415713657, 0.16098499343250738, -0.15104601210491223, -0.23672170495388634, 0.16094421440820125, 0.18378772120922804, 0.09506484922586066, -0.14997211936861277, 0.05793431900603922, -0.02563039427905372, 0.13364180042690627, 0.06740993159738454, 0.20008429721223586, 0.13722964477809993, 0.21974917557654958, -0.08839806776042237, 0.04428488426051582, -0.10171162993929377, -0.10770348851766551, -0.4167363298210231, -0.14330781296347128, -0.09867863880583283, 0.13523528453978625, 0.044269003157916646, -0.08109789330399397, 0.3535600018997987, -0.099621659737419, 0.37671660767360166, -0.04078067457797288, 0.3258226966541825, 0.009000409362753007, -0.05106173582713713, 0.005634097382426262, 0.3362898761124322, 0.2699782221267621, 0.09472795474258336, -0.24728258131918582, 0.031551867317775206, -0.0032681935664379234] |
711.1928 | Duality of Anderson T-motives | Let $M$ be a T-motive. We introduce the notion of duality for $M$. Main
results of the paper (we consider uniformizable $M$ over $F_q[T]$ of rank $r$,
dimension $n$, whose nilpotent operator $N$ is 0):
1. Algebraic duality implies analytic duality (Theorem 5). Explicitly, this
means that the lattice of the dual of $M$ is the dual of the lattice of $M$,
i.e. the transposed of a Siegel matrix of $M$ is a Siegel matrix of the dual of
$M$.
2. Let $n=r-1$. There is a 1 -- 1 correspondence between pure T-motives (all
they are uniformizable), and lattices of rank $r$ in $C^n$ having dual
(Corollary 8.4).
| math.NT math.AG | let m be a tmotive we introduce the notion of duality for m main results of the paper we consider uniformizable m over f_qt of rank r dimension n whose nilpotent operator n is 0 1 algebraic duality implies analytic duality theorem 5 explicitly this means that the lattice of the dual of m is the dual of the lattice of m ie the transposed of a siegel matrix of m is a siegel matrix of the dual of m 2 let nr1 there is a 1 1 correspondence between pure tmotives all they are uniformizable and lattices of rank r in cn having dual corollary 84 | [['let', 'm', 'be', 'a', 'tmotive', 'we', 'introduce', 'the', 'notion', 'of', 'duality', 'for', 'm', 'main', 'results', 'of', 'the', 'paper', 'we', 'consider', 'uniformizable', 'm', 'over', 'f_qt', 'of', 'rank', 'r', 'dimension', 'n', 'whose', 'nilpotent', 'operator', 'n', 'is', '0', '1', 'algebraic', 'duality', 'implies', 'analytic', 'duality', 'theorem', '5', 'explicitly', 'this', 'means', 'that', 'the', 'lattice', 'of', 'the', 'dual', 'of', 'm', 'is', 'the', 'dual', 'of', 'the', 'lattice', 'of', 'm', 'ie', 'the', 'transposed', 'of', 'a', 'siegel', 'matrix', 'of', 'm', 'is', 'a', 'siegel', 'matrix', 'of', 'the', 'dual', 'of', 'm', '2', 'let', 'nr1', 'there', 'is', 'a', '1', '1', 'correspondence', 'between', 'pure', 'tmotives', 'all', 'they', 'are', 'uniformizable', 'and', 'lattices', 'of', 'rank', 'r', 'in', 'cn', 'having', 'dual', 'corollary', '84']] | [-0.22461372983743105, 0.14218757272410754, -0.06995222703162059, 0.010175791968347801, -0.0243234134879764, -0.1848936072750905, 0.0028995541294288135, 0.3016445867578003, -0.26877955994873404, -0.2203330114705784, 0.09770787718910376, -0.2493991375700614, -0.15090626216967912, 0.11336992723893409, -0.09257612359888469, -0.053320405996082544, -0.0258674248095567, 0.10665940063370165, -0.1493022624951587, -0.31477566203537666, 0.37154714982504045, -0.06124729850268531, 0.17376054180176737, 0.029243884660373223, 0.11541138959735214, 0.03840400773931782, -0.019695773962275866, -0.01790384017801452, -0.15355090798069473, 0.16345407722287195, 0.30367697941174154, 0.11792084850832193, 0.22530060983915753, -0.3398186834093845, -0.09579733512843046, 0.18904205384255152, 0.12282919177946539, -0.06561392390987375, 0.03419019187861514, -0.18776749225472597, 0.1761678426159833, -0.16373084373685104, -0.16708227215883123, -0.013797942871036374, 0.11730095027145172, -0.020998465428215877, -0.31211045434454754, -0.006388021363206556, 0.13773551983671767, 0.12158763849080723, -0.040713506554923604, -0.146238149562225, -0.05617378545254817, 0.06326023629261616, -0.043095173937634124, 0.09461191253057707, 0.024227182685493308, -0.04362963375670261, -0.09285459561745645, 0.35224569598909156, -0.08115383200173344, -0.20212878241577995, 0.14225207220449626, -0.1952289105436512, -0.11687237842043287, 0.07747898624217678, 0.07067188849698787, 0.18774760102855356, 0.010321941374687948, 0.27365604207892336, -0.20349701385179134, 0.10399070691108425, 0.1111819692016971, 0.0012993623293657726, 0.13709682872884463, 0.07738112633891195, 0.09147849136301986, 0.1276667552845657, 0.010140682809994878, 0.011112620913702125, -0.36901966698258837, -0.2038855888254105, -0.214282832969041, 0.22065711695326615, -0.16967803822429395, -0.11427685273724182, 0.34196975407686747, 0.031066178400765792, 0.20192743601956378, 0.13111807478844215, 0.15902227284299714, 0.07339326533375778, 0.03303336770334673, 0.08886626398704389, 0.09544828231228847, 0.26380964251078454, -0.028204908055932235, -0.16288564298421615, -0.08864534458267355, 0.2177482544505429] |
711.1929 | Photoionization accompanied by excitation at intermediate photon
energies | We calculate the photoionization with excitation-to photoionization ratios
for atomic helium and heliumlike ions at intermediate values of the photon
energies. The final state interactions between the electrons are included in
the lowest order of their Sommerfeld parameter. This enables us, in contrast to
purely numerical calculations to investigate the roles of various mechanisms
contributing beyond the high energy limit. The system of the two bound
electrons is described by the functions obtained by the Correlation Function
Hyperspherical Harmonic Method. For the case of heliumlike ions we present the
high energy limits as power expansion in inverse charge of the nucleus. We
analyse the role of excitation of states with the nonzero orbital momenta.
| quant-ph | we calculate the photoionization with excitationto photoionization ratios for atomic helium and heliumlike ions at intermediate values of the photon energies the final state interactions between the electrons are included in the lowest order of their sommerfeld parameter this enables us in contrast to purely numerical calculations to investigate the roles of various mechanisms contributing beyond the high energy limit the system of the two bound electrons is described by the functions obtained by the correlation function hyperspherical harmonic method for the case of heliumlike ions we present the high energy limits as power expansion in inverse charge of the nucleus we analyse the role of excitation of states with the nonzero orbital momenta | [['we', 'calculate', 'the', 'photoionization', 'with', 'excitationto', 'photoionization', 'ratios', 'for', 'atomic', 'helium', 'and', 'heliumlike', 'ions', 'at', 'intermediate', 'values', 'of', 'the', 'photon', 'energies', 'the', 'final', 'state', 'interactions', 'between', 'the', 'electrons', 'are', 'included', 'in', 'the', 'lowest', 'order', 'of', 'their', 'sommerfeld', 'parameter', 'this', 'enables', 'us', 'in', 'contrast', 'to', 'purely', 'numerical', 'calculations', 'to', 'investigate', 'the', 'roles', 'of', 'various', 'mechanisms', 'contributing', 'beyond', 'the', 'high', 'energy', 'limit', 'the', 'system', 'of', 'the', 'two', 'bound', 'electrons', 'is', 'described', 'by', 'the', 'functions', 'obtained', 'by', 'the', 'correlation', 'function', 'hyperspherical', 'harmonic', 'method', 'for', 'the', 'case', 'of', 'heliumlike', 'ions', 'we', 'present', 'the', 'high', 'energy', 'limits', 'as', 'power', 'expansion', 'in', 'inverse', 'charge', 'of', 'the', 'nucleus', 'we', 'analyse', 'the', 'role', 'of', 'excitation', 'of', 'states', 'with', 'the', 'nonzero', 'orbital', 'momenta']] | [-0.09360765495164468, 0.1762932275166422, -0.015601446158232052, 0.09988225474788816, 0.061647011528607555, -0.060293259548303564, 0.06536747872689327, 0.3387825197284728, -0.20930016474732388, -0.3262932545184034, -0.03949150394759578, -0.3299696772334586, 0.0036357949627975447, 0.15652424590538494, 0.0958610915133845, 0.030433527312568074, 0.020209089902320267, -0.0055246635863508, -0.0840814110649898, -0.1616610668978728, 0.3382544856584441, 0.12319605418406757, 0.217515862932165, 0.11984258668145126, 0.07455677595978553, 0.0207398244348742, 0.002137006808533869, -0.0681599966884978, -0.1388544029910612, 0.12909143971252476, 0.2334420857868627, 0.009861076102320072, 0.22154534545694107, -0.4332576028887281, -0.1651692003984235, 0.0780905341993259, 0.16647962690743132, 0.13885789001937462, -0.026200285741845065, -0.21576344538933342, -0.006315231496319834, -0.20572924575216212, -0.1748434382993563, -0.09058091664208776, 0.0028055792847499913, 0.06273315776864775, -0.26644524986303486, 0.11336181873421647, 0.024406203153271196, 0.020252153435472164, -0.11820297332200329, -0.15004348040628454, -0.04307820104923825, 0.10606882553877292, 0.04638006288992999, -0.025482673142352596, 0.1547679311958496, -0.13961208138853906, -0.09020665777482471, 0.3928417843576949, -0.07200803368175156, -0.1626150106642379, 0.17192854223756399, -0.20841466530794855, -0.09533744981714351, 0.18867962131177826, 0.139570555958765, 0.12108447708486192, -0.10032302353827827, 0.08011397807525349, 0.022637436063383268, 0.14979770540185602, 0.06943328948526652, 0.07818852727449771, 0.1763172582022648, 0.09675074554979801, -0.017231555020980602, 0.14703561274120502, -0.14108515412142847, -0.0890951149775523, -0.2983816923507679, -0.14697503753313465, -0.18108538511019628, 0.01470243762065945, -0.0755364894247521, -0.11635504971233616, 0.4050299086715136, 0.10264935732646062, 0.2123560907001879, -0.035487572856214455, 0.2901321728755019, 0.20307748555308786, 0.009868438946973302, 0.036459088902425975, 0.3244844351841582, 0.1757390944810535, 0.09061876147062378, -0.31597610660498976, 0.033622526102163625, 0.08305178346128854] |
711.193 | Bootstrap Confidence Regions for Optimal Operating Conditions in
Response Surface Methodology | This article concerns the application of bootstrap methodology to construct a
likelihood-based confidence region for operating conditions associated with the
maximum of a response surface constrained to a specified region. Unlike
classical methods based on the stationary point, proper interpretation of this
confidence region does not depend on unknown model parameters. In addition, the
methodology does not require the assumption of normally distributed errors. The
approach is demonstrated for concave-down and saddle system cases in two
dimensions. Simulation studies were performed to assess the coverage
probability of these regions.
| stat.ME | this article concerns the application of bootstrap methodology to construct a likelihoodbased confidence region for operating conditions associated with the maximum of a response surface constrained to a specified region unlike classical methods based on the stationary point proper interpretation of this confidence region does not depend on unknown model parameters in addition the methodology does not require the assumption of normally distributed errors the approach is demonstrated for concavedown and saddle system cases in two dimensions simulation studies were performed to assess the coverage probability of these regions | [['this', 'article', 'concerns', 'the', 'application', 'of', 'bootstrap', 'methodology', 'to', 'construct', 'a', 'likelihoodbased', 'confidence', 'region', 'for', 'operating', 'conditions', 'associated', 'with', 'the', 'maximum', 'of', 'a', 'response', 'surface', 'constrained', 'to', 'a', 'specified', 'region', 'unlike', 'classical', 'methods', 'based', 'on', 'the', 'stationary', 'point', 'proper', 'interpretation', 'of', 'this', 'confidence', 'region', 'does', 'not', 'depend', 'on', 'unknown', 'model', 'parameters', 'in', 'addition', 'the', 'methodology', 'does', 'not', 'require', 'the', 'assumption', 'of', 'normally', 'distributed', 'errors', 'the', 'approach', 'is', 'demonstrated', 'for', 'concavedown', 'and', 'saddle', 'system', 'cases', 'in', 'two', 'dimensions', 'simulation', 'studies', 'were', 'performed', 'to', 'assess', 'the', 'coverage', 'probability', 'of', 'these', 'regions']] | [-0.10353466270889124, 0.00732960222351752, -0.08006398635393197, 0.06865145097973264, -0.06088009998045359, -0.1272275718923114, 0.1174419131234623, 0.38414801877996557, -0.18641570947666683, -0.3084490948953153, 0.135823454429249, -0.2136211964940087, -0.11707013223995193, 0.20989499624891814, -0.11051583897912341, 0.09162999551450268, 0.06369206928805018, 0.03926630451323025, -0.07960358156895872, -0.21367995587460112, 0.29885607482237597, 0.07621189627503411, 0.33898343723476604, 0.017616120910041787, 0.09080133994183179, 5.668686085453864e-05, -0.05978379371769601, 0.03708280260777909, -0.1523579021162364, 0.10635652128355892, 0.23135730157491197, 0.1251581077191853, 0.2934135765339551, -0.38053594387314293, -0.25857297959999087, 0.1193603796758846, 0.15119238067392177, 0.07068507723363765, 0.021099379037642915, -0.2479778068098292, 0.07487344572299652, -0.14040541408709092, -0.16727210659784883, -0.030369358608143382, -0.04949975051404385, 0.009044412607222461, -0.3208109431722191, 0.08861914829591687, 0.050241192248179, 0.0638766872717507, -0.05216663771340351, -0.11571671722556223, 0.005327099787720134, 0.09363156940076459, 0.03187450960937762, -0.013427114967005641, 0.1622350424674622, -0.09042154870445976, -0.08695005442491953, 0.3124474749345793, -0.005629313882084542, -0.2600465020102062, 0.21191634350519084, -0.16151385347285632, -0.16471874460661678, 0.1548719753647286, 0.19818943404603037, 0.16049261699859682, -0.18261612419122725, 0.09681347391262043, 0.0012865281255727405, 0.17800395856016274, 0.02606040296887749, -0.012335180597944875, 0.2018072703942196, 0.1441412809556036, 0.08063696401737881, 0.09518846420288672, -0.13254176738235074, -0.13510070600955004, -0.3574132921822955, -0.09558481044983597, -0.18020714587123876, -0.03874663355089253, -0.04413199950035091, -0.2179707075061088, 0.38036103180368963, 0.20993907558875619, 0.176671062130481, 0.05203955283576853, 0.28082393231184294, 0.11453353440954109, 0.028719962660872032, 0.07366453677290276, 0.24717410969851392, 0.0746349798269528, 0.03460311481017578, -0.16400396143180435, 0.10354276570449636, 0.035683498621049727] |
711.1931 | Surface instability and isotopic impurities in quantum solids | In this paper we employ a self-consistent harmonic approximation to
investigate surface melting and local melting close to quantum impurities in
quantum solids. We show that surface melting can occur at temperatures much
lower than the critical temperature $T_c$ of the solid phase instability in the
bulk. Similar effects are driven by the presence of an isotope substitution. In
this latter case, we show that stronger local lattice fluctuations, induced by
a lighter isotope atom, can induce local melting of the host bulk phase.
Experimental consequences and the possible relevance in solid helium are
discussed.
| cond-mat.stat-mech cond-mat.other | in this paper we employ a selfconsistent harmonic approximation to investigate surface melting and local melting close to quantum impurities in quantum solids we show that surface melting can occur at temperatures much lower than the critical temperature t_c of the solid phase instability in the bulk similar effects are driven by the presence of an isotope substitution in this latter case we show that stronger local lattice fluctuations induced by a lighter isotope atom can induce local melting of the host bulk phase experimental consequences and the possible relevance in solid helium are discussed | [['in', 'this', 'paper', 'we', 'employ', 'a', 'selfconsistent', 'harmonic', 'approximation', 'to', 'investigate', 'surface', 'melting', 'and', 'local', 'melting', 'close', 'to', 'quantum', 'impurities', 'in', 'quantum', 'solids', 'we', 'show', 'that', 'surface', 'melting', 'can', 'occur', 'at', 'temperatures', 'much', 'lower', 'than', 'the', 'critical', 'temperature', 't_c', 'of', 'the', 'solid', 'phase', 'instability', 'in', 'the', 'bulk', 'similar', 'effects', 'are', 'driven', 'by', 'the', 'presence', 'of', 'an', 'isotope', 'substitution', 'in', 'this', 'latter', 'case', 'we', 'show', 'that', 'stronger', 'local', 'lattice', 'fluctuations', 'induced', 'by', 'a', 'lighter', 'isotope', 'atom', 'can', 'induce', 'local', 'melting', 'of', 'the', 'host', 'bulk', 'phase', 'experimental', 'consequences', 'and', 'the', 'possible', 'relevance', 'in', 'solid', 'helium', 'are', 'discussed']] | [-0.10587220914955986, 0.2978219596388762, -0.05832650795284855, 0.0642169854713996, 0.018048677515042456, -0.10195965862980014, 0.09912648685889221, 0.3587475487276127, -0.2587069329952723, -0.22799409788690114, 0.0011526766269908924, -0.30350988697946857, -0.12418568250233013, 0.15390571647960888, -0.013843763335362861, 0.019512023747359452, -0.02350092588335668, 0.021745492529589683, -0.14807534915774961, -0.23616926200491817, 0.285236796334778, 0.07180507060777593, 0.27624727205226296, 0.1310599229445583, -0.035459796657883805, -0.06390598036937023, 0.10130609709916538, 0.062042203785753564, -0.19847083855742026, 0.03346866673152698, 0.2182493569280364, -0.06308890342663385, 0.18638047446545802, -0.4852830597052449, -0.26909724562183807, 0.09667325389424437, 0.11546727004215905, 0.1964822060281509, -0.10976915427875754, -0.2268783680530951, 0.04964693432771846, -0.13525958292578397, -0.14776929371843212, -0.08742697259264165, -0.00690169352057733, -0.02236962522331037, -0.2125362280756235, 0.13515764237626604, 0.08900724245039256, 0.11096255529279772, -0.09775283664072815, -0.12549677244142482, -0.07523026132809096, 0.02657994001515602, 0.014917274142958617, 0.038798290250920936, 0.19912614741509682, -0.09592035010359005, -0.04174409417533561, 0.4250476303265283, -0.09583612587134427, -0.07626034754426464, 0.21670305572058024, -0.18719143462612442, -0.09845577259793094, 0.18713476381411678, 0.14147041860575738, 0.09682648202012244, -0.10426181452593913, 0.024253216051300496, 0.01368242568875614, 0.16073285800306814, 0.09827531889865274, 0.04322194099230202, 0.272786247132248, 0.1884568155203995, 0.03351717752061392, 0.18364433869719504, -0.09953017535521404, -0.11967695596149976, -0.27087469481323895, -0.18132793832276212, -0.17243726633881268, 0.034227846329878575, -0.059537458488117215, -0.16530292565493207, 0.3171780697315147, 0.1945332416333258, 0.18238031954817033, -0.07568151541544418, 0.2450863802511441, 0.11619042478697865, 0.02276119868773477, 0.031639877574420286, 0.28710622788455925, 0.14163991981921228, 0.07515733348891923, -0.30534679714688345, 0.08321921031333898, 0.07959263368607744] |
711.1932 | Two Dimensional Kodaira-Spencer Theory and Three Dimensional
Chern-Simons Gravity | Motivated by the six dimensional formulation of Kodaira-Spencer theory for
Calabi-Yau threefolds, we formulate a two dimensional version and argue that
this is the relevant field theory for the target space of local topological
B-model with a geometry based on a Riemann surface. We show that the Ward
identities of this quantum theory is equivalent to recursion relations recently
proposed by Eynard and Orantin to solve the topological B model. Our derivation
provides a conceptual explanation of this link and reveals a hidden affine
SL(2,R) symmetry. Moreover we argue that our results provide the strongest
evidence yet of the existence of topological M theory in one higher dimension,
which in this case can be closely related to SL(2,R)Chern-Simons formulation of
three dimensional gravity.
| hep-th | motivated by the six dimensional formulation of kodairaspencer theory for calabiyau threefolds we formulate a two dimensional version and argue that this is the relevant field theory for the target space of local topological bmodel with a geometry based on a riemann surface we show that the ward identities of this quantum theory is equivalent to recursion relations recently proposed by eynard and orantin to solve the topological b model our derivation provides a conceptual explanation of this link and reveals a hidden affine sl2r symmetry moreover we argue that our results provide the strongest evidence yet of the existence of topological m theory in one higher dimension which in this case can be closely related to sl2rchernsimons formulation of three dimensional gravity | [['motivated', 'by', 'the', 'six', 'dimensional', 'formulation', 'of', 'kodairaspencer', 'theory', 'for', 'calabiyau', 'threefolds', 'we', 'formulate', 'a', 'two', 'dimensional', 'version', 'and', 'argue', 'that', 'this', 'is', 'the', 'relevant', 'field', 'theory', 'for', 'the', 'target', 'space', 'of', 'local', 'topological', 'bmodel', 'with', 'a', 'geometry', 'based', 'on', 'a', 'riemann', 'surface', 'we', 'show', 'that', 'the', 'ward', 'identities', 'of', 'this', 'quantum', 'theory', 'is', 'equivalent', 'to', 'recursion', 'relations', 'recently', 'proposed', 'by', 'eynard', 'and', 'orantin', 'to', 'solve', 'the', 'topological', 'b', 'model', 'our', 'derivation', 'provides', 'a', 'conceptual', 'explanation', 'of', 'this', 'link', 'and', 'reveals', 'a', 'hidden', 'affine', 'sl2r', 'symmetry', 'moreover', 'we', 'argue', 'that', 'our', 'results', 'provide', 'the', 'strongest', 'evidence', 'yet', 'of', 'the', 'existence', 'of', 'topological', 'm', 'theory', 'in', 'one', 'higher', 'dimension', 'which', 'in', 'this', 'case', 'can', 'be', 'closely', 'related', 'to', 'sl2rchernsimons', 'formulation', 'of', 'three', 'dimensional', 'gravity']] | [-0.1478553376977378, 0.06918194892312415, -0.1310520670843095, 0.09919693673479936, -0.10064905317362825, -0.15376853269188986, 0.023078405351729177, 0.28217803470820924, -0.2407745862929303, -0.271900506709229, 0.08150256274947439, -0.22171189391138185, -0.263851134869896, 0.17112912214373058, -0.0979249700369527, 0.00422042317031959, -0.010480011076681683, 0.03758516040326241, -0.11181517195750455, -0.28365674765292004, 0.38038007112708494, -0.023346634479583104, 0.29884929518352765, 0.07535362034868144, 0.11349317425247435, 0.002015552807935193, -0.018461269013522588, 0.06303871321834463, -0.13665982628460413, 0.1988840853322114, 0.25059234052104495, 0.08515913307582806, 0.17729314818947775, -0.41541995133319104, -0.2340744976946687, 0.039370824802346285, 0.08971623848116056, 0.11090083215213915, -0.045133961256799575, -0.28563206621300674, 0.09253568325161202, -0.15557982028389472, -0.15881760302381437, -0.10586428438450714, 0.008987613095802666, -0.08812636712596553, -0.21807310097377564, 0.05440476819773617, 0.07033045476180363, 0.05940164438187389, -0.07671346522287512, -0.05477264508763405, -0.05024828711051311, 0.04491033722535844, 0.05777476283198711, 0.053462575804289494, 0.027522965083394933, -0.12438512680002203, -0.1700189224764949, 0.362322091228008, -0.0507204307865382, -0.22213419719377808, 0.18003743932177846, -0.12115672571951004, -0.21285376335364445, 0.08124020836911484, 0.09183946054153999, 0.13292476190559444, -0.1204572215477829, 0.14656544264384974, -0.11880502244457603, 0.13267361579585027, 0.04175588036658334, 0.022015405112694276, 0.22770569486100775, 0.12935681970118254, 0.06765360818015503, 0.1528740049135627, -0.031022180404254526, -0.10936748971647324, -0.3786967441928191, -0.21582644336597354, -0.13569460279636514, 0.11454804947592134, -0.08736868645792129, -0.1480455358024137, 0.3850200210400231, 0.1555340376679717, 0.18369601060804286, 0.07187230492747373, 0.2389752092145261, 0.13619898537318909, 0.059555415462007835, 0.035179898035941556, 0.19856309876338288, 0.19215316255576909, 0.02375806181989305, -0.19680221997140374, -0.049430607562335055, 0.20848038750624315] |
711.1933 | Weighted HLS inequalities for radial functions and Strichartz estimates
for wave and Schroedinger equations | This paper is concerned with derivation of the global or local in time
Strichartz estimates for radially symmetric solutions of the free wave equation
from some Morawetz-type estimates via weighted Hardy-Littlewood-Sobolev (HLS)
inequalities. In the same way we also derive the weighted end-point Strichartz
estimates with gain of derivatives for radially symmetric solutions of the free
Schroedinger equation.
The proof of the weighted HLS inequality for radially symmetric functions
involves an application of the weighted inequality due to Stein and Weiss and
the Hardy-Littlewood maximal inequality in the weighted Lebesgue space due to
Muckenhoupt. Under radial symmetry we get significant gains over the usual HLS
inequality and Strichartz estimate.
| math.AP | this paper is concerned with derivation of the global or local in time strichartz estimates for radially symmetric solutions of the free wave equation from some morawetztype estimates via weighted hardylittlewoodsobolev hls inequalities in the same way we also derive the weighted endpoint strichartz estimates with gain of derivatives for radially symmetric solutions of the free schroedinger equation the proof of the weighted hls inequality for radially symmetric functions involves an application of the weighted inequality due to stein and weiss and the hardylittlewood maximal inequality in the weighted lebesgue space due to muckenhoupt under radial symmetry we get significant gains over the usual hls inequality and strichartz estimate | [['this', 'paper', 'is', 'concerned', 'with', 'derivation', 'of', 'the', 'global', 'or', 'local', 'in', 'time', 'strichartz', 'estimates', 'for', 'radially', 'symmetric', 'solutions', 'of', 'the', 'free', 'wave', 'equation', 'from', 'some', 'morawetztype', 'estimates', 'via', 'weighted', 'hardylittlewoodsobolev', 'hls', 'inequalities', 'in', 'the', 'same', 'way', 'we', 'also', 'derive', 'the', 'weighted', 'endpoint', 'strichartz', 'estimates', 'with', 'gain', 'of', 'derivatives', 'for', 'radially', 'symmetric', 'solutions', 'of', 'the', 'free', 'schroedinger', 'equation', 'the', 'proof', 'of', 'the', 'weighted', 'hls', 'inequality', 'for', 'radially', 'symmetric', 'functions', 'involves', 'an', 'application', 'of', 'the', 'weighted', 'inequality', 'due', 'to', 'stein', 'and', 'weiss', 'and', 'the', 'hardylittlewood', 'maximal', 'inequality', 'in', 'the', 'weighted', 'lebesgue', 'space', 'due', 'to', 'muckenhoupt', 'under', 'radial', 'symmetry', 'we', 'get', 'significant', 'gains', 'over', 'the', 'usual', 'hls', 'inequality', 'and', 'strichartz', 'estimate']] | [-0.08121565998630137, 0.038820722137301214, -0.07012130383299578, 0.12163641606243926, -0.10831671513172739, -0.13417295991964295, 0.022031338189070653, 0.3027209311962948, -0.30992497496708477, -0.19597389165647414, 0.15984920848165254, -0.3062415878895089, -0.06651284937894211, 0.1984907291026427, -0.08375213858500602, 0.09403503032982213, 0.004393686023498073, 0.025060615019548104, -0.14083774077680405, -0.2524380776091316, 0.3830792295379103, -0.038695859709976736, 0.2316625020893957, 0.07624578671348324, 0.04301503972244372, 0.05175807030119617, -0.03647404929212884, -0.10079384536654347, -0.23827954829422707, 0.19166631807803836, 0.15546258241194513, 0.10938249162714415, 0.32471191728009136, -0.3882661590677336, -0.20134823020000797, 0.20270151284378057, 0.15502011069361496, 0.06332815892849152, -0.06979611931889908, -0.3618393532863451, 0.026201055342451148, -0.09427874393487742, -0.27686118476366234, -0.06232270170772158, -0.03132493016865412, 0.11436708817480627, -0.34773236869432783, 0.20461929265442816, 0.09715366105489227, 0.022225528366974803, -0.21815637722953196, -0.0958491827899573, -0.011437652081490383, 0.008749884944152804, 0.07669058033487323, 0.08228032394320867, 0.011219594474890432, -0.07088444114944667, -0.099155832987723, 0.3153580184427833, -0.09094162360090044, -0.2710151963401586, 0.04430452228626322, -0.1713456312843829, -0.09475764169127023, 0.04681927250450426, 0.15590202098353467, 0.13261203078228398, -0.15122447741311898, 0.14932889934605706, -0.0780814048552986, 0.10265852236765685, 0.12709491571770348, 0.08045414756607572, 0.0007454699392370675, 0.022382160990473327, 0.27953216634314815, 0.14555046390400295, 0.0017516978075428772, -0.10375758335677855, -0.37748399658829246, -0.1795165447706203, -0.1785153583837075, 0.11122772502624793, -0.18845936249252174, -0.17978149829346926, 0.353535900930575, 0.03335107387889416, 0.0992872396296044, 0.13798357969696778, 0.20362425386187955, 0.16781599687224408, 0.07740212569799308, 0.08436199612146535, 0.203754556080414, 0.22209770348640756, 0.18295491007776127, -0.1478181164179701, 0.03672906749565667, 0.23859828650746323] |
711.1934 | Toward a Gravitation Theory in Berwald--Finsler Space | Finsler geometry is a natural and fundamental generalization of Riemann
geometry. The Finsler structure depends on both coordinates and velocities. It
is defined as a function on tangent bundle of a manifold. We use the Bianchi
identities satisfied by Chern curvature to set up a gravitation theory in
Berwald-Finsler space. The geometric part of the gravitational field equation
is nonsymmetric in general. This indicates that the local Lorentz invariance is
violated. Nontrivial solutions of the gravitational field equation are
presented.
| gr-qc hep-th | finsler geometry is a natural and fundamental generalization of riemann geometry the finsler structure depends on both coordinates and velocities it is defined as a function on tangent bundle of a manifold we use the bianchi identities satisfied by chern curvature to set up a gravitation theory in berwaldfinsler space the geometric part of the gravitational field equation is nonsymmetric in general this indicates that the local lorentz invariance is violated nontrivial solutions of the gravitational field equation are presented | [['finsler', 'geometry', 'is', 'a', 'natural', 'and', 'fundamental', 'generalization', 'of', 'riemann', 'geometry', 'the', 'finsler', 'structure', 'depends', 'on', 'both', 'coordinates', 'and', 'velocities', 'it', 'is', 'defined', 'as', 'a', 'function', 'on', 'tangent', 'bundle', 'of', 'a', 'manifold', 'we', 'use', 'the', 'bianchi', 'identities', 'satisfied', 'by', 'chern', 'curvature', 'to', 'set', 'up', 'a', 'gravitation', 'theory', 'in', 'berwaldfinsler', 'space', 'the', 'geometric', 'part', 'of', 'the', 'gravitational', 'field', 'equation', 'is', 'nonsymmetric', 'in', 'general', 'this', 'indicates', 'that', 'the', 'local', 'lorentz', 'invariance', 'is', 'violated', 'nontrivial', 'solutions', 'of', 'the', 'gravitational', 'field', 'equation', 'are', 'presented']] | [-0.2346581668310056, 0.06908632912732, -0.09481618818650141, 0.10809260049593175, -0.19694401141067472, -0.10845897355576671, -0.0784253590825733, 0.28999174557201846, -0.2811377556711624, -0.22391909370316734, 0.06441362672249633, -0.2268544904581165, -0.21745586888039414, 0.17256703727607486, -0.08391482795624039, 0.013175565902662428, -0.016119976206741566, 0.062453287217435954, -0.12717391903913003, -0.2359016239156805, 0.4374576789751366, 0.03680452157424975, 0.2640369900596576, 0.04290153268471219, 0.17720649812276226, -0.03815940348431468, 0.005792160262058996, 0.07634446842417628, -0.12715582433202718, 0.08826376348026568, 0.16624107913267386, 0.10151209647448946, 0.20574854932359973, -0.38883972172684306, -0.20992627273066133, 0.07722861239615875, 0.06327778874318811, 0.06534246539201917, -0.012701421498639297, -0.32302937121425246, 0.03894402445706574, -0.08569994962573806, -0.18493660295358563, -0.08536967088150073, 0.048516764119856906, -0.011065775976528096, -0.18793956373149198, 0.08178234202905169, 0.050160682323989986, 0.0626862332340156, -0.10881240259785252, -0.023217307237165544, -0.037813813976731295, 0.023484935642137557, 0.08020837115171024, 0.09187499525709243, 0.13805660759275662, -0.11372334989601204, -0.06548292867697869, 0.4445693459408947, -0.08970574643227118, -0.33982262807851066, 0.08946894070345766, -0.14582826926290424, -0.14929154903710454, 0.10899119032546878, 0.13666691169543546, 0.17416005286895023, -0.09374839480144054, 0.20852052302341437, -0.06489513267444659, 0.09538150003439264, 0.09437767420364898, -0.018207279484147278, 0.2118659643574229, 0.07602793221137946, 0.10256925728643619, 0.08987260746616352, -0.0065720959542955775, -0.12519589393057778, -0.43442141696150544, -0.24657651734880254, -0.21572026023287563, 0.15297987413168238, -0.1566963798032714, -0.17352111325186642, 0.3956748481215084, 0.043469699111448816, 0.13220249937517167, 0.05845579344343064, 0.22871570987037465, 0.13492837224227133, 0.06275745337428171, 0.08743494500323565, 0.2783580784556232, 0.23344929571133816, 0.08887679841888102, -0.1605810225614099, -0.021238345446513048, 0.16228720037962158] |
711.1935 | Dirac fields, scalar fields and Final state boundary condition of Black
hole | We withdraw our paper for one doubt on one of equations .Due to this reason
we will check again our calculation and replace the revised version of this
paper.
| hep-th | we withdraw our paper for one doubt on one of equations due to this reason we will check again our calculation and replace the revised version of this paper | [['we', 'withdraw', 'our', 'paper', 'for', 'one', 'doubt', 'on', 'one', 'of', 'equations', 'due', 'to', 'this', 'reason', 'we', 'will', 'check', 'again', 'our', 'calculation', 'and', 'replace', 'the', 'revised', 'version', 'of', 'this', 'paper']] | [-0.05030747387429763, -0.021589781703620123, -0.1406877724903411, 0.07696850768868523, -0.1295194099175519, -0.09524564387212539, 0.11518274608132398, 0.284436389611199, -0.21802288929707017, -0.3055795931160964, 0.14772194614312772, -0.27140844141229475, -0.15798728314132013, 0.16889615267001348, -0.17000030739040212, -0.0228418895396693, 0.12543384544551373, 0.009001445346351328, -0.07192115765064955, -0.3258864424062957, 0.3773071688824686, 0.07070592816533713, 0.1901527051332182, 0.1430764556701841, 0.057162172899677836, 0.028237200582978027, -0.07517387955610094, 0.0005719402226908453, -0.16828124000337616, 0.15990115702152252, 0.18412420021546683, 0.11043937933021064, 0.3107525498188775, -0.450472715342867, -0.13838004336917195, 0.11169121163929331, 0.16392911485685357, 0.1968672830483009, -0.03158444242054147, -0.21307640959476604, 0.1422507906782216, -0.2380285076154717, -0.2179167833949985, -0.04561720904091309, -0.029807796316414045, -0.07403715240672745, -0.18805537921986704, -0.021501216587835346, 0.13667304678980646, -0.009272226646285632, -0.0782763193971638, -0.08045130749714785, 0.10088137628767511, 0.0712932553463455, 0.11759421568974082, 0.04786555152707573, 0.04019103767671462, -0.030573853082826424, -0.07664753860344403, 0.4132610849136936, -0.057517166153110304, -0.1806078851222992, 0.151730704675268, -0.09580809558773863, -0.26784218436685103, -0.018189190148279584, 0.1691950730385323, 0.1271993963841694, -0.15752255187594685, -0.0025665172363695658, -0.08598570371496267, 0.21013904504221062, 0.08238281277490073, -0.01915608121660249, 0.1550982696293243, 0.14854384987647162, 0.01679391269411506, 0.14541065021707067, -0.035710794554124105, -0.07321117137526643, -0.36604168600049514, -0.22877928165012393, -0.1378189008281534, 0.06599965447495723, 0.0268424541276984, -0.15177239072990828, 0.4010575882576663, 0.34296041037405617, 0.11839279699428328, 0.09084139315507792, 0.31839619955481513, 0.162602805219398, 0.0429078535144699, 0.05464222667546108, 0.264199063117648, 0.10526738913151724, 0.13166488098494453, -0.1605418249964714, 0.08465094822619496, 0.08184792188092552] |
711.1936 | Spectral properties of entanglement witnesses | Entanglement witnesses are observables which when measured, detect
entanglement in a measured composed system. It is shown what kind of relations
between eigenvectors of an observable should be fulfilled, to allow an
observable to be an entanglement witness. Some restrictions on the signature of
entaglement witnesses, based on an algebraic-geometrical theorem will be given.
The set of entanglement witnesses is linearly isomorphic to the set of maps
between matrix algebras which are positive, but not completely positive. A
translation of the results to the language of positive maps is also given. The
properties of entanglement witnesses and positive maps express as special cases
of general theorems for $k$-Schmidt witnesses and $k$-positive maps. The
results are therefore presented in a general framework.
| quant-ph | entanglement witnesses are observables which when measured detect entanglement in a measured composed system it is shown what kind of relations between eigenvectors of an observable should be fulfilled to allow an observable to be an entanglement witness some restrictions on the signature of entaglement witnesses based on an algebraicgeometrical theorem will be given the set of entanglement witnesses is linearly isomorphic to the set of maps between matrix algebras which are positive but not completely positive a translation of the results to the language of positive maps is also given the properties of entanglement witnesses and positive maps express as special cases of general theorems for kschmidt witnesses and kpositive maps the results are therefore presented in a general framework | [['entanglement', 'witnesses', 'are', 'observables', 'which', 'when', 'measured', 'detect', 'entanglement', 'in', 'a', 'measured', 'composed', 'system', 'it', 'is', 'shown', 'what', 'kind', 'of', 'relations', 'between', 'eigenvectors', 'of', 'an', 'observable', 'should', 'be', 'fulfilled', 'to', 'allow', 'an', 'observable', 'to', 'be', 'an', 'entanglement', 'witness', 'some', 'restrictions', 'on', 'the', 'signature', 'of', 'entaglement', 'witnesses', 'based', 'on', 'an', 'algebraicgeometrical', 'theorem', 'will', 'be', 'given', 'the', 'set', 'of', 'entanglement', 'witnesses', 'is', 'linearly', 'isomorphic', 'to', 'the', 'set', 'of', 'maps', 'between', 'matrix', 'algebras', 'which', 'are', 'positive', 'but', 'not', 'completely', 'positive', 'a', 'translation', 'of', 'the', 'results', 'to', 'the', 'language', 'of', 'positive', 'maps', 'is', 'also', 'given', 'the', 'properties', 'of', 'entanglement', 'witnesses', 'and', 'positive', 'maps', 'express', 'as', 'special', 'cases', 'of', 'general', 'theorems', 'for', 'kschmidt', 'witnesses', 'and', 'kpositive', 'maps', 'the', 'results', 'are', 'therefore', 'presented', 'in', 'a', 'general', 'framework']] | [-0.10320148897517356, 0.12844113503088012, -0.09304177473920087, 0.09707782383920857, -0.024704320445501558, -0.18842020469795293, -0.014985558980455001, 0.3446835797900955, -0.2876432093830469, -0.2244914841100884, 0.11542192540558366, -0.306977064164433, -0.13073025934087734, 0.24897722628278038, -0.07248043001163751, 0.06889640237980833, 0.039501493253434695, 0.0736403510789387, -0.0913386444056717, -0.2570936789542126, 0.3810093366385748, 0.04847321843844839, 0.22131005239207296, 0.12395932198269292, 0.11063988533569499, -0.07650771590997466, -0.04102337594376877, 0.05327736452174273, -0.11531394846582164, 0.10567806451193368, 0.2958080127369612, 0.22584722485238065, 0.21078485294031754, -0.34154613443339865, -0.11536705512359428, 0.18735996063333005, 0.0751071602726976, 0.12327169871617419, 0.026769020569433147, -0.32672745644425355, 0.04133736271857439, -0.13002669989752272, -0.0998126704711467, -0.13181390981771984, 0.05953605451698726, -0.033095125248655675, -0.2846570293137726, 0.036387197997100884, 0.09288090941651414, 0.06838970286771655, -0.03328929972097588, -0.028115783112783295, -0.0645479667155693, 0.13589646347027157, -0.038275721969936664, -0.010027340221373986, 0.11086852710383634, -0.0657415868792062, -0.16131874144581768, 0.34631759381542604, -0.029312970291357487, -0.265310038626194, 0.16466798973463787, -0.1567620703019202, -0.16476603114788305, 0.06737773056083825, 0.13969892041447263, 0.1354709917330183, -0.135826239876648, 0.03280398639908526, -0.12118944831114883, 0.1902935485210037, 0.07519381334617113, 0.11519670078705531, 0.20983541933819652, 0.021708966391937187, 0.11452624539670068, 0.18140524697858684, 0.04189461580826901, -0.048328170572252326, -0.34991644058997434, -0.19208030987065286, -0.21674665540340357, 0.05557084789240131, -0.09583779847768407, -0.1599911366868279, 0.385977237780268, 0.10916118018406754, 0.19185389599685246, 0.07147412263827088, 0.20816226901952178, 0.14456994562375863, 0.10551052261531974, 0.037341070058755574, 0.21341410277454997, 0.1885572110225136, 0.030392327485606073, -0.16851580400834792, 0.08726600225005919, 0.08230095882123957] |
711.1937 | Exponential sums and rank of double persymmetric matrices over F_2 | We obtain, using exponential quadratic sums, explicit expressions for the
number of double persymmetric matrices with entries in F_2 of given rank. (A
matix [a(i,j)) is persymmetric if a(i,j) = a(r,s) for i+j = r+s)
| math.NT | we obtain using exponential quadratic sums explicit expressions for the number of double persymmetric matrices with entries in f_2 of given rank a matix aij is persymmetric if aij ars for ij rs | [['we', 'obtain', 'using', 'exponential', 'quadratic', 'sums', 'explicit', 'expressions', 'for', 'the', 'number', 'of', 'double', 'persymmetric', 'matrices', 'with', 'entries', 'in', 'f_2', 'of', 'given', 'rank', 'a', 'matix', 'aij', 'is', 'persymmetric', 'if', 'aij', 'ars', 'for', 'ij', 'rs']] | [-0.20393830171087757, 0.10942943682312034, 0.06126528824097477, 0.059108240780915366, -0.029539527276938315, -0.24253632749605458, 0.023419691373419482, 0.35273690696340054, -0.2624056756030768, -0.20534707223123405, 0.11124529741573497, -0.27177369077980984, -0.19468164722911752, 0.18093864247202873, -0.05675395514117554, 0.033087437332142144, 0.033915476175025105, 0.16460593487136066, -0.16169895406346768, -0.3489917430561036, 0.29683365172240883, -0.07197525282390416, 0.09590161632513627, -0.049904752522706985, 0.10218325778259896, 0.05926637262746226, -0.06915236776694655, -0.09179101174231619, -0.1229219759843545, 0.10332222523720702, 0.26444263845769456, 0.16383695334661752, 0.18499131686985493, -0.36544845695607364, -0.008639725623652339, 0.23331922484794632, 0.1921104438661132, -0.053228638164000586, -0.058314634079579264, -0.1304089502664283, 0.18493186448540655, -0.20616324769798666, -0.10088881395768112, -0.06140836152007978, 0.09755582563593634, 0.056080762267811224, -0.5113077664282173, 0.05742324618040584, 0.0339894374483265, 0.09870524368307088, -0.01168013084679842, -0.32148900540778413, 0.06625703180907294, 0.09434913721634075, 0.03620899208908668, -0.045576475269626826, -0.011183074049768038, -0.06480287619342562, -0.08716682204976678, 0.27231652569025755, -0.0434832603095856, -0.2799183011520654, -0.0032501501555088907, -0.23827389944926836, -0.1475767657684628, 0.1448207830399042, 0.12628723893431015, 0.11877882450153265, -0.053757016197778285, 0.21376694226637483, -0.18670245580142364, 0.14845293358666822, 0.12340201408369467, 0.009890965855447575, 0.09158043545903638, -0.03276898246258497, 0.06321397687133867, 0.12181071855593473, -0.05183916310488712, 0.044550879450980574, -0.34545838204212487, -0.15487237717024982, -0.2127607032598462, 0.1105475748590834, -0.18959806647035293, -0.25450278108473867, 0.42294276505708694, -0.02358998081763275, 0.17433558363700286, 0.15147940651513636, 0.2218687264539767, 0.11483226902782917, 0.037501352140679955, 0.12564337823710048, 0.04091630771290511, 0.24249722102831583, 0.00869695759320166, -0.09090811049100012, 0.034778699395246804, 0.2178051519440487] |
711.1938 | Comparison of two models of electric neuro-stimulation and consequences
for the design of retinal prostheses | Two simple mathematical models of electric neuro-stimulation are derived and
discussed. It is found that the common injected-charge model is less realistic
than a model, in which a latency period, which follows after a short electric
pulse, plays a role as important as the electric pulse. A stimulation signal is
proposed that takes advantage of these findings and calls for experimental
testing.
| q-bio.NC | two simple mathematical models of electric neurostimulation are derived and discussed it is found that the common injectedcharge model is less realistic than a model in which a latency period which follows after a short electric pulse plays a role as important as the electric pulse a stimulation signal is proposed that takes advantage of these findings and calls for experimental testing | [['two', 'simple', 'mathematical', 'models', 'of', 'electric', 'neurostimulation', 'are', 'derived', 'and', 'discussed', 'it', 'is', 'found', 'that', 'the', 'common', 'injectedcharge', 'model', 'is', 'less', 'realistic', 'than', 'a', 'model', 'in', 'which', 'a', 'latency', 'period', 'which', 'follows', 'after', 'a', 'short', 'electric', 'pulse', 'plays', 'a', 'role', 'as', 'important', 'as', 'the', 'electric', 'pulse', 'a', 'stimulation', 'signal', 'is', 'proposed', 'that', 'takes', 'advantage', 'of', 'these', 'findings', 'and', 'calls', 'for', 'experimental', 'testing']] | [-0.14415066587723424, 0.13786796846839247, -0.09520517859882752, 0.09920582269722993, -0.05623282547124096, -0.18813758595373298, 0.026226591028761667, 0.40083434840389454, -0.18013575996776096, -0.310843016998079, 0.08545011029097817, -0.20823899493171055, -0.18749462345950915, 0.28557642301178127, -0.04015276216153727, 0.0019475570498187034, 0.05221502214563308, 0.05521257891945663, 0.005319554106805657, -0.18424266280575854, 0.2017674656836774, 0.07785571325326064, 0.31046169741292956, 0.06153947277544219, 0.10543939259025406, 0.011550392390641033, 0.011374449866468881, 0.013232568095697731, -0.028531858030769623, 0.08753912992867045, 0.23602803041052778, 0.11976597151245738, 0.29900583023297006, -0.4655313456705848, -0.2688085922635481, 0.05803218482398107, 0.12176102557845536, 0.11753299796846925, -0.11238935963082754, -0.22736834765213434, 0.07807937402614072, -0.1670096483783888, -0.08167775705090312, -0.04530653641482846, 0.10049227733149758, 0.03357384576878251, -0.330917784656001, 0.06547795421993513, 0.1056951414564716, 0.039508079025955475, -0.07165584462450543, -0.11778110777005003, -0.0015919828924854272, 0.11392007468146134, 0.07429636933947684, 0.08320405932723499, 0.1518554354208659, -0.12125568355998544, -0.07222447254252239, 0.4088402899195913, -0.032951460415774146, -0.13111805584525965, 0.11458747699230787, -0.055232558567382274, -0.08829553208512361, 0.1046432848317457, 0.13226661909768572, 0.06936627467636203, -0.1577090966958003, -0.008334998730341063, -0.030592123977839947, 0.1849348399650733, 0.04508953785798589, 0.020627997846144143, 0.2210791011600465, 0.24469886091156084, 0.009655687366383241, 0.14239228085507868, -0.08998619401674779, -0.12083340584315726, -0.3019090024067364, -0.10957436306310482, -0.13888015619433317, 0.04194628140415813, -0.06804185291918254, -0.13114641273974395, 0.4555148011775779, 0.16739482069235356, 0.15149791121146963, 0.027826884192735202, 0.3308103567935893, 0.14831851055219647, 0.07163509884472272, 0.012161756816060573, 0.23546786984947862, 0.11635823459288136, 0.1034750764365079, -0.172086196516442, 0.12890491315514827, -0.006672699298312674] |
711.1939 | Hydrodynamical models of clumping beyond 50 stellar radii | We present one-dimensional, time-dependent models of the clumps generated by
the line-deshadowing instability. In order to follow the clumps out to
distances of more than 1000 stellar radii, we use an efficient moving-box
technique. We show that, within the approximations, the wind can remain clumped
well into the formation region of the radio continuum.
| astro-ph | we present onedimensional timedependent models of the clumps generated by the linedeshadowing instability in order to follow the clumps out to distances of more than 1000 stellar radii we use an efficient movingbox technique we show that within the approximations the wind can remain clumped well into the formation region of the radio continuum | [['we', 'present', 'onedimensional', 'timedependent', 'models', 'of', 'the', 'clumps', 'generated', 'by', 'the', 'linedeshadowing', 'instability', 'in', 'order', 'to', 'follow', 'the', 'clumps', 'out', 'to', 'distances', 'of', 'more', 'than', '1000', 'stellar', 'radii', 'we', 'use', 'an', 'efficient', 'movingbox', 'technique', 'we', 'show', 'that', 'within', 'the', 'approximations', 'the', 'wind', 'can', 'remain', 'clumped', 'well', 'into', 'the', 'formation', 'region', 'of', 'the', 'radio', 'continuum']] | [-0.08477857242171424, 0.11453175468547137, -0.05881975208110404, 0.11366766459255848, -0.03400000975519981, 0.003446487323293146, 0.024532893624262146, 0.45165936536384077, -0.217635336736182, -0.27832893953430204, 0.0496183309664528, -0.24045783938523732, -0.0696234964010007, 0.18514658588002314, 0.025369379554659937, -0.011780931579195103, 0.040438103067846794, -0.08838804684719949, -0.05886970070753036, -0.21204542647168603, 0.3231856254333595, 0.08104549097512269, 0.1468205228272193, 0.0009036099292197317, 0.03697095890441593, -0.11920106910907154, -0.025616516236145543, 0.014034403734049707, -0.1814832578481555, 0.11389098109079981, 0.1848731313748774, 0.1307789182185002, 0.2655880504973092, -0.4692822851170346, -0.2602049596607685, 0.04446175903683739, 0.2231181643130082, 0.11381530261791821, 0.0007781354512224185, -0.2599332735979192, 0.10339612258106189, -0.20805844829751635, -0.18739870073765796, -0.01739544115679444, -0.001670770452551122, 0.045684733375344636, -0.2510246355438007, 0.12489058384408225, 0.024145095075375208, 0.007580039917298083, -0.08826012081765341, -0.06883955274198977, -0.04153307415281405, 0.08817024947196808, 0.010653651477593297, 0.005695758325943969, 0.1651690080674049, -0.11649600446294502, -0.01993140810221996, 0.41694621112689656, -0.07741734859855398, -0.10454748575312067, 0.22987755896295156, -0.19025958730962197, -0.10866307911796952, 0.16446073729334013, 0.19869660087070376, 0.15734730223369486, -0.13166891711430168, -0.04756818141542234, -0.03360097263148933, 0.20318244395828103, 0.04472242246979391, -0.00018680491924004736, 0.29224620994953615, 0.1396877806774288, 0.06385201651532695, 0.1595184870134547, -0.17212167521060076, -0.10735128893745395, -0.2472552209741102, -0.06388854525350737, -0.11605390237714604, 0.05794733239091792, -0.10444810380280581, -0.13600998030940317, 0.3560955783809131, 0.19934253091484588, 0.2145557263866067, 0.06717074564921688, 0.30626540739124397, 0.12439305729777464, 0.12280591581684519, 0.18483147376550818, 0.27369595912091854, 0.14225572819013219, 0.04506432123148357, -0.20657335983519004, 0.025402323290143372, 0.04101161558602778] |
711.194 | The discrepancy of a needle on a checkerboard | Consider the plane as a checkerboard, with each unit square colored black or
white in an arbitrary manner. We show that for any such coloring there are
straight line segments, of arbitrarily large length, such that the difference
of their white length minus their black length, in absolute value, is at least
the square root of their length, up to a multiplicative constant. For the
corresponding ``finite'' problem ($N \times N$ checkerboard) we also prove that
we can color it in such a way that the above quantity is at most $C \sqrt{N
\log N}$, for any placement of the line segment.
| math.CA math.NT | consider the plane as a checkerboard with each unit square colored black or white in an arbitrary manner we show that for any such coloring there are straight line segments of arbitrarily large length such that the difference of their white length minus their black length in absolute value is at least the square root of their length up to a multiplicative constant for the corresponding finite problem n times n checkerboard we also prove that we can color it in such a way that the above quantity is at most c sqrtn log n for any placement of the line segment | [['consider', 'the', 'plane', 'as', 'a', 'checkerboard', 'with', 'each', 'unit', 'square', 'colored', 'black', 'or', 'white', 'in', 'an', 'arbitrary', 'manner', 'we', 'show', 'that', 'for', 'any', 'such', 'coloring', 'there', 'are', 'straight', 'line', 'segments', 'of', 'arbitrarily', 'large', 'length', 'such', 'that', 'the', 'difference', 'of', 'their', 'white', 'length', 'minus', 'their', 'black', 'length', 'in', 'absolute', 'value', 'is', 'at', 'least', 'the', 'square', 'root', 'of', 'their', 'length', 'up', 'to', 'a', 'multiplicative', 'constant', 'for', 'the', 'corresponding', 'finite', 'problem', 'n', 'times', 'n', 'checkerboard', 'we', 'also', 'prove', 'that', 'we', 'can', 'color', 'it', 'in', 'such', 'a', 'way', 'that', 'the', 'above', 'quantity', 'is', 'at', 'most', 'c', 'sqrtn', 'log', 'n', 'for', 'any', 'placement', 'of', 'the', 'line', 'segment']] | [-0.17783245073594883, 0.1724449610521654, 0.00414431307866585, 0.03503949627709374, -0.03178478586122248, -0.15309317823152477, 0.04928685235334378, 0.41790778032850984, -0.2805012308081667, -0.2862717726578315, 0.1060370182419908, -0.3424053810829041, -0.1033542872744375, 0.15334075224339305, -0.044586278380045447, 0.01854808921309407, 0.008431653907595604, 0.12774528070625749, -0.059830354426202235, -0.28779294857910526, 0.2687317345601817, -0.018582012102592225, 0.18793585031138113, 0.02672526132151046, 0.10746561036463462, 0.0271257491891875, 0.024265485092958745, 0.05469970955221238, -0.14775024199151826, 0.045185971324327494, 0.227376083902759, 0.08926279759308432, 0.23717074073832847, -0.3595037845639037, -0.16722078473471544, 0.17761711006545844, 0.16425079320940902, 0.09935221606500301, 0.004327454451270693, -0.15588833402623148, 0.18222979900618905, -0.10601304945599872, -0.16975762654671117, 0.0684178730692057, 0.11646517039294921, 0.029589850156494946, -0.23408849251584388, 0.023273360556820135, 0.09972067053119342, 0.033187111136594824, 0.021771018610189798, -0.1529984325170517, 0.010647705203725719, 0.13918945919859277, 0.012988857531180495, 0.08839915062793914, 0.06924981738477215, -0.11729162206585683, -0.10170865672476151, 0.3672621310334744, -0.0936418793839859, -0.21016143356659905, 0.10726563472588382, -0.14102861422625387, -0.08528131741446023, 0.14351145250211453, 0.1299703716957832, 0.1265354147363527, -0.059566267779754364, 0.09281641488219154, -0.10631004692564316, 0.2167513017524399, 0.13056579124931172, 0.029200068412476455, 0.23029371146477906, 0.10979532322608958, 0.14797520926952654, 0.12950915501763424, -0.10707645221412473, -0.05566891404234019, -0.35640801872838945, -0.16793273504385176, -0.21019102568742729, 0.10251297680295858, -0.18171144393957495, -0.23047446916062458, 0.30772259572119104, 0.10063876694652672, 0.2827645622960785, 0.10164241375876408, 0.26011614004770917, 0.1312104019726736, 0.08382756944275553, 0.12004339598192304, 0.11224008654700775, 0.0671815760570633, 0.01053478133718611, -0.21602788917245527, 0.028298003115125148, 0.10303775069997738] |
711.1941 | Nonlinear Schroedinger equations with radially symmetric data of
critical regularity | This paper is concerned with the global existence of small solutions to
pure-power nonlinear Schroedinger equations subject to radially symmetric data
with critical regularity. Under radial symmetry we focus our attention on the
case where the power of nonlinearity is somewhat smaller than the
pseudoconformal power and the initial data belong to the scale-invariant
homogeneous Sobolev space. In spite of the negative-order differentiability of
initial data the nonlinear Schroedinger equation has global in time solutions
provided that the initial data have the small norm. The key ingredient in the
proof of this result is an effective use of global weighted smoothing estimates
specific to radially symmetric solutions.
| math.AP | this paper is concerned with the global existence of small solutions to purepower nonlinear schroedinger equations subject to radially symmetric data with critical regularity under radial symmetry we focus our attention on the case where the power of nonlinearity is somewhat smaller than the pseudoconformal power and the initial data belong to the scaleinvariant homogeneous sobolev space in spite of the negativeorder differentiability of initial data the nonlinear schroedinger equation has global in time solutions provided that the initial data have the small norm the key ingredient in the proof of this result is an effective use of global weighted smoothing estimates specific to radially symmetric solutions | [['this', 'paper', 'is', 'concerned', 'with', 'the', 'global', 'existence', 'of', 'small', 'solutions', 'to', 'purepower', 'nonlinear', 'schroedinger', 'equations', 'subject', 'to', 'radially', 'symmetric', 'data', 'with', 'critical', 'regularity', 'under', 'radial', 'symmetry', 'we', 'focus', 'our', 'attention', 'on', 'the', 'case', 'where', 'the', 'power', 'of', 'nonlinearity', 'is', 'somewhat', 'smaller', 'than', 'the', 'pseudoconformal', 'power', 'and', 'the', 'initial', 'data', 'belong', 'to', 'the', 'scaleinvariant', 'homogeneous', 'sobolev', 'space', 'in', 'spite', 'of', 'the', 'negativeorder', 'differentiability', 'of', 'initial', 'data', 'the', 'nonlinear', 'schroedinger', 'equation', 'has', 'global', 'in', 'time', 'solutions', 'provided', 'that', 'the', 'initial', 'data', 'have', 'the', 'small', 'norm', 'the', 'key', 'ingredient', 'in', 'the', 'proof', 'of', 'this', 'result', 'is', 'an', 'effective', 'use', 'of', 'global', 'weighted', 'smoothing', 'estimates', 'specific', 'to', 'radially', 'symmetric', 'solutions']] | [-0.12141711361462547, 0.04276615499736954, -0.07162231772895424, 0.05847019630062141, -0.09861705274207988, -0.10324982183802629, -0.062113784383068506, 0.29978882571003423, -0.26005509149317985, -0.22113878870487352, 0.15435212119982936, -0.28522539616640763, -0.0766827738713299, 0.15708432389231763, -0.07129561724837556, 0.12046334922104796, 0.044448711857130035, 0.04680200617447078, -0.08192811276389408, -0.24869526490986904, 0.44058051418130084, 0.02365231325101351, 0.28718396418980346, -0.004965212281519181, 0.06704598417174872, -0.03726232132796094, -0.014535079570922338, -0.03748243367413677, -0.1905709333203338, 0.12225328664356302, 0.2025706619328915, 0.08865148079294329, 0.3231567479670048, -0.4345153340216831, -0.1957007016209781, 0.16798974614520776, 0.12206676856954103, 0.11766132384225308, -0.08034499506923048, -0.2862173026736617, 0.09419425423735771, -0.07780741269169288, -0.21558098660381597, -0.07050854625032396, 0.05190783857463676, 0.06565508001840839, -0.3001564677595814, 0.14058779058058607, 0.09441541168386135, 0.02662437470307765, -0.1649488320130263, -0.054272083543832894, -0.05643845236181308, 0.046957883896810985, 0.11197191609121929, 0.05612095105070099, 0.024715171505644846, -0.14202342331670573, -0.015737493011108206, 0.37260999039651077, -0.07503103939492678, -0.26315081398063733, 0.1373144721342512, -0.15453527377326495, -0.12124144630593674, 0.11590522192592655, 0.1913659407356841, 0.13215820812489662, -0.11442360469079185, 0.1282303324660121, -0.07992406822001195, 0.17396272088958073, 0.055317889829383834, 0.03700609991292112, 0.07899562753606414, 0.1560551805778572, 0.17643175223868376, 0.12231021327462709, -0.019546238557004728, -0.13699949351269927, -0.32623966778062774, -0.07660329046280549, -0.18993180137232085, 0.09488358029173077, -0.1372307714108306, -0.17269393863922386, 0.40409545645239614, 0.12296797515986004, 0.17569053447239588, 0.06461513362320087, 0.242857228996119, 0.16945800639658504, 0.05746085587975996, 0.09355625725203306, 0.24962657172163236, 0.12496690352873824, 0.1843112808321472, -0.19714033701587644, 0.03542824266217301, 0.08640526399608249] |
711.1942 | More constructing pairing-friendly elliptic curves for cryptography | The problem of constructing elliptic curves suitable for pairing applications
has received a lot of attention. To solve this, we propose a variant algorithm
of a known method by Brezing and Weng. We produce new families of parameters
using our algorithm for pairing-friendly elliptic curves of embedding degree 8,
and we actually compute some explicit curves as numerical examples.
| math.NT | the problem of constructing elliptic curves suitable for pairing applications has received a lot of attention to solve this we propose a variant algorithm of a known method by brezing and weng we produce new families of parameters using our algorithm for pairingfriendly elliptic curves of embedding degree 8 and we actually compute some explicit curves as numerical examples | [['the', 'problem', 'of', 'constructing', 'elliptic', 'curves', 'suitable', 'for', 'pairing', 'applications', 'has', 'received', 'a', 'lot', 'of', 'attention', 'to', 'solve', 'this', 'we', 'propose', 'a', 'variant', 'algorithm', 'of', 'a', 'known', 'method', 'by', 'brezing', 'and', 'weng', 'we', 'produce', 'new', 'families', 'of', 'parameters', 'using', 'our', 'algorithm', 'for', 'pairingfriendly', 'elliptic', 'curves', 'of', 'embedding', 'degree', '8', 'and', 'we', 'actually', 'compute', 'some', 'explicit', 'curves', 'as', 'numerical', 'examples']] | [-0.1294268486571723, -0.004655363760760118, -0.1282498019522634, 0.10106594698977303, -0.1388868072937275, -0.1761794548947364, 0.04659904085966791, 0.3924432408449979, -0.2627376025735304, -0.3406776782317922, 0.0966664249286184, -0.24606600542681228, -0.2170536677064053, 0.32891703809707845, -0.13465514247594723, 0.11033502832890071, 0.06505273339531288, 0.01062354299336158, -0.11117080468202717, -0.31495303146798037, 0.3425553295247514, -0.040030069713448656, 0.19798909503452736, 0.029228363049634058, 0.13920452791779978, 0.03895916780938619, -0.02282062895467569, -0.0024287539116781332, -0.1747458631509979, 0.21467473245314161, 0.25558572825734854, 0.13332966877276015, 0.24513297720715918, -0.33949193345575496, -0.24246066075083317, 0.1934323858425567, 0.1308201726461793, 0.15298646270971875, -0.1315160804139129, -0.19239177041012664, 0.10829096507473752, -0.18302858041841255, -0.1698334928650152, -0.15483214759974387, 0.03144046127121767, 0.05651210608153508, -0.2687009624285816, -0.009065249970921412, 0.05121590712525208, 0.09812395504258316, -0.02506458424513453, -0.12108435104440513, 0.04971921029259804, 0.04464867333720984, 0.027658631591575927, 0.018894050715908665, -0.009809610128788084, -0.09924366899589397, -0.13481863462847882, 0.3513260692807621, -0.024887266247693836, -0.19452426436453543, 0.09275391086101017, 0.0017458338948801674, -0.15661033923769818, 0.1468540465716144, 0.22983129099332567, 0.19586291324732633, -0.09861793552107852, 0.0924049628043451, -0.09617221809457988, 0.11048474881380539, 0.07968083928050153, -0.03192945107303817, 0.09254164890996341, 0.10746450593759274, 0.047805941631567886, 0.1920914369061236, -0.052495975256094646, -0.0591798683243065, -0.29755554590695377, -0.14997016584725473, -0.14301441387867492, 0.04453640228843894, -0.07599753369366477, -0.1623696408652026, 0.4686350008023196, 0.10127297734263642, 0.23535750542992148, 0.07258603517929542, 0.255631701354387, 0.09800309909844836, 0.03224323405422559, 0.09815905912747157, 0.14814442344228657, 0.1369179315455579, 0.056477070432798614, -0.1613777783651162, 0.0216343440667421, 0.1713938720460082] |
711.1943 | Remarks about Hardy inequalities on metric trees | We find sharp conditions on the growth of a rooted regular metric tree such
that the Neumann Laplacian on the tree satisfies a Hardy inequality. In
particular, we consider homogeneous metric trees. Moreover, we show that a
non-trivial Aharonov-Bohm magnetic field leads to a Hardy inequality on a loop
graph.
| math.SP math-ph math.MP | we find sharp conditions on the growth of a rooted regular metric tree such that the neumann laplacian on the tree satisfies a hardy inequality in particular we consider homogeneous metric trees moreover we show that a nontrivial aharonovbohm magnetic field leads to a hardy inequality on a loop graph | [['we', 'find', 'sharp', 'conditions', 'on', 'the', 'growth', 'of', 'a', 'rooted', 'regular', 'metric', 'tree', 'such', 'that', 'the', 'neumann', 'laplacian', 'on', 'the', 'tree', 'satisfies', 'a', 'hardy', 'inequality', 'in', 'particular', 'we', 'consider', 'homogeneous', 'metric', 'trees', 'moreover', 'we', 'show', 'that', 'a', 'nontrivial', 'aharonovbohm', 'magnetic', 'field', 'leads', 'to', 'a', 'hardy', 'inequality', 'on', 'a', 'loop', 'graph']] | [-0.209905859795399, 0.1370582289341837, -0.08136983301490545, 0.12457323838025332, -0.1302736052451655, -0.10845975565724075, 0.040674125228542836, 0.35984651997685435, -0.27556108951568603, -0.16255599662661552, 0.09505654724081979, -0.2741559088602662, -0.21934103593230247, 0.18308312356472015, -0.11040288434363901, 0.012440152652561664, 0.13143201440572738, 0.16325385808944703, -0.04718424554914236, -0.21152049581345636, 0.4489944097399712, -0.04348216036334634, 0.2442097306996584, 0.09873953577131032, 0.08164829816669225, -0.013251372640952467, 0.04045183998066932, 0.1059896444901824, -0.24940426892746473, 0.08702142541995272, 0.14269022366032005, 0.1168567196559161, 0.249176559522748, -0.4421561895310879, -0.19195657651871442, 0.1962949773389846, 0.07701071697287261, 0.022031808085739613, -0.0590125185973011, -0.2828667749650776, 0.04531105109024793, -0.07595959059894085, -0.09526896733790637, -0.036777925528585914, -0.025253158628474923, -0.048152483062585814, -0.3394741326617077, 0.08550341732800007, 0.11371082730591298, 0.013440942009910941, -0.10539277326315641, -0.05213908502366394, -0.0014856437593698502, 0.013868170697242022, -0.07749227236257866, 0.08877362350234762, 0.06870442445389927, -0.07649303908459842, -0.1701735414750874, 0.29215138763189313, -0.08623383512720466, -0.21610130239278078, 0.11968822475522757, -0.21452385870739818, -0.1845934683829546, -0.034480359740555286, 0.15034134492278098, 0.12202231988310813, -0.08926492117345333, 0.210028279684484, -0.12202009476721287, 0.10673803465440869, 0.1563365263491869, -0.0066351368278265, 0.06806869365274906, 0.09425800829660147, 0.2391197313927114, 0.2307019190490246, -0.021169264292693696, -0.08142611142247916, -0.315984469614923, -0.1990700250864029, -0.19432615969330072, 0.14661175696644932, -0.2400319368764758, -0.3436366530135274, 0.37048347882926463, 0.09635735210031271, 0.18277613853570074, 0.09493311278522015, 0.18386520508676768, 0.11484567390754818, 0.05912233674898744, 0.10000409983098507, 0.15361207872629165, 0.22142835650593043, 0.08075872438959777, -0.17711265086429193, 0.019442614172585308, 0.19197962073609232] |
711.1944 | LULU operators for functions of continuous argument | The LULU operators, well known in the nonlinear multiresolution analysis of
sequences, are extended to functions defined on a continuous domain, namely, a
real interval. We show that the extended operators replicate the essential
properties of their discrete counterparts. More precisely, they form a fully
ordered semi-group of four elements, preserve the local trend and the total
variation.
| math.CA math.GM | the lulu operators well known in the nonlinear multiresolution analysis of sequences are extended to functions defined on a continuous domain namely a real interval we show that the extended operators replicate the essential properties of their discrete counterparts more precisely they form a fully ordered semigroup of four elements preserve the local trend and the total variation | [['the', 'lulu', 'operators', 'well', 'known', 'in', 'the', 'nonlinear', 'multiresolution', 'analysis', 'of', 'sequences', 'are', 'extended', 'to', 'functions', 'defined', 'on', 'a', 'continuous', 'domain', 'namely', 'a', 'real', 'interval', 'we', 'show', 'that', 'the', 'extended', 'operators', 'replicate', 'the', 'essential', 'properties', 'of', 'their', 'discrete', 'counterparts', 'more', 'precisely', 'they', 'form', 'a', 'fully', 'ordered', 'semigroup', 'of', 'four', 'elements', 'preserve', 'the', 'local', 'trend', 'and', 'the', 'total', 'variation']] | [-0.1062899748052085, 0.08944607458623319, -0.08556370528069614, 0.16309074062356277, -0.056773657147804725, -0.039845003762507235, 0.012247608171711707, 0.40953419537379826, -0.3123563348861604, -0.22438361657911848, 0.16601016444900749, -0.29160073521579133, -0.18836666650042452, 0.16943783056922257, -0.019468023425674642, 0.07326536376735773, 0.012222047112400419, 0.04655978514748658, -0.11422118566858036, -0.21661014883811103, 0.3346723316494247, -0.03989425394684076, 0.24035067303941168, -0.03386383962913834, 0.08261141847369485, 0.002851976306530936, -0.10657042154945948, 0.03971484012837554, -0.06832734675707139, 0.15645777010198297, 0.21835499038470202, 0.09236345529267244, 0.23878735217169442, -0.41989191615119065, -0.2156998748782669, 0.1505491891574789, 0.1249293251051407, 0.01220295371503794, -0.0066983788005770825, -0.282103310740585, 0.09544382242140649, -0.1328782766720216, -0.1298677036699293, -0.08480297137003649, 0.022653484219235593, 0.07899103246645295, -0.27206402728012924, 0.06000809059960061, 0.11825088262437554, 0.06221202923113416, -0.09433032041576145, -0.0763898163487942, -0.0713855868229514, 0.14662582239393016, -0.05210574205707887, -0.005507497028608261, 0.10708133173817448, -0.05726276392695205, -0.12121364278397684, 0.3605498767714819, -0.06640769668116138, -0.23586101303728105, 0.19282463881797318, -0.17707600556354136, -0.1323546229717161, 0.09994525011982126, 0.14583709553397936, 0.1660455389205238, -0.132519182379775, 0.10435274529074126, -0.056242792987553726, 0.17933538321662565, 0.014637941879958942, 0.0849815704097072, 0.1334833420556167, 0.08771487742919347, 0.10882446275028432, 0.1377391575520521, 0.023991134525517578, -0.10713021425482143, -0.3127192746012889, -0.1330960469826221, -0.1371521493660864, 0.002932331679340709, -0.06702047441900379, -0.22156476259135224, 0.4413358975193816, 0.08137636185334675, 0.2088993493535813, 0.06832516623725152, 0.21461734032772226, 0.14833227993021236, 0.12003413538633172, 0.05366982797417661, 0.1378761230293533, 0.13803508964463554, 0.09697053336602604, -0.17833523970932283, 0.03274128345997426, 0.08109247275017972] |
711.1945 | Lateral electron tunneling through single self-assembled InAs quantum
dots coupled to superconducting nanogap electrodes | We have fabricated superconductor-quantum dot-superconductor (SC-QD-SC)
junctions by using SC aluminum electrodes with narrow gaps laterally contacting
a single self-assembled InAs QD. The fabricated junctions exhibited clear
Coulomb staircases and Coulomb oscillations at 40 mK. Furthermore, clear
suppression in conductance was observed for the source-drain voltage $|V_{\rm
SD}| < 2\Delta/e$, where $\Delta$ is the SC energy gap of Al. The absence of
Josephson current that flows through QDs is due to the strong Coulomb
interaction and non-negligible thermal fluctuation in our measurement system.
| cond-mat.mes-hall cond-mat.supr-con | we have fabricated superconductorquantum dotsuperconductor scqdsc junctions by using sc aluminum electrodes with narrow gaps laterally contacting a single selfassembled inas qd the fabricated junctions exhibited clear coulomb staircases and coulomb oscillations at 40 mk furthermore clear suppression in conductance was observed for the sourcedrain voltage v_rm sd 2deltae where delta is the sc energy gap of al the absence of josephson current that flows through qds is due to the strong coulomb interaction and nonnegligible thermal fluctuation in our measurement system | [['we', 'have', 'fabricated', 'superconductorquantum', 'dotsuperconductor', 'scqdsc', 'junctions', 'by', 'using', 'sc', 'aluminum', 'electrodes', 'with', 'narrow', 'gaps', 'laterally', 'contacting', 'a', 'single', 'selfassembled', 'inas', 'qd', 'the', 'fabricated', 'junctions', 'exhibited', 'clear', 'coulomb', 'staircases', 'and', 'coulomb', 'oscillations', 'at', '40', 'mk', 'furthermore', 'clear', 'suppression', 'in', 'conductance', 'was', 'observed', 'for', 'the', 'sourcedrain', 'voltage', 'v_rm', 'sd', '2deltae', 'where', 'delta', 'is', 'the', 'sc', 'energy', 'gap', 'of', 'al', 'the', 'absence', 'of', 'josephson', 'current', 'that', 'flows', 'through', 'qds', 'is', 'due', 'to', 'the', 'strong', 'coulomb', 'interaction', 'and', 'nonnegligible', 'thermal', 'fluctuation', 'in', 'our', 'measurement', 'system']] | [-0.22634014279465192, 0.1719482963453629, 0.011502968993590912, -0.004394708803738467, 0.054124371614307165, -0.28267795142746766, 0.0891589033883065, 0.4161589169758372, -0.218982183670596, -0.34253556397743523, -0.11301766405522358, -0.347211662819609, -0.07303837030631258, 0.19519434617832304, 0.02513563729589805, -0.005701746023260057, 0.041677405845621254, -0.14210495526494923, -0.09188764939026442, -0.13051182115450502, 0.2667167366176727, 0.04645066926605068, 0.3381049065152183, 0.1610314427758567, -0.006956005934625864, -0.04859203709347639, 0.15835076009389012, 0.080013798156142, -0.15794552475190357, -0.04198122292291373, 0.23191766312593246, -0.2143320934206713, 0.1975044122780673, -0.5107709790347144, -0.15781529278028755, 0.01514398671570234, 0.19160385155119003, 0.11961322864226531, -0.07943224393529817, -0.2873458999325521, 0.08504326926777139, -0.1308424121583812, -0.03611852070316672, 0.027281967422459273, 0.027777389928814955, 0.017924254084937273, -0.23370273790205828, 0.1308179881394608, 0.05926366616331506, 0.06942776821033476, 0.042760173621354626, -0.09937501487875125, -0.07181586221850011, 0.007875922375023946, -0.062330997025128454, 0.020044830604456366, 0.24288407189887948, -0.07124782737298574, -0.09234195248864126, 0.24298786387371366, -0.057233970236848106, -0.036283851409098136, 0.11572667523869314, -0.18650445386592765, 0.0369041254860349, 0.16741012822458287, 0.05621427100413712, 0.02306261696794536, -0.1727594788535498, 0.07653597020398592, 0.026635429356247187, 0.18493054416030646, 0.12242625528597273, 0.05768081257265294, 0.24994594623567537, 0.22958717469591647, 0.01193343376799021, 0.10904972796270158, -0.20799377818620995, -0.029508636423997814, -0.2301333910494577, -0.13886837728496176, -0.18112758155912162, 0.11128504818479996, -0.04539226543238328, -0.22316806353628635, 0.3899268729579489, 0.10472732751222794, 0.16577501616848167, -0.06434453708643559, 0.28715913881896993, 0.14110862974339397, 0.13174486477510072, 0.008088842767756432, 0.2778752414160408, 0.2362282978981966, 0.15182203808799385, -0.34706483728950843, 0.057445598125923425, -0.07024283709542942] |
711.1946 | Batalin-Vilkovisky algebra structures on Hochschild Cohomology | Let $M$ be any compact simply-connected $d$-dimensional smooth manifold and
let $\mathbb{F}$ be any field. We show that the Gerstenhaber algebra structure
on the Hochschild cohomology on the singular cochains of $M$,
$HH^*(S^*(M);S^*(M))$, extends to a Batalin-Vilkovisky algebra. Such
Batalin-Vilkovisky algebra was conjecturated to exist and is expected to be
isomorphic to the Batalin-Vilkovisky algebra on the free loop space homology on
$M$, $H_{*+d}(LM)$ introduced by Chas and Sullivan. We also show that the
negative cyclic cohomology $HC^*_-(S^*(M))$ has a Lie bracket. Such Lie bracket
is expected to coincide with the Chas-Sullivan string bracket on the
equivariant homology $H_*^{S^1}(LM)$.
| math.QA math.AT | let m be any compact simplyconnected ddimensional smooth manifold and let mathbbf be any field we show that the gerstenhaber algebra structure on the hochschild cohomology on the singular cochains of m hhsmsm extends to a batalinvilkovisky algebra such batalinvilkovisky algebra was conjecturated to exist and is expected to be isomorphic to the batalinvilkovisky algebra on the free loop space homology on m h_dlm introduced by chas and sullivan we also show that the negative cyclic cohomology hc_sm has a lie bracket such lie bracket is expected to coincide with the chassullivan string bracket on the equivariant homology h_s1lm | [['let', 'm', 'be', 'any', 'compact', 'simplyconnected', 'ddimensional', 'smooth', 'manifold', 'and', 'let', 'mathbbf', 'be', 'any', 'field', 'we', 'show', 'that', 'the', 'gerstenhaber', 'algebra', 'structure', 'on', 'the', 'hochschild', 'cohomology', 'on', 'the', 'singular', 'cochains', 'of', 'm', 'hhsmsm', 'extends', 'to', 'a', 'batalinvilkovisky', 'algebra', 'such', 'batalinvilkovisky', 'algebra', 'was', 'conjecturated', 'to', 'exist', 'and', 'is', 'expected', 'to', 'be', 'isomorphic', 'to', 'the', 'batalinvilkovisky', 'algebra', 'on', 'the', 'free', 'loop', 'space', 'homology', 'on', 'm', 'h_dlm', 'introduced', 'by', 'chas', 'and', 'sullivan', 'we', 'also', 'show', 'that', 'the', 'negative', 'cyclic', 'cohomology', 'hc_sm', 'has', 'a', 'lie', 'bracket', 'such', 'lie', 'bracket', 'is', 'expected', 'to', 'coincide', 'with', 'the', 'chassullivan', 'string', 'bracket', 'on', 'the', 'equivariant', 'homology', 'h_s1lm']] | [-0.24517219462677053, 0.07259208151188336, -0.10383124465711023, 0.07864606016817943, -0.2181325761503295, -0.1357912069382636, -0.09726524370673456, 0.3659287205309068, -0.37451470584461566, -0.21235573298640942, 0.11250999631654275, -0.1670683919109012, -0.1934204169401997, 0.15201507794278624, -0.24322510709691988, -0.11857168150967673, 0.082608477320326, 0.19316133122008883, -0.11858039205207636, -0.2623651829716676, 0.47083267793059347, 0.02520219087600708, 0.15673930819489454, 0.019427416865762912, 0.1344149741442188, -0.011564417742192745, 0.006038760658549635, -0.023512928472451965, -0.18975993338711927, 0.08221629111856026, 0.3146705191288339, -0.012213715807975907, 0.10577520785338589, -0.39033066920543974, -0.10528849359895838, 0.19470870483078453, 0.13412995628130278, -0.05426764701934237, 0.03557053457234839, -0.30804777161071173, 0.154686501200654, -0.20155542998231554, -0.09245138247252295, -0.08960536823264863, 0.10263820790171035, -0.06174920634611657, -0.193536499670192, -0.05623688987045745, 0.043757874273548, 0.11464343527822118, -0.096487390166026, -0.07337143951536794, -0.15669183419331123, 0.045885448902845384, -0.12306846577772185, 0.18071447512821148, 0.17796530660830046, 0.019737603103643968, -0.1957344487162405, 0.37929556672951503, -0.08714557712603556, -0.27571332153226985, 0.06318657496257832, -0.2217867452185601, -0.2354224848610006, 0.10951787511278924, -0.03612403427495768, 0.1508522229563249, 0.048073765262348675, 0.32043105900888086, -0.09363225819052834, 0.021089975633903555, 0.08509351225863947, -0.07032088591276031, 0.143991417467202, 0.06594168666358056, 0.10169242568510144, 0.06660300541399537, 0.04842319144671293, -0.06976312519982457, -0.3399352485804181, -0.23852932940384275, -0.11586625531904007, 0.2543044049611413, -0.15677561323651676, -0.17747420943097064, 0.3640014050920543, 0.10004319867217228, 0.14640514763856405, 0.1630421468448874, 0.21230907171817595, 0.07886015610818407, 0.15260638120143036, 0.08891506047037087, 0.05521275354059119, 0.3110697460973537, -0.017688453290611507, -0.14391249604216827, -0.09234435880360635, 0.2942377757820252] |
711.1947 | Pre-asymptotic corrections to fractional diffusion equations | The motion of contaminant particles through complex environments such as
fractured rocks or porous sediments is often characterized by anomalous
diffusion: the spread of the transported quantity is found to grow sublinearly
in time due to the presence of obstacles which hinder particle migration. The
asymptotic behavior of these systems is usually well described by fractional
diffusion, which provides an elegant and unified framework for modeling
anomalous transport. We show that pre-asymptotic corrections to fractional
diffusion might become relevant, depending on the microscopic dynamics of the
particles. To incorporate these effects, we derive a modified transport
equation and validate its effectiveness by a Monte Carlo simulation.
| cond-mat.stat-mech | the motion of contaminant particles through complex environments such as fractured rocks or porous sediments is often characterized by anomalous diffusion the spread of the transported quantity is found to grow sublinearly in time due to the presence of obstacles which hinder particle migration the asymptotic behavior of these systems is usually well described by fractional diffusion which provides an elegant and unified framework for modeling anomalous transport we show that preasymptotic corrections to fractional diffusion might become relevant depending on the microscopic dynamics of the particles to incorporate these effects we derive a modified transport equation and validate its effectiveness by a monte carlo simulation | [['the', 'motion', 'of', 'contaminant', 'particles', 'through', 'complex', 'environments', 'such', 'as', 'fractured', 'rocks', 'or', 'porous', 'sediments', 'is', 'often', 'characterized', 'by', 'anomalous', 'diffusion', 'the', 'spread', 'of', 'the', 'transported', 'quantity', 'is', 'found', 'to', 'grow', 'sublinearly', 'in', 'time', 'due', 'to', 'the', 'presence', 'of', 'obstacles', 'which', 'hinder', 'particle', 'migration', 'the', 'asymptotic', 'behavior', 'of', 'these', 'systems', 'is', 'usually', 'well', 'described', 'by', 'fractional', 'diffusion', 'which', 'provides', 'an', 'elegant', 'and', 'unified', 'framework', 'for', 'modeling', 'anomalous', 'transport', 'we', 'show', 'that', 'preasymptotic', 'corrections', 'to', 'fractional', 'diffusion', 'might', 'become', 'relevant', 'depending', 'on', 'the', 'microscopic', 'dynamics', 'of', 'the', 'particles', 'to', 'incorporate', 'these', 'effects', 'we', 'derive', 'a', 'modified', 'transport', 'equation', 'and', 'validate', 'its', 'effectiveness', 'by', 'a', 'monte', 'carlo', 'simulation']] | [-0.08698639920297659, 0.1759289666662434, -0.09673362675799443, 0.08158655959414318, -0.059742187290399706, -0.09511403037006703, -0.021707262859222882, 0.31338111536120467, -0.3257161389293922, -0.3244627474649054, 0.10925618030530629, -0.2864906036312569, -0.16831079020630568, 0.17281370802523288, -0.025317148529520293, 0.062297578153688075, 0.025645127614415338, -0.0525905202529481, 0.018709669526631258, -0.1856926900009572, 0.26742886702688234, 0.08049728102484534, 0.24141239436598108, 0.07757450336643126, 0.13165788866474099, -0.023049062192615755, -0.053181773113121965, 0.057558626709681635, -0.15417209606792587, 0.07901342306286097, 0.18913767572035486, -0.005082462918681075, 0.233573056458724, -0.4891692519996245, -0.3028240089462894, 0.06174157399086738, 0.22821775942443395, 0.09654515250454182, -0.07454924432248897, -0.2906267127145152, 0.016241539621128225, -0.15215583068301092, -0.17983553016927303, -0.09714419316535569, 0.0280328199074094, 0.042171037859142814, -0.2736588492023073, 0.1523296104058764, 0.04393648857114626, 0.01112102857738171, -0.040644448699719574, -0.11656432348865804, -0.02336414495509399, 0.13163492494078247, 0.07898375613478732, -0.06905813396794123, 0.2140006938914083, -0.1338566062743512, -0.09324729511567023, 0.41745111887466235, -0.05619981356474729, -0.25785320102817044, 0.23585243709385395, -0.13893723643806605, -0.062340531959462, 0.17972629893579925, 0.22174137366830177, 0.1364418721872048, -0.21070395254986887, 0.03884372846032592, 0.01179554767221353, 0.10837893229513869, -0.0007267007692101992, 0.012607701750964208, 0.1920609850840608, 0.22666550308184805, 0.03347351745579322, 0.12195952419457377, -0.09077375620287263, -0.16739892583551272, -0.25407369036824917, -0.1850816179725851, -0.18372987146173023, 0.074924918234278, -0.10889432586719643, -0.19833705080497377, 0.2994718335059313, 0.1941751953530705, 0.15895876144322585, 0.02037141447500238, 0.25500119286413603, 0.13939646498040947, 0.04275756811652825, 0.08367876865778048, 0.2043869449792184, 0.10109518691326298, 0.12312341603573482, -0.28001397743520223, 0.14812674891546299, 0.0438426665188569] |
711.1948 | Addendum to ``Canonical bases for quantum generalized Kac-Moody
algebras'' | We provide some necessary details to several arguments appearing in our
previous paper ``Canonical bases for quantum generalized Kac-Moody algebras''.
We also make the link with some other work on the same subject.
| math.QA | we provide some necessary details to several arguments appearing in our previous paper canonical bases for quantum generalized kacmoody algebras we also make the link with some other work on the same subject | [['we', 'provide', 'some', 'necessary', 'details', 'to', 'several', 'arguments', 'appearing', 'in', 'our', 'previous', 'paper', 'canonical', 'bases', 'for', 'quantum', 'generalized', 'kacmoody', 'algebras', 'we', 'also', 'make', 'the', 'link', 'with', 'some', 'other', 'work', 'on', 'the', 'same', 'subject']] | [-0.11423636837439104, 0.04465166338239655, -0.07573516235094178, 0.07477406903424046, -0.17169493631544439, -0.1315178797266333, 0.02579058753679309, 0.3946441264653748, -0.2551135182465342, -0.22855830198210297, 0.1155754105209119, -0.21863237054397663, -0.2317440736700188, 0.22617055350124385, -0.13994666042201448, 0.049844171005216514, 0.04556425374396371, 0.10876755957636333, -0.11961096921709902, -0.36028816725945834, 0.4062200625511733, 0.050964241762730206, 0.23479099340285314, 0.07743074821138923, 0.021849515692641337, -0.0011341473031224627, -0.08215568017101649, -0.020796798959825977, -0.24167126476426015, 0.15461601627369723, 0.27631610586787714, 0.08326750557700341, 0.23300914921106375, -0.4930764942458182, -0.1493641317568042, 0.1224825598130172, 0.12931323587668664, 0.13868955996903506, -0.06347918777486705, -0.20912573876028712, 0.048332975196182924, -0.2177106621251865, -0.13290801954766115, -0.11412973710420457, -0.057305156916492815, 0.007073243690876662, -0.17942537406854558, 0.02343790294429654, 0.12199239252191602, 0.09419572319496762, -0.08137153796534138, -0.17023785434889072, 0.06461752297102728, 0.12392417313248823, -0.012216199274090204, -0.002215467400453759, 0.05598419645067417, -0.0641916821513212, -0.18093568092268525, 0.352404596792026, 0.03405332062957865, -0.2791827441842267, 0.21920209648934277, -0.1339181178164753, -0.27937395520734065, -0.010979697549235865, 0.04673809682329496, 0.08076816403561017, -0.12384781388170792, 0.06771315758426984, -0.0907731672861811, 0.05039937863352172, 0.07791593181195133, 0.114335863794567, 0.13154701183013845, 0.04938097521098274, 0.03863539484639963, 0.14539347580725778, 0.02252620165800732, -0.1193700282636917, -0.3991292107172988, -0.16767620904879135, -0.0795156748852495, 0.0797138144826573, -0.05416031979080854, -0.13424127987959902, 0.4221028606266235, 0.24191381124723138, 0.21236624309059346, 0.113264041360129, 0.24287139443737088, 0.04916746425089624, 0.04378818887088335, 0.023674155303248852, 0.18802397529714543, 0.18781655603511768, 0.08086088064098448, -0.12150629152628509, -0.015161295506087217, 0.10705297911596118] |
711.1949 | Structure Function Moments of Proton and Neutron | QCD-inspired phenomenological analysis of experimental moments of proton and
deuteron structure functions F2 have been presented. The obtained results on
the d/u ratio at large-x, isospin dependence of higher twists and comparison
with Lattice QCD calculations were discussed. We remind shortly these results:
the obtained ratio is consistent with the asymptotic limit d/u-->0 at x-->1,
the total contribution of higher twists is found to be isospin independent and
the non-singlet moments are in excellent agreement with the Lattice data. We
present here some details of the analysis triggered by the public discussion.
| hep-ph | qcdinspired phenomenological analysis of experimental moments of proton and deuteron structure functions f2 have been presented the obtained results on the du ratio at largex isospin dependence of higher twists and comparison with lattice qcd calculations were discussed we remind shortly these results the obtained ratio is consistent with the asymptotic limit du0 at x1 the total contribution of higher twists is found to be isospin independent and the nonsinglet moments are in excellent agreement with the lattice data we present here some details of the analysis triggered by the public discussion | [['qcdinspired', 'phenomenological', 'analysis', 'of', 'experimental', 'moments', 'of', 'proton', 'and', 'deuteron', 'structure', 'functions', 'f2', 'have', 'been', 'presented', 'the', 'obtained', 'results', 'on', 'the', 'du', 'ratio', 'at', 'largex', 'isospin', 'dependence', 'of', 'higher', 'twists', 'and', 'comparison', 'with', 'lattice', 'qcd', 'calculations', 'were', 'discussed', 'we', 'remind', 'shortly', 'these', 'results', 'the', 'obtained', 'ratio', 'is', 'consistent', 'with', 'the', 'asymptotic', 'limit', 'du0', 'at', 'x1', 'the', 'total', 'contribution', 'of', 'higher', 'twists', 'is', 'found', 'to', 'be', 'isospin', 'independent', 'and', 'the', 'nonsinglet', 'moments', 'are', 'in', 'excellent', 'agreement', 'with', 'the', 'lattice', 'data', 'we', 'present', 'here', 'some', 'details', 'of', 'the', 'analysis', 'triggered', 'by', 'the', 'public', 'discussion']] | [-0.10344105819746366, 0.12344849707923182, -0.09097652635334627, 0.10353491470754228, -0.03685547968210733, -0.06434695505025878, 0.028672495864473447, 0.3775262767853944, -0.12986457847063834, -0.26264714210739604, 0.07911318896272544, -0.3451417474501321, -0.05166308546398321, 0.14972970185993725, 0.05950718419626355, 0.05846581198578781, 0.06731091542979298, 0.009100121005600236, -0.10562179509914764, -0.26219402831402083, 0.31909784032841737, 0.09234287469956579, 0.2626417635474354, 0.13997976396501105, 0.03813263105921973, 0.0072447325225727145, -0.08951479138340801, -0.02720325351085352, -0.19697947570492272, 0.093798674683532, 0.21271379914580155, -0.004120775816772948, 0.0951128113108849, -0.4157868424916397, -0.1212062976302822, 0.03405007490199869, 0.10955131117193757, 0.09521233248676214, -0.043314079198551, -0.26970202194364823, 0.09677114190518572, -0.19368049698760328, -0.18022640326197018, -0.1479076386085185, -0.011320453425666885, 0.0673409760799448, -0.276540109308806, 0.0918378882779507, -0.022580114400783634, 0.1041831847743869, -0.0683527391899944, -0.29320571855034516, -0.05054276012410612, 0.060080995444086904, 0.13413256836508441, 0.08779906034570835, 0.10531950099823956, -0.12162507509271128, -0.10755157223194027, 0.35942327957499126, -0.055730587316919926, -0.13809835024522213, 0.11780126644399665, -0.22916691175803705, -0.18980326055569333, 0.11759998675678736, 0.10731909817854024, 0.06895547620850899, -0.13481255708851994, 0.07532006294944871, -0.04700742460250774, 0.14713329064619282, 0.07345580278754073, 0.04518195379292276, 0.15943777935741388, 0.14658472835815148, -0.06853341709812293, 0.11325393464674403, -0.07346355664270485, -0.12549579405711722, -0.3627011203004614, -0.05346278270514196, -0.12913184464939506, 0.04482839829743961, -0.11531170963201515, -0.0429158052182807, 0.3513198626612354, 0.09365027430264847, 0.20759537451617097, 0.029246184023340113, 0.2592328673471575, 0.14184285081738263, 0.0539143841015175, 0.03326453571713975, 0.26383389910820965, 0.17736894552818622, 0.12567284180904212, -0.2690918829302182, 0.04721130887755071, 0.06566098877785566] |
711.195 | Time drift of cosmological redshifts and its variance | The contribution of cosmological perturbations to the time drift of the
cosmological redshift is derived. It is shown that the dominant correction
arises from the local acceleration of both the emitter and the observer. The
amplitude of this effect is estimated to be of the order of 1% of the drift
signal at z=2-4, but can easily be lowered down to 0.1% by using many
absorption lines and quasars.
| astro-ph | the contribution of cosmological perturbations to the time drift of the cosmological redshift is derived it is shown that the dominant correction arises from the local acceleration of both the emitter and the observer the amplitude of this effect is estimated to be of the order of 1 of the drift signal at z24 but can easily be lowered down to 01 by using many absorption lines and quasars | [['the', 'contribution', 'of', 'cosmological', 'perturbations', 'to', 'the', 'time', 'drift', 'of', 'the', 'cosmological', 'redshift', 'is', 'derived', 'it', 'is', 'shown', 'that', 'the', 'dominant', 'correction', 'arises', 'from', 'the', 'local', 'acceleration', 'of', 'both', 'the', 'emitter', 'and', 'the', 'observer', 'the', 'amplitude', 'of', 'this', 'effect', 'is', 'estimated', 'to', 'be', 'of', 'the', 'order', 'of', '1', 'of', 'the', 'drift', 'signal', 'at', 'z24', 'but', 'can', 'easily', 'be', 'lowered', 'down', 'to', '01', 'by', 'using', 'many', 'absorption', 'lines', 'and', 'quasars']] | [-0.09157497269283656, 0.11936457957262578, -0.07821691235311437, 0.06582782484010617, -0.06055287927713083, -0.09308205086036005, -0.005805069965350887, 0.3695149893561999, -0.29463256906340085, -0.3143140211755383, 0.12216804298045843, -0.2767782087127368, -0.034654889471720955, 0.19076807258407708, 0.010385818239571392, -0.015193722312055204, -0.03917535055307266, 0.0019351721781751385, -0.0061239526365407864, -0.24477173801025617, 0.313497319156169, 0.13094277180515337, 0.20512604027770567, 0.011337682247107876, 0.12159006911046479, -0.09315231072621932, -0.049392276355807764, 0.06287428982339907, -0.08763119737346457, 0.046598504405414715, 0.21674661727455966, 0.10958438182411634, 0.23874232073759902, -0.3214578106729449, -0.2227740401159162, 0.10202814525236255, 0.16843527079006468, 0.17592269724801832, -0.017989306525070813, -0.29173207959916064, 0.08232002587907988, -0.12787708542917087, -0.12641770288051254, 0.04155336449975553, 0.018538401799573414, 0.012257415943009697, -0.2577290108724349, 0.1358809511318965, 0.055677776467864926, -0.015495402171559956, -0.04082966694081931, -0.07260824471334185, -0.05048371690149973, 0.12662260600811112, 0.10411296157584782, 0.07601723785552641, 0.18718016101722268, -0.12987240333366545, -0.045578833183516625, 0.4325539320707321, -0.10842139737518586, -0.1257328342653109, 0.14791832965177795, -0.22222552906748824, -0.06757248790961677, 0.2116077282546979, 0.14545245006456095, 0.08138256574022597, -0.14031128836390766, 0.0783434312873304, 0.0709973162687991, 0.2059560448093259, 0.04705037822460999, 0.02207078003540527, 0.22789140976965427, 0.09338532959151527, 0.06168396122993199, 0.08432583636486148, -0.16544422264332356, -0.000271836970595346, -0.31058388106201007, -0.12033536630696144, -0.19106671022440214, 0.08134941825899633, -0.13353355401625816, -0.12096549242024607, 0.38618869787972904, 0.1925472054441554, 0.2053598938509822, 0.056334592813652926, 0.29867836757414584, 0.20541636371711755, 0.09455336624270548, 0.048495820075597454, 0.3348105629784581, 0.12676141304773805, 0.07716048763983924, -0.25352806406622025, 0.08532617262740066, -0.013580535228053728] |
711.1951 | Cohomology algebra of plane curves, weak combinatorial type, and
formality | We determine an explicit presentation by generators and relations of the
cohomology algebra $H^*(\mathbb P^2\setminus C,\mathbb C)$ of the complement to
an algebraic curve $C$ in the complex projective plane $\mathbb P^2$, via the
study of log-resolution logarithmic forms on $\mathbb P^2$. As a first
consequence, we derive that $H^*(\mathbb P^2\setminus C,\mathbb C)$ depends
only on the following finite pieces of data: the number of irreducible
components of $C$ together with their degrees and genera, the number of local
branches of each component at each singular point, and the intersection numbers
of every two distinct local branches at each singular point of $C$. This finite
set of data is referred to as the weak combinatorial type of $C$. A further
corollary is that the twisted cohomology jumping loci of $H^*(\mathbb
P^2\setminus C,\mathbb C)$ containing the trivial character also depend on the
weak combinatorial type of $C$. Finally, the explicit construction of the
generators and relations allows us to prove that complements of plane
projective curves are formal spaces in the sense of Sullivan.
| math.AG math.DG | we determine an explicit presentation by generators and relations of the cohomology algebra hmathbb p2setminus cmathbb c of the complement to an algebraic curve c in the complex projective plane mathbb p2 via the study of logresolution logarithmic forms on mathbb p2 as a first consequence we derive that hmathbb p2setminus cmathbb c depends only on the following finite pieces of data the number of irreducible components of c together with their degrees and genera the number of local branches of each component at each singular point and the intersection numbers of every two distinct local branches at each singular point of c this finite set of data is referred to as the weak combinatorial type of c a further corollary is that the twisted cohomology jumping loci of hmathbb p2setminus cmathbb c containing the trivial character also depend on the weak combinatorial type of c finally the explicit construction of the generators and relations allows us to prove that complements of plane projective curves are formal spaces in the sense of sullivan | [['we', 'determine', 'an', 'explicit', 'presentation', 'by', 'generators', 'and', 'relations', 'of', 'the', 'cohomology', 'algebra', 'hmathbb', 'p2setminus', 'cmathbb', 'c', 'of', 'the', 'complement', 'to', 'an', 'algebraic', 'curve', 'c', 'in', 'the', 'complex', 'projective', 'plane', 'mathbb', 'p2', 'via', 'the', 'study', 'of', 'logresolution', 'logarithmic', 'forms', 'on', 'mathbb', 'p2', 'as', 'a', 'first', 'consequence', 'we', 'derive', 'that', 'hmathbb', 'p2setminus', 'cmathbb', 'c', 'depends', 'only', 'on', 'the', 'following', 'finite', 'pieces', 'of', 'data', 'the', 'number', 'of', 'irreducible', 'components', 'of', 'c', 'together', 'with', 'their', 'degrees', 'and', 'genera', 'the', 'number', 'of', 'local', 'branches', 'of', 'each', 'component', 'at', 'each', 'singular', 'point', 'and', 'the', 'intersection', 'numbers', 'of', 'every', 'two', 'distinct', 'local', 'branches', 'at', 'each', 'singular', 'point', 'of', 'c', 'this', 'finite', 'set', 'of', 'data', 'is', 'referred', 'to', 'as', 'the', 'weak', 'combinatorial', 'type', 'of', 'c', 'a', 'further', 'corollary', 'is', 'that', 'the', 'twisted', 'cohomology', 'jumping', 'loci', 'of', 'hmathbb', 'p2setminus', 'cmathbb', 'c', 'containing', 'the', 'trivial', 'character', 'also', 'depend', 'on', 'the', 'weak', 'combinatorial', 'type', 'of', 'c', 'finally', 'the', 'explicit', 'construction', 'of', 'the', 'generators', 'and', 'relations', 'allows', 'us', 'to', 'prove', 'that', 'complements', 'of', 'plane', 'projective', 'curves', 'are', 'formal', 'spaces', 'in', 'the', 'sense', 'of', 'sullivan']] | [-0.2224335181984426, 0.04727076082857126, -0.06888398996990368, 0.014231009043435529, -0.10689632793366263, -0.13775002277009404, 0.031899276120363425, 0.290811155206723, -0.3327459184792044, -0.17625166639427228, 0.09387549329979744, -0.27563661131935496, -0.10530202155878951, 0.21638725824099617, -0.09495671548493034, -0.04021099301302709, 0.013184259188054614, 0.10249709636188312, -0.08242290503151292, -0.28088733181929365, 0.40383883952190075, -0.07625674815966904, 0.20250746725137866, 0.034527980357763825, 0.10936544275024335, 0.03287825329670672, -0.01874652385141033, -0.03176594279017407, -0.1849328788969988, 0.13060039627726452, 0.26102958010197375, 0.0974444671617444, 0.1686135768524312, -0.36968211013728863, -0.09284175583413759, 0.186417803566666, 0.15198566575367758, 0.009003762730445734, 0.04271297758469369, -0.2150249994236093, 0.10893219914771832, -0.13324483936636392, -0.18145433172174444, -0.044244943692677285, 0.1060007676223799, 0.08066921449007973, -0.2218399573106728, -0.022679112688941086, 0.09461222048525865, 0.16426969427249336, -0.02570177071271572, -0.12461876811397751, -0.13174953263702485, 0.10437624463327014, -0.010338084788379297, 0.07154956246952317, 0.08281963885421299, -0.07901763543890347, -0.10532732723574181, 0.36087128721619016, -0.04975369365009711, -0.19448419140565687, 0.16590795620489932, -0.15255367660452882, -0.18734257553321865, 0.1319039598284989, 0.09357162513985498, 0.1514059488952289, -0.002955143076146958, 0.21484118449700879, -0.10463620629699934, 0.08288815703594282, 0.08840476096247059, -0.013410586387328158, 0.1259693010344111, 0.03632953320764479, 0.06754180418176549, 0.12149110562477605, -0.018652091250954076, -0.02378736060170586, -0.4132773096247905, -0.22142149001845116, -0.12684589609196895, 0.11054415704757836, -0.14108921206021963, -0.19723349919467303, 0.40105244510327975, 0.03025247900601412, 0.2415944936744481, 0.08426219967834522, 0.21586238909943428, 0.06104051810361222, 0.03260963003021918, 0.062104673167916735, 0.11391847353493202, 0.1745291646163523, -0.0176906117394222, -0.18222036257095506, 0.006804704600864364, 0.2050787883425788] |
711.1952 | Study of the Quasi-isotropic Solution near the Cosmological Singularity
in Presence of Bulk-Viscosity | We analyze the dynamical behavior of a quasi-isotropic Universe in the
presence of a cosmological fluid endowed with bulk viscosity. We express the
viscosity coefficient as a power-law of the fluid energy density:
$\zeta=\zeta_0\epsilon^{s}$. Then we fix $s=1/2$ as the only case in which
viscosity plays a significant role in the singularity physics but does not
dominate the Universe dynamics (as requested by its microscopic perturbative
origin). The parameter $\zeta_0$ is left free to define the intensity of the
viscous effects.
Following the spirit of the work by E.M. Lifshitz and I.M. Khalatnikov on the
quasi-isotropic solution, we analyze both Einstein and hydrodynamic equations
up to first and second order in time. As a result, we get a power-law solution
existing only in correspondence to a restricted domain of $\zeta_0$.
| gr-qc astro-ph | we analyze the dynamical behavior of a quasiisotropic universe in the presence of a cosmological fluid endowed with bulk viscosity we express the viscosity coefficient as a powerlaw of the fluid energy density zetazeta_0epsilons then we fix s12 as the only case in which viscosity plays a significant role in the singularity physics but does not dominate the universe dynamics as requested by its microscopic perturbative origin the parameter zeta_0 is left free to define the intensity of the viscous effects following the spirit of the work by em lifshitz and im khalatnikov on the quasiisotropic solution we analyze both einstein and hydrodynamic equations up to first and second order in time as a result we get a powerlaw solution existing only in correspondence to a restricted domain of zeta_0 | [['we', 'analyze', 'the', 'dynamical', 'behavior', 'of', 'a', 'quasiisotropic', 'universe', 'in', 'the', 'presence', 'of', 'a', 'cosmological', 'fluid', 'endowed', 'with', 'bulk', 'viscosity', 'we', 'express', 'the', 'viscosity', 'coefficient', 'as', 'a', 'powerlaw', 'of', 'the', 'fluid', 'energy', 'density', 'zetazeta_0epsilons', 'then', 'we', 'fix', 's12', 'as', 'the', 'only', 'case', 'in', 'which', 'viscosity', 'plays', 'a', 'significant', 'role', 'in', 'the', 'singularity', 'physics', 'but', 'does', 'not', 'dominate', 'the', 'universe', 'dynamics', 'as', 'requested', 'by', 'its', 'microscopic', 'perturbative', 'origin', 'the', 'parameter', 'zeta_0', 'is', 'left', 'free', 'to', 'define', 'the', 'intensity', 'of', 'the', 'viscous', 'effects', 'following', 'the', 'spirit', 'of', 'the', 'work', 'by', 'em', 'lifshitz', 'and', 'im', 'khalatnikov', 'on', 'the', 'quasiisotropic', 'solution', 'we', 'analyze', 'both', 'einstein', 'and', 'hydrodynamic', 'equations', 'up', 'to', 'first', 'and', 'second', 'order', 'in', 'time', 'as', 'a', 'result', 'we', 'get', 'a', 'powerlaw', 'solution', 'existing', 'only', 'in', 'correspondence', 'to', 'a', 'restricted', 'domain', 'of', 'zeta_0']] | [-0.15041473285338386, 0.09862374914304693, -0.12248657450671921, 0.05448509519288042, -0.09186933473719991, -0.11166097413001279, 0.004670377596924009, 0.27062997103546016, -0.2651606103975701, -0.2668289065635366, 0.07289845014059584, -0.27732485218709985, -0.10256693647387474, 0.11570084234338629, -0.0024380933767718864, 0.01803758324172651, -0.04376571485411751, 0.0519756576364008, -0.06228423296372847, -0.1899892270146299, 0.34181150299128754, 0.07157991594064606, 0.21298566696147414, 0.05572107772147933, 0.0929926879227508, -0.026409947714053614, -0.013806556665533504, 0.08411454767450806, -0.21879164310706448, 0.008640211620620748, 0.20966543055810902, 0.03100718605844665, 0.2591445031323174, -0.4292626610069081, -0.23347647965329793, 0.09581631831752584, 0.15679419966226862, 0.10220951498070978, -0.02241581958328742, -0.22150415224528533, 0.05001159327090249, -0.1922720829674671, -0.15995939184330374, -0.06192221394703947, 0.027386126590372865, -0.00894112745841402, -0.23068067070833126, 0.1731272702386906, 0.07812139842827992, -0.012726930136135382, -0.11617742135467427, -0.03153133298299283, -0.02230786805062793, 0.09392030285526962, 0.11380181779774527, 0.05556597522921976, 0.1219560569152236, -0.19305530335941865, -0.055966619644025266, 0.4178895305683331, -0.1287576512671834, -0.19938100494133928, 0.17470407578372216, -0.18847085368032604, -0.09391357526616302, 0.08761814498349793, 0.14237857082779268, 0.12742587574577147, -0.11949305653990816, 0.14492762191157946, -0.02427095731868329, 0.15914085803394631, 0.07207284142378746, 0.003855709509938493, 0.196633987336748, 0.13152555823542697, 0.013725481240634713, 0.10844406458484225, -0.05144763587039531, -0.10912272460441026, -0.3439879594154136, -0.1873407265344678, -0.1938749246963466, 0.10549823267129521, -0.13060299917487445, -0.19578533643196055, 0.3807691199192416, 0.13329423215355754, 0.20515492341531685, 0.03852665334914688, 0.24407027583648702, 0.1054727334796285, -0.001471748221810012, 0.08892551522572027, 0.2707828135850529, 0.1156593014616086, 0.15705679138660317, -0.2562350190171066, 0.04061952799508103, 0.10856745379991367] |
711.1953 | Optimal Wegner estimates for random Schroedinger operators on metric
graphs | We consider Schroedinger operators with a random potential of alloy type on
infinite metric graphs which obey certain uniformity conditions. For single
site potentials of fixed sign we prove that the random Schroedinger operator
restricted to a finite volume subgraph obeys a Wegner estimate which is linear
in the volume and reproduces the modulus of continuity of the single site
distribution. This improves and unifies earlier results for alloy type models
on metric graphs. We discuss applications of Wegner estimates to bounds of the
modulus of continuity of the integrated density of states of ergodic
Schroedinger operators, as well as to the proof of Anderson localisation via
the multiscale analysis
| math.SP math-ph math.FA math.MP | we consider schroedinger operators with a random potential of alloy type on infinite metric graphs which obey certain uniformity conditions for single site potentials of fixed sign we prove that the random schroedinger operator restricted to a finite volume subgraph obeys a wegner estimate which is linear in the volume and reproduces the modulus of continuity of the single site distribution this improves and unifies earlier results for alloy type models on metric graphs we discuss applications of wegner estimates to bounds of the modulus of continuity of the integrated density of states of ergodic schroedinger operators as well as to the proof of anderson localisation via the multiscale analysis | [['we', 'consider', 'schroedinger', 'operators', 'with', 'a', 'random', 'potential', 'of', 'alloy', 'type', 'on', 'infinite', 'metric', 'graphs', 'which', 'obey', 'certain', 'uniformity', 'conditions', 'for', 'single', 'site', 'potentials', 'of', 'fixed', 'sign', 'we', 'prove', 'that', 'the', 'random', 'schroedinger', 'operator', 'restricted', 'to', 'a', 'finite', 'volume', 'subgraph', 'obeys', 'a', 'wegner', 'estimate', 'which', 'is', 'linear', 'in', 'the', 'volume', 'and', 'reproduces', 'the', 'modulus', 'of', 'continuity', 'of', 'the', 'single', 'site', 'distribution', 'this', 'improves', 'and', 'unifies', 'earlier', 'results', 'for', 'alloy', 'type', 'models', 'on', 'metric', 'graphs', 'we', 'discuss', 'applications', 'of', 'wegner', 'estimates', 'to', 'bounds', 'of', 'the', 'modulus', 'of', 'continuity', 'of', 'the', 'integrated', 'density', 'of', 'states', 'of', 'ergodic', 'schroedinger', 'operators', 'as', 'well', 'as', 'to', 'the', 'proof', 'of', 'anderson', 'localisation', 'via', 'the', 'multiscale', 'analysis']] | [-0.10775919743728908, 0.10886911142786795, -0.08765341953628443, 0.0625559607351368, -0.05340680847875774, -0.1256838280072605, 0.055770321867682715, 0.3315182110125368, -0.2454888837835328, -0.23022902246395296, 0.1022683935737322, -0.29591466549953277, -0.12372379852300086, 0.16745841641148382, -0.07657375780188225, 0.10372571701353246, 0.05110937011512843, 0.06869123608551242, -0.09493189537686042, -0.21682790231848645, 0.351193395731124, 0.008538705186749046, 0.27845377301458607, 0.09327995831316167, 0.10371460275809195, 0.06276131674478, 0.005700289386070588, 0.018830857294696298, -0.15577537188212526, 0.11698248971581714, 0.16546262752582896, 0.05147365188988095, 0.23211766378107396, -0.39436739176850427, -0.2595971326301382, 0.14848491908051073, 0.10045743814076889, 0.08474418616387994, -0.027810265568339012, -0.29540486918254333, 0.09986014570405877, -0.11712273802100258, -0.18904074632816695, -0.04900803510946306, 0.0265322611074556, 0.08947891466827555, -0.3044487260874699, 0.14026457428593528, 0.0952959828343327, 0.03214239302853292, -0.12025405754843219, -0.10586034875384277, -0.018762245166792788, 0.09855350280095908, 0.0006279254385100847, 0.006132857221051712, 0.1209507607262243, -0.10318150160283866, -0.12802382992495867, 0.36073920508338647, -0.10064507453617724, -0.19861400452328698, 0.14352588071064515, -0.14164706671356478, -0.14148323741868477, 0.05119255277412859, 0.15511909885839983, 0.10545823099938306, -0.13607346849854696, 0.16305134353884074, -0.061927821014118804, 0.12988662672102114, 0.06816595975648274, 0.06281341868876056, 0.0723726277181413, 0.13341491324827076, 0.15175058936107566, 0.17368237887699664, -0.009589197372340343, -0.09693627674555914, -0.3507454394447533, -0.1468810776883567, -0.24903101882135326, 0.0878628479835408, -0.18137742985352154, -0.28347311557630417, 0.4093437429496341, 0.11443762905387715, 0.19251485755667092, 0.11187328359493139, 0.15400718433189797, 0.16434417805655605, 0.06958622778342528, 0.04222291584803977, 0.15329180307347667, 0.2160682000473819, 0.09446861949664626, -0.18776023869233374, 0.03334888945841654, 0.21073240584651518] |
711.1954 | Nonperturbative Effects and the Large-Order Behavior of Matrix Models
and Topological Strings | This work addresses nonperturbative effects in both matrix models and
topological strings, and their relation with the large-order behavior of the
1/N expansion. We study instanton configurations in generic one-cut matrix
models, obtaining explicit results for the one-instanton amplitude at both one
and two loops. The holographic description of topological strings in terms of
matrix models implies that our nonperturbative results also apply to
topological strings on toric Calabi-Yau manifolds. This yields very precise
predictions for the large-order behavior of the perturbative genus expansion,
both in conventional matrix models and in topological string theory. We test
these predictions in detail in various examples, including the quartic matrix
model, topological strings on the local curve, and Hurwitz theory. In all these
cases we provide extensive numerical checks which heavily support our
nonperturbative analytical results. Moreover, since all these models have a
critical point describing two-dimensional gravity, we also obtain in this way
the large-order asymptotics of the relevant solution to the Painleve I
equation, including corrections in inverse genus. From a mathematical point of
view, our results predict the large-genus asymptotics of simple Hurwitz numbers
and of local Gromov-Witten invariants.
| hep-th math-ph math.AG math.MP | this work addresses nonperturbative effects in both matrix models and topological strings and their relation with the largeorder behavior of the 1n expansion we study instanton configurations in generic onecut matrix models obtaining explicit results for the oneinstanton amplitude at both one and two loops the holographic description of topological strings in terms of matrix models implies that our nonperturbative results also apply to topological strings on toric calabiyau manifolds this yields very precise predictions for the largeorder behavior of the perturbative genus expansion both in conventional matrix models and in topological string theory we test these predictions in detail in various examples including the quartic matrix model topological strings on the local curve and hurwitz theory in all these cases we provide extensive numerical checks which heavily support our nonperturbative analytical results moreover since all these models have a critical point describing twodimensional gravity we also obtain in this way the largeorder asymptotics of the relevant solution to the painleve i equation including corrections in inverse genus from a mathematical point of view our results predict the largegenus asymptotics of simple hurwitz numbers and of local gromovwitten invariants | [['this', 'work', 'addresses', 'nonperturbative', 'effects', 'in', 'both', 'matrix', 'models', 'and', 'topological', 'strings', 'and', 'their', 'relation', 'with', 'the', 'largeorder', 'behavior', 'of', 'the', '1n', 'expansion', 'we', 'study', 'instanton', 'configurations', 'in', 'generic', 'onecut', 'matrix', 'models', 'obtaining', 'explicit', 'results', 'for', 'the', 'oneinstanton', 'amplitude', 'at', 'both', 'one', 'and', 'two', 'loops', 'the', 'holographic', 'description', 'of', 'topological', 'strings', 'in', 'terms', 'of', 'matrix', 'models', 'implies', 'that', 'our', 'nonperturbative', 'results', 'also', 'apply', 'to', 'topological', 'strings', 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711.1955 | On the stability of thick brane worlds non-minimally coupled to gravity | We analyze a class of 5D models where a 3 brane is generated by a bulk scalar
field non minimally coupled to gravity. We show that perturbative stability of
such branes is normally guaranteed although non minimal couplings are not
innocuous in general. After the physical states are identified the linearized
equations for propagating modes are evaluated into a Schroedinger form and
supersymmetric quantum mechanics provides the absence of tachyons. The spectrum
contains a tower of spin 2 and spin 0 fields with continuous masses starting
from zero ones. For regular geometries the scalar spectrum contains a state
with zero mass which is always non normalizable. The propagating massive scalar
states are repelled off the brane due to a centrifugal potential.
| hep-th | we analyze a class of 5d models where a 3 brane is generated by a bulk scalar field non minimally coupled to gravity we show that perturbative stability of such branes is normally guaranteed although non minimal couplings are not innocuous in general after the physical states are identified the linearized equations for propagating modes are evaluated into a schroedinger form and supersymmetric quantum mechanics provides the absence of tachyons the spectrum contains a tower of spin 2 and spin 0 fields with continuous masses starting from zero ones for regular geometries the scalar spectrum contains a state with zero mass which is always non normalizable the propagating massive scalar states are repelled off the brane due to a centrifugal potential | [['we', 'analyze', 'a', 'class', 'of', '5d', 'models', 'where', 'a', '3', 'brane', 'is', 'generated', 'by', 'a', 'bulk', 'scalar', 'field', 'non', 'minimally', 'coupled', 'to', 'gravity', 'we', 'show', 'that', 'perturbative', 'stability', 'of', 'such', 'branes', 'is', 'normally', 'guaranteed', 'although', 'non', 'minimal', 'couplings', 'are', 'not', 'innocuous', 'in', 'general', 'after', 'the', 'physical', 'states', 'are', 'identified', 'the', 'linearized', 'equations', 'for', 'propagating', 'modes', 'are', 'evaluated', 'into', 'a', 'schroedinger', 'form', 'and', 'supersymmetric', 'quantum', 'mechanics', 'provides', 'the', 'absence', 'of', 'tachyons', 'the', 'spectrum', 'contains', 'a', 'tower', 'of', 'spin', '2', 'and', 'spin', '0', 'fields', 'with', 'continuous', 'masses', 'starting', 'from', 'zero', 'ones', 'for', 'regular', 'geometries', 'the', 'scalar', 'spectrum', 'contains', 'a', 'state', 'with', 'zero', 'mass', 'which', 'is', 'always', 'non', 'normalizable', 'the', 'propagating', 'massive', 'scalar', 'states', 'are', 'repelled', 'off', 'the', 'brane', 'due', 'to', 'a', 'centrifugal', 'potential']] | [-0.18327867029588824, 0.23997010427338555, -0.06101029645266735, 0.08353962853054463, -0.07358290992755624, -0.20922864295065033, -0.04474532689845328, 0.28445313477981066, -0.18405389628750235, -0.2312140220887805, 0.0696593766872317, -0.3248412111266093, -0.08173092713671898, 0.13076610054266602, -0.00044160177315439073, 0.00848998007757112, 0.018332758212215767, 0.09007343676033591, -0.056588355168961914, -0.1900193377413348, 0.36164624982875243, -0.027231952965871453, 0.22715482487504887, 0.016419105085521198, 0.07635876305270478, -0.028065950492366164, 0.05201901567422531, 0.030733086908989477, -0.07581151289364356, 0.04872574214919755, 0.1930098356346252, 0.06701812048034728, 0.209933022487416, -0.4294638279825449, -0.24023341655746594, 0.11400111102737671, 0.15957792684405056, 0.17506843278750253, -0.06206198805877708, -0.29331385730650306, 0.09168403193139094, -0.14096665269241107, -0.21031618232969657, -0.08108858284367294, -0.014427587566012132, -0.09781715166870474, -0.26648479569722583, 0.10763296725089885, 0.022483211048216798, 0.017969036844274228, -0.08931003944671229, -0.07836055321414948, -0.12906491524763097, 0.05910729908977042, 0.10035197702159505, 0.019192798332549818, 0.1269361680596759, -0.1636230919220531, -0.10465138699486082, 0.38280253378628204, -0.11708283017212448, -0.27827667721454824, 0.18229577830061316, -0.1382657978568257, -0.06083905529269317, 0.1539117018076445, 0.11461529525935896, 0.16284587884645077, -0.13577733322023605, 0.19381227346872218, -0.0008658896987364927, 0.1487218588590622, 0.09021271943030032, 0.06282030046996391, 0.30598198274566124, 0.07493499422268865, 0.040959814413304416, 0.13394908728231944, -0.00296999427513027, -0.15159782901221563, -0.3766048562920783, -0.1306942115106797, -0.13732876460845314, 0.12734985521098324, -0.06615500320263845, -0.22099381681312308, 0.4068488648357563, 0.05693097237867018, 0.14527556026154312, 0.0514246080280474, 0.2385991323308265, 0.11452667083406498, 0.06643540823970698, 0.1143912568761513, 0.28548038949851284, 0.1609568258551188, 0.06324901085054456, -0.19013645358514503, -0.10989617990245196, 0.05996413621666633] |
711.1956 | Irreducibility of the symmetric Yagzhev's maps | Let $F:\Cn \to \Cn$ be a polynomial mapping in Yagzhev's form,i.e.
$$F(x_1,\ld,x_n)=(x_1+H_1(x_1,\ld,x_n),\ld,x_n+H_n(x_1,\ld,x_n)),$$ where $H_i$
are homogenous polynomials of degree 3. In this paper we show that if $\Jac(F)
\in \mathbb{C}^*$ and the Jacobian matrix of $F$ is symmetric, then all the
polynomials $x_i+H_i(x_1,\ld,x_n)$ are irreducible as elements of the ring
$\mathbb{C}[x_1,\ld,x_n]$.
| math.AG | let fcn to cn be a polynomial mapping in yagzhevs formie fx_1ldx_nx_1h_1x_1ldx_nldx_nh_nx_1ldx_n where h_i are homogenous polynomials of degree 3 in this paper we show that if jacf in mathbbc and the jacobian matrix of f is symmetric then all the polynomials x_ih_ix_1ldx_n are irreducible as elements of the ring mathbbcx_1ldx_n | [['let', 'fcn', 'to', 'cn', 'be', 'a', 'polynomial', 'mapping', 'in', 'yagzhevs', 'formie', 'fx_1ldx_nx_1h_1x_1ldx_nldx_nh_nx_1ldx_n', 'where', 'h_i', 'are', 'homogenous', 'polynomials', 'of', 'degree', '3', 'in', 'this', 'paper', 'we', 'show', 'that', 'if', 'jacf', 'in', 'mathbbc', 'and', 'the', 'jacobian', 'matrix', 'of', 'f', 'is', 'symmetric', 'then', 'all', 'the', 'polynomials', 'x_ih_ix_1ldx_n', 'are', 'irreducible', 'as', 'elements', 'of', 'the', 'ring', 'mathbbcx_1ldx_n']] | [-0.15982206310662958, 0.11315522365685966, -0.03454639619837205, -0.09264422754446665, -0.03168760285609298, -0.14403805955209667, -0.11217170976257572, 0.3948893474621905, -0.3569661661982536, -0.11211456121462915, 0.10282854199047303, -0.2444633635485338, -0.19867757202850447, 0.12090686503797769, -0.07684257847981321, -0.047893637532575264, 0.024072215219752655, 0.10333826215420332, -0.12100789275330802, -0.3306844743175639, 0.36790012845562564, -0.08416834125916163, 0.11448200525095066, 0.038137170424064, 0.07799808929363887, -0.06922158498523964, 0.022425930491752094, -0.0424238287171142, -0.09108824494582626, 0.10277478358863543, 0.34446938782930375, 0.1443855468183756, 0.20638397129045594, -0.3673711718370517, -0.09924609071264665, 0.30792087469663887, 0.20182267510228688, -0.03409560606362195, 0.042554271262553005, -0.21779594144059553, 0.16756854721655448, -0.1609402831724664, -0.15360466978616186, -0.03907495661017795, 0.10605605598539114, 0.10005525357814299, -0.37251036966012585, 0.013237666193809774, 0.08639342296454641, 0.12602795906778838, 0.007696904024730126, -0.13668595908934045, -0.04968724933763345, 0.0563706173768474, -0.07424361054371628, 0.09710245945025235, 0.041284005612962776, -0.09943177023799055, -0.037173436758004955, 0.3957012590020895, -0.09257265921268198, -0.27264226612945397, 0.058514597008211745, -0.24226224619067377, -0.17629094692981906, 0.10691019801629914, 0.14398859520442783, 0.15144507408969932, -0.0537539458523194, 0.20699158399753895, -0.15593373717533218, 0.1162879437699707, 0.08643099075610129, -0.030172739995436536, 0.10621943881010844, 0.019893971789214347, 0.05176110450863942, 0.14347857242812298, -0.003807411591211955, 0.016900350598411426, -0.3447923796044456, -0.19692233501312634, -0.21729545805655007, 0.12065475614120563, -0.15011865309303782, -0.14486444987770583, 0.44667905809150804, 0.08124318489183982, 0.22834335922574003, 0.10779197187059456, 0.22159894336428906, 0.09541420528613445, 0.05295797445707851, 0.08387945593438215, 0.10830724607739184, 0.1840274444884724, -0.06764172319736746, -0.1286099773728185, 0.03704839411916004, 0.16260165998505222] |
711.1957 | The Rectilinar Three-body Problem using Symbol Sequence II. Role of the
periodic orbits | We study the change of phase space structure of the rectilinear three-body
problem when the mass combination is changed. Generally, periodic orbits
bifurcate from the stable Schubart periodic orbit and move radially outward.
Among these periodic orbits there are dominant periodic orbits having rotation
number (n-2)/n with n <= 3. We find that the number of dominant periodic orbits
is two when n is odd and four when n is even. Dominant periodic orbits have
large stable regions in and out of the stability region of the Schubart orbit
(Schubart region), and so they determine the size of the Schubart region and
influence the structure of the Poincare section out of the Schubart region.
Indeed, with the movement of the dominant periodic orbits, part of complicated
structure of the Poincare section follow these orbits. We find stable periodic
orbits which do not bifurcate from the Schubart orbit.
| astro-ph | we study the change of phase space structure of the rectilinear threebody problem when the mass combination is changed generally periodic orbits bifurcate from the stable schubart periodic orbit and move radially outward among these periodic orbits there are dominant periodic orbits having rotation number n2n with n 3 we find that the number of dominant periodic orbits is two when n is odd and four when n is even dominant periodic orbits have large stable regions in and out of the stability region of the schubart orbit schubart region and so they determine the size of the schubart region and influence the structure of the poincare section out of the schubart region indeed with the movement of the dominant periodic orbits part of complicated structure of the poincare section follow these orbits we find stable periodic orbits which do not bifurcate from the schubart orbit | [['we', 'study', 'the', 'change', 'of', 'phase', 'space', 'structure', 'of', 'the', 'rectilinear', 'threebody', 'problem', 'when', 'the', 'mass', 'combination', 'is', 'changed', 'generally', 'periodic', 'orbits', 'bifurcate', 'from', 'the', 'stable', 'schubart', 'periodic', 'orbit', 'and', 'move', 'radially', 'outward', 'among', 'these', 'periodic', 'orbits', 'there', 'are', 'dominant', 'periodic', 'orbits', 'having', 'rotation', 'number', 'n2n', 'with', 'n', '3', 'we', 'find', 'that', 'the', 'number', 'of', 'dominant', 'periodic', 'orbits', 'is', 'two', 'when', 'n', 'is', 'odd', 'and', 'four', 'when', 'n', 'is', 'even', 'dominant', 'periodic', 'orbits', 'have', 'large', 'stable', 'regions', 'in', 'and', 'out', 'of', 'the', 'stability', 'region', 'of', 'the', 'schubart', 'orbit', 'schubart', 'region', 'and', 'so', 'they', 'determine', 'the', 'size', 'of', 'the', 'schubart', 'region', 'and', 'influence', 'the', 'structure', 'of', 'the', 'poincare', 'section', 'out', 'of', 'the', 'schubart', 'region', 'indeed', 'with', 'the', 'movement', 'of', 'the', 'dominant', 'periodic', 'orbits', 'part', 'of', 'complicated', 'structure', 'of', 'the', 'poincare', 'section', 'follow', 'these', 'orbits', 'we', 'find', 'stable', 'periodic', 'orbits', 'which', 'do', 'not', 'bifurcate', 'from', 'the', 'schubart', 'orbit']] | [-0.2532233594895232, 0.1708235352185287, -0.07529601866175255, 0.05544790831930323, -0.03213621414113432, -0.10370219842696639, 0.0237705555348976, 0.3478800916967735, -0.2766268126003138, -0.24332089508781593, 0.11621496196730981, -0.25133797489999704, -0.10989971704161502, 0.18391608724399303, -0.025531682320583407, 0.01518377456941629, 0.1261258268767126, 0.07971782303313175, -0.037477435560877854, -0.24655124323270347, 0.3490444524389092, -0.027502548648044467, 0.1283755220045425, -0.06444086431053607, 0.008078922511218754, 0.025717680635925843, 0.01808045509315976, -0.012209971993723055, -0.1685048532929875, 0.07947213866680937, 0.16624258620798435, 0.028583820064054574, 0.19413144247804143, -0.3783239571773128, -0.1370009854818656, 0.13684480668568652, 0.1922520524790281, 0.08095360727269484, -0.011976402508069391, -0.26867375422862344, 0.10726224627243737, -0.13535441811298568, -0.2501828426826898, -0.022210179279520088, 0.15504584571805924, 0.03251240854247231, -0.20908678773980371, 0.058680882887940294, 0.12445967552596576, 0.07039355390309675, -0.11996559396526482, -0.08658786420072492, -0.1439877966823924, 0.158441325038638, 0.09790678431394778, -0.021443682485132492, 0.1460200376993632, -0.02701592100273869, -0.02611730861388249, 0.38776438164027177, -0.0072569167656084035, -0.17526045102767218, 0.19604740924144495, -0.26622509190251364, -0.11689273740981437, 0.26113352315398314, 0.16227830592415307, 0.14437136467074185, -0.04853097388107403, 0.1225386698046948, -0.08106648071656285, 0.14575793564141, 0.18283200083134618, -0.018138177868310516, 0.2884790622310279, 0.08185995518937962, 0.155563627073082, 0.08541663037613034, -0.13524417692080956, -0.13327396574608777, -0.2640677251508587, -0.06910069147762779, -0.07318474839709393, 0.03387090096687531, -0.06340078194974523, -0.2190327241710604, 0.354970528792003, 0.03632332821223527, 0.22288164989512466, -0.0041821966520255455, 0.21775768454862784, 0.08139287217277778, 0.05635916992179947, 0.14474705721878395, 0.30186207850195773, 0.10283025272177813, 0.016398826129224203, -0.23544681434876807, 0.0010193923188449993, 0.0620361306443045] |
711.1958 | Intrinsic channel closing in strong-field single ionization of H2 | The ionization of H2 in intense laser pulses is studied by numerical
integration of the time-dependent Schr\"odinger equation for a
single-active-electron model including the vibrational motion. The electron
kinetic-energy spectra in high-order above-threshold ionization are strongly
dependent on the vibrational quantum number of the created H2+ ion. For certain
vibrational states, the electron yield in the mid-plateau region is strongly
enhanced. The effect is attributed to channel closings, which were previously
observed in atoms by varying the laser intensity.
| physics.atom-ph | the ionization of h2 in intense laser pulses is studied by numerical integration of the timedependent schrodinger equation for a singleactiveelectron model including the vibrational motion the electron kineticenergy spectra in highorder abovethreshold ionization are strongly dependent on the vibrational quantum number of the created h2 ion for certain vibrational states the electron yield in the midplateau region is strongly enhanced the effect is attributed to channel closings which were previously observed in atoms by varying the laser intensity | [['the', 'ionization', 'of', 'h2', 'in', 'intense', 'laser', 'pulses', 'is', 'studied', 'by', 'numerical', 'integration', 'of', 'the', 'timedependent', 'schrodinger', 'equation', 'for', 'a', 'singleactiveelectron', 'model', 'including', 'the', 'vibrational', 'motion', 'the', 'electron', 'kineticenergy', 'spectra', 'in', 'highorder', 'abovethreshold', 'ionization', 'are', 'strongly', 'dependent', 'on', 'the', 'vibrational', 'quantum', 'number', 'of', 'the', 'created', 'h2', 'ion', 'for', 'certain', 'vibrational', 'states', 'the', 'electron', 'yield', 'in', 'the', 'midplateau', 'region', 'is', 'strongly', 'enhanced', 'the', 'effect', 'is', 'attributed', 'to', 'channel', 'closings', 'which', 'were', 'previously', 'observed', 'in', 'atoms', 'by', 'varying', 'the', 'laser', 'intensity']] | [-0.08870058657625053, 0.23182892284202802, -0.022260808220864098, 0.04657083111844627, 0.0696350305128984, -0.1270817768571403, -0.01307738592694926, 0.4201653239470494, -0.22384418481725116, -0.2826090076160205, -0.04131457243774888, -0.2874826503611064, -0.01611902883064143, 0.20554965738313202, 0.032604661065410184, 0.06407014821667838, 0.026319787701992673, -0.05026919622257163, 0.018746918096808316, -0.1612414239767255, 0.282825696087572, 0.09925386941950486, 0.2496203770271585, 0.09013904919081568, 0.06044948572599435, -0.028892179485410452, 0.004102793133145646, -0.05793069736867011, -0.12969545501319668, 0.10597635827047892, 0.23055328134022937, -0.03662513191163351, 0.25657290243838404, -0.4561516493794662, -0.28181708729059635, -0.014783566724803724, 0.14890734735239722, 0.14972088047851442, -0.053583718501797675, -0.29986894486731364, -0.04346895873357978, -0.11672915199983723, -0.11313241617046768, -0.04466952278597068, 0.01249383000916318, 0.11545617641480285, -0.2744825814579484, 0.12480444925589652, -0.013747553324880951, 0.05596580726530733, -0.100709207090726, -0.06353113372939863, -0.06532785208023424, -0.013829198469189763, -0.0018689127983761173, 0.03074437468843181, 0.22141765301481267, -0.11588501086152053, -0.062060752883553505, 0.39082095302830017, -0.11267087047129776, -0.1346593241714224, 0.1485418806396295, -0.2292248953746844, -0.062207861838838724, 0.29208343051656893, 0.0942433910868779, 0.14350505508600345, -0.11197650423155556, 0.058454982529665474, 0.013562723593432692, 0.16949747485069808, 0.12400835539697658, 0.10161069237120167, 0.14877530835757527, 0.11067564858571638, 0.016766271813289275, 0.12018085474791625, -0.14989239780776256, -0.10970782750297951, -0.23526402604117802, -0.09864229657038857, -0.1873952931241144, 0.045660680548959894, -0.009515798373642978, -0.13617362245870165, 0.42056290692166437, 0.062422222611081754, 0.11842355916064375, -0.11867212038634557, 0.27301748602686426, 0.2302492009063216, -0.008542142802542901, -0.0021492692972002905, 0.2777410000975279, 0.19561849639137996, 0.08288068212922427, -0.3830173385942567, 0.06018893082944464, 0.03274791169015667] |
711.1959 | Absolute kinematics of radio source components in the complete S5 polar
cap sample. III. First wide-field high-precision astrometry at 15.4 GHz | We report on the first wide-field, high-precision astrometric analysis of the
13 extragalactic radio sources of the complete S5 polar cap sample at 15.4 GHz.
We describe new algorithms developed to enable the use of differenced phase
delays in wide-field astrometric observations and discuss the impact of using
differenced phase delays on the precision of the wide-field astrometric
analysis. From this global fit, we obtained estimates of the relative source
positions with precisions ranging from 14 to 200 $\mu$as at 15.4 GHz, depending
on the angular separation of the sources (from $\sim$1.6 to $\sim$20.8
degrees). These precisions are $\sim$10 times higher than the achievable
precisions using the phase-reference mapping technique.
| astro-ph | we report on the first widefield highprecision astrometric analysis of the 13 extragalactic radio sources of the complete s5 polar cap sample at 154 ghz we describe new algorithms developed to enable the use of differenced phase delays in widefield astrometric observations and discuss the impact of using differenced phase delays on the precision of the widefield astrometric analysis from this global fit we obtained estimates of the relative source positions with precisions ranging from 14 to 200 muas at 154 ghz depending on the angular separation of the sources from sim16 to sim208 degrees these precisions are sim10 times higher than the achievable precisions using the phasereference mapping technique | [['we', 'report', 'on', 'the', 'first', 'widefield', 'highprecision', 'astrometric', 'analysis', 'of', 'the', '13', 'extragalactic', 'radio', 'sources', 'of', 'the', 'complete', 's5', 'polar', 'cap', 'sample', 'at', '154', 'ghz', 'we', 'describe', 'new', 'algorithms', 'developed', 'to', 'enable', 'the', 'use', 'of', 'differenced', 'phase', 'delays', 'in', 'widefield', 'astrometric', 'observations', 'and', 'discuss', 'the', 'impact', 'of', 'using', 'differenced', 'phase', 'delays', 'on', 'the', 'precision', 'of', 'the', 'widefield', 'astrometric', 'analysis', 'from', 'this', 'global', 'fit', 'we', 'obtained', 'estimates', 'of', 'the', 'relative', 'source', 'positions', 'with', 'precisions', 'ranging', 'from', '14', 'to', '200', 'muas', 'at', '154', 'ghz', 'depending', 'on', 'the', 'angular', 'separation', 'of', 'the', 'sources', 'from', 'sim16', 'to', 'sim208', 'degrees', 'these', 'precisions', 'are', 'sim10', 'times', 'higher', 'than', 'the', 'achievable', 'precisions', 'using', 'the', 'phasereference', 'mapping', 'technique']] | [-0.08382755208551165, 0.06141126642020744, -0.06168060732680723, -0.0014049486489966512, -0.06486075656881574, -0.04875469784927341, 0.10904586558665978, 0.40691735715511335, -0.20597826422901327, -0.3943352469097857, 0.17170612803562074, -0.2940732614487546, 0.013663162661015714, 0.2610577930858649, -0.0242143926475573, 0.03289837001421309, 0.10037628988897719, -0.05511152930557728, -0.13752726400100174, -0.20965206120675856, 0.20167165961321615, 0.09821922502933292, 0.20611118799109662, -0.05281536981309636, 0.14994047859837428, -0.05066033032372457, -0.14127658817643693, -0.04410445501327241, -0.16694348460969027, 0.09636485270318498, 0.21285649121380112, 0.12102293174867647, 0.18128044264168913, -0.34222639208506533, -0.13479329986121813, 0.058953879554884146, 0.10382710239174989, 0.08550214398344723, 0.04171821021436449, -0.354507515557247, 0.07832048951707986, -0.15670971489519975, -0.1468492558208901, 0.003190386903668762, -0.006357804329536103, 0.06865372608304707, -0.2132437111502257, 0.12058378545430685, -0.06692893544622909, 0.15795865300359255, -0.1306750337089147, -0.1871627074230565, 0.026000614679597932, 0.13274354856341666, -0.05165915899491365, 0.11223290316811806, 0.10455354836709592, -0.09087708377313518, -0.10290193904208345, 0.369964344828569, -0.10685145753981021, -0.040597246867954864, 0.1624654422112561, -0.22687190727527262, -0.18938920390151373, 0.1725884946319488, 0.24828204184497168, 0.11255828965318586, -0.16179325355541543, -0.012402333765089887, 0.07463344572317027, 0.2773237994641339, 0.09887198469208536, 0.13552084988102728, 0.23663837622013797, 0.14333565422940417, 0.0922399758609063, 0.108739961215846, -0.32095453097247906, -0.004630219208401278, -0.2985290839089029, -0.04736625012693876, -0.12981665606285794, 0.09101435508143259, -0.1442076249961013, -0.025488399514937005, 0.39161620295068267, 0.18195190660894736, 0.14797250596686787, 0.08287793283196969, 0.3255663781315772, 0.037358782916338346, 0.07919355818506228, 0.062324171116866105, 0.36718701959348393, 0.11973357470834269, 0.1064718810696189, -0.18584795753736424, -0.030160758400831475, -0.019823982000111713] |
711.196 | Good Banach spaces for piecewise hyperbolic maps via interpolation | We introduce a weak transversality condition for piecewise C^{1+\alpha} and
piecewise hyperbolic maps which admit a C^{1+\alpha} stable distribution. We
show good bounds on the essential spectral radius of the associated transfer
operators acting on classical anisotropic Sobolev spaces of Triebel-Lizorkin
type. In many cases, we obtain a spectral gap from which we deduce the
existence of finitely many physical measures with basin of total measure. The
analysis relies on standard techniques (in particular complex interpolation)
and applies also to piecewise expanding maps and to Anosov diffeomorphisms,
giving a unifying picture of several previous results.
| math.DS | we introduce a weak transversality condition for piecewise c1alpha and piecewise hyperbolic maps which admit a c1alpha stable distribution we show good bounds on the essential spectral radius of the associated transfer operators acting on classical anisotropic sobolev spaces of triebellizorkin type in many cases we obtain a spectral gap from which we deduce the existence of finitely many physical measures with basin of total measure the analysis relies on standard techniques in particular complex interpolation and applies also to piecewise expanding maps and to anosov diffeomorphisms giving a unifying picture of several previous results | [['we', 'introduce', 'a', 'weak', 'transversality', 'condition', 'for', 'piecewise', 'c1alpha', 'and', 'piecewise', 'hyperbolic', 'maps', 'which', 'admit', 'a', 'c1alpha', 'stable', 'distribution', 'we', 'show', 'good', 'bounds', 'on', 'the', 'essential', 'spectral', 'radius', 'of', 'the', 'associated', 'transfer', 'operators', 'acting', 'on', 'classical', 'anisotropic', 'sobolev', 'spaces', 'of', 'triebellizorkin', 'type', 'in', 'many', 'cases', 'we', 'obtain', 'a', 'spectral', 'gap', 'from', 'which', 'we', 'deduce', 'the', 'existence', 'of', 'finitely', 'many', 'physical', 'measures', 'with', 'basin', 'of', 'total', 'measure', 'the', 'analysis', 'relies', 'on', 'standard', 'techniques', 'in', 'particular', 'complex', 'interpolation', 'and', 'applies', 'also', 'to', 'piecewise', 'expanding', 'maps', 'and', 'to', 'anosov', 'diffeomorphisms', 'giving', 'a', 'unifying', 'picture', 'of', 'several', 'previous', 'results']] | [-0.12690407962440267, 0.051655236936762536, -0.10224481545094596, 0.12001467954955602, -0.07241379804173975, -0.13097641460205378, 0.0004454378381763634, 0.3716276202742991, -0.29460730031622867, -0.20134974128909802, 0.12289614146942959, -0.24818381604395415, -0.13886567358123628, 0.2707396251529357, -0.12262153446086144, 0.10036881008724632, 0.05876038685244949, 0.00906887574023322, -0.12461167282767986, -0.18051217265280062, 0.4350269716036947, -0.04575775214716008, 0.23154481090605258, 0.08816052481507589, 0.10665413452508418, -0.02004535268305948, -0.06558332282461618, 0.011625673891620336, -0.2181218200314202, 0.1756699700619241, 0.21400867947622348, 0.0798672272872768, 0.24996956884615906, -0.3529821446655612, -0.2560925445580659, 0.17774906799344248, 0.10569099481952818, 0.018268351626466027, -0.057283937833333194, -0.303674155297248, 0.05202576616092732, -0.09471590968865999, -0.18553972607233415, -0.13226995013262097, -0.009702719262752093, 0.08552133788991916, -0.292915730830282, 0.08281985838180653, 0.15244442017467105, 0.0818604465868128, -0.14838776186990896, -0.05688458095353685, -0.0446750727629191, 0.124130164714236, -0.00849003623190679, 0.034474305200733635, 0.10363114554631082, -0.02474325154172747, -0.0818697289343139, 0.3475568844495635, -0.11373238831170296, -0.26337622943285266, 0.24380264013613526, -0.16789168863140636, -0.17786111573345567, 0.11695535549599874, 0.16109014250534145, 0.14541605582482206, -0.06735300452105308, 0.17278126281943465, -0.08000323339487965, 0.11730536402840364, 0.09857502975746205, 0.054396856791879, 0.09335926229036168, 0.07972181476407537, 0.19072872531894397, 0.1391353718862918, -0.005694787588436156, -0.11614952174836378, -0.3506191449484935, -0.13285669448148263, -0.13046710166688028, 0.10271005409549137, -0.15620526317461075, -0.2490958176639029, 0.3937561193186986, 0.08614599243186316, 0.20440644344535508, 0.1239219193028188, 0.23649006952580653, 0.07527660575364471, 0.025654237130411754, 0.09026845448503369, 0.17670488226791156, 0.1833188577702171, 0.05909997228238928, -0.10352867606071461, -0.008067358956721268, 0.19173007599617306] |
711.1961 | Lattice QCD study of $g_A^{N^*N^*}$ with two flavors of dynamical quarks | We report the first lattice QCD result of the axial charge of N(1535),
$g_A^{N^*N^*}$. The measurement is performed with two flavors of dynamical
quarks employing the renormalization-group improved gauge action at
$\beta$=1.95 and the mean-field improved clover quark action with the hopping
parameters, $\kappa$=0.1375, 0.1390 and 0.1400. In order to avoid the signal
contaminations by N(1650) lying just 100 MeV above N(1535), we construct
2$\times$2 correlation matrices and diagonalize them so that clear signal
separation can be found. The wraparound contributions in the correlator, which
can be another source of signal contamination, are eliminated by imposing the
Dirichlet boundary condition in the temporal direction. We find that the axial
charge of N(1535) takes small values as $g_A^{N^*N^*}\sim 0.2$, independent of
quark masses, in the pion-mass range of 0.7 to 1.1 GeV.
| hep-lat | we report the first lattice qcd result of the axial charge of n1535 g_ann the measurement is performed with two flavors of dynamical quarks employing the renormalizationgroup improved gauge action at beta195 and the meanfield improved clover quark action with the hopping parameters kappa01375 01390 and 01400 in order to avoid the signal contaminations by n1650 lying just 100 mev above n1535 we construct 2times2 correlation matrices and diagonalize them so that clear signal separation can be found the wraparound contributions in the correlator which can be another source of signal contamination are eliminated by imposing the dirichlet boundary condition in the temporal direction we find that the axial charge of n1535 takes small values as g_annsim 02 independent of quark masses in the pionmass range of 07 to 11 gev | [['we', 'report', 'the', 'first', 'lattice', 'qcd', 'result', 'of', 'the', 'axial', 'charge', 'of', 'n1535', 'g_ann', 'the', 'measurement', 'is', 'performed', 'with', 'two', 'flavors', 'of', 'dynamical', 'quarks', 'employing', 'the', 'renormalizationgroup', 'improved', 'gauge', 'action', 'at', 'beta195', 'and', 'the', 'meanfield', 'improved', 'clover', 'quark', 'action', 'with', 'the', 'hopping', 'parameters', 'kappa01375', '01390', 'and', '01400', 'in', 'order', 'to', 'avoid', 'the', 'signal', 'contaminations', 'by', 'n1650', 'lying', 'just', '100', 'mev', 'above', 'n1535', 'we', 'construct', '2times2', 'correlation', 'matrices', 'and', 'diagonalize', 'them', 'so', 'that', 'clear', 'signal', 'separation', 'can', 'be', 'found', 'the', 'wraparound', 'contributions', 'in', 'the', 'correlator', 'which', 'can', 'be', 'another', 'source', 'of', 'signal', 'contamination', 'are', 'eliminated', 'by', 'imposing', 'the', 'dirichlet', 'boundary', 'condition', 'in', 'the', 'temporal', 'direction', 'we', 'find', 'that', 'the', 'axial', 'charge', 'of', 'n1535', 'takes', 'small', 'values', 'as', 'g_annsim', '02', 'independent', 'of', 'quark', 'masses', 'in', 'the', 'pionmass', 'range', 'of', '07', 'to', '11', 'gev']] | [-0.14037006471007493, 0.26234567711371504, -0.06305533854418811, 0.07791547392377672, -0.040901138009334634, -0.11035009756247079, 0.07932245178603148, 0.3656373232005889, -0.18937022839152995, -0.2956860238110348, 0.015601322880434228, -0.28917598746404166, -0.03506090613579704, 0.06270414934927271, 0.04960823599213578, 0.06128285070341383, 0.046953849848146545, 0.031109804991376763, -0.12388789982940177, -0.1926881928878431, 0.307271906231594, -0.00024486181347538495, 0.1978738002962511, 0.14156069016290246, 0.06348416240857417, 0.009229606042797357, -0.011718628512169342, -0.07824620881601314, -0.07704107347444386, -0.0036324372084967733, 0.20902700826280415, -0.0005846173029400956, 0.12835899430846098, -0.3450112313188556, -0.1539234103499876, 0.08890100853972649, 0.1724057774830837, 0.10012796691588645, -0.004038485649525266, -0.3136239435154063, 0.10687177917628571, -0.1899534848355155, -0.1530578410126738, -0.07702061825410556, -0.03627264016762888, -0.042039895532403906, -0.3520258162881582, 0.12878343613661883, -0.02144036082242516, 0.038925309551751795, -0.032971775123693106, -0.23518795361884565, -0.0452429098965785, 0.1034960053267512, 0.10337670316354493, 0.10741006174899695, 0.1462958739636793, -0.10321833514999457, -0.0939506737382919, 0.37012447200658666, -0.07093581399180081, -0.19847782611320833, 0.0830975659707035, -0.16233715404692384, -0.12649740677021215, 0.14550888236036225, 0.13059300784277553, 0.052087320502045856, -0.19899282898071385, 0.08971993176431843, -0.016861370586050774, 0.22396509361432027, 0.12281626668751582, 0.027815095497337915, 0.18922545999032622, 0.12730943382262672, 0.021503876840837037, 0.08593845986121312, -0.11052898209269216, -0.07422625655592739, -0.3145007139022057, -0.04353808432387345, -0.14948400011186608, 0.07187055566753367, -0.14634293562677983, -0.10048667203549666, 0.39484809041876373, 0.15705988479987895, 0.2103956310960059, 0.005633297590503313, 0.25206616424905665, 0.12424064179409637, 0.11452760877450288, 0.04249672419995866, 0.27474667120881324, 0.1888462594489901, 0.09507054196606668, -0.2741046918357033, -0.06825925966099132, 0.07994595620041813] |
711.1962 | Tropical complete intersection curves | A tropical complete intersection curve C in R^(n+1) is a transversal
intersection of n smooth tropical hypersurfaces. We give a formula for the
number of vertices of C given by the degrees of the tropical hypersurfaces. We
also compute the genus of C (defined as the number of independent cycles of C)
when C is smooth and connected.
| math.AG math.CO | a tropical complete intersection curve c in rn1 is a transversal intersection of n smooth tropical hypersurfaces we give a formula for the number of vertices of c given by the degrees of the tropical hypersurfaces we also compute the genus of c defined as the number of independent cycles of c when c is smooth and connected | [['a', 'tropical', 'complete', 'intersection', 'curve', 'c', 'in', 'rn1', 'is', 'a', 'transversal', 'intersection', 'of', 'n', 'smooth', 'tropical', 'hypersurfaces', 'we', 'give', 'a', 'formula', 'for', 'the', 'number', 'of', 'vertices', 'of', 'c', 'given', 'by', 'the', 'degrees', 'of', 'the', 'tropical', 'hypersurfaces', 'we', 'also', 'compute', 'the', 'genus', 'of', 'c', 'defined', 'as', 'the', 'number', 'of', 'independent', 'cycles', 'of', 'c', 'when', 'c', 'is', 'smooth', 'and', 'connected']] | [-0.28068701885961767, 0.0958579457846695, -0.03654438983006724, -0.0027240445187058427, -0.00844873342229503, -0.15340431879981067, 0.031976532062579846, 0.2616730161525052, -0.27395117719625606, -0.22318818465132137, 0.08204532571032579, -0.25177751275999793, -0.12914174402148687, 0.19531821382456813, -0.15427070806316776, -0.010929071087518642, 0.03889036247233764, 0.08804176582408876, -0.04330288639677496, -0.3273231248082272, 0.35951449272447616, -0.10457835797670073, 0.14552942631316595, 0.12126042864060607, 0.09825262711543975, 0.022329043974329173, 0.009121440768498799, 0.08676774671365475, -0.15682128009161558, 0.15720353487493663, 0.2968485539714838, 0.23576175891641218, 0.12132458465014773, -0.3982088662651849, -0.13686078513073252, 0.21840415321740098, 0.1051199347792386, 0.006804843625888742, 0.0853033702627852, -0.11598558123384056, 0.07757408359762409, -0.07079972146913924, -0.2596748170426822, -0.009600386537354568, 0.1651876099198928, 0.06991291306270607, -0.22156886477023363, -0.04446529844777803, 0.08851452982695453, 0.2168195373218121, 0.047619765704690384, -0.13779359368671631, -0.16654519412409644, 0.03363141288091669, -0.04351163325542263, 0.1438624878686949, 0.043844580441584874, -0.08168474970192745, -0.07098114397376776, 0.35240824327097625, -0.08235682676353588, -0.18119289041175668, 0.099008957887518, -0.14292749699108817, -0.07517147649497051, 0.1500356225136282, 0.17600545259834877, 0.24143638952378313, -0.009526533296719146, 0.19811400655428238, -0.1093290157411408, 0.023314080554349668, 0.12267218011527739, -0.0860898925698009, 0.15555405461807445, 0.07869621036686646, 0.12461157850439436, 0.17373831730721326, -0.03768081046191269, -0.01986669042500956, -0.4463281858840893, -0.23531228262160359, -0.16962715692753935, 0.1370210597243417, -0.19905321460577524, -0.23197011951485585, 0.435156998706275, -0.04289525137122335, 0.2632675041476714, 0.10979429802632537, 0.25842399712138137, 0.043002805686636086, -0.012500570065357947, 0.1472702925254045, 0.09459861149561816, 0.21293334035475836, -0.021019262807636427, -0.14959361006762703, 0.016756370366583097, 0.1736686464383042] |
711.1963 | QCD plasma instability and thermalisation at heavy ion collisions | Under suitable non-equilibrium conditions QCD plasma can develop plasma
instabilities, where some modes of the plasma grow exponentially. It has been
argued that these instabilities can play a significant role in the
thermalisation of the plasma in heavy-ion collision experiments. We study the
instability in SU(2) plasmas using the hard thermal loop effective lattice
theory, which is suitable for studying real-time evolution of long wavelength
modes in the plasma. We observe that under suitable conditions the plasma can
indeed develop an instability which can grow to a very large magnitude,
necessary for the rapid thermalisation in heavy-ion collisions.
| hep-lat | under suitable nonequilibrium conditions qcd plasma can develop plasma instabilities where some modes of the plasma grow exponentially it has been argued that these instabilities can play a significant role in the thermalisation of the plasma in heavyion collision experiments we study the instability in su2 plasmas using the hard thermal loop effective lattice theory which is suitable for studying realtime evolution of long wavelength modes in the plasma we observe that under suitable conditions the plasma can indeed develop an instability which can grow to a very large magnitude necessary for the rapid thermalisation in heavyion collisions | [['under', 'suitable', 'nonequilibrium', 'conditions', 'qcd', 'plasma', 'can', 'develop', 'plasma', 'instabilities', 'where', 'some', 'modes', 'of', 'the', 'plasma', 'grow', 'exponentially', 'it', 'has', 'been', 'argued', 'that', 'these', 'instabilities', 'can', 'play', 'a', 'significant', 'role', 'in', 'the', 'thermalisation', 'of', 'the', 'plasma', 'in', 'heavyion', 'collision', 'experiments', 'we', 'study', 'the', 'instability', 'in', 'su2', 'plasmas', 'using', 'the', 'hard', 'thermal', 'loop', 'effective', 'lattice', 'theory', 'which', 'is', 'suitable', 'for', 'studying', 'realtime', 'evolution', 'of', 'long', 'wavelength', 'modes', 'in', 'the', 'plasma', 'we', 'observe', 'that', 'under', 'suitable', 'conditions', 'the', 'plasma', 'can', 'indeed', 'develop', 'an', 'instability', 'which', 'can', 'grow', 'to', 'a', 'very', 'large', 'magnitude', 'necessary', 'for', 'the', 'rapid', 'thermalisation', 'in', 'heavyion', 'collisions']] | [-0.1579120930388798, 0.2994374495858804, -0.1690384638970908, 0.10858960276379306, -0.002707178927767946, -0.08473934018414239, -0.08314157484636205, 0.3606090339813001, -0.22342336791738562, -0.22079395143581287, 0.10229206028541703, -0.18945073411438842, -0.052218400074967315, 0.18133865873690466, 0.019429701560994193, 0.09468139820180986, 0.09922354886004207, -0.01247628862798518, -0.00857810005640649, -0.19074840858882788, 0.2845709400146972, 0.12920358824087497, 0.28833255127110347, 0.14229601554035645, 0.026394871500681857, -0.028947126400676006, 0.04328988371559476, 0.04535466972358373, -0.1454491915871159, -0.02785303717691746, 0.2794443846333354, 0.0489629446742676, 0.29124724570832844, -0.524451851141544, -0.26441483291778334, 0.07648298038853979, 0.21318001736535178, 0.14001188656001598, -0.07195634716095364, -0.17441778629067906, 0.060087779342025825, -0.17986080774619262, -0.16723613025696607, -0.10668872061128519, 0.030127571781679074, -0.011751567842723916, -0.3490774647442016, 0.07255956654559241, 0.03489188710702773, 0.012609458918094027, -0.038076048906968564, -0.017096305826716885, -0.007469186659104058, 0.05193134983146221, 0.08844486130544041, 0.03944896576137339, 0.19376320110595957, -0.1594073822251426, -0.057936971322918425, 0.41935090215078424, -0.06345463523223084, -0.10509594339801341, 0.25828556514497164, -0.18804215684495107, -0.13342762320321433, 0.16933560555762783, 0.1840263515691824, 0.11257798084038861, -0.15928923714982005, 0.041046124058585536, -0.031072659422738517, 0.11306035666660007, 0.10837864503026845, 0.07267907906171618, 0.2541051047416974, 0.19836054736634298, -0.0009796396135447584, 0.15637811572690094, -0.04327889948094986, -0.0838950738900018, -0.3230042062433703, -0.10015807377545125, -0.09964728202879886, 0.03940991814068889, -0.07836317829906522, -0.17593650581144102, 0.36581820116511415, 0.19621013022236983, 0.1450370600428052, -0.10267990870087655, 0.24891000104193783, 0.1509455407076344, 0.051913518164002775, 0.11006440380017976, 0.2928159092045128, 0.13771644788224022, 0.15399706008254874, -0.31102826465776534, 0.017713087979152952, 0.04600878074118982] |
711.1964 | Selective reflection spectroscopy of a vapour at a calcium fluoride
interface | Fluoride materials exhibit surface resonances located in the thermal
infrared. This makes them interesting to search for a fundamental temperature
dependence of the atom-surface interaction, originating in the near-field
thermal emissivity of the surface. Preliminary selective reflection experiments
performed on a special Cs vapour cell that includes a CaF2 interface show a
temperature dependence, yet to be analyzed
| physics.atom-ph | fluoride materials exhibit surface resonances located in the thermal infrared this makes them interesting to search for a fundamental temperature dependence of the atomsurface interaction originating in the nearfield thermal emissivity of the surface preliminary selective reflection experiments performed on a special cs vapour cell that includes a caf2 interface show a temperature dependence yet to be analyzed | [['fluoride', 'materials', 'exhibit', 'surface', 'resonances', 'located', 'in', 'the', 'thermal', 'infrared', 'this', 'makes', 'them', 'interesting', 'to', 'search', 'for', 'a', 'fundamental', 'temperature', 'dependence', 'of', 'the', 'atomsurface', 'interaction', 'originating', 'in', 'the', 'nearfield', 'thermal', 'emissivity', 'of', 'the', 'surface', 'preliminary', 'selective', 'reflection', 'experiments', 'performed', 'on', 'a', 'special', 'cs', 'vapour', 'cell', 'that', 'includes', 'a', 'caf2', 'interface', 'show', 'a', 'temperature', 'dependence', 'yet', 'to', 'be', 'analyzed']] | [-0.12042889786595158, 0.16293401951933728, -0.1072159983089258, -0.0004403003238559026, -0.07429414759550629, -0.16591233946383, 0.10711638523458407, 0.43042046024367725, -0.21750372092657047, -0.2747613198509247, 0.026970631294434184, -0.2832243968933371, -0.13378706489336387, 0.20117443209867283, 0.015135839308515704, 0.010754253490474718, -0.010651280306648976, -0.04086078012940185, -0.0452712247758333, -0.1105204461270879, 0.24439592003934726, 0.10117340609752412, 0.29887586645781994, 0.17046442021744262, 0.03588699681909177, -0.016741494720416337, 0.005414301296696067, 0.013301221621704513, -0.15294571131418142, 0.04792789682135757, 0.26854260052365636, -0.05562427746742193, 0.1633548208749211, -0.4143528060281071, -0.2698131146487491, 0.018761812645042765, 0.08692787430180911, 0.1189484690348136, -0.16261083760563733, -0.2342623122486061, -0.03519980879982227, -0.07459873225186663, -0.1691178356995806, -0.024457705263369555, -0.002679320871187695, -0.01263991470352329, -0.2388216421521943, 0.05385192873454171, -0.006412961367710397, 0.11459577610668052, -0.07397989398831951, -0.1664061875339469, -0.06549131642256317, 0.07227500398033138, -0.007659358422047105, -0.03017633987022644, 0.2658819880914585, -0.09270692081190646, -0.02375760175095036, 0.40327681816215144, -0.12485690691090863, -0.07689553202563447, 0.243730364431595, -0.17500789426588292, -0.08528894921443586, 0.2311863780828546, 0.16933031523086386, 0.12113727776108887, -0.18685830021598215, 0.07639473666244283, -0.02641163405095195, 0.21478279595712907, 0.11414993758682676, 0.07721061398403654, 0.24809796626454797, 0.2029432229344444, -0.020706745555046303, 0.19599979132983897, -0.14555958795796775, -0.019780056358411395, -0.24129745473378691, -0.17856049757643505, -0.17675496605706625, 0.012944339991322365, -0.07027471422795849, -0.21713403867686104, 0.36355966727795275, 0.12259907580526738, 0.17600673033277794, -0.0819387154910585, 0.29348612591174655, 0.06601373995814858, 0.09341348354817079, 0.010104552666046497, 0.3248300438361435, 0.15238947732823677, 0.12310795842445102, -0.3135628618685336, 0.02902014726965592, -0.017030840306061095] |
711.1965 | Decomposition of neuronal assembly activity via empirical
de-Poissonization | Consider a compound Poisson process with jump measure $\nu$ supported by
finitely many positive integers. We propose a method for estimating $\nu$ from
a single, equidistantly sampled trajectory and develop associated statistical
procedures. The problem is motivated by the question whether nerve cells in the
brain exhibit higher-order interactions in their firing patterns. According to
the neuronal assembly hypothesis (Hebb [13]), synchronization of action
potentials across neurons of different groups is considered a signature of
assembly activity, but it was found notoriously difficult to demonstrate it in
recordings of neuronal activity. Our approach based on a compound Poisson model
allows to detect the presence of joint spike events of any order using only
population spike count samples, thus bypassing both the ``curse of
dimensionality'' and the need to isolate single-neuron spike trains in
population signals.
| math.ST stat.TH | consider a compound poisson process with jump measure nu supported by finitely many positive integers we propose a method for estimating nu from a single equidistantly sampled trajectory and develop associated statistical procedures the problem is motivated by the question whether nerve cells in the brain exhibit higherorder interactions in their firing patterns according to the neuronal assembly hypothesis hebb 13 synchronization of action potentials across neurons of different groups is considered a signature of assembly activity but it was found notoriously difficult to demonstrate it in recordings of neuronal activity our approach based on a compound poisson model allows to detect the presence of joint spike events of any order using only population spike count samples thus bypassing both the curse of dimensionality and the need to isolate singleneuron spike trains in population signals | [['consider', 'a', 'compound', 'poisson', 'process', 'with', 'jump', 'measure', 'nu', 'supported', 'by', 'finitely', 'many', 'positive', 'integers', 'we', 'propose', 'a', 'method', 'for', 'estimating', 'nu', 'from', 'a', 'single', 'equidistantly', 'sampled', 'trajectory', 'and', 'develop', 'associated', 'statistical', 'procedures', 'the', 'problem', 'is', 'motivated', 'by', 'the', 'question', 'whether', 'nerve', 'cells', 'in', 'the', 'brain', 'exhibit', 'higherorder', 'interactions', 'in', 'their', 'firing', 'patterns', 'according', 'to', 'the', 'neuronal', 'assembly', 'hypothesis', 'hebb', '13', 'synchronization', 'of', 'action', 'potentials', 'across', 'neurons', 'of', 'different', 'groups', 'is', 'considered', 'a', 'signature', 'of', 'assembly', 'activity', 'but', 'it', 'was', 'found', 'notoriously', 'difficult', 'to', 'demonstrate', 'it', 'in', 'recordings', 'of', 'neuronal', 'activity', 'our', 'approach', 'based', 'on', 'a', 'compound', 'poisson', 'model', 'allows', 'to', 'detect', 'the', 'presence', 'of', 'joint', 'spike', 'events', 'of', 'any', 'order', 'using', 'only', 'population', 'spike', 'count', 'samples', 'thus', 'bypassing', 'both', 'the', 'curse', 'of', 'dimensionality', 'and', 'the', 'need', 'to', 'isolate', 'singleneuron', 'spike', 'trains', 'in', 'population', 'signals']] | [-0.091021876013191, 0.11780423702741111, -0.056584390599918724, 0.10479436537852625, -0.06607996026674906, -0.16465220896665145, 0.08282988619197298, 0.38960684470280454, -0.26634681667718624, -0.3021813170777427, 0.0593653197331285, -0.25062453251653266, -0.23404526162064737, 0.1655834911994774, -0.08890635133203532, 0.03892447640774427, 0.0595149301527137, 0.07000475247149114, 0.04241499774226988, -0.21303738475156328, 0.2813122073257411, 0.036638503825223004, 0.31927921796148573, -0.06622440579381805, 0.13200174163751027, -0.012797031530903445, -0.05900749691796524, -0.03156220617200705, -0.07075757378953751, 0.10296255594240157, 0.2858955014479795, 0.13252453032484346, 0.29821349363084193, -0.44641381926248197, -0.2521573900486584, 0.15202300291922358, 0.13510682103396565, 0.10015054725938373, -0.025234504438143363, -0.2983188364309845, 0.10267004723093662, -0.11799359915743547, -0.07848988473070441, -0.05837725849339256, 0.015524843866350474, 0.03173655927595165, -0.2707770496813787, 0.1260806453190054, 0.05598662577707458, 0.0670575238764286, -0.06013387729525911, -0.02811722382558165, 0.010496390771327748, 0.15627303578528678, 0.050375681630706555, -0.0014958523601914446, 0.1807833868285848, -0.08648826905560714, -0.15236235404456103, 0.32178391808712925, -0.01439869422206862, -0.22436069604181857, 0.2087382921612718, -0.16862332936790253, -0.15205133803257787, 0.16985757834519502, 0.16649465862385654, 0.08060348158771241, -0.18276978648371167, 0.03693820765604162, 0.018227755568093723, 0.20766723439511325, 0.08411225314700493, -0.047110893784297836, 0.2068580617783246, 0.19442367290526077, 0.03289254563645011, 0.1334607673705452, -0.1240559806723872, -0.05599644813445155, -0.23179342241190304, -0.054165414625916765, -0.17478672312917531, 0.06679092492020033, -0.059196803013199115, -0.20026531351419788, 0.4124918035559218, 0.14195151415963966, 0.23590776669551378, 0.09886757575160893, 0.22126996013577338, 0.07084490673150867, 0.058659653592406324, 0.010597150112260824, 0.10026598742093754, 0.15873820174968353, 0.06563943441681287, -0.21672808509664954, 0.1273355937666363, 0.025757311422515798] |
711.1966 | Photometric Analysis of Recently Discovered Eclipsing Binary GSC
00008-00901 | Photometric analysis of $BVR_C$ light curves of newly discovered eclipsing
binary GSC 0008-00901 is presented. The orbital period is improved to
0.28948(11) days. Photometric parameters are determined, as well. The analysis
yielded to conclusion that system is an over-contact binary of W UMa type with
components not in thermal contact. The light curves from 2005 show the presence
of a spot on the surface of one of the components, while light curves from 2006
are not affected by maculation.
| astro-ph | photometric analysis of bvr_c light curves of newly discovered eclipsing binary gsc 000800901 is presented the orbital period is improved to 02894811 days photometric parameters are determined as well the analysis yielded to conclusion that system is an overcontact binary of w uma type with components not in thermal contact the light curves from 2005 show the presence of a spot on the surface of one of the components while light curves from 2006 are not affected by maculation | [['photometric', 'analysis', 'of', 'bvr_c', 'light', 'curves', 'of', 'newly', 'discovered', 'eclipsing', 'binary', 'gsc', '000800901', 'is', 'presented', 'the', 'orbital', 'period', 'is', 'improved', 'to', '02894811', 'days', 'photometric', 'parameters', 'are', 'determined', 'as', 'well', 'the', 'analysis', 'yielded', 'to', 'conclusion', 'that', 'system', 'is', 'an', 'overcontact', 'binary', 'of', 'w', 'uma', 'type', 'with', 'components', 'not', 'in', 'thermal', 'contact', 'the', 'light', 'curves', 'from', '2005', 'show', 'the', 'presence', 'of', 'a', 'spot', 'on', 'the', 'surface', 'of', 'one', 'of', 'the', 'components', 'while', 'light', 'curves', 'from', '2006', 'are', 'not', 'affected', 'by', 'maculation']] | [-0.1457093666195808, 0.12009118901934064, -0.14952957551730306, -0.006323938804837924, -0.1079983388956048, -0.16226768205064887, 0.08821335697154466, 0.35367230232805014, -0.21428047302699843, -0.34355023765544357, 0.10841665777996623, -0.3213693443624499, -0.12723275717641963, 0.3121432309578124, -0.1284301500910308, 0.02094113237322553, 0.16502642662166372, -0.027738587805192526, -0.05193042763398568, -0.330273771119353, 0.2936254652511132, 0.008419987770091546, 0.14630369532020077, -0.0560906423794988, 0.060324749039289985, 0.07127148101388134, -0.08706446898385796, -0.04137954363403352, -0.0750037609071258, 0.047659429026105884, 0.16223713163727602, 0.08999749002855663, 0.08670015906375882, -0.2637693267560711, -0.2524147916977343, 0.05792957255126614, 0.10855484951140457, 0.017816422761442435, 0.01839638911157013, -0.26175916238111985, 0.08664383611788876, -0.13098254145466184, -0.2016626454730469, 0.006878883871985109, 0.10982559605403558, 0.08714699583345607, -0.19447828753312169, 0.08353139607137755, 0.05685281006797021, 0.15060503817604562, -0.12688054085562103, -0.1421400919651588, -0.10186525972523286, 0.06418345882067163, 0.06261810689159718, 0.07789273080906194, 0.061256924607349855, -0.07553725918803952, -0.049147061930087055, 0.3668317603633592, -0.11390289005296501, -0.04802390165423276, 0.19256680836214832, -0.12886458630428502, -0.10791534220946855, 0.17008971296691974, 0.17475083690920942, 0.1085942524583324, -0.1906192749187252, 0.0024199037518548338, 0.009309905696059823, 0.262128157623872, 0.03492812090553343, 0.041327986902998465, 0.3058945195087673, 0.12873470267329953, -0.05316258451497752, 0.10481062002547428, -0.21493112635002226, -0.049589941578329, -0.23347452038203637, -0.11204102566147126, -0.15609193592650913, 0.03400961302969862, -0.06907314676056175, -0.14167799334973097, 0.40236269405393515, 0.01797750777270841, 0.19551947017469884, -0.043755597336904, 0.26563437714388494, 0.09718557575711441, 0.053364273288791175, 0.11031119708633541, 0.3699777903231351, 0.1466004995806878, 0.07215454514861401, -0.22426860802806914, 0.11268075021277917, 0.03180869890523976] |
711.1967 | Radiation Driven Inflation | A novel scalar field free approach to cosmic inflation is presented. The
inflationary Universe and the radiation dominated Universe are shown, within
the framework of unified brane cosmology, to be two different phases governed
by one and the same energy density. The phase transition of second order (the
Hubble constant exhibits a finite jump) appears naturally and serves as the
exit mechanism. No re-heating is needed. The required number of e-folds is
achieved without fine tuning.
| gr-qc hep-th | a novel scalar field free approach to cosmic inflation is presented the inflationary universe and the radiation dominated universe are shown within the framework of unified brane cosmology to be two different phases governed by one and the same energy density the phase transition of second order the hubble constant exhibits a finite jump appears naturally and serves as the exit mechanism no reheating is needed the required number of efolds is achieved without fine tuning | [['a', 'novel', 'scalar', 'field', 'free', 'approach', 'to', 'cosmic', 'inflation', 'is', 'presented', 'the', 'inflationary', 'universe', 'and', 'the', 'radiation', 'dominated', 'universe', 'are', 'shown', 'within', 'the', 'framework', 'of', 'unified', 'brane', 'cosmology', 'to', 'be', 'two', 'different', 'phases', 'governed', 'by', 'one', 'and', 'the', 'same', 'energy', 'density', 'the', 'phase', 'transition', 'of', 'second', 'order', 'the', 'hubble', 'constant', 'exhibits', 'a', 'finite', 'jump', 'appears', 'naturally', 'and', 'serves', 'as', 'the', 'exit', 'mechanism', 'no', 'reheating', 'is', 'needed', 'the', 'required', 'number', 'of', 'efolds', 'is', 'achieved', 'without', 'fine', 'tuning']] | [-0.162608005337748, 0.24710643728949913, -0.10405846420479448, 0.11272985672449547, -0.11677132265054081, -0.14283691943427057, -0.033206357976029575, 0.3144266838606104, -0.23606101826053896, -0.33969208969440506, 0.0550835612689537, -0.18507088050491324, -0.05488601822013918, 0.14364702017720496, -0.004432755439713793, 0.01159102351735591, -0.05036327213747427, 0.04661429511677278, -0.005290295705076699, -0.2680467462418356, 0.31313998834842716, 0.10498911187996303, 0.2667942788807283, 0.02323588113741655, 0.126339816408673, -0.09695411936416731, -0.018763236640217274, 0.015404728106468132, -0.17658407673987217, 0.039148544540359195, 0.1918747223190669, 0.10719074362790898, 0.24791499164788738, -0.4103424994299482, -0.2624308267871751, 0.16589414872731523, 0.15856769592133596, 0.1456257199170068, -0.041609041539854126, -0.244808943894704, 0.036118949371341025, -0.14590042273170853, -0.11514157266968764, -0.03784329132854749, -0.0666760058175944, -0.09329995967594809, -0.2887846607053162, 0.10276420885010769, -0.0369219535251001, -0.03594653549493829, -0.0544149040835787, -0.03682755193011345, -0.03578341580731304, 0.06072459352129188, 0.10584174062578793, 0.055206711563330735, 0.1697272761651364, -0.12844609898073892, -0.046927568663561126, 0.42779972960584256, -0.14491941137269973, -0.06667174532470342, 0.10407268170782022, -0.13826470962732473, -0.08742683188450572, 0.1729312964231021, 0.03876372090981979, 0.11240632925488937, -0.12824242668820693, 0.15459417426532845, 0.1135816829398544, 0.17191642731134044, 0.08350843694796295, 0.004284985270044815, 0.29069091955591975, 0.1867690146533086, 0.055532989214713634, 0.12087364106187842, -0.03093939602350522, -0.14892819417812125, -0.4219564102394016, -0.11771901432228715, -0.2170704176379858, 0.023163053807557413, -0.18245370294780036, -0.1781123977435575, 0.40989987607310086, 0.09310830432743962, 0.21138956124502184, 0.008082153588092248, 0.27777503955937727, 0.11269800945056456, 0.032520235574338585, 0.06962901761289686, 0.2672222293423195, 0.12763206344281666, 0.14773122142804296, -0.23542614432862088, 0.0297828164735907, 0.0647008555702326] |
711.1968 | Ring surface waves in thermal nonlinear media | We address ring-shaped surface waves supported by defocusing thermal media
with circular cross-section. Such waves exist because of the balance between
repulsion from the interface and deflection of light from the bulk medium due
to defocusing nonlocal nonlinearity. The properties of such surface waves are
determined by the geometry of the sample. Nodeless ring surface waves are
stable for all values of their winding number, while surface waves with a small
number of azimuthal nodes can be metastable.
| physics.optics nlin.PS | we address ringshaped surface waves supported by defocusing thermal media with circular crosssection such waves exist because of the balance between repulsion from the interface and deflection of light from the bulk medium due to defocusing nonlocal nonlinearity the properties of such surface waves are determined by the geometry of the sample nodeless ring surface waves are stable for all values of their winding number while surface waves with a small number of azimuthal nodes can be metastable | [['we', 'address', 'ringshaped', 'surface', 'waves', 'supported', 'by', 'defocusing', 'thermal', 'media', 'with', 'circular', 'crosssection', 'such', 'waves', 'exist', 'because', 'of', 'the', 'balance', 'between', 'repulsion', 'from', 'the', 'interface', 'and', 'deflection', 'of', 'light', 'from', 'the', 'bulk', 'medium', 'due', 'to', 'defocusing', 'nonlocal', 'nonlinearity', 'the', 'properties', 'of', 'such', 'surface', 'waves', 'are', 'determined', 'by', 'the', 'geometry', 'of', 'the', 'sample', 'nodeless', 'ring', 'surface', 'waves', 'are', 'stable', 'for', 'all', 'values', 'of', 'their', 'winding', 'number', 'while', 'surface', 'waves', 'with', 'a', 'small', 'number', 'of', 'azimuthal', 'nodes', 'can', 'be', 'metastable']] | [-0.21513110696553037, 0.21329420956615835, -0.030572841893165156, 0.022906630395505674, -0.08903266083246145, -0.10784606707807726, -0.025063181230320763, 0.3343523632830534, -0.28825548372398585, -0.3117438065341841, 0.052528306716479935, -0.33244295838551646, -0.11270930244623181, 0.19566980965483266, 0.04230018644235455, 0.06317877808144728, 0.016120092943310738, -0.06413670017336233, 0.008139182256761556, -0.15439119832351422, 0.37475050401945526, -0.007265853420950663, 0.2657525323283596, 0.07317508588162944, 0.024972549078460686, 0.015360584858661661, 0.028489122179169685, 0.0742612670098121, -0.13436574826781184, 0.06377585526878157, 0.20548521521954966, -0.01025243646178681, 0.17376139741510344, -0.5353039140235267, -0.25315376355623204, 0.07990768770926082, 0.11791601192313604, 0.16168398042030346, -0.07207738981844905, -0.31304564422521836, 0.03371714915817556, -0.091555388405537, -0.20698694822688898, -0.009446821778487319, 0.05663684041549762, 0.12312148376412761, -0.17977087806241634, 0.13242674523439163, 0.029021343622261133, 0.037043849973437876, -0.07875868331831999, -0.05040949510219388, -0.1792375267459414, 0.04439250670092849, 0.10526793996970622, -0.015139180346010014, 0.11126096537694909, -0.16470270458226785, -0.007811123911195841, 0.3869598727995673, -0.06643387463349754, -0.19515599749306253, 0.1867357780918097, -0.1882588994504215, 0.0444439999663677, 0.2513292718332452, 0.2192310449347879, 0.10171481066246112, -0.0766615330432661, 0.06979200067162776, -0.030931191369652365, 0.16416933136478734, 0.19306520376808178, 0.07517853457456788, 0.30401662889963543, 0.1311901793576395, 0.062497850072059706, 0.10503687985235444, -0.12209739494256866, 0.006312210229225457, -0.28610180098658955, -0.12932462335970157, -0.20154530276657823, 0.014418609547786988, -0.10324488378421684, -0.18539979301679593, 0.3830033553740344, 0.06253511560722612, 0.18680524534713, -0.02003762141490976, 0.25147823788798773, 0.10743363808768873, 0.03905204669811214, 0.10921973822853313, 0.3129074533875936, 0.1657383880422761, 0.06996508528036663, -0.24242260266402857, 0.035105207166336, 0.021217027607445534] |
711.1969 | Interacting Q-balls | We study non-topological solitons, so called Q-balls, which carry a
non-vanishing Noether charge and arise as lump solutions of self-interacting
complex scalar field models. Explicit examples of new axially symmetric
non-spinning Q-ball solutions that have not been studied so far are constructed
numerically. These solutions can be interpreted as angular excitations of the
fundamental $Q$-balls and are related to the spherical harmonics.
Correspondingly, they have higher energy and their energy densities possess two
local maxima on the positive z-axis.
We also study two Q-balls interacting via a potential term in (3+1)
dimensions and construct examples of stationary, solitonic-like objects in
(3+1)-dimensional flat space-time that consist of two interacting global scalar
fields. We concentrate on configurations composed of one spinning and one
non-spinning Q-ball and study the parameter-dependence of the energy and
charges of the configuration.
In addition, we present numerical evidence that for fixed values of the
coupling constants two different types of 2-Q-ball solutions exist: solutions
with defined parity, but also solutions which are asymmetric with respect to
reflexion through the x-y-plane.
| hep-th | we study nontopological solitons so called qballs which carry a nonvanishing noether charge and arise as lump solutions of selfinteracting complex scalar field models explicit examples of new axially symmetric nonspinning qball solutions that have not been studied so far are constructed numerically these solutions can be interpreted as angular excitations of the fundamental qballs and are related to the spherical harmonics correspondingly they have higher energy and their energy densities possess two local maxima on the positive zaxis we also study two qballs interacting via a potential term in 31 dimensions and construct examples of stationary solitoniclike objects in 31dimensional flat spacetime that consist of two interacting global scalar fields we concentrate on configurations composed of one spinning and one nonspinning qball and study the parameterdependence of the energy and charges of the configuration in addition we present numerical evidence that for fixed values of the coupling constants two different types of 2qball solutions exist solutions with defined parity but also solutions which are asymmetric with respect to reflexion through the xyplane | [['we', 'study', 'nontopological', 'solitons', 'so', 'called', 'qballs', 'which', 'carry', 'a', 'nonvanishing', 'noether', 'charge', 'and', 'arise', 'as', 'lump', 'solutions', 'of', 'selfinteracting', 'complex', 'scalar', 'field', 'models', 'explicit', 'examples', 'of', 'new', 'axially', 'symmetric', 'nonspinning', 'qball', 'solutions', 'that', 'have', 'not', 'been', 'studied', 'so', 'far', 'are', 'constructed', 'numerically', 'these', 'solutions', 'can', 'be', 'interpreted', 'as', 'angular', 'excitations', 'of', 'the', 'fundamental', 'qballs', 'and', 'are', 'related', 'to', 'the', 'spherical', 'harmonics', 'correspondingly', 'they', 'have', 'higher', 'energy', 'and', 'their', 'energy', 'densities', 'possess', 'two', 'local', 'maxima', 'on', 'the', 'positive', 'zaxis', 'we', 'also', 'study', 'two', 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-0.10648208290164234, 0.0681487275832142] |
711.197 | Accretion and Outflow-Related X-Rays in T Tauri Stars | We report on accretion- and outflow-related X-rays from T Tauri stars, based
on results from the "XMM-Newton Extended Survey of the Taurus Molecular Cloud."
X-rays potentially form in shocks of accretion streams near the stellar
surface, although we hypothesize that direct interactions between the streams
and magnetic coronae may occur as well. We report on the discovery of a "soft
excess" in accreting T Tauri stars supporting these scenarios. We further
discuss a new type of X-ray source in jet-driving T Tauri stars. It shows a
strongly absorbed coronal component and a very soft, weakly absorbed component
probably related to shocks in microjets. The excessive coronal absorption
points to dust-depletion in the accretion streams.
| astro-ph | we report on accretion and outflowrelated xrays from t tauri stars based on results from the xmmnewton extended survey of the taurus molecular cloud xrays potentially form in shocks of accretion streams near the stellar surface although we hypothesize that direct interactions between the streams and magnetic coronae may occur as well we report on the discovery of a soft excess in accreting t tauri stars supporting these scenarios we further discuss a new type of xray source in jetdriving t tauri stars it shows a strongly absorbed coronal component and a very soft weakly absorbed component probably related to shocks in microjets the excessive coronal absorption points to dustdepletion in the accretion streams | [['we', 'report', 'on', 'accretion', 'and', 'outflowrelated', 'xrays', 'from', 't', 'tauri', 'stars', 'based', 'on', 'results', 'from', 'the', 'xmmnewton', 'extended', 'survey', 'of', 'the', 'taurus', 'molecular', 'cloud', 'xrays', 'potentially', 'form', 'in', 'shocks', 'of', 'accretion', 'streams', 'near', 'the', 'stellar', 'surface', 'although', 'we', 'hypothesize', 'that', 'direct', 'interactions', 'between', 'the', 'streams', 'and', 'magnetic', 'coronae', 'may', 'occur', 'as', 'well', 'we', 'report', 'on', 'the', 'discovery', 'of', 'a', 'soft', 'excess', 'in', 'accreting', 't', 'tauri', 'stars', 'supporting', 'these', 'scenarios', 'we', 'further', 'discuss', 'a', 'new', 'type', 'of', 'xray', 'source', 'in', 'jetdriving', 't', 'tauri', 'stars', 'it', 'shows', 'a', 'strongly', 'absorbed', 'coronal', 'component', 'and', 'a', 'very', 'soft', 'weakly', 'absorbed', 'component', 'probably', 'related', 'to', 'shocks', 'in', 'microjets', 'the', 'excessive', 'coronal', 'absorption', 'points', 'to', 'dustdepletion', 'in', 'the', 'accretion', 'streams']] | [-0.10391281714270774, 0.1653649231843781, -0.0571481920804281, 0.11646706611734994, -0.14097840696769326, -0.053421522302781806, 0.11894946261064003, 0.43213317372525734, -0.22391888435537877, -0.32434734476632193, 0.06207467392066559, -0.3241557578000714, -0.04321657898100583, 0.2201016346450176, -0.05426964594312666, -0.041068109828701016, 0.08404120189145926, -0.08093032178779443, 0.01279675855358507, -0.19747157004384094, 0.305357610181601, 0.03382292838375035, 0.0831661444124684, 0.007542465462169626, 0.035580061784569635, -0.10606521778135446, -0.07868678950769224, -0.034222066461664154, -0.0964995594514588, 0.035476959232861795, 0.24259189864326464, 0.10294244377547059, 0.17071981320112714, -0.4035285553698869, -0.2647281051123221, -0.017694192064370503, 0.21742589516042357, -0.05965948154283851, -0.09372251800245099, -0.22670731401855224, 0.05912882336435774, -0.2056878819375446, -0.10828190650219065, 0.05525417205379263, 0.04405577252710875, 0.050351890935480856, -0.23128262142601766, 0.12160638291204937, 0.08990662032431972, 0.08753819331494078, -0.162219725112153, -0.031659586667573375, -0.022362440732601834, 0.010508867613807843, 0.08346426974687922, 0.05826466305287588, 0.22465518536863097, -0.19841267640718765, -0.07837190883430212, 0.3705654976677084, -0.10898156097085264, 0.027033032628854637, 0.32604412376888814, -0.24773680055187197, -0.22161166392789597, 0.15905696574471923, 0.172379356686418, 0.1942252777108367, -0.136137743619385, -0.008070359161233921, -0.04544638524550879, 0.20500431904618285, 0.06379811883201464, 0.060216141219267195, 0.38276051979904113, 0.09246588627942592, -0.011082257397407503, 0.18390282043950273, -0.24738632724824638, -0.025139764776420697, -0.2461444332199008, -0.11340108970404815, -0.10033457914751284, 0.09843150792202275, -0.08471639214424118, -0.16753228644333912, 0.2834884617743164, 0.12546123009228163, 0.24751524596368862, -0.045417737673249164, 0.299992731645736, 0.0766555240138826, 0.08454660468391682, 0.22606646740122846, 0.279259223303055, 0.1764116037265283, 0.16973691168567984, -0.24302803775655074, 0.09153417500324156, 0.016975469789222666] |
711.1971 | On the dyon partition function in N=2 theories | We study the entropy function of two N =2 string compactifications obtained
as freely acting orbifolds of N=4 theories : the STU model and the FHSV model.
The Gauss-Bonnet term for these compactifications is known precisely. We apply
the entropy function formalism including the contribution of this four
derivative term and evaluate the entropy of dyons to the first subleading order
in charges for these models. We then propose a partition function involving the
product of three Siegel modular forms of weight zero which reproduces the
degeneracy of dyonic black holes in the STU model to the first subleading order
in charges. The proposal is invariant under all the duality symmetries of the
STU model. For the FHSV model we write down an approximate partition function
involving a Siegel modular form of weight four which captures the entropy of
dyons in the FHSV model in the limit when electric charges are much larger than
magnetic charges.
| hep-th | we study the entropy function of two n 2 string compactifications obtained as freely acting orbifolds of n4 theories the stu model and the fhsv model the gaussbonnet term for these compactifications is known precisely we apply the entropy function formalism including the contribution of this four derivative term and evaluate the entropy of dyons to the first subleading order in charges for these models we then propose a partition function involving the product of three siegel modular forms of weight zero which reproduces the degeneracy of dyonic black holes in the stu model to the first subleading order in charges the proposal is invariant under all the duality symmetries of the stu model for the fhsv model we write down an approximate partition function involving a siegel modular form of weight four which captures the entropy of dyons in the fhsv model in the limit when electric charges are much larger than magnetic charges | [['we', 'study', 'the', 'entropy', 'function', 'of', 'two', 'n', '2', 'string', 'compactifications', 'obtained', 'as', 'freely', 'acting', 'orbifolds', 'of', 'n4', 'theories', 'the', 'stu', 'model', 'and', 'the', 'fhsv', 'model', 'the', 'gaussbonnet', 'term', 'for', 'these', 'compactifications', 'is', 'known', 'precisely', 'we', 'apply', 'the', 'entropy', 'function', 'formalism', 'including', 'the', 'contribution', 'of', 'this', 'four', 'derivative', 'term', 'and', 'evaluate', 'the', 'entropy', 'of', 'dyons', 'to', 'the', 'first', 'subleading', 'order', 'in', 'charges', 'for', 'these', 'models', 'we', 'then', 'propose', 'a', 'partition', 'function', 'involving', 'the', 'product', 'of', 'three', 'siegel', 'modular', 'forms', 'of', 'weight', 'zero', 'which', 'reproduces', 'the', 'degeneracy', 'of', 'dyonic', 'black', 'holes', 'in', 'the', 'stu', 'model', 'to', 'the', 'first', 'subleading', 'order', 'in', 'charges', 'the', 'proposal', 'is', 'invariant', 'under', 'all', 'the', 'duality', 'symmetries', 'of', 'the', 'stu', 'model', 'for', 'the', 'fhsv', 'model', 'we', 'write', 'down', 'an', 'approximate', 'partition', 'function', 'involving', 'a', 'siegel', 'modular', 'form', 'of', 'weight', 'four', 'which', 'captures', 'the', 'entropy', 'of', 'dyons', 'in', 'the', 'fhsv', 'model', 'in', 'the', 'limit', 'when', 'electric', 'charges', 'are', 'much', 'larger', 'than', 'magnetic', 'charges']] | [-0.1469045597984786, 0.12636688525362255, -0.04756028064181127, 0.13736242359098527, -0.045836078925358674, -0.12202472862817587, -0.012064822655050985, 0.24956415028146078, -0.19240555582988647, -0.2771329863507661, 0.058180091969458565, -0.3336481955923861, -0.13993316672502026, 0.12605971169748134, -0.03734065442376079, 0.040092152206888124, -0.07873868867604723, 0.08505339788333062, -0.1056516524344202, -0.2757754624858799, 0.364756909649699, -0.021203610574406, 0.2634610712408058, 0.06011741579953401, 0.08628177523853317, -0.002377940705346484, 0.024285243715970746, -0.027023238908018797, -0.14407325228976628, 0.1196770307758162, 0.18742679610142893, 0.053018396708273116, 0.12437512449199153, -0.44455713362943744, -0.17998191673428782, 0.11043924627480127, 0.13102067655718494, 0.09734076861772806, 0.02971536105558757, -0.188882119521018, 0.039696650958109286, -0.24627760530960174, -0.15473585742856225, -0.11167933251708746, 0.0322267182952454, -0.036649366541795673, -0.283678837312806, 0.07479773355017026, 0.06535028866341998, -0.006360817694615933, -0.11980629289943365, -0.0996833537359752, -0.08602489535847017, 0.10799661027211245, 0.14060238860397328, 0.051314579597824525, 0.10595416995967108, -0.19097595017120775, -0.11924482699363462, 0.33057262825989914, -0.07024928864153598, -0.25055357417271984, 0.09967038541311218, -0.16516727187084934, -0.18096042087662123, 0.0581384409375225, 0.11453288186101183, 0.21361787566434473, -0.12397077073570296, 0.1788292179838003, -0.041246964641275904, 0.12590633226979164, 0.0869354858363588, 0.01819023425059934, 0.24653367242745816, 0.08015760320779537, 0.017133433419850564, 0.23542893460290806, -0.039502513823249645, -0.13941259569593614, -0.4059336323170893, -0.17198681858982684, -0.1311176745619084, 0.09492082697219185, -0.1566864651625961, -0.19090723298760431, 0.41213842018867936, 0.12008349631702708, 0.1864198482505256, 0.10582598965885417, 0.2205563058247912, 0.14222415042628023, 0.11522458270492573, 0.05180398101858314, 0.19271652362039013, 0.14293275397691516, 0.036605918873101474, -0.23156690385883613, -0.08651853741649838, 0.22037893038002715] |
711.1972 | Wave equations on space-times of low regularity: Existence results and
regularity theory in the framework of generalized function algebras | We present recent developments concerning Lorentzian geometry in algebras of
generalized functions. These have, in particular, raised a new interest in
refined regularity theory for the wave equation on singular space-times.
| math.AP math-ph math.MP | we present recent developments concerning lorentzian geometry in algebras of generalized functions these have in particular raised a new interest in refined regularity theory for the wave equation on singular spacetimes | [['we', 'present', 'recent', 'developments', 'concerning', 'lorentzian', 'geometry', 'in', 'algebras', 'of', 'generalized', 'functions', 'these', 'have', 'in', 'particular', 'raised', 'a', 'new', 'interest', 'in', 'refined', 'regularity', 'theory', 'for', 'the', 'wave', 'equation', 'on', 'singular', 'spacetimes']] | [-0.14033495474065985, 0.04526139056730655, -0.08940129324553474, 0.0938092514331783, -0.11096930948476638, -0.10132910565082584, -0.0723896786953593, 0.3102784064267912, -0.21208547031687153, -0.1721984352916479, 0.1317940901912328, -0.259800071587726, -0.22297850122014362, 0.22849126262289862, -0.1693289947185305, 0.1289112632793765, 0.04134881114887615, 0.01733335531166484, -0.16792928673807653, -0.2637297621056918, 0.4639689775874778, 0.004328507603326392, 0.24181643630107563, 0.10656234913415485, 0.07031523941024657, 0.05977089584414517, -0.0692576970153999, 0.04414072284294713, -0.27835183431424443, 0.16989858081984904, 0.26586672585577736, 0.10424799410506122, 0.27575145998308737, -0.46579858011776404, -0.3119663329374406, 0.0274028793698357, 0.13285540410828206, 0.10914242399796363, -0.11502955215907987, -0.309362314881817, 0.013526869847649527, -0.15306479892423075, -0.2474560178515892, -0.10144131650186834, 0.05469180479825985, 0.02591183258881492, -0.14700076960387728, 0.09918983438382706, 0.053450606613149564, 0.06387079588227695, -0.11973268064039369, -0.12225605460304406, 0.0511145755017717, -0.001719219024263082, 0.03751401290778191, 0.031024135904566895, 0.0018533740583206377, -0.11022189980553042, -0.1747721862648764, 0.2587689112105797, -0.02011780191453234, -0.2748662423823149, 0.09980736808070252, -0.18878336747988098, -0.2731398681719457, 0.0548495422568052, 0.22015970936345478, 0.1830378055812851, -0.07126215881397648, 0.201756356178873, -0.09820808243380123, -0.00645092622407021, 0.15686004557797023, 0.0642721663799978, 0.19648740098120704, 0.08542105921303793, 0.036991485161706805, 0.11839324103728417, 0.06375484594384269, -0.10551537779693101, -0.35765511927104765, -0.10687376243332701, -0.0998582718593459, 0.14593383787160424, -0.10795187771380428, -0.21797445752928335, 0.41357795719898516, 0.14987312802564232, 0.137307521136057, 0.0010941607216673514, 0.17089082036287553, 0.14097922006922384, 0.0015832896554662335, 0.03641423447838714, 0.23958015399834803, 0.2619477320582636, 0.17260120798563283, -0.08222179715671847, -0.04534684492260097, 0.16378009490548603] |
711.1973 | The Commutativity of Integrals of Motion for Quantum Spin Chains and
Elliptic Functions Identities | We prove the commutativity of the first two nontrivial integrals of motion
for quantum spin chains with elliptic form of the exchange interaction. We also
show thair linear independence for the numbers of spins larger than 4. As a
byproduct, we obtained several identities between elliptic Weierstrass
functions of three and four arguments.
| math-ph math.MP | we prove the commutativity of the first two nontrivial integrals of motion for quantum spin chains with elliptic form of the exchange interaction we also show thair linear independence for the numbers of spins larger than 4 as a byproduct we obtained several identities between elliptic weierstrass functions of three and four arguments | [['we', 'prove', 'the', 'commutativity', 'of', 'the', 'first', 'two', 'nontrivial', 'integrals', 'of', 'motion', 'for', 'quantum', 'spin', 'chains', 'with', 'elliptic', 'form', 'of', 'the', 'exchange', 'interaction', 'we', 'also', 'show', 'thair', 'linear', 'independence', 'for', 'the', 'numbers', 'of', 'spins', 'larger', 'than', '4', 'as', 'a', 'byproduct', 'we', 'obtained', 'several', 'identities', 'between', 'elliptic', 'weierstrass', 'functions', 'of', 'three', 'and', 'four', 'arguments']] | [-0.22923340771992046, 0.14163896385938501, -0.0726787296231263, 0.1159886323954337, -0.05918594034245381, -0.11449017969425768, -0.020919078270358462, 0.31952998128074867, -0.282344246802565, -0.29538712072042894, 0.07973345004631063, -0.3291833307594061, -0.12856301604411924, 0.2586289096954995, 0.06109636747994675, 0.05832600471778558, 0.019614000513684005, 0.06743333725115427, -0.14904376552798426, -0.26465905271470547, 0.3678992959363453, -0.13369854632093428, 0.165097558564202, 0.06574491218018991, 0.12986865501779205, 0.08301620357311688, 0.007262248398127178, -0.014236549112515954, -0.1328238199214236, 0.1563904527306127, 0.2136338693772604, 0.01923193262728791, 0.2126418428423886, -0.4274486688753733, -0.11199153069621669, 0.0948692407602301, 0.13458800548687577, 0.10229922471066508, -0.01877988729840861, -0.21077160651867205, 0.045424669748172164, -0.22188942822126242, -0.15872608889968923, -0.09278146242901969, 0.01434666990266683, 0.07459652678181346, -0.27382967822128335, 0.09126080563146388, 0.12031797357261755, 0.1271390372600693, -0.042250059933464326, -0.15411172033502504, -0.03910075016140651, 0.09696303570392327, 0.05995699818819188, -0.061056235840973944, 0.026025794596465018, -0.12392458909800133, -0.18429085272006118, 0.3165263486846995, -0.06063248961184469, -0.24272965600427526, 0.13616699925086534, -0.17309247677286083, -0.17972229714415824, 0.06726036087582962, 0.11432125594896766, 0.16617934502517948, -0.12003359916763237, 0.03461190499253392, -0.0530391408291717, 0.12393418892931479, 0.11041074462879735, 0.03773601635251767, 0.11975099178604208, 0.05184724611731676, 0.07014885932529488, 0.1921666716762747, -0.036776427466135755, -0.13895875550448322, -0.35870557536299413, -0.2049874977691126, -0.15662014372467709, 0.12651083103488558, -0.16505829589592536, -0.1475568823516369, 0.3941370762589101, 0.11157663590991153, 0.19140700525783289, 0.09938123770273076, 0.2025504820765211, 0.11818579048625767, 0.052250632658027686, 0.029298668324302595, 0.19345768236626798, 0.18849147204309702, 0.012778065686758894, -0.2022001083734302, -0.031188072215837356, 0.15485467600564545] |
711.1974 | Baby Skyrmions on the Two-Sphere | We find the static multi-soliton solutions of the baby Skyrme model on the
two-sphere for topological charges 1 =< B =< 14. Numerical full-field results
show that the charge-one Skyrmion is spherical, the charge-two Skyrmion is
toroidal, and Skyrmions with higher charge all have point symmetries which are
subgroups of O(3). We find that a rational map ansatz yields very good
approximations to the full-field solutions. We point out a strong connection
between the discrete symmetries of our solutions and those of corresponding
solutions of the 3D Skyrme model.
| hep-th | we find the static multisoliton solutions of the baby skyrme model on the twosphere for topological charges 1 b 14 numerical fullfield results show that the chargeone skyrmion is spherical the chargetwo skyrmion is toroidal and skyrmions with higher charge all have point symmetries which are subgroups of o3 we find that a rational map ansatz yields very good approximations to the fullfield solutions we point out a strong connection between the discrete symmetries of our solutions and those of corresponding solutions of the 3d skyrme model | [['we', 'find', 'the', 'static', 'multisoliton', 'solutions', 'of', 'the', 'baby', 'skyrme', 'model', 'on', 'the', 'twosphere', 'for', 'topological', 'charges', '1', 'b', '14', 'numerical', 'fullfield', 'results', 'show', 'that', 'the', 'chargeone', 'skyrmion', 'is', 'spherical', 'the', 'chargetwo', 'skyrmion', 'is', 'toroidal', 'and', 'skyrmions', 'with', 'higher', 'charge', 'all', 'have', 'point', 'symmetries', 'which', 'are', 'subgroups', 'of', 'o3', 'we', 'find', 'that', 'a', 'rational', 'map', 'ansatz', 'yields', 'very', 'good', 'approximations', 'to', 'the', 'fullfield', 'solutions', 'we', 'point', 'out', 'a', 'strong', 'connection', 'between', 'the', 'discrete', 'symmetries', 'of', 'our', 'solutions', 'and', 'those', 'of', 'corresponding', 'solutions', 'of', 'the', '3d', 'skyrme', 'model']] | [-0.1539054143017736, 0.06949861770383371, -0.09193645729201622, 0.0816380187906539, -0.06561536925855553, -0.1223275254469836, 0.028921703398548836, 0.362722956671797, -0.18579535403599343, -0.25636757503467045, 0.07493029563184614, -0.32100928716104604, -0.13908690830221634, 0.14256935307070956, 0.0044375648661837755, 0.053528551472586464, 0.012532274286937097, 0.034468076349739196, -0.11849045604146247, -0.20145656320202196, 0.30140549709870557, -0.05807977433091607, 0.3135366475359462, 0.01769287953816954, 0.09759535722905534, -0.079456457263394, 0.05627018561179953, 0.01621132048018191, -0.17863892920762864, 0.08358445785532909, 0.1812071266755376, 0.00585076701024483, 0.1252099180422809, -0.4722705744313954, -0.19687270027339115, 0.10041163050390288, 0.13339512938119727, 0.1931777692001163, -0.08922566599399921, -0.29554853342666193, 0.14219988852032814, -0.18906513928039664, -0.1918851794653583, -0.17547939213570848, 0.03266598395575052, 0.08612016804687593, -0.2395266187377274, 0.0765557630581717, 0.053949684758360185, 0.030608606348135347, -0.1727368227773528, -0.10283094145164921, -0.11654245689372136, 0.07507489236264393, 0.09231185087473827, 0.05435756435510756, 0.08372477880925283, -0.18093849029177908, -0.1266790873922365, 0.3884932084876145, 0.0031874905415307515, -0.2685152590488908, 0.15521384827824758, -0.13838770103523101, -0.1176044471915169, 0.15271037383187006, 0.06828482960324551, 0.14655071523725643, -0.06792340631029387, 0.12280681773072816, -0.12216678637229762, 0.1687695535613042, 0.05810838401981298, -0.011311795166426006, 0.23454672743127436, 0.12433887541765111, 0.0779065324459225, 0.13423276875414297, -0.08693608006157366, -0.14728512745029454, -0.3355001607941913, -0.10448044984890469, -0.13548691289354886, 0.060194818426094865, -0.15183850080704842, -0.19014300699292244, 0.41029967606902634, 0.09216702716617749, 0.1287471777491871, 0.04371499600044141, 0.17497790469948588, 0.09110739671534206, 0.05829397808752376, 0.06174382107096842, 0.25698891091802767, 0.12159325670579384, 0.05854251417170825, -0.23109797682698774, -0.12084425258418095, 0.1499893295460905] |
711.1975 | Equal charge black holes and seven dimensional gauged supergravity | We present various supergravity black holes of different dimensions with some
U(1) charges set equal in a simple, common form. Black hole solutions of seven
dimensional U(1)^2 gauged supergravity with three independent angular momenta
and two equal U(1) charges are obtained. We investigate the thermodynamics and
the BPS limit of this solution, and find that there are rotating supersymmetric
black holes without naked closed timelike curves. There are also supersymmetric
topological soliton solutions without naked closed timelike curves that have a
smooth geometry.
| hep-th gr-qc | we present various supergravity black holes of different dimensions with some u1 charges set equal in a simple common form black hole solutions of seven dimensional u12 gauged supergravity with three independent angular momenta and two equal u1 charges are obtained we investigate the thermodynamics and the bps limit of this solution and find that there are rotating supersymmetric black holes without naked closed timelike curves there are also supersymmetric topological soliton solutions without naked closed timelike curves that have a smooth geometry | [['we', 'present', 'various', 'supergravity', 'black', 'holes', 'of', 'different', 'dimensions', 'with', 'some', 'u1', 'charges', 'set', 'equal', 'in', 'a', 'simple', 'common', 'form', 'black', 'hole', 'solutions', 'of', 'seven', 'dimensional', 'u12', 'gauged', 'supergravity', 'with', 'three', 'independent', 'angular', 'momenta', 'and', 'two', 'equal', 'u1', 'charges', 'are', 'obtained', 'we', 'investigate', 'the', 'thermodynamics', 'and', 'the', 'bps', 'limit', 'of', 'this', 'solution', 'and', 'find', 'that', 'there', 'are', 'rotating', 'supersymmetric', 'black', 'holes', 'without', 'naked', 'closed', 'timelike', 'curves', 'there', 'are', 'also', 'supersymmetric', 'topological', 'soliton', 'solutions', 'without', 'naked', 'closed', 'timelike', 'curves', 'that', 'have', 'a', 'smooth', 'geometry']] | [-0.20039831935596394, 0.1461903995733304, -0.0072025336572025195, 0.15343585504213325, -0.08798266635332481, -0.24501048118235116, -0.03392708271528673, 0.3307591000886028, -0.056142359141664336, -0.2342486817793674, 0.0840002855058782, -0.3682234473302063, -0.08767799015370119, 0.1544872732406639, -0.07392937940803457, 0.06429795018700232, -0.018734680642991, 0.048597848763779164, -0.1405097680469324, -0.26721361738977484, 0.40713562841067114, -0.13134488785437431, 0.22235596403255162, -0.03707627102126738, 0.11809994395912053, -0.057976202882197965, 0.07301683379449399, 0.0703926661545523, -0.19132084146521408, 0.08958662089790745, 0.21416768881615744, 0.09829638976698772, 0.08472042066516378, -0.48000771327909214, -0.22681522905736803, 0.14446468102038804, 0.2004528392571956, 0.15346931592078814, -0.12523175177938609, -0.23934181934469437, 0.09007953383387571, -0.19991139366280242, -0.21606323759755994, -0.11839619116767881, 0.07080129477902349, -0.07595981702388051, -0.15033303508086196, 0.10642639400278982, 0.04224764844627086, 0.009562864563012698, -0.14298750361966261, -0.04046423297308116, -0.13430577630306179, 0.05616826078775956, 0.20469168563519258, 0.027965012690927608, 0.12469912694026548, -0.12313954989225617, -0.17555813700050474, 0.304009465107986, -0.020529979234000285, -0.2942638153277607, 0.15527038987030287, -0.24599251823909357, -0.10960722004949867, 0.16273469242817126, 0.08284512293491378, 0.2414807416049831, -0.17349246784999786, 0.2043395655332077, -0.0634449250345309, 0.12898370699889689, 0.19135651370480303, 0.07028994343456733, 0.4185605347605355, 0.05913759876850499, 0.000273726601434131, 0.13733561876431916, -0.013893969065274101, -0.12142400895189269, -0.4215450801224594, -0.13779470425503082, -0.06361545786171792, 0.18319069542529354, -0.2320670683257049, -0.18712362776095248, 0.3265265440315861, 0.02126238383675353, 0.17360390943239432, 0.03666124694857253, 0.1858776113715658, 0.04191248775168788, 0.03331050528101174, 0.15108043675209923, 0.2860935420342805, 0.09015670295030508, 0.07478399033916283, -0.2200365881463625, -0.23454189215820417, 0.1683988331067404] |
711.1976 | Is Quantum Mechanics needed to explain consciousness ? | In this short comment to a recent contribution by E. Manousakis [1] it is
argued that the reported agreement between the measured time evolution of
conscious states during binocular rivalry and predictions derived from quantum
mechanical formalisms does not require any direct effect of QM. The recursive
consumption analysis process in the Ouroboros Model can yield the same
behavior.
| physics.gen-ph | in this short comment to a recent contribution by e manousakis 1 it is argued that the reported agreement between the measured time evolution of conscious states during binocular rivalry and predictions derived from quantum mechanical formalisms does not require any direct effect of qm the recursive consumption analysis process in the ouroboros model can yield the same behavior | [['in', 'this', 'short', 'comment', 'to', 'a', 'recent', 'contribution', 'by', 'e', 'manousakis', '1', 'it', 'is', 'argued', 'that', 'the', 'reported', 'agreement', 'between', 'the', 'measured', 'time', 'evolution', 'of', 'conscious', 'states', 'during', 'binocular', 'rivalry', 'and', 'predictions', 'derived', 'from', 'quantum', 'mechanical', 'formalisms', 'does', 'not', 'require', 'any', 'direct', 'effect', 'of', 'qm', 'the', 'recursive', 'consumption', 'analysis', 'process', 'in', 'the', 'ouroboros', 'model', 'can', 'yield', 'the', 'same', 'behavior']] | [-0.09931791324874964, 0.13106991827552175, -0.14438837675923674, 0.06754644167452578, -0.06022953261332265, -0.13959190489499476, 0.0430881966443347, 0.33840520050505113, -0.22112503178931517, -0.34532571208245794, 0.0024854677753394535, -0.2661785448034262, -0.16332254720177372, 0.1875834866740002, -0.06714671993114311, 0.04692948310925015, 0.12727798861531733, 0.03261408359133478, -0.05608211336898264, -0.19005179361054866, 0.23345091797166567, 0.09561159785090272, 0.32582653710490156, 0.05720267516303936, 0.07892441802561798, 0.027891477377250277, -0.049620257513918756, 0.009943383810078275, -0.11761893767621147, 0.05668992859387674, 0.2459273860661377, 0.13246898905470453, 0.23837368350861401, -0.46161792398398294, -0.22591054974252295, 0.10449907711931858, 0.10099584930415811, 0.11287101346132314, -0.005288581765288937, -0.26104228247503014, 0.04508103700033549, -0.17950935221823125, -0.08202476591546216, -0.015499232256592348, 0.06338277189382191, -0.042345475036137066, -0.2148555760384248, 0.09655919025957199, 0.07358347706432486, 0.041371252949767075, -0.0554080276573398, -0.10718205574386079, -0.025791563093662262, 0.1300484120026873, 0.03784255901148848, 0.027002274139045643, 0.12909001606548653, -0.11414514995453044, -0.16573088537050604, 0.35989174609682684, -0.06944869603993821, -0.13457023333115825, 0.18800331382000626, -0.1771838802057479, -0.13029388600061165, 0.10679054871635062, 0.06979878072161227, 0.06388351944243086, -0.13689901938276558, 0.06514932824487413, 0.020307625800969304, 0.21085456230452862, 0.020745536810236758, 0.040738199523259716, 0.2007963597967193, 0.13384367927009688, -0.051745148034413053, 0.05045606610003923, -0.038262204556115745, -0.1124445993838639, -0.3314709184241706, -0.12178868262081183, -0.18210540381099644, 0.08659378978938612, -0.027690509162845236, -0.09578400867959035, 0.3122848988478554, 0.17564913340651528, 0.22742224858816842, 0.08011242683077681, 0.28197428436371785, 0.10021567890512885, 0.08638167362820742, 0.040188601730262924, 0.31768134279690424, 0.08604190657959031, 0.15651982455867633, -0.24892920617351372, 0.1299973260952513, 0.026237412074837704] |
711.1977 | S-wave meson scattering up to sqrt{s} < 2 GeV from chiral Lagrangians | The problem of scalar mesons still remains a challenging puzzle, for which we
do not even know which are the right pieces to set up. The proliferation of
resonances (some of them are very broad and appear on top of hadronic
thresholds) and of coupled channels that interact strongly among each other
makes the study of this sector a hard task. Our objective is the study of the
strongly interacting mesons in coupled channels with quantum numbers J^{PC} =
0^{++} and I=0 and I=1/2, up to a center of mass energy sqrt{s} < 2 GeV. Our
framework is based on Unitary Chiral Perturbation Theory. We include for I=0
the channels: \pi\pi, K\bar{K}, \eta\eta, \sigma\sigma, \eta\eta', \rho\rho,
\omega\omega, \eta'\eta', \omega\phi, \phi\phi, K^\ast \bar{K}^\ast,
a_1(1260)\pi and \pi^{\star}(1300)\pi. In addition, and in order to constrain
our fits, we also study the I=1/2, 3/2 channels given by K\pi, K\eta and
K\eta'. We finally present the resonant content of our fits with the $\sigma$,
$f_0(980)$, $f_0(1310)$, $f_(1500)$, $f_0(1710)$ and $f_0(1790)$.
| hep-ph | the problem of scalar mesons still remains a challenging puzzle for which we do not even know which are the right pieces to set up the proliferation of resonances some of them are very broad and appear on top of hadronic thresholds and of coupled channels that interact strongly among each other makes the study of this sector a hard task our objective is the study of the strongly interacting mesons in coupled channels with quantum numbers jpc 0 and i0 and i12 up to a center of mass energy sqrts 2 gev our framework is based on unitary chiral perturbation theory we include for i0 the channels pipi kbark etaeta sigmasigma etaeta rhorho omegaomega etaeta omegaphi phiphi kast barkast a_11260pi and pistar1300pi in addition and in order to constrain our fits we also study the i12 32 channels given by kpi keta and keta we finally present the resonant content of our fits with the sigma f_0980 f_01310 f_1500 f_01710 and f_01790 | [['the', 'problem', 'of', 'scalar', 'mesons', 'still', 'remains', 'a', 'challenging', 'puzzle', 'for', 'which', 'we', 'do', 'not', 'even', 'know', 'which', 'are', 'the', 'right', 'pieces', 'to', 'set', 'up', 'the', 'proliferation', 'of', 'resonances', 'some', 'of', 'them', 'are', 'very', 'broad', 'and', 'appear', 'on', 'top', 'of', 'hadronic', 'thresholds', 'and', 'of', 'coupled', 'channels', 'that', 'interact', 'strongly', 'among', 'each', 'other', 'makes', 'the', 'study', 'of', 'this', 'sector', 'a', 'hard', 'task', 'our', 'objective', 'is', 'the', 'study', 'of', 'the', 'strongly', 'interacting', 'mesons', 'in', 'coupled', 'channels', 'with', 'quantum', 'numbers', 'jpc', '0', 'and', 'i0', 'and', 'i12', 'up', 'to', 'a', 'center', 'of', 'mass', 'energy', 'sqrts', '2', 'gev', 'our', 'framework', 'is', 'based', 'on', 'unitary', 'chiral', 'perturbation', 'theory', 'we', 'include', 'for', 'i0', 'the', 'channels', 'pipi', 'kbark', 'etaeta', 'sigmasigma', 'etaeta', 'rhorho', 'omegaomega', 'etaeta', 'omegaphi', 'phiphi', 'kast', 'barkast', 'a_11260pi', 'and', 'pistar1300pi', 'in', 'addition', 'and', 'in', 'order', 'to', 'constrain', 'our', 'fits', 'we', 'also', 'study', 'the', 'i12', '32', 'channels', 'given', 'by', 'kpi', 'keta', 'and', 'keta', 'we', 'finally', 'present', 'the', 'resonant', 'content', 'of', 'our', 'fits', 'with', 'the', 'sigma', 'f_0980', 'f_01310', 'f_1500', 'f_01710', 'and', 'f_01790']] | [-0.1494689562212443, 0.22519547173287718, -0.053679546326748095, 0.0974456266128982, -0.05632377577858279, -0.17456077187962366, 0.07421201187171392, 0.33080160290701316, -0.20498271795222536, -0.20909978296840565, 0.002218817131506512, -0.3521910571726039, -0.07558808134926949, 0.10438052739264095, 0.06601620627770899, 0.07966110681300051, 0.07935740583343431, 0.07194356459076516, 0.009106837178114802, -0.20461874734173763, 0.33117194948426915, -0.05465029580009286, 0.14800417628721335, 0.1451035628968384, -0.015702206519927132, 0.0024249057911220006, -0.006021259861881845, -0.11211352687096224, -0.15505447727068714, 0.07339637481891259, 0.24733227035030722, 0.10537149497686187, 0.13862694675044623, -0.31365243443869983, -0.09278960022929823, 0.12954590215231293, 0.19242072067572735, 0.06595291740522953, 0.022495498541684356, -0.3391600510221906, 0.15640970419826772, -0.17496530925855042, -0.09426282213826198, -0.09779083084431477, 0.005999753638388938, -0.06386295111151412, -0.3349496242182795, 0.09178993551595341, -0.022338610657607207, 0.0039796573255443946, -0.03469058444170514, -0.24354608703724806, -0.012664225067419465, 0.05078444922692142, 0.08440641904599033, 0.06794112591378507, 0.1358127811778104, -0.15980278917850227, -0.11437447967255139, 0.4010143231753318, -0.05493367207200208, -0.19750286904600217, 0.1581311966685462, -0.1516596752946498, -0.15014047653239687, 0.12625145464626258, 0.18239327710034559, 0.08979200015601237, -0.15064908401691354, 0.1088134142322815, -0.06810682331415592, 0.20704367966318388, 0.07887604354182258, 0.09723886822757777, 0.1713071422869689, 0.146188959715073, -0.010834225529106335, 0.06897944519332669, -0.0645039688797624, -0.09923699624487199, -0.36382917484734206, -0.10564302773564123, -0.060261360457298, 0.07360990549514099, -0.030373088601481867, -0.07136748045741115, 0.35840420477907176, 0.0743012454622658, 0.27251798108336517, 0.042288553685648364, 0.2968498539063148, 0.08520206297043842, 0.03768070332298521, 0.09092836221643666, 0.26377844684557206, 0.2204739283028175, 0.09931581067794468, -0.2889175094780512, -0.032285890310959076, -0.04435504363500513] |
711.1978 | Magnetic nanowires as permanent magnet materials | We present the fabrication of metallic magnetic nanowires using a low
temperature chemical process. We show that pressed powders and magnetically
oriented samples exhibit a very high coercivity (6.5 kOe at 140 K and 4.8 kOe
at 300 K). We discuss the magnetic properties of these metamaterials and show
that they have the suitable properties to realize "high temperature magnets"
competitive with AlNiCo or SmCo permanent magnets. They could also be used as
recording media for high density magnetic recording.
| cond-mat.mtrl-sci | we present the fabrication of metallic magnetic nanowires using a low temperature chemical process we show that pressed powders and magnetically oriented samples exhibit a very high coercivity 65 koe at 140 k and 48 koe at 300 k we discuss the magnetic properties of these metamaterials and show that they have the suitable properties to realize high temperature magnets competitive with alnico or smco permanent magnets they could also be used as recording media for high density magnetic recording | [['we', 'present', 'the', 'fabrication', 'of', 'metallic', 'magnetic', 'nanowires', 'using', 'a', 'low', 'temperature', 'chemical', 'process', 'we', 'show', 'that', 'pressed', 'powders', 'and', 'magnetically', 'oriented', 'samples', 'exhibit', 'a', 'very', 'high', 'coercivity', '65', 'koe', 'at', '140', 'k', 'and', '48', 'koe', 'at', '300', 'k', 'we', 'discuss', 'the', 'magnetic', 'properties', 'of', 'these', 'metamaterials', 'and', 'show', 'that', 'they', 'have', 'the', 'suitable', 'properties', 'to', 'realize', 'high', 'temperature', 'magnets', 'competitive', 'with', 'alnico', 'or', 'smco', 'permanent', 'magnets', 'they', 'could', 'also', 'be', 'used', 'as', 'recording', 'media', 'for', 'high', 'density', 'magnetic', 'recording']] | [-0.1432636153884232, 0.25198122387519106, 0.00123501488706097, -0.018191318431377113, -0.055977886490290986, -0.16054293212946505, 0.06144809347752016, 0.5030650016851723, -0.21801751028979197, -0.3816188733908348, 0.09732499327510595, -0.2970132986549288, -0.05563911178905982, 0.21456097784393932, 0.04392853635363281, 0.0016475558540150815, -0.021723715391999576, -0.03646259559318423, -0.07885390532901511, -0.21740700979135, 0.17325806203298272, 0.035613168139752814, 0.32487600850872694, 0.09753558262018487, 0.0808021185122925, -0.08695809434284456, 0.17460340763209387, 0.07275596073304769, -0.1319077872447451, 0.025710192738915793, 0.26946119306085164, -0.06728746423323173, 0.16165710417553783, -0.45925532404799013, -0.1726322153583169, 0.040332997939549385, 0.09611054977867753, 0.09033555909991264, -0.12264750460744836, -0.23344457652419806, 0.17764202685793862, -0.08817540667951107, -0.14950424218550323, -0.19335693169850857, -0.030383863137103617, 0.04439883739687502, -0.24317048187367618, 0.0513597752982605, 0.06257906956598162, 0.19698615866946056, -0.09233022614498623, -0.19324935583863406, -0.015521911509495112, 0.0050969968462595714, -0.012481956486954004, 0.04418659466027748, 0.24103462530183606, -0.122678415896371, -0.07482743576401844, 0.3306745128938928, -0.07796105812885798, -0.02128602450247854, 0.23265026465523989, -0.20295236055972055, -0.10808797024947125, 0.20766976443119348, 0.16706392469932324, 0.12530181299662219, -0.14984232468996198, 0.022386351118257153, 0.056665929085284006, 0.16512659604195506, 0.08475224644644186, 0.05027531187515706, 0.25538048667367547, 0.1743368212453788, -0.005595899306354113, 0.17670887968124588, -0.16229026818182318, 0.097655038285302, -0.18396992144407703, -0.2041586069506593, -0.1881029121694155, 0.09932011983764824, -0.14828330721884414, -0.18934794750530273, 0.29771281810244543, 0.18965531135909258, 0.1944158471713308, -0.04636325247120112, 0.21096959828864784, 0.044651754350343256, 0.11326701454818248, 0.08965425413334742, 0.24290801780298352, 0.20616499509196728, 0.22146943935658783, -0.18455304719973356, 0.0645924859738443, -0.09454142971371766] |
711.1979 | Galilean Classification of Curves | In this paper, we classify space-time curves up to Galilean group of
transformations with Cartan's method of equivalence. As an aim, we elicit
invariats from action of special Galilean group on space-time curves, that are,
in fact, conservation laws in physics. We also state a necessary and sufficient
condition for equivalent Galilean motions.
| math-ph math.MP | in this paper we classify spacetime curves up to galilean group of transformations with cartans method of equivalence as an aim we elicit invariats from action of special galilean group on spacetime curves that are in fact conservation laws in physics we also state a necessary and sufficient condition for equivalent galilean motions | [['in', 'this', 'paper', 'we', 'classify', 'spacetime', 'curves', 'up', 'to', 'galilean', 'group', 'of', 'transformations', 'with', 'cartans', 'method', 'of', 'equivalence', 'as', 'an', 'aim', 'we', 'elicit', 'invariats', 'from', 'action', 'of', 'special', 'galilean', 'group', 'on', 'spacetime', 'curves', 'that', 'are', 'in', 'fact', 'conservation', 'laws', 'in', 'physics', 'we', 'also', 'state', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'equivalent', 'galilean', 'motions']] | [-0.14669880711545163, 0.11572439219302257, -0.14909265716918385, 0.07012819162740086, -0.13759690046740267, -0.12998918883609945, 0.0037694006168749183, 0.39360260189725804, -0.25874795829160857, -0.2902399774443788, 0.07839355943052886, -0.21739489220243952, -0.19189674521868044, 0.16212681277941626, -0.19387216925119552, 0.05250668806883578, 0.0022677791913828025, 0.05250575044192374, -0.11925779139318575, -0.24617582695701948, 0.38412488108644116, 0.03398223265181654, 0.2726966569271798, -0.0579197822461048, 0.1530920012603299, -0.02500223446315011, -0.030859038265099607, 0.01849833949101874, -0.12794958017925986, 0.06463362649083138, 0.19719629883407974, 0.11206908129119816, 0.15642891051426816, -0.40510333967036927, -0.16443134634755552, 0.1148669992107898, 0.11290669299957629, 0.1285730363228, -0.06161219785392929, -0.31271650209628904, 0.05633664766075806, -0.1580631432768244, -0.20757238566875458, -0.13612251552359128, 0.0700038423260244, -0.05751248166108361, -0.17272982187569141, 0.09330228117435652, 0.1271466342239784, 0.1596680070595959, -0.15303879232110026, 0.01899011545957854, -0.02305516832543967, 0.1011322241795894, 0.08570775844586584, -0.027856894553853914, 0.047557049099570856, -0.10370330865799378, -0.10866601245764357, 0.5048457061728606, -0.06570438191724512, -0.2648119116918399, 0.1994332828415701, -0.16424046729046565, -0.2200137645436021, 0.1044194533135921, 0.20949184816653052, 0.1270928278278846, -0.20068658087760782, 0.10131126601817624, -0.07675696694507049, 0.06464331980364826, 0.06408019228659284, 0.0075971831370574925, 0.16180540966049123, 0.03980163260936164, 0.1043613576151144, 0.09785234681420171, 0.02026294862242559, -0.06842307364926316, -0.46300438633905006, -0.2274887079390912, -0.07834823245110993, 0.09387136382373193, -0.0513884704199042, -0.0762475590633515, 0.3468276858687974, 0.1684098923757959, 0.1008661412454855, 0.08540959580120845, 0.1966084842211925, 0.07383814481503438, 0.0690108507585067, 0.09474148243092574, 0.21134516997979239, 0.18443641444453254, 0.023138423709986873, -0.18036618113714772, -0.10034923331561284, 0.16584082887185594] |
711.198 | On the existence of a reverse shock in magnetized GRB ejecta | The role of magnetic fields in gamma-ray burst (GRB) flows remains
controversial. The study of the early afterglow phases and, in particular, of
the reverse shock dynamics and associated emission offers a promising probe of
the magnetization of the ejecta. In this paper, we derive the conditions for
the existence of a reverse shock in arbitrarily magnetized ejecta that
decelerate and interact with the circumburst medium. Both constant and
wind-like density profiles are considered. We show, in contrast to previous
estimates, that ejecta with magnetization larger than unity are not crossed by
a reverse shock for a large fraction of the parameter space relevant to GRB
flows. Allowing for shell spreading, there is always a relativistic or mildly
relativistic reverse shock forming in sigma_o < 0.3 ejecta. From this, we
conclude that the paucity of optical flashes, believed to be a distinctive
signature of a reverse shock, may be explained by the existence of dynamically
important magnetic fields in the ejecta.
| astro-ph | the role of magnetic fields in gammaray burst grb flows remains controversial the study of the early afterglow phases and in particular of the reverse shock dynamics and associated emission offers a promising probe of the magnetization of the ejecta in this paper we derive the conditions for the existence of a reverse shock in arbitrarily magnetized ejecta that decelerate and interact with the circumburst medium both constant and windlike density profiles are considered we show in contrast to previous estimates that ejecta with magnetization larger than unity are not crossed by a reverse shock for a large fraction of the parameter space relevant to grb flows allowing for shell spreading there is always a relativistic or mildly relativistic reverse shock forming in sigma_o 03 ejecta from this we conclude that the paucity of optical flashes believed to be a distinctive signature of a reverse shock may be explained by the existence of dynamically important magnetic fields in the ejecta | [['the', 'role', 'of', 'magnetic', 'fields', 'in', 'gammaray', 'burst', 'grb', 'flows', 'remains', 'controversial', 'the', 'study', 'of', 'the', 'early', 'afterglow', 'phases', 'and', 'in', 'particular', 'of', 'the', 'reverse', 'shock', 'dynamics', 'and', 'associated', 'emission', 'offers', 'a', 'promising', 'probe', 'of', 'the', 'magnetization', 'of', 'the', 'ejecta', 'in', 'this', 'paper', 'we', 'derive', 'the', 'conditions', 'for', 'the', 'existence', 'of', 'a', 'reverse', 'shock', 'in', 'arbitrarily', 'magnetized', 'ejecta', 'that', 'decelerate', 'and', 'interact', 'with', 'the', 'circumburst', 'medium', 'both', 'constant', 'and', 'windlike', 'density', 'profiles', 'are', 'considered', 'we', 'show', 'in', 'contrast', 'to', 'previous', 'estimates', 'that', 'ejecta', 'with', 'magnetization', 'larger', 'than', 'unity', 'are', 'not', 'crossed', 'by', 'a', 'reverse', 'shock', 'for', 'a', 'large', 'fraction', 'of', 'the', 'parameter', 'space', 'relevant', 'to', 'grb', 'flows', 'allowing', 'for', 'shell', 'spreading', 'there', 'is', 'always', 'a', 'relativistic', 'or', 'mildly', 'relativistic', 'reverse', 'shock', 'forming', 'in', 'sigma_o', '03', 'ejecta', 'from', 'this', 'we', 'conclude', 'that', 'the', 'paucity', 'of', 'optical', 'flashes', 'believed', 'to', 'be', 'a', 'distinctive', 'signature', 'of', 'a', 'reverse', 'shock', 'may', 'be', 'explained', 'by', 'the', 'existence', 'of', 'dynamically', 'important', 'magnetic', 'fields', 'in', 'the', 'ejecta']] | [-0.1264114420002443, 0.19261304081301206, -0.06351875979453325, 0.12459968445218692, -0.10650708866742206, -0.09640665262704715, 0.014685164212278324, 0.4289651652332395, -0.24540966346248752, -0.2620711828116328, 0.05374268777241013, -0.23894973216229118, -0.026886611605004874, 0.2137031634163577, 0.02828268766425026, -0.06733175967819989, 0.07126893217791803, -0.05648383931838907, -0.06351025158219273, -0.16690336470783224, 0.31318695383379236, 0.07949858750362182, 0.19314364869896963, 0.0472259866524837, 0.05056770210794639, -0.07789383484050631, 0.016710156577755698, 0.015960686940343295, -0.12141862557541572, 0.052694463315128816, 0.1928581609405228, 0.09614051286625909, 0.2319919027737342, -0.4815764252853114, -0.28390432046726344, 0.09171364357316633, 0.19038535327417777, 0.07448197515623178, -0.08879766396639752, -0.25613205117406324, 0.051050204838975335, -0.2144068915396929, -0.20164449982112273, 0.050920381071045996, 0.03147407635115087, 0.06835011026560096, -0.2319753991672769, 0.1319538779905997, 0.04998543069887092, 0.017952162177243734, -0.0724018868553685, 0.009682625441928393, -0.04090586783131585, 0.03302968076459365, 0.10765949462511344, 0.06373903732310282, 0.1352376257040305, -0.1844368201731413, -0.026045944076031446, 0.4415065316716209, -0.06520951748725565, -0.05249165293062106, 0.2038095239426184, -0.23084744236994084, -0.12457281778333709, 0.2121469934238121, 0.14595259119014373, 0.09467696842802979, -0.09924804838083219, -0.014598505700996611, -0.03442301926916116, 0.11799547957743925, 0.04986973711347673, 0.02397526740678586, 0.25227125780656934, 0.11907958258962026, 0.031441328710934614, 0.14390331483155022, -0.13388113569744747, -0.013509949037688785, -0.30647289533808364, -0.16830758457654155, -0.13965541825600666, 0.09288437296791016, -0.1290043434328254, -0.1581510187999811, 0.3608172798616579, 0.14227637677977328, 0.18236595811031292, -0.04175249103745955, 0.2606089651817456, 0.08827335422611213, 0.018297304156294558, 0.17540451088134432, 0.3282679889234714, 0.18054107167117764, 0.13798636348728904, -0.21104139746894363, 0.15847265518696077, 0.03466751665382617] |
711.1981 | On the infinitesimal rigidity of polyhedra with vertices in convex
position | Let $P \subset \R^3$ be a polyhedron. It was conjectured that if $P$ is
weakly convex (i. e. its vertices lie on the boundary of a strictly convex
domain) and decomposable (i. e. $P$ can be triangulated without adding new
vertices), then it is infinitesimally rigid. We prove this conjecture under a
weak additional assumption of codecomposability.
The proof relies on a result of independent interest concerning the
Hilbert-Einstein function of a triangulated convex polyhedron. We determine the
signature of the Hessian of that function with respect to deformations of the
interior edges. In particular, if there are no interior vertices, then the
Hessian is negative definite.
| math.DG math.MG | let p subset r3 be a polyhedron it was conjectured that if p is weakly convex i e its vertices lie on the boundary of a strictly convex domain and decomposable i e p can be triangulated without adding new vertices then it is infinitesimally rigid we prove this conjecture under a weak additional assumption of codecomposability the proof relies on a result of independent interest concerning the hilberteinstein function of a triangulated convex polyhedron we determine the signature of the hessian of that function with respect to deformations of the interior edges in particular if there are no interior vertices then the hessian is negative definite | [['let', 'p', 'subset', 'r3', 'be', 'a', 'polyhedron', 'it', 'was', 'conjectured', 'that', 'if', 'p', 'is', 'weakly', 'convex', 'i', 'e', 'its', 'vertices', 'lie', 'on', 'the', 'boundary', 'of', 'a', 'strictly', 'convex', 'domain', 'and', 'decomposable', 'i', 'e', 'p', 'can', 'be', 'triangulated', 'without', 'adding', 'new', 'vertices', 'then', 'it', 'is', 'infinitesimally', 'rigid', 'we', 'prove', 'this', 'conjecture', 'under', 'a', 'weak', 'additional', 'assumption', 'of', 'codecomposability', 'the', 'proof', 'relies', 'on', 'a', 'result', 'of', 'independent', 'interest', 'concerning', 'the', 'hilberteinstein', 'function', 'of', 'a', 'triangulated', 'convex', 'polyhedron', 'we', 'determine', 'the', 'signature', 'of', 'the', 'hessian', 'of', 'that', 'function', 'with', 'respect', 'to', 'deformations', 'of', 'the', 'interior', 'edges', 'in', 'particular', 'if', 'there', 'are', 'no', 'interior', 'vertices', 'then', 'the', 'hessian', 'is', 'negative', 'definite']] | [-0.160146100183, 0.09184335041264037, -0.11557128309395234, 0.0040345473307237594, -0.13712793279368923, -0.18288703531659437, 0.020490043023425452, 0.34877271131383925, -0.3192887152808736, -0.19898586813195715, 0.08177461000137418, -0.2997793360977908, -0.15308154504394755, 0.09825102918131172, -0.1478606327085422, -0.007402294675077153, 0.09956114472522629, 0.09663684000173267, -0.04489216097314262, -0.27569466871692677, 0.37136193882796986, -0.08233289713839526, 0.1538214668266932, 0.11891186519971837, 0.10221388281920468, 0.02878253626250574, 0.04513125048669161, 0.08516227169937612, -0.17109004294986832, 0.10515794530950205, 0.23326463689851873, 0.14538986969101936, 0.2614379507612507, -0.3990191240566519, -0.13438483073051036, 0.2255598155228105, 0.08028298402907995, 0.0009557923613959607, -0.021646292904339167, -0.2351198090626946, 0.15065334600018654, -0.07293607188687432, -0.1636756258217161, -0.0224970329008153, 0.11250526834068433, -0.011886751922813929, -0.3085845331046379, -0.004832377951627351, 0.14262687806742932, 0.059398364939041576, -0.06852990690561644, -0.1311851734963228, -0.09765350011634236, 0.015948908930679538, 0.027871260131744423, 0.1314941005482567, 0.0873275588899148, -0.04419290512264267, -0.0649779088496459, 0.3545734042143625, -0.018727368007431616, -0.2996468603268336, 0.15588616333761304, -0.1779347456649016, -0.1199202128150061, 0.14037123318972453, 0.1010924896471343, 0.19572794686054001, -0.08597382875862268, 0.22999927068496, -0.14836918015992884, 0.09414224675417228, 0.12198957096662302, -0.04898742621628357, 0.1711135119516051, 0.08873383448907297, 0.17832640912559516, 0.1505768751387291, -0.0016401929512865983, 0.013590899221423381, -0.41078250265223376, -0.14053602807469806, -0.2563935168085286, 0.1281410610755765, -0.13633263468254195, -0.19167272830909154, 0.3292517873155445, 0.01964295092741695, 0.20028370142615629, 0.08380633289486451, 0.22643509948239574, 0.08675215536517636, 0.04386765646247439, 0.1133298586465348, 0.17721421007980714, 0.1612112456800873, -0.056067934953871204, -0.14858711727912416, 0.08314291692233451, 0.1430180647217159] |
711.1982 | The physical meaning of scattering matrix singularities in
coupled-channel formalisms | The physical meaning of bare and dressed scattering matrix singularities has
been investigated. Special attention has been attributed to the role of well
known invariance of scattering matrix with respect to the field transformation
of the effective Lagrangian. Examples of evaluating bare and dressed quantities
in various models are given.
| hep-ph nucl-th | the physical meaning of bare and dressed scattering matrix singularities has been investigated special attention has been attributed to the role of well known invariance of scattering matrix with respect to the field transformation of the effective lagrangian examples of evaluating bare and dressed quantities in various models are given | [['the', 'physical', 'meaning', 'of', 'bare', 'and', 'dressed', 'scattering', 'matrix', 'singularities', 'has', 'been', 'investigated', 'special', 'attention', 'has', 'been', 'attributed', 'to', 'the', 'role', 'of', 'well', 'known', 'invariance', 'of', 'scattering', 'matrix', 'with', 'respect', 'to', 'the', 'field', 'transformation', 'of', 'the', 'effective', 'lagrangian', 'examples', 'of', 'evaluating', 'bare', 'and', 'dressed', 'quantities', 'in', 'various', 'models', 'are', 'given']] | [-0.10362318703904748, 0.13012551927939056, -0.055965675208717584, 0.09675540145486593, -0.06437459665350616, -0.1166978720203042, -0.05240623071789741, 0.3987849169969559, -0.21164790309965612, -0.3035533808881883, 0.05330983089981601, -0.3061970419483259, -0.18446684400085359, 0.11113195326179266, -0.011477221883833408, 0.1498231036029756, -0.031149090845137836, 0.09534018974751234, -0.12908895954489708, -0.2023090323060751, 0.39435628972947595, 0.06468078946694732, 0.27086898805573584, 0.14344524749554693, 0.1132564202696085, 0.02567482783459127, -0.05095693547278643, 0.012037058325950057, -0.0653036005795002, 0.08018538293428719, 0.20849123314350437, 0.06462483081035315, 0.19718310933560132, -0.42839465230703355, -0.23868180061457678, 0.07803367767715827, 0.17115184610243886, 0.1363838871754706, -0.04767332008108496, -0.2781547613441944, 0.013318691980093717, -0.17419058207422494, -0.17798263408243656, -0.13138644773513078, 0.06077537756646052, -0.0067264983803033826, -0.22101062395609916, 0.005536240890724003, 0.008864401190076024, 0.055466958824545144, -0.04235175271052867, -0.15845313793048263, -0.037890569081064314, 0.16345512967556716, 0.1240090812370181, 0.020368733052164315, 0.14340881023555993, -0.1564496030844748, -0.05945731271058321, 0.43027555078268054, -0.05655920971184969, -0.21417329490184783, 0.19989631794393062, -0.1129737554397434, -0.08775417404714972, 0.14295232232892885, 0.1248691194318235, 0.12300145417451859, -0.1726628851518035, 0.17829915321199225, -0.02366108652204275, 0.06532781248912216, 0.11489841186441481, 0.10416593845933676, 0.17078577836975456, 0.13579622730612756, -0.08205959090031684, 0.12272732593119144, -0.012502157855778932, -0.1498073229379952, -0.26379851579666136, -0.0934137512370944, -0.20567637397907673, 0.05078815398737788, -0.07049291582719888, -0.16906364030204712, 0.4002059324085712, 0.10474080191925168, 0.21296586491167546, -0.03150381175801158, 0.2306268020346761, 0.19198288705199956, 0.1491860825382173, -0.01696095086634159, 0.28831355545669796, 0.230106569416821, 0.03358973106369376, -0.24817367168143392, 0.07482657839544117, 0.08919684058055281] |
711.1983 | Review of Beauty Production at HERA and Elsewhere | Experimental results on beauty production at HERA are reviewed in the context
of similar measurements at other colliders. As a result of a phenomenological
study of the QCD scale dependence of many different NLO and NNLO predictions, a
modification of the ``default'' scale choice is advocated. Experimental
constraints on the photon-quark coupling are also investigated.
| hep-ex | experimental results on beauty production at hera are reviewed in the context of similar measurements at other colliders as a result of a phenomenological study of the qcd scale dependence of many different nlo and nnlo predictions a modification of the default scale choice is advocated experimental constraints on the photonquark coupling are also investigated | [['experimental', 'results', 'on', 'beauty', 'production', 'at', 'hera', 'are', 'reviewed', 'in', 'the', 'context', 'of', 'similar', 'measurements', 'at', 'other', 'colliders', 'as', 'a', 'result', 'of', 'a', 'phenomenological', 'study', 'of', 'the', 'qcd', 'scale', 'dependence', 'of', 'many', 'different', 'nlo', 'and', 'nnlo', 'predictions', 'a', 'modification', 'of', 'the', 'default', 'scale', 'choice', 'is', 'advocated', 'experimental', 'constraints', 'on', 'the', 'photonquark', 'coupling', 'are', 'also', 'investigated']] | [-0.06978003136728975, 0.14408643363382329, -0.12140172411772338, 0.13299249801149762, -0.06475913111459125, -0.08728776321619411, -0.015920220425521787, 0.3522240633314306, -0.18436180217699571, -0.2687524504747919, 0.07868000686126338, -0.3435522732409564, -0.01208478928628293, 0.1817102140662345, 0.0900339267978614, 0.13374834800647065, 0.08040171644904397, -0.004264694240621545, -0.07216241158206355, -0.22956511269916188, 0.31297132020646873, 0.10659832619130612, 0.26886745966462927, 0.2082515216178515, 0.06063246010718021, 0.008177149058742957, -0.1016010463015515, -0.0024985224855217066, -0.13745481095869433, 0.08102032041431151, 0.24333115497773344, 0.055879613807932896, 0.19464719549498774, -0.3855582233179699, -0.13486704738302666, -0.0018382664177228104, 0.08162135469981215, 0.1316154050048102, -0.06733026615005325, -0.25099680411883374, 0.0735994287004525, -0.22342371686615728, -0.09537426983217963, -0.08805904198776592, -0.019418463415720247, -0.008507010412656448, -0.3103898075832562, 0.034872704451713206, -0.07661724715408953, 0.05944308747368103, -0.009175139085643672, -0.20720356226136738, -0.0372910877732052, 0.0218407316387377, 0.1266104525928809, 0.06366846237585626, 0.18072110929272392, -0.19918904094533488, -0.21916754795238375, 0.4269182804971933, -0.05996664488180117, -0.14608320780098438, 0.1809046710756692, -0.1918471119451252, -0.2299271730367433, 0.04972606018524278, 0.22461121851070362, 0.08553046413104642, -0.15071393635801295, 0.12500206005061046, -0.03462412849978798, 0.13045354972762818, 0.07628285983069376, 0.10274177963676101, 0.1350975554775108, 0.26284849002788013, -0.06082905347310853, 0.021131044970190322, -0.02163330562920733, -0.12960585105994885, -0.45329441306265916, -0.025511575388637457, -0.11941034592349421, 0.009094425748017701, -0.1121716467914997, -0.08407599471340126, 0.3700964864004742, 0.16251162897202778, 0.3015643301081251, 0.03292002854022113, 0.32068374156951907, 0.08479760016145355, 0.0648763846944679, -0.03912577679042112, 0.32474986118349164, 0.10521246005188335, 0.11153304979882457, -0.22909516354345463, 0.09719429236244072, 0.019788728137923914] |
711.1984 | Eclipsing Binaries Showing Light Time Effect | Four eclipsing binaries, which show apparent changes of period, have been
studied with respect to a possible presence of the light time effect. With a
least squares method we calculated new light elements of these systems, the
mass function of the predicted third body, and its minimum mass. We discuss the
probability of the presence of such bodies in terms of mass function, changes
in radial velocity and third light in solution of light curves.
| astro-ph | four eclipsing binaries which show apparent changes of period have been studied with respect to a possible presence of the light time effect with a least squares method we calculated new light elements of these systems the mass function of the predicted third body and its minimum mass we discuss the probability of the presence of such bodies in terms of mass function changes in radial velocity and third light in solution of light curves | [['four', 'eclipsing', 'binaries', 'which', 'show', 'apparent', 'changes', 'of', 'period', 'have', 'been', 'studied', 'with', 'respect', 'to', 'a', 'possible', 'presence', 'of', 'the', 'light', 'time', 'effect', 'with', 'a', 'least', 'squares', 'method', 'we', 'calculated', 'new', 'light', 'elements', 'of', 'these', 'systems', 'the', 'mass', 'function', 'of', 'the', 'predicted', 'third', 'body', 'and', 'its', 'minimum', 'mass', 'we', 'discuss', 'the', 'probability', 'of', 'the', 'presence', 'of', 'such', 'bodies', 'in', 'terms', 'of', 'mass', 'function', 'changes', 'in', 'radial', 'velocity', 'and', 'third', 'light', 'in', 'solution', 'of', 'light', 'curves']] | [-0.16054555603613457, 0.12289592298368612, -0.08003021771709125, 0.043126931885878246, -0.02396777891864379, -0.07984692476068934, 0.05444874336943031, 0.34856223055161534, -0.23405281792084376, -0.3540170503384434, 0.08452706063942363, -0.30575109016150237, -0.14146395521859328, 0.1987961509327094, -0.08325482573981087, 0.09165564848653351, 0.059610267455379166, 0.043839039653539656, -0.11487137192316975, -0.26420007331917683, 0.3322255652397871, -0.02899306067576011, 0.13726341230484346, 0.054065149190525214, 0.11150063467522463, 0.016136477428177993, -0.04575869849766605, 0.020208210833370686, -0.08496939452985923, 0.08919522893168809, 0.1276273449510336, 0.10483109769411385, 0.2108255861699581, -0.34648148869474726, -0.21240920129736576, 0.13859276891996464, 0.12617297704331576, 0.07412165167896698, -0.06833020384733876, -0.21538733258843423, 0.045887229392925895, -0.17581023814777533, -0.2617098997036616, 0.007701964415609837, 0.07447218938420216, 0.07104932114481927, -0.21405052758753298, 0.10106713673720757, 0.0019993831651906172, 0.06343448328475157, -0.1084626958038037, -0.1400857800990343, -0.06067033295209209, 0.07716259844911595, 0.14651066277176142, 0.03832232642297943, 0.09185799958184361, -0.09253393934418758, -0.08663874987512826, 0.4062244290113449, -0.12219490451117357, -0.12890144474804402, 0.15965894302974146, -0.20740989713619154, -0.08803050884356102, 0.12791396295030913, 0.23911367404585082, 0.15484333825297653, -0.16590285872419674, 0.00031102169770747424, -0.008594882239898046, 0.19922801825838785, 0.07667268194258213, 0.09046059012413026, 0.28025277245789765, 0.13822392476412157, 0.004266787928839525, 0.10586247583385557, -0.17116925443212191, -0.05269285348011181, -0.25542283910016217, -0.16788748417049645, -0.1470082254653486, -0.025768209143231312, -0.11239295771927572, -0.1653018033944924, 0.4226446217795213, 0.08837908901274204, 0.21407455697655678, 0.029000257388688624, 0.28802263469124834, 0.14044941438982883, 0.08823487764166202, 0.08028631404042244, 0.32058713397632044, 0.15577765879842143, 0.06453247350951036, -0.2746086848030488, 0.07896266799420118, 0.023873787851383287] |
711.1985 | Five or six step scenario for evolution? | The prediction that (due to the limited amount of hydrogen available as fuel
in the Sun) the future duration of our favourable terrestrial environment will
be short (compared with the present age of the Earth) has been interpreted as
evidence for a hard step scenario. This means that some of the essential steps
(such as the development of eukaryotes) in the evolution process leading to the
ultimate emergence of intelligent life would have been hard, in the sense of
being against the odds in the available time, so that they are unlikely to have
been achieved in most of the earth-like planets that may one day be discovered
in nearby extra-solar systems. It was originally estimated that only one or two
of the essential evolutionary steps had to have been hard in this sense, but it
has become apparent that this figure may need upward revision, because recent
studies of climatic instability suggest that the possible future duration of
our biologically favourable environment may be shorter than had been supposed,
only about one Giga year rather than five. On the basis of the statistical
requirement of roughly equal spacing between hard steps, it is argued that the
best fit with the fossil record is now obtainable by postulating the number of
hard steps to be five, if our evolution was exclusively terrestrial, or six if,
as now seems very plausible, the first step occurred on Mars.
| astro-ph | the prediction that due to the limited amount of hydrogen available as fuel in the sun the future duration of our favourable terrestrial environment will be short compared with the present age of the earth has been interpreted as evidence for a hard step scenario this means that some of the essential steps such as the development of eukaryotes in the evolution process leading to the ultimate emergence of intelligent life would have been hard in the sense of being against the odds in the available time so that they are unlikely to have been achieved in most of the earthlike planets that may one day be discovered in nearby extrasolar systems it was originally estimated that only one or two of the essential evolutionary steps had to have been hard in this sense but it has become apparent that this figure may need upward revision because recent studies of climatic instability suggest that the possible future duration of our biologically favourable environment may be shorter than had been supposed only about one giga year rather than five on the basis of the statistical requirement of roughly equal spacing between hard steps it is argued that the best fit with the fossil record is now obtainable by postulating the number of hard steps to be five if our evolution was exclusively terrestrial or six if as now seems very plausible the first step occurred on mars | [['the', 'prediction', 'that', 'due', 'to', 'the', 'limited', 'amount', 'of', 'hydrogen', 'available', 'as', 'fuel', 'in', 'the', 'sun', 'the', 'future', 'duration', 'of', 'our', 'favourable', 'terrestrial', 'environment', 'will', 'be', 'short', 'compared', 'with', 'the', 'present', 'age', 'of', 'the', 'earth', 'has', 'been', 'interpreted', 'as', 'evidence', 'for', 'a', 'hard', 'step', 'scenario', 'this', 'means', 'that', 'some', 'of', 'the', 'essential', 'steps', 'such', 'as', 'the', 'development', 'of', 'eukaryotes', 'in', 'the', 'evolution', 'process', 'leading', 'to', 'the', 'ultimate', 'emergence', 'of', 'intelligent', 'life', 'would', 'have', 'been', 'hard', 'in', 'the', 'sense', 'of', 'being', 'against', 'the', 'odds', 'in', 'the', 'available', 'time', 'so', 'that', 'they', 'are', 'unlikely', 'to', 'have', 'been', 'achieved', 'in', 'most', 'of', 'the', 'earthlike', 'planets', 'that', 'may', 'one', 'day', 'be', 'discovered', 'in', 'nearby', 'extrasolar', 'systems', 'it', 'was', 'originally', 'estimated', 'that', 'only', 'one', 'or', 'two', 'of', 'the', 'essential', 'evolutionary', 'steps', 'had', 'to', 'have', 'been', 'hard', 'in', 'this', 'sense', 'but', 'it', 'has', 'become', 'apparent', 'that', 'this', 'figure', 'may', 'need', 'upward', 'revision', 'because', 'recent', 'studies', 'of', 'climatic', 'instability', 'suggest', 'that', 'the', 'possible', 'future', 'duration', 'of', 'our', 'biologically', 'favourable', 'environment', 'may', 'be', 'shorter', 'than', 'had', 'been', 'supposed', 'only', 'about', 'one', 'giga', 'year', 'rather', 'than', 'five', 'on', 'the', 'basis', 'of', 'the', 'statistical', 'requirement', 'of', 'roughly', 'equal', 'spacing', 'between', 'hard', 'steps', 'it', 'is', 'argued', 'that', 'the', 'best', 'fit', 'with', 'the', 'fossil', 'record', 'is', 'now', 'obtainable', 'by', 'postulating', 'the', 'number', 'of', 'hard', 'steps', 'to', 'be', 'five', 'if', 'our', 'evolution', 'was', 'exclusively', 'terrestrial', 'or', 'six', 'if', 'as', 'now', 'seems', 'very', 'plausible', 'the', 'first', 'step', 'occurred', 'on', 'mars']] | [-0.08064957586833832, 0.15370781450745477, -0.09569620810059674, 0.09019232795245151, -0.07965797185108571, -0.0982907591407361, 0.034149337701018016, 0.3893903087177393, -0.20349128402511085, -0.3586023234628078, 0.1659956386522982, -0.2396273766545642, -0.12420480025505995, 0.2161368243198968, -0.06633867145815896, 0.0375392029118148, 0.09678480825465867, 0.059152801805254764, 0.004192650042152648, -0.30648564359259994, 0.23870105950568282, 0.12165525081070235, 0.20543912542841825, 0.02410342142388414, 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711.1986 | Performance bounds and codes design criteria for channel decoding with
a-priori information | In this article we focus on the problem of channel decoding in presence of
a-priori information. In particular, assuming that the a-priori information
reliability is not perfectly estimated at the receiver, we derive a novel
analytical framework for evaluating the decoder's performance. It is derived
the important result that a "good code", i.e., a code which allows to fully
exploit the potential benefit of a-priori information, must associate
information sequences with high Hamming weights to codewords with low Hamming
weights. Basing on the proposed analysis, we analyze the performance of
convolutional codes, random codes, and turbo codes. Moreover, we consider the
transmission of correlated binary sources from independent nodes, a problem
which has several practical applications, e.g. in the case of sensor networks.
In this context, we propose a very simple joint source-channel turbo decoding
scheme where each decoder works by exploiting a-priori information given by the
other decoder. In the case of block fading channels, it is shown that the
inherent correlation between information signals provide a form of
non-cooperative diversity, thus allowing joint source-channel decoding to
outperform separation-based schemes.
| cs.IT math.IT | in this article we focus on the problem of channel decoding in presence of apriori information in particular assuming that the apriori information reliability is not perfectly estimated at the receiver we derive a novel analytical framework for evaluating the decoders performance it is derived the important result that a good code ie a code which allows to fully exploit the potential benefit of apriori information must associate information sequences with high hamming weights to codewords with low hamming weights basing on the proposed analysis we analyze the performance of convolutional codes random codes and turbo codes moreover we consider the transmission of correlated binary sources from independent nodes a problem which has several practical applications eg in the case of sensor networks in this context we propose a very simple joint sourcechannel turbo decoding scheme where each decoder works by exploiting apriori information given by the other decoder in the case of block fading channels it is shown that the inherent correlation between information signals provide a form of noncooperative diversity thus allowing joint sourcechannel decoding to outperform separationbased schemes | [['in', 'this', 'article', 'we', 'focus', 'on', 'the', 'problem', 'of', 'channel', 'decoding', 'in', 'presence', 'of', 'apriori', 'information', 'in', 'particular', 'assuming', 'that', 'the', 'apriori', 'information', 'reliability', 'is', 'not', 'perfectly', 'estimated', 'at', 'the', 'receiver', 'we', 'derive', 'a', 'novel', 'analytical', 'framework', 'for', 'evaluating', 'the', 'decoders', 'performance', 'it', 'is', 'derived', 'the', 'important', 'result', 'that', 'a', 'good', 'code', 'ie', 'a', 'code', 'which', 'allows', 'to', 'fully', 'exploit', 'the', 'potential', 'benefit', 'of', 'apriori', 'information', 'must', 'associate', 'information', 'sequences', 'with', 'high', 'hamming', 'weights', 'to', 'codewords', 'with', 'low', 'hamming', 'weights', 'basing', 'on', 'the', 'proposed', 'analysis', 'we', 'analyze', 'the', 'performance', 'of', 'convolutional', 'codes', 'random', 'codes', 'and', 'turbo', 'codes', 'moreover', 'we', 'consider', 'the', 'transmission', 'of', 'correlated', 'binary', 'sources', 'from', 'independent', 'nodes', 'a', 'problem', 'which', 'has', 'several', 'practical', 'applications', 'eg', 'in', 'the', 'case', 'of', 'sensor', 'networks', 'in', 'this', 'context', 'we', 'propose', 'a', 'very', 'simple', 'joint', 'sourcechannel', 'turbo', 'decoding', 'scheme', 'where', 'each', 'decoder', 'works', 'by', 'exploiting', 'apriori', 'information', 'given', 'by', 'the', 'other', 'decoder', 'in', 'the', 'case', 'of', 'block', 'fading', 'channels', 'it', 'is', 'shown', 'that', 'the', 'inherent', 'correlation', 'between', 'information', 'signals', 'provide', 'a', 'form', 'of', 'noncooperative', 'diversity', 'thus', 'allowing', 'joint', 'sourcechannel', 'decoding', 'to', 'outperform', 'separationbased', 'schemes']] | 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711.1987 | Nonmonotonic effects of parallel sidewalls on Casimir forces between
cylinders | We analyze the Casimir force between two parallel infinite metal cylinders,
with nearby metal plates (sidewalls), using complementary methods for mutual
confirmation. The attractive force between cylinders is shown to have a
nonmonotonic dependence on the separation to the plates. This intrinsically
multi-body phenomenon, which occurs with either one or two sidewalls
(generalizing an earlier result for squares between two sidewalls), does not
follow from any simple two-body force description. We can, however, explain the
nonmonotonicity by considering the screening (enhancement) of the interactions
by the fluctuating charges (currents) on the two cylinders, and their images on
the nearby plate(s). Furthermore, we show that this effect also implies a
nonmonotonic dependence of the cylinder-plate force on the cylinder-cylinder
separation.
| cond-mat.stat-mech | we analyze the casimir force between two parallel infinite metal cylinders with nearby metal plates sidewalls using complementary methods for mutual confirmation the attractive force between cylinders is shown to have a nonmonotonic dependence on the separation to the plates this intrinsically multibody phenomenon which occurs with either one or two sidewalls generalizing an earlier result for squares between two sidewalls does not follow from any simple twobody force description we can however explain the nonmonotonicity by considering the screening enhancement of the interactions by the fluctuating charges currents on the two cylinders and their images on the nearby plates furthermore we show that this effect also implies a nonmonotonic dependence of the cylinderplate force on the cylindercylinder separation | [['we', 'analyze', 'the', 'casimir', 'force', 'between', 'two', 'parallel', 'infinite', 'metal', 'cylinders', 'with', 'nearby', 'metal', 'plates', 'sidewalls', 'using', 'complementary', 'methods', 'for', 'mutual', 'confirmation', 'the', 'attractive', 'force', 'between', 'cylinders', 'is', 'shown', 'to', 'have', 'a', 'nonmonotonic', 'dependence', 'on', 'the', 'separation', 'to', 'the', 'plates', 'this', 'intrinsically', 'multibody', 'phenomenon', 'which', 'occurs', 'with', 'either', 'one', 'or', 'two', 'sidewalls', 'generalizing', 'an', 'earlier', 'result', 'for', 'squares', 'between', 'two', 'sidewalls', 'does', 'not', 'follow', 'from', 'any', 'simple', 'twobody', 'force', 'description', 'we', 'can', 'however', 'explain', 'the', 'nonmonotonicity', 'by', 'considering', 'the', 'screening', 'enhancement', 'of', 'the', 'interactions', 'by', 'the', 'fluctuating', 'charges', 'currents', 'on', 'the', 'two', 'cylinders', 'and', 'their', 'images', 'on', 'the', 'nearby', 'plates', 'furthermore', 'we', 'show', 'that', 'this', 'effect', 'also', 'implies', 'a', 'nonmonotonic', 'dependence', 'of', 'the', 'cylinderplate', 'force', 'on', 'the', 'cylindercylinder', 'separation']] | [-0.18486091099237287, 0.14126464458949914, -0.12242238627631265, 0.04795829185867729, -0.0654835671640369, -0.14225882314489918, 0.02666554313755649, 0.39788753493931617, -0.22496033667688484, -0.2909190158571015, -0.003211630817440127, -0.30367949176110137, -0.13290042163483298, 0.18605430445931226, -0.01318188096952288, -0.03946619770419197, 0.024108380947982063, -0.015488832492475249, -0.07646419180502348, -0.17983839159220957, 0.3329162161343363, -0.02772204268468395, 0.3058256056754529, 0.1356829570864617, 0.07556656114130962, 0.04759481134472274, 0.03305748735844087, 0.08236253620399271, -0.15025566022740647, 0.059950023216484974, 0.15410412167112866, -0.06192893909580004, 0.2124177953932716, -0.4729668497139228, -0.15482802660084752, 0.08295536987060885, 0.1445844677362998, 0.12188490015208064, -0.052220491756990305, -0.2545071932009789, 0.013723385379407085, -0.1318960161331822, -0.0965291965428051, -0.014607166386201602, 0.03453430420417777, 0.04962470288830614, -0.2491488744785516, 0.08705686291600499, 0.11624203200506814, 0.08279389786307051, -0.0702791271551254, -0.10199284103910337, 0.01589418135332961, 0.10685433290249222, 0.10646995243679012, -0.005250771230618868, 0.16994320719401126, -0.09554647195285984, -0.08124191041237541, 0.32864003621057425, -0.06968985643519574, -0.21698180480482068, 0.27688764477101696, -0.1368283398778123, -0.02375841905762042, 0.10506053366737456, 0.11149928434272571, 0.08863534876184553, -0.16478228200414852, 0.013437534979360663, -0.030302090746421022, 0.16459261395913713, 0.1398355317685534, -0.013171643068125675, 0.2515105321815535, 0.12654094662352958, 0.06716066481694266, 0.164067435571376, -0.09056506961771921, -0.08024899704487477, -0.26860477913077135, -0.13675925637665792, -0.1840932254616891, 0.029371457348676484, -0.09055221347251277, -0.20680475611500873, 0.2862677626593524, 0.10531217119257365, 0.22586239788274304, 0.02975885770498861, 0.3251831028962649, 0.06228039666478123, 0.13112717169383933, 0.02894783252067551, 0.3206478102747038, 0.15328514863572576, 0.06749143024139545, -0.2762149169516726, 0.06567378324420317, 0.0869272008632161] |
711.1988 | Shells around black holes: the effect of freely specifiable quantities
in Einstein's constraint equations | We solve Einstein's constraint equations in the conformal thin-sandwich
decomposition to model thin shells of non-interacting particles in circular
orbit about a non-rotating black hole. We use these simple models to explore
the effects of some of the freely specifiable quantities in this decomposition
on the physical content of the solutions. Specifically, we adopt either maximal
slicing or Kerr-Schild slicing, and make different choices for the value of the
lapse on the black hole horizon. For one particular choice of these quantities
the resulting equations can be solved analytically; for all others we construct
numerical solutions. We find that these different choices have no effect on our
solutions when they are expressed in terms of gauge-invariant quantities.
| gr-qc | we solve einsteins constraint equations in the conformal thinsandwich decomposition to model thin shells of noninteracting particles in circular orbit about a nonrotating black hole we use these simple models to explore the effects of some of the freely specifiable quantities in this decomposition on the physical content of the solutions specifically we adopt either maximal slicing or kerrschild slicing and make different choices for the value of the lapse on the black hole horizon for one particular choice of these quantities the resulting equations can be solved analytically for all others we construct numerical solutions we find that these different choices have no effect on our solutions when they are expressed in terms of gaugeinvariant quantities | [['we', 'solve', 'einsteins', 'constraint', 'equations', 'in', 'the', 'conformal', 'thinsandwich', 'decomposition', 'to', 'model', 'thin', 'shells', 'of', 'noninteracting', 'particles', 'in', 'circular', 'orbit', 'about', 'a', 'nonrotating', 'black', 'hole', 'we', 'use', 'these', 'simple', 'models', 'to', 'explore', 'the', 'effects', 'of', 'some', 'of', 'the', 'freely', 'specifiable', 'quantities', 'in', 'this', 'decomposition', 'on', 'the', 'physical', 'content', 'of', 'the', 'solutions', 'specifically', 'we', 'adopt', 'either', 'maximal', 'slicing', 'or', 'kerrschild', 'slicing', 'and', 'make', 'different', 'choices', 'for', 'the', 'value', 'of', 'the', 'lapse', 'on', 'the', 'black', 'hole', 'horizon', 'for', 'one', 'particular', 'choice', 'of', 'these', 'quantities', 'the', 'resulting', 'equations', 'can', 'be', 'solved', 'analytically', 'for', 'all', 'others', 'we', 'construct', 'numerical', 'solutions', 'we', 'find', 'that', 'these', 'different', 'choices', 'have', 'no', 'effect', 'on', 'our', 'solutions', 'when', 'they', 'are', 'expressed', 'in', 'terms', 'of', 'gaugeinvariant', 'quantities']] | [-0.14396339002996683, 0.07462055252021195, -0.08873786020259826, 0.09031877582634075, -0.09382177887556072, -0.1152683180422546, -0.011179940934237251, 0.3453407835565571, -0.22734004586266401, -0.27635584434526217, 0.12900545315132436, -0.2859535713224377, -0.09612926958590491, 0.17367391217734793, -0.03582539558251444, 0.04798137176877413, 0.03961926402571874, 0.020567633736974154, -0.13898801187284163, -0.24145684220915675, 0.37997959987220603, 0.0006553512484503862, 0.22983256868349436, -0.007738014687107414, 0.11592107383597992, -0.005594081376703122, -0.0033547409579285188, 0.07248822659349595, -0.1959118634807747, 0.06397804050133206, 0.21595515785246922, 0.15575897392347202, 0.2163730005407308, -0.46909173134650684, -0.2081873694387002, 0.07959957293863608, 0.16360412258256832, 0.16176978232036543, -0.03102721192992917, -0.2320271155709385, 0.06219214673400817, -0.19165672686420634, -0.1571517992629391, -0.10208484747757514, 0.02392726621996516, 0.0017133181512706045, -0.21914261697968626, 0.07163152029403509, 0.021875169299320023, -0.041027042218762584, -0.14282889518206224, -0.09390911114258835, -0.025723898403235097, 0.11686552245628574, 0.12185969651073121, -0.05307216289190528, 0.13965684653092653, -0.11626670335451317, -0.08488433889778028, 0.3790946910555801, -0.05120503808109042, -0.33342848606726044, 0.17396177714451766, -0.1563854391654778, -0.143215434335204, 0.03863837417119589, 0.1720496839326289, 0.2105930965576862, -0.15858976011083395, 0.08993715764586535, -0.05327843602808415, 0.14323265976312324, 0.13399897021058405, 0.025574141572046485, 0.27700388341202825, 0.05843553495290888, 0.02877622097929637, 0.1288971567245869, 0.00235572242591944, -0.12192400726967324, -0.33018006309548503, -0.1362404940673747, -0.10499548806279548, 0.08744525130933677, -0.1811008125653791, -0.19925406974796048, 0.3765553029285919, 0.17218741405947816, 0.15458708702642313, 0.037217810317678936, 0.2452187974604929, 0.13944460172305664, 0.0626145641435869, 0.11005877485721667, 0.29693884524028213, 0.07223293100061834, 0.08964818778647304, -0.2137587070465088, 0.0013103049097216537, 0.09429418014434095] |
711.1989 | Evolution in random fitness landscapes: the infinite sites model | We consider the evolution of an asexually reproducing population in an
uncorrelated random fitness landscape in the limit of infinite genome size,
which implies that each mutation generates a new fitness value drawn from a
probability distribution $g(w)$. This is the finite population version of
Kingman's house of cards model [J.F.C. Kingman, \textit{J. Appl. Probab.}
\textbf{15}, 1 (1978)]. In contrast to Kingman's work, the focus here is on
unbounded distributions $g(w)$ which lead to an indefinite growth of the
population fitness. The model is solved analytically in the limit of infinite
population size $N \to \infty$ and simulated numerically for finite $N$. When
the genome-wide mutation probability $U$ is small, the long time behavior of
the model reduces to a point process of fixation events, which is referred to
as a \textit{diluted record process} (DRP). The DRP is similar to the standard
record process except that a new record candidate (a number that exceeds all
previous entries in the sequence) is accepted only with a certain probability
that depends on the values of the current record and the candidate. We develop
a systematic analytic approximation scheme for the DRP. At finite $U$ the
fitness frequency distribution of the population decomposes into a stationary
part due to mutations and a traveling wave component due to selection, which is
shown to imply a reduction of the mean fitness by a factor of $1-U$ compared to
the $U \to 0$ limit.
| q-bio.PE cond-mat.dis-nn | we consider the evolution of an asexually reproducing population in an uncorrelated random fitness landscape in the limit of infinite genome size which implies that each mutation generates a new fitness value drawn from a probability distribution gw this is the finite population version of kingmans house of cards model jfc kingman textitj appl probab textbf15 1 1978 in contrast to kingmans work the focus here is on unbounded distributions gw which lead to an indefinite growth of the population fitness the model is solved analytically in the limit of infinite population size n to infty and simulated numerically for finite n when the genomewide mutation probability u is small the long time behavior of the model reduces to a point process of fixation events which is referred to as a textitdiluted record process drp the drp is similar to the standard record process except that a new record candidate a number that exceeds all previous entries in the sequence is accepted only with a certain probability that depends on the values of the current record and the candidate we develop a systematic analytic approximation scheme for the drp at finite u the fitness frequency distribution of the population decomposes into a stationary part due to mutations and a traveling wave component due to selection which is shown to imply a reduction of the mean fitness by a factor of 1u compared to the u to 0 limit | [['we', 'consider', 'the', 'evolution', 'of', 'an', 'asexually', 'reproducing', 'population', 'in', 'an', 'uncorrelated', 'random', 'fitness', 'landscape', 'in', 'the', 'limit', 'of', 'infinite', 'genome', 'size', 'which', 'implies', 'that', 'each', 'mutation', 'generates', 'a', 'new', 'fitness', 'value', 'drawn', 'from', 'a', 'probability', 'distribution', 'gw', 'this', 'is', 'the', 'finite', 'population', 'version', 'of', 'kingmans', 'house', 'of', 'cards', 'model', 'jfc', 'kingman', 'textitj', 'appl', 'probab', 'textbf15', '1', '1978', 'in', 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711.199 | Magnetism of one-dimensional Wigner lattices and its impact on charge
order | The magnetic phase diagram of the quarter-filled generalized Wigner lattice
with nearest- and next-nearest-neighbor hopping t_1 and t_2 is explored. We
find a region at negative t_2 with fully saturated ferromagnetic ground states
that we attribute to kinetic exchange. Such interaction disfavors
antiferromagnetism at t_2 <0 and stems from virtual excitations across the
charge gap of the Wigner lattice, which is much smaller than the Mott-Hubbard
gap proportional to U. Remarkably, we find a strong dependence of the charge
structure factor on magnetism even in the limit U to infinity, in contrast to
the expectation that charge ordering in the Wigner lattice regime should be
well described by spinless fermions. Our results, obtained using the
density-matrix renormalization group and exact diagonalization, can be
transparently explained by means of an effective low-energy Hamiltonian.
| cond-mat.str-el | the magnetic phase diagram of the quarterfilled generalized wigner lattice with nearest and nextnearestneighbor hopping t_1 and t_2 is explored we find a region at negative t_2 with fully saturated ferromagnetic ground states that we attribute to kinetic exchange such interaction disfavors antiferromagnetism at t_2 0 and stems from virtual excitations across the charge gap of the wigner lattice which is much smaller than the motthubbard gap proportional to u remarkably we find a strong dependence of the charge structure factor on magnetism even in the limit u to infinity in contrast to the expectation that charge ordering in the wigner lattice regime should be well described by spinless fermions our results obtained using the densitymatrix renormalization group and exact diagonalization can be transparently explained by means of an effective lowenergy hamiltonian | [['the', 'magnetic', 'phase', 'diagram', 'of', 'the', 'quarterfilled', 'generalized', 'wigner', 'lattice', 'with', 'nearest', 'and', 'nextnearestneighbor', 'hopping', 't_1', 'and', 't_2', 'is', 'explored', 'we', 'find', 'a', 'region', 'at', 'negative', 't_2', 'with', 'fully', 'saturated', 'ferromagnetic', 'ground', 'states', 'that', 'we', 'attribute', 'to', 'kinetic', 'exchange', 'such', 'interaction', 'disfavors', 'antiferromagnetism', 'at', 't_2', '0', 'and', 'stems', 'from', 'virtual', 'excitations', 'across', 'the', 'charge', 'gap', 'of', 'the', 'wigner', 'lattice', 'which', 'is', 'much', 'smaller', 'than', 'the', 'motthubbard', 'gap', 'proportional', 'to', 'u', 'remarkably', 'we', 'find', 'a', 'strong', 'dependence', 'of', 'the', 'charge', 'structure', 'factor', 'on', 'magnetism', 'even', 'in', 'the', 'limit', 'u', 'to', 'infinity', 'in', 'contrast', 'to', 'the', 'expectation', 'that', 'charge', 'ordering', 'in', 'the', 'wigner', 'lattice', 'regime', 'should', 'be', 'well', 'described', 'by', 'spinless', 'fermions', 'our', 'results', 'obtained', 'using', 'the', 'densitymatrix', 'renormalization', 'group', 'and', 'exact', 'diagonalization', 'can', 'be', 'transparently', 'explained', 'by', 'means', 'of', 'an', 'effective', 'lowenergy', 'hamiltonian']] | [-0.16629023410341964, 0.27163799712004466, -0.030210578683622633, 0.08791156874256999, -0.027596611301167726, -0.13443804658935266, 0.1070657756168988, 0.40476286347786133, -0.28753850697345723, -0.24824381183663552, -0.011960715259192511, -0.33003065367864276, -0.08225460318940211, 0.1060008448548615, 0.09130551865845601, -0.030946669762312067, 0.0063027391407751675, 0.03219111865936694, -0.1424106603019137, -0.19135066667557554, 0.2822320763759005, 0.0008961672349621288, 0.28211196502106206, 0.11002472854416931, 0.023596417609069525, 0.060680684730565794, 0.12275627421596172, 0.0301880525552075, -0.14303393896735736, 0.032796759715314365, 0.2360837657527582, -0.09270625168838623, 0.16973559024115797, -0.4015177299945869, -0.1881182657362484, 0.03196812562545705, 0.18036057063815833, 0.14302308108414186, -0.0017199439294706804, -0.330797220806055, 0.035542355363511226, -0.2075723130560205, -0.14042656929285097, -0.1237650506778719, -0.01128615381480124, -0.03499580482301815, -0.2840505090077358, 0.15607245306719877, 0.03817313587448249, 0.05179034617983482, -0.057438053328289905, -0.13355065493537535, -0.07571955068940014, 0.0855290181017622, 0.05670013600805154, 0.09123562528552473, 0.09465296483672732, -0.10381413144271144, -0.0920152332242155, 0.37728665508753195, -0.09243139583729014, -0.13526362268903264, 0.1599041273372925, -0.21310404938060057, -0.06473076923849118, 0.13707554573193192, 0.03208498069954768, 0.0858490790194606, -0.12670545685008014, 0.13155221233368633, -0.02226858558203799, 0.18481545829016602, -0.0030327508734031157, 0.053143889544475256, 0.20035384991911775, 0.15005789537716543, 0.07767956264698031, 0.13723584122084448, -0.0691297981724016, -0.15044834567974744, -0.24561569840421504, -0.09837342905864882, -0.2873846698432427, 0.09762448425559948, -0.094397679837791, -0.14690298961376716, 0.37903423348766274, 0.13677940725800442, 0.21742631288802702, 0.0023172461931773632, 0.1995400653651097, 0.15336352277716453, 0.08465248994726801, 0.056278432831415114, 0.214827244976098, 0.14971046829172832, 0.06815950615529084, -0.32841737276265287, 0.007070134153984713, 0.102701232167998] |
711.1991 | Transverse Radial Flow Effects on Two- and Three-Particle Angular
Correlations | We use a simple a transverse radial boost scenario coupled to PYTHIA events
to illustrate the impact radial flow may have on two- and three-particle
correlation functions measured in heavy-ion collisions. We show that modest
radial velocities can impart strong modifications to the correlation functions,
some of which may be interpreted as same side ridge and away side structure
that can mimic conical emission.
| nucl-ex | we use a simple a transverse radial boost scenario coupled to pythia events to illustrate the impact radial flow may have on two and threeparticle correlation functions measured in heavyion collisions we show that modest radial velocities can impart strong modifications to the correlation functions some of which may be interpreted as same side ridge and away side structure that can mimic conical emission | [['we', 'use', 'a', 'simple', 'a', 'transverse', 'radial', 'boost', 'scenario', 'coupled', 'to', 'pythia', 'events', 'to', 'illustrate', 'the', 'impact', 'radial', 'flow', 'may', 'have', 'on', 'two', 'and', 'threeparticle', 'correlation', 'functions', 'measured', 'in', 'heavyion', 'collisions', 'we', 'show', 'that', 'modest', 'radial', 'velocities', 'can', 'impart', 'strong', 'modifications', 'to', 'the', 'correlation', 'functions', 'some', 'of', 'which', 'may', 'be', 'interpreted', 'as', 'same', 'side', 'ridge', 'and', 'away', 'side', 'structure', 'that', 'can', 'mimic', 'conical', 'emission']] | [-0.11603907463722862, 0.12908871287072543, -0.1847030750286649, 0.1503414029139094, -0.1169489410094684, -0.1153595654759556, -0.0938246101140976, 0.45852077736344654, -0.2692627143696882, -0.2547138827794697, 0.01047101083349844, -0.2993281288945582, -0.05748844886693405, 0.18507133217644878, 0.009318134107161313, 0.013565299537731335, 0.10210453284889809, -0.008726920110348146, -0.11966321459476603, -0.15576552027778234, 0.29774826948414557, 0.08728435469674878, 0.22802020897506736, 0.14337051576876547, 0.05742233703495003, -0.022737844788935035, -0.0017122610297519714, 0.09956718003377318, -0.09111893052727282, 0.030032013692562032, 0.18222712384158513, 0.06780880451697158, 0.2126832360663684, -0.4325498595717363, -0.23061850792146288, 0.08490713601349853, 0.2065562757779844, 0.12407831801647262, -0.06509554640251736, -0.24723126920798677, 0.06476120067554803, -0.21738667335011996, -0.18107131027500145, -0.0682802483697742, -0.039791745410184376, 0.0822406607621815, -0.2790137137462807, 0.10920061176875606, 0.003468326764050289, 0.034487625627662055, -0.0013467870303429663, -0.11623314509051852, -0.11685790230694693, 0.06423243387689581, 0.050651879486395046, 0.06495773846108932, 0.18574445651756832, -0.11262676747901423, -0.13255577617928793, 0.35100268848327687, -0.09575731951917987, -0.20183203764463542, 0.23337842663750052, -0.21271905975299887, -0.13434978999430314, 0.10837077792893979, 0.2995136135723442, 0.05546394945849897, -0.14997546043105103, -0.051558572451540385, -0.04025465734594036, 0.18216066813329235, 0.12023580400273204, 0.06091974023001967, 0.22452617457020096, 0.023002817410088028, 0.018728419596300228, 0.14263973541892483, -0.14755908496226766, -0.08191328565590084, -0.34598556013952475, -0.08063852394116111, -0.13194716279394925, 0.0467882700249902, -0.08664390935837218, -0.11386878832820457, 0.360546243020508, 0.1078530623090046, 0.27261671688756905, -0.019756015679377015, 0.26506960549158975, 0.10994460352048918, 0.1342584051308222, 0.09073248732602224, 0.2900037777385478, 0.1027427137887571, 0.09208525534631917, -0.2379220878065098, 0.09396133230620762, 0.015843499524635263] |
711.1992 | A misleading Wilsonian fixed point | We exhibit here, for a scalar theory, an apparently non-trivial Wilsonian
fixed point, which surprisingly describes a free theory. This modest note is an
observation which can be of interest in the framework of functional methods in
Quantum Field Theory.
| hep-th hep-ph | we exhibit here for a scalar theory an apparently nontrivial wilsonian fixed point which surprisingly describes a free theory this modest note is an observation which can be of interest in the framework of functional methods in quantum field theory | [['we', 'exhibit', 'here', 'for', 'a', 'scalar', 'theory', 'an', 'apparently', 'nontrivial', 'wilsonian', 'fixed', 'point', 'which', 'surprisingly', 'describes', 'a', 'free', 'theory', 'this', 'modest', 'note', 'is', 'an', 'observation', 'which', 'can', 'be', 'of', 'interest', 'in', 'the', 'framework', 'of', 'functional', 'methods', 'in', 'quantum', 'field', 'theory']] | [-0.14170556637691334, 0.17459378410785575, -0.21009370317915455, 0.04929809928871691, -0.03774515018449165, -0.14123750340659172, 0.01819356181367766, 0.3496672471053898, -0.2663515393156558, -0.2808507296256721, 0.018153310049092396, -0.23257192810997368, -0.25792325790971515, 0.1825662094342988, -0.11436426130821928, -0.011632203869521619, -0.00849833555985242, 0.08921083703171462, -0.08820441644638777, -0.2022176127997227, 0.29888934370537756, 0.026999782919301652, 0.24977985193254426, 0.08690878356574103, 0.08849481844808907, 0.005050223309081048, 0.010059390921378508, 0.09037393368780614, -0.1458065684128087, 0.12984612765721976, 0.285118867456913, 0.06980332222010474, 0.2978528588428162, -0.42306010094471275, -0.23579218601807952, 0.057596267585176976, 0.11874354993924499, 0.19503328886930832, -0.08468139320611953, -0.22369717177934945, 0.08185217934660613, -0.20752060846425593, -0.16968693719245492, -0.09870357327163219, -0.027653843964799307, -0.09051775814732536, -0.24788415413931944, 0.05124765884829685, 0.05010329531505704, 0.10415470565203577, -0.051708096638321877, -0.014099114015698433, 0.07740348634542897, 0.06779787091072649, 0.10191094016772695, 0.07579839919926598, 0.09360203196993097, -0.17580115557066164, -0.13274367393751163, 0.3477598642697558, -0.08337926329113543, -0.17920534778386354, 0.15226919178385287, -0.095652848854661, -0.2165199676528573, 0.11116609373129904, 0.10730214405339211, 0.18641923195682467, -0.1737543886527419, 0.20977514970581979, -0.09152415215503425, 0.18745907266056747, -0.010058053070679307, 0.038565237331204115, 0.24423518422991036, 0.12013600881909951, 0.08820839796680957, 0.08160304543271195, -0.011782227456569672, -0.17042520679533482, -0.3963317099027336, -0.16285811521374854, -0.1881173289148137, 0.10637999316677452, -0.09658312337705866, -0.24296977006597445, 0.3698521102312952, 0.14225202122470365, 0.15904446496861055, 0.002232887392165139, 0.214706090092659, 0.22129957471042871, 0.04960799864493311, 0.031551479373592886, 0.2269390645902604, 0.1406598648405634, 0.044626810599584135, -0.15942727430956438, -0.04625343189109117, 0.05803384257596918] |
711.1993 | Entropy of capacities on lattices and set systems | We propose a definition for the entropy of capacities defined on lattices.
Classical capacities are monotone set functions and can be seen as a
generalization of probability measures. Capacities on lattices address the
general case where the family of subsets is not necessarily the Boolean lattice
of all subsets. Our definition encompasses the classical definition of Shannon
for probability measures, as well as the entropy of Marichal defined for
classical capacities. Some properties and examples are given.
| cs.DM math.ST stat.TH | we propose a definition for the entropy of capacities defined on lattices classical capacities are monotone set functions and can be seen as a generalization of probability measures capacities on lattices address the general case where the family of subsets is not necessarily the boolean lattice of all subsets our definition encompasses the classical definition of shannon for probability measures as well as the entropy of marichal defined for classical capacities some properties and examples are given | [['we', 'propose', 'a', 'definition', 'for', 'the', 'entropy', 'of', 'capacities', 'defined', 'on', 'lattices', 'classical', 'capacities', 'are', 'monotone', 'set', 'functions', 'and', 'can', 'be', 'seen', 'as', 'a', 'generalization', 'of', 'probability', 'measures', 'capacities', 'on', 'lattices', 'address', 'the', 'general', 'case', 'where', 'the', 'family', 'of', 'subsets', 'is', 'not', 'necessarily', 'the', 'boolean', 'lattice', 'of', 'all', 'subsets', 'our', 'definition', 'encompasses', 'the', 'classical', 'definition', 'of', 'shannon', 'for', 'probability', 'measures', 'as', 'well', 'as', 'the', 'entropy', 'of', 'marichal', 'defined', 'for', 'classical', 'capacities', 'some', 'properties', 'and', 'examples', 'are', 'given']] | [-0.11511611880881614, 0.11711319816592884, -0.010519052659602542, 0.09311560787242151, -0.01773514537949507, -0.13535141862781816, 0.1076957002698787, 0.32877532054523106, -0.29483649611326035, -0.1990946598203951, 0.11217177379723198, -0.2939136138087825, -0.13479503601985543, 0.2499234697928554, -0.16553597764945344, 0.10245972153681673, -0.00375747167211222, 0.10914570984038476, -0.08995302109121296, -0.26979710404319984, 0.3676451987274432, -0.009962685240775739, 0.26726034453972, 0.09307362346934449, 0.05736725067866868, 0.005924533942322198, -0.02254577703455365, 0.10440171098238543, -0.17450894866334765, 0.11686215240287741, 0.2349800226082535, 0.20232167946003182, 0.25194894017553643, -0.33515626035238566, -0.26834578792515557, 0.1718882011176136, 0.07117898557580223, 0.047961082015382614, 0.03554495743714812, -0.2370802702743707, 0.05031314367232354, -0.16538984661211112, -0.09964386315550655, -0.11014244563289378, 0.006074680805843519, 0.11212810623998705, -0.2810734184765208, 0.03501647313762652, 0.10908351710072327, 0.07043731607298373, -0.05154859113482464, -0.14299811798876985, 0.0041676462033616475, 0.11493175347507197, -0.0401165669839094, 0.022122322557199942, 0.10073298959086012, -0.0904527340317145, -0.19421155079218902, 0.39779379970231704, -0.007039826473613319, -0.30449040881113004, 0.17790889507772303, -0.13677888087879278, -0.13262218578816637, 0.024996219576630545, 0.13972187119438068, 0.13454662096735678, -0.12004454783163965, 0.10338559046871715, -0.10506453548901175, 0.07924991412284343, 0.08438157584322126, 0.1840833977797669, 0.18043204568522542, 0.07784197124113378, 0.11200444761198014, 0.2270004133629539, 0.007263860830694045, -0.19692346319482712, -0.3305522213585822, -0.1815851018028824, -0.23882073350403898, 0.0934751093616222, -0.07905620603943182, -0.21343278777394994, 0.3540913014378595, 0.04360587051288396, 0.20385894792056397, 0.1782299110200256, 0.22970837567883887, 0.12630371207935814, 0.049626758113797555, 0.08645800339352143, 0.09274880001880535, 0.15629845759586283, 0.0082108546109674, -0.11010421613556039, 0.08599314236964442, 0.15195323482744003] |
711.1994 | Coherence Induced by Incoherent Pumping Field and Decay Process in
Three-level $\Lambda$ Type Atomic System | Following the method of Victor V. Kozlov et al.[PhysRevA. 74. 063829],we
inspect the coherence induced by incoherent pump and spontaneous decay process
in $\Lambda$ type three-level atomic system with degenerated lower duplicate
levels. The system shows a coherent population trapping state and multi-steady
states characteristic in different conditions. Interestingly, two kinds of
steady states generated by the system in different sets of pumping and decaying
parameters, the "singlet" state and the "triplet" state, exhibit stable or
unstable characteristics under the action of pumping field and vacuum
reservoir, which promise fruitful applications to atomic coherence and
interference in quantum optics.
| quant-ph | following the method of victor v kozlov et alphysreva 74 063829we inspect the coherence induced by incoherent pump and spontaneous decay process in lambda type threelevel atomic system with degenerated lower duplicate levels the system shows a coherent population trapping state and multisteady states characteristic in different conditions interestingly two kinds of steady states generated by the system in different sets of pumping and decaying parameters the singlet state and the triplet state exhibit stable or unstable characteristics under the action of pumping field and vacuum reservoir which promise fruitful applications to atomic coherence and interference in quantum optics | [['following', 'the', 'method', 'of', 'victor', 'v', 'kozlov', 'et', 'alphysreva', '74', '063829we', 'inspect', 'the', 'coherence', 'induced', 'by', 'incoherent', 'pump', 'and', 'spontaneous', 'decay', 'process', 'in', 'lambda', 'type', 'threelevel', 'atomic', 'system', 'with', 'degenerated', 'lower', 'duplicate', 'levels', 'the', 'system', 'shows', 'a', 'coherent', 'population', 'trapping', 'state', 'and', 'multisteady', 'states', 'characteristic', 'in', 'different', 'conditions', 'interestingly', 'two', 'kinds', 'of', 'steady', 'states', 'generated', 'by', 'the', 'system', 'in', 'different', 'sets', 'of', 'pumping', 'and', 'decaying', 'parameters', 'the', 'singlet', 'state', 'and', 'the', 'triplet', 'state', 'exhibit', 'stable', 'or', 'unstable', 'characteristics', 'under', 'the', 'action', 'of', 'pumping', 'field', 'and', 'vacuum', 'reservoir', 'which', 'promise', 'fruitful', 'applications', 'to', 'atomic', 'coherence', 'and', 'interference', 'in', 'quantum', 'optics']] | [-0.1569282538451565, 0.24445872123275572, -0.05513906871298483, 0.054521390540780125, 0.0535831594049038, -0.20349626642322013, 0.05564744559766647, 0.35675303525446606, -0.283489314650069, -0.2816136433830252, 0.03333640592124235, -0.24403134768363088, -0.05736537704312165, 0.18081058793419894, 0.017841517241322435, 0.06538061383616878, 0.06511543359253362, -0.013922448597440962, 0.0118507641357913, -0.20522592360066483, 0.3787240437231958, -0.011831462918053148, 0.35605666652069584, -0.0018703600586983764, 0.09122568754294964, -0.010592185118487881, 0.0759947275655577, -0.040365705509126805, -0.08202267482799168, 0.06316315463421536, 0.20386312196205836, 0.07868583123005617, 0.23049048394265506, -0.4234440624228834, -0.19276708364486694, 0.09470945913926698, 0.10889117678774103, 0.159339579417671, -0.037227264752497526, -0.3784935345320264, -0.0021113059774506837, -0.16328662068311436, -0.13382650295776935, -0.0753281633885005, 0.06757220685176435, 0.0056223974243039265, -0.2690786311868578, 0.0852263256480607, 0.08349863884844429, 0.0668989819799511, -0.08768184740135136, -0.09714971151091352, -0.04306179323612014, 0.08318792650000735, -0.02004384474791247, -0.029542573814978823, 0.14439089647203218, -0.16791538616477433, -0.12865739716410948, 0.3066337877535261, -0.1333593644303619, -0.10592986222278948, 0.20548317874393737, -0.13212202242963636, -0.04150510150793707, 0.1803909352820483, 0.1033915367819039, 0.099135919183027, -0.1004209472060514, 0.05963539261938422, 0.013755247737814594, 0.16754889354342595, 0.11918617259167756, 0.154092196651618, 0.1786668230245899, 0.11550439554654683, 0.06384641024245259, 0.16510547489936775, -0.07012905310451363, -0.1418842896212785, -0.26085085214920883, -0.13461505986439684, -0.1403428314248837, 0.09560515190969454, -0.0013325371537575847, -0.10354369347624015, 0.4289843257283792, 0.10170607898423138, 0.1465257415305435, -0.08156763795098716, 0.25118838890921324, 0.12391174313961528, 0.011721196603806069, 0.03389174657058902, 0.23285605235529752, 0.16812155060567116, 0.08257313888558808, -0.3241060393823621, 0.018544874629393842, 0.00414370412666661] |
711.1995 | Quantum de Sitter Space-Time and the Dark Energy | Three years ago, we introduced a new way to quantize the static Schwarzschild
black hole(SSBH), there the SSBH was first treated as a single periodic
Euclidean system and then the Bohr-Sommerfeld quantum condition of action was
used to obtain a quantum theory of Schwarzschild black hole.[1] Now in this
short report, we try to extend the above method to quantize the static de
Sitter(SDS) space-time and establish a quantum theory of both SDS space and
dark energy.
| gr-qc | three years ago we introduced a new way to quantize the static schwarzschild black holessbh there the ssbh was first treated as a single periodic euclidean system and then the bohrsommerfeld quantum condition of action was used to obtain a quantum theory of schwarzschild black hole1 now in this short report we try to extend the above method to quantize the static de sittersds spacetime and establish a quantum theory of both sds space and dark energy | [['three', 'years', 'ago', 'we', 'introduced', 'a', 'new', 'way', 'to', 'quantize', 'the', 'static', 'schwarzschild', 'black', 'holessbh', 'there', 'the', 'ssbh', 'was', 'first', 'treated', 'as', 'a', 'single', 'periodic', 'euclidean', 'system', 'and', 'then', 'the', 'bohrsommerfeld', 'quantum', 'condition', 'of', 'action', 'was', 'used', 'to', 'obtain', 'a', 'quantum', 'theory', 'of', 'schwarzschild', 'black', 'hole1', 'now', 'in', 'this', 'short', 'report', 'we', 'try', 'to', 'extend', 'the', 'above', 'method', 'to', 'quantize', 'the', 'static', 'de', 'sittersds', 'spacetime', 'and', 'establish', 'a', 'quantum', 'theory', 'of', 'both', 'sds', 'space', 'and', 'dark', 'energy']] | [-0.13137838049243167, 0.10346526624507284, -0.13361140924237974, 0.12413644201715464, -0.08854258457224255, -0.15705656188808076, 0.025194756894002426, 0.3025103995117219, -0.2170746714284975, -0.27882448141144156, 0.05512315797466427, -0.24879343796215236, -0.16202911511318732, 0.15363456393043473, -0.11145683700754626, 0.08016096399331542, -0.017306203737038457, 0.09996429919775525, -0.11882224201849878, -0.27813994026207045, 0.3277881500272922, 0.06930301024750743, 0.2174205417196228, 0.003332079732663011, 0.15892873842856042, 0.0354098145505541, 0.01576885440680262, 0.024175392782350695, -0.19573443695545606, 0.08626238205661513, 0.21584949586285304, 0.11813136821689263, 0.2551147518456237, -0.42217121699391164, -0.24455960351361394, 0.07174651190791637, 0.12515663484443132, 0.2050839299718811, -0.05464541424729236, -0.31272484780582666, 0.1242474227735441, -0.21582272051744264, -0.1562239157852449, -0.06340727347989043, 0.018661037189503238, -0.08757829421187101, -0.16504312471218713, 0.05205238024921042, 0.03667506417387152, -0.030382675016681626, -0.12858159186267484, -0.00841873892334175, 0.03117285818754606, 0.1362618308718482, 0.05328202658422189, 0.05604859058703742, 0.10736513990041328, -0.025299164811021662, -0.14968636628776177, 0.38053036410973906, -0.09558662784203914, -0.19347009271995663, 0.15306819876502842, -0.15740392552305982, -0.09395359216691697, 0.051399310132207936, 0.12614989495032455, 0.20974411760546166, -0.18097830581644628, 0.145759660945982, -0.004723050976044511, 0.16391054186204526, 0.14808630401089992, 0.03155941204869584, 0.25733078731708736, 0.1180370115126445, 0.0457515789782756, 0.16836331463227533, -0.07027738561139327, -0.1423405275157053, -0.31526375202181406, -0.18677528880932048, -0.147693350783562, 0.11786220352203675, -0.04800259717999262, -0.19957536575065493, 0.335735017886666, 0.12193113656025635, 0.16865067830156177, 0.01934891715900947, 0.265118660134174, 0.09198378429473825, 0.0062650553180440645, 0.07219202792246456, 0.2976225388765794, 0.16153419465273108, 0.16719270317674909, -0.15955875773773823, -0.13728356807913683, 0.12911826662387546] |
711.1996 | Quantum FRW cosmological solutions in the presence of Chaplygin gas and
perfect fluid | We present a Friedmann-Robertson-Walker quantum cosmological model in the
presence of Chaplygin gas and perfect fluid for early and late time epoches. In
this work, we consider perfect fluid as an effective potential and apply
Schutz's variational formalism to the Chaplygin gas which recovers the notion
of time. These give rise to Schr\"odinger-Wheeler-DeWitt equation for the scale
factor. We use the eigenfunctions in order to construct wave packets and study
the time dependent behavior of the expectation value of the scale factor using
the many-worlds interpretation of quantum mechanics. We show that contrary to
the classical case, the expectation value of the scale factor avoids
singularity at quantum level. Moreover, this model predicts that the expansion
of Universe is accelerating for the late times.
| gr-qc | we present a friedmannrobertsonwalker quantum cosmological model in the presence of chaplygin gas and perfect fluid for early and late time epoches in this work we consider perfect fluid as an effective potential and apply schutzs variational formalism to the chaplygin gas which recovers the notion of time these give rise to schrodingerwheelerdewitt equation for the scale factor we use the eigenfunctions in order to construct wave packets and study the time dependent behavior of the expectation value of the scale factor using the manyworlds interpretation of quantum mechanics we show that contrary to the classical case the expectation value of the scale factor avoids singularity at quantum level moreover this model predicts that the expansion of universe is accelerating for the late times | [['we', 'present', 'a', 'friedmannrobertsonwalker', 'quantum', 'cosmological', 'model', 'in', 'the', 'presence', 'of', 'chaplygin', 'gas', 'and', 'perfect', 'fluid', 'for', 'early', 'and', 'late', 'time', 'epoches', 'in', 'this', 'work', 'we', 'consider', 'perfect', 'fluid', 'as', 'an', 'effective', 'potential', 'and', 'apply', 'schutzs', 'variational', 'formalism', 'to', 'the', 'chaplygin', 'gas', 'which', 'recovers', 'the', 'notion', 'of', 'time', 'these', 'give', 'rise', 'to', 'schrodingerwheelerdewitt', 'equation', 'for', 'the', 'scale', 'factor', 'we', 'use', 'the', 'eigenfunctions', 'in', 'order', 'to', 'construct', 'wave', 'packets', 'and', 'study', 'the', 'time', 'dependent', 'behavior', 'of', 'the', 'expectation', 'value', 'of', 'the', 'scale', 'factor', 'using', 'the', 'manyworlds', 'interpretation', 'of', 'quantum', 'mechanics', 'we', 'show', 'that', 'contrary', 'to', 'the', 'classical', 'case', 'the', 'expectation', 'value', 'of', 'the', 'scale', 'factor', 'avoids', 'singularity', 'at', 'quantum', 'level', 'moreover', 'this', 'model', 'predicts', 'that', 'the', 'expansion', 'of', 'universe', 'is', 'accelerating', 'for', 'the', 'late', 'times']] | [-0.11263194068564072, 0.10323238251611098, -0.1329871626165245, 0.06161805165972891, -0.05803049397805045, -0.11209720322644458, -0.01575792389320991, 0.2899662011242922, -0.2434047256096927, -0.28325427211295334, 0.049379394473949255, -0.22710229068123286, -0.10659205061646419, 0.12082096377402664, -0.017080856179217657, 0.04000256608630861, 0.009344412511469977, 0.0461175904136091, -0.06484611944160273, -0.26291064415765447, 0.3530062566522599, 0.12958932856582256, 0.2522001687001677, 0.03456098809763188, 0.14663790843840088, -0.026752910178695476, 0.009577543241903186, 0.01575598457918292, -0.18834456232915756, 0.04283520880515777, 0.2051586278154695, 0.10026534698197558, 0.2530750551433753, -0.4460451177081033, -0.24607049586859742, 0.1220155882596549, 0.12002768058840546, 0.17355312516954127, -0.01670040931522606, -0.25028650125210744, 0.03488044947528491, -0.18704515303515137, -0.1959007220800906, -0.056692832307289207, 0.010200455499392363, -0.07135134339032154, -0.22345735547283002, 0.19438397992405132, 0.028510969789368252, -0.032202225298650806, -0.09662196131783628, -0.04967343469991559, 0.07765391616680238, 0.04323955953840332, 0.062471574904667516, 0.024237706639753248, 0.1178314924585603, -0.16618560531717394, -0.09175291428372505, 0.4239693129915864, -0.13752971701943617, -0.1448371130672674, 0.132344989917211, -0.1400830162005619, -0.10406974298248609, 0.07330285788010506, 0.13558937383875733, 0.09134708759149597, -0.10527856551456236, 0.12877529849966748, -0.013935980582191991, 0.14783890689197446, 0.08811820855724715, 0.020019159105891783, 0.19321915186611155, 0.12138002682777663, 0.019702609530800292, 0.12966704240534455, -0.05019942551640974, -0.18827856352342473, -0.35402544003520764, -0.2183712082650081, -0.16271500354031881, 0.10230339904005485, -0.13315811176406925, -0.19507380771345548, 0.3840538810848469, 0.18758418088574189, 0.21030138606100432, 0.08808025063650173, 0.26397607722620087, 0.15942690356901185, -0.008741224755442912, 0.11058295564538229, 0.23780932835859037, 0.1129781644445874, 0.1169430164154619, -0.24106605721059285, 0.013043014486620744, 0.09136451622321] |
711.1997 | s-Wave Approximation for Asymmetry in Nonmesonic Decay of Finite
Hypernuclei | We establish the bridge between the commonly used
Nabetani-Ogaito-Sato-Kishimoto (NOSK) formula for the asymmetry parameter
$a_\Lambda$ in the $\vec\Lambda p \to np$ emission of polarized hypernuclei,
and the shell model (SM) formalism for finite hypernuclei. We demonstrate that
the s-wave approximation leads to a SM formula for $a_\Lambda$ that is as
simple as the NOSK one, and that reproduces the exact results for
$^5_\Lambda$He and $^{12}_\Lambda$C better than initially expected. The
simplicity achieved here is indeed remarkable. The new formalism makes the
theoretical evaluation of $a_\Lambda$ more transparent, and explains clearly
why the one-meson exchange model is unable to account for the experimental data
of $^5_\Lambda$He.
| nucl-th | we establish the bridge between the commonly used nabetaniogaitosatokishimoto nosk formula for the asymmetry parameter a_lambda in the veclambda p to np emission of polarized hypernuclei and the shell model sm formalism for finite hypernuclei we demonstrate that the swave approximation leads to a sm formula for a_lambda that is as simple as the nosk one and that reproduces the exact results for 5_lambdahe and 12_lambdac better than initially expected the simplicity achieved here is indeed remarkable the new formalism makes the theoretical evaluation of a_lambda more transparent and explains clearly why the onemeson exchange model is unable to account for the experimental data of 5_lambdahe | [['we', 'establish', 'the', 'bridge', 'between', 'the', 'commonly', 'used', 'nabetaniogaitosatokishimoto', 'nosk', 'formula', 'for', 'the', 'asymmetry', 'parameter', 'a_lambda', 'in', 'the', 'veclambda', 'p', 'to', 'np', 'emission', 'of', 'polarized', 'hypernuclei', 'and', 'the', 'shell', 'model', 'sm', 'formalism', 'for', 'finite', 'hypernuclei', 'we', 'demonstrate', 'that', 'the', 'swave', 'approximation', 'leads', 'to', 'a', 'sm', 'formula', 'for', 'a_lambda', 'that', 'is', 'as', 'simple', 'as', 'the', 'nosk', 'one', 'and', 'that', 'reproduces', 'the', 'exact', 'results', 'for', '5_lambdahe', 'and', '12_lambdac', 'better', 'than', 'initially', 'expected', 'the', 'simplicity', 'achieved', 'here', 'is', 'indeed', 'remarkable', 'the', 'new', 'formalism', 'makes', 'the', 'theoretical', 'evaluation', 'of', 'a_lambda', 'more', 'transparent', 'and', 'explains', 'clearly', 'why', 'the', 'onemeson', 'exchange', 'model', 'is', 'unable', 'to', 'account', 'for', 'the', 'experimental', 'data', 'of', '5_lambdahe']] | [-0.036557235998029194, 0.10053817489980132, -0.12264981446335617, 0.1912704763868462, -0.06406038649181284, -0.17695165864526502, 0.05641069086562408, 0.3498009973504011, -0.21289836741911555, -0.26978269500603663, -0.05639401255107657, -0.3029796163216957, -0.08854129375184625, 0.19601847869298847, 0.02186490732326525, 0.013171536576690025, 0.019890818130044105, 0.00691455291602218, -0.045164805251508226, -0.16442744840768356, 0.27029374332248585, 0.058369948399859, 0.24974743649815617, 0.1388120067857423, 0.0465696554154031, 0.02604556394270757, 0.037348841493316354, -0.031505047881668344, -0.155527130681363, 0.11871541363019858, 0.23087836157313538, 0.08445823155524372, 0.1470048369170682, -0.3963547035219889, -0.16062220808082414, 0.094187081113313, 0.15739695974670856, 0.12867777499379318, -0.018222383714707125, -0.2469242485420941, 0.11069493612401116, -0.20301663809573478, -0.16646553581417764, -0.12292126976676936, 0.045953840012797745, -0.023756362440164012, -0.30331122379713843, 0.07949504839003231, 0.048325682211513586, -0.004541404002789155, -0.06765832374713303, -0.16150930743592168, -0.011234285515615517, 0.051047201503466054, 0.09080111831245781, 0.041649907994653707, 0.05761263943819817, -0.09849071171297466, -0.07685751363056377, 0.42412975663545277, -0.09304746431007516, -0.13739796170006388, 0.12280078552373984, -0.14356020640003161, -0.10701149501086177, 0.1053361409926986, 0.0688568258802723, 0.09321928790598674, -0.12339949502510209, 0.11417960347291263, -0.05494241114904724, 0.16945258837681518, 0.016949354906032964, 0.02458855971576447, 0.11383230587268628, 0.17877613787439842, -0.009743852450430971, 0.10622293760014463, -0.08714481624684216, -0.1446647381554674, -0.3484601633379109, -0.15649969983701562, -0.13682730540235355, 0.013555506181008028, -0.07601895191285983, -0.12122127650423174, 0.353157556687046, 0.14950110595130806, 0.20537845161065316, 0.057125760296594746, 0.3111524311735213, 0.10244643995402725, 0.06046224416694739, 0.00035427437950540515, 0.2900688789821076, 0.18208174494737125, 0.06629333801983485, -0.25302391045826295, 0.09889575665889, 0.020784513906743015] |
711.1998 | On the spectral gap in Andreev graphs | We introduce Andreev scattering (electron-hole conversion at an interface of
a normal conductor to a superconductor) at the outer vertices of a quantum star
graph and examine its effect on the spectrum. More specifically we show that
the density of states in Andreev graphs is suppressed near the Fermi energy
where a spectral gap may occur. The size and existence of such a gap depends on
one side on the Andreev scattering amplitudes and, on the other side,on the
properties of the electron-electron scattering matrix at the central vertex. We
also show that the bond length fluctuations have a minor effect on the spectrum
near the Fermi energy.
| cond-mat.supr-con cond-mat.dis-nn math-ph math.MP | we introduce andreev scattering electronhole conversion at an interface of a normal conductor to a superconductor at the outer vertices of a quantum star graph and examine its effect on the spectrum more specifically we show that the density of states in andreev graphs is suppressed near the fermi energy where a spectral gap may occur the size and existence of such a gap depends on one side on the andreev scattering amplitudes and on the other sideon the properties of the electronelectron scattering matrix at the central vertex we also show that the bond length fluctuations have a minor effect on the spectrum near the fermi energy | [['we', 'introduce', 'andreev', 'scattering', 'electronhole', 'conversion', 'at', 'an', 'interface', 'of', 'a', 'normal', 'conductor', 'to', 'a', 'superconductor', 'at', 'the', 'outer', 'vertices', 'of', 'a', 'quantum', 'star', 'graph', 'and', 'examine', 'its', 'effect', 'on', 'the', 'spectrum', 'more', 'specifically', 'we', 'show', 'that', 'the', 'density', 'of', 'states', 'in', 'andreev', 'graphs', 'is', 'suppressed', 'near', 'the', 'fermi', 'energy', 'where', 'a', 'spectral', 'gap', 'may', 'occur', 'the', 'size', 'and', 'existence', 'of', 'such', 'a', 'gap', 'depends', 'on', 'one', 'side', 'on', 'the', 'andreev', 'scattering', 'amplitudes', 'and', 'on', 'the', 'other', 'sideon', 'the', 'properties', 'of', 'the', 'electronelectron', 'scattering', 'matrix', 'at', 'the', 'central', 'vertex', 'we', 'also', 'show', 'that', 'the', 'bond', 'length', 'fluctuations', 'have', 'a', 'minor', 'effect', 'on', 'the', 'spectrum', 'near', 'the', 'fermi', 'energy']] | [-0.195384168379759, 0.1597822600560903, -0.10192403893355124, 0.08398782198545868, -0.02808166867234158, -0.08646984302214589, 0.09052306490182807, 0.3490373487584293, -0.25811126658313527, -0.25077012001916216, 0.011078490969440382, -0.36736415543903905, -0.10275301874477279, 0.1684750763664919, 0.016867489868740516, -0.026731637703724793, 0.0311224656438248, 0.07154842409201795, -0.07657629175486767, -0.17952293439049283, 0.40310730316667576, 0.04554604620702944, 0.2718312152838162, 0.16803651388424137, 0.01715937562511061, 0.06380732780908821, 0.08210485860386312, -0.00614269716768629, -0.14675393709721565, 0.06277803633377145, 0.2155227650526083, -0.059452564468503825, 0.18008535574362786, -0.4465605731950038, -0.18548065591797544, 0.04805075332384418, 0.1196841672407808, 0.10485769658892725, -0.038375126244958396, -0.26118869964179964, 0.036576845126950905, -0.14886379172094166, -0.10766213196459123, 0.04465510475630355, 0.015721672731969092, -0.052702456566125704, -0.21944405850781887, 0.06284101408905203, 0.053225410063061175, 0.01814554801590189, -0.020363135399141658, -0.11066780981814696, -0.069728930644622, 0.06991992482950014, -0.011166342217216475, -0.024744822397931583, 0.16040375904709367, -0.17038296620982388, -0.09298287132535027, 0.3283864995443124, -0.05869190554841663, -0.11293547520741683, 0.18673134696480162, -0.20719406856396408, -0.09323964619802104, 0.1674416709251495, 0.16115131809514155, 0.07572744726160265, -0.07154293989127904, 0.10360004906208443, -0.06600004455820588, 0.1549935457814071, 0.09529793132700164, 0.08650092748683635, 0.2508196980149175, 0.16620897681072908, 0.12332383630995604, 0.13226034639767562, -0.17767384504744163, -0.005664454113381605, -0.2992438593085993, -0.12960607542966804, -0.2465536646993348, 0.05722895961392809, -0.07204146406797075, -0.20192172580088177, 0.42897281562047146, 0.09881785445247294, 0.22678588041432063, 0.009611937928841345, 0.24748738527435948, 0.18330945675175084, 0.08146334528767814, 0.12753755497504715, 0.23113872140163072, 0.13586565027448902, 0.048199689244265084, -0.3490588248974678, 0.06757616433875498, 0.017933589669323905] |
711.1999 | NH3 Observations of the Infrared Dark Cloud G28.34+0.06 | We present observations of the \nh3 (J,K) = (1,1) and (2,2) inversion
transitions toward the infrared dark cloud G28.34+0.06, using the Very Large
Array. Strong NH3 emission is found to coincide well with the infrared
absorption feature in this cloud. The northern region of G28.34+0.06 is
dominated by a compact clump (P2) with a high rotation temperature (29 K),
large line width (4.3 km s$^{-1}$), and is associated with strong water maser
(240 Jy) and a 24 $\mu$m point source with far IR luminosity of $10^3$ \lsun.
We infer that P2 has embedded massive protostars although it lies in the 8
$\mu$m absorption region. The southern region has filamentary structures. The
rotation temperature in the southern region decreases with the increase of the
integrated NH3 intensity, which indicates an absence of strong internal heating
in these clumps. In addition, the compact core P1 in the south has small line
width (1.2 km s$^{-1}$) surrounded by extended emission with larger line width
(1.8 km s$^{-1}$), which suggests a dissipation of turbulence in the dense part
of the cloud. Thus, we suggest that P1 is at a much earlier evolutionary stage
than P2, possibly at a stage that begins to form a cluster with massive stars.
| astro-ph | we present observations of the nh3 jk 11 and 22 inversion transitions toward the infrared dark cloud g2834006 using the very large array strong nh3 emission is found to coincide well with the infrared absorption feature in this cloud the northern region of g2834006 is dominated by a compact clump p2 with a high rotation temperature 29 k large line width 43 km s1 and is associated with strong water maser 240 jy and a 24 mum point source with far ir luminosity of 103 lsun we infer that p2 has embedded massive protostars although it lies in the 8 mum absorption region the southern region has filamentary structures the rotation temperature in the southern region decreases with the increase of the integrated nh3 intensity which indicates an absence of strong internal heating in these clumps in addition the compact core p1 in the south has small line width 12 km s1 surrounded by extended emission with larger line width 18 km s1 which suggests a dissipation of turbulence in the dense part of the cloud thus we suggest that p1 is at a much earlier evolutionary stage than p2 possibly at a stage that begins to form a cluster with massive stars | [['we', 'present', 'observations', 'of', 'the', 'nh3', 'jk', '11', 'and', '22', 'inversion', 'transitions', 'toward', 'the', 'infrared', 'dark', 'cloud', 'g2834006', 'using', 'the', 'very', 'large', 'array', 'strong', 'nh3', 'emission', 'is', 'found', 'to', 'coincide', 'well', 'with', 'the', 'infrared', 'absorption', 'feature', 'in', 'this', 'cloud', 'the', 'northern', 'region', 'of', 'g2834006', 'is', 'dominated', 'by', 'a', 'compact', 'clump', 'p2', 'with', 'a', 'high', 'rotation', 'temperature', '29', 'k', 'large', 'line', 'width', '43', 'km', 's1', 'and', 'is', 'associated', 'with', 'strong', 'water', 'maser', '240', 'jy', 'and', 'a', '24', 'mum', 'point', 'source', 'with', 'far', 'ir', 'luminosity', 'of', '103', 'lsun', 'we', 'infer', 'that', 'p2', 'has', 'embedded', 'massive', 'protostars', 'although', 'it', 'lies', 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0.14083947503498842, -0.21156784316399846, 0.0011886614123562905, -0.026262663078856805] |
711.2 | Circular spectrum and bounded solutions of periodic evolution equations | We consider the existence and uniqueness of bounded solutions of periodic
evolution equations of the form $u'=A(t)u+\epsilon H(t,u)+f(t)$, where $A(t)$
is, in general, an unbounded operator depending 1-periodically on $t$, $H$ is
1-periodic in $t$, $\epsilon$ is small, and $f$ is a bounded and continuous
function that is not necessarily uniformly continuous. We propose a new
approach to the spectral theory of functions via the concept of "circular
spectrum" and then apply it to study the linear equations $u'=A(t)u+f(t)$ with
general conditions on $f$. For small $\epsilon$ we show that the perturbed
equation inherits some properties of the linear unperturbed one. The main
results extend recent results in the direction, saying that if the unitary
spectrum of the monodromy operator does not intersect the circular spectrum of
$f$, then the evolution equation has a unique mild solution with its circular
spectrum contained in the circular spectrum of $f$.
| math.DS math.FA | we consider the existence and uniqueness of bounded solutions of periodic evolution equations of the form uatuepsilon htuft where at is in general an unbounded operator depending 1periodically on t h is 1periodic in t epsilon is small and f is a bounded and continuous function that is not necessarily uniformly continuous we propose a new approach to the spectral theory of functions via the concept of circular spectrum and then apply it to study the linear equations uatuft with general conditions on f for small epsilon we show that the perturbed equation inherits some properties of the linear unperturbed one the main results extend recent results in the direction saying that if the unitary spectrum of the monodromy operator does not intersect the circular spectrum of f then the evolution equation has a unique mild solution with its circular spectrum contained in the circular spectrum of f | [['we', 'consider', 'the', 'existence', 'and', 'uniqueness', 'of', 'bounded', 'solutions', 'of', 'periodic', 'evolution', 'equations', 'of', 'the', 'form', 'uatuepsilon', 'htuft', 'where', 'at', 'is', 'in', 'general', 'an', 'unbounded', 'operator', 'depending', '1periodically', 'on', 't', 'h', 'is', '1periodic', 'in', 't', 'epsilon', 'is', 'small', 'and', 'f', 'is', 'a', 'bounded', 'and', 'continuous', 'function', 'that', 'is', 'not', 'necessarily', 'uniformly', 'continuous', 'we', 'propose', 'a', 'new', 'approach', 'to', 'the', 'spectral', 'theory', 'of', 'functions', 'via', 'the', 'concept', 'of', 'circular', 'spectrum', 'and', 'then', 'apply', 'it', 'to', 'study', 'the', 'linear', 'equations', 'uatuft', 'with', 'general', 'conditions', 'on', 'f', 'for', 'small', 'epsilon', 'we', 'show', 'that', 'the', 'perturbed', 'equation', 'inherits', 'some', 'properties', 'of', 'the', 'linear', 'unperturbed', 'one', 'the', 'main', 'results', 'extend', 'recent', 'results', 'in', 'the', 'direction', 'saying', 'that', 'if', 'the', 'unitary', 'spectrum', 'of', 'the', 'monodromy', 'operator', 'does', 'not', 'intersect', 'the', 'circular', 'spectrum', 'of', 'f', 'then', 'the', 'evolution', 'equation', 'has', 'a', 'unique', 'mild', 'solution', 'with', 'its', 'circular', 'spectrum', 'contained', 'in', 'the', 'circular', 'spectrum', 'of', 'f']] | [-0.15448765809479584, 0.09765939450325176, -0.09163281594131452, -0.011611655822586423, -0.07266692435142533, -0.11785180098377168, -0.0337793344377941, 0.3335830023926165, -0.32458696444518864, -0.19943307657376863, 0.11241374235275241, -0.28776342587985304, -0.14076038826735587, 0.17232890146098928, -0.05417967638802818, 0.05709677561430403, 0.06358404283431203, 0.09468175346329291, -0.0982038653665869, -0.2011154057901068, 0.3691851205431804, -0.024531036253190704, 0.20074059957955293, 0.06414683219918516, 0.10450590613375728, 0.010664445472583692, 0.02146981108267533, 0.0043764836090202965, -0.1567774036075712, 0.07831690210150555, 0.17339393159717373, 0.12358419953509131, 0.2878960754929317, -0.37847390837689293, -0.19000103834938878, 0.14738645597632663, 0.11090787539271535, 0.0383832230420214, -0.03999931900842865, -0.22921136612745208, 0.1491728115118652, -0.10459902319255182, -0.21630932475414333, -0.044289760783916186, 0.0663044761733747, 0.0514544718882664, -0.2919422465751672, 0.08231883447054618, 0.13619261102414587, -0.0012009398714225325, -0.11596950449246732, -0.051677863422406115, -0.06779901844371732, 0.0817424695705995, 0.025233920033820648, 0.03430863673404221, 0.06256807104283427, -0.0851033122129997, -0.059641311443152115, 0.36209861752447775, -0.16535243840432182, -0.246394559314164, 0.14465364977109452, -0.227800282701436, -0.14661502129294807, 0.10753269581376419, 0.1438475213071797, 0.19736381112468532, -0.10455534940895934, 0.2215478591565948, -0.10973505340775268, 0.16208762028125218, 0.06136630826707309, 0.01126295705924147, 0.13442651044169907, 0.08297625727330644, 0.14068085171877304, 0.12650560853782938, -0.006478299370630541, -0.06713688478986216, -0.3587418269469506, -0.09952911144581675, -0.18923730588155901, 0.07593259623798884, -0.06554646652461492, -0.21959534758288, 0.41419678118513226, 0.09181919957983256, 0.22239857904949328, 0.0712277772060285, 0.2488779658160638, 0.199738419873433, 0.017389457482042618, 0.10125554070044826, 0.20475301582519023, 0.1548240348492982, 0.0656366009821391, -0.21485734789489974, 0.022402803965734266, 0.08572770625141857] |
711.2001 | Temporal decorrelation of collective oscillations in neural networks
with local inhibition and long-range excitation | We consider two neuronal networks coupled by long-range excitatory
interactions. Oscillations in the gamma frequency band are generated within
each network by local inhibition. When long-range excitation is weak, these
oscillations phase-lock with a phase-shift dependent on the strength of local
inhibition. Increasing the strength of long-range excitation induces a
transition to chaos via period-doubling or quasi-periodic scenarios. In the
chaotic regime oscillatory activity undergoes fast temporal decorrelation. The
generality of these dynamical properties is assessed in firing-rate models as
well as in large networks of conductance-based neurons.
| q-bio.NC cond-mat.dis-nn nlin.CD | we consider two neuronal networks coupled by longrange excitatory interactions oscillations in the gamma frequency band are generated within each network by local inhibition when longrange excitation is weak these oscillations phaselock with a phaseshift dependent on the strength of local inhibition increasing the strength of longrange excitation induces a transition to chaos via perioddoubling or quasiperiodic scenarios in the chaotic regime oscillatory activity undergoes fast temporal decorrelation the generality of these dynamical properties is assessed in firingrate models as well as in large networks of conductancebased neurons | [['we', 'consider', 'two', 'neuronal', 'networks', 'coupled', 'by', 'longrange', 'excitatory', 'interactions', 'oscillations', 'in', 'the', 'gamma', 'frequency', 'band', 'are', 'generated', 'within', 'each', 'network', 'by', 'local', 'inhibition', 'when', 'longrange', 'excitation', 'is', 'weak', 'these', 'oscillations', 'phaselock', 'with', 'a', 'phaseshift', 'dependent', 'on', 'the', 'strength', 'of', 'local', 'inhibition', 'increasing', 'the', 'strength', 'of', 'longrange', 'excitation', 'induces', 'a', 'transition', 'to', 'chaos', 'via', 'perioddoubling', 'or', 'quasiperiodic', 'scenarios', 'in', 'the', 'chaotic', 'regime', 'oscillatory', 'activity', 'undergoes', 'fast', 'temporal', 'decorrelation', 'the', 'generality', 'of', 'these', 'dynamical', 'properties', 'is', 'assessed', 'in', 'firingrate', 'models', 'as', 'well', 'as', 'in', 'large', 'networks', 'of', 'conductancebased', 'neurons']] | [-0.23550753490152684, 0.2437115912114016, 0.024732066674914677, 0.08702056386391632, -0.007232516675933518, -0.17692059052668893, 0.03058607095788995, 0.4056614211188968, -0.3042571432041851, -0.21496244040529497, 0.007694872942837802, -0.2538990626238625, -0.264261286750711, 0.15408911578494802, 0.03248249666648917, 0.01626794955121692, 0.044014412523458966, 0.02996587797745385, 0.010152640543475916, -0.12849589585675858, 0.2885706137061458, 0.033945385038598695, 0.26564469781376165, -0.003060803362380036, 0.06141807618339292, -0.020715070400662873, 0.05539974250661379, -0.02067371687603141, -0.061404776247813556, 0.014832861679182812, 0.22583990823663538, 0.006748453090866943, 0.30229175147939136, -0.49086619257418945, -0.29882610335268756, 0.12354816496107643, 0.16432832470639946, 0.11726019125093114, 0.009887504659921185, -0.3423594899941236, 0.0327770265040189, -0.14307589077030902, -0.0830798685439566, -0.09638626586159015, 0.05513965733222325, 0.15094732504803687, -0.3144689896143973, 0.18500221259256994, 0.09077022130441037, 0.13273783984848045, -0.027915578182067045, 0.04149279046263969, -0.07495925423361106, 0.12611514373929822, 0.038755123354018324, -0.005199735132257708, 0.1908186883295209, -0.1348804937866093, -0.13648511086251924, 0.2706310585225848, -0.12292433306654195, -0.14657660991228608, 0.23477301133838904, -0.140059845066968, -0.09647898842443035, 0.17083491931605915, 0.1805747400926934, 0.027629660860508342, -0.12079371285670443, 0.012927507992241193, 0.05684445554983209, 0.20913274862951683, 0.07169117939933627, 0.07711497037301095, 0.19704513203098692, 0.24184357024337674, 0.01624448182569309, 0.14856745868878948, -0.09933782035709142, -0.12323323728262701, -0.2270215738575313, 0.040094605149616575, -0.16981153759512713, 0.03762466037137942, -0.11984666296153922, -0.19930402683729137, 0.4769808064553548, 0.10697209076236257, 0.2383329041344537, 0.04548522774183022, 0.24724385094172743, 0.13174745339678007, 0.08008540837644515, 0.0056491463011215355, 0.2747610778526657, 0.1840629315120168, 0.1172570358083414, -0.29056350532284175, 0.08291354846865447, 0.03343938454583457] |
711.2002 | New estimation of the spectral index of high-energy cosmic rays as
determined by the Compton-Getting anisotropy | The amplitude of the Compton-Getting (CG) anisotropy contains the power-law
index of the cosmic-ray energy spectrum. Based on this relation and using the
Tibet air-shower array data, we measure the cosmic-ray spectral index to be
$-3.03 \pm 0.55_{stat} \pm < 0.62_{syst}$ between 6 TeV and 40 TeV, consistent
with $-$2.7 from direct energy spectrum measurements. Potentially, this CG
anisotropy analysis can be utilized to confirm the astrophysical origin of the
``knee'' against models for non-standard hadronic interactions in the
atmosphere.
| astro-ph | the amplitude of the comptongetting cg anisotropy contains the powerlaw index of the cosmicray energy spectrum based on this relation and using the tibet airshower array data we measure the cosmicray spectral index to be 303 pm 055_stat pm 062_syst between 6 tev and 40 tev consistent with 27 from direct energy spectrum measurements potentially this cg anisotropy analysis can be utilized to confirm the astrophysical origin of the knee against models for nonstandard hadronic interactions in the atmosphere | [['the', 'amplitude', 'of', 'the', 'comptongetting', 'cg', 'anisotropy', 'contains', 'the', 'powerlaw', 'index', 'of', 'the', 'cosmicray', 'energy', 'spectrum', 'based', 'on', 'this', 'relation', 'and', 'using', 'the', 'tibet', 'airshower', 'array', 'data', 'we', 'measure', 'the', 'cosmicray', 'spectral', 'index', 'to', 'be', '303', 'pm', '055_stat', 'pm', '062_syst', 'between', '6', 'tev', 'and', '40', 'tev', 'consistent', 'with', '27', 'from', 'direct', 'energy', 'spectrum', 'measurements', 'potentially', 'this', 'cg', 'anisotropy', 'analysis', 'can', 'be', 'utilized', 'to', 'confirm', 'the', 'astrophysical', 'origin', 'of', 'the', 'knee', 'against', 'models', 'for', 'nonstandard', 'hadronic', 'interactions', 'in', 'the', 'atmosphere']] | [-0.07506372564315021, 0.1701597736977561, -0.08903521050278751, 0.12153848409108431, -0.04668188369349129, -0.06936448610043032, -0.006622089012586451, 0.3632906188027232, -0.2360418402021388, -0.44094022312624886, 0.020962122838351537, -0.33821215715210934, 0.009117357783600108, 0.2104491838072608, 0.0479244389631725, -0.0031872422701993645, 0.0761957217443299, -0.03328110080956203, 4.733167588710785e-05, -0.11122121006347142, 0.22112150953526233, 0.20828591433486768, 0.23422721920643824, 0.09117467708692148, 0.03761579994680723, -0.04557870772316471, -0.06490009430457246, -0.030480713438387815, -0.13972889730939642, 0.09004228283324606, 0.20983872088429242, 0.08503885333450487, 0.07425850799137895, -0.3212246767112187, -0.21029275955704899, 0.1621224441892141, 0.1230298710636214, -0.021909514203208028, -0.02391393087931316, -0.2802950972751654, 0.12972783527107207, -0.22559069989660344, -0.14605573181957973, 0.05599719711712429, -0.04052254654370345, 0.010105331077591165, -0.24832201207225973, 0.15027800536194405, -0.03418175435879014, 0.1004650333122193, -0.08830848228573412, -0.1645340250272836, -0.016551175795785793, 0.03593814041005907, 0.09540698117298352, 0.0366738249635469, 0.13180864005434242, -0.051773370603060156, -0.10915960983808648, 0.3859357600668808, -0.11747696618368099, -0.08396235162803492, 0.16348276872720038, -0.17139924062391768, -0.17008115370552263, 0.20199849887134194, 0.1703418678930634, 0.011755627132468409, -0.16410807977345857, 0.10624094448784101, 0.04428181284433835, 0.26675141220549486, 0.014332284113730897, -0.0008421482203842757, 0.23654043643021738, 0.1471827450486553, 0.047579579297211266, 0.055416056668603574, -0.22062416288505804, 0.050838336832337565, -0.29196543623874716, -0.0962043889743796, -0.18318049682231693, 0.10668675431092693, -0.17094163171260607, -0.0936449763014332, 0.4382891355735528, 0.1477136797900614, 0.19501195510534883, -0.015997291324877892, 0.2759155683134767, 0.08033950285617165, 0.021324100772632505, 0.11993317638656922, 0.3245924317169112, 0.16434790883455183, 0.12394483642072066, -0.2304684405075991, 0.0014927871767189595, 0.02522266488038487] |
711.2003 | Plasma Electromagnetic Fluctuations as an Initial Value Problem | Fluctuations of electric and magnetic fields in the collisionless plasma are
found as a solution of the initial value linearized problem. The plasma initial
state is on average stationary and homogeneous. When the state is stable, the
initial fluctuations decay exponentially and in the long time limit a
stationary spectrum of fluctuations is established. For the equilibrium plasma
it reproduces the spectrum obtained from the fluctuation-dissipation relation.
Fluctuations in the unstable two-stream system are also discussed.
| physics.plasm-ph hep-ph nucl-th | fluctuations of electric and magnetic fields in the collisionless plasma are found as a solution of the initial value linearized problem the plasma initial state is on average stationary and homogeneous when the state is stable the initial fluctuations decay exponentially and in the long time limit a stationary spectrum of fluctuations is established for the equilibrium plasma it reproduces the spectrum obtained from the fluctuationdissipation relation fluctuations in the unstable twostream system are also discussed | [['fluctuations', 'of', 'electric', 'and', 'magnetic', 'fields', 'in', 'the', 'collisionless', 'plasma', 'are', 'found', 'as', 'a', 'solution', 'of', 'the', 'initial', 'value', 'linearized', 'problem', 'the', 'plasma', 'initial', 'state', 'is', 'on', 'average', 'stationary', 'and', 'homogeneous', 'when', 'the', 'state', 'is', 'stable', 'the', 'initial', 'fluctuations', 'decay', 'exponentially', 'and', 'in', 'the', 'long', 'time', 'limit', 'a', 'stationary', 'spectrum', 'of', 'fluctuations', 'is', 'established', 'for', 'the', 'equilibrium', 'plasma', 'it', 'reproduces', 'the', 'spectrum', 'obtained', 'from', 'the', 'fluctuationdissipation', 'relation', 'fluctuations', 'in', 'the', 'unstable', 'twostream', 'system', 'are', 'also', 'discussed']] | [-0.18563432308636899, 0.21911505222516625, -0.13143833583269857, 0.12606912038111323, 0.06608106840499922, -0.08154690806067695, -0.044100998361643995, 0.29804832630447653, -0.27176626715318936, -0.24182696032680964, 0.12486029392273754, -0.2760405756753722, -0.026837228650325222, 0.16381583522735654, 0.053613083259398606, 0.0936467733577286, 0.06439475653889148, 0.06183534642179055, -0.00789100496637586, -0.1591740823105762, 0.32654363530884056, 0.09588244879667304, 0.34111286579680283, 0.011025613474071418, 0.07706248190401024, -0.052781549187401605, 0.04056678582779377, 0.0556881588785664, -0.10416803263471688, -0.018630985496872057, 0.15966191012902478, 0.05156830064400932, 0.23747740931024677, -0.4114626292384377, -0.22284985788313574, 0.05144169545536371, 0.1672039871275621, 0.14822565837714233, -0.02063874136633546, -0.2594835947414762, 0.0515547316815508, -0.1269055060509249, -0.1894372198975792, -0.03758529823665556, 0.08185335136582389, 0.07650679188143265, -0.3213332200815019, 0.16814638106389843, 0.06270268528973438, -0.01223530958553678, -0.16530964671830206, -0.08588100908979725, -0.07321920270394337, 0.09401249540487218, 0.0969745162813189, 0.033688847723073866, 0.18095859157313643, -0.17183504271394523, -0.0058802415151149035, 0.3438855389402689, -0.11371724283334946, -0.1771091552647321, 0.15148902813119716, -0.19049794843273335, -0.05858583577393897, 0.17311135663552896, 0.11392078353827328, 0.11470249341188096, -0.11796861554677507, 0.10342799944842945, -0.027089810838285638, 0.14348721623077595, 0.061528318708664494, 0.027367338783254747, 0.23677680589944908, 0.1564789932362098, 0.06572774320987887, 0.16501536707418332, -0.0527166426518785, -0.15886684014510952, -0.3142186760822752, -0.08688127617719338, -0.18878637727251962, 0.0759548750755034, -0.06369274160399647, -0.20498440136802137, 0.3969109310449934, 0.1525370112105616, 0.14614524232762816, 0.013780729502047362, 0.28813502109168393, 0.19657673203772374, -0.0676280400397158, 0.1473534673293072, 0.30838124576563897, 0.19572424303777025, 0.18510955361968004, -0.2779069366209258, 0.0447749385769528, 0.046306088104182366] |
711.2004 | Stress-driven phase transformation and the roughening of solid-solid
interfaces | The application of stress to multiphase solid-liquid systems often results in
morphological instabilities. Here we propose a solid-solid phase transformation
model for roughening instability in the interface between two porous materials
with different porosities under normal compression stresses. This instability
is triggered by a finite jump in the free energy density across the interface,
and it leads to the formation of finger-like structures aligned with the
principal direction of compaction. The model is proposed as an explanation for
the roughening of stylolites - irregular interfaces associated with the
compaction of sedimentary rocks that fluctuate about a plane perpendicular to
the principal direction of compaction.
| cond-mat.mtrl-sci cond-mat.stat-mech | the application of stress to multiphase solidliquid systems often results in morphological instabilities here we propose a solidsolid phase transformation model for roughening instability in the interface between two porous materials with different porosities under normal compression stresses this instability is triggered by a finite jump in the free energy density across the interface and it leads to the formation of fingerlike structures aligned with the principal direction of compaction the model is proposed as an explanation for the roughening of stylolites irregular interfaces associated with the compaction of sedimentary rocks that fluctuate about a plane perpendicular to the principal direction of compaction | [['the', 'application', 'of', 'stress', 'to', 'multiphase', 'solidliquid', 'systems', 'often', 'results', 'in', 'morphological', 'instabilities', 'here', 'we', 'propose', 'a', 'solidsolid', 'phase', 'transformation', 'model', 'for', 'roughening', 'instability', 'in', 'the', 'interface', 'between', 'two', 'porous', 'materials', 'with', 'different', 'porosities', 'under', 'normal', 'compression', 'stresses', 'this', 'instability', 'is', 'triggered', 'by', 'a', 'finite', 'jump', 'in', 'the', 'free', 'energy', 'density', 'across', 'the', 'interface', 'and', 'it', 'leads', 'to', 'the', 'formation', 'of', 'fingerlike', 'structures', 'aligned', 'with', 'the', 'principal', 'direction', 'of', 'compaction', 'the', 'model', 'is', 'proposed', 'as', 'an', 'explanation', 'for', 'the', 'roughening', 'of', 'stylolites', 'irregular', 'interfaces', 'associated', 'with', 'the', 'compaction', 'of', 'sedimentary', 'rocks', 'that', 'fluctuate', 'about', 'a', 'plane', 'perpendicular', 'to', 'the', 'principal', 'direction', 'of', 'compaction']] | [-0.15321938592253379, 0.19149035458733865, -0.10687114572315251, -0.005425272802189354, -0.058803746870095, -0.06500030760608107, -0.0270340336403059, 0.3974589923197783, -0.32381888904871003, -0.2531652052082049, 0.07325833029163441, -0.22891351161976753, -0.1665275408841163, 0.14821622428005038, 0.004521705061016442, 0.02886349027885974, -0.009345576763876434, -0.0794614377268816, -0.06079393488499652, -0.16170040991844484, 0.28064958110126187, 0.05557185758212672, 0.339569069366016, 0.041358226768105084, 0.07472740853989714, -0.04929080860716408, 0.0486618307220198, 0.029772592798888105, -0.20678650918090322, 0.07644712632449652, 0.2551579683187228, -0.024020126433048433, 0.22354413962751193, -0.46443993504186276, -0.2593747915211812, 0.02950134805575447, 0.11181697763900444, 0.10813798272566309, -0.0755136785395805, -0.20860046400118945, 0.06321070596883163, -0.12849283755928712, -0.13053934485425503, 0.014580486839619076, 0.0190500357568047, 0.05110546264309183, -0.23936671949923038, 0.17385628728830516, 0.09394094342076519, 0.09510576328063763, -0.1503846751824383, -0.051127769690440986, -0.09608806626310626, 0.04549502622046806, 0.10541832746567151, 0.016918540511786647, 0.18831664494784703, -0.1282717091759251, -0.04680138530697927, 0.4135174414242428, 0.0027283555488961126, -0.1777811078716395, 0.27589792209379016, -0.12239668977919296, -0.08198672243466293, 0.21175381936386084, 0.19118823563155618, 0.04601823581943234, -0.13951701943698178, -0.02339536521314797, 0.007775450101601485, 0.13673085926860137, 0.10078605143262924, -0.10214685803749463, 0.21748207092909053, 0.22669866929753024, 0.04910216554637673, 0.19789152214692418, -0.10343239115137444, -0.082817400846341, -0.28716949871696024, -0.20324454208817874, -0.14422938497669235, -0.020272909227342716, -0.1449883666331145, -0.251804449034909, 0.3614236981996778, 0.1374330359343801, 0.20149683104195062, -0.012784740164507523, 0.24261125335379422, 0.03205331099260309, 0.09013770765272304, 0.06006104693503924, 0.19788624465610216, 0.14852470221242062, 0.1275858891974158, -0.23519751618026294, 0.16107408838003007, 0.05168303325817495] |
711.2005 | Leading Yukawa corrections to Higgs production associated with a tagged
bottom anti-bottom pair in the Standard Model at the LHC | Considering the large value of the top Yukawa coupling, we investigate the
leading one-loop Yukawa electroweak corrections that can be induced by the top
quark in a process such as Higgs production in association with a tagged bottom
anti-bottom pair at the LHC. At NLO these contributions are found to be small
at the LHC both for the total cross section and for the distributions. In the
limit of vanishing bottom Yukawa coupling where the LO contribution vanishes,
the process can still be induced at one-loop through the top quark transition.
Though this contribution which can be counted as part of the NNLO correction is
small for Higgs masses around 120GeV, it quickly picks up for higher Higgs
masses. This contribution represents the rescattering of the top quarks and
their decay into W's leading to Higgs production through WW fusion
| hep-ph | considering the large value of the top yukawa coupling we investigate the leading oneloop yukawa electroweak corrections that can be induced by the top quark in a process such as higgs production in association with a tagged bottom antibottom pair at the lhc at nlo these contributions are found to be small at the lhc both for the total cross section and for the distributions in the limit of vanishing bottom yukawa coupling where the lo contribution vanishes the process can still be induced at oneloop through the top quark transition though this contribution which can be counted as part of the nnlo correction is small for higgs masses around 120gev it quickly picks up for higher higgs masses this contribution represents the rescattering of the top quarks and their decay into ws leading to higgs production through ww fusion | [['considering', 'the', 'large', 'value', 'of', 'the', 'top', 'yukawa', 'coupling', 'we', 'investigate', 'the', 'leading', 'oneloop', 'yukawa', 'electroweak', 'corrections', 'that', 'can', 'be', 'induced', 'by', 'the', 'top', 'quark', 'in', 'a', 'process', 'such', 'as', 'higgs', 'production', 'in', 'association', 'with', 'a', 'tagged', 'bottom', 'antibottom', 'pair', 'at', 'the', 'lhc', 'at', 'nlo', 'these', 'contributions', 'are', 'found', 'to', 'be', 'small', 'at', 'the', 'lhc', 'both', 'for', 'the', 'total', 'cross', 'section', 'and', 'for', 'the', 'distributions', 'in', 'the', 'limit', 'of', 'vanishing', 'bottom', 'yukawa', 'coupling', 'where', 'the', 'lo', 'contribution', 'vanishes', 'the', 'process', 'can', 'still', 'be', 'induced', 'at', 'oneloop', 'through', 'the', 'top', 'quark', 'transition', 'though', 'this', 'contribution', 'which', 'can', 'be', 'counted', 'as', 'part', 'of', 'the', 'nnlo', 'correction', 'is', 'small', 'for', 'higgs', 'masses', 'around', '120gev', 'it', 'quickly', 'picks', 'up', 'for', 'higher', 'higgs', 'masses', 'this', 'contribution', 'represents', 'the', 'rescattering', 'of', 'the', 'top', 'quarks', 'and', 'their', 'decay', 'into', 'ws', 'leading', 'to', 'higgs', 'production', 'through', 'ww', 'fusion']] | [-0.04769905153001933, 0.2822284410108945, -0.05180541866991137, 0.1357529785319067, -0.03382123326716412, -0.1260290437045374, 0.04884182957134076, 0.29645316413204587, -0.24871446414451515, -0.26352871997015814, -0.0016789565004208791, -0.3407525369298777, 0.02170091783627868, 0.10422604187790836, 0.10188200147822499, 0.054207422590947574, 0.09109005908082639, 0.02712095422404153, -0.02317191672212045, -0.27865516444269034, 0.3277392375948174, 0.02632462435202407, 0.17899523281957955, 0.22114452499164536, 0.032000774354673925, 0.008790548129140267, -0.021939146092128273, -0.09279535958277328, -0.04504517485646439, 0.05361847363487219, 0.19024390606459096, -0.033280179621319156, 0.14222951694557975, -0.3179992901028267, -0.03841831568695073, 0.10992887681183805, 0.1614840182608792, 0.1290882362925913, -0.04295737531834415, -0.2832937542615192, 0.17691002104298345, -0.2578742817626335, -0.11111308116399284, -0.05825318023562431, -0.035399219134290304, -0.11901198672130704, -0.35418619960546494, 0.06577285716775805, -0.06569842844536262, -0.03206729170799787, 0.07307759029125528, -0.18563818570359478, -0.1423722564874749, 0.10206298583985439, 0.15570598377505251, 0.06587474004107727, 0.19112965422349848, -0.24478088455341224, -0.1471436237118074, 0.41411304652158704, -0.1487158701222922, -0.19558008525387516, 0.13743368337662623, -0.19968179288386767, -0.12451527492376044, 0.1829524555775736, 0.26780337784439323, 0.08831100305646292, -0.18992988678094533, 0.16429158409841227, 0.0533632685081102, 0.11745122514465557, 0.11468272678487534, 0.013764347724749574, 0.2623153678773503, 0.20791280123937342, 0.003243214444124273, 0.08290169660467654, -0.08167223002902964, -0.09731921297830663, -0.46737583958144696, -0.12712606963302409, -0.06654050816515726, 0.05321109196104642, -0.07818993501610488, -0.12966251693266842, 0.3795132520342512, 0.09764127226579668, 0.2927391402223813, 0.019738693695814748, 0.31728268324430764, 0.15209154558210036, 0.15116140772422243, 0.052633822789149624, 0.36887621640094687, 0.14144616241600097, 0.11433432621582013, -0.2210906069160306, 0.05102951174402343, 0.11207856258843094] |
711.2006 | Excited Baryons in Large Nc QCD: Matching the 1/Nc expansion to quark
models using the permutation group S_N | We show how to match quark models to the 1/Nc expansion of QCD. As an example
we discuss in detail the mass operator of orbitally excited baryons and match
it to the one-gluon exchange and the one-boson exchange variants of the quark
model. The matching procedure is very general and makes use of the
transformation properties of states and operators under S_N^{orb} \times
S_N^{sp-fl}, the permutation group acting on the orbital and spin-flavor
degrees of freedom of N quarks.
| hep-ph hep-th nucl-th | we show how to match quark models to the 1nc expansion of qcd as an example we discuss in detail the mass operator of orbitally excited baryons and match it to the onegluon exchange and the oneboson exchange variants of the quark model the matching procedure is very general and makes use of the transformation properties of states and operators under s_norb times s_nspfl the permutation group acting on the orbital and spinflavor degrees of freedom of n quarks | [['we', 'show', 'how', 'to', 'match', 'quark', 'models', 'to', 'the', '1nc', 'expansion', 'of', 'qcd', 'as', 'an', 'example', 'we', 'discuss', 'in', 'detail', 'the', 'mass', 'operator', 'of', 'orbitally', 'excited', 'baryons', 'and', 'match', 'it', 'to', 'the', 'onegluon', 'exchange', 'and', 'the', 'oneboson', 'exchange', 'variants', 'of', 'the', 'quark', 'model', 'the', 'matching', 'procedure', 'is', 'very', 'general', 'and', 'makes', 'use', 'of', 'the', 'transformation', 'properties', 'of', 'states', 'and', 'operators', 'under', 's_norb', 'times', 's_nspfl', 'the', 'permutation', 'group', 'acting', 'on', 'the', 'orbital', 'and', 'spinflavor', 'degrees', 'of', 'freedom', 'of', 'n', 'quarks']] | [-0.1155356483219506, 0.2061575520256392, -0.09221763296246335, 0.11471005206982085, -0.05508973546531777, -0.05811051888596992, 0.08740400080569088, 0.37021557652911585, -0.22572186678744754, -0.269575317378168, 0.035723043313890986, -0.30991114001092196, -0.06563633196842071, 0.06915211940922036, 0.04160894313222402, 0.025744755740289563, 0.034026050819205, 0.06317814235127979, -0.08893819055036194, -0.2417038223500569, 0.34120826695307893, 0.008734369783529214, 0.20685065843697106, 0.10350422832930412, 0.087711187345641, 0.050293050464484595, -0.006785923639288196, -0.10006826592899569, -0.0760900035452146, 0.08092450093728938, 0.15322487645952806, 0.06003147314677571, 0.13040278606455435, -0.4108483042543778, -0.12084523281808217, 0.07480393104593862, 0.1363057454552066, 0.15451529965578736, -0.008532793882496462, -0.2648002009524347, 0.050250899953791846, -0.2278762160764112, -0.17432106392724173, -0.1691909386691722, 0.008295548087977743, -0.018313382014438703, -0.3383681687054696, 0.07403072503457933, 0.006857548912914542, -0.008337057074652864, -0.03074990093175854, -0.16587421564648364, -0.08087731012469762, 0.09643787597366549, 0.11839758489407938, 0.039613783534906515, 0.10082416102145013, -0.16450034022065146, -0.12804449042426302, 0.4527575797219942, -0.06315482013508097, -0.18894681056005905, 0.14545243910767816, -0.1394037345859718, -0.11640135285311512, 0.016385609181234977, 0.18882370185010233, 0.13344354857388255, -0.15613971079711791, 0.1282710339110526, -0.0455733190423676, 0.16977372245451847, 0.07588945877097257, 0.08309509638808789, 0.17338854339360804, 0.1268377599167311, 0.010701560022236852, 0.12073452161117033, -0.01556893351923239, -0.1469136130959763, -0.33363052325129705, -0.10953651741147041, -0.13591074577061, 0.021320904759303122, -0.12000661608729021, -0.1484255887350285, 0.45180952311916783, 0.13659340623227953, 0.1950103332010376, 0.002048627682054391, 0.2726819135684085, 0.10672482880672997, 0.08882283354661875, 0.08636134189807555, 0.2142953413187877, 0.24622132510624148, 0.05660939169442886, -0.310998116190509, -0.022477643086587066, 0.12353917324988099] |
711.2007 | Odyssey: a Solar System Mission | The Solar System Odyssey mission uses modern-day high-precision experimental
techniques to test the laws of fundamental physics which determine dynamics in
the solar system. It could lead to major discoveries by using demonstrated
technologies. The mission proposes to perform a set of precision gravitation
experiments from the vicinity of Earth to the outer Solar System. Its
scientific objectives can be summarized as follows: i) test of the gravity
force law in the Solar System up to and beyond the orbit of Saturn; ii) precise
investigation of navigation anomalies at the fly-bys; iii) measurement of
Eddington's parameter at occultations; iv) mapping of gravity field in the
outer solar system and study of the Kuiper belt. To this aim, the Odyssey
mission is built up on a main spacecraft, designed to fly up to 13 AU, with the
following components: a) a high-precision accelerometer, with bias-rejection
system, measuring the deviation of the trajectory from the geodesics; b)
Ka-band transponders, as for Cassini, for a precise range and Doppler
measurement up to 13 AU, with additional VLBI equipment; c) optional laser
equipment, which would allow one to improve the range and Doppler measurement.
In this baseline concept, the main spacecraft is designed to operate beyond the
Saturn orbit, up to 13 AU. It experiences multiple planetary fly-bys at Earth,
Mars or Venus, and Jupiter. The cruise and fly-by phases allow the mission to
achieve its baseline scientific objectives (i) to iii) in the above list). In
addition to this baseline concept, the Odyssey mission proposes the release of
the Enigma radio-beacon at Saturn, allowing one to extend the deep space
gravity test up to at least 50 AU, while achieving the scientific objective of
a mapping of gravity field in the outer Solar System.
| gr-qc | the solar system odyssey mission uses modernday highprecision experimental techniques to test the laws of fundamental physics which determine dynamics in the solar system it could lead to major discoveries by using demonstrated technologies the mission proposes to perform a set of precision gravitation experiments from the vicinity of earth to the outer solar system its scientific objectives can be summarized as follows i test of the gravity force law in the solar system up to and beyond the orbit of saturn ii precise investigation of navigation anomalies at the flybys iii measurement of eddingtons parameter at occultations iv mapping of gravity field in the outer solar system and study of the kuiper belt to this aim the odyssey mission is built up on a main spacecraft designed to fly up to 13 au with the following components a a highprecision accelerometer with biasrejection system measuring the deviation of the trajectory from the geodesics b kaband transponders as for cassini for a precise range and doppler measurement up to 13 au with additional vlbi equipment c optional laser equipment which would allow one to improve the range and doppler measurement in this baseline concept the main spacecraft is designed to operate beyond the saturn orbit up to 13 au it experiences multiple planetary flybys at earth mars or venus and jupiter the cruise and flyby phases allow the mission to achieve its baseline scientific objectives i to iii in the above list in addition to this baseline concept the odyssey mission proposes the release of the enigma radiobeacon at saturn allowing one to extend the deep space gravity test up to at least 50 au while achieving the scientific objective of a mapping of gravity field in the outer solar system | [['the', 'solar', 'system', 'odyssey', 'mission', 'uses', 'modernday', 'highprecision', 'experimental', 'techniques', 'to', 'test', 'the', 'laws', 'of', 'fundamental', 'physics', 'which', 'determine', 'dynamics', 'in', 'the', 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