id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
711.0408 | Hinode observations reveal boundary layers of magnetic elements in the
solar photosphere | We study the structure of the magnetic elements in network-cell interiors. A
quiet Sun area close to the disc centre was observed with the
spectro-polarimeter of the Solar Optical Telescope on board the Hinode space
mission, which yielded the best spatial resolution ever achieved in
polarimetric data of the Fe I 630 nm line pair. For comparison and
interpretation, we synthesize a similar data set from a three-dimensional
magneto-hydrodynamic simulation. We find several examples of magnetic elements,
either roundish (tube) or elongated (sheet), which show a central area of
negative Stokes-V area asymmetry framed or surrounded by a peripheral area with
larger positive asymmetry. This pattern was predicted some eight years ago on
the basis of numerical simulations. Here, we observationally confirm its
existence for the first time. We gather convincing evidence that this pattern
of Stokes-V area asymmetry is caused by the funnel-shaped boundary of magnetic
elements that separates the flux concentration from the weak-field environment.
We also conclude that this kind of magnetic element of the internetwork is
accompanied by electric current sheets.
| astro-ph | we study the structure of the magnetic elements in networkcell interiors a quiet sun area close to the disc centre was observed with the spectropolarimeter of the solar optical telescope on board the hinode space mission which yielded the best spatial resolution ever achieved in polarimetric data of the fe i 630 nm line pair for comparison and interpretation we synthesize a similar data set from a threedimensional magnetohydrodynamic simulation we find several examples of magnetic elements either roundish tube or elongated sheet which show a central area of negative stokesv area asymmetry framed or surrounded by a peripheral area with larger positive asymmetry this pattern was predicted some eight years ago on the basis of numerical simulations here we observationally confirm its existence for the first time we gather convincing evidence that this pattern of stokesv area asymmetry is caused by the funnelshaped boundary of magnetic elements that separates the flux concentration from the weakfield environment we also conclude that this kind of magnetic element of the internetwork is accompanied by electric current sheets | [['we', 'study', 'the', 'structure', 'of', 'the', 'magnetic', 'elements', 'in', 'networkcell', 'interiors', 'a', 'quiet', 'sun', 'area', 'close', 'to', 'the', 'disc', 'centre', 'was', 'observed', 'with', 'the', 'spectropolarimeter', 'of', 'the', 'solar', 'optical', 'telescope', 'on', 'board', 'the', 'hinode', 'space', 'mission', 'which', 'yielded', 'the', 'best', 'spatial', 'resolution', 'ever', 'achieved', 'in', 'polarimetric', 'data', 'of', 'the', 'fe', 'i', '630', 'nm', 'line', 'pair', 'for', 'comparison', 'and', 'interpretation', 'we', 'synthesize', 'a', 'similar', 'data', 'set', 'from', 'a', 'threedimensional', 'magnetohydrodynamic', 'simulation', 'we', 'find', 'several', 'examples', 'of', 'magnetic', 'elements', 'either', 'roundish', 'tube', 'or', 'elongated', 'sheet', 'which', 'show', 'a', 'central', 'area', 'of', 'negative', 'stokesv', 'area', 'asymmetry', 'framed', 'or', 'surrounded', 'by', 'a', 'peripheral', 'area', 'with', 'larger', 'positive', 'asymmetry', 'this', 'pattern', 'was', 'predicted', 'some', 'eight', 'years', 'ago', 'on', 'the', 'basis', 'of', 'numerical', 'simulations', 'here', 'we', 'observationally', 'confirm', 'its', 'existence', 'for', 'the', 'first', 'time', 'we', 'gather', 'convincing', 'evidence', 'that', 'this', 'pattern', 'of', 'stokesv', 'area', 'asymmetry', 'is', 'caused', 'by', 'the', 'funnelshaped', 'boundary', 'of', 'magnetic', 'elements', 'that', 'separates', 'the', 'flux', 'concentration', 'from', 'the', 'weakfield', 'environment', 'we', 'also', 'conclude', 'that', 'this', 'kind', 'of', 'magnetic', 'element', 'of', 'the', 'internetwork', 'is', 'accompanied', 'by', 'electric', 'current', 'sheets']] | [-0.13694230634076843, 0.12036957926566488, -0.02609661075625443, 0.057311792520741964, -0.06194721656482153, -0.06245915517318009, 0.02670276180530588, 0.41819354481781007, -0.20999863299530472, -0.35324013651209485, 0.08294887457580852, -0.2881413051462465, -0.11364062438215847, 0.20210090063073427, -0.025711659514750008, -0.011073539370735144, 0.08582335909635856, -0.016018536115124094, -0.038792328067370103, -0.17748245784086872, 0.29279368819572543, 0.08115360037632414, 0.2508856545553018, 0.003628336827152933, 0.05444581095188128, -0.09989313207313835, -0.050215987376226436, 0.09747660495377622, -0.12151364077847877, 0.1030663249642192, 0.1762267086298965, 0.08432280065574758, 0.2011710419654097, -0.4502560376864055, -0.2001464508347422, 0.04915881010532465, 0.15268977273030784, 0.04816266790235779, -0.09469847249980459, -0.28804295153849513, 0.08033721500889923, -0.11877540497633832, -0.16730264147968385, 0.02465707076989093, 0.06641853537046533, -0.0073946771471514955, -0.25032482074002266, 0.0434707843127524, 0.02285452859593962, 0.14689171264997158, -0.10846849745099336, -0.08750627523130235, -0.05467803643791583, 0.08943270481708085, 0.048360076503448146, 0.05495914174096616, 0.1370421707862319, -0.09873355613438006, -0.07027225430262671, 0.3208223266818764, -0.049933992169303824, -0.06304907253220805, 0.13645517730539472, -0.2567444503475944, -0.1101704303512414, 0.17767990129095257, 0.13035664029537175, 0.11251076532463575, -0.09951529054850308, 0.05063142108643326, -0.103946394639641, 0.19219691749801324, 0.0789598661057394, -0.009940612573449597, 0.2870778032771215, 0.17326117575639624, 0.04715427193769264, 0.12077430442936354, -0.22217270520505036, -0.0572487041086558, -0.2790846513241701, -0.16535340155201866, -0.14569465874362436, 0.06510611137391292, -0.0719760126953954, -0.14815018773507113, 0.4011734463997057, 0.14390349561006002, 0.19591349873814903, -0.030100182406657815, 0.30559032485584847, 0.05900235555207306, 0.09264602336829164, 0.0746656334289917, 0.2956651848797411, 0.1492039435529739, 0.16557475205660724, -0.22277947076216298, 0.04164969829731887, 0.04996681909596055] |
711.0409 | Dynamic Moment Analysis of the Extracellular Electric Field of a
Biologically Realistic Spiking Neuron | Based upon the membrane currents generated by an action potential in a
biologically realistic model of a pyramidal, hippocampal cell within rat CA1,
we perform a moment expansion of the extracellular field potential. We
decompose the potential into both inverse and classical moments and show that
this method is a rapid and efficient way to calculate the extracellular field
both near and far from the cell body. The action potential gives rise to a
large quadrupole moment that contributes to the extracellular field up to
distances of almost 1 cm. This method will serve as a starting point in
connecting the microscopic generation of electric fields at the level of
neurons to macroscopic observables such as the local field potential.
| q-bio.NC q-bio.QM | based upon the membrane currents generated by an action potential in a biologically realistic model of a pyramidal hippocampal cell within rat ca1 we perform a moment expansion of the extracellular field potential we decompose the potential into both inverse and classical moments and show that this method is a rapid and efficient way to calculate the extracellular field both near and far from the cell body the action potential gives rise to a large quadrupole moment that contributes to the extracellular field up to distances of almost 1 cm this method will serve as a starting point in connecting the microscopic generation of electric fields at the level of neurons to macroscopic observables such as the local field potential | [['based', 'upon', 'the', 'membrane', 'currents', 'generated', 'by', 'an', 'action', 'potential', 'in', 'a', 'biologically', 'realistic', 'model', 'of', 'a', 'pyramidal', 'hippocampal', 'cell', 'within', 'rat', 'ca1', 'we', 'perform', 'a', 'moment', 'expansion', 'of', 'the', 'extracellular', 'field', 'potential', 'we', 'decompose', 'the', 'potential', 'into', 'both', 'inverse', 'and', 'classical', 'moments', 'and', 'show', 'that', 'this', 'method', 'is', 'a', 'rapid', 'and', 'efficient', 'way', 'to', 'calculate', 'the', 'extracellular', 'field', 'both', 'near', 'and', 'far', 'from', 'the', 'cell', 'body', 'the', 'action', 'potential', 'gives', 'rise', 'to', 'a', 'large', 'quadrupole', 'moment', 'that', 'contributes', 'to', 'the', 'extracellular', 'field', 'up', 'to', 'distances', 'of', 'almost', '1', 'cm', 'this', 'method', 'will', 'serve', 'as', 'a', 'starting', 'point', 'in', 'connecting', 'the', 'microscopic', 'generation', 'of', 'electric', 'fields', 'at', 'the', 'level', 'of', 'neurons', 'to', 'macroscopic', 'observables', 'such', 'as', 'the', 'local', 'field', 'potential']] | [-0.09496966037355985, 0.13248974847483624, -0.030519739883796623, 0.012375354016937005, -0.016089932496349015, -0.07592033122200519, 0.03944050775122984, 0.3559640168212354, -0.2701961753734698, -0.24788650458989045, 0.04230566138382225, -0.2483770702810337, -0.20799788647564127, 0.1595456061710138, -0.01577909795839029, -0.0320944606452637, -0.0033810978134473165, 0.0915885956492275, -0.003072883829008788, -0.15719669500055414, 0.25127181252464653, 0.06851299249877532, 0.27307321804109963, 0.06487946799801042, 0.14191383305005728, -0.02741861326309542, 0.03191850179573521, 0.043495140977514286, -0.07317354723988198, 0.16708188514846067, 0.19540035348230353, 0.0968913023447385, 0.2435869029102226, -0.5136193860438653, -0.2215740834615038, 0.09045548766540984, 0.11653017366576629, 0.16888104523532094, -0.07241829327346447, -0.27073055076180025, 0.08130755029075469, -0.13753112322495628, -0.16242280945104237, -0.10026024849309276, 0.03908130396157503, 0.04609563460883995, -0.32789509488114466, 0.08946366226300598, 0.04553977868151075, 0.05787031208941092, -0.12413016825448722, -0.09734354021881396, 0.008818183255304273, 0.17314582534988102, 0.04129689640928215, 0.10445602409041992, 0.21940654291490017, -0.1705891094757438, -0.06485939950992664, 0.3545015229222675, -0.08312242321359614, -0.16954035174373228, 0.16273277410655282, -0.15659577542295058, -0.053338845815354335, 0.1407315210904926, 0.19629065570188686, 0.07661025125804978, -0.18736907799417774, 0.0851200603278509, 0.02853810788753132, 0.1367395088011108, 0.05319090973158988, -0.04046738320806374, 0.2398476811281095, 0.16765865413472056, 0.08161943725620707, 0.12179387809252755, -0.12318540368384372, -0.09019935489632189, -0.31346923247911035, -0.14806999256058287, -0.16058073995324473, 0.09234664347022772, -0.08765754116417762, -0.18079993655749907, 0.44897071088974677, 0.16074804593566416, 0.22109974855557085, 0.02931953695175859, 0.26893316411878915, 0.0683507990615908, 0.13518272353879487, 0.002437960447665925, 0.22028262837557122, 0.1585843724528483, 0.10327446000398292, -0.24228833675733769, -0.018130000195621204, 0.05877177172806114] |
711.041 | Heat kernels and critical limits | This paper is an exposition of several questions linking heat kernel measures
on infinite dimensional Lie groups, limits associated with critical Sobolev
exponents, and Feynmann-Kac measures for sigma models.
| math.FA | this paper is an exposition of several questions linking heat kernel measures on infinite dimensional lie groups limits associated with critical sobolev exponents and feynmannkac measures for sigma models | [['this', 'paper', 'is', 'an', 'exposition', 'of', 'several', 'questions', 'linking', 'heat', 'kernel', 'measures', 'on', 'infinite', 'dimensional', 'lie', 'groups', 'limits', 'associated', 'with', 'critical', 'sobolev', 'exponents', 'and', 'feynmannkac', 'measures', 'for', 'sigma', 'models']] | [-0.12534735480259204, 0.1158731167434498, -0.04479528754821111, 0.1321229788892228, -0.09524376754616869, -0.15137227406275683, 0.051494137925930834, 0.339329571354781, -0.24582246440494882, -0.17422392007348866, 0.17265016752584228, -0.362826917384719, -0.1258761028213234, 0.2990908257920167, -0.09650538299746554, 0.06742048284424276, 0.01385261834566963, 0.10550034335204239, -0.11395995514788504, -0.24490233440080594, 0.4622541517340418, 0.029603289287730025, 0.24781354853947615, 0.08585328692249183, 0.12061660325732725, -0.1063703080350212, -0.0780325149153841, -0.006363869660758767, -0.26350821785885714, 0.1743285416400638, 0.2842454968783292, 0.00021545118491711287, 0.2644395761448762, -0.30617676090834467, -0.2565252983557253, 0.2045308711199925, 0.1348165513883377, -0.05453192455501392, 0.042789490809182415, -0.3187313123509802, 0.009695759428472355, -0.12116128321865509, -0.125476599076827, -0.07671014081429818, 0.05291679339354922, 0.03805629767734429, -0.20331189958057527, 0.11523687296771798, 0.11547810612607683, 0.16800310331043497, -0.13787840785265998, -0.1120782318396558, 0.06196897566832345, 0.09269257821142673, 0.05276239312510809, 0.021605745535986178, 0.11101187778444126, -0.12987161603889724, -0.208305344627849, 0.30360924645230686, -0.008477641751283202, -0.2750746460695719, 0.21142287950577407, -0.13813129340394817, -0.21193839073309612, 0.053016727597549045, 0.16343785547811923, 0.06809136881653605, -0.1398908430710435, 0.16866552697871973, -0.059869713438995956, 0.12286198974169533, 0.05261041204734095, 0.006559248114454335, 0.1303759050266496, 0.13773897352853212, 0.11713637565744334, 0.11238820542549265, 0.02722024285547628, -0.08207191925110488, -0.3521689533673484, -0.19599605849462337, -0.1124487236334846, 0.10378841981934063, -0.2003370623645204, -0.20081734821874778, 0.3546050789541212, 0.1331597581437532, 0.18592163897922326, 0.13901574794074584, 0.1672520415279372, 0.1875863904294012, 0.010514263561445063, 0.10812139401918855, 0.0220381339433892, 0.25103000211047716, 0.02746229472666465, -0.08475549751892686, -0.03419784740705428, 0.21045240624968348] |
711.0411 | Conservation laws with vanishing nonlinear diffusion and dispersion | We study the limiting behavior of the solutions to a class of conservation
laws with vanishing nonlinear diffusion and dispersion terms. We prove the
convergence to the entropy solution of the first order problem under a
condition on the relative size of the diffusion and the dispersion terms. This
work is motivated by the pseudo-viscosity approximation introduced by Von
Neumann in the 50's.
| math.AP math.NA | we study the limiting behavior of the solutions to a class of conservation laws with vanishing nonlinear diffusion and dispersion terms we prove the convergence to the entropy solution of the first order problem under a condition on the relative size of the diffusion and the dispersion terms this work is motivated by the pseudoviscosity approximation introduced by von neumann in the 50s | [['we', 'study', 'the', 'limiting', 'behavior', 'of', 'the', 'solutions', 'to', 'a', 'class', 'of', 'conservation', 'laws', 'with', 'vanishing', 'nonlinear', 'diffusion', 'and', 'dispersion', 'terms', 'we', 'prove', 'the', 'convergence', 'to', 'the', 'entropy', 'solution', 'of', 'the', 'first', 'order', 'problem', 'under', 'a', 'condition', 'on', 'the', 'relative', 'size', 'of', 'the', 'diffusion', 'and', 'the', 'dispersion', 'terms', 'this', 'work', 'is', 'motivated', 'by', 'the', 'pseudoviscosity', 'approximation', 'introduced', 'by', 'von', 'neumann', 'in', 'the', '50s']] | [-0.11746025339715065, 0.06767926261656815, -0.07047016348039346, 0.01521601078159634, -0.03534359643087974, -0.05173191451837146, 0.015310839594652256, 0.2394539912209092, -0.2978855146996913, -0.25022673781310756, 0.12601962846903397, -0.28527140703111414, -0.13951208170444246, 0.1482529482612061, -0.08933293402549766, 0.1199156115393317, 0.02559057448709768, 0.03659796411733306, -0.08178548746934486, -0.2397465061041571, 0.3788054260343964, 0.037025454040202826, 0.2987829151725958, 0.08025082760575479, 0.12718232509694874, -0.02433620527431014, 0.0017243792258557818, 0.08364714579361063, -0.21702578836416322, 0.13939673516951087, 0.15599976009911015, 0.03841060821691321, 0.313104407107901, -0.36759315380856156, -0.1974044261529805, 0.10802269345592885, 0.108977098071519, 0.08831240227889448, -0.013526162825569156, -0.27260489230753765, 0.084838734146846, -0.1717222354833096, -0.16830572605665242, -0.04508290326570175, 0.0069049278362875895, 0.04992917681940728, -0.25953497273463105, 0.14334620860597444, 0.11772973985942026, 0.03825888280121107, -0.11171010436697139, -0.030604177139817723, 0.01504631066650507, 0.08349386221241384, 0.10046546088369002, -0.06570426988533683, 0.041807782777126816, -0.13574791764323083, -0.06539367596130996, 0.3960132438039023, -0.0989828422639726, -0.26046749494142, 0.15089217588926354, -0.15840834396935644, -0.06698285024021826, 0.06624557840682212, 0.13391056875624355, 0.13607254733760205, -0.14882396542955012, 0.11282968285885299, -0.02145654966108619, 0.1054032154396058, 0.08600928439270883, 0.008192514453733724, 0.08404462913139946, 0.12546571600620474, 0.11644174322663318, 0.16257949331627478, -0.046526649013339055, -0.11321429311046524, -0.3463460242168771, -0.20355941137919822, -0.1832719235607083, 0.08482098533579754, -0.10014364745658232, -0.16736913797637773, 0.40288000892374726, 0.11183678618972263, 0.1822916024349748, 0.11420482685345978, 0.24282323344728896, 0.2332309905942234, 0.01588901657138079, 0.10105994811636351, 0.2222460767047273, 0.19799809714054895, 0.13837199234625414, -0.3048853506481955, 0.09401146263357192, 0.1666168225485654] |
711.0412 | 3D Spectroscopy in the Virtual Observatory: Current Status | Three cornerstones for the 3D data support in the Virtual Observatory are:
(1) data model to describe them, (2) data access services providing access to
fully-reduced datasets, and (3) client applications which can deal with 3D
data. Presently all these components became available in the VO. We demonstrate
an application of the IVOA Characterisation data model to description of IFU
and Fabry-Perot datasets. Two services providing SSA-like access to 3D-spectral
data and Characterisation metadata have been implemented by us: ASPID-SR at SAO
RAS for accessing IFU and Fabry-Perot data from the Russian 6-m telescope, and
the Giraffe Archive at the VO Paris portal for the VLT FLAMES-Giraffe datasets.
We have implemented VO Paris Euro3D Client, handling Euro3D FITS format, that
interacts with CDS Aladin and ESA VOSpec using PLASTIC to display spatial and
spectral cutouts of 3D datasets. Though the prototype we are presenting is yet
rather simple, it demonstrates how 3D spectroscopic data can be fully
integrated into the VO infrastructure.
| astro-ph | three cornerstones for the 3d data support in the virtual observatory are 1 data model to describe them 2 data access services providing access to fullyreduced datasets and 3 client applications which can deal with 3d data presently all these components became available in the vo we demonstrate an application of the ivoa characterisation data model to description of ifu and fabryperot datasets two services providing ssalike access to 3dspectral data and characterisation metadata have been implemented by us aspidsr at sao ras for accessing ifu and fabryperot data from the russian 6m telescope and the giraffe archive at the vo paris portal for the vlt flamesgiraffe datasets we have implemented vo paris euro3d client handling euro3d fits format that interacts with cds aladin and esa vospec using plastic to display spatial and spectral cutouts of 3d datasets though the prototype we are presenting is yet rather simple it demonstrates how 3d spectroscopic data can be fully integrated into the vo infrastructure | [['three', 'cornerstones', 'for', 'the', '3d', 'data', 'support', 'in', 'the', 'virtual', 'observatory', 'are', '1', 'data', 'model', 'to', 'describe', 'them', '2', 'data', 'access', 'services', 'providing', 'access', 'to', 'fullyreduced', 'datasets', 'and', '3', 'client', 'applications', 'which', 'can', 'deal', 'with', '3d', 'data', 'presently', 'all', 'these', 'components', 'became', 'available', 'in', 'the', 'vo', 'we', 'demonstrate', 'an', 'application', 'of', 'the', 'ivoa', 'characterisation', 'data', 'model', 'to', 'description', 'of', 'ifu', 'and', 'fabryperot', 'datasets', 'two', 'services', 'providing', 'ssalike', 'access', 'to', '3dspectral', 'data', 'and', 'characterisation', 'metadata', 'have', 'been', 'implemented', 'by', 'us', 'aspidsr', 'at', 'sao', 'ras', 'for', 'accessing', 'ifu', 'and', 'fabryperot', 'data', 'from', 'the', 'russian', '6m', 'telescope', 'and', 'the', 'giraffe', 'archive', 'at', 'the', 'vo', 'paris', 'portal', 'for', 'the', 'vlt', 'flamesgiraffe', 'datasets', 'we', 'have', 'implemented', 'vo', 'paris', 'euro3d', 'client', 'handling', 'euro3d', 'fits', 'format', 'that', 'interacts', 'with', 'cds', 'aladin', 'and', 'esa', 'vospec', 'using', 'plastic', 'to', 'display', 'spatial', 'and', 'spectral', 'cutouts', 'of', '3d', 'datasets', 'though', 'the', 'prototype', 'we', 'are', 'presenting', 'is', 'yet', 'rather', 'simple', 'it', 'demonstrates', 'how', '3d', 'spectroscopic', 'data', 'can', 'be', 'fully', 'integrated', 'into', 'the', 'vo', 'infrastructure']] | [-0.07289736401871778, -0.009828678343092178, -0.07524542850442231, 0.042909425609832394, -0.14431396790023426, -0.20033132035750895, 0.0074701276142150165, 0.45373006178997455, -0.20818490221026878, -0.3776561196835246, 0.13179189596121432, -0.3455556409433484, -0.037161664600716904, 0.2450626362580806, -0.051407642936919726, 0.005776962211166392, 0.14529727067565545, -0.0842389576457208, 0.053476483348276815, -0.2627580086380476, 0.27647887479979544, 0.09999763793312014, 0.3196134138270281, 0.009283112818957306, 0.0668045292783063, -0.024551368019456277, -0.10684052247088402, -0.046913743228651585, -0.07723919807635866, 0.13165032080723904, 0.3436104153151973, 0.19933875423666905, 0.20314396524590847, -0.4377842458314262, -0.129896232963074, -0.020235296474129427, 0.13043474454898388, 0.04766892663865292, -0.04700917352893157, -0.3699556239618687, 0.04129103558370843, -0.18866689167625736, -0.13763843066699338, -0.11441753216204234, -0.02082314568106085, -0.001988871558569372, -0.2722110939197592, -0.07537764269509353, -0.12468842217931524, 0.1615177316707559, -0.11145937651890563, -0.0943112012842903, -0.046201586974348174, 0.20991376333113293, -0.07976892142032739, 0.014028825342393247, 0.07473425765347201, -0.09995343455811963, -0.07256413154100301, 0.39641927781049163, -0.04905234409961849, -0.06847179423639319, 0.19841887291859167, -0.12120691009913571, -0.18677305821038317, 0.10061482464516303, 0.18551174627791625, 0.007467583863035543, -0.22044545425451362, 0.11860454547022528, -0.022832341227331198, 0.21270430238946575, 0.05591723968827864, 0.03773868761782069, 0.1762908640303067, 0.1949841575406026, -0.030690500910395713, 0.07524504108514521, -0.18874005292764195, -0.05123285217268858, -0.19766628469878925, -0.16870677381230054, -0.16202336854403257, -0.046790666313609106, -0.06799905203451999, -0.11809708277578465, 0.3434021401160862, 0.16536714430258143, 0.116045339415723, 0.01601897990403813, 0.375399519293569, -0.029922820255160333, 0.17051690897205846, 0.08899921700067352, 0.17784351336886176, -0.009383106751192827, 0.22181005000602455, -0.10381677147233859, 0.017773537064203992, -0.00030794041322224075] |
711.0413 | Non-inertial effects in fusion reactions of astrophysical interest | We discuss the effects of non-inertial motion in reactions occurring in
laboratory, stars, and elsewhere. It is demonstrated that non-inertial effects
due to large accelerations during nuclear collisions might have appreciable
effects nuclear and atomic transitions. We also explore the magnitude of the
corrections induced by strong gravitational fields on nuclear reactions in
massive, compact stars, and the neighborhood of black holes.
| nucl-th | we discuss the effects of noninertial motion in reactions occurring in laboratory stars and elsewhere it is demonstrated that noninertial effects due to large accelerations during nuclear collisions might have appreciable effects nuclear and atomic transitions we also explore the magnitude of the corrections induced by strong gravitational fields on nuclear reactions in massive compact stars and the neighborhood of black holes | [['we', 'discuss', 'the', 'effects', 'of', 'noninertial', 'motion', 'in', 'reactions', 'occurring', 'in', 'laboratory', 'stars', 'and', 'elsewhere', 'it', 'is', 'demonstrated', 'that', 'noninertial', 'effects', 'due', 'to', 'large', 'accelerations', 'during', 'nuclear', 'collisions', 'might', 'have', 'appreciable', 'effects', 'nuclear', 'and', 'atomic', 'transitions', 'we', 'also', 'explore', 'the', 'magnitude', 'of', 'the', 'corrections', 'induced', 'by', 'strong', 'gravitational', 'fields', 'on', 'nuclear', 'reactions', 'in', 'massive', 'compact', 'stars', 'and', 'the', 'neighborhood', 'of', 'black', 'holes']] | [-0.1081325649133613, 0.2460143003432501, -0.06631803674803625, 0.1510525447139967, -0.02595875213944143, 0.003948717317994564, 0.018100546334960287, 0.3529301779344678, -0.1868432295328427, -0.3048903896443306, -0.004543158651945452, -0.2929333402219439, -0.06819012541053517, 0.1641813444814855, -0.0351747092941115, -0.030506834447864565, 0.08011192375335903, 0.010078626264247202, -0.06469753632066591, -0.18193033991396548, 0.36026190906282396, 0.11702638678252697, 0.16089883131245453, 0.07770306215952, 0.070165034988144, -0.04496570515085853, -0.036231630241438266, 0.04460813234289808, -0.11771259033705592, -0.009514523147616626, 0.23564992640768329, 0.05373219447961498, 0.22585102591303088, -0.49375198105530393, -0.229439424996775, 0.13788394023093484, 0.1063123325997543, 0.21317397592018447, -0.14614291548646324, -0.32575715258116683, 0.0049340449153415615, -0.19466099716843135, -0.13015276865823375, -0.07750650654798524, 0.1453671637216523, 0.05271967087361601, -0.21579624759033322, 0.11466577730184767, 0.07472256944522322, 0.037174969400850036, -0.09533960508903669, -0.10077946871939686, -2.691672453957219e-07, 0.08309685407326586, 0.08045332140905122, 0.025506794779381205, 0.25699213701450535, -0.13242470308004187, -0.09748337881249045, 0.48376849822459683, -0.05247024446725845, -0.10661836175788794, 0.22110364222598652, -0.28186072850029076, -0.1393411791613025, 0.12372224689311077, 0.2560623836733641, 0.16489768252828188, -0.1657702526483204, 0.06403277974834876, 0.09560709346776768, 0.10818375580974164, 0.10415091615680966, 0.1099795890134579, 0.2542160712783375, 0.11251216468911979, -0.030234339605686406, 0.09660205178924146, -0.1422767053741301, -0.10228001740160247, -0.28585562458442104, -0.09500033822241088, -0.08268212186052434, 0.044127208128150915, -0.07822421424380961, -0.059154654417427316, 0.30957136168745497, 0.1248852799631535, 0.13173511884205283, -0.13968223462542217, 0.26656204271591466, 0.056784505938975924, 0.1254829971059676, 0.08188054987770174, 0.3911018783767377, 0.19177289047623955, 0.08044056106178511, -0.33491440833125624, 0.040241463958556135, 0.004154344720225181] |
711.0414 | Polarization Measurements and the Pairing Gap in the Universal Regime | We analyze recent cold-atom experiments on imbalanced Fermi systems using a
minimal model with a BCS-like superfluid phase coexisting with a normal phase.
This model is used to extract the T=0 pairing gap in the fully paired
superfluid state. The recently measured particle density profiles are in good
agreement with the theoretical predictions obtained from the universal
parameters from previous Quantum Monte Carlo calculations. We find that the T=0
pairing gap is greater than 0.4 times the Fermi energy $E_F$, with a preferred
value of $0.45 \pm 0.05$ $E_F$. The ratio of the pairing gap $\Delta$ to the
Fermi Energy $E_F$ is larger here than in any other system of strongly-paired
fermions in which individual pairs are unbound.
| cond-mat.str-el | we analyze recent coldatom experiments on imbalanced fermi systems using a minimal model with a bcslike superfluid phase coexisting with a normal phase this model is used to extract the t0 pairing gap in the fully paired superfluid state the recently measured particle density profiles are in good agreement with the theoretical predictions obtained from the universal parameters from previous quantum monte carlo calculations we find that the t0 pairing gap is greater than 04 times the fermi energy e_f with a preferred value of 045 pm 005 e_f the ratio of the pairing gap delta to the fermi energy e_f is larger here than in any other system of stronglypaired fermions in which individual pairs are unbound | [['we', 'analyze', 'recent', 'coldatom', 'experiments', 'on', 'imbalanced', 'fermi', 'systems', 'using', 'a', 'minimal', 'model', 'with', 'a', 'bcslike', 'superfluid', 'phase', 'coexisting', 'with', 'a', 'normal', 'phase', 'this', 'model', 'is', 'used', 'to', 'extract', 'the', 't0', 'pairing', 'gap', 'in', 'the', 'fully', 'paired', 'superfluid', 'state', 'the', 'recently', 'measured', 'particle', 'density', 'profiles', 'are', 'in', 'good', 'agreement', 'with', 'the', 'theoretical', 'predictions', 'obtained', 'from', 'the', 'universal', 'parameters', 'from', 'previous', 'quantum', 'monte', 'carlo', 'calculations', 'we', 'find', 'that', 'the', 't0', 'pairing', 'gap', 'is', 'greater', 'than', '04', 'times', 'the', 'fermi', 'energy', 'e_f', 'with', 'a', 'preferred', 'value', 'of', '045', 'pm', '005', 'e_f', 'the', 'ratio', 'of', 'the', 'pairing', 'gap', 'delta', 'to', 'the', 'fermi', 'energy', 'e_f', 'is', 'larger', 'here', 'than', 'in', 'any', 'other', 'system', 'of', 'stronglypaired', 'fermions', 'in', 'which', 'individual', 'pairs', 'are', 'unbound']] | [-0.1648034308042027, 0.22297912827617306, -0.09941489949153784, 0.09246331209945692, 0.009156053519656515, -0.17707740182741585, 0.11139865582769053, 0.35086534519751483, -0.21762423776886147, -0.3189694890513634, -0.05918869073303719, -0.37599834398581433, -0.029983636779853932, 0.17814348150804862, 0.03925160063494347, 0.05684907906330549, 0.0499017401638194, 0.017072615991784338, -0.1930645422066729, -0.19204539491727343, 0.32884811447598994, 0.042987348777480804, 0.31800591288548374, 0.04040223446825885, -0.007128350127739116, -0.04406441497998551, 0.09681361972187193, -0.0005218404162133861, -0.20677074593220465, 0.07332896702309959, 0.26213682416237444, -0.0850988186052085, 0.2021703806299812, -0.3811252829260551, -0.21876452768492138, 0.09576520707824418, 0.13872668721402684, 0.11699257592340279, -0.02413053706021677, -0.2971565088448234, 0.03841985661624015, -0.23278360896839353, -0.1277865611343111, -0.059832388105300754, -0.008922959427134348, -0.006792703750901497, -0.20424668453673586, 0.16544490217820257, -0.03332091465146623, 0.05920053353978661, -0.10168896117605843, -0.19041645555840567, -0.050053966342897896, 0.027420217835973214, 0.03116530479572745, 0.12928373089187548, 0.0934673049454836, -0.13150786578806484, -0.05303015775727825, 0.36656211324147564, -0.08358175165749267, -0.12483133572055118, 0.17290058466964042, -0.18341742909282574, -0.05163353848724793, 0.1777971956369459, 0.06047554125284983, 0.047617468872489646, -0.09583106737297314, 0.06256242943370444, -0.055342875262841776, 0.22472011766786504, -0.03711007675752999, 0.018852365417562675, 0.23569351909920955, 0.20666081086497626, 0.040634714596323736, 0.06097706805259929, -0.14872779817276627, -0.12497584121978372, -0.2670624942924732, -0.11744590811272207, -0.23591110498632473, 0.021689055973074883, -0.04113517130892246, -0.12131106972089435, 0.37647609457246256, 0.15539628293556282, 0.2641901057094144, 0.021834441419873927, 0.2588342650769613, 0.15655066011051655, 0.0539932410306353, 0.08971202833991912, 0.2630590172121341, 0.09388278231510304, 0.0670349920142649, -0.25621477871313375, 0.029827441627151754, 0.015438465797541361] |
711.0415 | Twists of genus three Jacobians | We give a criterion to distinguish between a genus three Jacobian and its
[-1] twist in terms of the product of the 36 even theta nulls.
We also express the product of the 36 theta nulls in terms of the
discriminant of a genus three curve.
The results are arithmetic in nature and thus add to previous work over C on
the product of the even theta nulls. They generalize previous work of
Ritzenthaler and Lachaud for Abelian threefolds which are (2,2,2) isogenous to
a product of elliptic curves.
This answers a 2003 of letter of Jean-Pierre Serre to Jaap Top.
| math.AG math.NT | we give a criterion to distinguish between a genus three jacobian and its 1 twist in terms of the product of the 36 even theta nulls we also express the product of the 36 theta nulls in terms of the discriminant of a genus three curve the results are arithmetic in nature and thus add to previous work over c on the product of the even theta nulls they generalize previous work of ritzenthaler and lachaud for abelian threefolds which are 222 isogenous to a product of elliptic curves this answers a 2003 of letter of jeanpierre serre to jaap top | [['we', 'give', 'a', 'criterion', 'to', 'distinguish', 'between', 'a', 'genus', 'three', 'jacobian', 'and', 'its', '1', 'twist', 'in', 'terms', 'of', 'the', 'product', 'of', 'the', '36', 'even', 'theta', 'nulls', 'we', 'also', 'express', 'the', 'product', 'of', 'the', '36', 'theta', 'nulls', 'in', 'terms', 'of', 'the', 'discriminant', 'of', 'a', 'genus', 'three', 'curve', 'the', 'results', 'are', 'arithmetic', 'in', 'nature', 'and', 'thus', 'add', 'to', 'previous', 'work', 'over', 'c', 'on', 'the', 'product', 'of', 'the', 'even', 'theta', 'nulls', 'they', 'generalize', 'previous', 'work', 'of', 'ritzenthaler', 'and', 'lachaud', 'for', 'abelian', 'threefolds', 'which', 'are', '222', 'isogenous', 'to', 'a', 'product', 'of', 'elliptic', 'curves', 'this', 'answers', 'a', '2003', 'of', 'letter', 'of', 'jeanpierre', 'serre', 'to', 'jaap', 'top']] | [-0.18643683535046876, 0.06810358453309164, -0.09484769001603127, 0.059599837398855014, -0.06036841281689703, -0.1274929392710328, 0.06278788144118153, 0.3089067928865552, -0.24998973802663385, -0.3025612086802721, 0.08965291043859906, -0.2574398788483813, -0.14580661011859775, 0.22640900912694634, -0.12000583575267228, -0.008083602996193803, 0.03388519490137696, 0.05740864703431726, -0.11589146057958714, -0.3564330890402198, 0.367336167357862, -0.04787641637027264, 0.18336817229399457, 0.07072692052461207, 0.054400747595282156, -0.013571939365938306, -0.04531019052490592, -0.041202289080247284, -0.1214214458502829, 0.17249018789909315, 0.26772899452596904, 0.07129110449459404, 0.17586466640233994, -0.35278613375499845, -0.12661790042184293, 0.1374597488125437, 0.09838397608487867, -0.0029385817621368914, 0.08427502341917716, -0.21224742349702866, 0.08342776120640337, -0.1976214703952428, -0.14142269561532886, -0.0556851148349233, 0.06470909471390769, 0.008565527833998204, -0.251241326443851, 0.02756737907155184, 0.1205650958046317, 0.13972539046779275, -0.032804801418678836, -0.12146086370572448, -0.0185315316170454, 0.0780737334722653, 0.06626335801440292, 0.09788565838709473, 0.04149962411727756, -0.1615329874062445, -0.12365736852516421, 0.33391765162348747, -0.04986694780644029, -0.1861473987530917, 0.13291029513231478, -0.16901388845406473, -0.11898414013325237, 0.12343431199900806, 0.1400815242808312, 0.16347987594082952, -0.021261764792725443, 0.08652091578871478, -0.10965563741978258, 0.1205749332997948, 0.1469264260205091, -0.04019498335197568, 0.1489562391396612, 0.019920865789754317, 0.01567003539763391, 0.14351973038050347, -0.07510440091369673, -0.032054801072226836, -0.35102032268419864, -0.21787183875683694, -0.09149805303663015, 0.1401329297455959, -0.07473385638513719, -0.16608444068580866, 0.48539515141397716, 0.0782486254023388, 0.22453744612634183, 0.1081506911444012, 0.2227716654818505, 0.04682253622857388, 0.03257647507009096, 0.055678250649943944, 0.1987764676527877, 0.19060535289347172, 0.01927756602759473, -0.11252302929759025, 0.020774246668443085, 0.11233262886293233] |
711.0416 | Minimal Direct Gauge Mediation | We propose a simple model of gauge mediation where supersymmetry is broken by
a strong dynamics at O(100)TeV.
| hep-ph hep-th | we propose a simple model of gauge mediation where supersymmetry is broken by a strong dynamics at o100tev | [['we', 'propose', 'a', 'simple', 'model', 'of', 'gauge', 'mediation', 'where', 'supersymmetry', 'is', 'broken', 'by', 'a', 'strong', 'dynamics', 'at', 'o100tev']] | [-0.16837473337848982, 0.25735398118073743, -0.06328147802398437, 0.1272969767774662, -0.12119206576608121, -0.2513653721349935, 0.012490488381849395, 0.37365655083623195, -0.2122651528980997, -0.26452432241704726, 0.05054478091187775, -0.17306574873833191, -0.18220513044959968, -0.0404036369226459, -0.02756147397061189, -0.02766227193771758, -0.07842808506555027, -0.0064416661237676935, -0.014523174096312787, -0.16835845545089492, 0.28622307995748186, 0.015131010880900754, 0.2578906108521753, 0.05992165859788656, 0.18815944058587775, -0.009800749416980479, 0.10841636628740364, -0.026584640766183536, -0.07804687538494666, 0.07756738535438974, 0.14879637806572849, 0.030145658800999325, 0.20302857735401225, -0.38758927842395174, -0.24832275240785545, 0.07501615397632122, 0.13016012807687125, 0.1651682448056009, -0.10915500091181861, -0.31179475059939754, 0.09862114551166694, -0.1937683584789435, -0.07187762919218382, -0.10531214712601569, -0.09572218461996979, -0.2373795136809349, -0.3616636191598243, 0.1324986263902651, -0.03097522175974316, 0.12374210805218253, 0.06556019745767117, 0.05140739746598734, -0.07805495370282894, -0.04808332507188121, 0.14797672829202688, -0.0010927430250578457, 0.08369512082491484, -0.2292194610668553, -0.1501132900464452, 0.48537565105491215, -0.11248418999214967, -0.19862539859281647, 0.21013427440387508, -0.059313909642191395, -0.2587872959362964, 0.10951874477581845, 0.16921256265292564, 0.16819402161571714, -0.16547788933126462, 0.25746228432075846, -0.09604586966128813, 0.16372208757739928, -0.0429304827315112, -0.07134089800011781, 0.2956875891735156, 0.2334392306705316, 0.0835186885152426, 0.15158280026581553, 0.018361168085700937, -0.08978389617469576, -0.4548627690722545, -0.0403143159346655, -0.10409529491638143, 0.09378176187682483, -0.06539012253698376, -0.05979257946213087, 0.4039129163397269, 0.10650344524118635, 0.24272786411974165, 0.1328209798472623, 0.24877843716078335, 0.12356235493724751, 0.10391157834480207, 0.004725126420251197, 0.20927579302547705, 0.04305572196608409, 0.047178012836310596, -0.23785049160425034, -0.09101846501127714, 0.14272089747505057] |
711.0417 | Spaces and groups with conformal dimension greater than one | We show that if a complete, doubling metric space is annularly linearly
connected then its conformal dimension is greater than one, quantitatively. As
a consequence, we answer a question of Bonk and Kleiner: if the boundary of a
one-ended hyperbolic group has no local cut points, then its conformal
dimension is greater than one.
| math.MG math.GR | we show that if a complete doubling metric space is annularly linearly connected then its conformal dimension is greater than one quantitatively as a consequence we answer a question of bonk and kleiner if the boundary of a oneended hyperbolic group has no local cut points then its conformal dimension is greater than one | [['we', 'show', 'that', 'if', 'a', 'complete', 'doubling', 'metric', 'space', 'is', 'annularly', 'linearly', 'connected', 'then', 'its', 'conformal', 'dimension', 'is', 'greater', 'than', 'one', 'quantitatively', 'as', 'a', 'consequence', 'we', 'answer', 'a', 'question', 'of', 'bonk', 'and', 'kleiner', 'if', 'the', 'boundary', 'of', 'a', 'oneended', 'hyperbolic', 'group', 'has', 'no', 'local', 'cut', 'points', 'then', 'its', 'conformal', 'dimension', 'is', 'greater', 'than', 'one']] | [-0.1328945392742753, 0.14938497418133578, -0.11079075900872923, 0.09151999648651635, -0.15318991311491942, -0.17387905209061671, 0.017180068260234483, 0.3610759471666138, -0.2482447955968245, -0.17076324408803628, 0.14224590316748703, -0.3361436011058823, -0.18006526357230712, 0.19470518384620827, -0.10413491599402337, -0.032995774869736774, 0.037078351801577605, 0.15425690449774265, -0.0682385106755526, -0.3239693396355746, 0.38771084199641953, -0.03062602872784548, 0.21444173730944968, 0.09586111575646221, 0.1516990194905479, -0.02877524842174267, 0.011781260722650672, 0.10408681767217305, -0.14326700885005333, 0.09105909054325718, 0.18015710436651167, 0.12395345645447103, 0.2858501356929751, -0.31079701119061903, -0.21281530382990274, 0.19704016319142198, 0.13888786107582865, 0.041235055985315794, 0.01986917950441393, -0.2039630607403112, 0.19061998320075701, -0.09603989867598943, -0.20101490007045697, -0.019684706656438, 0.09578505653079669, -0.15570923831876157, -0.21200139548207791, 0.008559302356586142, 0.1352356271642559, 0.09393655329520972, -0.030987912477081957, -0.019964130964341027, -0.10910644673935647, 0.10035061484360892, 0.00492831642964549, 0.13326898184692804, 0.07742766795223052, -0.050152054302534964, -0.12914812433937528, 0.38704652802245515, -0.05912778272901943, -0.26697622893272704, 0.19946298871259643, -0.19586592447891268, -0.11489771285428191, 0.10151329023306663, 0.0831226937578253, 0.1534176268526968, -0.050961295828082655, 0.17079534894624232, -0.1532517381776827, 0.18735239839286738, 0.1450932124664761, -0.03385800685742343, 0.09987149510602907, 0.16097592522021173, 0.2425885482357358, 0.1323679610471821, 0.04009817460253132, 0.01677709877631574, -0.3116846006574496, -0.2196492315885031, -0.2028340687623845, 0.16712699048572555, -0.16721049686514922, -0.1721833106481804, 0.38466979286475284, 0.04560801276732851, 0.19792728976539845, 0.08454634619982175, 0.2738712831699061, 0.08485080710642989, 0.06562284480358632, 0.16651973772337134, 0.16145946621402818, 0.1444972781991621, -0.045444672211196344, -0.12530234128342205, -0.020498746505253157, 0.1611181604148785] |
711.0418 | Unstable Disk Accretion to Magnetized Stars: First Global 3D MHD
Simulations | We report on the first global three-dimensional (3D) MHD simulations of disk
accretion onto a rotating magnetized star through the Rayleigh-Taylor
instability. The star has a dipole field misaligned relative to the rotation
axis by a small angle Theta. Simulations show that, depending on the accretion
rate, a star may be in the stable or unstable regime of accretion. In the
unstable regime, matter penetrates deep into the magnetosphere through several
elongated "tongues" which deposit matter at random places on the surface of the
star, leading to stochastic light-curves. In the stable regime, matter accretes
in ordered funnel streams and the light-curves are almost periodic. A star may
switch between these two regimes depending on the accretion rate and may thus
show alternate episodes of ordered pulsations and stochastic light-curves. In
the intermediate regime, both stochastic and ordered pulsations are observed.
For Theta > 30 degrees, the instability is suppressed and stable accretion
through funnel streams dominates.
| astro-ph | we report on the first global threedimensional 3d mhd simulations of disk accretion onto a rotating magnetized star through the rayleightaylor instability the star has a dipole field misaligned relative to the rotation axis by a small angle theta simulations show that depending on the accretion rate a star may be in the stable or unstable regime of accretion in the unstable regime matter penetrates deep into the magnetosphere through several elongated tongues which deposit matter at random places on the surface of the star leading to stochastic lightcurves in the stable regime matter accretes in ordered funnel streams and the lightcurves are almost periodic a star may switch between these two regimes depending on the accretion rate and may thus show alternate episodes of ordered pulsations and stochastic lightcurves in the intermediate regime both stochastic and ordered pulsations are observed for theta 30 degrees the instability is suppressed and stable accretion through funnel streams dominates | [['we', 'report', 'on', 'the', 'first', 'global', 'threedimensional', '3d', 'mhd', 'simulations', 'of', 'disk', 'accretion', 'onto', 'a', 'rotating', 'magnetized', 'star', 'through', 'the', 'rayleightaylor', 'instability', 'the', 'star', 'has', 'a', 'dipole', 'field', 'misaligned', 'relative', 'to', 'the', 'rotation', 'axis', 'by', 'a', 'small', 'angle', 'theta', 'simulations', 'show', 'that', 'depending', 'on', 'the', 'accretion', 'rate', 'a', 'star', 'may', 'be', 'in', 'the', 'stable', 'or', 'unstable', 'regime', 'of', 'accretion', 'in', 'the', 'unstable', 'regime', 'matter', 'penetrates', 'deep', 'into', 'the', 'magnetosphere', 'through', 'several', 'elongated', 'tongues', 'which', 'deposit', 'matter', 'at', 'random', 'places', 'on', 'the', 'surface', 'of', 'the', 'star', 'leading', 'to', 'stochastic', 'lightcurves', 'in', 'the', 'stable', 'regime', 'matter', 'accretes', 'in', 'ordered', 'funnel', 'streams', 'and', 'the', 'lightcurves', 'are', 'almost', 'periodic', 'a', 'star', 'may', 'switch', 'between', 'these', 'two', 'regimes', 'depending', 'on', 'the', 'accretion', 'rate', 'and', 'may', 'thus', 'show', 'alternate', 'episodes', 'of', 'ordered', 'pulsations', 'and', 'stochastic', 'lightcurves', 'in', 'the', 'intermediate', 'regime', 'both', 'stochastic', 'and', 'ordered', 'pulsations', 'are', 'observed', 'for', 'theta', '30', 'degrees', 'the', 'instability', 'is', 'suppressed', 'and', 'stable', 'accretion', 'through', 'funnel', 'streams', 'dominates']] | [-0.19394616234020737, 0.224828663138816, -0.07496404380071908, 0.0923137213946738, -0.10451458067519781, -0.06930173327400087, 0.03387373400320753, 0.3707092923518175, -0.2704893510866289, -0.27250597104527213, 0.11329043683975051, -0.2503698027262894, -0.04727329549122936, 0.2233458373035925, -0.008531722078959528, -0.03256827610759781, 0.06780027604709642, -0.042050536178673305, -0.06943493760161054, -0.20976976603747177, 0.31089445180259645, 0.026474786789316196, 0.17252209157539675, -0.0549211534880436, 0.06196081931240116, -0.09256056931395179, 0.014087246351827605, -0.027795453161860887, -0.17661653465811702, -0.017109282392387588, 0.1915393767114251, 0.04968861441533917, 0.1977129988760377, -0.46074182509432715, -0.22072139046250436, 0.013519671205311822, 0.2206694344366462, 0.04866398751768523, -0.08335429754067893, -0.23387439025697324, 0.0543908413965255, -0.19661732988270858, -0.11239862026801954, 0.0007411609105288219, 0.05310307347994799, 0.042611908355656154, -0.30628332363155025, 0.11318409411260524, 0.1214022831176501, 0.010701078163364377, -0.09705634611264731, 0.004320306531810321, -0.12685728437888125, 0.026257375049261518, 0.11346760857701063, 0.06751176856088047, 0.21322281705215573, -0.16445672620708743, -0.038987652990050636, 0.36063212694194263, -0.08977235238760328, -0.08385182202507097, 0.2410502869200009, -0.24289042175783274, -0.08928205738835132, 0.23336353126423767, 0.21133459524776882, 0.15829223967328943, -0.04100177658256143, 0.008528640270994332, -0.039009505041086905, 0.16021747330281264, 0.10005415606204994, -0.026045597901639458, 0.41612023909767276, 0.16446332543348083, 0.04099790845140934, 0.1541880892629986, -0.19654947100841524, -0.13603861150869095, -0.2213571309477676, -0.052558708195693984, -0.09674390619740081, 0.04899814012997712, -0.11934119277252765, -0.15669563618034887, 0.34634082813938266, 0.06187196943583564, 0.20706196807515928, -0.02603773049225147, 0.30788383297084904, 0.08491574427581583, 0.007271459409728264, 0.16523056087167695, 0.33176016489205024, 0.1700620000035717, 0.09871366278280337, -0.262742877105036, 0.08524188146484682, 0.03421994893011661] |
711.0419 | The Kagome Antiferromagnet: A Schwinger-Boson Mean-Field Theory Study | The Heisenberg antiferromagnet on the Kagom\'{e} lattice is studied in the
framework of Schwinger-boson mean-field theory. Two solutions with different
symmetries are presented. One solution gives a conventional quantum state with
$\mathbf{q}=0$ order for all spin values. Another gives a gapped spin liquid
state for spin $S=1/2$ and a mixed state with both $\mathbf{q}=0$ and
$\sqrt{3}\times \sqrt{3}$ orders for spin $S>1/2$. We emphasize that the mixed
state exhibits two sets of peaks in the static spin structure factor. And for
the case of spin $S=1/2$, the gap value we obtained is consistent with the
previous numerical calculations by other means. We also discuss the
thermodynamic quantities such as the specific heat and magnetic susceptibility
at low temperatures and show that our result is in a good agreement with the
Mermin-Wagner theorem.
| cond-mat.str-el cond-mat.mtrl-sci | the heisenberg antiferromagnet on the kagome lattice is studied in the framework of schwingerboson meanfield theory two solutions with different symmetries are presented one solution gives a conventional quantum state with mathbfq0 order for all spin values another gives a gapped spin liquid state for spin s12 and a mixed state with both mathbfq0 and sqrt3times sqrt3 orders for spin s12 we emphasize that the mixed state exhibits two sets of peaks in the static spin structure factor and for the case of spin s12 the gap value we obtained is consistent with the previous numerical calculations by other means we also discuss the thermodynamic quantities such as the specific heat and magnetic susceptibility at low temperatures and show that our result is in a good agreement with the merminwagner theorem | [['the', 'heisenberg', 'antiferromagnet', 'on', 'the', 'kagome', 'lattice', 'is', 'studied', 'in', 'the', 'framework', 'of', 'schwingerboson', 'meanfield', 'theory', 'two', 'solutions', 'with', 'different', 'symmetries', 'are', 'presented', 'one', 'solution', 'gives', 'a', 'conventional', 'quantum', 'state', 'with', 'mathbfq0', 'order', 'for', 'all', 'spin', 'values', 'another', 'gives', 'a', 'gapped', 'spin', 'liquid', 'state', 'for', 'spin', 's12', 'and', 'a', 'mixed', 'state', 'with', 'both', 'mathbfq0', 'and', 'sqrt3times', 'sqrt3', 'orders', 'for', 'spin', 's12', 'we', 'emphasize', 'that', 'the', 'mixed', 'state', 'exhibits', 'two', 'sets', 'of', 'peaks', 'in', 'the', 'static', 'spin', 'structure', 'factor', 'and', 'for', 'the', 'case', 'of', 'spin', 's12', 'the', 'gap', 'value', 'we', 'obtained', 'is', 'consistent', 'with', 'the', 'previous', 'numerical', 'calculations', 'by', 'other', 'means', 'we', 'also', 'discuss', 'the', 'thermodynamic', 'quantities', 'such', 'as', 'the', 'specific', 'heat', 'and', 'magnetic', 'susceptibility', 'at', 'low', 'temperatures', 'and', 'show', 'that', 'our', 'result', 'is', 'in', 'a', 'good', 'agreement', 'with', 'the', 'merminwagner', 'theorem']] | [-0.1649882794130782, 0.19141643895422827, -0.03753184564482733, 0.03856936889324686, -0.01148547769438845, -0.1315273227390499, 0.028241572653668584, 0.36226183730568595, -0.2118335537868374, -0.2523103981093994, 0.0823975428290139, -0.35014888720288306, -0.06891562151793704, 0.18970008509701033, 0.08153024914084386, 0.03266344150763364, 0.0010241396327055137, 0.06789863859401049, -0.14355072299843186, -0.20389680010764255, 0.301154583710324, -0.029638261407194305, 0.296549970426291, 0.0686656658303078, 0.07557938276000946, 0.03476999174689746, 0.1359735484562018, 0.03504243082871646, -0.18334116248241963, 0.05555931112252688, 0.24745367261588233, -0.07147875661563612, 0.13408428000975828, -0.42088141202045076, -0.2061123720348905, 0.01988644656575932, 0.08168444875627756, 0.18727226989727666, -0.04016752142764855, -0.2691606256581189, 0.04653828189608762, -0.19532308904702939, -0.1575259101729954, -0.15645577584371995, -0.0645775434837449, -0.037300210609856124, -0.2637359596853756, 0.15951611097872734, 0.09047234124141454, 0.06358405489971966, -0.11589347452053246, -0.19272053797679548, -0.054928197303275, 0.07069639801865316, 0.05150178336637905, 0.06847762124868863, 0.05331152479541097, -0.12461757529811322, -0.1850127334038208, 0.34585187587716426, -0.06507945102408443, -0.17357396482994766, 0.175608201364752, -0.19136089650658136, -0.12483786051570374, 0.09290713408805487, 0.01594268132840063, 0.08683002964444174, -0.09415455798854881, 0.06993105729223399, -0.06112125166514106, 0.17703026403736977, -0.022529026239271496, 0.06363366437556697, 0.21799921585808557, 0.18739055092482051, 0.06669980233876419, 0.16769729494268273, -0.0936870708082312, -0.17515891003386894, -0.2495554790526401, -0.1579400956957736, -0.22034170664935765, 0.08264626341495122, -0.12339664211721987, -0.1376024757561679, 0.3939110303567794, 0.13408238241879558, 0.1730356146901391, 0.02139672513283391, 0.21336910168405707, 0.1306259277817004, 0.001202546177389285, 0.0792758647629721, 0.2338368225600997, 0.18558720632754835, 0.08712240284706914, -0.27652998092648295, 0.017566577328781363, 0.06078805399788473] |
711.042 | A coupled Volterra system and its exact solutions | A coupled Volterra system is proposed. The model can be considered as one of
the integrable discrete form of the coupled integrable KdV system which is a
significant physical model. Many types of cnoidal waves, positons, negatons
(solitons) and complexitons of the model are obtained by a simple rational
expansion method of the Jacobi elliptic functions, trigonometric functions and
hyperbolic functions.
| nlin.SI nlin.PS | a coupled volterra system is proposed the model can be considered as one of the integrable discrete form of the coupled integrable kdv system which is a significant physical model many types of cnoidal waves positons negatons solitons and complexitons of the model are obtained by a simple rational expansion method of the jacobi elliptic functions trigonometric functions and hyperbolic functions | [['a', 'coupled', 'volterra', 'system', 'is', 'proposed', 'the', 'model', 'can', 'be', 'considered', 'as', 'one', 'of', 'the', 'integrable', 'discrete', 'form', 'of', 'the', 'coupled', 'integrable', 'kdv', 'system', 'which', 'is', 'a', 'significant', 'physical', 'model', 'many', 'types', 'of', 'cnoidal', 'waves', 'positons', 'negatons', 'solitons', 'and', 'complexitons', 'of', 'the', 'model', 'are', 'obtained', 'by', 'a', 'simple', 'rational', 'expansion', 'method', 'of', 'the', 'jacobi', 'elliptic', 'functions', 'trigonometric', 'functions', 'and', 'hyperbolic', 'functions']] | [-0.1892966854034877, 0.06878699143951544, -0.08339656861956979, 0.08934255297387354, -0.08109567586149348, -0.19938549601671393, -0.10017732109446995, 0.2868204343697575, -0.2987945193394286, -0.18487780706071463, 0.11728069656452195, -0.29086333049125357, -0.21271169515418226, 0.2282713979223102, 0.012718984261765832, 0.11644662699860628, 0.057594698025524374, 0.027675621478711485, -0.08145510635842554, -0.23113339711896708, 0.3317385349331088, -0.050615587760312636, 0.19299988508926796, -0.012071187483894899, 0.1635215471910893, -0.044657716726059796, 0.01480857226005221, -0.07108195423774544, -0.08714414413896251, 0.08778579562108536, 0.2253998672727068, 0.03167878399740477, 0.2264802016920914, -0.38203919220898974, -0.23857609378593805, 0.11265027419221206, 0.1843781314378024, 0.06743589086939016, 0.0039080105126514785, -0.30685674944190217, -0.02510357735922835, -0.181338350945076, -0.22792084370816096, -0.06188977512408842, -0.027325818811344806, 0.17223281054528522, -0.27518090443899396, 0.12050754286837383, 0.08051077569605875, 0.010056059135765325, -0.10930367221017598, -0.0720738567465336, -0.08673669858148596, 0.033073127903349576, -0.01700909827171718, 0.03589074346465898, 0.028527740702094115, -0.08653749330885342, -0.09890428277068451, 0.39665646748769967, -0.08396147787723629, -0.3262624846862965, 0.15752763497704242, -0.08548976455769333, -0.09622027869259969, 0.15165130805498997, 0.17740978437216312, 0.12864624494381371, -0.16622424415755468, 0.10167842604731378, -0.10485618811131256, 0.13319349378637482, 0.08797441342784489, -0.004570471878606277, 0.19384719165744352, 0.13071593265125497, 0.001992859449199416, 0.13159246673830402, 0.05025687429588288, -0.14476440878218558, -0.29977774644484284, -0.11586949413978175, -0.15190599385465756, 0.03282990749375742, -0.1273462123645004, -0.22450598280449383, 0.45708597666339673, 0.036336838977686206, 0.10622729243496891, 0.042487403914164446, 0.21115209140860644, 0.22479202146699165, 0.0768258850258149, 0.010023683279019887, 0.19571159098327892, 0.1680939310253216, 0.07965598412651996, -0.19136000990669136, -0.04654830579691734, 0.18177074488618825] |
711.0421 | Strings in pp-wave background and background B-field from membrane and
its symplectic quantization | The symplectic quantization technique is applied to open free membrane and
strings in pp-wave background and background gauge field obtained by
compactifying the open membrane in the presence of a background anti-symmetric
3--form field. In both cases, first the Poisson brackets among the Fourier
modes are obtained and then the Poisson brackets among the membrane(string)
coordinates are computed. The full noncommutative phase-space structure is
reproduced in case of strings in pp-wave background and background gauge field.
We feel that this method of obtaining the Poisson algebra is more elegant than
previous approaches discussed in the literature.
| hep-th | the symplectic quantization technique is applied to open free membrane and strings in ppwave background and background gauge field obtained by compactifying the open membrane in the presence of a background antisymmetric 3form field in both cases first the poisson brackets among the fourier modes are obtained and then the poisson brackets among the membranestring coordinates are computed the full noncommutative phasespace structure is reproduced in case of strings in ppwave background and background gauge field we feel that this method of obtaining the poisson algebra is more elegant than previous approaches discussed in the literature | [['the', 'symplectic', 'quantization', 'technique', 'is', 'applied', 'to', 'open', 'free', 'membrane', 'and', 'strings', 'in', 'ppwave', 'background', 'and', 'background', 'gauge', 'field', 'obtained', 'by', 'compactifying', 'the', 'open', 'membrane', 'in', 'the', 'presence', 'of', 'a', 'background', 'antisymmetric', '3form', 'field', 'in', 'both', 'cases', 'first', 'the', 'poisson', 'brackets', 'among', 'the', 'fourier', 'modes', 'are', 'obtained', 'and', 'then', 'the', 'poisson', 'brackets', 'among', 'the', 'membranestring', 'coordinates', 'are', 'computed', 'the', 'full', 'noncommutative', 'phasespace', 'structure', 'is', 'reproduced', 'in', 'case', 'of', 'strings', 'in', 'ppwave', 'background', 'and', 'background', 'gauge', 'field', 'we', 'feel', 'that', 'this', 'method', 'of', 'obtaining', 'the', 'poisson', 'algebra', 'is', 'more', 'elegant', 'than', 'previous', 'approaches', 'discussed', 'in', 'the', 'literature']] | [-0.1555850787080999, 0.1188214002662183, -0.044424106987814106, 0.11246390369342407, -0.08731508266646415, -0.1240477207514535, -0.04205590233323164, 0.36663205933291465, -0.21870891069314288, -0.26308129794779234, 0.027211015634141706, -0.2365490542627716, -0.16827312317521623, 0.16298256797987656, -0.08894465350507137, -0.023329614739244182, 0.017481444144020013, 0.07769506009935867, -0.0818408627116393, -0.28609616144240135, 0.3543268541106954, 0.08277805590235705, 0.2981107342008424, -0.06185269159808134, 0.11550708548020339, 0.0027343974409935377, -0.10167694014186661, 0.036197773335042406, -0.08826155586370987, 0.0898985412301651, 0.23103611436090432, 0.04902385637979023, 0.08614760029740864, -0.43499851605156437, -0.21739799547746466, 0.06691898036903392, 0.1930064265228187, 0.14585862397992364, -0.03219560550572472, -0.3162616487801036, 0.05235775568386695, -0.10019289189949632, -0.13467242420059242, -0.06355429783919438, 0.008041512588533806, -0.03369605078478344, -0.20762581736986854, 0.09257112101477105, 0.042943087944877334, 0.029739483424539987, -0.12363032615879395, -0.1231022261781618, -0.032512162637431175, 0.06385764502435147, 0.09907111255840088, 0.09889859619336978, 0.15719238008508304, -0.1561139701589127, -0.11074267430861558, 0.3710288544825744, -0.07088891414681105, -0.315357445506379, 0.09885972195964617, -0.16610945935826749, -0.16565833528875373, 0.13039431817984828, 0.061820466071367264, 0.12142401949192087, -0.1724747699972795, 0.2337100220635572, 0.009433289165220534, 0.061439017716717594, 0.16181283108502006, -0.013404753495706245, 0.1972891815045538, 0.08163550310443195, 0.04277228825352116, 0.12628771005256567, -0.04070210187637713, -0.12370000269341593, -0.3620543470994259, -0.12401921907439828, -0.12022773937011759, 0.07715066167293116, -0.12841710406974016, -0.18419940240952806, 0.3569179477635771, 0.12863336545221196, 0.11196942747725795, 0.008229330618632957, 0.25844831857830286, 0.10973453405798257, 0.04152815603689911, 0.0635510289624411, 0.22472146071959287, 0.24052978860709118, 0.10369235578885612, -0.17423166738444706, -0.15384955075811982, 0.12351837445506438] |
711.0422 | Radiative Transfer and Limb Darkening of Accretion Disks | Transfer equation in a geometrically thin accretion disk is reexamined under
the plane-parallel approximation with finite optical depth. Emergent intensity
is analytically obtained in the cases with or without internal heating. For
large or infinite optical depth, the emergent intensity exhibits a usual
limb-darkening effect, where the intensity linearly changes as a function of
the direction cosine. For small optical depth, on the other hand, the
angle-dependence of the emergent intensity drastically changes. In the case
without heating but with uniform incident radiation at the disk equator, the
emergent intensity becomes isotropic for small optical depth. In the case with
uniform internal heating, the limb brightening takes place for small optical
depth. We also emphasize and discuss the limb-darkening effect in an accretion
disk for several cases.
| astro-ph | transfer equation in a geometrically thin accretion disk is reexamined under the planeparallel approximation with finite optical depth emergent intensity is analytically obtained in the cases with or without internal heating for large or infinite optical depth the emergent intensity exhibits a usual limbdarkening effect where the intensity linearly changes as a function of the direction cosine for small optical depth on the other hand the angledependence of the emergent intensity drastically changes in the case without heating but with uniform incident radiation at the disk equator the emergent intensity becomes isotropic for small optical depth in the case with uniform internal heating the limb brightening takes place for small optical depth we also emphasize and discuss the limbdarkening effect in an accretion disk for several cases | [['transfer', 'equation', 'in', 'a', 'geometrically', 'thin', 'accretion', 'disk', 'is', 'reexamined', 'under', 'the', 'planeparallel', 'approximation', 'with', 'finite', 'optical', 'depth', 'emergent', 'intensity', 'is', 'analytically', 'obtained', 'in', 'the', 'cases', 'with', 'or', 'without', 'internal', 'heating', 'for', 'large', 'or', 'infinite', 'optical', 'depth', 'the', 'emergent', 'intensity', 'exhibits', 'a', 'usual', 'limbdarkening', 'effect', 'where', 'the', 'intensity', 'linearly', 'changes', 'as', 'a', 'function', 'of', 'the', 'direction', 'cosine', 'for', 'small', 'optical', 'depth', 'on', 'the', 'other', 'hand', 'the', 'angledependence', 'of', 'the', 'emergent', 'intensity', 'drastically', 'changes', 'in', 'the', 'case', 'without', 'heating', 'but', 'with', 'uniform', 'incident', 'radiation', 'at', 'the', 'disk', 'equator', 'the', 'emergent', 'intensity', 'becomes', 'isotropic', 'for', 'small', 'optical', 'depth', 'in', 'the', 'case', 'with', 'uniform', 'internal', 'heating', 'the', 'limb', 'brightening', 'takes', 'place', 'for', 'small', 'optical', 'depth', 'we', 'also', 'emphasize', 'and', 'discuss', 'the', 'limbdarkening', 'effect', 'in', 'an', 'accretion', 'disk', 'for', 'several', 'cases']] | [-0.09922445629261376, 0.17987944930528316, -0.02489572895074806, 0.06274564912740699, -0.06773966886689813, -0.11251713749475953, -0.00962360498796063, 0.44063051160806277, -0.2899361546847999, -0.2846653313324677, 0.08604872174924019, -0.2596273348422897, -0.0862549995072186, 0.21604075525175986, -0.026723596560732116, 0.008135888124192794, -0.02273622980179984, -0.01244271165273321, -0.05708471623315351, -0.1832688285595202, 0.2873378736810304, 0.07553974882604217, 0.26105623633608105, 0.032907511156664675, 0.0687460508050881, 0.024143444035040932, -0.017048892851068278, 0.037316783197703325, -0.11273574811685097, 0.033347748160498826, 0.16497618394104516, -0.008663529414668913, 0.18176772513639505, -0.44437484196057236, -0.2928264256874759, 0.0590020100784114, 0.13853027318662955, 0.10601150803817949, -0.040091762316457225, -0.19456988830104704, -0.04308253075692832, -0.11122881681255, -0.1781867583260292, 0.03354956719320355, 0.09408129514268357, 0.007989267728797446, -0.28953121103736845, 0.07898994817331573, 0.09199912578791497, 0.13628973382869808, -0.11861575494051038, -0.0633804991980648, -0.06381400506283472, 0.07990008187443605, 0.048944972012842605, 0.034147789342490235, 0.17337829400015276, -0.18278303974506072, -0.005278494297050115, 0.39132433666986977, -0.11887659308203591, -0.15134818643683523, 0.15037157984567792, -0.21764556529535728, -0.05284244438457325, 0.1724086851834899, 0.16158796860066454, 0.08021384732812409, -0.03282005917720907, 0.06943764912256033, -0.034494048347476665, 0.19149841583795904, 0.10723308132279401, 0.059465906040112336, 0.26721753884018873, 0.11877641444484975, 0.053744231244387826, 0.20030457555503386, -0.20934691371242187, -0.05975935870678875, -0.2693163096083431, -0.07596995654391257, -0.1207209369681013, 0.06818933849494288, -0.1555645706086909, -0.18920623258812222, 0.3488828436302857, 0.12987955472263413, 0.2151623558075505, 0.03234721411001918, 0.38637623931537934, 0.18265729032247877, 0.059046679271722406, 0.10536967174656044, 0.3110555704668399, 0.11147139036815291, 0.1320152796941716, -0.27151481733807753, 0.09090160646688515, 0.03170421495887003] |
711.0423 | Relativistic Radiative Flow in a Luminous Disk II | Radiatively-driven transfer flow perpendicular to a luminous disk is examined
in the relativistic regime of $(v/c)^2$, taking into account the gravity of the
central object. The flow is assumed to be vertical, and the gas pressure as
well as the magnetic field are ignored. Using a velocity-dependent variable
Eddington factor, we can solve the rigorous equations of the relativistic
radiative flow accelerated up to the {\it relativistic} speed. For sufficiently
luminous cases, the flow resembles the case without gravity. For less-luminous
or small initial radius cases, however, the flow velocity decreases due to
gravity. Application to a supercritical accretion disk with mass loss is
briefly discussed.
| astro-ph | radiativelydriven transfer flow perpendicular to a luminous disk is examined in the relativistic regime of vc2 taking into account the gravity of the central object the flow is assumed to be vertical and the gas pressure as well as the magnetic field are ignored using a velocitydependent variable eddington factor we can solve the rigorous equations of the relativistic radiative flow accelerated up to the it relativistic speed for sufficiently luminous cases the flow resembles the case without gravity for lessluminous or small initial radius cases however the flow velocity decreases due to gravity application to a supercritical accretion disk with mass loss is briefly discussed | [['radiativelydriven', 'transfer', 'flow', 'perpendicular', 'to', 'a', 'luminous', 'disk', 'is', 'examined', 'in', 'the', 'relativistic', 'regime', 'of', 'vc2', 'taking', 'into', 'account', 'the', 'gravity', 'of', 'the', 'central', 'object', 'the', 'flow', 'is', 'assumed', 'to', 'be', 'vertical', 'and', 'the', 'gas', 'pressure', 'as', 'well', 'as', 'the', 'magnetic', 'field', 'are', 'ignored', 'using', 'a', 'velocitydependent', 'variable', 'eddington', 'factor', 'we', 'can', 'solve', 'the', 'rigorous', 'equations', 'of', 'the', 'relativistic', 'radiative', 'flow', 'accelerated', 'up', 'to', 'the', 'it', 'relativistic', 'speed', 'for', 'sufficiently', 'luminous', 'cases', 'the', 'flow', 'resembles', 'the', 'case', 'without', 'gravity', 'for', 'lessluminous', 'or', 'small', 'initial', 'radius', 'cases', 'however', 'the', 'flow', 'velocity', 'decreases', 'due', 'to', 'gravity', 'application', 'to', 'a', 'supercritical', 'accretion', 'disk', 'with', 'mass', 'loss', 'is', 'briefly', 'discussed']] | [-0.12017946737600965, 0.14513406348151137, -0.05205522084889828, 0.11493068446299799, -0.0902741541207399, -0.12627327269083768, -0.05292011411280705, 0.368143464262896, -0.23728031809713565, -0.28840095031444196, 0.08879941471145084, -0.236165060780345, 0.0068503321776658575, 0.2090586031240577, -0.04625247710577722, 0.03355135210737024, 0.019784641232482105, -0.00707405425590586, -0.05756684043444693, -0.19434041830377197, 0.32257661306000546, 0.07768831301902263, 0.1766154684108805, 0.03310162399594566, 0.09083676174775047, -0.06906662085796443, -0.002779413023436407, 0.077399360499462, -0.13649559998006192, 0.008747581128944765, 0.16265773521692334, 0.03212830810895506, 0.2537849570782679, -0.4133089867811474, -0.28630728445912024, 0.03298095146299533, 0.1833345900215033, 0.11757260213061324, -0.045965743049065456, -0.2151957212240031, 0.04645320529311474, -0.21722561980263805, -0.18948193384721032, -0.007716947766723779, 0.04669203007932014, -0.005710912012837757, -0.263215341877614, 0.16263948974884906, 0.06508632485105717, -0.006380712861669654, -0.083343586211207, -0.053985142474115455, -0.06168471221188259, 0.07105509557032008, 0.13563205719099575, 0.08978821663625257, 0.22666208123797024, -0.1893332900769376, 0.011631985563995704, 0.48416879780168803, -0.08672051984851933, -0.15830532907736752, 0.194982370822954, -0.18588901386719267, -0.07403950760896616, 0.149793252085318, 0.21383299869221617, 0.13874653942514, -0.10871144409625316, 0.039221681970202385, -0.021761282903959376, 0.13010179241987402, 0.0603837017365292, -0.034726414078284265, 0.2832221016046187, 0.12236405127980518, 0.02709958793700866, 0.1387045109229391, -0.1425414781244296, -0.1124038241083189, -0.29718341416556315, -0.1258030587121985, -0.11978367278967404, 0.08432982364704586, -0.1258907520764382, -0.12055802195034218, 0.2817489126749899, 0.11580853793717358, 0.1927751071909267, -0.0035862375208932274, 0.34853205246464264, 0.17926642899445416, 0.08390495440986376, 0.18645835787997986, 0.3344482317619588, 0.21958271979863914, 0.14063093616442648, -0.27326297532011457, 0.029361772783680486, 0.07678038277882943] |
711.0424 | Radiative Transfer in Accretion-Disk Winds | Radiative transfer equation in an accretion disk wind is examined
analytically and numerically under the plane-parallel approximation in the
subrelativistic regime of $(v/c)^1$, where $v$ is the wind vertical velocity.
Emergent intensity is analytically obtained for the case of a large optical
depth, where the flow speed and the source function are almost constant. The
usual limb-darkening effect, which depends on the direction cosine at the
zero-optical depth surface, does not appear, since the source function is
constant. Because of the vertical motion of winds, however, the emergent
intensity exhibits the {\it velocity-dependent} limb-darkening effect, which
comes from the Doppler and aberration effects. Radiative moments and emergent
intensity are also numerically obtained. When the flow speed is small ($v \leq
0.1c$), the radiative structure resembles to that of the static atmosphere,
where the source function is proportional to the optical depth, and the usual
limb-darkening effect exists. When the flow speed becomes large, on the other
hand, the flow speed attains the constant terminal one, and the
velocity-dependent limb-darkening effect appears. We thus carefully treat and
estimate the wind luminosity and limb-darkening effect, when we observe an
accretion disk wind.
| astro-ph | radiative transfer equation in an accretion disk wind is examined analytically and numerically under the planeparallel approximation in the subrelativistic regime of vc1 where v is the wind vertical velocity emergent intensity is analytically obtained for the case of a large optical depth where the flow speed and the source function are almost constant the usual limbdarkening effect which depends on the direction cosine at the zerooptical depth surface does not appear since the source function is constant because of the vertical motion of winds however the emergent intensity exhibits the it velocitydependent limbdarkening effect which comes from the doppler and aberration effects radiative moments and emergent intensity are also numerically obtained when the flow speed is small v leq 01c the radiative structure resembles to that of the static atmosphere where the source function is proportional to the optical depth and the usual limbdarkening effect exists when the flow speed becomes large on the other hand the flow speed attains the constant terminal one and the velocitydependent limbdarkening effect appears we thus carefully treat and estimate the wind luminosity and limbdarkening effect when we observe an accretion disk wind | [['radiative', 'transfer', 'equation', 'in', 'an', 'accretion', 'disk', 'wind', 'is', 'examined', 'analytically', 'and', 'numerically', 'under', 'the', 'planeparallel', 'approximation', 'in', 'the', 'subrelativistic', 'regime', 'of', 'vc1', 'where', 'v', 'is', 'the', 'wind', 'vertical', 'velocity', 'emergent', 'intensity', 'is', 'analytically', 'obtained', 'for', 'the', 'case', 'of', 'a', 'large', 'optical', 'depth', 'where', 'the', 'flow', 'speed', 'and', 'the', 'source', 'function', 'are', 'almost', 'constant', 'the', 'usual', 'limbdarkening', 'effect', 'which', 'depends', 'on', 'the', 'direction', 'cosine', 'at', 'the', 'zerooptical', 'depth', 'surface', 'does', 'not', 'appear', 'since', 'the', 'source', 'function', 'is', 'constant', 'because', 'of', 'the', 'vertical', 'motion', 'of', 'winds', 'however', 'the', 'emergent', 'intensity', 'exhibits', 'the', 'it', 'velocitydependent', 'limbdarkening', 'effect', 'which', 'comes', 'from', 'the', 'doppler', 'and', 'aberration', 'effects', 'radiative', 'moments', 'and', 'emergent', 'intensity', 'are', 'also', 'numerically', 'obtained', 'when', 'the', 'flow', 'speed', 'is', 'small', 'v', 'leq', '01c', 'the', 'radiative', 'structure', 'resembles', 'to', 'that', 'of', 'the', 'static', 'atmosphere', 'where', 'the', 'source', 'function', 'is', 'proportional', 'to', 'the', 'optical', 'depth', 'and', 'the', 'usual', 'limbdarkening', 'effect', 'exists', 'when', 'the', 'flow', 'speed', 'becomes', 'large', 'on', 'the', 'other', 'hand', 'the', 'flow', 'speed', 'attains', 'the', 'constant', 'terminal', 'one', 'and', 'the', 'velocitydependent', 'limbdarkening', 'effect', 'appears', 'we', 'thus', 'carefully', 'treat', 'and', 'estimate', 'the', 'wind', 'luminosity', 'and', 'limbdarkening', 'effect', 'when', 'we', 'observe', 'an', 'accretion', 'disk', 'wind']] | [-0.11260431099845658, 0.14777701333914786, -0.045043135310705536, 0.07098156114591768, -0.10761635402887665, -0.13297067524214823, -0.024923233656587187, 0.3944136231506943, -0.31632037039298905, -0.2841552407456138, 0.07840557951879289, -0.28055581024591686, -0.07046605787201779, 0.2306254786936931, -0.022240081728096047, 0.018798045129712337, 0.005698649984431483, 0.002496418964472555, -0.04063864805020448, -0.18459405285237288, 0.31545535530205127, 0.07457626147920059, 0.2508803971614393, 0.07128838926526625, 0.10941480884387617, -0.046298710222814295, -0.014353379745174337, 0.031216649979195266, -0.1356392869611949, 0.014054585627659603, 0.10317929860983024, 0.04853559580567495, 0.19568416468242292, -0.3820336501399873, -0.2547217310854682, 0.04850777888315774, 0.15752508107784682, 0.09398597418133504, -0.003915134382498248, -0.17725943928158217, -0.003700029541043535, -0.14892182153620062, -0.1511932403765737, 0.020504554278058956, 0.09972801515413694, 0.01887626486901864, -0.3000161722367112, 0.11211010061371357, 0.04448686158728032, 0.07941366540250817, -0.0713459279821821, -0.07204726063671014, -0.0816776414941405, 0.0976900231256704, 0.08331984081366389, 0.041265796521363196, 0.169895288285617, -0.17645603937445523, 0.022173016758330128, 0.4368019502600113, -0.13192138296863676, -0.1789056291192691, 0.13958453019667003, -0.22703020699401066, -0.017126664561194875, 0.14677135808092773, 0.1838451692047307, 0.11681710396370994, -0.08327963075589169, 0.06852130912411859, -0.021316612609933134, 0.1872147295978807, 0.06450228951994585, -0.002924906008595985, 0.22738406464220987, 0.08772740669661847, 0.0559868613139741, 0.12511445414404282, -0.20937256125989492, -0.07252042378032846, -0.2717558885653498, -0.09287844512552496, -0.1407960420326581, 0.057872947577769604, -0.1542166445112329, -0.1614104873986136, 0.33965872743575976, 0.14565059670404823, 0.17824035806218794, 0.03406568541359058, 0.381626542171626, 0.21627875192770882, 0.04586505517979502, 0.17855106192276315, 0.3345472771014092, 0.1361683190001973, 0.1271909099631504, -0.31648804175127887, 0.11503755946110235, 0.048225411905034904] |
711.0425 | Superfluidity and phase transitions in a resonant Bose gas | The atomic Bose gas is studied across a Feshbach resonance, mapping out its
phase diagram, and computing its thermodynamics and excitation spectra. It is
shown that such a degenerate gas admits two distinct atomic and molecular
superfluid phases, with the latter distinguished by the absence of atomic
off-diagonal long-range order, gapped atomic excitations, and deconfined atomic
pi-vortices. The properties of the molecular superfluid are explored, and it is
shown that across a Feshbach resonance it undergoes a quantum Ising transition
to the atomic superfluid, where both atoms and molecules are condensed. In
addition to its distinct thermodynamic signatures and deconfined half-vortices,
in a trap a molecular superfluid should be identifiable by the absence of an
atomic condensate peak and the presence of a molecular one.
| cond-mat.supr-con cond-mat.stat-mech | the atomic bose gas is studied across a feshbach resonance mapping out its phase diagram and computing its thermodynamics and excitation spectra it is shown that such a degenerate gas admits two distinct atomic and molecular superfluid phases with the latter distinguished by the absence of atomic offdiagonal longrange order gapped atomic excitations and deconfined atomic pivortices the properties of the molecular superfluid are explored and it is shown that across a feshbach resonance it undergoes a quantum ising transition to the atomic superfluid where both atoms and molecules are condensed in addition to its distinct thermodynamic signatures and deconfined halfvortices in a trap a molecular superfluid should be identifiable by the absence of an atomic condensate peak and the presence of a molecular one | [['the', 'atomic', 'bose', 'gas', 'is', 'studied', 'across', 'a', 'feshbach', 'resonance', 'mapping', 'out', 'its', 'phase', 'diagram', 'and', 'computing', 'its', 'thermodynamics', 'and', 'excitation', 'spectra', 'it', 'is', 'shown', 'that', 'such', 'a', 'degenerate', 'gas', 'admits', 'two', 'distinct', 'atomic', 'and', 'molecular', 'superfluid', 'phases', 'with', 'the', 'latter', 'distinguished', 'by', 'the', 'absence', 'of', 'atomic', 'offdiagonal', 'longrange', 'order', 'gapped', 'atomic', 'excitations', 'and', 'deconfined', 'atomic', 'pivortices', 'the', 'properties', 'of', 'the', 'molecular', 'superfluid', 'are', 'explored', 'and', 'it', 'is', 'shown', 'that', 'across', 'a', 'feshbach', 'resonance', 'it', 'undergoes', 'a', 'quantum', 'ising', 'transition', 'to', 'the', 'atomic', 'superfluid', 'where', 'both', 'atoms', 'and', 'molecules', 'are', 'condensed', 'in', 'addition', 'to', 'its', 'distinct', 'thermodynamic', 'signatures', 'and', 'deconfined', 'halfvortices', 'in', 'a', 'trap', 'a', 'molecular', 'superfluid', 'should', 'be', 'identifiable', 'by', 'the', 'absence', 'of', 'an', 'atomic', 'condensate', 'peak', 'and', 'the', 'presence', 'of', 'a', 'molecular', 'one']] | [-0.1650324952704156, 0.28680900522686575, -0.07741554962441084, 0.037862181249487724, 0.033480422732780776, -0.1544832905619255, 0.06549587465950378, 0.3709771045513691, -0.23902054212897295, -0.21379641357869392, 0.0019950556865472708, -0.30078454221027995, -0.06761545423538454, 0.08237219664959176, 0.12898877237157355, 0.037718494849433494, -0.02285952635687746, 0.004011376655750697, -0.09204637003131211, -0.19151327539716037, 0.30479235641448005, -0.030263776332327734, 0.2529292178336501, 0.11244221322704107, 0.0683765743123067, -0.0726701826256284, 0.10131894181587643, -0.011499790347091133, -0.15762498459627106, 0.0657070427006411, 0.2796121065790254, -0.03616341458813798, 0.17634955437613592, -0.41999499660526074, -0.22748220340262407, 0.09783143869924149, 0.2063240515548856, 0.1697110334982074, -0.0372580494994538, -0.32339180095662035, -0.04239905428051228, -0.19374458816262982, -0.15285776697489764, -0.149481653724046, 0.024743616126567846, 0.021721065119509737, -0.21153716641222878, 0.10407419882774833, 0.08723154527345492, 0.11990257093660353, -0.061859406293332274, -0.04063808825618077, -0.04904835609598986, 0.06628016619417336, -0.046462072260422455, 0.05989773007627997, 0.23188191396935331, -0.17539150236294634, -0.0515109802325887, 0.44798350718713575, -0.08404620596106284, -0.08906605764622649, 0.26409691632462423, -0.16659514335438988, -0.09128045428998678, 0.19421938751568837, 0.01755396118472075, 0.04481331146352233, -0.11622843209014748, 0.05734192966408427, -0.07804504005358584, 0.17842608901687088, 0.055605564715205544, 0.09130961992477457, 0.316725478796739, 0.130508127900201, 0.01420571364747781, 0.17543875534113706, -0.1303912590704004, -0.17234661740686505, -0.21978362457406136, -0.17115644726812118, -0.26089767079740284, 0.0023819249641570833, -0.0073718788513478135, -0.18253092280159058, 0.37366383497212685, 0.07495505640925389, 0.19767755992530334, -0.1303755620296391, 0.2912334557847991, 0.1152151534784465, 0.04099747066145703, 0.02993096169103087, 0.24042754232763283, 0.21020915439247242, 0.07711058088217772, -0.3395917993752406, 0.008154882978077137, 0.03395613033564821] |
711.0426 | On trapped surface formation in gravitational collapse II | Further to our consideration on trapped surfaces in gravitational collapse,
where pressures were allowed to be negative while satisfying weak energy
condition to avoid trapped surface formation, we discuss here several other
attempts of similar nature in this direction. Certain astrophysical aspects are
pointed out towards examining the physical realization of such a possibility in
realistic gravitational collapse.
| gr-qc astro-ph hep-th | further to our consideration on trapped surfaces in gravitational collapse where pressures were allowed to be negative while satisfying weak energy condition to avoid trapped surface formation we discuss here several other attempts of similar nature in this direction certain astrophysical aspects are pointed out towards examining the physical realization of such a possibility in realistic gravitational collapse | [['further', 'to', 'our', 'consideration', 'on', 'trapped', 'surfaces', 'in', 'gravitational', 'collapse', 'where', 'pressures', 'were', 'allowed', 'to', 'be', 'negative', 'while', 'satisfying', 'weak', 'energy', 'condition', 'to', 'avoid', 'trapped', 'surface', 'formation', 'we', 'discuss', 'here', 'several', 'other', 'attempts', 'of', 'similar', 'nature', 'in', 'this', 'direction', 'certain', 'astrophysical', 'aspects', 'are', 'pointed', 'out', 'towards', 'examining', 'the', 'physical', 'realization', 'of', 'such', 'a', 'possibility', 'in', 'realistic', 'gravitational', 'collapse']] | [-0.14676685041169926, 0.1540189487538461, -0.04184665563837465, 0.08473269792940018, -0.11262001584540925, -0.12479791848856056, 0.050860236639735, 0.3642744502887644, -0.22692146797760807, -0.30372872025352615, 0.06800694023620273, -0.21064337371429026, -0.09776036492709456, 0.2017516227728077, -0.017534384426590836, 0.0534383691767038, 0.01738368511071493, -0.004928686543656835, -0.07861829706435573, -0.24156378717001142, 0.3625275280069688, 0.09749120040314979, 0.24155966124240438, 0.09863159060879642, 0.009872049085217816, -0.0672521823816451, -0.0250203897453973, 0.03239621356900396, -0.19332635557883146, 0.02218222418992684, 0.2206198287292801, 0.07953127684746066, 0.2834603000946086, -0.4967782584115349, -0.284003188705136, 0.13653944200707663, 0.10911485273591724, 0.16428909015215548, -0.09349137075157066, -0.3161934480906047, 0.06579293848561316, -0.12472735463384667, -0.18657654693253853, -0.07780513697271717, 0.016925031291160346, 0.022101677110185847, -0.1812442160564764, 0.04787101257785127, 0.04916087213646749, -0.0033800106591962533, -0.11384685974214868, -0.05677924744367342, -0.02012615949156341, 0.05507694164708514, 0.07826540785127095, -0.004585146590874627, 0.15996468549690626, -0.12115075517493974, -0.035921783025922444, 0.41201476482995625, -0.0070372890612784905, -0.18559130403245316, 0.2480317934633008, -0.17334613037006608, -0.19069946990027253, 0.13496798098665372, 0.15056282258993978, 0.08877952984566319, -0.13050261302048277, 0.016274281600811357, 0.009851386874978399, 0.06952287098553417, 0.16285849994465965, 0.05032506227043682, 0.33794132212241146, 0.14471994600748514, 0.04120987909846008, 0.14361515491779347, -0.08346136034353925, -0.12444996429960532, -0.3355261931870261, -0.1541433035042779, -0.09767409234211363, 0.11141736687417945, -0.0161263405441724, -0.11374749940145633, 0.3249172234008538, 0.17762333946302533, 0.19436614742052966, -0.0372941456895707, 0.26190594641556, 0.04482537910848021, 0.04648418270918573, 0.020025162620405698, 0.30745562141889643, 0.1067940466856616, 0.061278901580753255, -0.21620097390279688, 0.02930815956868424, -0.0037788894059586115] |
711.0427 | Fragment-collision model for compound chondrule formation: Estimation of
collision probability | We propose a new scenario for compound chondrule formation named as
"fragment-collision model," in the framework of the shock-wave heating model. A
molten cm-sized dust particle (parent) is disrupted in the high-velocity gas
flow. The extracted fragments (ejectors) are scattered behind the parent and
the mutual collisions between them will occur. We modeled the disruption event
by analytic considerations in order to estimate the probability of the mutual
collisions assuming that all ejectors have the same radius. We found that the
estimated collision probability, which is the probability of collisions
experienced by an ejector in one disruption event, can account for the observed
fraction of compound chondrules. In addition, the model predictions are
qualitatively consistent with other observational data (oxygen isotopic
composition, textural types, and size ratios of constituents). Based on these
results, we concluded that this new model can be one of the strongest
candidates for the compound chondrule formation.
It should be noted that all collisions do not necessarily lead to the
compound chondrule formation. The formation efficiency and the future works
which should be investigated in the forthcoming paper are also discussed.
| astro-ph | we propose a new scenario for compound chondrule formation named as fragmentcollision model in the framework of the shockwave heating model a molten cmsized dust particle parent is disrupted in the highvelocity gas flow the extracted fragments ejectors are scattered behind the parent and the mutual collisions between them will occur we modeled the disruption event by analytic considerations in order to estimate the probability of the mutual collisions assuming that all ejectors have the same radius we found that the estimated collision probability which is the probability of collisions experienced by an ejector in one disruption event can account for the observed fraction of compound chondrules in addition the model predictions are qualitatively consistent with other observational data oxygen isotopic composition textural types and size ratios of constituents based on these results we concluded that this new model can be one of the strongest candidates for the compound chondrule formation it should be noted that all collisions do not necessarily lead to the compound chondrule formation the formation efficiency and the future works which should be investigated in the forthcoming paper are also discussed | [['we', 'propose', 'a', 'new', 'scenario', 'for', 'compound', 'chondrule', 'formation', 'named', 'as', 'fragmentcollision', 'model', 'in', 'the', 'framework', 'of', 'the', 'shockwave', 'heating', 'model', 'a', 'molten', 'cmsized', 'dust', 'particle', 'parent', 'is', 'disrupted', 'in', 'the', 'highvelocity', 'gas', 'flow', 'the', 'extracted', 'fragments', 'ejectors', 'are', 'scattered', 'behind', 'the', 'parent', 'and', 'the', 'mutual', 'collisions', 'between', 'them', 'will', 'occur', 'we', 'modeled', 'the', 'disruption', 'event', 'by', 'analytic', 'considerations', 'in', 'order', 'to', 'estimate', 'the', 'probability', 'of', 'the', 'mutual', 'collisions', 'assuming', 'that', 'all', 'ejectors', 'have', 'the', 'same', 'radius', 'we', 'found', 'that', 'the', 'estimated', 'collision', 'probability', 'which', 'is', 'the', 'probability', 'of', 'collisions', 'experienced', 'by', 'an', 'ejector', 'in', 'one', 'disruption', 'event', 'can', 'account', 'for', 'the', 'observed', 'fraction', 'of', 'compound', 'chondrules', 'in', 'addition', 'the', 'model', 'predictions', 'are', 'qualitatively', 'consistent', 'with', 'other', 'observational', 'data', 'oxygen', 'isotopic', 'composition', 'textural', 'types', 'and', 'size', 'ratios', 'of', 'constituents', 'based', 'on', 'these', 'results', 'we', 'concluded', 'that', 'this', 'new', 'model', 'can', 'be', 'one', 'of', 'the', 'strongest', 'candidates', 'for', 'the', 'compound', 'chondrule', 'formation', 'it', 'should', 'be', 'noted', 'that', 'all', 'collisions', 'do', 'not', 'necessarily', 'lead', 'to', 'the', 'compound', 'chondrule', 'formation', 'the', 'formation', 'efficiency', 'and', 'the', 'future', 'works', 'which', 'should', 'be', 'investigated', 'in', 'the', 'forthcoming', 'paper', 'are', 'also', 'discussed']] | [-0.0849928374192804, 0.15594947545192236, -0.09914575298013084, 0.10235497962022909, -0.023192411308865183, -0.07002419705057274, 0.0012647151477564046, 0.37372667950061755, -0.23542635231886222, -0.29211604663768137, 0.04972519715438071, -0.2973062900532766, -0.07780621767850117, 0.13376192177225754, -0.027684661561025954, 0.012425917661976595, 0.07051212248599927, 0.028048224443488794, -0.03444258478956054, -0.2521070489348621, 0.29366927274437016, 0.11553185351152459, 0.21120109881872928, 0.06602284353721188, 0.026079435466469833, -0.053308692707619426, 0.00570141779937093, 0.022456003985691652, -0.18232552120468387, 0.07696238239156589, 0.2170432203818801, 0.12484955978225512, 0.19006963601619328, -0.441904970748431, -0.24770411756395808, 0.08109256848642278, 0.16755108222739934, 0.08905092673597645, -0.08853070837136803, -0.2573946081215779, 0.09484163301828591, -0.24151939626418703, -0.14081562711837012, 0.013233021838064104, 0.014009313794541295, 0.031599005999337154, -0.26585723628269753, 0.10481241926074449, 0.08519283141409371, -0.0010229187977054844, -0.12383378190292127, -0.12843861117068192, -0.07431440130534137, 0.0757462566322394, 0.07508404471066213, -0.005042035056723525, 0.18757028520517255, -0.0718565863752029, -0.07300122091344194, 0.40407091543159407, -0.0184119584389365, -0.09739650440726268, 0.22889178775822866, -0.19482997038563632, -0.15527608220050435, 0.16831625970308264, 0.1770909088534055, 0.09626204232715638, -0.20211561550335636, -0.038491074595304264, -0.04033060423440158, 0.15295811447456642, 0.07647565731768617, 0.03837366549186814, 0.2942819158627611, 0.17024632602039239, -0.047434094111414866, 0.11601003523854002, -0.13981667078753715, -0.10943385967402719, -0.2850925808408014, -0.12865727932860507, -0.1434901902900057, -0.0018390139131319618, -0.07175943071667026, -0.09285560262050359, 0.2725319979135352, 0.16266899623493056, 0.24921218895242023, -0.012166732217377537, 0.26367569433363236, 0.08946060525056015, 0.09464530751448245, 0.07957217197753894, 0.26708296595809417, 0.0838001246131329, 0.07461623372902344, -0.22444809624753165, 0.20274896440652967, 0.04495140354771612] |
711.0428 | Geometric flows and black hole entropy | Perelman has given a gradient formulation for the Ricci flow, introducing an
``entropy function'' which increases monotonically along the flow.We pursue a
thermodynamic analogy and apply Ricci flow ideas to general relativity. We
investigate whether Perelman's entropy is related to
(Bekenstein-Hawking)geometric entropy as familiar from black hole
thermodynamics. From a study of the fixed points of the flow we conclude that
Perelman entropy is not connected to geometric entropy. However, we notice that
there is a very similar flow which DOES appear to be connected to geometric
entropy. The new flow may find applications in black hole physics suggesting
for instance, new approaches to the Penrose inequality.
| gr-qc | perelman has given a gradient formulation for the ricci flow introducing an entropy function which increases monotonically along the flowwe pursue a thermodynamic analogy and apply ricci flow ideas to general relativity we investigate whether perelmans entropy is related to bekensteinhawkinggeometric entropy as familiar from black hole thermodynamics from a study of the fixed points of the flow we conclude that perelman entropy is not connected to geometric entropy however we notice that there is a very similar flow which does appear to be connected to geometric entropy the new flow may find applications in black hole physics suggesting for instance new approaches to the penrose inequality | [['perelman', 'has', 'given', 'a', 'gradient', 'formulation', 'for', 'the', 'ricci', 'flow', 'introducing', 'an', 'entropy', 'function', 'which', 'increases', 'monotonically', 'along', 'the', 'flowwe', 'pursue', 'a', 'thermodynamic', 'analogy', 'and', 'apply', 'ricci', 'flow', 'ideas', 'to', 'general', 'relativity', 'we', 'investigate', 'whether', 'perelmans', 'entropy', 'is', 'related', 'to', 'bekensteinhawkinggeometric', 'entropy', 'as', 'familiar', 'from', 'black', 'hole', 'thermodynamics', 'from', 'a', 'study', 'of', 'the', 'fixed', 'points', 'of', 'the', 'flow', 'we', 'conclude', 'that', 'perelman', 'entropy', 'is', 'not', 'connected', 'to', 'geometric', 'entropy', 'however', 'we', 'notice', 'that', 'there', 'is', 'a', 'very', 'similar', 'flow', 'which', 'does', 'appear', 'to', 'be', 'connected', 'to', 'geometric', 'entropy', 'the', 'new', 'flow', 'may', 'find', 'applications', 'in', 'black', 'hole', 'physics', 'suggesting', 'for', 'instance', 'new', 'approaches', 'to', 'the', 'penrose', 'inequality']] | [-0.12478228707443036, 0.11109040044816322, -0.16811451807263353, 0.10664286805826816, -0.11075116295057039, -0.18812233774612347, -0.0009292266375961757, 0.27227810411492276, -0.2953454879777772, -0.23993606502190232, 0.09936301943158642, -0.341092434893584, -0.12188456185339462, 0.19086272601215612, -0.17450028621990765, 0.04117572190506118, 0.015896996560816962, 0.09503981386799187, -0.09891753192226004, -0.20297069773077964, 0.35866233903382505, 0.037042473673465706, 0.28203943216552335, 0.138537302846089, 0.08654420115053654, -0.04430250890907787, 0.005277594241003196, 0.14353955325094006, -0.22343941063999886, 0.09908216706521454, 0.2239681931877775, 0.15200737636713754, 0.24730702318428527, -0.3713233041443995, -0.2993200601477708, 0.11226920277501146, 0.12178243408423095, 0.12871987605689184, -0.08748538271479664, -0.19427567874746662, 0.06879540707561232, -0.1701617032999084, -0.14024312749305473, -0.09273254057569873, 0.022714140989063752, -0.03662190389309433, -0.19917386516130398, 0.1326429377620419, 0.10660904154979757, -0.00936356478681167, -0.06340833031350658, -0.025127531106894214, -0.05520375980773852, 0.0714227261642615, 0.12294416647360083, 0.09832925575874037, 0.1673699750919782, -0.0959933964979081, -0.11374918802951774, 0.33929248117797434, -0.0640009912972649, -0.20188107773484218, 0.19141123408806465, -0.12576026369241022, -0.1614937437268617, 0.04913873706190359, 0.17227881938507336, 0.1710007834203896, -0.12941269192046354, 0.05108776339496087, -0.026475050814804578, 0.1539091664687952, 0.07468121280627592, -0.02365455256409145, 0.25893099049017543, 0.07181444137933708, 0.14748670219754179, 0.20074323561996044, 0.00546284179824094, -0.15695208649461467, -0.32601858647096726, -0.2330033633059689, -0.189600280188911, 0.14816202471889223, -0.12174141977766773, -0.17093242333669748, 0.32579234810989527, 0.10616495755966752, 0.20379459597170352, 0.05258551087186095, 0.23570675518186318, 0.12062890203115309, 0.04044895072778066, 0.16622653050192943, 0.27784382405779545, 0.1819652345940648, 0.1601656781332124, -0.19125063091161706, -0.0014131590751709328, 0.1702608962055473] |
711.0429 | Equivalence of types and Catlin boundary systems | The D'Angelo finite type is shown to be equivalent to the Kohn finite ideal
type on smooth, pseudoconvex domains in complex n space. This is known as the
Kohn Conjecture. The argument uses Catlin's notion of a boundary system as well
as methods from subanalytic and semialgebraic geometry. When a subset of the
boundary contains only two level sets of the Catlin multitype, a lower bound
for the subelliptic gain in the \bar\partial-Neumann problem is obtained in
terms of the D'Angelo type, the dimension of the ambient space, and the level
of forms.
| math.CV math.AG | the dangelo finite type is shown to be equivalent to the kohn finite ideal type on smooth pseudoconvex domains in complex n space this is known as the kohn conjecture the argument uses catlins notion of a boundary system as well as methods from subanalytic and semialgebraic geometry when a subset of the boundary contains only two level sets of the catlin multitype a lower bound for the subelliptic gain in the barpartialneumann problem is obtained in terms of the dangelo type the dimension of the ambient space and the level of forms | [['the', 'dangelo', 'finite', 'type', 'is', 'shown', 'to', 'be', 'equivalent', 'to', 'the', 'kohn', 'finite', 'ideal', 'type', 'on', 'smooth', 'pseudoconvex', 'domains', 'in', 'complex', 'n', 'space', 'this', 'is', 'known', 'as', 'the', 'kohn', 'conjecture', 'the', 'argument', 'uses', 'catlins', 'notion', 'of', 'a', 'boundary', 'system', 'as', 'well', 'as', 'methods', 'from', 'subanalytic', 'and', 'semialgebraic', 'geometry', 'when', 'a', 'subset', 'of', 'the', 'boundary', 'contains', 'only', 'two', 'level', 'sets', 'of', 'the', 'catlin', 'multitype', 'a', 'lower', 'bound', 'for', 'the', 'subelliptic', 'gain', 'in', 'the', 'barpartialneumann', 'problem', 'is', 'obtained', 'in', 'terms', 'of', 'the', 'dangelo', 'type', 'the', 'dimension', 'of', 'the', 'ambient', 'space', 'and', 'the', 'level', 'of', 'forms']] | [-0.14657942924563402, 0.05494951838514798, -0.07108384436897693, 0.0795350590825922, -0.09161493570233385, -0.11026163475828306, 0.027381415759283368, 0.26004928981344544, -0.2772750236815022, -0.2011555395870199, 0.13376395377425618, -0.2539635792710087, -0.13523506124563997, 0.23210822462394673, -0.12387597454731823, 0.017305599054902473, 0.028985906212079908, 0.10027279246783745, -0.07245765382584224, -0.2753586402182938, 0.4196656605088583, -0.059608038344610766, 0.2640051919546339, 0.09927922969944375, 0.06782494821856098, -0.011973985268043415, 0.026261817989370193, 0.04996071988654133, -0.12866264517338927, 0.1350038687270435, 0.26579436954231034, 0.10044647557711009, 0.2803924032436904, -0.3447079558966942, -0.2153055783115848, 0.12431916105936491, 0.12030230114056219, 0.0312816226975091, 0.04558436374019791, -0.28961172163166027, 0.0891217229066677, -0.08606377227972913, -0.1945908736207232, 0.000272611236219765, 0.020255934772512283, 0.01022943658053234, -0.263212238508527, 0.06836866458216982, 0.13105218789555254, 0.07728809814759961, -0.10456089728501855, -0.11237079439239116, -0.06059659692528908, 0.05938407304848204, -0.0350878580137887, 0.07480184106414096, 0.05012175517397061, -0.06476672162941496, -0.09359474604328473, 0.3614569643802781, -0.07372943034786131, -0.2644438354739098, 0.23038605930063352, -0.15854554290893258, -0.10648311529889383, 0.12065421917065176, 0.11905479020569273, 0.1672040844105825, -0.08869315115863242, 0.20859520742043813, -0.08901444733172896, 0.0938937294507219, 0.10758182636752564, 0.00036596214919481227, 0.05643430925024453, 0.16477420627419906, 0.15250842906134102, 0.14765452799732767, -0.00846107836101725, -0.036009891619605404, -0.35502980225369013, -0.19607967877152166, -0.224130667155228, 0.09268846086436702, -0.11069508801403416, -0.22393124517127222, 0.3300509613748359, 0.020790553060911036, 0.20613974652263106, 0.06092092514999451, 0.23613570980046705, 0.11308651554313118, 0.024595152306300338, 0.07914870970391778, 0.15532024601294148, 0.17115518948944505, 0.05499448585674487, -0.172661823423339, 0.03627799473382452, 0.22034408850094644] |
711.043 | Energy, entropy and the Ricci flow | The Ricci flow is a heat equation for metrics, which has recently been used
to study the topology of closed three manifolds. In this paper we apply Ricci
flow techniques to general relativity. We view a three dimensional
asymptotically flat Riemannian metric as a time symmetric initial data set for
Einstein's equations. We study the evolution of the area A and Hawking mass M
of a two dimensional closed surface under the Ricci flow. The physical
relevance of our study derives from the fact that, in general relativity the
area of apparent horizons is related to black hole entropy and the Hawking mass
of an asymptotic round 2-sphere is the ADM energy.We begin by considering the
special case of spherical symmetry to develop a physical feel for the geometric
quantities involved. We then consider a general asymptotically flat Riemannian
metric and derive an inequality which relates the evolution of the area of a
closed surface S to its Hawking mass. We suggest that there may be a maximum
principle which governs the long term existence of the asymptotically flat
Ricci flow.
| gr-qc | the ricci flow is a heat equation for metrics which has recently been used to study the topology of closed three manifolds in this paper we apply ricci flow techniques to general relativity we view a three dimensional asymptotically flat riemannian metric as a time symmetric initial data set for einsteins equations we study the evolution of the area a and hawking mass m of a two dimensional closed surface under the ricci flow the physical relevance of our study derives from the fact that in general relativity the area of apparent horizons is related to black hole entropy and the hawking mass of an asymptotic round 2sphere is the adm energywe begin by considering the special case of spherical symmetry to develop a physical feel for the geometric quantities involved we then consider a general asymptotically flat riemannian metric and derive an inequality which relates the evolution of the area of a closed surface s to its hawking mass we suggest that there may be a maximum principle which governs the long term existence of the asymptotically flat ricci flow | [['the', 'ricci', 'flow', 'is', 'a', 'heat', 'equation', 'for', 'metrics', 'which', 'has', 'recently', 'been', 'used', 'to', 'study', 'the', 'topology', 'of', 'closed', 'three', 'manifolds', 'in', 'this', 'paper', 'we', 'apply', 'ricci', 'flow', 'techniques', 'to', 'general', 'relativity', 'we', 'view', 'a', 'three', 'dimensional', 'asymptotically', 'flat', 'riemannian', 'metric', 'as', 'a', 'time', 'symmetric', 'initial', 'data', 'set', 'for', 'einsteins', 'equations', 'we', 'study', 'the', 'evolution', 'of', 'the', 'area', 'a', 'and', 'hawking', 'mass', 'm', 'of', 'a', 'two', 'dimensional', 'closed', 'surface', 'under', 'the', 'ricci', 'flow', 'the', 'physical', 'relevance', 'of', 'our', 'study', 'derives', 'from', 'the', 'fact', 'that', 'in', 'general', 'relativity', 'the', 'area', 'of', 'apparent', 'horizons', 'is', 'related', 'to', 'black', 'hole', 'entropy', 'and', 'the', 'hawking', 'mass', 'of', 'an', 'asymptotic', 'round', '2sphere', 'is', 'the', 'adm', 'energywe', 'begin', 'by', 'considering', 'the', 'special', 'case', 'of', 'spherical', 'symmetry', 'to', 'develop', 'a', 'physical', 'feel', 'for', 'the', 'geometric', 'quantities', 'involved', 'we', 'then', 'consider', 'a', 'general', 'asymptotically', 'flat', 'riemannian', 'metric', 'and', 'derive', 'an', 'inequality', 'which', 'relates', 'the', 'evolution', 'of', 'the', 'area', 'of', 'a', 'closed', 'surface', 's', 'to', 'its', 'hawking', 'mass', 'we', 'suggest', 'that', 'there', 'may', 'be', 'a', 'maximum', 'principle', 'which', 'governs', 'the', 'long', 'term', 'existence', 'of', 'the', 'asymptotically', 'flat', 'ricci', 'flow']] | [-0.1756771431749594, 0.09443013923315367, -0.1288434699105706, 0.1059426173801889, -0.09854806745321958, -0.14519670348388056, -0.0367117840738823, 0.30008140528955346, -0.2161282865852838, -0.24502890803323782, 0.11790831254162305, -0.2772825629674207, -0.13613442726206879, 0.18189864527004468, -0.11700076727969674, 0.046146532288785944, 0.024256112694596224, 0.09703494276908016, -0.10902372926270373, -0.2371533665438157, 0.42490941534096693, 0.04713354690401758, 0.2731031017257055, 0.0795675655019737, 0.14104963699677311, -0.03490428338393322, 0.007656438325053256, 0.09205879687102646, -0.2170831973177094, 0.09880167720273383, 0.1980589514376997, 0.11966642561414953, 0.22183773924406228, -0.38969036075415203, -0.26480332671266527, 0.11605613560348914, 0.10346828899359156, 0.10734420142185395, -0.07476853230679974, -0.24856184130066294, 0.042271309022506115, -0.14608123767297734, -0.18490877440224984, -0.02433957133148874, 0.04378993245187725, -0.06541667259504082, -0.20459323238519675, 0.08182609178967136, 0.1017675955100654, -0.006491443687710314, -0.10952947615807906, -0.039326164363986345, -0.040938694490562325, 0.10624178517249655, 0.12645182787062528, 0.022624539547131617, 0.1162859557218366, -0.056418787436614465, -0.06591716112610138, 0.3614321079269793, -0.09511269205532845, -0.252483031419183, 0.1328862100667243, -0.13952200629784423, -0.10182129715450973, 0.08084136879557836, 0.1850861622347337, 0.1991567327692405, -0.180769140572282, 0.1456794751803545, -0.05427758085531136, 0.09680274298005527, 0.0910765256535568, -0.004332197243823716, 0.24567301058369942, 0.11875136867834471, 0.11216806759285992, 0.15579472058671345, -0.047778377962911, -0.12076381444725214, -0.3576350666335604, -0.22021216144579467, -0.16253782936934, 0.16469023990552892, -0.16022082717128636, -0.17733866614238128, 0.3793582201456826, 0.04545097083923567, 0.16827682746080322, 0.10766455976264191, 0.2534061845247917, 0.08225951510687675, 0.013301790769093604, 0.1473364277166515, 0.2679414576985899, 0.17378766543118704, 0.12117333083994974, -0.2096647769926651, -0.04474895866716394, 0.1183805976279121] |
711.0431 | Bose-Fermi Equivalence in Three Dimensional Non-commutative Space-Time | We study the Fermionisation of Seiberg-Witten mapped action (to order
$\theta$) of the $\lambda\phi^{4}$ theory coupled minimally with U(1) gauge
field governed by Chern-Simon action. Starting from the corresponding partition
function we derive non-perturbatively (in coupling constant) the partition
function of the spin 1/2 theory following Polyakov spin factor formalism. We
find the dual interacting fermionic theory is non local. This feature persist
also in the limit of vanishing self coupling. In $\theta\to 0$ limit, the
commutative result is regained.
| hep-th | we study the fermionisation of seibergwitten mapped action to order theta of the lambdaphi4 theory coupled minimally with u1 gauge field governed by chernsimon action starting from the corresponding partition function we derive nonperturbatively in coupling constant the partition function of the spin 12 theory following polyakov spin factor formalism we find the dual interacting fermionic theory is non local this feature persist also in the limit of vanishing self coupling in thetato 0 limit the commutative result is regained | [['we', 'study', 'the', 'fermionisation', 'of', 'seibergwitten', 'mapped', 'action', 'to', 'order', 'theta', 'of', 'the', 'lambdaphi4', 'theory', 'coupled', 'minimally', 'with', 'u1', 'gauge', 'field', 'governed', 'by', 'chernsimon', 'action', 'starting', 'from', 'the', 'corresponding', 'partition', 'function', 'we', 'derive', 'nonperturbatively', 'in', 'coupling', 'constant', 'the', 'partition', 'function', 'of', 'the', 'spin', '12', 'theory', 'following', 'polyakov', 'spin', 'factor', 'formalism', 'we', 'find', 'the', 'dual', 'interacting', 'fermionic', 'theory', 'is', 'non', 'local', 'this', 'feature', 'persist', 'also', 'in', 'the', 'limit', 'of', 'vanishing', 'self', 'coupling', 'in', 'thetato', '0', 'limit', 'the', 'commutative', 'result', 'is', 'regained']] | [-0.18361478394363076, 0.21115561688347953, -0.07642697223927826, 0.04552289947896497, -0.029351562407100573, -0.15632551980088466, -0.0044264734533498995, 0.2880225955392234, -0.2410096794454148, -0.24673036010353827, 0.001506665903434623, -0.2705917924642563, -0.16001628794474526, 0.04868557546578813, 0.017665092821698637, -0.005716614777338691, -0.06059343232191168, 0.0967083735158667, -0.11646624731365592, -0.2513817799394019, 0.32571502166683786, -0.024182475063571473, 0.24953207126818597, 0.057460370496846734, 0.10102166276774369, 0.05733570567845163, 0.010032830847194418, 0.02037911957013421, -0.13887933959485962, 0.04877779382513836, 0.20688798176124693, -0.012078952847514302, 0.1660563002806157, -0.4003720523789525, -0.17557626620400696, 0.09802207769098459, 0.1409671211556997, 0.12383148354711011, 0.02500767464225646, -0.2699774658773094, 0.021240332280285656, -0.21189673404733184, -0.2168259134356049, -0.07995281069888734, -0.030569364990515168, -0.08593362437386531, -0.28066949448548256, 0.10618970611503756, 0.025465483916923402, 0.05213435856858269, -0.08287794736315846, -0.04849917630199343, -0.060749266511993485, 0.09163604424684309, 0.11094358144327998, 0.1481605894950917, 0.1399851208378095, -0.21347852518374566, -0.08009797498234547, 0.3419620438478887, -0.17831409537029685, -0.24307040630665142, 0.10285181365907192, -0.1624250649860187, -0.16732083295937628, 0.09853191945003345, 0.06596178840554785, 0.16886122098076156, -0.141390396526549, 0.26063772462075574, -0.056146592379082, 0.12821735523175448, 0.07458735862746835, 0.028402112163894343, 0.24346983441500925, 0.08760580263915471, 0.038837500259978695, 0.1625846455746796, 0.015008197270799429, -0.2013935664857854, -0.35355840157717466, -0.09030584284887481, -0.15842154584242962, 0.1901278404868208, -0.15863996203406713, -0.15844820106867702, 0.37385304786730555, 0.1665756564179901, 0.1425672100740485, 0.08547011372575071, 0.16877567800693213, 0.21979529149612062, 0.058800286662881264, 0.026663618109887467, 0.2449889170966344, 0.23086102002707776, 0.01595526753808372, -0.2891943595808698, -0.1505863015423529, 0.2084247480845079] |
711.0432 | Radiative charmless B_{(s)}\to V \gamma and B_{(s)}\to A \gamma decays
in pQCD approach | We study the radiative charmless $B_{(s)}\to V(A)\gamma $ decays in
perturbative QCD (pQCD) approach to the leading order in $\alpha_s$ (here $V$
and $A$ denotes vector mesons and two kinds of axial-vector mesons: $^3P_1$ and
$^1P_1$ states, respectively.). Our predictions of branching ratios are
consistent with the current available experimental data. We update all
$B_{(s)}\to V$ form factors and give the predictions for $B\to A$ form factors
using the recent hadronic inputs. In addition to the dominant factorizable
spectator diagrams, which is form factor like, we also calculate the so-called
``power suppressed'' annihilation type diagrams, the gluonic penguin, charming
penguin, and two photon diagrams. These diagrams give the main contributions to
direct CP asymmetries, mixing-induced CP asymmetry variables, the isospin
asymmetry and U-spin asymmetry variables. Unlike the branching ratios, these
ratios or observables possess higher theoretical precision in our pQCD
calculation, since they do not depend on the input hadronic parameters too
much. Most of the results still need experimental tests in the on-going and
forthcoming experiments.
| hep-ph hep-ex | we study the radiative charmless b_sto vagamma decays in perturbative qcd pqcd approach to the leading order in alpha_s here v and a denotes vector mesons and two kinds of axialvector mesons 3p_1 and 1p_1 states respectively our predictions of branching ratios are consistent with the current available experimental data we update all b_sto v form factors and give the predictions for bto a form factors using the recent hadronic inputs in addition to the dominant factorizable spectator diagrams which is form factor like we also calculate the socalled power suppressed annihilation type diagrams the gluonic penguin charming penguin and two photon diagrams these diagrams give the main contributions to direct cp asymmetries mixinginduced cp asymmetry variables the isospin asymmetry and uspin asymmetry variables unlike the branching ratios these ratios or observables possess higher theoretical precision in our pqcd calculation since they do not depend on the input hadronic parameters too much most of the results still need experimental tests in the ongoing and forthcoming experiments | [['we', 'study', 'the', 'radiative', 'charmless', 'b_sto', 'vagamma', 'decays', 'in', 'perturbative', 'qcd', 'pqcd', 'approach', 'to', 'the', 'leading', 'order', 'in', 'alpha_s', 'here', 'v', 'and', 'a', 'denotes', 'vector', 'mesons', 'and', 'two', 'kinds', 'of', 'axialvector', 'mesons', '3p_1', 'and', '1p_1', 'states', 'respectively', 'our', 'predictions', 'of', 'branching', 'ratios', 'are', 'consistent', 'with', 'the', 'current', 'available', 'experimental', 'data', 'we', 'update', 'all', 'b_sto', 'v', 'form', 'factors', 'and', 'give', 'the', 'predictions', 'for', 'bto', 'a', 'form', 'factors', 'using', 'the', 'recent', 'hadronic', 'inputs', 'in', 'addition', 'to', 'the', 'dominant', 'factorizable', 'spectator', 'diagrams', 'which', 'is', 'form', 'factor', 'like', 'we', 'also', 'calculate', 'the', 'socalled', 'power', 'suppressed', 'annihilation', 'type', 'diagrams', 'the', 'gluonic', 'penguin', 'charming', 'penguin', 'and', 'two', 'photon', 'diagrams', 'these', 'diagrams', 'give', 'the', 'main', 'contributions', 'to', 'direct', 'cp', 'asymmetries', 'mixinginduced', 'cp', 'asymmetry', 'variables', 'the', 'isospin', 'asymmetry', 'and', 'uspin', 'asymmetry', 'variables', 'unlike', 'the', 'branching', 'ratios', 'these', 'ratios', 'or', 'observables', 'possess', 'higher', 'theoretical', 'precision', 'in', 'our', 'pqcd', 'calculation', 'since', 'they', 'do', 'not', 'depend', 'on', 'the', 'input', 'hadronic', 'parameters', 'too', 'much', 'most', 'of', 'the', 'results', 'still', 'need', 'experimental', 'tests', 'in', 'the', 'ongoing', 'and', 'forthcoming', 'experiments']] | [-0.10438240447265068, 0.24421501810747115, -0.05785348495524941, 0.13396201964933424, -0.09869240371679718, -0.09610029043432212, 0.10094939850510634, 0.3330340973242666, -0.18578563035451667, -0.1979277363554998, -0.01880449232518334, -0.3388334969284408, -0.028081230443874092, 0.10343005340475815, 0.08692704312446894, 0.07431909276355961, 0.09105918968279818, -0.023814452665321756, -0.06900156852718668, -0.20454288864451828, 0.2780946432528171, -0.05060873855554471, 0.21405520115989599, 0.13205128723303927, -0.0695083002355232, -0.043373274183690996, -0.11548755137306271, -0.04701696176815665, -0.15414080825126306, 0.04366044925497563, 0.24155183251185172, 0.10335250210588459, 0.05878083414087693, -0.37987946094662856, -0.04169444488925916, 0.17362363274971193, 0.18369166506736567, 0.0960189084966921, 0.011849676537553243, -0.3213295965088588, 0.06680440533003121, -0.1974366993220015, -0.04153260969077096, -0.18083920612592588, 0.026193644171298453, -0.06972815278550666, -0.3823980138100909, 0.0946384477427328, -0.051910435402709426, -0.0020263778356214364, 0.03023317143970141, -0.2921717444462984, -0.00850158139188407, 0.06410909280547816, 0.11099770788639558, 0.08092411951952135, 0.17143273468157558, -0.19337081980298865, -0.1975341284647584, 0.42071555040099406, -0.06751847923839126, -0.1867668222988758, 0.10032533427742733, -0.21314974028165593, -0.19819597891729437, 0.1196981183436671, 0.18161844863894988, 0.0677757799045084, -0.13835362949493257, 0.09039998942118307, 0.01079127566155159, 0.15388260586469463, 0.05898482461008384, 0.11551453378333738, 0.15482924501834947, 0.1134424606168812, -0.09000712999805921, 0.037843097911470315, -0.04470252720780219, -0.10117394390628871, -0.4193320368727048, -0.0833564536533121, -0.03586843662937595, 0.05910840130589239, -0.11688318934818998, -0.10512503086391724, 0.3585248828258817, 0.10683808228226774, 0.26117492903404954, 0.025488096290042228, 0.3742326325765162, 0.11061766112759483, 0.07572658905815897, 0.06002472915940664, 0.32593574262591024, 0.21899315400444197, 0.13212242903413646, -0.2978066682222892, 0.09947814747495365, 0.04882829125095723] |
711.0433 | Automatic analysis of Swift-XRT data | The Swift spacecraft detects and autonomously observes ~100 Gamma Ray Bursts
(GRBs) per year, ~96% of which are detected by the X-ray telescope (XRT). GRBs
are accompanied by optical transients and the field of ground-based follow-up
of GRBs has expanded significantly over the last few years, with rapid response
instruments capable of responding to Swift triggers on timescales of minutes.
To make the most efficient use of limited telescope time, follow-up astronomers
need accurate positions of GRBs as soon as possible after the trigger.
Additionally, information such as the X-ray light curve, is of interest when
considering observing strategy. The Swift team at Leicester University have
developed techniques to improve the accuracy of the GRB positions available
from the XRT, and to produce science-grade X-ray light curves of GRBs. These
techniques are fully automated, and are executed as soon as data are available.
| astro-ph | the swift spacecraft detects and autonomously observes 100 gamma ray bursts grbs per year 96 of which are detected by the xray telescope xrt grbs are accompanied by optical transients and the field of groundbased followup of grbs has expanded significantly over the last few years with rapid response instruments capable of responding to swift triggers on timescales of minutes to make the most efficient use of limited telescope time followup astronomers need accurate positions of grbs as soon as possible after the trigger additionally information such as the xray light curve is of interest when considering observing strategy the swift team at leicester university have developed techniques to improve the accuracy of the grb positions available from the xrt and to produce sciencegrade xray light curves of grbs these techniques are fully automated and are executed as soon as data are available | [['the', 'swift', 'spacecraft', 'detects', 'and', 'autonomously', 'observes', '100', 'gamma', 'ray', 'bursts', 'grbs', 'per', 'year', '96', 'of', 'which', 'are', 'detected', 'by', 'the', 'xray', 'telescope', 'xrt', 'grbs', 'are', 'accompanied', 'by', 'optical', 'transients', 'and', 'the', 'field', 'of', 'groundbased', 'followup', 'of', 'grbs', 'has', 'expanded', 'significantly', 'over', 'the', 'last', 'few', 'years', 'with', 'rapid', 'response', 'instruments', 'capable', 'of', 'responding', 'to', 'swift', 'triggers', 'on', 'timescales', 'of', 'minutes', 'to', 'make', 'the', 'most', 'efficient', 'use', 'of', 'limited', 'telescope', 'time', 'followup', 'astronomers', 'need', 'accurate', 'positions', 'of', 'grbs', 'as', 'soon', 'as', 'possible', 'after', 'the', 'trigger', 'additionally', 'information', 'such', 'as', 'the', 'xray', 'light', 'curve', 'is', 'of', 'interest', 'when', 'considering', 'observing', 'strategy', 'the', 'swift', 'team', 'at', 'leicester', 'university', 'have', 'developed', 'techniques', 'to', 'improve', 'the', 'accuracy', 'of', 'the', 'grb', 'positions', 'available', 'from', 'the', 'xrt', 'and', 'to', 'produce', 'sciencegrade', 'xray', 'light', 'curves', 'of', 'grbs', 'these', 'techniques', 'are', 'fully', 'automated', 'and', 'are', 'executed', 'as', 'soon', 'as', 'data', 'are', 'available']] | [-0.04632963644588119, 0.1793269439782765, -0.04698184707000122, 0.10620493866858183, -0.16697398478725364, -0.14231378571016362, 0.08161312631507228, 0.4856713222326724, -0.17797724629827236, -0.40294046120366434, 0.12828876231829603, -0.36944332329387014, -0.027333746266948594, 0.3348294081283616, -0.040108320306517654, 0.05331021039079145, 0.16633222666992384, -0.0643854869653347, -0.035303215405470656, -0.34370857273990457, 0.1877165224168684, 0.17677106285448205, 0.1863034430399156, -0.06551555982120075, 0.12465408903715963, 0.019436284430793947, -0.12207477258101522, -0.054587719577748876, -0.047672556679031544, 0.03856663942382625, 0.3126487023867927, 0.18647256291998954, 0.24334548559639005, -0.4327163902352323, -0.24003282393869405, 0.07258393732062378, 0.10649863081834429, -0.02400788564277305, 0.01425033440679911, -0.33652078409164726, 0.027999195865342406, -0.19667095538567414, -0.16840645142707167, -0.019336400850728103, 0.04912925949987754, 0.12044296057412883, -0.13659220410370873, 0.039357178857537, -0.06707924523169397, 0.08539057361496079, -0.10171783781183845, 0.017448778340545763, 0.00365186512300914, 0.13766250407288236, 0.0897683087586575, 0.0891556848692089, 0.11554511582114167, -0.10502919532567054, -0.096591389438437, 0.37700461133194346, -0.02173898663612773, 0.0905029914061819, 0.1518220967878555, -0.1575199862961638, -0.17341481748043552, 0.21944041140996232, 0.15332397783681476, 0.10932081397557697, -0.1782473342781569, -0.015436721250896792, 0.06086710909498738, 0.21054903506073397, 0.06259305565780797, 0.08537912226145293, 0.2626748429155433, 0.15429304664143706, 0.030534390768791726, 0.0954041132236134, -0.26504984371839546, 0.06323203960900892, -0.2699009188275029, -0.08195682472483844, -0.15633344492008844, 0.08362139486610055, -0.019902726406983744, -0.08750411726931644, 0.4135553333354736, 0.11508043207736178, 0.13638841553259043, 0.03618645984793434, 0.308324950590886, 0.02852560545340623, 0.11816930183098762, 0.08341522415663552, 0.3429790262761363, 0.014903595231447395, 0.15642414394346021, -0.13661652774439303, 0.10426563294352052, 0.015507358331493772] |
711.0434 | Non-adic formal schemes | Our purpose is to make a contribution to the foundation of the theory of
formal scheme. We are interested particularly in non-Noetherian or non-adic
formal schemes, which have been little studied. We redefine the formal scheme
as a proringed space and study its basic properties. We also find several
examples of non-adic formal schemes.
| math.AG | our purpose is to make a contribution to the foundation of the theory of formal scheme we are interested particularly in nonnoetherian or nonadic formal schemes which have been little studied we redefine the formal scheme as a proringed space and study its basic properties we also find several examples of nonadic formal schemes | [['our', 'purpose', 'is', 'to', 'make', 'a', 'contribution', 'to', 'the', 'foundation', 'of', 'the', 'theory', 'of', 'formal', 'scheme', 'we', 'are', 'interested', 'particularly', 'in', 'nonnoetherian', 'or', 'nonadic', 'formal', 'schemes', 'which', 'have', 'been', 'little', 'studied', 'we', 'redefine', 'the', 'formal', 'scheme', 'as', 'a', 'proringed', 'space', 'and', 'study', 'its', 'basic', 'properties', 'we', 'also', 'find', 'several', 'examples', 'of', 'nonadic', 'formal', 'schemes']] | [-0.13653075877348628, -0.030064557722927827, -0.12782064936000784, 0.1162389089410492, -0.1153170117440651, -0.1176510172860943, 0.043651318588329234, 0.4129945870207728, -0.2728280670378568, -0.2276473597113816, 0.12985628697239213, -0.2088672041866647, -0.19217579017112138, 0.2319346945337459, -0.10694126602051393, 0.04464361213810988, -0.03334540866737096, 0.04774291680704029, -0.09254638286623752, -0.2664555491844438, 0.3497857153503541, 0.049874920925160625, 0.2821046277784022, 0.06134503798664741, 0.08805584553453438, -0.06008972632610854, -0.09898096433717687, 0.022834870937381395, -0.17784759686943494, 0.13383634104657005, 0.3021797784164829, 0.13025723358633806, 0.3358602688278792, -0.4167529056727324, -0.19129183415745227, 0.08528364568351293, 0.1152466438482252, 0.14565985487227082, -0.03839708932341551, -0.21542911319378413, 0.15168167956454573, -0.2639618202833072, -0.13948074183953962, -0.1495876542099242, 0.0059965021539268625, 0.030747157112994004, -0.1833786037311239, -0.04664848623237186, 0.10392869432579796, 0.12411867203366644, -0.004378153039757514, -0.07584669200246627, 0.033037250242108164, 0.12944319911459284, 0.049609180131294534, -0.031010939295948396, 0.05692105889671816, -0.08247001161623113, -0.1267961162792624, 0.41416578789083464, -0.017307697927122407, -0.21930745532209017, 0.18952259802663662, -0.08260602768036132, -0.20714731401113687, 0.0416856016348696, 0.1419167780440371, 0.16979916000141287, -0.11600496663870115, 0.12906047364341025, -0.037810021167937316, 0.1315115136885137, -0.010616138322665444, 0.09590269108566474, 0.12305430459948082, 0.1565657368035249, 0.011424757795021782, 0.11569778496434666, 0.005262502170396301, -0.12585285771638155, -0.3138208994817621, -0.19985117378890654, -0.0794845886247338, -0.00019293717758835487, 0.00028124972678202575, -0.1523412777778675, 0.37019631189757074, 0.14425334636614007, 0.16877213763600252, 0.04063053923123077, 0.31652656450586497, 0.10025239708495133, 0.02088749079244598, 0.020812523489782832, 0.2172172618502716, 0.16648596623596154, 0.083976731758635, -0.11437967862332028, 0.024787697774129657, 0.09981610343071087] |
711.0435 | Bayesian approach for g-mode detection, or how to restrict our
imagination | Nowadays, g-mode detection is based upon a priori theoretical knowledge. By
doing so, detection becomes more restricted to what we can imagine. De facto,
the universe of possibilities is made narrower. Such an approach is pertinent
for Bayesian statisticians. Examples of how Bayesian inferences can be applied
to spectral analysis and helioseismic power spectra are given. Our intention is
not to give the full statistical framework (much too ambitious) but to provide
an appetizer for going further in the direction of a proper Bayesian inference,
especially for detecting gravity modes.
| astro-ph | nowadays gmode detection is based upon a priori theoretical knowledge by doing so detection becomes more restricted to what we can imagine de facto the universe of possibilities is made narrower such an approach is pertinent for bayesian statisticians examples of how bayesian inferences can be applied to spectral analysis and helioseismic power spectra are given our intention is not to give the full statistical framework much too ambitious but to provide an appetizer for going further in the direction of a proper bayesian inference especially for detecting gravity modes | [['nowadays', 'gmode', 'detection', 'is', 'based', 'upon', 'a', 'priori', 'theoretical', 'knowledge', 'by', 'doing', 'so', 'detection', 'becomes', 'more', 'restricted', 'to', 'what', 'we', 'can', 'imagine', 'de', 'facto', 'the', 'universe', 'of', 'possibilities', 'is', 'made', 'narrower', 'such', 'an', 'approach', 'is', 'pertinent', 'for', 'bayesian', 'statisticians', 'examples', 'of', 'how', 'bayesian', 'inferences', 'can', 'be', 'applied', 'to', 'spectral', 'analysis', 'and', 'helioseismic', 'power', 'spectra', 'are', 'given', 'our', 'intention', 'is', 'not', 'to', 'give', 'the', 'full', 'statistical', 'framework', 'much', 'too', 'ambitious', 'but', 'to', 'provide', 'an', 'appetizer', 'for', 'going', 'further', 'in', 'the', 'direction', 'of', 'a', 'proper', 'bayesian', 'inference', 'especially', 'for', 'detecting', 'gravity', 'modes']] | [-0.029493947255994298, 0.08781239748188657, -0.13106560877317355, 0.13576041329652072, -0.21523546920313189, -0.14716026943383945, 0.03404597527244025, 0.39953758840759596, -0.23206695496208138, -0.3217446440313425, 0.10650559039139706, -0.23813030744592348, -0.10811536873742524, 0.2311081619312366, -0.0983040371702777, 0.04974316021091201, 0.0802983765076432, 0.04767779015399153, -0.03209598863807817, -0.20895539020809034, 0.2717244168950452, 0.14583632173016667, 0.2848852152211799, -0.004725155588756833, 0.008632382972993784, -0.021027287959845528, -0.058848650781955156, 0.020253295197875963, -0.1424178634563254, 0.13371850095378857, 0.32101110397941535, 0.23594705128214424, 0.33210475407540796, -0.42003923244774344, -0.23275516176492803, 0.11966370249994927, 0.2164398370621105, 0.15218630973767075, -0.025655820865682067, -0.3084719398835053, 0.07743704695280434, -0.15479650301858783, -0.09936341230996833, -0.159339145410599, 0.0090304085596775, -0.08073658864531252, -0.25984853128902613, 0.034036277203510205, 0.05150720360171464, 0.08599928272370663, 0.0006871008029621508, -0.10503194330570599, 0.019716188919523522, 0.11669200868863198, 0.05762688012069298, 0.0029853736102167104, 0.09914768205748664, -0.1228957147259886, -0.09542417021002621, 0.39526044032536445, -0.03194431230399965, -0.20790235501869272, 0.1516656169357399, -0.08511884873215524, -0.16776810654749472, 0.10812358462199982, 0.12239027354452345, 0.1411729317986303, -0.16097209972018997, 0.05789018527850405, 0.010911786328587266, 0.1925492980103526, 0.023716968916253082, -0.021654995939590863, 0.2573222239120191, 0.2010974978407224, 0.0851770419575688, 0.0681622702563699, -0.09646355900913477, -0.0775847194599919, -0.25514818424772884, -0.12768799404924114, -0.1643608782880215, 0.04198234836043816, -0.04862399375463913, -0.17237872944937813, 0.3591101972386241, 0.21881838000069062, 0.13703684785351572, 0.05310870865359903, 0.32919913118498195, 0.1028989336725014, 0.04021185154302253, 0.054999667274144785, 0.29536652250422374, 0.13022032156845348, 0.09437063564805107, -0.10418118587695062, 0.08990161697794166, -0.02242728646637665] |
711.0436 | An example of algebraization of analysis and Fibonacci cobweb poset
characterization | In recent Kwasniewski's papers inspired by O. V. Viskov it was shown that the
$\psi$-calculus in parts appears to be almost automatic, natural extension of
classical operator calculus of Rota - Mullin or equivalently - of umbral
calculus of Roman and Rota. At the same time this calculus is an example of the
algebraization of the analysis - here restricted to the algebra of polynomials.
The first part of the article is the review of the recent author's
contribution. The main definitions and theorems of Finite Fibonomial
Operator Calculus which is a special case of $\psi$-extented Rota's finite
operator calculus are presented there. In the second part the characterization
of Fibonacci Cobweb poset P as DAG and oDAG is given. The dim 2 poset such that
its Hasse diagram coincide with digraf of P is constructed.
| math.CO cs.DM math.GM | in recent kwasniewskis papers inspired by o v viskov it was shown that the psicalculus in parts appears to be almost automatic natural extension of classical operator calculus of rota mullin or equivalently of umbral calculus of roman and rota at the same time this calculus is an example of the algebraization of the analysis here restricted to the algebra of polynomials the first part of the article is the review of the recent authors contribution the main definitions and theorems of finite fibonomial operator calculus which is a special case of psiextented rotas finite operator calculus are presented there in the second part the characterization of fibonacci cobweb poset p as dag and odag is given the dim 2 poset such that its hasse diagram coincide with digraf of p is constructed | [['in', 'recent', 'kwasniewskis', 'papers', 'inspired', 'by', 'o', 'v', 'viskov', 'it', 'was', 'shown', 'that', 'the', 'psicalculus', 'in', 'parts', 'appears', 'to', 'be', 'almost', 'automatic', 'natural', 'extension', 'of', 'classical', 'operator', 'calculus', 'of', 'rota', 'mullin', 'or', 'equivalently', 'of', 'umbral', 'calculus', 'of', 'roman', 'and', 'rota', 'at', 'the', 'same', 'time', 'this', 'calculus', 'is', 'an', 'example', 'of', 'the', 'algebraization', 'of', 'the', 'analysis', 'here', 'restricted', 'to', 'the', 'algebra', 'of', 'polynomials', 'the', 'first', 'part', 'of', 'the', 'article', 'is', 'the', 'review', 'of', 'the', 'recent', 'authors', 'contribution', 'the', 'main', 'definitions', 'and', 'theorems', 'of', 'finite', 'fibonomial', 'operator', 'calculus', 'which', 'is', 'a', 'special', 'case', 'of', 'psiextented', 'rotas', 'finite', 'operator', 'calculus', 'are', 'presented', 'there', 'in', 'the', 'second', 'part', 'the', 'characterization', 'of', 'fibonacci', 'cobweb', 'poset', 'p', 'as', 'dag', 'and', 'odag', 'is', 'given', 'the', 'dim', '2', 'poset', 'such', 'that', 'its', 'hasse', 'diagram', 'coincide', 'with', 'digraf', 'of', 'p', 'is', 'constructed']] | [-0.12059161110236057, 0.07268113783723584, -0.09409037188901169, 0.06557191534386586, -0.12178889908936134, -0.08863398984305618, -0.0027988885652071747, 0.2966165824165178, -0.33622389197234037, -0.24252120292810506, 0.11815092272789383, -0.279671643133268, -0.1707766584423912, 0.14830853548731163, -0.14607157326274545, -0.004406900946935278, 0.04539433118477536, 0.11655398600106669, -0.0434806491338554, -0.2609092168547863, 0.3514400323376406, 0.007147863689564573, 0.18045715010696084, 0.04825975801980722, 0.06789971803957524, 0.025227099628180497, -0.09426376941593999, -6.170755941709576e-05, -0.13250332177752475, 0.1283718162512248, 0.2791766211924742, 0.1382670392672163, 0.2621024029506298, -0.3768395536882413, -0.09583647211277208, 0.13056933910535404, 0.12147331839362376, 0.02083230205150971, 0.0194859201586697, -0.26881185135634456, 0.09899640046493259, -0.18029895680776054, -0.1427371522137361, 0.0034318058863200985, 0.11410967578349794, 0.018775323026835225, -0.2096605152252686, 0.010597015066837618, 0.1680644403623287, 0.1285598374029636, -0.030601919943632833, -0.1567492725277074, -0.025099468739638323, 0.06141989690598187, -0.0013930560721358818, 0.06443148041902066, 0.03132116082738074, -0.05562790258166691, -0.1736423435418816, 0.3387246978967342, -0.022381867737375747, -0.16550474148965622, 0.09939270159374028, -0.16391850203318997, -0.19289076818124384, 0.08020082940690422, 0.037076426265660184, 0.16667213270173575, -0.08283328397791515, 0.1911451252553677, -0.10847437387520029, 0.08466731974414672, 0.13067986617269095, -0.017492050644327965, 0.08747055191887802, 0.13168870597850357, 0.02652637640108145, 0.14997884773291909, 0.004991111872616664, -0.08667906297211961, -0.3653177376114583, -0.19948562594895908, -0.18674975210555303, 0.028109215126849364, -0.0648391482294149, -0.2056745218639641, 0.38540605426758756, 0.1073506878947933, 0.1327542195713884, 0.06065933020197057, 0.23859341761689315, 0.1642110598090379, 0.08557834208387044, 0.016970725720134642, 0.13461566316830212, 0.24040699255825995, 0.1070819075775239, -0.14217281473557783, 0.05623331524669951, 0.19421076088739458] |
711.0437 | VLTI/MIDI 10 micron interferometry of the forming massive star W33A | We report on resolved interferometric observations with VLTI/MIDI of the
massive young stellar object (MYSO) W33A. The MIDI observations deliver
spectrally dispersed visibilities with values between 0.03 and 0.06, for a
baseline of 45m over the wavelength range 8-13 micron. The visibilities
indicate that W33A has a FWHM size of approximately 120AU (0.030'') at 8 micron
which increases to 240AU at 13 micron, scales previously unexplored among
MYSOs. This observed trend is consistent with the temperature falling off with
distance. 1D dust radiative transfer models are simultaneously fit to the
visibility spectrum, the strong silicate feature and the shape of the mid
infrared spectral energy distribution (SED). For any powerlaw density
distribution, we find that the sizes (as implied by the visibilities) and the
stellar luminosity are incompatible. A reduction to a third of W33A's
previously adopted luminosity is required to match the visibilities; such a
reduction is consistent with new high resolution 70 micron data from Spitzer's
MIPSGAL survey. We obtain best fits for models with shallow dust density
distributions of r^(-0.5) and r^(-1.0) and for increased optical depth in the
silicate feature produced by decreasing the ISM ratio of graphite to silicates
and using optical grain properties by Ossenkopf et al. (1992).
| astro-ph | we report on resolved interferometric observations with vltimidi of the massive young stellar object myso w33a the midi observations deliver spectrally dispersed visibilities with values between 003 and 006 for a baseline of 45m over the wavelength range 813 micron the visibilities indicate that w33a has a fwhm size of approximately 120au 0030 at 8 micron which increases to 240au at 13 micron scales previously unexplored among mysos this observed trend is consistent with the temperature falling off with distance 1d dust radiative transfer models are simultaneously fit to the visibility spectrum the strong silicate feature and the shape of the mid infrared spectral energy distribution sed for any powerlaw density distribution we find that the sizes as implied by the visibilities and the stellar luminosity are incompatible a reduction to a third of w33as previously adopted luminosity is required to match the visibilities such a reduction is consistent with new high resolution 70 micron data from spitzers mipsgal survey we obtain best fits for models with shallow dust density distributions of r05 and r10 and for increased optical depth in the silicate feature produced by decreasing the ism ratio of graphite to silicates and using optical grain properties by ossenkopf et al 1992 | [['we', 'report', 'on', 'resolved', 'interferometric', 'observations', 'with', 'vltimidi', 'of', 'the', 'massive', 'young', 'stellar', 'object', 'myso', 'w33a', 'the', 'midi', 'observations', 'deliver', 'spectrally', 'dispersed', 'visibilities', 'with', 'values', 'between', '003', 'and', '006', 'for', 'a', 'baseline', 'of', '45m', 'over', 'the', 'wavelength', 'range', '813', 'micron', 'the', 'visibilities', 'indicate', 'that', 'w33a', 'has', 'a', 'fwhm', 'size', 'of', 'approximately', '120au', '0030', 'at', '8', 'micron', 'which', 'increases', 'to', '240au', 'at', '13', 'micron', 'scales', 'previously', 'unexplored', 'among', 'mysos', 'this', 'observed', 'trend', 'is', 'consistent', 'with', 'the', 'temperature', 'falling', 'off', 'with', 'distance', '1d', 'dust', 'radiative', 'transfer', 'models', 'are', 'simultaneously', 'fit', 'to', 'the', 'visibility', 'spectrum', 'the', 'strong', 'silicate', 'feature', 'and', 'the', 'shape', 'of', 'the', 'mid', 'infrared', 'spectral', 'energy', 'distribution', 'sed', 'for', 'any', 'powerlaw', 'density', 'distribution', 'we', 'find', 'that', 'the', 'sizes', 'as', 'implied', 'by', 'the', 'visibilities', 'and', 'the', 'stellar', 'luminosity', 'are', 'incompatible', 'a', 'reduction', 'to', 'a', 'third', 'of', 'w33as', 'previously', 'adopted', 'luminosity', 'is', 'required', 'to', 'match', 'the', 'visibilities', 'such', 'a', 'reduction', 'is', 'consistent', 'with', 'new', 'high', 'resolution', '70', 'micron', 'data', 'from', 'spitzers', 'mipsgal', 'survey', 'we', 'obtain', 'best', 'fits', 'for', 'models', 'with', 'shallow', 'dust', 'density', 'distributions', 'of', 'r05', 'and', 'r10', 'and', 'for', 'increased', 'optical', 'depth', 'in', 'the', 'silicate', 'feature', 'produced', 'by', 'decreasing', 'the', 'ism', 'ratio', 'of', 'graphite', 'to', 'silicates', 'and', 'using', 'optical', 'grain', 'properties', 'by', 'ossenkopf', 'et', 'al', '1992']] | [0.007023982303436052, 0.09808738137327946, -0.07871608178610776, 0.051108605382240165, -0.03678715240675956, -0.1028648769681222, 0.017146417926443686, 0.47807344724193657, -0.1810377189188753, -0.3979645802934497, 0.057571309170279986, -0.28958338221516644, 0.011746669135120983, 0.14860939014372232, -0.054422669089629803, 0.028132982844314515, 0.03279988365224793, -0.18018793965238009, -0.04127089082871997, -0.19600515273090746, 0.2562142231347187, 0.1317259905142894, 0.20383179767315487, -0.008268625719823165, 0.06265324473180485, -0.0947910328376034, -0.09803742073974249, -0.026423239296689483, -0.15757124970177486, 0.08575366563302013, 0.23367580465240073, 0.07336422154855093, 0.1366268070431952, -0.3129088142172129, -0.22764248309638535, 0.05529334409494359, 0.1382742043944637, 0.008439511873893035, 0.026120860105389637, -0.23101769168146583, 0.058834603766329804, -0.15487528615400636, -0.16517530629033278, 0.05616270055035406, 0.08478348655049864, 0.020215280499253974, -0.2885180138452624, 0.14258655716808014, -0.018264500491982694, 0.12755908384010897, -0.12580604743359997, -0.18290667104984906, -0.09120657874759988, 0.06099889858044905, -0.05528689437375247, 0.07055755585344453, 0.1282425029940977, -0.12691877835711446, -0.023230480289520086, 0.3532683561823451, -0.13657181014250364, -0.0019533419462916726, 0.2188752176560517, -0.20196585962318325, -0.1086248732709365, 0.2347182065558546, 0.10433196533807913, 0.08678150604165501, -0.1251955617168494, -0.0002536032444539268, -0.05377029018167701, 0.3001856782432129, 0.1037631657286916, 0.09929489333523751, 0.3168067280018684, 0.1378864952718083, 0.00022341284352253273, 0.11175790539306432, -0.2908543684718079, -0.03172184799775933, -0.23662420171820145, -0.08630234221489823, -0.17806229159370812, 0.06501917120721652, -0.16589252256265596, -0.09722071659917214, 0.3022207998345597, 0.12522388718639602, 0.25853603095332583, 0.12707718743972646, 0.3180231515474913, 0.07554947879190768, 0.14361969123036591, 0.1187036339133646, 0.30195375897755644, 0.12883679386076177, 0.13748125089492388, -0.212153392295828, 0.045150564577762446, -0.0397627487545833] |
711.0438 | Terahertz detection with delta-doped GaAs/AlAs multiple quantum wells | The authors demonstrate selective detection of terahertz radiation employing
beryllium delta-doped GaAs/AlAs multiple quantum wells. The sensitivity up to 1
V/W within 4.2-7.3 THz range at liquid helium temperatures is reached. The
Franz-Keldysh oscillations observed in photo- and electro-reflectance spectra
allowed one to estimate built-in electric fields in the structures studied. It
was found that the electric field strength in the cap layer region could vary
from 10 kV/cm up to 26 kV/cm, depending on the structure design and
temperature.
| cond-mat.mtrl-sci cond-mat.other | the authors demonstrate selective detection of terahertz radiation employing beryllium deltadoped gaasalas multiple quantum wells the sensitivity up to 1 vw within 4273 thz range at liquid helium temperatures is reached the franzkeldysh oscillations observed in photo and electroreflectance spectra allowed one to estimate builtin electric fields in the structures studied it was found that the electric field strength in the cap layer region could vary from 10 kvcm up to 26 kvcm depending on the structure design and temperature | [['the', 'authors', 'demonstrate', 'selective', 'detection', 'of', 'terahertz', 'radiation', 'employing', 'beryllium', 'deltadoped', 'gaasalas', 'multiple', 'quantum', 'wells', 'the', 'sensitivity', 'up', 'to', '1', 'vw', 'within', '4273', 'thz', 'range', 'at', 'liquid', 'helium', 'temperatures', 'is', 'reached', 'the', 'franzkeldysh', 'oscillations', 'observed', 'in', 'photo', 'and', 'electroreflectance', 'spectra', 'allowed', 'one', 'to', 'estimate', 'builtin', 'electric', 'fields', 'in', 'the', 'structures', 'studied', 'it', 'was', 'found', 'that', 'the', 'electric', 'field', 'strength', 'in', 'the', 'cap', 'layer', 'region', 'could', 'vary', 'from', '10', 'kvcm', 'up', 'to', '26', 'kvcm', 'depending', 'on', 'the', 'structure', 'design', 'and', 'temperature']] | [-0.10172684267163276, 0.2128611569700297, 0.018924506835173816, -0.01926504990988178, 0.010432261833921075, -0.13709781604120508, 0.0689679943578085, 0.4346238860860467, -0.250616644177353, -0.3833902516809758, -0.009267325593100395, -0.2715112807811238, -0.02927068828503252, 0.2230109797557816, 0.02703045625203231, -0.01660033281077631, -0.05138780793131446, -0.017766973833931842, -0.04493422709347215, -0.18484021205513274, 0.18873596810735763, 0.06336446463683387, 0.3238202100852504, 0.10347298591514117, 0.07921283697069156, -0.05094178824219853, 0.08298369310796261, -0.02500653686001897, -0.1307781205315223, -0.0018030347535386681, 0.26451161806471646, -0.06029249562416226, 0.203554614217137, -0.41237025235313923, -0.21682940272148699, 0.013910484352754793, 0.10340033244574443, 0.08701524281641468, -0.06122118873900036, -0.27406732382369225, 0.08557416654657572, -0.13444533015135676, -0.11166026284918189, -0.011592565313912928, 0.033648175701091534, 0.0004459916028281441, -0.26867451369544143, 0.023897202080115677, -0.03337740273855161, 0.07913190159015357, -0.10582064386690035, -0.15956254555494526, -0.010522223921725526, 0.04954410954378545, -0.013300991573487408, 0.0801287280221004, 0.2734611568972468, -0.1092349762097001, -0.07710086049046368, 0.3078103817766532, -0.11651090693194419, -0.03489706385298632, 0.1695521356741665, -0.22658284277422353, -0.02800108936498873, 0.22934361158113462, 0.14266107674338854, 0.11984497282537632, -0.1256665236905974, 0.07383455295785098, 0.05653291513444856, 0.22874835521215572, 0.18335550376214088, 0.0343584479240235, 0.23961626670788974, 0.15185183722060175, 0.005396051926072687, 0.10941650550230406, -0.20938811237283517, -0.01539000968914479, -0.2205354786310636, -0.09705479647382162, -0.13102960058895405, 0.08275390079361386, -0.04633556288863474, -0.12126364997238852, 0.42404300404014067, 0.18306860367301853, 0.11803667107596993, -0.08743676101148594, 0.25260053569218144, 0.10126636571949348, 0.115744954359252, 0.01906876577413641, 0.3427265709382482, 0.20954648888437077, 0.15868714682292193, -0.21250465527700726, -0.0052221802587155254, -0.06211665506707505] |
711.0439 | A new equation of state for dark energy | In the contemporary Cosmology, dark energy is modeled as a perfect fluid,
having a very simple equation of state: pressure is proportional to dark energy
density. As an alternative, I propose a more complex equation of state, with
pressure being function of three variables: dark energy density, matter density
and the size of the Universe. One consequence of the new equation is that, in
the late-time Universe, cosmological scale factor is linear function of time;
while the standard cosmology predicts an exponential function.The new equation
of state allows attributing a temperature to the physical vacuum, a temperature
proportional to the acceleration of the expansion of the Universe. The vacuum
temperature decreases with the expansion of the Universe, approaching (but
never reaching) the absolute zero.
| physics.gen-ph | in the contemporary cosmology dark energy is modeled as a perfect fluid having a very simple equation of state pressure is proportional to dark energy density as an alternative i propose a more complex equation of state with pressure being function of three variables dark energy density matter density and the size of the universe one consequence of the new equation is that in the latetime universe cosmological scale factor is linear function of time while the standard cosmology predicts an exponential functionthe new equation of state allows attributing a temperature to the physical vacuum a temperature proportional to the acceleration of the expansion of the universe the vacuum temperature decreases with the expansion of the universe approaching but never reaching the absolute zero | [['in', 'the', 'contemporary', 'cosmology', 'dark', 'energy', 'is', 'modeled', 'as', 'a', 'perfect', 'fluid', 'having', 'a', 'very', 'simple', 'equation', 'of', 'state', 'pressure', 'is', 'proportional', 'to', 'dark', 'energy', 'density', 'as', 'an', 'alternative', 'i', 'propose', 'a', 'more', 'complex', 'equation', 'of', 'state', 'with', 'pressure', 'being', 'function', 'of', 'three', 'variables', 'dark', 'energy', 'density', 'matter', 'density', 'and', 'the', 'size', 'of', 'the', 'universe', 'one', 'consequence', 'of', 'the', 'new', 'equation', 'is', 'that', 'in', 'the', 'latetime', 'universe', 'cosmological', 'scale', 'factor', 'is', 'linear', 'function', 'of', 'time', 'while', 'the', 'standard', 'cosmology', 'predicts', 'an', 'exponential', 'functionthe', 'new', 'equation', 'of', 'state', 'allows', 'attributing', 'a', 'temperature', 'to', 'the', 'physical', 'vacuum', 'a', 'temperature', 'proportional', 'to', 'the', 'acceleration', 'of', 'the', 'expansion', 'of', 'the', 'universe', 'the', 'vacuum', 'temperature', 'decreases', 'with', 'the', 'expansion', 'of', 'the', 'universe', 'approaching', 'but', 'never', 'reaching', 'the', 'absolute', 'zero']] | [-0.13269265036327735, 0.16623403322943975, -0.16167418576491577, 0.0619129627706453, -0.07720349711035529, -0.09586650382674809, -0.025593596967800912, 0.2686681741474932, -0.2619854319134667, -0.3233380478716666, 0.052056466599160266, -0.24850608075177016, 0.009009068311687799, 0.13389441548966832, 0.01924971790022908, 0.009022071739778884, -0.05726015807933084, 0.0916360366954318, -0.062385983376448316, -0.23456645737432183, 0.3422449830048267, 0.12927451513467297, 0.26107248017985013, 0.018604438721893296, 0.1596634616068895, -0.08900831405997216, 0.0033691353554229043, 0.022013705141181426, -0.1615594505324078, 0.011584495265607632, 0.1767732216525943, 0.11074899448712747, 0.2876431326618448, -0.39703618831211523, -0.23760069826347452, 0.15078678867223883, 0.11619428759196683, 0.13216361669155077, -0.05283241924482882, -0.22415995447813802, -0.006406772874235626, -0.18560991464971355, -0.20801263859104965, -0.02851096720757684, 0.012016190696627863, -0.016439778174953384, -0.22153573939877172, 0.19597473085272096, -0.03468935052496231, -0.06750224686543187, -0.11456217140878452, -0.11314432245619115, -0.01005401541929572, 0.026075156202780142, 0.08869675736904385, 0.05496607075310162, 0.16154663253109902, -0.2235990636230957, -0.030720246546421078, 0.40950587508268654, -0.16068412214348604, -0.11069673634014063, 0.14600295375942463, -0.1534823564316837, -0.04997304157586768, 0.14580615527266938, 0.08509775814450075, 0.07596782554737141, -0.13630842500095885, 0.12625608060672325, 0.009099275024885672, 0.20213880597692613, 0.05832845517133753, 0.02463808907346139, 0.2628217859704408, 0.19889348624424347, 0.07650014360795819, 0.0774584334764269, -0.047703311608206754, -0.10756221948747313, -0.35728551457906443, -0.20876157923316163, -0.21618399696214305, 0.08067904292575774, -0.16806832871823704, -0.2200058479042303, 0.37760483662057065, 0.08803239781709929, 0.1944364154027895, 0.03142510603872999, 0.315563639225964, 0.16593222939521976, 0.017089364400524044, 0.08955324427599055, 0.255760803721064, 0.15697564107681355, 0.12961312346986584, -0.2521522153476854, 0.03794809055679868, 0.010058289545873601] |
711.044 | Magnetic Properties in Non-centrosymmetric Superconductors with and
without Antiferromagnetic Order | The paramagnetic properties in non-centrosymmetric superconductors with and
without antiferromagnetic (AFM) order are investigated with focus on the heavy
Fermion superconductors, CePt_3Si, CeRhSi_3 and CeIrSi_3. First, we investigate
the spin susceptibility in the linear response regime and elucidate the role of
AFM order. The spin susceptibility at T=0 is independent of the pairing
symmetry and increases in the AFM state. Second, the non-linear response to the
magnetic field are investigated on the basis of an effective model for CePt_3Si
which may be also applicable to CeRhSi_3 and CeIrSi_3. The role of
antisymmetric spin-orbit coupling (ASOC), helical superconductivity,
anisotropic Fermi surfaces and AFM order are examined in the dominantly s-, p-
and d-wave states. We emphasize the qualitatively important role of the mixing
of superconducting (SC) order parameters in the p-wave state which enhances the
spin susceptibility and suppresses paramagnetic depairing effect in a
significant way. Therefore, the dominantly p-wave superconductivity admixed
with the s-wave order parameter is consistent with the paramagnetic properties
of CePt_3Si at ambient pressure. We propose some experiments which can
elucidate the novel pairing states in CePt_3Si as well as CeRhSi_3 and
CeIrSi_3.
| cond-mat.supr-con cond-mat.str-el | the paramagnetic properties in noncentrosymmetric superconductors with and without antiferromagnetic afm order are investigated with focus on the heavy fermion superconductors cept_3si cerhsi_3 and ceirsi_3 first we investigate the spin susceptibility in the linear response regime and elucidate the role of afm order the spin susceptibility at t0 is independent of the pairing symmetry and increases in the afm state second the nonlinear response to the magnetic field are investigated on the basis of an effective model for cept_3si which may be also applicable to cerhsi_3 and ceirsi_3 the role of antisymmetric spinorbit coupling asoc helical superconductivity anisotropic fermi surfaces and afm order are examined in the dominantly s p and dwave states we emphasize the qualitatively important role of the mixing of superconducting sc order parameters in the pwave state which enhances the spin susceptibility and suppresses paramagnetic depairing effect in a significant way therefore the dominantly pwave superconductivity admixed with the swave order parameter is consistent with the paramagnetic properties of cept_3si at ambient pressure we propose some experiments which can elucidate the novel pairing states in cept_3si as well as cerhsi_3 and ceirsi_3 | [['the', 'paramagnetic', 'properties', 'in', 'noncentrosymmetric', 'superconductors', 'with', 'and', 'without', 'antiferromagnetic', 'afm', 'order', 'are', 'investigated', 'with', 'focus', 'on', 'the', 'heavy', 'fermion', 'superconductors', 'cept_3si', 'cerhsi_3', 'and', 'ceirsi_3', 'first', 'we', 'investigate', 'the', 'spin', 'susceptibility', 'in', 'the', 'linear', 'response', 'regime', 'and', 'elucidate', 'the', 'role', 'of', 'afm', 'order', 'the', 'spin', 'susceptibility', 'at', 't0', 'is', 'independent', 'of', 'the', 'pairing', 'symmetry', 'and', 'increases', 'in', 'the', 'afm', 'state', 'second', 'the', 'nonlinear', 'response', 'to', 'the', 'magnetic', 'field', 'are', 'investigated', 'on', 'the', 'basis', 'of', 'an', 'effective', 'model', 'for', 'cept_3si', 'which', 'may', 'be', 'also', 'applicable', 'to', 'cerhsi_3', 'and', 'ceirsi_3', 'the', 'role', 'of', 'antisymmetric', 'spinorbit', 'coupling', 'asoc', 'helical', 'superconductivity', 'anisotropic', 'fermi', 'surfaces', 'and', 'afm', 'order', 'are', 'examined', 'in', 'the', 'dominantly', 's', 'p', 'and', 'dwave', 'states', 'we', 'emphasize', 'the', 'qualitatively', 'important', 'role', 'of', 'the', 'mixing', 'of', 'superconducting', 'sc', 'order', 'parameters', 'in', 'the', 'pwave', 'state', 'which', 'enhances', 'the', 'spin', 'susceptibility', 'and', 'suppresses', 'paramagnetic', 'depairing', 'effect', 'in', 'a', 'significant', 'way', 'therefore', 'the', 'dominantly', 'pwave', 'superconductivity', 'admixed', 'with', 'the', 'swave', 'order', 'parameter', 'is', 'consistent', 'with', 'the', 'paramagnetic', 'properties', 'of', 'cept_3si', 'at', 'ambient', 'pressure', 'we', 'propose', 'some', 'experiments', 'which', 'can', 'elucidate', 'the', 'novel', 'pairing', 'states', 'in', 'cept_3si', 'as', 'well', 'as', 'cerhsi_3', 'and', 'ceirsi_3']] | [-0.21977998685061692, 0.27467603152137443, -0.016117446495079867, 0.0603547084398107, -0.0697033023712055, -0.14510391776009351, 0.057423225103286644, 0.33593314030878646, -0.23444918806474374, -0.24582583645999592, -0.00664939443137677, -0.3556901644464702, -0.11124084907664006, 0.12443729871208029, 0.1070307239774935, 0.02085564359621976, -0.11024703201963015, 0.02965495568169381, -0.1565694347930251, -0.22771199623758714, 0.3652753271412865, -0.016708200907595054, 0.33697080792188244, 0.12140719410281138, -0.005593406513423448, 0.01614245561812754, 0.16133759844227022, 0.00518091971815754, -0.13466026489272392, 0.01713583135404073, 0.2884265725145377, -0.14762926073116658, 0.14449107833206654, -0.42972783045342533, -0.2079909565678287, 0.020658658461905614, 0.1373959671610826, 0.14834659395711897, -0.051278333929467505, -0.3262439735649374, 0.03460033228170247, -0.15590246561013402, -0.13674775047899945, -0.1817310786034952, -0.054530498802646876, -0.0412918868054065, -0.27116387049537355, 0.13874080300147104, 0.08775085237650801, 0.09866651523637995, -0.09997932613271499, -0.15510984642871767, -0.07514583909638747, 0.022764310190674437, 0.09405594839030997, 0.08862562826333908, 0.1008813969912358, -0.14708373705500996, -0.09832374690856624, 0.3576040075020364, -0.06568048247549262, -0.0709381405844964, 0.14392088149093413, -0.16639205982147526, -0.0779600041307902, 0.10631952382954618, 0.12519297901020254, 0.0643880094792093, -0.1091685791059287, 0.08313607331584408, 0.010901676719978211, 0.1809913039467828, -0.01897524487883133, 0.11695286180443501, 0.24230602550600724, 0.2184934364631772, 0.011367716706327854, 0.1366018430669091, -0.13715320200939732, -0.05798536245410721, -0.24970845797009045, -0.18453699540126547, -0.2025792829076489, -0.0009087009408000497, -0.0414463223842372, -0.14904573588551934, 0.3805493560209069, 0.17794505450236162, 0.18412159103900194, -0.1355747299109866, 0.21500530183160058, 0.08681186128492838, 0.06609699943213053, 0.039122246383559156, 0.2704377384508662, 0.21174282140238712, 0.10241142459343919, -0.3913978912320892, 0.11932010761392052, 0.027479899601550194] |
711.0441 | Generalized conformal realizations of Kac-Moody algebras | We present a construction which associates an infinite sequence of Kac-Moody
algebras, labeled by a positive integer n, to one single Jordan algebra. For
n=1, this reduces to the well known Kantor-Koecher-Tits construction. Our
generalization utilizes a new relation between different generalized Jordan
triple systems, together with their known connections to Jordan and Lie
algebras. Applied to the Jordan algebra of hermitian 3x3 matrices over the
division algebras R, C, H, O, the construction gives the exceptional Lie
algebras f4, e6, e7, e8 for n=2. Moreover, we obtain their infinite-dimensional
extensions for n greater or equal to 3. In the case of 2x2 matrices the
resulting Lie algebras are of the form so(p+n,q+n) and the concomitant
nonlinear realization generalizes the conformal transformations in a spacetime
of signature (p,q).
| hep-th math.RA | we present a construction which associates an infinite sequence of kacmoody algebras labeled by a positive integer n to one single jordan algebra for n1 this reduces to the well known kantorkoechertits construction our generalization utilizes a new relation between different generalized jordan triple systems together with their known connections to jordan and lie algebras applied to the jordan algebra of hermitian 3x3 matrices over the division algebras r c h o the construction gives the exceptional lie algebras f4 e6 e7 e8 for n2 moreover we obtain their infinitedimensional extensions for n greater or equal to 3 in the case of 2x2 matrices the resulting lie algebras are of the form sopnqn and the concomitant nonlinear realization generalizes the conformal transformations in a spacetime of signature pq | [['we', 'present', 'a', 'construction', 'which', 'associates', 'an', 'infinite', 'sequence', 'of', 'kacmoody', 'algebras', 'labeled', 'by', 'a', 'positive', 'integer', 'n', 'to', 'one', 'single', 'jordan', 'algebra', 'for', 'n1', 'this', 'reduces', 'to', 'the', 'well', 'known', 'kantorkoechertits', 'construction', 'our', 'generalization', 'utilizes', 'a', 'new', 'relation', 'between', 'different', 'generalized', 'jordan', 'triple', 'systems', 'together', 'with', 'their', 'known', 'connections', 'to', 'jordan', 'and', 'lie', 'algebras', 'applied', 'to', 'the', 'jordan', 'algebra', 'of', 'hermitian', '3x3', 'matrices', 'over', 'the', 'division', 'algebras', 'r', 'c', 'h', 'o', 'the', 'construction', 'gives', 'the', 'exceptional', 'lie', 'algebras', 'f4', 'e6', 'e7', 'e8', 'for', 'n2', 'moreover', 'we', 'obtain', 'their', 'infinitedimensional', 'extensions', 'for', 'n', 'greater', 'or', 'equal', 'to', '3', 'in', 'the', 'case', 'of', '2x2', 'matrices', 'the', 'resulting', 'lie', 'algebras', 'are', 'of', 'the', 'form', 'sopnqn', 'and', 'the', 'concomitant', 'nonlinear', 'realization', 'generalizes', 'the', 'conformal', 'transformations', 'in', 'a', 'spacetime', 'of', 'signature', 'pq']] | [-0.16990866954255057, 0.07912487349407399, 0.004487327994837418, 0.042616710988034705, -0.13356518783555257, -0.22010627818682532, -0.023831780564487273, 0.32236001209363224, -0.28041314070047, -0.23185331844468052, 0.11036595672288338, -0.2273539649175964, -0.17954530050303405, 0.14852704905435501, -0.11948896420195582, -0.05793738929741818, -0.0002785479112740929, 0.14307462489305753, -0.19788882001779798, -0.2914827288546431, 0.35471185055143367, -0.008994997859433822, 0.21424353503673446, -0.04387472396150211, 0.11721259211263377, 0.031932348453285776, -0.02281243995008037, -0.07435251604472323, -0.11525645992153977, 0.13177337999066968, 0.3096586954083264, 0.09276912112052985, 0.16439131802446613, -0.33962916859286274, -0.08432868943759607, 0.17647241521076718, 0.19617145701758856, 0.0457040429377459, -0.026508401668681875, -0.24694169704127675, 0.052418475699295676, -0.20144555170554668, -0.14618766524849136, -0.016630607554469053, 0.08798223149167066, -0.06788435830610005, -0.2684312398714109, 0.03430505870753445, 0.10208723973574513, 0.10493000969714687, -0.0858757744770585, -0.14777224474791878, -0.06566719880224917, 0.06452203231981009, -0.10918425828379792, 0.010424428217032352, 0.08799567588194325, -0.021010004579800907, -0.1880453812750423, 0.3651352694228761, -0.00255440885391761, -0.2392732522736384, 0.1504811544528627, -0.1622640953369908, -0.18053362504982456, 0.10835957698392, 0.06380049338358945, 0.10787081283583182, -0.04629993300855629, 0.20942718063858815, -0.09950089466017414, 0.022888797591990372, 0.11583494775613228, -0.0003292731057089849, 0.17350519183055152, 0.07550364090533061, 0.047534896189156246, 0.13724179205110693, 0.0740019527014609, -0.06460695897089684, -0.37968596625398465, -0.17069521681731017, -0.10795734935315458, 0.14234791445824516, -0.17275678367499725, -0.17767176417795222, 0.40642529421515294, 0.059559311662176366, 0.20208631448565037, 0.12141468588310463, 0.13414586947013543, 0.0734799550305392, 0.19127030803099657, 0.023016842470805005, 0.12290856551287759, 0.2867657615286188, 0.019863121220695338, -0.16328460468789635, -0.13760941054059678, 0.19817374539231575] |
711.0442 | A catalogue of singularities | This paper is an attempt to classify finite-time singularities of PDEs. Most
of the problems considered describe free-surface flows, which are easily
observed experimentally. We consider problems where the singularity occurs at a
point, and where typical scales of the solution shrink to zero as the
singularity is approached. Upon a similarity transformation, exact self-similar
behaviour is mapped to the fixed point of a {\it infinite dimensional dynamical
system} representing the original dynamics. We show that the dynamics close to
the fixed point is a useful way classifying the structure of the singularity.
Specifically, we consider various types of stable and unstable fixed points,
centre-manifold dynamics, limit cycles, and chaotic dynamics.
| math.AP math.DS | this paper is an attempt to classify finitetime singularities of pdes most of the problems considered describe freesurface flows which are easily observed experimentally we consider problems where the singularity occurs at a point and where typical scales of the solution shrink to zero as the singularity is approached upon a similarity transformation exact selfsimilar behaviour is mapped to the fixed point of a it infinite dimensional dynamical system representing the original dynamics we show that the dynamics close to the fixed point is a useful way classifying the structure of the singularity specifically we consider various types of stable and unstable fixed points centremanifold dynamics limit cycles and chaotic dynamics | [['this', 'paper', 'is', 'an', 'attempt', 'to', 'classify', 'finitetime', 'singularities', 'of', 'pdes', 'most', 'of', 'the', 'problems', 'considered', 'describe', 'freesurface', 'flows', 'which', 'are', 'easily', 'observed', 'experimentally', 'we', 'consider', 'problems', 'where', 'the', 'singularity', 'occurs', 'at', 'a', 'point', 'and', 'where', 'typical', 'scales', 'of', 'the', 'solution', 'shrink', 'to', 'zero', 'as', 'the', 'singularity', 'is', 'approached', 'upon', 'a', 'similarity', 'transformation', 'exact', 'selfsimilar', 'behaviour', 'is', 'mapped', 'to', 'the', 'fixed', 'point', 'of', 'a', 'it', 'infinite', 'dimensional', 'dynamical', 'system', 'representing', 'the', 'original', 'dynamics', 'we', 'show', 'that', 'the', 'dynamics', 'close', 'to', 'the', 'fixed', 'point', 'is', 'a', 'useful', 'way', 'classifying', 'the', 'structure', 'of', 'the', 'singularity', 'specifically', 'we', 'consider', 'various', 'types', 'of', 'stable', 'and', 'unstable', 'fixed', 'points', 'centremanifold', 'dynamics', 'limit', 'cycles', 'and', 'chaotic', 'dynamics']] | [-0.18091752352444707, 0.08932139996876039, -0.1352828270294242, 0.09706336828598937, -0.03072552399516844, -0.16147975437448, 0.026404803863156016, 0.2973977899564816, -0.33656255360210297, -0.1920281918635508, 0.14447957947682422, -0.2894573857219101, -0.18637653929810669, 0.13948649165497437, -0.028480140999932815, 0.06690937161932255, 0.0365431879957517, 0.0599937681675058, -0.07801354846283626, -0.2137902260166467, 0.38460724046537736, 0.02551104836501517, 0.25221655042925933, -0.004903024947690265, 0.12987381502616782, -0.039472536096713286, 0.03465355485929428, 0.06443995328804662, -0.16941537527056244, 0.03410565422277327, 0.274470443019291, 0.061294582525587026, 0.25110315613926865, -0.3935340870138224, -0.24112035574911683, 0.13492424224780217, 0.17855517894054787, 0.1270639419855617, -0.003233143075228761, -0.24559266255279114, 0.11773025546105462, -0.0997639134933182, -0.2211658838246991, -0.053439656406775254, 0.03815269411063275, -0.003191353048424463, -0.213642975930565, 0.04483628214917304, 0.07877768007938767, 0.05030567110893694, -0.053536438713529824, -0.0016574968304904597, -0.023578443800451588, 0.1447325494467608, 0.03853973710431239, 0.004017488552710494, 0.12615818463198775, -0.10925738599135904, -0.08641468711209961, 0.4083235140822761, -0.03469891396355354, -0.2019615053694259, 0.23044216209342955, -0.12626942149195652, -0.11960046600575584, 0.14570240327786352, 0.15798665294927117, 0.16287709401316336, -0.11229993247789927, 0.10171063784520386, -0.017589271454526496, 0.12803109048478734, 0.09003494187627357, -0.04101497878379247, 0.2238487321254168, 0.18158561512481775, 0.10119040552862324, 0.16262696569718355, -0.061082229500653236, -0.17614080192235945, -0.3044627287198563, -0.10778637382575218, -0.13732977331246812, 0.0778067319586806, -0.1107738115820826, -0.21154508145677076, 0.3903966281260993, 0.1487222375271649, 0.26710854764809616, 0.028615362286727102, 0.2516650695370527, 0.15753912657125946, -0.0036675477309177653, 0.0794763880601438, 0.20232890312232682, 0.058882165249218944, 0.07373850226721114, -0.21369318114929237, -0.004460136263488649, 0.10554877986611279] |
711.0443 | Deconfinement Phase Transition Heating and Thermal Evolution of Neutron
Stars | The deconfinement phase transition will lead to the release of latent heat
during spins down of neutron stars if the transition is the first-order one.We
have investigated the thermal evolution of neutron stars undergoing such
deconfinement phase transition. The results show that neutron stars may be
heated to higher temperature.This feature could be particularly interesting for
high temperature of low-magnetic field millisecond pulsar at late stage.
| astro-ph | the deconfinement phase transition will lead to the release of latent heat during spins down of neutron stars if the transition is the firstorder onewe have investigated the thermal evolution of neutron stars undergoing such deconfinement phase transition the results show that neutron stars may be heated to higher temperaturethis feature could be particularly interesting for high temperature of lowmagnetic field millisecond pulsar at late stage | [['the', 'deconfinement', 'phase', 'transition', 'will', 'lead', 'to', 'the', 'release', 'of', 'latent', 'heat', 'during', 'spins', 'down', 'of', 'neutron', 'stars', 'if', 'the', 'transition', 'is', 'the', 'firstorder', 'onewe', 'have', 'investigated', 'the', 'thermal', 'evolution', 'of', 'neutron', 'stars', 'undergoing', 'such', 'deconfinement', 'phase', 'transition', 'the', 'results', 'show', 'that', 'neutron', 'stars', 'may', 'be', 'heated', 'to', 'higher', 'temperaturethis', 'feature', 'could', 'be', 'particularly', 'interesting', 'for', 'high', 'temperature', 'of', 'lowmagnetic', 'field', 'millisecond', 'pulsar', 'at', 'late', 'stage']] | [-0.0695071418196536, 0.3469199826582693, -0.09134597655815574, 0.08112156108344117, -0.14583172196379074, -0.06597898393296278, 0.08140415754169225, 0.378934901035749, -0.20855938729185325, -0.29450397992936467, 0.08090274090377184, -0.3088980797176751, -0.005263064199915299, 0.18920292060535687, 0.023197549746300165, -0.03287968781705086, 0.06432972103178214, 0.07327516465806044, -0.12523908413445148, -0.22063839554119533, 0.3096109489603595, 0.04984700455903434, 0.1957199317904619, 0.04053630159737972, 0.04486015731325516, -0.14695924405151836, 0.07158498868632775, -0.05077017892438632, -0.11330316631680874, -0.11838251401025515, 0.31995588996662544, 0.08593761551265533, 0.15248883853021722, -0.4265030342512406, -0.27041812034753654, 0.10477225925558462, 0.15159462289168285, 0.08601824139746336, -0.09367984155049691, -0.25983165287627624, 0.07278142829353992, -0.19437715191967211, -0.13927422309867465, -0.0891825895040081, 0.012389775732747065, 0.026776761719240594, -0.23575377687811852, 0.12363179992132176, 0.10194505544809195, 0.008572802033561927, -0.09977683051704214, -0.10026756227016449, -0.03507528305770113, 0.0766319943448672, 0.0596528725949331, 0.11803320931413999, 0.18609309107638322, -0.1483816345437215, -0.03442011022796998, 0.3758224311642922, -0.07043250314354037, 0.06440236304814999, 0.17585213110567285, -0.273929973003956, -0.18740971284345365, 0.22176671039599638, 0.1468232134070534, 0.16216856088632575, -0.1610627260345679, -0.058547315288048525, 0.11222081576975493, 0.17699151980117536, 0.06993995030912069, 0.018533718249259087, 0.3977982650940808, 0.21704949324037162, -0.040265279202363814, 0.18768146283064896, -0.18269352862754693, -0.08642332933556575, -0.22005984924303798, -0.11798996280950423, -0.1472892476675602, 0.05570838558845795, -0.15206889639823482, -0.13563091102271127, 0.3111062443600251, 0.1331092001959825, 0.12332528717815876, -0.06790178946505945, 0.216581899436334, 0.15379517038281149, 0.04829858064364929, 0.09850993860656253, 0.3330015469772311, 0.20473280273951017, 0.19572135235827703, -0.3214582947369378, 0.08642391792426889, 0.022867184752025285] |
711.0444 | Quantum Field Theories Coupled to Supergravity: AdS/CFT and Local
Couplings | This article is based on my PhD thesis and covers the following topics:
Holographic meson spectra in a dilaton flow background, the mixed Coulomb-Higgs
branch in terms of instantons on D7 branes, and a dual description of
heavy-light mesons. Moreover, in a second part the conformal anomaly of four
dimensional supersymmetric quantum field theories coupled to classical N=1
supergravity is explored in a superfield formulation. The complete basis for
the anomaly and consistency conditions, which arise from cohomological
considerations, are given. Possible implications for an extension of
Zamolodchikov's c-theorem to four dimensional supersymmetric quantum field
theories are discussed.
| hep-th | this article is based on my phd thesis and covers the following topics holographic meson spectra in a dilaton flow background the mixed coulombhiggs branch in terms of instantons on d7 branes and a dual description of heavylight mesons moreover in a second part the conformal anomaly of four dimensional supersymmetric quantum field theories coupled to classical n1 supergravity is explored in a superfield formulation the complete basis for the anomaly and consistency conditions which arise from cohomological considerations are given possible implications for an extension of zamolodchikovs ctheorem to four dimensional supersymmetric quantum field theories are discussed | [['this', 'article', 'is', 'based', 'on', 'my', 'phd', 'thesis', 'and', 'covers', 'the', 'following', 'topics', 'holographic', 'meson', 'spectra', 'in', 'a', 'dilaton', 'flow', 'background', 'the', 'mixed', 'coulombhiggs', 'branch', 'in', 'terms', 'of', 'instantons', 'on', 'd7', 'branes', 'and', 'a', 'dual', 'description', 'of', 'heavylight', 'mesons', 'moreover', 'in', 'a', 'second', 'part', 'the', 'conformal', 'anomaly', 'of', 'four', 'dimensional', 'supersymmetric', 'quantum', 'field', 'theories', 'coupled', 'to', 'classical', 'n1', 'supergravity', 'is', 'explored', 'in', 'a', 'superfield', 'formulation', 'the', 'complete', 'basis', 'for', 'the', 'anomaly', 'and', 'consistency', 'conditions', 'which', 'arise', 'from', 'cohomological', 'considerations', 'are', 'given', 'possible', 'implications', 'for', 'an', 'extension', 'of', 'zamolodchikovs', 'ctheorem', 'to', 'four', 'dimensional', 'supersymmetric', 'quantum', 'field', 'theories', 'are', 'discussed']] | [-0.12788390736000574, 0.15309917149552718, -0.0830121837302149, 0.10309509201835347, -0.11408821847622416, -0.17046738645936155, -0.0559573845120565, 0.2552702669386885, -0.1255531342081222, -0.2070887092743259, 0.08856862846747687, -0.2735014310277694, -0.1596958776080639, 0.1028978715707757, -0.09041046997180627, 0.04789864433435153, -0.01663695174098319, 0.07973753351109977, -0.08694074942542677, -0.2960495937482587, 0.37376022942326204, -0.029023847592595433, 0.2684679044439096, 0.07972265387426739, 0.09394671356457533, 0.005796155942204807, -0.012388907819606212, 0.033490152392840505, -0.12995991821647906, 0.13953466836971287, 0.25796293037259305, 0.08819477171940035, 0.11393379589200628, -0.4128319580317, -0.2243658229138474, 0.0636850371826155, 0.1650593120851839, 0.14352846523266932, -0.01895092824730566, -0.27160426805613147, 0.04171158587179926, -0.16059900919564676, -0.15666910890983987, -0.06467669512910236, -0.0019985868818867877, -0.14756416028593572, -0.2527101160103113, 0.06821159151268705, 0.0038163499498017586, 0.1093050611528511, -0.06285693803422, -0.12061308423646402, -0.03072314104065299, 0.017076662732098177, 0.11870622757480156, 0.06201954137020725, 0.12117545972388162, -0.20837040050195801, -0.19220248983260624, 0.3819435414078893, -0.07172589867888969, -0.2051435726343141, 0.15791023551838054, -0.09448597723219011, -0.2209535541193446, 0.06359865933321701, 0.11949310604511398, 0.1868986079768677, -0.16199805499149525, 0.22734469939700366, -0.0378116594380414, 0.10529848420992494, 0.0811470093167558, 0.07506846947766536, 0.28127546493933364, 0.1179877814316495, 0.0025746612803658887, 0.13971475541249526, 0.02447852757949458, -0.15889967875424488, -0.4909395700206562, -0.18473758595064282, -0.11005447141598074, 0.09139936481726033, -0.09621673493069355, -0.14017547383353265, 0.4245727163649221, 0.09834315137666227, 0.14461521923123877, 0.02986152571915858, 0.21173454342143877, 0.07609344515189224, 0.031509594477437515, 0.03037638709006109, 0.2447412461137437, 0.22723710204816747, 0.11249845258639746, -0.2266587413356245, -0.20516415342821606, 0.2269361443527765] |
711.0445 | A new family of maximal curves over a finite field | A new family of maximal curves over a finite field is presented and some of
their properties are investigated.
| math.AG | a new family of maximal curves over a finite field is presented and some of their properties are investigated | [['a', 'new', 'family', 'of', 'maximal', 'curves', 'over', 'a', 'finite', 'field', 'is', 'presented', 'and', 'some', 'of', 'their', 'properties', 'are', 'investigated']] | [-0.22093512220798353, 0.15288709952054838, -0.1130097650579716, 0.04487014069883643, -0.09443511441349983, -0.06436825126997735, 0.012945663453520913, 0.4086801815581949, -0.2756040600177489, -0.20459470290102458, 0.1605154304324012, -0.25981861823483515, -0.1083218245521972, 0.3448954453495772, -0.07345918448347795, 0.0626882537709255, -0.02903645568968434, 0.08318562129218328, -0.11632541804819514, -0.30137676980934647, 0.3248908758947724, -0.05380219946566381, 0.2351072631580265, 0.04774296656250954, 0.11702988394781162, -0.02515922153466626, -0.05393757734839853, 0.1091270019349299, -0.1714360005173244, 0.1756256852593077, 0.18186452337785772, 0.1342435918356243, 0.2507779943315606, -0.30378698802700166, -0.26932632065329115, 0.1380907992195142, 0.0837600148577047, 0.0684683715042315, -0.1260513122634668, -0.1971554475787439, 0.18615699637877314, -0.1693951699294542, -0.1943437563941667, -0.07774322715244796, 0.03212111715938112, 0.13305914264760518, -0.18041595346049258, -0.042492155353293606, 0.066885147635874, 0.1923217526391933, -0.053781962193744745, -0.13181293079335438, -0.033050312709651496, 0.06839963203099997, 0.014785267988611994, -0.048687184719662914, 0.01860623120477325, -0.137305484839568, -0.09418551957136706, 0.3700250418164375, -0.06105931936518142, -0.17565544949550377, 0.16488493371166682, -0.14840073109065233, -0.047758910584410556, 0.1450442463943833, 0.17608979952178502, 0.22889020823334394, -0.1937270466924498, 0.1369016099396456, -0.08724755715382726, 0.052656502511940505, 0.0071767747745310004, 0.09074656694735352, 0.17659324642859006, 0.10887215119835578, 0.03770350478589535, 0.15344627824685486, -0.0314763327570338, -0.10431744756275102, -0.37279558201369484, -0.19035100329079127, -0.13493494013030277, 0.020958654239381615, -0.07992377226458446, -0.21211266000510046, 0.4998865323631387, 0.0177548653201053, 0.2375453750995037, 0.05448649980519947, 0.14349094930251963, 0.08680071289602079, 0.036114634443564636, 0.053774367748318536, 0.18797333154514873, 0.22038438573087515, -0.03354034066126731, -0.188049534262207, 0.013937124149187616, 0.038849184902286844] |
711.0446 | Asymptotic Properties of Hilbert Geometry | We show that the spheres in Hilbert geometry have the same volume growth
entropy as those in the Lobachevsky space. We give the asymptotic estimates for
the ratio of the volume of metric ball to the area of the metric sphere in
Hilbert geometry. Derived estimates agree with the well-known fact in the
Lobachevsky space
| math.DG math.MG | we show that the spheres in hilbert geometry have the same volume growth entropy as those in the lobachevsky space we give the asymptotic estimates for the ratio of the volume of metric ball to the area of the metric sphere in hilbert geometry derived estimates agree with the wellknown fact in the lobachevsky space | [['we', 'show', 'that', 'the', 'spheres', 'in', 'hilbert', 'geometry', 'have', 'the', 'same', 'volume', 'growth', 'entropy', 'as', 'those', 'in', 'the', 'lobachevsky', 'space', 'we', 'give', 'the', 'asymptotic', 'estimates', 'for', 'the', 'ratio', 'of', 'the', 'volume', 'of', 'metric', 'ball', 'to', 'the', 'area', 'of', 'the', 'metric', 'sphere', 'in', 'hilbert', 'geometry', 'derived', 'estimates', 'agree', 'with', 'the', 'wellknown', 'fact', 'in', 'the', 'lobachevsky', 'space']] | [-0.09559499698437073, 0.061513138960369605, -0.09851745814085007, 0.09352283325384964, -0.01846597953276201, -0.010347541709515181, -0.02092762365937233, 0.3212057438001714, -0.23259457737546074, -0.24375389428301292, 0.14396890969100323, -0.29743108122863554, -0.1336365829052573, 0.2138679761100899, -0.14943113540383904, 0.04380751326680184, 0.017420967503196813, 0.09564319188621911, -0.10215965962799435, -0.3032304038716988, 0.40793021565133875, 0.05040336137806827, 0.28137310963462697, 0.02706093131141229, 0.09904273627325892, 0.015151344561441378, -0.023405861736021258, 0.08511824789562855, -0.24059358165157557, 0.1582226921550252, 0.20674566944891756, 0.10208675777539611, 0.1868463737720793, -0.38501329882578417, -0.24143363570117138, 0.11536812032149597, 0.09698703259398991, 0.016494947705756536, -0.016704844903539528, -0.26468170254745266, -0.00856370177458633, -0.09358810385773805, -0.17237683580341664, -0.0554354083978317, 0.025838861749930817, 0.0048805946452458475, -0.16278345347805456, 0.06352220727554099, 0.06831638640300794, 0.0035685118880461565, -0.12859643303196538, -0.09988939604637298, -0.02607329630885612, 0.13464388558641077, 0.057982757535170425, 0.05991234256123955, 0.11111722121184522, -0.0647070100022988, -0.04889474797316573, 0.3656977056102319, -0.09402860067573122, -0.3060317851941694, 0.12610486772504043, -0.28391448083249005, -0.07509601731699976, 0.11452072852460499, 0.1762552354315465, 0.0983534574508667, -0.04666038514538245, 0.2012406623837623, -0.08734824564307928, 0.08859457622959532, 0.10398406435481526, 0.05238603435626084, 0.10274773939428004, 0.08763165460391478, 0.11311483632519163, 0.17417158601085908, -0.08789150419391015, -0.15022402216087688, -0.36187050170476803, -0.2575698698362844, -0.22211392399727958, 0.041984972391616214, -0.210790119481019, -0.2274345965547995, 0.27738770298998466, 0.010323901965536855, 0.25883668722076847, 0.08871420987627723, 0.247086431898854, 0.07048675998495045, 0.05157814371314916, 0.07519677677615122, 0.3065984853289344, 0.12612098455429077, 0.08241417553614486, -0.18019569604234262, -0.015098854738541626, 0.19960121553052557] |
711.0447 | Publier sous l'Occupation I. Autour du cas de Jacques Feldbau et de
l'Acad\'emie des sciences | This is an article on mathematical publishing during the German occupation of
France. Looking at the cases of four of them and especially at the case of
Jacques Feldbau (one of the founders of the theory of fibre bundles), we
investigate the way censorship struck the French mathematicians who declared
jewish by the Statut des juifs of october 1940, and the strategies these
mathematicians then developed. The way the Vichy laws have been discussed and
applied at the Acad\'emie des sciences is investigated.
| math.HO math.AT | this is an article on mathematical publishing during the german occupation of france looking at the cases of four of them and especially at the case of jacques feldbau one of the founders of the theory of fibre bundles we investigate the way censorship struck the french mathematicians who declared jewish by the statut des juifs of october 1940 and the strategies these mathematicians then developed the way the vichy laws have been discussed and applied at the academie des sciences is investigated | [['this', 'is', 'an', 'article', 'on', 'mathematical', 'publishing', 'during', 'the', 'german', 'occupation', 'of', 'france', 'looking', 'at', 'the', 'cases', 'of', 'four', 'of', 'them', 'and', 'especially', 'at', 'the', 'case', 'of', 'jacques', 'feldbau', 'one', 'of', 'the', 'founders', 'of', 'the', 'theory', 'of', 'fibre', 'bundles', 'we', 'investigate', 'the', 'way', 'censorship', 'struck', 'the', 'french', 'mathematicians', 'who', 'declared', 'jewish', 'by', 'the', 'statut', 'des', 'juifs', 'of', 'october', '1940', 'and', 'the', 'strategies', 'these', 'mathematicians', 'then', 'developed', 'the', 'way', 'the', 'vichy', 'laws', 'have', 'been', 'discussed', 'and', 'applied', 'at', 'the', 'academie', 'des', 'sciences', 'is', 'investigated']] | [-0.07588312477153385, 0.07535874816575058, -0.1300805268449638, 0.10723722706802331, -0.05697962179886106, -0.08335171331050276, 0.03206650877247647, 0.2824252549488145, -0.22306906440165603, -0.3366077171308519, 0.129127880414326, -0.33478232841537914, -0.14606281079917768, 0.1970356820693499, -0.10321138228608083, -0.012890607820045722, 0.01548072408083119, 0.012090513364800924, 0.02895095999812401, -0.36762398839751376, 0.3207671448346699, 0.10892985471748287, 0.32965694415041163, 0.01672042975838803, 0.1238103656605169, 0.0194510869811513, -0.0923125054864095, -0.032280568435591614, -0.16580615414282943, 0.14585364309634682, 0.292157097802132, 0.1386530640316962, 0.346682226281286, -0.42911815930959546, -0.10536068517573272, 0.06792194801205888, 0.057806405823831036, 0.07297173531466647, 0.002282526985081974, -0.3326540235577363, 0.041111908646748414, -0.2031667065111142, -0.14364724723611888, 0.026025853078529428, 0.03793302612803594, 0.02329539429820791, -0.11278243540915885, 0.012578107286951964, 0.026254766994992955, 0.16954561503297544, -0.01767330026678458, -0.14526341026766768, -0.04218481960883246, 0.20681662858711392, 0.10738065580047573, -0.028005935469807328, 0.07373279063148966, -0.10062233223344046, -0.11072152082607904, 0.41083964238627046, 0.011939475875748675, -0.06638156363292586, 0.17121775343401147, -0.14459250049807038, -0.17980625327157823, 0.002375840669191336, 0.146158925941379, 0.10773322848998057, -0.13867891095342894, 0.12295575384301122, -0.024891982742149054, 0.07158338514309895, 0.17869423954641517, -0.08112074361666094, 0.21265892818853072, 0.10889343745869075, -0.022412465524246705, 0.062133086680234234, -0.07687116776853858, -0.08965952967328927, -0.26773085609620695, -0.1886876740292469, -0.10513815208915857, 0.02313882792722198, 0.037580026296531795, -0.08872351594729043, 0.3959706733474814, 0.08331410748710195, 0.06441650750657803, -0.008870613065701497, 0.22057095709952373, 0.04616723795527521, 0.022033925409888543, 0.045765252919466815, 0.2654122021285039, 0.1027271773318371, 0.22720468039565447, -0.12384089680765814, 0.05588059173307464, 0.05700494012724655] |
711.0448 | A new class of invariants in the lepton sector | We construct a new set of combinations from the mass matrices of the charged
leptons and neutrinos that are invariant under basis transformation, hereafter
{\it the} invariants. We use these invariants to study various symmetries and
neutrino mass textures in a basis independent way. In particular, we show that
by using these invariants the ansatz such as $\mu-\tau$ exchange and reflection
symmetries, various texture zeros and flavor symmetries can be expressed in a
general basis.
| hep-ph | we construct a new set of combinations from the mass matrices of the charged leptons and neutrinos that are invariant under basis transformation hereafter it the invariants we use these invariants to study various symmetries and neutrino mass textures in a basis independent way in particular we show that by using these invariants the ansatz such as mutau exchange and reflection symmetries various texture zeros and flavor symmetries can be expressed in a general basis | [['we', 'construct', 'a', 'new', 'set', 'of', 'combinations', 'from', 'the', 'mass', 'matrices', 'of', 'the', 'charged', 'leptons', 'and', 'neutrinos', 'that', 'are', 'invariant', 'under', 'basis', 'transformation', 'hereafter', 'it', 'the', 'invariants', 'we', 'use', 'these', 'invariants', 'to', 'study', 'various', 'symmetries', 'and', 'neutrino', 'mass', 'textures', 'in', 'a', 'basis', 'independent', 'way', 'in', 'particular', 'we', 'show', 'that', 'by', 'using', 'these', 'invariants', 'the', 'ansatz', 'such', 'as', 'mutau', 'exchange', 'and', 'reflection', 'symmetries', 'various', 'texture', 'zeros', 'and', 'flavor', 'symmetries', 'can', 'be', 'expressed', 'in', 'a', 'general', 'basis']] | [-0.13710017480887474, 0.18880321510136128, -0.0680987265954415, 0.13095497217029334, -0.07631378777325154, -0.0925404310412705, 0.017203064660231273, 0.35424734581261874, -0.2789798827469349, -0.30419518970573944, 0.09775183289156605, -0.2631820704539617, -0.16602661600336432, 0.11891133045156797, 0.012934554362048706, 0.07719071219364802, 0.021631670302400985, -0.031784994701544445, -0.1684323617753883, -0.1909832269946734, 0.3687049309660991, -0.022837779621283215, 0.25923251611491044, 0.01728460076187427, 0.09415633153170347, -0.005369293186813593, -0.018695879510293403, -0.03666417255997658, -0.09145131637749727, 0.06538249231874943, 0.21951861967332661, 0.12322458638256649, 0.04156881627937158, -0.40007282291849455, -0.1251448713367184, 0.1312613238890966, 0.1501274503635553, 0.12036179705212513, -0.09634479489177465, -0.3176578016144534, 0.059390086432298025, -0.21740774028003215, -0.1492281432946523, -0.18230167678246895, -0.03383837799231211, -0.008699098530535897, -0.3037056861942013, 0.06075696258820244, 0.0003768769154946009, 0.04380050277958314, -0.03426538896436493, -0.1379061069075639, -0.07942025250444809, 0.07545034244035681, 0.12838698014616967, -0.0579685857364287, 0.09568941258825361, -0.11042851122096181, -0.13658354125916958, 0.4221557406584422, -0.05388825447919468, -0.30428603244324526, 0.15312528800219297, -0.13153170376395185, -0.20553123751034338, 0.051897838674485684, 0.18267785194019476, 0.10540935274834434, -0.19766694286217293, 0.12551289898343385, -0.14201018530875445, 0.09170954295744499, 0.10212645275518298, 0.054774663669522855, 0.26331773893286786, 0.05387769985633592, 0.05601204751680295, 0.06318435896032801, -0.03242981495335698, -0.019884021108349165, -0.3627126940588156, -0.16474822314456106, -0.1311373496862749, 0.09771507542580365, -0.09656352476449684, -0.12144384811321894, 0.4726546607911587, 0.12679014679665368, 0.21626508582383394, 0.011987829475353162, 0.2123433087641994, 0.11442326885667474, 0.10640129302938779, 0.05835188388824463, 0.17191883114477, 0.15922457075677812, 0.0039024752626816432, -0.18857706463895738, -0.01330366477370262, 0.13924089279646676] |
711.0449 | Sinusoidal excitations in reduced Maxwell-Duffing model | Sinusoidal wave solutions are obtained for reduced Maxwell-Duffing equations
describing the wave propagation in a non-resonant atomic medium. These
continuous wave excitations exist when the medium is initially polarized by an
electric field. Other obtained solutions include both mono-frequency and
cnoidal waves.
| nlin.PS | sinusoidal wave solutions are obtained for reduced maxwellduffing equations describing the wave propagation in a nonresonant atomic medium these continuous wave excitations exist when the medium is initially polarized by an electric field other obtained solutions include both monofrequency and cnoidal waves | [['sinusoidal', 'wave', 'solutions', 'are', 'obtained', 'for', 'reduced', 'maxwellduffing', 'equations', 'describing', 'the', 'wave', 'propagation', 'in', 'a', 'nonresonant', 'atomic', 'medium', 'these', 'continuous', 'wave', 'excitations', 'exist', 'when', 'the', 'medium', 'is', 'initially', 'polarized', 'by', 'an', 'electric', 'field', 'other', 'obtained', 'solutions', 'include', 'both', 'monofrequency', 'and', 'cnoidal', 'waves']] | [-0.2564612705623958, 0.23537446012494734, -0.006533603536010515, 0.07626619693402928, -0.06288699408220809, -0.0994687866442269, -0.08390627374372832, 0.37523340047677844, -0.2563039847172615, -0.18229253994437253, 0.08135509051144033, -0.31610417393286055, -0.1132724471958127, 0.21057779037552635, 0.1667936787736125, 0.09446464867399233, 0.02540668205744246, -0.03533391994083437, 0.0006406526762719561, -0.12760254323891387, 0.3290739542600222, -0.05857337636464253, 0.26453485435283763, -0.027849653054301333, 0.07833380157854862, 0.04146638035592509, -0.0018969478948814113, 0.017856891539583846, -0.09426604413495558, -0.011634811690849503, 0.2600061184295067, 0.052275140201900064, 0.17056661711369708, -0.5539980462138973, -0.3239696070142999, -0.018724844905990745, 0.17946572032779817, 0.21281179413199425, -0.07352513500216712, -0.36618197927387747, -0.038511414875889695, -0.11215793077902096, -0.25804018452990707, -0.05983890070602661, 0.04605229425232676, 0.1803368373160682, -0.26571614029476553, 0.08811024724074253, 0.026861001373972834, -0.019908624477599317, -0.1700644573969085, -0.08605458058144261, -0.07157561093250789, -0.010108775325068386, 0.08150358117617122, 0.09629571466797554, 0.07589126823515427, -0.19230134955255268, -0.04792400291643855, 0.38981876046987385, -0.14044047829626902, -0.25422136524192446, 0.15405001222701153, -0.1468573895633709, 0.028380583983096407, 0.2803547347373352, 0.18189300918843734, 0.09279952047211004, -0.13983685107193264, 0.04789769951191663, -0.04010424528891368, 0.16378623483384527, 0.2114678621632842, 0.050465064793370845, 0.20470452991813967, 0.07195727700344855, 0.040470204565946646, 0.08963881131040113, -0.020733622288921984, -0.049037082626189034, -0.26465403696340395, -0.05616397824047542, -0.11826152102340286, 0.028022983364502492, -0.04761311669639459, -0.19361820162796392, 0.39601150359504106, 0.06492510339154339, 0.03749644197523594, -0.025271528377765563, 0.2747555996700213, 0.24607356967086472, -0.06929849601555162, 0.10053336934936119, 0.34654530423988655, 0.20337808591586243, 0.14103954830547658, -0.20875817616668915, -0.049106241283347694, 0.0206459837443218] |
711.045 | A few remarks about the Pioneer anomaly | Some features of the Pioneer anomaly are discussed in context of author's
explanation of this effect as a deceleration of the probes in the graviton
background. It is noted that if the model is true then the best parameter of
the anomalous acceleration should be not the distance to the Sun but a cosine
of the angle between a velocity of the probe and its radius-vector.
| physics.gen-ph physics.space-ph | some features of the pioneer anomaly are discussed in context of authors explanation of this effect as a deceleration of the probes in the graviton background it is noted that if the model is true then the best parameter of the anomalous acceleration should be not the distance to the sun but a cosine of the angle between a velocity of the probe and its radiusvector | [['some', 'features', 'of', 'the', 'pioneer', 'anomaly', 'are', 'discussed', 'in', 'context', 'of', 'authors', 'explanation', 'of', 'this', 'effect', 'as', 'a', 'deceleration', 'of', 'the', 'probes', 'in', 'the', 'graviton', 'background', 'it', 'is', 'noted', 'that', 'if', 'the', 'model', 'is', 'true', 'then', 'the', 'best', 'parameter', 'of', 'the', 'anomalous', 'acceleration', 'should', 'be', 'not', 'the', 'distance', 'to', 'the', 'sun', 'but', 'a', 'cosine', 'of', 'the', 'angle', 'between', 'a', 'velocity', 'of', 'the', 'probe', 'and', 'its', 'radiusvector']] | [-0.11553784741695519, 0.13646629001155045, -0.1361895988849221, 0.1019155095370176, -0.11340915607852918, -0.09249709851362488, 0.01951278971903252, 0.3357523839504486, -0.2705010251904076, -0.3171195798892189, 0.09502432740533329, -0.257794760915479, -0.1506984198296612, 0.1962517293445258, -0.030362961969027918, -0.012008967478653754, -0.010244417021925929, 0.10895228603233893, -0.05029621465611413, -0.21054737891465652, 0.2841251782621398, 0.1158495991293228, 0.20958123212525, 0.08566238657063381, 0.10369260029189965, -0.06419180948851687, -0.032374811894965896, 0.05578385800066771, -0.0846275173337772, 0.06892507565631108, 0.16268659309681618, 0.11397767101880163, 0.2141172818867772, -0.32454211688177154, -0.23303396546874533, 0.11348219348953782, 0.12938164889276255, 0.09867260099924875, -0.021612354825871687, -0.29095491682263935, 0.03138437230760852, -0.1366885498935131, -0.1627699235087317, 0.009826367851487841, 0.07096676701312941, -0.009677534411435552, -0.24021528893376165, 0.11481330223437963, 0.0702993523710492, 0.0048290661564379025, -0.07151645129003252, -0.08385698381585605, -0.010401377863617558, 0.11502686770505864, 0.1536877290539754, 0.07061015240227182, 0.10812886802225628, -0.16760537955049198, -0.09769365567516422, 0.4179903803901239, -0.07370802044346364, -0.19437655416726501, 0.14943768983269393, -0.20919484591506649, -0.08832835330395028, 0.06240211128059662, 0.11100335346749159, 0.09424586139732238, -0.1492307140971675, 0.09588273298471574, -0.04772216796338784, 0.13863847421651537, 0.07572681479646373, 0.034729040771101914, 0.24020272428452066, 0.13539807400383957, 0.03695114587687633, 0.07758335610957477, -0.1467943494490376, -0.022882496003259086, -0.352631462307534, -0.1937158964680169, -0.18663095442973304, -0.009210247630879607, -0.10174700982536182, -0.1424754489297894, 0.39413841396118654, 0.18663478126241403, 0.2487287385332765, -0.033081928959511446, 0.3066520631369768, 0.09637080173706636, 0.07883455770118444, 0.056236819067800585, 0.34938713705218327, 0.12268217281918183, 0.0910934167772983, -0.23172391641348827, 0.10396807984789395, 0.06938316695265133] |
711.0451 | The singular points of self-similar functions with zero spectral degree.
Stieltjes self-similar string | The self-similar functions of zero spectral degree are defined. The singular
points of these functions are investigated and full classification of points is
given. The connection with spectral problems (Stieltjes string) is pointed out.
| math.FA | the selfsimilar functions of zero spectral degree are defined the singular points of these functions are investigated and full classification of points is given the connection with spectral problems stieltjes string is pointed out | [['the', 'selfsimilar', 'functions', 'of', 'zero', 'spectral', 'degree', 'are', 'defined', 'the', 'singular', 'points', 'of', 'these', 'functions', 'are', 'investigated', 'and', 'full', 'classification', 'of', 'points', 'is', 'given', 'the', 'connection', 'with', 'spectral', 'problems', 'stieltjes', 'string', 'is', 'pointed', 'out']] | [-0.18921223025330725, 0.07192917239359196, -0.09653884654535967, 0.11797862426679143, -0.06270881112226669, -0.12014231860966366, 0.031964335302986646, 0.3892512781655087, -0.28394971130525365, -0.18090288757401354, 0.11039590326083057, -0.3002929776249563, -0.14784079394303262, 0.1649459581822157, -0.031939399757367724, 0.12821987085044384, 0.04152084711719962, 0.043155313784475714, -0.16072803064632943, -0.2939228884437505, 0.4302346883889507, 0.011986416928908405, 0.24480441072955728, 0.058528079130851174, 0.10589315654600368, -0.0460340575013748, -0.13652934139484868, 0.03134934417903423, -0.1374425752197995, 0.09313624741180855, 0.29100954499753084, 0.1265766607487903, 0.22850705598316648, -0.299797147841138, -0.19219953870839057, 0.1801465496639995, 0.10929877331535168, -0.022220298593096873, 0.07657732318758088, -0.2519436885931474, 0.16029783325982006, -0.05035986396294046, -0.17930999370839665, -0.09362174732172314, 0.026293307679760104, 0.15233366531045997, -0.19754369376117692, 0.05408420778044006, 0.034860699108856565, 0.11622940365444212, -0.053616999155458284, -0.15696219513740609, -0.06982609420083463, 0.11795572668094845, 0.06537526899346095, 0.023793603526428342, 0.05191544257104397, -0.08948609141139861, -0.12092671450912296, 0.352842195349855, 0.0524576584370259, -0.22712829380350955, 0.14481071610798074, -0.1518683783189558, -0.09882044562083833, 0.14666288113221526, 0.05214121726834599, 0.16100619936033206, -0.09276709817897748, 0.18582194325726425, -0.0650386605411768, 0.08554809480248128, 0.12584542855620384, 0.007218524594517315, 0.22199847527286587, 0.08211284725214629, 0.05493109904722694, 0.15915594986804268, -0.03965389683349606, -0.1283796730944339, -0.3513658237369621, -0.07168846125440563, -0.24064343926661155, 0.08733157643719631, -0.16257619166101314, -0.2764516584438217, 0.4346772225244957, 0.004330044639680316, 0.23384735959253328, 0.06099015572930083, 0.1623371595188099, 0.25954892201458707, 0.026645151377819917, 0.061757032540352905, 0.16902711373918197, 0.1930645389263244, 0.04699212557855336, -0.13849773918114164, -0.057616144815898114, 0.14364444004262195] |
711.0452 | Light and Electromagnetic Waves Teaching in Engineering Education | Suggestion of physics laboratory exercises and discussion of the physics
laboratory curricula for engineering majors where the properties of light and
electromagnetic waves are studied in parallel. It is shown that one of the
important educational advantages of an experimental study of the properties of
microwaves as an example of electromagnetic waves simultaneously with the
properties of light are, on one hand, visualization of the properties of
microwaves, and on the other hand, provide evidences that light is an
electromagnetic wave.
| physics.ed-ph physics.optics | suggestion of physics laboratory exercises and discussion of the physics laboratory curricula for engineering majors where the properties of light and electromagnetic waves are studied in parallel it is shown that one of the important educational advantages of an experimental study of the properties of microwaves as an example of electromagnetic waves simultaneously with the properties of light are on one hand visualization of the properties of microwaves and on the other hand provide evidences that light is an electromagnetic wave | [['suggestion', 'of', 'physics', 'laboratory', 'exercises', 'and', 'discussion', 'of', 'the', 'physics', 'laboratory', 'curricula', 'for', 'engineering', 'majors', 'where', 'the', 'properties', 'of', 'light', 'and', 'electromagnetic', 'waves', 'are', 'studied', 'in', 'parallel', 'it', 'is', 'shown', 'that', 'one', 'of', 'the', 'important', 'educational', 'advantages', 'of', 'an', 'experimental', 'study', 'of', 'the', 'properties', 'of', 'microwaves', 'as', 'an', 'example', 'of', 'electromagnetic', 'waves', 'simultaneously', 'with', 'the', 'properties', 'of', 'light', 'are', 'on', 'one', 'hand', 'visualization', 'of', 'the', 'properties', 'of', 'microwaves', 'and', 'on', 'the', 'other', 'hand', 'provide', 'evidences', 'that', 'light', 'is', 'an', 'electromagnetic', 'wave']] | [-0.08846860009757226, 0.16592390378732322, -0.10398047350714971, 0.040909236679313545, -0.12746362727894275, -0.10004237774805522, -0.04169372366856278, 0.3687903225697853, -0.21652910699722944, -0.32029162082867124, 0.08771106994417668, -0.315175595888753, -0.16404178701801064, 0.31852845953386505, 0.0566718426797493, 0.04027500320915823, 0.04050800587154097, 0.04768802717444487, -0.016411113753960826, -0.2005594521071072, 0.2936883525531969, 0.07598496089333001, 0.298992932141747, 0.10513253755476555, 0.08421256469079742, 0.0064855031899096055, -0.02951218701761078, -0.04172443567464749, -0.06587412363054075, 0.11845800508227614, 0.26377970720698807, 0.15244444559995132, 0.2689741848749511, -0.47907435719245745, -0.23706511901346622, 0.0031740907349704223, 0.0749919115462237, 0.0793307215941173, -0.11615424374704836, -0.2911368539487874, 0.0014012719699997961, -0.08596569407202395, -0.15618336925076115, -0.02615227977986689, 0.025063593340117808, 0.07615707209621222, -0.1906278583071666, -0.011550823008112701, 0.07502048232098237, 0.10236153135329117, -0.07389618734035779, -0.11234876401952387, -0.0023753258894071167, 0.11513555614438689, 0.10564472391212612, -0.009137691697105765, 0.11558969983440122, -0.2231535149600219, -0.15179448599501708, 0.443372498323888, -0.02017544036052753, -0.14416179402420917, 0.22427928764488042, -0.14535749835870515, -0.10507643701117715, 0.06649735641240338, 0.20258089936809776, 0.09755007605022395, -0.1339219038196506, 0.05807280537951163, -0.04858740455924424, 0.14715695516838703, 0.044133156515014024, 0.09518901242610113, 0.24000231695165972, 0.17881640723768483, -0.012042526351172983, 0.11818324730596448, -0.04560602869102617, -0.02486517986305702, -0.3147758768848431, -0.20996025466233675, -0.14407798308695172, 0.008009104300139437, -0.014050232244002989, -0.1553997201855829, 0.43452454822850817, 0.17906529401187543, 0.10119298232696307, -0.08136332998581139, 0.31624417908397723, 0.07619712639019399, 0.012257170535762, 0.028112661047482196, 0.326040887551592, 0.14053112514501, 0.10971205779293805, -0.20462834610270314, 0.02703229865105248, -0.02220641076133621] |
711.0453 | Inner-shell Annihilation of Positrons in Argon, Iron and Copper Atoms | The annihilation parameters of positrons with electrons in different shells
of Argon, Iron and Copper atoms are calculated below the positronium (Ps)
formation thresholds. Quite accurate ab initio calculations of the bound state
wavefunctions of Argon, Iron and Copper orbitals are obtained from Cowan
computer code. A least-squares variational method (LSVM) is used for
determining the wavefunction of the positrons. The program is employed for
calculating the s-wave partial cross sections of positrons scattered by Iron
and Copper atoms. Our results of the effective charge are compared with
available experimental and theoretical ones. --
| physics.atom-ph physics.chem-ph | the annihilation parameters of positrons with electrons in different shells of argon iron and copper atoms are calculated below the positronium ps formation thresholds quite accurate ab initio calculations of the bound state wavefunctions of argon iron and copper orbitals are obtained from cowan computer code a leastsquares variational method lsvm is used for determining the wavefunction of the positrons the program is employed for calculating the swave partial cross sections of positrons scattered by iron and copper atoms our results of the effective charge are compared with available experimental and theoretical ones | [['the', 'annihilation', 'parameters', 'of', 'positrons', 'with', 'electrons', 'in', 'different', 'shells', 'of', 'argon', 'iron', 'and', 'copper', 'atoms', 'are', 'calculated', 'below', 'the', 'positronium', 'ps', 'formation', 'thresholds', 'quite', 'accurate', 'ab', 'initio', 'calculations', 'of', 'the', 'bound', 'state', 'wavefunctions', 'of', 'argon', 'iron', 'and', 'copper', 'orbitals', 'are', 'obtained', 'from', 'cowan', 'computer', 'code', 'a', 'leastsquares', 'variational', 'method', 'lsvm', 'is', 'used', 'for', 'determining', 'the', 'wavefunction', 'of', 'the', 'positrons', 'the', 'program', 'is', 'employed', 'for', 'calculating', 'the', 'swave', 'partial', 'cross', 'sections', 'of', 'positrons', 'scattered', 'by', 'iron', 'and', 'copper', 'atoms', 'our', 'results', 'of', 'the', 'effective', 'charge', 'are', 'compared', 'with', 'available', 'experimental', 'and', 'theoretical', 'ones']] | [-0.03238732665150841, 0.1768679858119551, -0.03175253651874221, 0.10347219147851043, 0.059003286592601595, -0.12222575375547065, 0.051720278271797884, 0.4021132575429004, -0.17620897258672377, -0.31616756723910244, -0.07742113541209382, -0.39373701618498436, 0.05492724386124831, 0.19115585551101147, 0.12111152641718155, 0.09890137734802683, 0.09044725877012515, -0.05117388718771627, -0.1371965792596988, -0.2370488070326088, 0.26119049938152666, 0.11019551438157973, 0.2534668781116362, 0.10511164221426715, 0.003930611439737613, -0.02788780338090399, 0.021439048643831327, -0.06261803958888935, -0.1368112095591167, 0.1645929273977147, 0.3029277943895305, 0.050588104175403714, 0.12182920751587042, -0.5102903528503425, -0.1714628308106077, -0.005754631073416575, 0.1517775792415942, 0.16500001372364553, -0.08078967840107076, -0.3018980991581212, 0.008638675253757316, -0.1646745092863136, -0.13143441520894514, -0.05533915414960812, -0.013185470866079888, 0.061050888975960727, -0.27251132810488343, 0.06963570968029038, -0.01835171656895672, 0.05675645361320083, -0.14583082318953847, -0.25135821468480257, -0.04617263581072304, 0.009881320544872839, 0.04389216282668159, 0.021962563750212608, 0.2050701168001346, -0.06258287024178097, -0.08115269127554949, 0.42152095885704394, -0.046769874312145555, -0.11432951970187866, 0.1320513309556586, -0.11193659046725572, -0.018226789996412623, 0.2450803363007372, 0.09871372689351278, 0.15046164618663327, -0.1432098591037135, 0.0674992179644861, -0.04988207469147671, 0.17480148130815235, 0.07185545957991449, 0.022588595864363015, 0.17064778918258683, 0.16218200582585743, -0.03555391911093308, 0.05474916417101074, -0.15195438142299003, -0.06033287760194229, -0.2670391845800307, -0.1599702763504984, -0.19853356615741455, -0.0011562769625173962, -0.026253100326120268, -0.15443108305107275, 0.35299418194462423, 0.07752649412672642, 0.13152732988870094, -0.06833346470502084, 0.30273770131980593, 0.07484645107583872, 0.012353154714219272, 0.04019219930152125, 0.2727942640776746, 0.21062665114574053, 0.03171676026819193, -0.2962755216083125, 0.09103479673174898, 0.06333045162382009] |
711.0454 | Driving light pulses with light in two-level media | A two-level medium, described by the Maxwell-Bloch (MB) system, is engraved
by establishing a standing cavity wave with a linearly polarized
electromagnetic field that drives the medium on both ends. A light pulse,
polarized along the other direction, then scatters the medium and couples to
the cavity standing wave by means of the population inversion density
variations. We demonstrate that control of the applied amplitudes of the
grating field allows to stop the light pulse and to make it move backward
(eventually to drive it freely). A simplified limit model of the MB system with
variable boundary driving is obtained as a discrete nonlinear Schroedinger
equation with tunable external potential. It reproduces qualitatively the
dynamics of the driven light pulse.
| physics.optics cond-mat.other nlin.PS physics.class-ph | a twolevel medium described by the maxwellbloch mb system is engraved by establishing a standing cavity wave with a linearly polarized electromagnetic field that drives the medium on both ends a light pulse polarized along the other direction then scatters the medium and couples to the cavity standing wave by means of the population inversion density variations we demonstrate that control of the applied amplitudes of the grating field allows to stop the light pulse and to make it move backward eventually to drive it freely a simplified limit model of the mb system with variable boundary driving is obtained as a discrete nonlinear schroedinger equation with tunable external potential it reproduces qualitatively the dynamics of the driven light pulse | [['a', 'twolevel', 'medium', 'described', 'by', 'the', 'maxwellbloch', 'mb', 'system', 'is', 'engraved', 'by', 'establishing', 'a', 'standing', 'cavity', 'wave', 'with', 'a', 'linearly', 'polarized', 'electromagnetic', 'field', 'that', 'drives', 'the', 'medium', 'on', 'both', 'ends', 'a', 'light', 'pulse', 'polarized', 'along', 'the', 'other', 'direction', 'then', 'scatters', 'the', 'medium', 'and', 'couples', 'to', 'the', 'cavity', 'standing', 'wave', 'by', 'means', 'of', 'the', 'population', 'inversion', 'density', 'variations', 'we', 'demonstrate', 'that', 'control', 'of', 'the', 'applied', 'amplitudes', 'of', 'the', 'grating', 'field', 'allows', 'to', 'stop', 'the', 'light', 'pulse', 'and', 'to', 'make', 'it', 'move', 'backward', 'eventually', 'to', 'drive', 'it', 'freely', 'a', 'simplified', 'limit', 'model', 'of', 'the', 'mb', 'system', 'with', 'variable', 'boundary', 'driving', 'is', 'obtained', 'as', 'a', 'discrete', 'nonlinear', 'schroedinger', 'equation', 'with', 'tunable', 'external', 'potential', 'it', 'reproduces', 'qualitatively', 'the', 'dynamics', 'of', 'the', 'driven', 'light', 'pulse']] | [-0.16158209994440162, 0.1905291841889266, -0.10967903251294046, 0.02350574069423601, -0.08180935115475828, -0.158098631282337, 0.028268388359962652, 0.4271282204271605, -0.30651797382937124, -0.269520084890731, 0.06104098111003017, -0.2595515352170575, -0.07884833597733329, 0.20924490802863147, 0.035718733611671875, 0.04669963680401755, 0.04265837111355116, -0.013941002850575994, 0.028252165555022656, -0.13825762293611962, 0.2972553944215178, 0.007235554807508985, 0.2672762238110105, -0.013809355425958831, 0.13535033737231666, 0.054226968165797494, 0.022576279872252296, -0.02296694084846725, -0.04327810270927633, 0.06626360155836059, 0.1516807092547727, 0.019864145532483234, 0.23071357229103645, -0.4708390952650613, -0.2717773968402374, 0.00487778317850219, 0.15821572539862244, 0.155250007166372, -0.07338005298709807, -0.31495982518730065, -0.011302379161740343, -0.11493915768805892, -0.2529290661836664, 0.010969170953224723, 0.009893454665628573, 0.08855214260984212, -0.25559518333369247, 0.02670934781199321, 0.017529802808227638, -0.03947873534440684, -0.0667580377063132, -0.006223203069142377, -0.07020523729734122, 0.057181648739303155, 0.0652456291281851, 0.11315623553624997, 0.16851747588953003, -0.14671063071582466, -0.03402440318798957, 0.37647292761248535, -0.15163690532693483, -0.17986305387845883, 0.13837196286767722, -0.1606359448361521, 0.0226123255599911, 0.1928148235970487, 0.1591314741158082, 0.08897876519865046, -0.14158095254945996, 0.0434780012884706, -0.03724879400081894, 0.249931466486305, 0.09536560132789115, 0.004876690241508186, 0.2153891269854891, 0.17749750261815886, 0.0381964450624461, 0.164086477245534, -0.07018386316679728, -0.09662039992787565, -0.2842588219248379, -0.09665550959471148, -0.12928977705693492, 0.0462456043002021, -0.038927630568044456, -0.14961739669088275, 0.4311899391041758, 0.13250014438138655, 0.13653819811103554, -0.007410249385672311, 0.3051663926181694, 0.19631583892332855, 0.02334558105406662, 0.07271866602823138, 0.27616155760673183, 0.21134947964649958, 0.13580571870940428, -0.2979164591485945, -0.02047798689454794, 0.0007974645607949545] |
711.0455 | Cost and Capacity of Signaling in the Escherichia coli Protein Reaction
Network | In systems biology new ways are required to analyze the large amount of
existing data on regulation of cellular processes. Recent work can be roughly
classified into either dynamical models of well-described subsystems, or
coarse-grained descriptions of the topology of the molecular networks at the
scale of the whole organism. In order to bridge these two disparate approaches
one needs to develop simplified descriptions of dynamics and topological
measures which address the propagation of signals in molecular networks. Here,
we consider the directed network of protein regulation in E. coli,
characterizing its modularity in terms of its potential to transmit signals. We
demonstrate that the simplest measure based on identifying sub-networks of
strong components, within which each node could send a signal to every other
node, indeed partitions the network into functional modules. We then suggest
measures to quantify the cost and spread associated with sending a signal
between any particular pair of proteins. Thereby, we address the signalling
specificity within and between modules, and show that in the regulation of
E.coli there is a systematic reduction of the cost and spread for signals
traveling over more than two intermediate reactions.
| q-bio.MN cond-mat.soft | in systems biology new ways are required to analyze the large amount of existing data on regulation of cellular processes recent work can be roughly classified into either dynamical models of welldescribed subsystems or coarsegrained descriptions of the topology of the molecular networks at the scale of the whole organism in order to bridge these two disparate approaches one needs to develop simplified descriptions of dynamics and topological measures which address the propagation of signals in molecular networks here we consider the directed network of protein regulation in e coli characterizing its modularity in terms of its potential to transmit signals we demonstrate that the simplest measure based on identifying subnetworks of strong components within which each node could send a signal to every other node indeed partitions the network into functional modules we then suggest measures to quantify the cost and spread associated with sending a signal between any particular pair of proteins thereby we address the signalling specificity within and between modules and show that in the regulation of ecoli there is a systematic reduction of the cost and spread for signals traveling over more than two intermediate reactions | [['in', 'systems', 'biology', 'new', 'ways', 'are', 'required', 'to', 'analyze', 'the', 'large', 'amount', 'of', 'existing', 'data', 'on', 'regulation', 'of', 'cellular', 'processes', 'recent', 'work', 'can', 'be', 'roughly', 'classified', 'into', 'either', 'dynamical', 'models', 'of', 'welldescribed', 'subsystems', 'or', 'coarsegrained', 'descriptions', 'of', 'the', 'topology', 'of', 'the', 'molecular', 'networks', 'at', 'the', 'scale', 'of', 'the', 'whole', 'organism', 'in', 'order', 'to', 'bridge', 'these', 'two', 'disparate', 'approaches', 'one', 'needs', 'to', 'develop', 'simplified', 'descriptions', 'of', 'dynamics', 'and', 'topological', 'measures', 'which', 'address', 'the', 'propagation', 'of', 'signals', 'in', 'molecular', 'networks', 'here', 'we', 'consider', 'the', 'directed', 'network', 'of', 'protein', 'regulation', 'in', 'e', 'coli', 'characterizing', 'its', 'modularity', 'in', 'terms', 'of', 'its', 'potential', 'to', 'transmit', 'signals', 'we', 'demonstrate', 'that', 'the', 'simplest', 'measure', 'based', 'on', 'identifying', 'subnetworks', 'of', 'strong', 'components', 'within', 'which', 'each', 'node', 'could', 'send', 'a', 'signal', 'to', 'every', 'other', 'node', 'indeed', 'partitions', 'the', 'network', 'into', 'functional', 'modules', 'we', 'then', 'suggest', 'measures', 'to', 'quantify', 'the', 'cost', 'and', 'spread', 'associated', 'with', 'sending', 'a', 'signal', 'between', 'any', 'particular', 'pair', 'of', 'proteins', 'thereby', 'we', 'address', 'the', 'signalling', 'specificity', 'within', 'and', 'between', 'modules', 'and', 'show', 'that', 'in', 'the', 'regulation', 'of', 'ecoli', 'there', 'is', 'a', 'systematic', 'reduction', 'of', 'the', 'cost', 'and', 'spread', 'for', 'signals', 'traveling', 'over', 'more', 'than', 'two', 'intermediate', 'reactions']] | [-0.1516771869488909, 0.08419054420664907, -0.04125823338847627, 0.05925761890068592, -0.020473642525243627, -0.15058869377195502, 0.07649576382623761, 0.3567693432675996, -0.3153521321524673, -0.2779735409123189, 0.049310825017271125, -0.2726126297630604, -0.19208402560258295, 0.1549472286212331, -0.051693657911090055, -0.001493830241735888, 0.05754769825515537, 0.04645155771045473, 0.003920186509095445, -0.1931342150338228, 0.30339522125974727, 0.04945618153125516, 0.261575133505604, 0.042833607960784933, 0.1168251541273727, -0.02408497556020062, -0.03529961651717727, 0.011398032135744604, -0.10838330864300769, 0.16941840092149316, 0.28633856620842296, 0.1803025036589462, 0.2825495419311898, -0.48406873913698206, -0.25584220874527985, 0.16608178425465675, 0.14925867364210374, 0.1053438172090545, 0.0174748612849221, -0.26331740518159075, 0.1085093046793914, -0.15765290779027483, -0.0528973818912673, -0.054926235414066236, 0.02452874600555728, 0.06360973306829158, -0.23023999399988282, 0.05848341586213944, 0.010499957772623992, 0.060534189788000514, -0.061004763436186764, -0.08748146934503036, -0.05159944684015519, 0.1836157991436276, 0.03596106323801196, 0.0026073253869581285, 0.16649154896198173, -0.1461866596123662, -0.1534478563768176, 0.3673281975929182, -0.020556412655899803, -0.2262503123032758, 0.23528325890955218, -0.12519077210079424, -0.16648806617668396, 0.10789179981836113, 0.2119074354157905, 0.045660100794392415, -0.18831482059102875, 0.008621221016641433, 0.019098093452971886, 0.18639727319829674, 0.06048835408313112, 0.051006440126888104, 0.1914373666623422, 0.2015381505169189, 0.082491488350427, 0.1325802894803471, -0.07880262628286658, -0.10287661828022665, -0.2465548346947308, -0.1445252422550547, -0.1582743379053372, 0.033983023025349016, -0.08441942454952958, -0.12408315288439314, 0.44463332076873924, 0.12796703053648092, 0.21025758973415454, 0.07514349591835397, 0.2790660928649564, 0.055899884498127154, 0.09514292476379375, 0.04395334791216551, 0.17448427260204838, 0.1026690574216593, 0.05139716320789385, -0.1963982128486993, 0.09118531163018782, 0.010922038271847664] |
711.0456 | High-Precision Tests of the MSSM with GigaZ | We review the physics potential of the GigaZ option of the International
Linear Collider (ILC) for probing the Minimal Supersymmetric Standard Model
(MSSM) via the sensitivity of the electroweak precision observables measured at
the ILC to quantum corrections. A particular focus is put on the effective
leptonic weak mixing angle, sin^2_theta_eff. The MSSM predictions take into
account the complete one-loop results including the full complex phase
dependence, all available MSSM two-loop corrections as well as the full
Standard Model (SM) results. We find that the anticipated experimental accuracy
at the ILC with GigaZ option may resolve the virtual effects of SUSY particles
even in scenarios where the SUSY particles are so heavy that they escape direct
detection at the LHC and the first phase of the ILC.
| hep-ph | we review the physics potential of the gigaz option of the international linear collider ilc for probing the minimal supersymmetric standard model mssm via the sensitivity of the electroweak precision observables measured at the ilc to quantum corrections a particular focus is put on the effective leptonic weak mixing angle sin2_theta_eff the mssm predictions take into account the complete oneloop results including the full complex phase dependence all available mssm twoloop corrections as well as the full standard model sm results we find that the anticipated experimental accuracy at the ilc with gigaz option may resolve the virtual effects of susy particles even in scenarios where the susy particles are so heavy that they escape direct detection at the lhc and the first phase of the ilc | [['we', 'review', 'the', 'physics', 'potential', 'of', 'the', 'gigaz', 'option', 'of', 'the', 'international', 'linear', 'collider', 'ilc', 'for', 'probing', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'via', 'the', 'sensitivity', 'of', 'the', 'electroweak', 'precision', 'observables', 'measured', 'at', 'the', 'ilc', 'to', 'quantum', 'corrections', 'a', 'particular', 'focus', 'is', 'put', 'on', 'the', 'effective', 'leptonic', 'weak', 'mixing', 'angle', 'sin2_theta_eff', 'the', 'mssm', 'predictions', 'take', 'into', 'account', 'the', 'complete', 'oneloop', 'results', 'including', 'the', 'full', 'complex', 'phase', 'dependence', 'all', 'available', 'mssm', 'twoloop', 'corrections', 'as', 'well', 'as', 'the', 'full', 'standard', 'model', 'sm', 'results', 'we', 'find', 'that', 'the', 'anticipated', 'experimental', 'accuracy', 'at', 'the', 'ilc', 'with', 'gigaz', 'option', 'may', 'resolve', 'the', 'virtual', 'effects', 'of', 'susy', 'particles', 'even', 'in', 'scenarios', 'where', 'the', 'susy', 'particles', 'are', 'so', 'heavy', 'that', 'they', 'escape', 'direct', 'detection', 'at', 'the', 'lhc', 'and', 'the', 'first', 'phase', 'of', 'the', 'ilc']] | [-0.04626603521007512, 0.18936224962540327, -0.03704035432550997, 0.17569230940093153, -0.07969396437207858, -0.18083964174775968, 0.017658587713311944, 0.3066806337493102, -0.2233930436472985, -0.26893373232867035, 0.07197799378107968, -0.30387051448055974, -0.019291379263565417, 0.16289651492566226, 0.09011041263990577, 0.10547830042750797, 0.08415053056789533, -0.015158151453804402, -0.08387289770476017, -0.2616652692344764, 0.2187869957470823, 0.13780120302948895, 0.18559236823034192, 0.12255471740065822, 0.09385843540445739, 0.021358495016419697, -0.02800087298503116, -0.05084834751185207, -0.1268060955498229, 0.05819741831279345, 0.23260149809103164, 0.06680807024462238, 0.13554330309852958, -0.3821850608413418, -0.1571285239649966, 0.17065703440531496, 0.1089205441087307, 0.13566803156272583, -0.05772199964664492, -0.3144868044182658, 0.04278563243883943, -0.2290883052203479, -0.12165919617317351, -0.06371635114700193, -0.07384809556727608, -0.11500076807680584, -0.3063732347791157, 0.032653496244743035, -0.05552521858286733, 0.024597915310767434, 0.027366911619162514, -0.1773866562261468, -0.07567214525105166, 0.061041071064888486, 0.10795450766038682, -0.026967859298493418, 0.17034599634574815, -0.2212322521067801, -0.190616097914735, 0.4708175062394095, -0.08641245873970171, -0.16136025425992787, 0.16466854349155688, -0.23599993488899182, -0.15311504278176313, 0.11292499710347444, 0.2342262413751866, 0.05650301329747197, -0.1361586503307557, 0.2412148553592574, 0.005790813907330472, 0.144547111103459, 0.008341201549647228, 0.0645856416621615, 0.24326886785852295, 0.23091117980509315, 0.0458864588826333, 0.05329154586947952, -0.08776132931326708, -0.09338122990263241, -0.48779695140316137, -0.09804607401897628, -0.04246862373584586, -0.021593222786332408, -0.07781632115479119, -0.08811756029414634, 0.39847497680475785, 0.18590491822096594, 0.21609206417102425, 0.056077438262513, 0.368824466822728, 0.0810895828615194, 0.08459545063923875, -0.02987081138936836, 0.38105424156870754, 0.0475030035844871, 0.11814439357701867, -0.24561652511225215, 0.021325198922394997, 0.0793550445786899] |
711.0457 | Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on
the finite lattice | We continue our investigation of the Baxter-Bazhanov-Stroganov or
\tau^{(2)}-model using the method of separation of variables
[nlin/0603028,arXiv:0708.4342]. In this paper we derive for the first time the
factorized formula for form-factors of the Ising model on a finite lattice
conjectured previously by A.Bugrij and O.Lisovyy in
[arXiv:0708.3625,arXiv:0708.3643]. We also find the matrix elements of the spin
operator for the finite quantum Ising chain in a transverse field.
| nlin.SI cond-mat.stat-mech math-ph math.MP | we continue our investigation of the baxterbazhanovstroganov or tau2model using the method of separation of variables nlin0603028arxiv07084342 in this paper we derive for the first time the factorized formula for formfactors of the ising model on a finite lattice conjectured previously by abugrij and olisovyy in arxiv07083625arxiv07083643 we also find the matrix elements of the spin operator for the finite quantum ising chain in a transverse field | [['we', 'continue', 'our', 'investigation', 'of', 'the', 'baxterbazhanovstroganov', 'or', 'tau2model', 'using', 'the', 'method', 'of', 'separation', 'of', 'variables', 'nlin0603028arxiv07084342', 'in', 'this', 'paper', 'we', 'derive', 'for', 'the', 'first', 'time', 'the', 'factorized', 'formula', 'for', 'formfactors', 'of', 'the', 'ising', 'model', 'on', 'a', 'finite', 'lattice', 'conjectured', 'previously', 'by', 'abugrij', 'and', 'olisovyy', 'in', 'arxiv07083625arxiv07083643', 'we', 'also', 'find', 'the', 'matrix', 'elements', 'of', 'the', 'spin', 'operator', 'for', 'the', 'finite', 'quantum', 'ising', 'chain', 'in', 'a', 'transverse', 'field']] | [-0.11504997589462806, 0.16393534861327635, -0.08948116542564498, 0.03806704848021683, -0.011943796590443641, -0.08033975673514226, 0.052507571844635385, 0.34975129176699926, -0.22146675469250315, -0.2207656084478552, 0.07157628508173816, -0.24130395246994873, -0.13789271118695892, 0.15524584935638047, 0.04940064156812335, 0.07610200133381619, 0.023198845792591336, 0.06676981272915053, -0.12123548244643542, -0.2322548594739702, 0.332179429408695, -0.02688060875516385, 0.23650942955698287, 0.08132223573897684, 0.11375461346543735, 0.09063395696677386, 0.01631549583186233, 0.005370422458601376, -0.15204629561464703, 0.11035791978550454, 0.19640074899080134, 0.04638332171395185, 0.17948826018070418, -0.42321082535717225, -0.1782313874582686, 0.10145307343364471, 0.15827934337513788, 0.17633778967022423, -0.00785939782924418, -0.2636356873046016, 0.07864789890923671, -0.22249237696329752, -0.13971134159152235, -0.06556509739334976, 0.015030463560602612, 0.012266604954169856, -0.2907595556850235, 0.07673402187841323, 0.12104193729511092, 0.10550910114894606, -0.05509625709364339, -0.12992963625029438, 0.03308009958293821, 0.11236783729437443, 0.029764347175683176, 0.03139739743034754, 0.021455495433497524, -0.11473556518894694, -0.1559324993027581, 0.33873320199430934, -0.06787759330241926, -0.2113147090588297, 0.09703002337159382, -0.17340208198283874, -0.16638308229841411, 0.05082916017503492, 0.17199426435584586, 0.14867883320483896, -0.14964363009979328, 0.13754400664788952, -0.0619808580164635, 0.13120072811014122, -0.019167881828570175, -0.01779146465872015, 0.15724892313370392, 0.12578257896922648, 0.03843075241006556, 0.229068035821593, -0.06572979039305614, -0.12548498261631244, -0.326742439796882, -0.21737339040116657, -0.24024996867344256, 0.0601219006607102, -0.11006350319306847, -0.1950800046472559, 0.43005233138267485, 0.16789051821772788, 0.2008412837412112, 0.0843778753594037, 0.2250033789683902, 0.1538358006260491, 0.06568670834577273, 0.05430535788071297, 0.19408224760933543, 0.18262823077199597, 0.0851784738830276, -0.2577977073970177, -0.0032987410040010534, 0.15295060688541048] |
711.0458 | Bayesian finite mixtures: a note on prior specification and posterior
computation | A new method for the computation of the posterior distribution of the number
k of components in a finite mixture is presented. Two aspects of prior
specification are also studied: an argument is made for the use of a Poisson(1)
distribution as the prior for k; and methods are given for the selection of
hyperparameter values in the mixture of normals model, with natural conjugate
priors on the components parameters.
| stat.ME stat.CO | a new method for the computation of the posterior distribution of the number k of components in a finite mixture is presented two aspects of prior specification are also studied an argument is made for the use of a poisson1 distribution as the prior for k and methods are given for the selection of hyperparameter values in the mixture of normals model with natural conjugate priors on the components parameters | [['a', 'new', 'method', 'for', 'the', 'computation', 'of', 'the', 'posterior', 'distribution', 'of', 'the', 'number', 'k', 'of', 'components', 'in', 'a', 'finite', 'mixture', 'is', 'presented', 'two', 'aspects', 'of', 'prior', 'specification', 'are', 'also', 'studied', 'an', 'argument', 'is', 'made', 'for', 'the', 'use', 'of', 'a', 'poisson1', 'distribution', 'as', 'the', 'prior', 'for', 'k', 'and', 'methods', 'are', 'given', 'for', 'the', 'selection', 'of', 'hyperparameter', 'values', 'in', 'the', 'mixture', 'of', 'normals', 'model', 'with', 'natural', 'conjugate', 'priors', 'on', 'the', 'components', 'parameters']] | [-0.06957174346282863, 0.07641275901456222, -0.10896000714189764, 0.011410622476208686, -0.06197300005326237, -0.09540350873536174, 0.052380287074956344, 0.3972889262157074, -0.2475565386315187, -0.31606562875643157, 0.08716492687918893, -0.22752420690612515, -0.0699018064238455, 0.18556663440877869, -0.046660473144636824, 0.08737652779044752, 0.03372792533490861, 0.06074587612048439, -0.09027106935779254, -0.2437883202067536, 0.3438794647977836, 0.020019429006978222, 0.2701959494312388, -0.028107869587298752, 0.12616583111399002, 0.0066847593887992525, -0.03865977082455504, -0.02564180870472953, -0.12105150843390088, 0.14839826841447232, 0.21163634977478912, 0.1823126018465753, 0.29527846917483036, -0.32729672154654627, -0.2567439265312978, 0.10583328408445569, 0.09876377410862756, 0.06419323297703396, -0.015984273780528725, -0.22727516288126726, 0.0744453493937634, -0.15505675294654162, -0.10157843387645224, -0.08831339087877152, 0.028957394208165184, 0.052966986411669546, -0.34892951168011926, 0.04899548315670867, 0.09178243150961572, 0.08704808851083119, -0.048875540400436825, -0.22824336608628865, 0.005815465691620889, 0.11089433195825288, 0.056893697445469814, -0.025168005964192358, 0.10081043771967507, -0.1646715859896031, -0.08362431900130342, 0.3538341360247653, -0.0681426108720294, -0.2755307855921379, 0.1701084217056632, -0.05348108874876862, -0.15261309614162083, 0.10377561372529337, 0.17402028237078068, 0.15291601969469068, -0.14685731780701788, 0.09170144429831914, -0.04371598242964272, 0.13512636777823386, 0.010758036450631376, -0.04238978315117783, 0.19515983896680933, 0.16447103020829568, 0.06595859437505208, 0.14057517858843008, -0.11607177756335316, -0.08848425813451194, -0.33871151115475356, -0.17520158355751925, -0.23912632808197234, -0.0711280917107681, -0.13694117692669522, -0.21004127752899693, 0.3956933371128811, 0.1436549374509765, 0.27904499307328806, 0.06768400011503178, 0.30814253471359826, 0.09306728801912749, 0.025830162047961916, 0.041514008211484855, 0.16172378634413084, 0.15182777383513207, -0.003593889530748129, -0.1473911521902335, 0.13195616425946355, 0.025978882446129253] |
711.0459 | Rotating ground states of a one-dimensional spin-polarized gas of
fermionic atoms with attractive p-wave interactions on a mesoscopic ring | The major finding of this paper is that a one-dimensional spin-polarized gas
comprised of an even number of fermionic atoms interacting via attractive
p-wave interactions and confined to a mesoscopic ring has a degenerate pair of
ground states that are oppositely rotating. In any realization the gas will
thus spontaneously rotate one way or the other in spite of the fact that there
is no external rotation or bias fields. Our goal is to show that this
counter-intuitive finding is a natural consequence of the combined effects of
quantum statistics, ring topology, and exchange interactions.
| cond-mat.other | the major finding of this paper is that a onedimensional spinpolarized gas comprised of an even number of fermionic atoms interacting via attractive pwave interactions and confined to a mesoscopic ring has a degenerate pair of ground states that are oppositely rotating in any realization the gas will thus spontaneously rotate one way or the other in spite of the fact that there is no external rotation or bias fields our goal is to show that this counterintuitive finding is a natural consequence of the combined effects of quantum statistics ring topology and exchange interactions | [['the', 'major', 'finding', 'of', 'this', 'paper', 'is', 'that', 'a', 'onedimensional', 'spinpolarized', 'gas', 'comprised', 'of', 'an', 'even', 'number', 'of', 'fermionic', 'atoms', 'interacting', 'via', 'attractive', 'pwave', 'interactions', 'and', 'confined', 'to', 'a', 'mesoscopic', 'ring', 'has', 'a', 'degenerate', 'pair', 'of', 'ground', 'states', 'that', 'are', 'oppositely', 'rotating', 'in', 'any', 'realization', 'the', 'gas', 'will', 'thus', 'spontaneously', 'rotate', 'one', 'way', 'or', 'the', 'other', 'in', 'spite', 'of', 'the', 'fact', 'that', 'there', 'is', 'no', 'external', 'rotation', 'or', 'bias', 'fields', 'our', 'goal', 'is', 'to', 'show', 'that', 'this', 'counterintuitive', 'finding', 'is', 'a', 'natural', 'consequence', 'of', 'the', 'combined', 'effects', 'of', 'quantum', 'statistics', 'ring', 'topology', 'and', 'exchange', 'interactions']] | [-0.2217279083156762, 0.21661188262897715, -0.05727023160403692, 0.03139821598551383, -0.038300075521692636, -0.1428178770369605, 0.009927692214076064, 0.34509312804592285, -0.25938815337262655, -0.2623463095606942, 0.011411130999361998, -0.30084347083772484, -0.11367162242531777, 0.15227021959757334, 0.00954131009547334, -0.05036157322557349, 0.055724747523077225, 0.03913326284014865, -0.03207593677124303, -0.2339742448376982, 0.33472490803289573, 0.0010098821544823678, 0.25887799968844966, 0.04003063583452451, 0.06555472853054342, 0.013673745081024735, 0.07284355887064808, 0.035328854924361955, -0.05783085422253383, 0.11349556875402893, 0.21590342716264882, -0.004068792893208171, 0.24941245946837098, -0.4528820705256964, -0.16792714950677595, 0.1591237380120315, 0.18022579956971305, 0.1733945180539434, -0.12452219723184642, -0.2613656658483179, 0.02039399794057796, -0.17817761809565127, -0.1826373577215954, -0.059811052170239, 0.05339924904860948, 0.013153403649400723, -0.2544740313173909, 0.07762547767181929, 0.1153074364190137, 0.049777247246943025, -0.019922792830038817, -0.03252197456006941, -0.03716764565018055, 0.0853289774226907, 0.02672411239656963, 0.07417948955277863, 0.15244498813500335, -0.1611284256820861, -0.10778776019027358, 0.4073274441847676, -0.07389509044587612, -0.18127869223489573, 0.2652367945074251, -0.1331452692074603, -0.1055143207948851, 0.13817452835409264, 0.10821407648097528, 0.07100624034279271, -0.13938815145214137, 0.06944113831452438, -0.11999233105023832, 0.16367774012369887, 0.045777600802677246, 0.04905731335257817, 0.3079302870129284, 0.15357454332130913, 0.0904632211619939, 0.14807734017468696, -0.06702683329778282, -0.12066010886950321, -0.28253339568251057, -0.17984607827016397, -0.21306249694408555, 0.07063282223075236, 0.008521315646909276, -0.16664526896845352, 0.36137904458630243, 0.13913732124982695, 0.19107954210944866, -0.04611412833787893, 0.3075519380992965, 0.07715491586928501, 0.07056575885140583, 0.04121501205341988, 0.24227617269283847, 0.14539812299864072, 0.00932565509635759, -0.23712941508397067, 0.03462206560407618, -0.01500436091109326] |
711.046 | Terahertz sensing by beryllium and silicon delta-doped GaAs/AlAs quantum
wells | Selective sensing of terahertz (THz) radiation by beryllium and silicon
delta-doped GaAs/AlAs multiple quantum wells (MQWs) is demonstrated. A
sensitivity up to 0.3 V/W within 0.5{4.2 THz in silicon- and up to 1 V/W within
4.2-7.3 THz range in beryllium-doped MQWs at liquid helium temperatures is
shown. The built-in electric fields as estimated from the observed
Franz-Keldysh oscillations in photoreflectance spectra were found to be located
close to the cap and buffer layers of MQWs and vary from 18 kV/cm up to 49
kV/cm depending on the structure design.
| cond-mat.mtrl-sci | selective sensing of terahertz thz radiation by beryllium and silicon deltadoped gaasalas multiple quantum wells mqws is demonstrated a sensitivity up to 03 vw within 0542 thz in silicon and up to 1 vw within 4273 thz range in berylliumdoped mqws at liquid helium temperatures is shown the builtin electric fields as estimated from the observed franzkeldysh oscillations in photoreflectance spectra were found to be located close to the cap and buffer layers of mqws and vary from 18 kvcm up to 49 kvcm depending on the structure design | [['selective', 'sensing', 'of', 'terahertz', 'thz', 'radiation', 'by', 'beryllium', 'and', 'silicon', 'deltadoped', 'gaasalas', 'multiple', 'quantum', 'wells', 'mqws', 'is', 'demonstrated', 'a', 'sensitivity', 'up', 'to', '03', 'vw', 'within', '0542', 'thz', 'in', 'silicon', 'and', 'up', 'to', '1', 'vw', 'within', '4273', 'thz', 'range', 'in', 'berylliumdoped', 'mqws', 'at', 'liquid', 'helium', 'temperatures', 'is', 'shown', 'the', 'builtin', 'electric', 'fields', 'as', 'estimated', 'from', 'the', 'observed', 'franzkeldysh', 'oscillations', 'in', 'photoreflectance', 'spectra', 'were', 'found', 'to', 'be', 'located', 'close', 'to', 'the', 'cap', 'and', 'buffer', 'layers', 'of', 'mqws', 'and', 'vary', 'from', '18', 'kvcm', 'up', 'to', '49', 'kvcm', 'depending', 'on', 'the', 'structure', 'design']] | [-0.05654469238652382, 0.23186308667804537, 0.03629187427842143, -0.06940482581425882, 0.06323936363597485, -0.17179553885415028, 0.08005170986342075, 0.47734206555072556, -0.26236638316715305, -0.38966565807244147, -0.011373181360382163, -0.3045274442040615, -0.03803878216686743, 0.24901678726415744, -0.003295392454178496, 0.02837284631624987, -0.052423652276047505, -0.07011096806342142, -0.06425504991784692, -0.16792482272880574, 0.14086224432949992, 0.07440290588816754, 0.29103501033122564, 0.06987680880014192, 0.0925174469732817, -0.08535877279725602, 0.10487657262605023, -0.06623796823392199, -0.13060646383134802, 0.013700494690882888, 0.3132403530709615, -0.10972817513075742, 0.20068314178603364, -0.41346049602990126, -0.19457499069077047, -0.03745475228325548, 0.11631969182582741, 0.06553244750565765, -0.07054340777077331, -0.2750953394782052, 0.1251407101200047, -0.1200215386713601, -0.07061730402026777, 0.03288912550884892, 0.028943686730186033, 0.026373372508136195, -0.2551092380870779, 0.023191437654366546, -0.050322098067474806, 0.07154896777832288, -0.08834332125578923, -0.17277400399854576, -0.02874169769083065, 0.02340492199238559, -0.04812096022810279, 0.09058202514213255, 0.2606820376928557, -0.056480688635598526, -0.08575772248547185, 0.3503747263457626, -0.1073232445844703, -0.012977875499266454, 0.1680372467195742, -0.22582334380025382, 0.009766441552942111, 0.23708386983013374, 0.15175113811379892, 0.10643944981711684, -0.15840973297665847, 0.061309977289056405, 0.07624774898233061, 0.24104572300248864, 0.20682621910501356, 0.08303215635136109, 0.2550213280694813, 0.1591450999363918, 0.0020931934599171986, 0.11193054134888701, -0.20964222443977965, 0.012247741561044346, -0.18471210920423883, -0.11214121715271506, -0.15453403543638575, 0.11185473848970352, -0.056692383283172436, -0.1304004106638207, 0.3752496819460331, 0.15338900801725686, 0.12909501563196749, -0.07539296354728074, 0.22646493449891833, 0.08588311567092949, 0.1366296753827059, 0.0171734909738668, 0.33032613374631514, 0.23104864289581944, 0.1390382954903709, -0.19515754564517093, -0.04219836211466992, -0.10115083899687637] |
711.0461 | The Boson Peak and its Relation with Acoustic Attenuation in Glasses | Experimental results on the density of states and on the acoustic modes of
glasses in the THz region are compared to the predictions of two categories of
models. A recent one, solely based on an elastic instability, does not account
for most observations. Good agreement without adjustable parameters is obtained
with models including the existence of non-acoustic vibrational modes at THz
frequency, providing in many cases a comprehensive picture for a range of glass
anomalies.
| cond-mat.dis-nn cond-mat.mtrl-sci | experimental results on the density of states and on the acoustic modes of glasses in the thz region are compared to the predictions of two categories of models a recent one solely based on an elastic instability does not account for most observations good agreement without adjustable parameters is obtained with models including the existence of nonacoustic vibrational modes at thz frequency providing in many cases a comprehensive picture for a range of glass anomalies | [['experimental', 'results', 'on', 'the', 'density', 'of', 'states', 'and', 'on', 'the', 'acoustic', 'modes', 'of', 'glasses', 'in', 'the', 'thz', 'region', 'are', 'compared', 'to', 'the', 'predictions', 'of', 'two', 'categories', 'of', 'models', 'a', 'recent', 'one', 'solely', 'based', 'on', 'an', 'elastic', 'instability', 'does', 'not', 'account', 'for', 'most', 'observations', 'good', 'agreement', 'without', 'adjustable', 'parameters', 'is', 'obtained', 'with', 'models', 'including', 'the', 'existence', 'of', 'nonacoustic', 'vibrational', 'modes', 'at', 'thz', 'frequency', 'providing', 'in', 'many', 'cases', 'a', 'comprehensive', 'picture', 'for', 'a', 'range', 'of', 'glass', 'anomalies']] | [-0.12178056532517076, 0.11598806261570038, -0.06246996903792024, 0.001082790067108969, -0.04714885433514913, -0.0958002497566243, 0.038175628061095875, 0.38061924022932847, -0.15352250814593085, -0.28756915032863617, 0.09151448215978841, -0.31868547946214676, -0.08357256713633736, 0.2683221757908662, 0.0036573657979412626, 0.04896173276783278, 0.07453630018979311, 0.018791807082792125, -0.03838662954668204, -0.1295484532089904, 0.2795295126611988, 0.05862513973067204, 0.3268614166726669, 0.06024073286447674, 0.06848012578984101, -0.0152364683834215, 0.008495168990145126, 0.009507448362977206, -0.15456260801603397, 0.09750901360918457, 0.25890519261796724, 0.0227122073698168, 0.20934564371903738, -0.4540055019160112, -0.2983130647987127, 0.058913640764852365, 0.10980395653285085, 0.14540012028689187, -0.03368773947004229, -0.2548006839615603, 0.05317731243868669, -0.1160467622304956, -0.08893931731581688, -0.0734435788168533, 0.0010217308346182107, 0.016920855554441613, -0.29236717459435263, 0.09448874448115627, 0.018380725495517253, 0.08172229561954737, -0.15319417940142255, -0.1449981088191271, -0.018820489840582013, 0.08714632531007131, 0.04138254511790971, -0.008857846564302841, 0.11326754140667618, -0.1840533841215074, -0.12788673212130863, 0.3823414141188065, -0.06466065426667532, -0.13969127825150887, 0.2489108919755866, -0.14449589462329945, -0.09719740288332104, 0.14953341068079073, 0.12708132481823364, 0.09167208602651954, -0.09345132360079636, 0.015335341467677305, -0.023644222787891824, 0.2116519521207859, 0.03579688932125767, 0.07677274363649, 0.24919593061010042, 0.19693887073546648, -0.03015479671070352, 0.07684224291704594, -0.07022514257890483, -0.06350727083161473, -0.31643913676341373, -0.06916184219221275, -0.18640444273749987, -0.023902780298570483, -0.08215748793115685, -0.1521107955276966, 0.4581023277963201, 0.13418906210300824, 0.22228122142453988, 0.04644722515096267, 0.28614385647078355, 0.07635308163861433, 0.07902211827536423, 0.015959857745716968, 0.3240267200830082, 0.14153619947532814, 0.07269326987986763, -0.1994291171617806, 0.046003596119893096, -0.0004610716768850883] |
711.0462 | Perfect many-to-one teleportation with stabilizer states | We study the possibility of performing perfect teleportation of unknown
quantum states from multiple senders to a single receiver with a previously
shared stabilizer state. In the model we considered, the utilized stabilizer
state is partitioned into several subsystems and then each subsystem is
distributed to a distinct party. We present two sufficient conditions for a
stabilizer state to achieve a given nonzero teleportation capacity with respect
to a given partition plan. The corresponding teleportation protocols are also
explicitly given. Interestingly, we find that even mixed stabilizer states are
also useful for perfect many-to-one teleportation. Finally, our work provides a
new perspective from stabilizer formalism to view the standard teleportation
protocol and also suggests a new technique for analyzing teleportation
capability of multipartite entangled states.
| quant-ph | we study the possibility of performing perfect teleportation of unknown quantum states from multiple senders to a single receiver with a previously shared stabilizer state in the model we considered the utilized stabilizer state is partitioned into several subsystems and then each subsystem is distributed to a distinct party we present two sufficient conditions for a stabilizer state to achieve a given nonzero teleportation capacity with respect to a given partition plan the corresponding teleportation protocols are also explicitly given interestingly we find that even mixed stabilizer states are also useful for perfect manytoone teleportation finally our work provides a new perspective from stabilizer formalism to view the standard teleportation protocol and also suggests a new technique for analyzing teleportation capability of multipartite entangled states | [['we', 'study', 'the', 'possibility', 'of', 'performing', 'perfect', 'teleportation', 'of', 'unknown', 'quantum', 'states', 'from', 'multiple', 'senders', 'to', 'a', 'single', 'receiver', 'with', 'a', 'previously', 'shared', 'stabilizer', 'state', 'in', 'the', 'model', 'we', 'considered', 'the', 'utilized', 'stabilizer', 'state', 'is', 'partitioned', 'into', 'several', 'subsystems', 'and', 'then', 'each', 'subsystem', 'is', 'distributed', 'to', 'a', 'distinct', 'party', 'we', 'present', 'two', 'sufficient', 'conditions', 'for', 'a', 'stabilizer', 'state', 'to', 'achieve', 'a', 'given', 'nonzero', 'teleportation', 'capacity', 'with', 'respect', 'to', 'a', 'given', 'partition', 'plan', 'the', 'corresponding', 'teleportation', 'protocols', 'are', 'also', 'explicitly', 'given', 'interestingly', 'we', 'find', 'that', 'even', 'mixed', 'stabilizer', 'states', 'are', 'also', 'useful', 'for', 'perfect', 'manytoone', 'teleportation', 'finally', 'our', 'work', 'provides', 'a', 'new', 'perspective', 'from', 'stabilizer', 'formalism', 'to', 'view', 'the', 'standard', 'teleportation', 'protocol', 'and', 'also', 'suggests', 'a', 'new', 'technique', 'for', 'analyzing', 'teleportation', 'capability', 'of', 'multipartite', 'entangled', 'states']] | [-0.15094303255341948, 0.15455238012876363, -0.11352761731483042, 0.025248138109222055, -0.006250487925484776, -0.2993163426220417, 0.11487767928466201, 0.3833743860945106, -0.28184911788627504, -0.25244601707765835, 0.02707436304260045, -0.23365505400300027, -0.0983262147884816, 0.187054501472041, -0.0985918079894036, 0.13771783024445175, 0.10235743936523795, 0.07587131012231112, -0.06859874777309596, -0.25751055289804936, 0.32481887959036976, 0.029106907718814908, 0.30066832920908926, 0.01222165972366929, 0.1070077717024833, 1.2869024649262428e-06, 0.04806383609212935, -0.01534986298531294, -0.11174796695105033, 0.09749467291636392, 0.30103229960799216, 0.17831377374753357, 0.22791952444426716, -0.3976231891363859, -0.20834740295261145, 0.11919935922697186, 0.08427206079661846, 0.21086213591694833, -0.04256388195604086, -0.3178027580529451, 0.07342257401719689, -0.2387312100827694, -0.06007131837308407, -0.08630779894068837, -0.031562383776530624, -0.10807129235751926, -0.30767487328499554, 0.034763288730056956, 0.0338460929854773, 0.00906863671913743, -0.02952464634552598, -0.07310325216315687, 0.005540846098214388, 0.1704040414560586, -0.12928369628358632, -0.0007582725090906024, 0.10464485391974448, -0.10688616130501032, -0.18453800588520244, 0.3220970877483487, -0.01239674966270104, -0.24560486997663974, 0.1466156520769, -0.05527996617555618, -0.155867733836174, 0.03920230633020401, 0.12755309963040054, 0.0998092310577631, -0.14102269467711448, 0.008249423320405186, -0.0724404975026846, 0.18977380264177918, 0.03295308630168438, 0.1533214382790029, 0.16233844604343176, 0.06926493375748397, 0.10473262075707317, 0.26005700609460475, -0.05435229247063399, -0.15270363840088247, -0.35337264107586813, -0.215653010753711, -0.2333411908298731, 0.08440124145150185, -0.04263927036873065, -0.09377428379468619, 0.43907931372523307, 0.13133565036207437, 0.13869367370381952, 0.041198123928159476, 0.3048385038077831, 0.0435069314786233, 0.008233040310442448, 0.14270272070169449, 0.1875999671369791, 0.1656237589418888, 0.006286088138818741, -0.1893813411016017, 0.05939608532935381, -0.004426711264997721] |
711.0463 | On the structure and representations of the insertion-elimination Lie
algebra | We examine the structure of the insertion-elimination Lie algebra on rooted
trees introduced in \cite{CK}. It possesses a triangular structure $\g = \n_+
\oplus \mathbb{C}.d \oplus \n_-$, like the Heisenberg, Virasoro, and affine
algebras. We show in particular that it is simple, which in turn implies that
it has no finite-dimensional representations. We consider a category of
lowest-weight representations, and show that irreducible representations are
uniquely determined by a "lowest weight" $\lambda \in \mathbb{C}$. We show that
each irreducible representation is a quotient of a Verma-type object, which is
generically irreducible.
| math.QA math.RT | we examine the structure of the insertionelimination lie algebra on rooted trees introduced in citeck it possesses a triangular structure g n_ oplus mathbbcd oplus n_ like the heisenberg virasoro and affine algebras we show in particular that it is simple which in turn implies that it has no finitedimensional representations we consider a category of lowestweight representations and show that irreducible representations are uniquely determined by a lowest weight lambda in mathbbc we show that each irreducible representation is a quotient of a vermatype object which is generically irreducible | [['we', 'examine', 'the', 'structure', 'of', 'the', 'insertionelimination', 'lie', 'algebra', 'on', 'rooted', 'trees', 'introduced', 'in', 'citeck', 'it', 'possesses', 'a', 'triangular', 'structure', 'g', 'n_', 'oplus', 'mathbbcd', 'oplus', 'n_', 'like', 'the', 'heisenberg', 'virasoro', 'and', 'affine', 'algebras', 'we', 'show', 'in', 'particular', 'that', 'it', 'is', 'simple', 'which', 'in', 'turn', 'implies', 'that', 'it', 'has', 'no', 'finitedimensional', 'representations', 'we', 'consider', 'a', 'category', 'of', 'lowestweight', 'representations', 'and', 'show', 'that', 'irreducible', 'representations', 'are', 'uniquely', 'determined', 'by', 'a', 'lowest', 'weight', 'lambda', 'in', 'mathbbc', 'we', 'show', 'that', 'each', 'irreducible', 'representation', 'is', 'a', 'quotient', 'of', 'a', 'vermatype', 'object', 'which', 'is', 'generically', 'irreducible']] | [-0.190401075104398, 0.12006191147512264, -0.08730294682763078, 0.018895365486151717, -0.1272495086043236, -0.12359890544242906, -0.06427574528151014, 0.4148497713750668, -0.333108224403741, -0.12979771935360065, 0.09568754077909954, -0.2394284740263031, -0.20873234586350703, 0.13336535981657466, -0.09771932615490442, -0.10417679605189334, 0.1038622029813718, 0.1954143285343235, -0.10390574883230114, -0.23010862890494924, 0.3697260501166659, -0.05273735362073679, 0.22665995518478116, -0.00823308728907383, 0.19725087965221216, 0.02009475603699684, 0.05805243556963259, -0.03646414674651087, -0.14289307498583687, 0.10643715800761946, 0.31521490668312885, 0.06048166384564692, 0.16290489311481754, -0.30797363585384374, -0.11463212770190132, 0.23682081519908618, 0.1921765173241245, 0.0007425056576854393, -0.0014751928222752856, -0.2528948766608419, 0.10041932202090792, -0.23352235308691358, -0.07582970982250035, -0.09179896036728044, 0.08294748524831755, -0.08886217801528198, -0.25319048677168243, 0.025675092970303605, 0.11717185712408985, 0.0698548248220821, -0.08237847978291049, -0.14396632027425124, -0.12982665942563268, 0.056293591998224514, -0.10754556189359198, 0.05254099131928066, 0.07063476082586338, -0.12691268752318588, -0.11862973549685786, 0.3986611348691951, -0.017461533284107787, -0.26171959816900686, 0.12020262233452515, -0.1989788132238338, -0.2244210103579033, 0.07596797594444805, 0.05716779834873388, 0.10415064342832717, -0.015233275586519433, 0.25568651716523083, -0.20402909724926052, 0.0777659605393249, 0.08336984821898716, -0.015843625186963445, 0.171113857402979, 0.11004643630252084, 0.05322003245269984, 0.13119672078199768, 0.053344478985043554, 0.000662934390848942, -0.32902881430901504, -0.1659776997135094, -0.13437537049738627, 0.12529132610417149, -0.1148657752406977, -0.15555416822977616, 0.39188639970307937, 0.11223715600777376, 0.25158464744310366, 0.09451436306077861, 0.1701986221570438, 0.11304139693626046, 0.1369644945874559, 0.10328663541841206, 0.11598360188975093, 0.21818384344250047, -0.10009614615230246, -0.14948114483444586, -0.04571846064560774, 0.20105697947104326] |
711.0464 | Hypergeometric Systems in two Variables, Quivers, Dimers and Dessins
d'Enfants | This paper presents some parallel developments in Quiver/Dimer Models,
Hypergeometric Systems and Dessins d'Enfants. The setting in which Gelfand,
Kapranov and Zelevinsky have formulated the theory of hypergeometric systems,
provides also a natural setting for dimer models. The Fast Inverse Algorithm,
the untwisting procedure and the Kasteleyn matrix for dimer models are recasted
in this setting. There is a relation between triangulations in GKZ theory and
some perfect matchings in the dimer models, so that the secondary polygon
coincides with the Newton polygon of the Kasteleyn determinant. Finally it is
observed in examples and conjectured to hold in general, that the determinant
of the Kasteleyn matrix with suitable weights becomes after a simple
transformation equal to the principal A-determinant in GKZ theory.
| math.AG hep-th | this paper presents some parallel developments in quiverdimer models hypergeometric systems and dessins denfants the setting in which gelfand kapranov and zelevinsky have formulated the theory of hypergeometric systems provides also a natural setting for dimer models the fast inverse algorithm the untwisting procedure and the kasteleyn matrix for dimer models are recasted in this setting there is a relation between triangulations in gkz theory and some perfect matchings in the dimer models so that the secondary polygon coincides with the newton polygon of the kasteleyn determinant finally it is observed in examples and conjectured to hold in general that the determinant of the kasteleyn matrix with suitable weights becomes after a simple transformation equal to the principal adeterminant in gkz theory | [['this', 'paper', 'presents', 'some', 'parallel', 'developments', 'in', 'quiverdimer', 'models', 'hypergeometric', 'systems', 'and', 'dessins', 'denfants', 'the', 'setting', 'in', 'which', 'gelfand', 'kapranov', 'and', 'zelevinsky', 'have', 'formulated', 'the', 'theory', 'of', 'hypergeometric', 'systems', 'provides', 'also', 'a', 'natural', 'setting', 'for', 'dimer', 'models', 'the', 'fast', 'inverse', 'algorithm', 'the', 'untwisting', 'procedure', 'and', 'the', 'kasteleyn', 'matrix', 'for', 'dimer', 'models', 'are', 'recasted', 'in', 'this', 'setting', 'there', 'is', 'a', 'relation', 'between', 'triangulations', 'in', 'gkz', 'theory', 'and', 'some', 'perfect', 'matchings', 'in', 'the', 'dimer', 'models', 'so', 'that', 'the', 'secondary', 'polygon', 'coincides', 'with', 'the', 'newton', 'polygon', 'of', 'the', 'kasteleyn', 'determinant', 'finally', 'it', 'is', 'observed', 'in', 'examples', 'and', 'conjectured', 'to', 'hold', 'in', 'general', 'that', 'the', 'determinant', 'of', 'the', 'kasteleyn', 'matrix', 'with', 'suitable', 'weights', 'becomes', 'after', 'a', 'simple', 'transformation', 'equal', 'to', 'the', 'principal', 'adeterminant', 'in', 'gkz', 'theory']] | [-0.11335610136128038, 0.06638903897409597, -0.09629488087544018, 0.110261211833678, -0.06888262424156193, -0.1839362895501054, 0.0069479633041865324, 0.35260525710634455, -0.29296184831475913, -0.2281950266054285, 0.0701648714752052, -0.27513502155669217, -0.2668019139019326, 0.16760869703663528, -0.1262528038112743, 0.03716027555113643, 0.06001318131057807, 0.06398683362678925, -0.11142281546499888, -0.29917626637842293, 0.31660619899553577, 0.025245452084201425, 0.2435384872254015, 0.04445242444976918, 0.09081215526853796, 0.04550626295934285, 0.023497448218139736, -0.03103868718343702, -0.12326648787555404, 0.1452311989004639, 0.29015825608562895, 0.11139731179953606, 0.19216185143171263, -0.3934648780937284, -0.14062982194427756, 0.14608953085781867, 0.12935935125940226, 0.08050835904884653, 0.004065554835333312, -0.20977142945794033, 0.0372426089030221, -0.16255205178903684, -0.17411171319348015, -0.05454211431547753, 0.039669308542035334, 0.0008138411732251979, -0.26723517031862964, 0.0549400796658157, 0.0984895500731616, 0.07191680401394313, -0.03318072624181297, -0.1188783368205436, 0.015992111033829283, 0.04087576661874687, 0.015365558418576137, 0.01996329340752799, 0.026580149655168767, -0.1312269462264828, -0.14743579135176318, 0.3796487715526307, 0.007886746880494459, -0.20963730560211571, 0.12438161451463811, -0.10418171016884244, -0.18489492775041086, 0.09766737113837615, 0.07015871318164936, 0.1533402299339121, -0.08712399794820173, 0.147821588908834, -0.13166741315614094, 0.07191965915262699, 0.09850642233240334, -0.04938773075570853, 0.18538041636809582, 0.08645829699032993, 0.030629908413941826, 0.1906501495448703, 0.02548748414101433, -0.16252924925224346, -0.2896127274783313, -0.17649196126413616, -0.1754279167202305, 0.03230918459940609, -0.14069134360580987, -0.20833871052561959, 0.3756410197993694, 0.0978385102434838, 0.18817997054958885, 0.10527456687928816, 0.22338993412496383, 0.13743281972109656, 0.049355866291275446, 0.0422011393349433, 0.14198778481424731, 0.2598375775658887, 0.07978506269383683, -0.1810393544252623, -0.008392709742246334, 0.20848582862022003] |
711.0465 | Generic Properties of Homogeneous Ricci Solitons | We discuss the geometry of homogeneous Ricci solitons. After showing the
nonexistence of compact homogeneous and noncompact steady homogeneous solitons,
we concentrate on the study of left invariant Ricci solitons. We show that, in
the unimodular case, the Ricci soliton equation does not admit solutions in the
set of left invariant vector fields. We prove that a left invariant soliton of
gradient type must be a Riemannian product with a nontrivial Euclidean de Rham
factor. As an application of our results we prove that any generalized metric
Heisenberg Lie group is a nongradient left invariant Ricci soliton of expanding
type.
| math.DG | we discuss the geometry of homogeneous ricci solitons after showing the nonexistence of compact homogeneous and noncompact steady homogeneous solitons we concentrate on the study of left invariant ricci solitons we show that in the unimodular case the ricci soliton equation does not admit solutions in the set of left invariant vector fields we prove that a left invariant soliton of gradient type must be a riemannian product with a nontrivial euclidean de rham factor as an application of our results we prove that any generalized metric heisenberg lie group is a nongradient left invariant ricci soliton of expanding type | [['we', 'discuss', 'the', 'geometry', 'of', 'homogeneous', 'ricci', 'solitons', 'after', 'showing', 'the', 'nonexistence', 'of', 'compact', 'homogeneous', 'and', 'noncompact', 'steady', 'homogeneous', 'solitons', 'we', 'concentrate', 'on', 'the', 'study', 'of', 'left', 'invariant', 'ricci', 'solitons', 'we', 'show', 'that', 'in', 'the', 'unimodular', 'case', 'the', 'ricci', 'soliton', 'equation', 'does', 'not', 'admit', 'solutions', 'in', 'the', 'set', 'of', 'left', 'invariant', 'vector', 'fields', 'we', 'prove', 'that', 'a', 'left', 'invariant', 'soliton', 'of', 'gradient', 'type', 'must', 'be', 'a', 'riemannian', 'product', 'with', 'a', 'nontrivial', 'euclidean', 'de', 'rham', 'factor', 'as', 'an', 'application', 'of', 'our', 'results', 'we', 'prove', 'that', 'any', 'generalized', 'metric', 'heisenberg', 'lie', 'group', 'is', 'a', 'nongradient', 'left', 'invariant', 'ricci', 'soliton', 'of', 'expanding', 'type']] | [-0.24111881956458092, 0.11810176374288858, -0.11699129706248641, 0.0777932953054551, -0.15810668559744953, -0.1536892453627661, -0.11911816355772316, 0.3749371901527047, -0.2456063463538885, -0.1126154070533812, 0.15076105074957014, -0.2539435231499374, -0.15144584280904383, 0.14506046868627892, -0.07620118810795247, -0.020331475399434567, 0.05679557199589908, 0.1599769074143842, -0.10451868994394317, -0.2533002788177691, 0.49100623665377496, -0.07559237947338261, 0.2477968772407621, 0.07886303946375847, 0.1605377665022388, -0.07224630597047507, 0.013117313890252263, 0.013064111722633243, -0.23959651699165987, 0.0579841730510816, 0.19509139072149992, 0.06214856559410691, 0.18443641346413642, -0.3793097341991961, -0.2193600843846798, 0.2169553223485127, 0.17605917427688836, 0.08036053704287043, -0.08868097022292204, -0.365440542770084, 0.11137043996714055, -0.11095946473069489, -0.22002819983987137, -0.07983220278751105, 0.008142420505173505, 0.03936195568880066, -0.17027161851408892, 0.11311750038061291, 0.15561657560640016, 0.017995130913332106, -0.13490895013790577, -0.03360556648578495, -0.08545569970970973, 0.018784689428284766, 0.02098691317019984, 0.03545532527146861, 0.0876146275503561, -0.0928775978833437, -0.10993789616040886, 0.35470019541680814, -0.21121729192323982, -0.29383296547457577, 0.09519365903222933, -0.11114540516864509, -0.11724370423704386, 0.055844497894868256, 0.13387496294919402, 0.20023044988512992, -0.0352554093580693, 0.18733638707606587, -0.10670462021138519, 0.10603193670511246, 0.13391505871433765, -0.009814721089787782, 0.13447680324548855, 0.09940866102464498, 0.17542935367207974, 0.12072979442891665, 0.05485616361023858, -0.11121149662882089, -0.3733458541333675, -0.21279294211417438, -0.13120584841817617, 0.2049413065823319, -0.1596496561447566, -0.21095384215004742, 0.40158664613962175, -0.016668379525654017, 0.16792586007621138, 0.09116270278580486, 0.18230286586796865, 0.06907085381579237, 0.019392112214118244, 0.18381204745499416, 0.20402330718934536, 0.20341372408904135, 0.07065351034048944, -0.15740521608386188, -0.14654911105055363, 0.1751043565198779] |
711.0466 | A Model for Dark Matter Halos | A halo model is presented which possesses a constant phase space density (Q)
core followed by a radial CDM-like power law decrease in Q. The motivation for
the core is the allowance for a possible primordial phase space density limit
such as the Tremaine-Gunn upper bound. The space density profile derived from
this model has a constant density core and falls off rapidly beyond. The new
model is shown to improve the fits to the observations of LSB galaxy rotation
curves, naturally provides a model which has been shown to result in a
lengthened dynamical friction time scale for the Fornax dwarf spheroidal galaxy
and predicts a flattening of the density profile within the Einstein radius of
galaxy clusters. A constant gas entropy floor is predicted whose adiabatic
constant provides a lower limit in accord with observed galaxy cluster values.
While `observable-sized' cores are not seen in standard cold dark matter (CDM)
simulations, phase space considerations suggest that they could appear in warm
dark matter (WDM) cosmological simulations and in certain hierarchically
consistent SuperWIMP scenarios.
| astro-ph | a halo model is presented which possesses a constant phase space density q core followed by a radial cdmlike power law decrease in q the motivation for the core is the allowance for a possible primordial phase space density limit such as the tremainegunn upper bound the space density profile derived from this model has a constant density core and falls off rapidly beyond the new model is shown to improve the fits to the observations of lsb galaxy rotation curves naturally provides a model which has been shown to result in a lengthened dynamical friction time scale for the fornax dwarf spheroidal galaxy and predicts a flattening of the density profile within the einstein radius of galaxy clusters a constant gas entropy floor is predicted whose adiabatic constant provides a lower limit in accord with observed galaxy cluster values while observablesized cores are not seen in standard cold dark matter cdm simulations phase space considerations suggest that they could appear in warm dark matter wdm cosmological simulations and in certain hierarchically consistent superwimp scenarios | [['a', 'halo', 'model', 'is', 'presented', 'which', 'possesses', 'a', 'constant', 'phase', 'space', 'density', 'q', 'core', 'followed', 'by', 'a', 'radial', 'cdmlike', 'power', 'law', 'decrease', 'in', 'q', 'the', 'motivation', 'for', 'the', 'core', 'is', 'the', 'allowance', 'for', 'a', 'possible', 'primordial', 'phase', 'space', 'density', 'limit', 'such', 'as', 'the', 'tremainegunn', 'upper', 'bound', 'the', 'space', 'density', 'profile', 'derived', 'from', 'this', 'model', 'has', 'a', 'constant', 'density', 'core', 'and', 'falls', 'off', 'rapidly', 'beyond', 'the', 'new', 'model', 'is', 'shown', 'to', 'improve', 'the', 'fits', 'to', 'the', 'observations', 'of', 'lsb', 'galaxy', 'rotation', 'curves', 'naturally', 'provides', 'a', 'model', 'which', 'has', 'been', 'shown', 'to', 'result', 'in', 'a', 'lengthened', 'dynamical', 'friction', 'time', 'scale', 'for', 'the', 'fornax', 'dwarf', 'spheroidal', 'galaxy', 'and', 'predicts', 'a', 'flattening', 'of', 'the', 'density', 'profile', 'within', 'the', 'einstein', 'radius', 'of', 'galaxy', 'clusters', 'a', 'constant', 'gas', 'entropy', 'floor', 'is', 'predicted', 'whose', 'adiabatic', 'constant', 'provides', 'a', 'lower', 'limit', 'in', 'accord', 'with', 'observed', 'galaxy', 'cluster', 'values', 'while', 'observablesized', 'cores', 'are', 'not', 'seen', 'in', 'standard', 'cold', 'dark', 'matter', 'cdm', 'simulations', 'phase', 'space', 'considerations', 'suggest', 'that', 'they', 'could', 'appear', 'in', 'warm', 'dark', 'matter', 'wdm', 'cosmological', 'simulations', 'and', 'in', 'certain', 'hierarchically', 'consistent', 'superwimp', 'scenarios']] | [-0.12278913944088533, 0.14934214570120663, -0.16119623174302108, 0.10577167706475754, -0.07212839371273187, -0.0915796643426781, 0.023643630388829773, 0.3244050196010684, -0.1863686946145762, -0.3477907494866642, 0.04613708627233603, -0.23229185133722835, -0.04787298228896769, 0.1722220611529714, -0.012526442461390177, 0.038695811187723334, -0.0029696862075488544, 0.008396083609490046, -0.06410985304565897, -0.24183138294129408, 0.27618530884401166, 0.09554309655655303, 0.2168743808850132, -0.021014938032623894, 0.06148573717680471, -0.09998796018236585, -0.03341287848052579, 0.006260899440840358, -0.18279986967348216, 0.009230704195650252, 0.20455923228492512, 0.10133486391639272, 0.21793634497196596, -0.38563073959586947, -0.29579257980609935, 0.11702500689432196, 0.20288806816231159, 0.08338092000728163, -0.10240912926517128, -0.25631001532270475, 0.045523917916345934, -0.22238346775619036, -0.19120875751631783, 0.006944711285311429, 0.05595631331697792, -0.010856265927753251, -0.24175683181631197, 0.17680303071727227, 0.022481197051552725, -0.046350042016048726, -0.10260802548881834, -0.10827505521090894, -0.04388743744435153, 0.011922407580871435, 0.027151563022507826, 0.07345965446037209, 0.21242628326296978, -0.14187249695834028, 0.015525211157255817, 0.44364288683723785, -0.13609730802548664, -0.06170516038827341, 0.1560285040164024, -0.17319429993104918, -0.13876870855817508, 0.11436620682488656, 0.12154794483306422, 0.03132238765950509, -0.08494408371130369, 0.11781372062376186, -0.05101253230783061, 0.23465409200777695, 0.051599904256551685, -0.009059664774244523, 0.33237436405201065, 0.14177860231834583, 0.0824174060159759, 0.06880241901220369, -0.11691474215255986, -0.11458336733497047, -0.2664736785980118, -0.10549765840693291, -0.17245964954296747, 0.005494578766998508, -0.140486866808192, -0.13309583104123232, 0.3161323897797486, 0.051233310755556344, 0.25093079569492616, 0.08808607893364354, 0.3122267326602348, 0.11632475278931724, 0.09175481101840563, 0.10469444669333511, 0.2861032572885354, 0.17976321254444746, 0.0674300569326392, -0.1976215752235068, 0.04226818549595292, 0.009444205835729238] |
711.0467 | Verifying the Identity of High-Redshift Massive Galaxies Through the
Clustering of Lower Mass Galaxies Around Them | Massive high-redshift galaxies form in over-dense regions where the
probability of forming other galaxies is also strongly enhanced. Given an
observed flux of a galaxy, the inferred mass of its host halo tends to be
larger as its inferred redshift increases. As the mass and redshift of a galaxy
halo increase, the expected clustering of other galaxies around it gets
stronger. It is therefore possible to verify the high-redshift identity of a
galaxy (prior to an unambiguous spectral identification) from the clustering of
other galaxies around it. We illustrate this method for the massive galaxy
suggested by Mobasher et al. (2005) to be at redshift z~6.5. If this galaxy
were to exist at z~6.5, there should have been a mean of ~10 galaxies larger
than a hundredth of its mass and having z-band magnitudes less than ~25
detected as i-dropouts in the HUDF. We calculate an approximate probability
distribution for neighbor galaxies and determine that there is less than a
~0.3% chance of detecting no massive neighbor galaxies. The lack of other
massive z~6.5 galaxies in the HUDF image argues that the Mobasher et al. (2005)
galaxy is instead a low redshift interloper. We generalize our results to other
galaxy masses and redshifts.
| astro-ph | massive highredshift galaxies form in overdense regions where the probability of forming other galaxies is also strongly enhanced given an observed flux of a galaxy the inferred mass of its host halo tends to be larger as its inferred redshift increases as the mass and redshift of a galaxy halo increase the expected clustering of other galaxies around it gets stronger it is therefore possible to verify the highredshift identity of a galaxy prior to an unambiguous spectral identification from the clustering of other galaxies around it we illustrate this method for the massive galaxy suggested by mobasher et al 2005 to be at redshift z65 if this galaxy were to exist at z65 there should have been a mean of 10 galaxies larger than a hundredth of its mass and having zband magnitudes less than 25 detected as idropouts in the hudf we calculate an approximate probability distribution for neighbor galaxies and determine that there is less than a 03 chance of detecting no massive neighbor galaxies the lack of other massive z65 galaxies in the hudf image argues that the mobasher et al 2005 galaxy is instead a low redshift interloper we generalize our results to other galaxy masses and redshifts | [['massive', 'highredshift', 'galaxies', 'form', 'in', 'overdense', 'regions', 'where', 'the', 'probability', 'of', 'forming', 'other', 'galaxies', 'is', 'also', 'strongly', 'enhanced', 'given', 'an', 'observed', 'flux', 'of', 'a', 'galaxy', 'the', 'inferred', 'mass', 'of', 'its', 'host', 'halo', 'tends', 'to', 'be', 'larger', 'as', 'its', 'inferred', 'redshift', 'increases', 'as', 'the', 'mass', 'and', 'redshift', 'of', 'a', 'galaxy', 'halo', 'increase', 'the', 'expected', 'clustering', 'of', 'other', 'galaxies', 'around', 'it', 'gets', 'stronger', 'it', 'is', 'therefore', 'possible', 'to', 'verify', 'the', 'highredshift', 'identity', 'of', 'a', 'galaxy', 'prior', 'to', 'an', 'unambiguous', 'spectral', 'identification', 'from', 'the', 'clustering', 'of', 'other', 'galaxies', 'around', 'it', 'we', 'illustrate', 'this', 'method', 'for', 'the', 'massive', 'galaxy', 'suggested', 'by', 'mobasher', 'et', 'al', '2005', 'to', 'be', 'at', 'redshift', 'z65', 'if', 'this', 'galaxy', 'were', 'to', 'exist', 'at', 'z65', 'there', 'should', 'have', 'been', 'a', 'mean', 'of', '10', 'galaxies', 'larger', 'than', 'a', 'hundredth', 'of', 'its', 'mass', 'and', 'having', 'zband', 'magnitudes', 'less', 'than', '25', 'detected', 'as', 'idropouts', 'in', 'the', 'hudf', 'we', 'calculate', 'an', 'approximate', 'probability', 'distribution', 'for', 'neighbor', 'galaxies', 'and', 'determine', 'that', 'there', 'is', 'less', 'than', 'a', '03', 'chance', 'of', 'detecting', 'no', 'massive', 'neighbor', 'galaxies', 'the', 'lack', 'of', 'other', 'massive', 'z65', 'galaxies', 'in', 'the', 'hudf', 'image', 'argues', 'that', 'the', 'mobasher', 'et', 'al', '2005', 'galaxy', 'is', 'instead', 'a', 'low', 'redshift', 'interloper', 'we', 'generalize', 'our', 'results', 'to', 'other', 'galaxy', 'masses', 'and', 'redshifts']] | [-0.03796783044103882, 0.08075463164818825, -0.06079620158235575, 0.1303292552773093, -0.128383201187972, -0.06536877265869837, 0.038416528367790685, 0.4338710753274669, -0.07770487812710146, -0.36633571625453204, 0.005171881416317057, -0.3250948235259524, -0.02708588948409105, 0.1822777754384015, -0.02522299375862177, -0.04418868299320184, 0.006969982230567873, -0.05209181831663318, -0.03780623515144568, -0.3667552053487947, 0.28201585730280854, 0.11282048771602878, 0.17883677472213622, -0.06236307721945177, 0.07594070446406825, -0.09108690899370118, -0.09594934521210861, -0.00559998378891663, -0.14971472121801818, -0.010092001908408303, 0.2561771101731201, 0.17073863300751765, 0.2861474209391682, -0.29022580671945375, -0.19491692779246222, 0.1372604656523252, 0.24385399486539253, 0.08371086656161827, -0.08940642907541117, -0.299184073813333, 0.12928436504671706, -0.1927217734482121, -0.17099060724934406, 0.09623231578691693, 0.05196831913910384, -0.005652150552114242, -0.2156642566164359, 0.20889184618322293, 0.03222191608465033, 0.06487052934473665, -0.05241510500555647, -0.09448637961515505, -0.0978325332303903, 0.05789248779728055, 0.016960943994006793, 0.14421106843516376, 0.19290173784577347, -0.17488928467925327, -0.01096434352387275, 0.415750646459058, -0.012360208792187011, 0.0029442349685071577, 0.24382902163177214, -0.1947967604116945, -0.1797747819925592, 0.0900885517401575, 0.14954144185239202, 0.10835917966051505, -0.14241153062917658, 0.013642661990465946, -0.03869003009537391, 0.23205508277957956, 0.03594641654931119, 0.05414084257812324, 0.28995632632117113, 0.06433155402091556, 0.11139093972214961, 0.062025445887619365, -0.19687086416711214, 0.01364574340668741, -0.17226666061602203, -0.1272748365167877, -0.19689263079058508, 0.09374110136878461, -0.1653088538450409, -0.11378366471694902, 0.336499434277608, 0.1499297783613719, 0.26223862746353677, 0.12622780788442112, 0.29272716750248606, 0.10862918306036573, 0.14807411906277312, 0.10870089179267327, 0.3254026722213428, 0.13562207805965407, 0.014349410227807285, -0.17545840521819037, 0.05860659211938237, -0.01910489613506851] |
711.0468 | Statistical Mechanical Models and Topological Color Codes | We find that the overlapping of a topological quantum color code state,
representing a quantum memory, with a factorized state of qubits can be written
as the partition function of a 3-body classical Ising model on triangular or
Union Jack lattices. This mapping allows us to test that different
computational capabilities of color codes correspond to qualitatively different
universality classes of their associated classical spin models. By generalizing
these statistical mechanical models for arbitrary inhomogeneous and complex
couplings, it is possible to study a measurement-based quantum computation with
a color code state and we find that their classical simulatability remains an
open problem. We complement the meaurement-based computation with the
construction of a cluster state that yields the topological color code and this
also gives the possibility to represent statistical models with external
magnetic fields.
| quant-ph cond-mat.str-el hep-th | we find that the overlapping of a topological quantum color code state representing a quantum memory with a factorized state of qubits can be written as the partition function of a 3body classical ising model on triangular or union jack lattices this mapping allows us to test that different computational capabilities of color codes correspond to qualitatively different universality classes of their associated classical spin models by generalizing these statistical mechanical models for arbitrary inhomogeneous and complex couplings it is possible to study a measurementbased quantum computation with a color code state and we find that their classical simulatability remains an open problem we complement the meaurementbased computation with the construction of a cluster state that yields the topological color code and this also gives the possibility to represent statistical models with external magnetic fields | [['we', 'find', 'that', 'the', 'overlapping', 'of', 'a', 'topological', 'quantum', 'color', 'code', 'state', 'representing', 'a', 'quantum', 'memory', 'with', 'a', 'factorized', 'state', 'of', 'qubits', 'can', 'be', 'written', 'as', 'the', 'partition', 'function', 'of', 'a', '3body', 'classical', 'ising', 'model', 'on', 'triangular', 'or', 'union', 'jack', 'lattices', 'this', 'mapping', 'allows', 'us', 'to', 'test', 'that', 'different', 'computational', 'capabilities', 'of', 'color', 'codes', 'correspond', 'to', 'qualitatively', 'different', 'universality', 'classes', 'of', 'their', 'associated', 'classical', 'spin', 'models', 'by', 'generalizing', 'these', 'statistical', 'mechanical', 'models', 'for', 'arbitrary', 'inhomogeneous', 'and', 'complex', 'couplings', 'it', 'is', 'possible', 'to', 'study', 'a', 'measurementbased', 'quantum', 'computation', 'with', 'a', 'color', 'code', 'state', 'and', 'we', 'find', 'that', 'their', 'classical', 'simulatability', 'remains', 'an', 'open', 'problem', 'we', 'complement', 'the', 'meaurementbased', 'computation', 'with', 'the', 'construction', 'of', 'a', 'cluster', 'state', 'that', 'yields', 'the', 'topological', 'color', 'code', 'and', 'this', 'also', 'gives', 'the', 'possibility', 'to', 'represent', 'statistical', 'models', 'with', 'external', 'magnetic', 'fields']] | [-0.11732317659128179, 0.15089577685187158, -0.09116471148141202, 0.07266297583631587, -0.04868476412523148, -0.1888259600243295, 0.0402994401763374, 0.37185014756535417, -0.27665638190576003, -0.3091343914283745, 0.05134326809193633, -0.22329230577549844, -0.10391186781526446, 0.17796643321235567, -0.026285104487880146, 0.07943784387490309, 0.06938982747648079, 0.025491730254421485, -0.09797683747445317, -0.26026052599355803, 0.3222356773009385, 0.008321096628049472, 0.2616024389932516, 0.011450297260003637, 0.07486650022094263, 0.013929981672302333, 0.009919647447097658, 0.026361715830445512, -0.11869191929785736, 0.13910364723371677, 0.2332994971572195, 0.12511032491721694, 0.18353777530311205, -0.40097291523646283, -0.21718101432601705, 0.11544218588335467, 0.11129298966739383, 0.19315878788718202, -0.011080409692940928, -0.2700069970381794, 0.06453747547287216, -0.20323095739985914, -0.122115036382326, -0.10652418694208696, -0.0032811617259797987, -0.01586933810882437, -0.24307085808588944, 0.0419101027661931, 0.09507669544337428, 0.039442794543426876, -0.04054764366457621, -0.09908875240944326, -0.008367795146195523, 0.1467334168664277, -0.047902533175500195, 0.07773302931081393, 0.08903564671193485, -0.17462628736827912, -0.20371739469371292, 0.3674637283434841, -0.007364396777337611, -0.21669241321731858, 0.2288746537897847, -0.08068760429898193, -0.12204307392100568, 0.057123454642106795, 0.15542414114435218, 0.05889288927150418, -0.11318600588519849, 0.11342524536650753, -0.0616975557198053, 0.17224418517087461, 0.005666833648930734, 0.07276316379229955, 0.24388164443089, 0.09731961689879005, 0.02760720843581288, 0.23230600631152934, -0.0510298439997436, -0.15728610580128535, -0.2932388494347236, -0.16018918214505712, -0.18407469327603257, 0.10223901065052557, -0.10179268452306295, -0.23520539407687846, 0.4301926525858745, 0.1584406828576414, 0.17419401426285283, 0.05933158766172493, 0.25179038308004836, 0.08305039182357463, 0.08179360958608563, 0.08371949045911932, 0.15839868463026777, 0.1630912303868959, 0.024159025605906968, -0.24229123901033692, 0.013161158024111013, 0.07529275128166121] |
711.0469 | A search for ortho-benzyne (o-C6H4) in CRL 618 | Polycyclic aromatic hydrocarbons (PAHs) have been proposed as potential
carriers of the unidentified infrared bands (UIRs) and the diffuse interstellar
bands (DIBs). PAHs are not likely to form by gas-phase or solid-state
interstellar chemistry, but rather might be produced in the outflows of
carbon-rich evolved stars. PAHs could form from acetylene addition to the
phenyl radical (C6H5), which is closely chemically related to benzene (C6H6)
and ortho-benzyne (o-C6H4). To date, circumstellar chemical models have been
limited to only a partial treatment of benzene-related chemistry, and so the
expected abundances of these species are unclear. A detection of benzene has
been reported in the envelope of the proto-planetary nebula (PPN) CRL 618, but
no other benzene-related species has been detected in this or any other source.
The spectrum of o-C6H4 is significantly simpler and stronger than that of C6H5,
and so we conducted deep Ku-, K- and Q-band searches for o-C6H4 with the Green
Bank Telescope. No transitions were detected, but an upper limit on the column
density of 8.4x10^13 cm^-2 has been determined. This limit can be used to
constrain chemical models of PPNe, and this study illustrates the need for
complete revision of these models to include the full set of benzene-related
chemistry.
| astro-ph | polycyclic aromatic hydrocarbons pahs have been proposed as potential carriers of the unidentified infrared bands uirs and the diffuse interstellar bands dibs pahs are not likely to form by gasphase or solidstate interstellar chemistry but rather might be produced in the outflows of carbonrich evolved stars pahs could form from acetylene addition to the phenyl radical c6h5 which is closely chemically related to benzene c6h6 and orthobenzyne oc6h4 to date circumstellar chemical models have been limited to only a partial treatment of benzenerelated chemistry and so the expected abundances of these species are unclear a detection of benzene has been reported in the envelope of the protoplanetary nebula ppn crl 618 but no other benzenerelated species has been detected in this or any other source the spectrum of oc6h4 is significantly simpler and stronger than that of c6h5 and so we conducted deep ku k and qband searches for oc6h4 with the green bank telescope no transitions were detected but an upper limit on the column density of 84x1013 cm2 has been determined this limit can be used to constrain chemical models of ppne and this study illustrates the need for complete revision of these models to include the full set of benzenerelated chemistry | [['polycyclic', 'aromatic', 'hydrocarbons', 'pahs', 'have', 'been', 'proposed', 'as', 'potential', 'carriers', 'of', 'the', 'unidentified', 'infrared', 'bands', 'uirs', 'and', 'the', 'diffuse', 'interstellar', 'bands', 'dibs', 'pahs', 'are', 'not', 'likely', 'to', 'form', 'by', 'gasphase', 'or', 'solidstate', 'interstellar', 'chemistry', 'but', 'rather', 'might', 'be', 'produced', 'in', 'the', 'outflows', 'of', 'carbonrich', 'evolved', 'stars', 'pahs', 'could', 'form', 'from', 'acetylene', 'addition', 'to', 'the', 'phenyl', 'radical', 'c6h5', 'which', 'is', 'closely', 'chemically', 'related', 'to', 'benzene', 'c6h6', 'and', 'orthobenzyne', 'oc6h4', 'to', 'date', 'circumstellar', 'chemical', 'models', 'have', 'been', 'limited', 'to', 'only', 'a', 'partial', 'treatment', 'of', 'benzenerelated', 'chemistry', 'and', 'so', 'the', 'expected', 'abundances', 'of', 'these', 'species', 'are', 'unclear', 'a', 'detection', 'of', 'benzene', 'has', 'been', 'reported', 'in', 'the', 'envelope', 'of', 'the', 'protoplanetary', 'nebula', 'ppn', 'crl', '618', 'but', 'no', 'other', 'benzenerelated', 'species', 'has', 'been', 'detected', 'in', 'this', 'or', 'any', 'other', 'source', 'the', 'spectrum', 'of', 'oc6h4', 'is', 'significantly', 'simpler', 'and', 'stronger', 'than', 'that', 'of', 'c6h5', 'and', 'so', 'we', 'conducted', 'deep', 'ku', 'k', 'and', 'qband', 'searches', 'for', 'oc6h4', 'with', 'the', 'green', 'bank', 'telescope', 'no', 'transitions', 'were', 'detected', 'but', 'an', 'upper', 'limit', 'on', 'the', 'column', 'density', 'of', '84x1013', 'cm2', 'has', 'been', 'determined', 'this', 'limit', 'can', 'be', 'used', 'to', 'constrain', 'chemical', 'models', 'of', 'ppne', 'and', 'this', 'study', 'illustrates', 'the', 'need', 'for', 'complete', 'revision', 'of', 'these', 'models', 'to', 'include', 'the', 'full', 'set', 'of', 'benzenerelated', 'chemistry']] | [-0.046997993494070474, 0.08257116057795051, -0.037768021113476095, 0.027473754892102673, -0.06552468900197637, -0.11252091432884705, 0.034474186674751675, 0.44802056935772594, -0.18781325510371072, -0.3005181740091118, 0.034894737928511006, -0.28018561295823813, -0.048170324813777414, 0.13182460113156513, -0.023254805238742272, -0.025663159566350503, 0.030563432671415557, -0.0930404923971521, 0.029342460544032993, -0.23437579676720988, 0.24131544620734593, 0.09084403117076092, 0.14553549564397422, 0.08020466782549156, 0.0069628880102196615, -0.17089460475720686, -0.04851913158228566, -0.04545314829003545, -0.12581138566297295, 0.112513191163503, 0.28906769528859316, 0.09179129756383118, 0.16253125224444592, -0.4318192992128874, -0.28913442073113255, 0.12461546998088349, 0.16500113036317549, 0.09551079027841126, -0.03551378698228849, -0.25879383793372734, 0.053859938311103576, -0.17922158790222084, -0.12757719324389932, 0.0013798320248704589, 0.07412465937472511, 0.019461621852513256, -0.19944102728121574, 0.055362131016093795, 0.013291430715206403, 0.1059335303297762, -0.09252287322507784, -0.22221916149102963, -0.10379121831121467, 0.08077143607107867, 0.009123877812370585, 0.009735464052721342, 0.19866638257177455, -0.12629152379358316, -0.037850162535352574, 0.45108911238315674, -0.10255166256057138, -0.048164537538846926, 0.2897649935145844, -0.17474265417572812, -0.21450960592800142, 0.22786746957883386, 0.0974161226785336, 0.16276090806073482, -0.20948476933224108, 0.053876047562358274, -0.07071352190174403, 0.19741519700993995, 0.09709311482302918, 0.0891484741206825, 0.24928602882393516, 0.08542939707277214, 0.009498234498798663, 0.1129250832214389, -0.16206881986114907, -0.033036577740786735, -0.16407471072184623, -0.17431878909874376, -0.1466039100299949, 0.08425384560102277, -0.014824246222572286, -0.12677011021532783, 0.3139918688338914, 0.10760727913192666, 0.13233142631519748, -0.038401431989012344, 0.26269901484380115, 0.08817147745154072, 0.15064101588870812, 0.06891942660711559, 0.2953721860603494, 0.1524074730154422, 0.05946755193007907, -0.19840788534072476, 0.17526631375272195, -0.00975118756944332] |
711.047 | Free streaming in mixed dark matter | Free streaming in a \emph{mixture} of collisionless non-relativistic dark
matter (DM) particles is studied by implementing methods from the theory of
multicomponent plasmas. The mixture includes Fermionic, condensed and non
condensed Bosonic particles decoupling in equilibrium while relativistic, heavy
non-relativistic thermal relics (WIMPs), and sterile neutrinos that decouple
\emph{out of equilibrium} when they are relativistic. The free-streaming length
$\lambda_{fs}$ is obtained from the marginal zero of the gravitational
polarization function, which separates short wavelength Landau-damped from long
wavelength Jeans-unstable \emph{collective} modes. At redshift $z$ we find $
\frac{1}{\lambda^2_{fs}(z)}= \frac{1}{(1+z)} \big[\frac{0.071}{\textrm{kpc}}
\big]^2 \sum_{a}\nu_a g^{2/3}_{d,a}({m_a}/{\mathrm{keV}})^2 I_a $,where $0\leq
\nu_a \leq 1$ are the \emph{fractions} of the respective DM components of mass
$m_a$ that decouple when the effective number of ultrarelativistic degrees of
freedom is $g_{d,a}$, and $I_a$ only depend on the distribution functions at
decoupling, given explicitly in all cases. If sterile neutrinos produced either
resonantly or non-resonantly that decouple near the QCD scale are the
\emph{only} DM component,we find $\lambda_{fs}(0) \simeq 7 \mathrm{kpc}
(\mathrm{keV}/m)$ (non-resonant), $\lambda_{fs}(0) \simeq 1.73 \mathrm{kpc}
(\mathrm{keV}/m)$ (resonant).If WIMPs with $m_{wimp} \gtrsim 100 \mathrm{GeV}$
decoupling at $T_d \gtrsim 10 \mathrm{MeV}$ are present in the mixture with
$\nu_{wimp} \gg 10^{-12}$,$\lambda_{fs}(0) \lesssim 6.5 \times 10^{-3}
\mathrm{pc}$ is \emph{dominated} by CDM. If a Bose Einstein condensate is a DM
component its free streaming length is consistent with CDM because of the
infrared enhancement of the distribution function.
| astro-ph hep-ph | free streaming in a emphmixture of collisionless nonrelativistic dark matter dm particles is studied by implementing methods from the theory of multicomponent plasmas the mixture includes fermionic condensed and non condensed bosonic particles decoupling in equilibrium while relativistic heavy nonrelativistic thermal relics wimps and sterile neutrinos that decouple emphout of equilibrium when they are relativistic the freestreaming length lambda_fs is obtained from the marginal zero of the gravitational polarization function which separates short wavelength landaudamped from long wavelength jeansunstable emphcollective modes at redshift z we find frac1lambda2_fsz frac11z bigfrac0071textrmkpc big2 sum_anu_a g23_dam_amathrmkev2 i_a where 0leq nu_a leq 1 are the emphfractions of the respective dm components of mass m_a that decouple when the effective number of ultrarelativistic degrees of freedom is g_da and i_a only depend on the distribution functions at decoupling given explicitly in all cases if sterile neutrinos produced either resonantly or nonresonantly that decouple near the qcd scale are the emphonly dm componentwe find lambda_fs0 simeq 7 mathrmkpc mathrmkevm nonresonant lambda_fs0 simeq 173 mathrmkpc mathrmkevm resonantif wimps with m_wimp gtrsim 100 mathrmgev decoupling at t_d gtrsim 10 mathrmmev are present in the mixture with nu_wimp gg 1012lambda_fs0 lesssim 65 times 103 mathrmpc is emphdominated by cdm if a bose einstein condensate is a dm component its free streaming length is consistent with cdm because of the infrared enhancement of the distribution function | [['free', 'streaming', 'in', 'a', 'emphmixture', 'of', 'collisionless', 'nonrelativistic', 'dark', 'matter', 'dm', 'particles', 'is', 'studied', 'by', 'implementing', 'methods', 'from', 'the', 'theory', 'of', 'multicomponent', 'plasmas', 'the', 'mixture', 'includes', 'fermionic', 'condensed', 'and', 'non', 'condensed', 'bosonic', 'particles', 'decoupling', 'in', 'equilibrium', 'while', 'relativistic', 'heavy', 'nonrelativistic', 'thermal', 'relics', 'wimps', 'and', 'sterile', 'neutrinos', 'that', 'decouple', 'emphout', 'of', 'equilibrium', 'when', 'they', 'are', 'relativistic', 'the', 'freestreaming', 'length', 'lambda_fs', 'is', 'obtained', 'from', 'the', 'marginal', 'zero', 'of', 'the', 'gravitational', 'polarization', 'function', 'which', 'separates', 'short', 'wavelength', 'landaudamped', 'from', 'long', 'wavelength', 'jeansunstable', 'emphcollective', 'modes', 'at', 'redshift', 'z', 'we', 'find', 'frac1lambda2_fsz', 'frac11z', 'bigfrac0071textrmkpc', 'big2', 'sum_anu_a', 'g23_dam_amathrmkev2', 'i_a', 'where', '0leq', 'nu_a', 'leq', '1', 'are', 'the', 'emphfractions', 'of', 'the', 'respective', 'dm', 'components', 'of', 'mass', 'm_a', 'that', 'decouple', 'when', 'the', 'effective', 'number', 'of', 'ultrarelativistic', 'degrees', 'of', 'freedom', 'is', 'g_da', 'and', 'i_a', 'only', 'depend', 'on', 'the', 'distribution', 'functions', 'at', 'decoupling', 'given', 'explicitly', 'in', 'all', 'cases', 'if', 'sterile', 'neutrinos', 'produced', 'either', 'resonantly', 'or', 'nonresonantly', 'that', 'decouple', 'near', 'the', 'qcd', 'scale', 'are', 'the', 'emphonly', 'dm', 'componentwe', 'find', 'lambda_fs0', 'simeq', '7', 'mathrmkpc', 'mathrmkevm', 'nonresonant', 'lambda_fs0', 'simeq', '173', 'mathrmkpc', 'mathrmkevm', 'resonantif', 'wimps', 'with', 'm_wimp', 'gtrsim', '100', 'mathrmgev', 'decoupling', 'at', 't_d', 'gtrsim', '10', 'mathrmmev', 'are', 'present', 'in', 'the', 'mixture', 'with', 'nu_wimp', 'gg', '1012lambda_fs0', 'lesssim', '65', 'times', '103', 'mathrmpc', 'is', 'emphdominated', 'by', 'cdm', 'if', 'a', 'bose', 'einstein', 'condensate', 'is', 'a', 'dm', 'component', 'its', 'free', 'streaming', 'length', 'is', 'consistent', 'with', 'cdm', 'because', 'of', 'the', 'infrared', 'enhancement', 'of', 'the', 'distribution', 'function']] | [-0.14154178758774202, 0.3457398342904456, -0.05451668556018446, 0.09438774386049212, -0.014168046967824921, -0.15394904393178876, -0.033109803974394496, 0.31000027439306277, -0.19520742681925185, -0.29305558666461506, -0.008597166671489295, -0.33079912774533465, 0.07564015389988736, 0.13505505619731104, 0.09396312842056012, -0.024074004181994287, -0.0022719293349207593, -6.17372257133516e-05, -0.03664335274061159, -0.2249974848722419, 0.26258713531513844, 0.04262919809424112, 0.17450038279751495, 0.04084954087738879, 0.09793457023288983, -0.0034860000411684336, 0.011012745843170425, -0.09582583565001922, -0.14803393659695546, -0.03897868410981923, 0.20411450167123874, 0.05457184154567166, 0.16948224859403965, -0.3648450978306265, -0.19646792266464147, 0.14555170948033963, 0.22350843692793904, 0.056960347100147586, -0.02554945189722975, -0.26635568910233604, 0.10091768286880463, -0.21138301236407223, -0.14876093412861408, 0.019972492884754993, 0.03130152810123176, -0.014666238712659553, -0.2724451843051401, 0.18767218933261084, 0.0011508101297994682, -0.005577292644794887, -0.03129634793423555, -0.17047334063010147, -0.03600587897073218, -0.05478323141058074, 0.0883591890003747, 0.034275179247533046, 0.2139309725831621, -0.19495998056775604, -0.002246358762372088, 0.44031202132688263, -0.11789186189819773, -0.1017138360867438, 0.17895321835665248, -0.16525457194354834, -0.11636848255763582, 0.19066344000300608, 0.10640437579198848, 0.10519391352471967, -0.12176992746068348, 0.16263805758213634, -0.05446267380662343, 0.222160036808838, 0.1045454361922636, 0.05201793669570739, 0.3204254722614468, 0.12558430144137953, 0.0330940424450301, 0.009048283533327496, -0.09661860465040753, -0.06743160880600604, -0.33089236329676797, -0.09114847629993725, -0.15905080778275776, 0.07532606127418918, -0.13231771116240382, -0.09232524372502947, 0.2925375306065409, 0.13252201163189825, 0.19142438630268982, 0.060129860882275704, 0.28145919255733204, 0.1056236376848224, 0.009912233066503316, 0.1254590840678877, 0.31356452079489827, 0.1597387990925479, 0.05776094275978931, -0.21319432956918788, -0.08460444386358947, 0.011493369569787039] |
711.0471 | Prediction for discrete time series | Let $\{X_n\}$ be a stationary and ergodic time series taking values from a
finite or countably infinite set ${\cal X}$. Assume that the distribution of
the process is otherwise unknown. We propose a sequence of stopping times
$\lambda_n$ along which we will be able to estimate the conditional probability
$P(X_{\lambda_n+1}=x|X_0,...,X_{\lambda_n})$ from data segment
$(X_0,...,X_{\lambda_n})$ in a pointwise consistent way for a restricted class
of stationary and ergodic finite or countably infinite alphabet time series
which includes among others all stationary and ergodic finitarily Markovian
processes. If the stationary and ergodic process turns out to be finitarily
Markovian (among others, all stationary and ergodic Markov chains are included
in this class) then $ \lim_{n\to \infty} {n\over \lambda_n}>0$ almost surely.
If the stationary and ergodic process turns out to possess finite entropy rate
then $\lambda_n$ is upperbounded by a polynomial, eventually almost surely.
| math.PR cs.IT math.IT | let x_n be a stationary and ergodic time series taking values from a finite or countably infinite set cal x assume that the distribution of the process is otherwise unknown we propose a sequence of stopping times lambda_n along which we will be able to estimate the conditional probability px_lambda_n1xx_0x_lambda_n from data segment x_0x_lambda_n in a pointwise consistent way for a restricted class of stationary and ergodic finite or countably infinite alphabet time series which includes among others all stationary and ergodic finitarily markovian processes if the stationary and ergodic process turns out to be finitarily markovian among others all stationary and ergodic markov chains are included in this class then lim_nto infty nover lambda_n0 almost surely if the stationary and ergodic process turns out to possess finite entropy rate then lambda_n is upperbounded by a polynomial eventually almost surely | [['let', 'x_n', 'be', 'a', 'stationary', 'and', 'ergodic', 'time', 'series', 'taking', 'values', 'from', 'a', 'finite', 'or', 'countably', 'infinite', 'set', 'cal', 'x', 'assume', 'that', 'the', 'distribution', 'of', 'the', 'process', 'is', 'otherwise', 'unknown', 'we', 'propose', 'a', 'sequence', 'of', 'stopping', 'times', 'lambda_n', 'along', 'which', 'we', 'will', 'be', 'able', 'to', 'estimate', 'the', 'conditional', 'probability', 'px_lambda_n1xx_0x_lambda_n', 'from', 'data', 'segment', 'x_0x_lambda_n', 'in', 'a', 'pointwise', 'consistent', 'way', 'for', 'a', 'restricted', 'class', 'of', 'stationary', 'and', 'ergodic', 'finite', 'or', 'countably', 'infinite', 'alphabet', 'time', 'series', 'which', 'includes', 'among', 'others', 'all', 'stationary', 'and', 'ergodic', 'finitarily', 'markovian', 'processes', 'if', 'the', 'stationary', 'and', 'ergodic', 'process', 'turns', 'out', 'to', 'be', 'finitarily', 'markovian', 'among', 'others', 'all', 'stationary', 'and', 'ergodic', 'markov', 'chains', 'are', 'included', 'in', 'this', 'class', 'then', 'lim_nto', 'infty', 'nover', 'lambda_n0', 'almost', 'surely', 'if', 'the', 'stationary', 'and', 'ergodic', 'process', 'turns', 'out', 'to', 'possess', 'finite', 'entropy', 'rate', 'then', 'lambda_n', 'is', 'upperbounded', 'by', 'a', 'polynomial', 'eventually', 'almost', 'surely']] | [-0.12042880492905776, 0.21563449275234473, -0.10191999666014875, 0.07472593214870225, -0.009752347221786993, -0.1986073072851244, 0.11558250370317315, 0.38810068552476773, -0.3354334931118765, -0.10404566108279498, 0.148879136538818, -0.29941989235795924, -0.06361228510597383, 0.15317680640146136, -0.07595968088540046, 0.08491840691356733, 0.05908138747242671, 0.12926358609473793, -0.013567442975371428, -0.27199312588334945, 0.27340461051874404, -0.02150812664784599, 0.24236917636100797, -0.03846972489027657, 0.1607676581083122, 0.0037702733393087037, -0.032895664962858936, 0.006806626985106023, -0.15917622496609524, -0.0287915238354733, 0.3034216903379538, 0.10948781708957277, 0.30181949408859876, -0.3435838162642566, -0.1666775630129859, 0.2596237875075768, 0.20772359195583756, -0.0035365082110966678, 0.04739938578079117, -0.28861543964054703, 0.1372322836364417, -0.1595446868450381, -0.14113128549196635, -0.06167201861145272, 0.07176127248322187, 0.06661795321649508, -0.3605866046365944, 0.053260846734148166, 0.15934736004261219, 0.0045175426572129345, -0.011861927439526155, -0.08462728688871299, -0.019538156031900882, 0.12802461101133647, 0.058974581449402264, 0.02619062266582488, 0.0957858985107716, 0.03832734026271256, -0.0883504165660428, 0.3039991091666878, -0.10271130335193289, -0.254164262080862, 0.1412986561370654, -0.20594448981928112, -0.17452817522934166, 0.2087039670103864, 0.10006023933301153, 0.1439929145010377, -0.17994832568397018, 0.18386777195205534, -0.0777592940552943, 0.11675456286225792, 0.06289203936045153, 0.03724934456640504, 0.18580656722601355, 0.06059505363278415, 0.15677982466329105, 0.15285246820354403, 0.024334093842628426, -0.14230257497789958, -0.3280286780976947, -0.12116559203950338, -0.18658050057390516, 0.2067525136584848, -0.11423308721788235, -0.20727076941588218, 0.29587525737377396, 0.1144073417585721, 0.16013029858510455, 0.18354937911246214, 0.19183466738035929, 0.15741959935574257, -0.07492345736524009, 0.15404938665839532, 0.03614520853844242, 0.13511852821819417, 3.7168753265902616e-05, -0.1360512687318513, 0.11184649749497033, 0.10751369289136019] |
711.0472 | Order estimation of Markov chains | We describe estimators $\chi_n(X_0,X_1,...,X_n)$, which when applied to an
unknown stationary process taking values from a countable alphabet ${\cal X}$,
converge almost surely to $k$ in case the process is a $k$-th order Markov
chain and to infinity otherwise.
| math.PR cs.IT math.IT | we describe estimators chi_nx_0x_1x_n which when applied to an unknown stationary process taking values from a countable alphabet cal x converge almost surely to k in case the process is a kth order markov chain and to infinity otherwise | [['we', 'describe', 'estimators', 'chi_nx_0x_1x_n', 'which', 'when', 'applied', 'to', 'an', 'unknown', 'stationary', 'process', 'taking', 'values', 'from', 'a', 'countable', 'alphabet', 'cal', 'x', 'converge', 'almost', 'surely', 'to', 'k', 'in', 'case', 'the', 'process', 'is', 'a', 'kth', 'order', 'markov', 'chain', 'and', 'to', 'infinity', 'otherwise']] | [-0.08467312279696527, 0.15198519812800346, -0.07038913289771269, 0.0461755167317805, -0.0540996349759792, -0.16169506157013147, 0.10032343344860956, 0.41833172282694203, -0.3282460986979698, -0.14805068874633626, 0.14451278635993062, -0.3169051591110857, -0.049861533794012904, 0.10218798961202417, -0.05910770401456639, 0.06794423429566546, 0.0349371252875579, 0.1410570942404631, -0.007634390206811459, -0.29344425992550033, 0.2671928816033821, 0.03318236020736789, 0.24777928502053806, -0.09505393356084824, 0.15878892119661414, -0.008977086635576071, 0.0695356753130909, -0.014162040291059958, -0.17750307986218677, -0.014937505199524918, 0.3168104312529689, 0.07838862090322532, 0.27079541040094274, -0.3145371766540369, -0.14948290495790148, 0.27441132637230975, 0.199016795126035, 0.06605050603454736, 0.10516554330426611, -0.29223993157747347, 0.15593876447038432, -0.14515106394690902, -0.14183130998801635, -0.058710262093594985, 0.05578653227635905, -0.022672890991854825, -0.4003027029776652, -0.04188762671363197, 0.14493057371950463, 0.005847512425756768, -0.010891391356524668, -0.1265626859017893, -0.0008327824210650043, 0.12021409137876042, 0.11495727817007144, 0.06348197258959867, 0.09903557185622815, -0.0057292341401702475, -0.09097739670572705, 0.32361346850857925, -0.10985634005689797, -0.234349831056438, 0.13151215725137214, -0.20214808626884692, -0.15911071535543, 0.22203864627762845, 0.1586662169153753, 0.16693496988400033, -0.1186499897544548, 0.1894227865283794, -0.011731538180212834, 0.15929955434924187, 0.05909319466445595, -0.038552452466989816, 0.1264818776889067, 0.11119629121017888, 0.16052116007593117, 0.18120388637639975, 0.005459209070786049, -0.1111819406750759, -0.336566960341052, -0.11537466198205948, -0.2153019848169367, 0.17621007861912644, -0.11347756983281886, -0.24259380945678508, 0.26555536469248564, 0.17866627536456067, 0.23001427923966394, 0.14673500849044344, 0.20838865208880683, 0.1606019379963216, -0.06611594695009683, 0.1343842364332982, 0.04372129753526104, 0.18904500069880956, 0.005347644738656909, -0.1126205060741325, 0.10922786774800013, 0.09082273138981116] |
711.0473 | Model Structures on the Category of Small Double Categories | In this paper we obtain several model structures on {\bf DblCat}, the
category of small double categories. Our model structures have three sources.
We first transfer across a categorification-nerve adjunction. Secondly, we view
double categories as internal categories in {\bf Cat} and take as our weak
equivalences various internal equivalences defined via Grothendieck topologies.
Thirdly, {\bf DblCat} inherits a model structure as a category of algebras over
a 2-monad. Some of these model structures coincide and the different points of
view give us further results about cofibrant replacements and cofibrant
objects. As part of this program we give explicit descriptions and discuss
properties of free double categories, quotient double categories, colimits of
double categories, several nerves, and horizontal categorification.
| math.AT math.CT | in this paper we obtain several model structures on bf dblcat the category of small double categories our model structures have three sources we first transfer across a categorificationnerve adjunction secondly we view double categories as internal categories in bf cat and take as our weak equivalences various internal equivalences defined via grothendieck topologies thirdly bf dblcat inherits a model structure as a category of algebras over a 2monad some of these model structures coincide and the different points of view give us further results about cofibrant replacements and cofibrant objects as part of this program we give explicit descriptions and discuss properties of free double categories quotient double categories colimits of double categories several nerves and horizontal categorification | [['in', 'this', 'paper', 'we', 'obtain', 'several', 'model', 'structures', 'on', 'bf', 'dblcat', 'the', 'category', 'of', 'small', 'double', 'categories', 'our', 'model', 'structures', 'have', 'three', 'sources', 'we', 'first', 'transfer', 'across', 'a', 'categorificationnerve', 'adjunction', 'secondly', 'we', 'view', 'double', 'categories', 'as', 'internal', 'categories', 'in', 'bf', 'cat', 'and', 'take', 'as', 'our', 'weak', 'equivalences', 'various', 'internal', 'equivalences', 'defined', 'via', 'grothendieck', 'topologies', 'thirdly', 'bf', 'dblcat', 'inherits', 'a', 'model', 'structure', 'as', 'a', 'category', 'of', 'algebras', 'over', 'a', '2monad', 'some', 'of', 'these', 'model', 'structures', 'coincide', 'and', 'the', 'different', 'points', 'of', 'view', 'give', 'us', 'further', 'results', 'about', 'cofibrant', 'replacements', 'and', 'cofibrant', 'objects', 'as', 'part', 'of', 'this', 'program', 'we', 'give', 'explicit', 'descriptions', 'and', 'discuss', 'properties', 'of', 'free', 'double', 'categories', 'quotient', 'double', 'categories', 'colimits', 'of', 'double', 'categories', 'several', 'nerves', 'and', 'horizontal', 'categorification']] | [-0.1262836140150943, -0.012841510385724491, -0.05596227613518592, 0.13979277106058174, -0.06961810503331624, -0.12130988860936386, 0.030593556242569445, 0.42426237855748883, -0.39127278790391723, -0.2757657519621967, 0.04619815892034114, -0.18179072693576395, -0.15097972752269487, 0.18292592463870372, -0.15612550412208356, -0.12024995436940085, 0.09551269678270509, 0.06536343448859608, -0.08553008861229594, -0.2307538933608408, 0.43118023229281194, 0.000899286388724657, 0.25702396437027974, -0.01194068484393687, 0.11234137608974787, -0.017346938833160776, -0.012162949715275317, 0.027996226944478935, -0.1500081786913958, 0.14217443987807452, 0.2868615850517205, 0.09052810646545399, 0.17507109093351353, -0.39582256455143017, -0.1013536086980382, 0.09974125308157265, 0.10606287845715495, 0.07163143363492243, -0.0014084031261455525, -0.3316012350521211, 0.09023067838881679, -0.2688817342759335, -0.029164461427014964, -0.11771657235984659, 0.04273645841147237, 0.053355611300754266, -0.20148178958584922, -0.05722813502532141, 0.10768165701101053, 0.10690281045591009, -0.13119514276482294, -0.10490491961787358, -0.07576142367605794, 0.14770759851270324, -0.03838891700183138, -0.03915113048499514, 0.14235020635432788, -0.15885499448932963, -0.1877386729907373, 0.35046158236419334, -0.01447230685855551, -0.1945252254502928, 0.2018309271902424, -0.09824425557724617, -0.18072278818500967, 0.0999624941795101, 0.05716682993405466, 0.15131286137480418, -0.055859616540617246, 0.15513262640562406, -0.1560209500442805, 0.0546410056633939, 0.11959836970219903, 0.07929646382750623, 0.1767848377148139, 0.1390298270411661, -0.015752949300302386, 0.17080240543522263, -0.059027156184411386, -0.08132303336731575, -0.4013016066867216, -0.17769998726274433, 0.027972547618415337, 0.1104028389251245, -0.08399085447546958, -0.20772392631474287, 0.4160867590890748, 0.13989906892951193, 0.22309380196484513, 0.12410955524633052, 0.225513336987331, -0.024458271629931725, 0.0777833773353105, -0.03435753888835938, 0.1305143337731665, 0.24908780258405824, 0.03431012422139435, -0.01709691365450171, -0.02461181647256659, 0.17996522626871692] |
711.0474 | Electric field gradient induced effects in GaAs/AlGaAs modulation-doped
structures and high frequency sensing | Electric field gradient effects induced by an asymmetrically in-plane shaped
GaAs/AlGaAs modulation-doped structures of various design are investigated
within 4-300 K temperature range. It is demonstrated that current-voltage
characteristics of such structures at low, 4-80 K, temperatures exhibit
well-pronounced asymmetry arising due to a presence of two different gradients
of the electric field in a two dimensional electron gas. This phenomenon is
caused by both, different accumulation of two-dimensional electrons due to
asymmetrical shape of the structure and nonlocality in the electron drift
velocity. Experiments are illustrated by a phenomenological model and Monte
Carlo simulation. Possible applications of the effect to detect electromagnetic
radiation of GHz and THz frequencies are discussed as well.
| cond-mat.mtrl-sci | electric field gradient effects induced by an asymmetrically inplane shaped gaasalgaas modulationdoped structures of various design are investigated within 4300 k temperature range it is demonstrated that currentvoltage characteristics of such structures at low 480 k temperatures exhibit wellpronounced asymmetry arising due to a presence of two different gradients of the electric field in a two dimensional electron gas this phenomenon is caused by both different accumulation of twodimensional electrons due to asymmetrical shape of the structure and nonlocality in the electron drift velocity experiments are illustrated by a phenomenological model and monte carlo simulation possible applications of the effect to detect electromagnetic radiation of ghz and thz frequencies are discussed as well | [['electric', 'field', 'gradient', 'effects', 'induced', 'by', 'an', 'asymmetrically', 'inplane', 'shaped', 'gaasalgaas', 'modulationdoped', 'structures', 'of', 'various', 'design', 'are', 'investigated', 'within', '4300', 'k', 'temperature', 'range', 'it', 'is', 'demonstrated', 'that', 'currentvoltage', 'characteristics', 'of', 'such', 'structures', 'at', 'low', '480', 'k', 'temperatures', 'exhibit', 'wellpronounced', 'asymmetry', 'arising', 'due', 'to', 'a', 'presence', 'of', 'two', 'different', 'gradients', 'of', 'the', 'electric', 'field', 'in', 'a', 'two', 'dimensional', 'electron', 'gas', 'this', 'phenomenon', 'is', 'caused', 'by', 'both', 'different', 'accumulation', 'of', 'twodimensional', 'electrons', 'due', 'to', 'asymmetrical', 'shape', 'of', 'the', 'structure', 'and', 'nonlocality', 'in', 'the', 'electron', 'drift', 'velocity', 'experiments', 'are', 'illustrated', 'by', 'a', 'phenomenological', 'model', 'and', 'monte', 'carlo', 'simulation', 'possible', 'applications', 'of', 'the', 'effect', 'to', 'detect', 'electromagnetic', 'radiation', 'of', 'ghz', 'and', 'thz', 'frequencies', 'are', 'discussed', 'as', 'well']] | [-0.16441252897982897, 0.21100852526098476, -0.01483039222080755, 0.032550551884280174, -0.00779400869124297, -0.13718711992363092, -0.026396647907496816, 0.436227846412664, -0.26309934490055376, -0.3547082431284727, 0.024179869683756107, -0.2637980913957663, -0.12035281869244918, 0.22564547418913417, 0.03904362984899992, 0.00976282783240014, -0.03795227595555763, -0.07359498253234341, -0.050556242225415576, -0.1506246459460199, 0.2693539853537439, 0.09621524546770338, 0.3209889530022917, 0.1037674524112547, 0.09863346071699552, -0.047647991320695235, 0.03129223920404911, 0.0771286930616912, -0.09296363375008784, 0.022259688491117112, 0.24247143655784625, -0.047058867399819786, 0.227816988805021, -0.4372439102673557, -0.25694542702089634, 0.03234143087030512, 0.11161286222946261, 0.11287433591432276, -0.10908764493610479, -0.2772715741653094, 0.05506355942647278, -0.14611387187697455, -0.14560401777580248, -0.03429941873404041, 0.012531945376813543, 0.047513049442024356, -0.24842280010843187, 0.11540077330618767, 0.016746323680365046, 0.11770434947931661, -0.0606876648076505, -0.13559386342665, -0.043562939154618806, 0.04094822688720527, 0.053745524770275284, 0.01388321327358748, 0.21976656916724369, -0.09932710153373438, -0.12173272160796729, 0.354899699103285, -0.05940598269627817, -0.12017239458831666, 0.20194332495710887, -0.20239263077460196, -0.007892235560833056, 0.19772161549344594, 0.17212449349215733, 0.10420222426105323, -0.15349536759426521, 0.06447880577158999, 0.02119753635859331, 0.11442031516009464, 0.09946476114477006, 0.060564892840431594, 0.26912287144666225, 0.14400219529005906, -0.01487073525621564, 0.15224733116286518, -0.16813176844178376, -0.07737738577354353, -0.2401847669739375, -0.09985315753559096, -0.1612266915380559, 0.06436045054939732, -0.06179875526958417, -0.1691560320910561, 0.400112650307736, 0.15930737459988836, 0.1896973315222535, -0.08194875074303255, 0.321147895558218, 0.10268652722532078, 0.060875271245078966, 0.03577376578407016, 0.22156720382647704, 0.21263987409255872, 0.09539288508219529, -0.291935208072243, 0.03903404921004796, -0.05661283513897849] |
711.0475 | Local Indistinguishability and Possibility of Hiding cbits in Activable
Bound Entangled States | In this letter we prove local indistinguishability of four orthogonal
activable bound entangled states shared among even number of parties. All
reduced density matrices of such states are maximally mixed. We further proceed
to establish a multipartite quantum data hiding scheme on those states and
explore its power and limitations.
| quant-ph | in this letter we prove local indistinguishability of four orthogonal activable bound entangled states shared among even number of parties all reduced density matrices of such states are maximally mixed we further proceed to establish a multipartite quantum data hiding scheme on those states and explore its power and limitations | [['in', 'this', 'letter', 'we', 'prove', 'local', 'indistinguishability', 'of', 'four', 'orthogonal', 'activable', 'bound', 'entangled', 'states', 'shared', 'among', 'even', 'number', 'of', 'parties', 'all', 'reduced', 'density', 'matrices', 'of', 'such', 'states', 'are', 'maximally', 'mixed', 'we', 'further', 'proceed', 'to', 'establish', 'a', 'multipartite', 'quantum', 'data', 'hiding', 'scheme', 'on', 'those', 'states', 'and', 'explore', 'its', 'power', 'and', 'limitations']] | [-0.211239773738198, 0.1992475662752986, -0.0627625023201108, 0.06921573473839089, 0.03345614948309958, -0.20825522620230913, 0.12740459899883716, 0.3287126521766186, -0.2718683232180774, -0.2803765779454261, 0.05153450236422941, -0.29102662585675715, -0.09484365976415575, 0.11948419325053691, -0.0671691517997533, 0.11538528980570845, 0.0650138301216066, 0.01895483341999352, -0.05684886238072068, -0.3104148943349719, 0.36105103775858877, -0.05536824141861871, 0.3250305711710826, 0.025466003008186817, 0.0498025443428196, 0.013043064661324023, -0.027825803542509676, -0.029573029968887568, -0.06936490545049309, 0.16707654254627413, 0.3044388230517507, 0.206468992321752, 0.2420075047505088, -0.4414088342897594, -0.1552694736450212, 0.17137999597936868, 0.09316194183193147, 0.18272140523418784, -0.0052754163672216236, -0.31211176559329035, 0.07267065480351448, -0.22237995237112046, -0.11681287003681064, -0.13809274770319463, -0.04343970117624849, -0.05241360668092966, -0.2516797487065196, 0.09107062241062522, 0.047269127033650875, 0.024492499707266687, 0.012942906094249338, -0.09842457387596369, -0.01986909515224397, 0.10064368082210422, -0.08266288066282869, -0.0939856519026216, 0.08855201452970504, -0.12151219937484711, -0.1730858352035284, 0.2930270824860781, 0.018317627342185006, -0.2239227740140632, 0.20895279213786125, -0.11757156755775214, -0.16621778360102327, 0.01077559343772009, 0.17725914420560002, 0.11190417095087468, -0.08178513683378696, 0.0516597500978969, -0.09383222837233916, 0.17258137447759508, 0.11838067793287337, 0.2243435473018326, 0.14465270893182605, 0.01493602325906977, 0.14611278418451548, 0.2065329357003793, -0.02616395360324532, -0.11604595066513866, -0.27634168170392515, -0.21628317661234178, -0.24999587878817692, 0.06794512199703603, -0.0701731684798142, -0.07691598769277334, 0.40945182250601647, 0.1052323773689568, 0.1698296485841274, 0.051933282930403946, 0.26611404607072475, 0.06374071409925819, -0.005490108234807849, 0.140840472150594, 0.2215678693668451, 0.1789189493842423, -0.021936038238927723, -0.2129365247860551, 0.02986598533578217, 0.003771148012019694] |
711.0476 | A pastiche on embeddings into simple groups (following P. E. Schupp) | Let lambda be an infinite cardinal number and let C = {H_i| i in I} be a
family of nontrivial groups. Assume that |I|<=lambda, |H_i|<= lambda, for i in
I, and at least one member of C achieves the cardinality lambda.
We show that there exists a simple group S of cardinality lambda that
contains an isomorphic copy of each member of C and, for all H_i, H_j in C with
|H_j|=lambda, is generated by the copies of H_i and H_j in S.
This generalizes a result of Paul E. Schupp (moreover, our proof follows the
same approach based on small cancelation). In the countable case, we partially
recover a much deeper embedding result of Alexander Yu. Ol'shanskii.
| math.GR | let lambda be an infinite cardinal number and let c h_i i in i be a family of nontrivial groups assume that ilambda h_i lambda for i in i and at least one member of c achieves the cardinality lambda we show that there exists a simple group s of cardinality lambda that contains an isomorphic copy of each member of c and for all h_i h_j in c with h_jlambda is generated by the copies of h_i and h_j in s this generalizes a result of paul e schupp moreover our proof follows the same approach based on small cancelation in the countable case we partially recover a much deeper embedding result of alexander yu olshanskii | [['let', 'lambda', 'be', 'an', 'infinite', 'cardinal', 'number', 'and', 'let', 'c', 'h_i', 'i', 'in', 'i', 'be', 'a', 'family', 'of', 'nontrivial', 'groups', 'assume', 'that', 'ilambda', 'h_i', 'lambda', 'for', 'i', 'in', 'i', 'and', 'at', 'least', 'one', 'member', 'of', 'c', 'achieves', 'the', 'cardinality', 'lambda', 'we', 'show', 'that', 'there', 'exists', 'a', 'simple', 'group', 's', 'of', 'cardinality', 'lambda', 'that', 'contains', 'an', 'isomorphic', 'copy', 'of', 'each', 'member', 'of', 'c', 'and', 'for', 'all', 'h_i', 'h_j', 'in', 'c', 'with', 'h_jlambda', 'is', 'generated', 'by', 'the', 'copies', 'of', 'h_i', 'and', 'h_j', 'in', 's', 'this', 'generalizes', 'a', 'result', 'of', 'paul', 'e', 'schupp', 'moreover', 'our', 'proof', 'follows', 'the', 'same', 'approach', 'based', 'on', 'small', 'cancelation', 'in', 'the', 'countable', 'case', 'we', 'partially', 'recover', 'a', 'much', 'deeper', 'embedding', 'result', 'of', 'alexander', 'yu', 'olshanskii']] | [-0.16072521172463894, 0.1392620519661156, -0.036216813611049316, -0.038075582153898474, -0.058737073844330835, -0.2192106076901586, 0.021174907916153236, 0.3422662727133339, -0.2759999862173572, -0.19542068694236464, 0.03176381524776686, -0.31290462365823574, -0.06472492747707292, 0.14535298709434474, -0.10377394025021329, -0.11181695488129004, 0.06055722487207245, 0.10571107882524616, 0.03442861268433325, -0.268902358534778, 0.33194592887744434, -0.06997941508246906, 0.16414128623677995, 0.01720304474844758, 0.10467675454705826, 0.017577518672875034, -0.008105041577625248, 0.03250794895876456, -0.21422149262541318, 0.07900073478431922, 0.23760456064764154, 0.18760247429399268, 0.26714115169256575, -0.2824241617959944, -0.1157366571594672, 0.2089537926467842, 0.12128279123511486, -0.008127856734690481, 0.000315485521147413, -0.2345387099821578, 0.16064244257045332, -0.1737658460463943, -0.13238478982259103, -0.015147971109776148, 0.1397484321115089, -0.015379033163832179, -0.31684765138799836, 0.0006605388982028797, 0.13579647841156814, 0.07463306979404698, 0.01230903649863241, -0.1822836883366108, -0.07344694521703661, 0.0297902669388287, -0.012965381452572885, 0.10180442135656606, 0.008409542260402492, -0.06508133262932775, -0.10379377290092666, 0.38597234671861175, -0.14976323033072825, -0.17323817523870746, 0.1356579725698825, -0.1684522293548196, -0.22027196527201812, 0.0994513068681358, 0.04456268348891673, 0.14128997518905792, -0.012519476276918733, 0.22908326181189703, -0.1489756457115712, 0.13977450574748218, 0.09794821531576073, 0.00647936029568443, 0.09437671878599915, 0.090680874964415, 0.0924266837778148, 0.13263996225853997, 0.02756095360683534, 0.05691793969238241, -0.4016608348084164, -0.17512555618505476, -0.2148549356362341, 0.1384258693874942, -0.08459793120885573, -0.1469464988050308, 0.3591945216477174, 0.08332985256806594, 0.23304741641362037, 0.07019068614643967, 0.16457419069222945, 0.05590802179508971, 0.050320645300510884, 0.14086950311421192, 0.0814140057994117, 0.13311564326808178, -0.07411023537610288, -0.16133950688025175, 0.011828344445755899, 0.1514032526696422] |
711.0477 | Noncommutative geometry and motives (a quoi servent les endomotifs?) | This paper gives a short and historical survey on the theory of pure motives
in algebraic geometry and reviews some of the recent developments of this
theory in noncommutative geometry. The second part of the paper outlines the
new theory of endomotives and some of its relevant applications in
number-theory.
| math.QA math.AG math.NT math.OA | this paper gives a short and historical survey on the theory of pure motives in algebraic geometry and reviews some of the recent developments of this theory in noncommutative geometry the second part of the paper outlines the new theory of endomotives and some of its relevant applications in numbertheory | [['this', 'paper', 'gives', 'a', 'short', 'and', 'historical', 'survey', 'on', 'the', 'theory', 'of', 'pure', 'motives', 'in', 'algebraic', 'geometry', 'and', 'reviews', 'some', 'of', 'the', 'recent', 'developments', 'of', 'this', 'theory', 'in', 'noncommutative', 'geometry', 'the', 'second', 'part', 'of', 'the', 'paper', 'outlines', 'the', 'new', 'theory', 'of', 'endomotives', 'and', 'some', 'of', 'its', 'relevant', 'applications', 'in', 'numbertheory']] | [-0.13117854193784295, 0.041165479142218825, -0.11829425979405642, 0.034343221462331715, -0.08663936544209719, -0.032096289824694396, 0.00042778321309015153, 0.2528880540467799, -0.2933069499582052, -0.2488423817977309, 0.13830781685421242, -0.2516857204027474, -0.24926341947168112, 0.21417839400470257, -0.19159004839137198, -0.018299558052094652, 0.0024570222198963165, 0.05391112808138132, -0.10987100980244577, -0.2982354471832514, 0.3715166387241334, 0.05785755520686507, 0.23779496482107787, 0.11099049469456077, 0.07627551649697124, 0.04347579853609204, -0.13165501287207007, -0.004635940194129944, -0.17846764344722033, 0.27540165562182667, 0.28619964776560664, 0.15956666667945682, 0.2779982763994485, -0.4605351230502129, -0.1707277148962021, 0.007544781416654587, 0.06324221201241016, 0.12601346164941787, -0.04900788795785047, -0.2552195631712675, 0.04914553101174533, -0.217539250664413, -0.1452027554437518, -0.03481760201975703, 0.03632108062505722, 0.02947600658982992, -0.1261896924674511, 0.016662065675482153, 0.09109880482777953, 0.1238214698061347, -0.06317758339690044, -0.10245285112177953, 0.08597590615041555, 0.08910933380015194, 0.07759804241359233, 0.033413861775770784, 0.05019734092056751, -0.17460699499584734, -0.1241157529503107, 0.3613355246186256, -0.028751878403127193, -0.11524523682892322, 0.14209843398304656, -0.14490638099610806, -0.20645832940936087, 0.05728516659000889, 0.17215603129938245, 0.18220552567392587, -0.10900904214009642, 0.19084830786683596, -0.060167871648445725, 0.08878236074000596, 0.01517053622752428, 0.06314088620245456, 0.1974467062205076, 0.14411028791218997, 0.0034219889342784883, 0.14525687623769046, -0.011335242164786905, -0.14375851738266646, -0.41632192097604276, -0.1834650128800422, -0.10638270113151521, 0.08389270409941674, -0.053353613139188384, -0.18125382056459785, 0.46118373405188323, 0.18026335846632718, 0.16835303962696344, 0.0101090507209301, 0.28233155932277443, 0.03863343109376729, -0.040340882297605275, -0.04373989237472415, 0.20188352003111504, 0.22052769776433706, 0.167100397804752, -0.11842843502352479, -0.008646162373479456, 0.08912585093639791] |
711.0478 | Quasi-Sectorial Contractions | We revise the notion of the quasi-sectorial contractions. Our main theorem
establishes a relation between semigroups of quasi-sectorial contractions and a
class of m-sectorial generators. We discuss a relevance of this kind of
contractions to the theory of operator-norm approximations of strongly
continuous semigroups.
| math.FA math.GM | we revise the notion of the quasisectorial contractions our main theorem establishes a relation between semigroups of quasisectorial contractions and a class of msectorial generators we discuss a relevance of this kind of contractions to the theory of operatornorm approximations of strongly continuous semigroups | [['we', 'revise', 'the', 'notion', 'of', 'the', 'quasisectorial', 'contractions', 'our', 'main', 'theorem', 'establishes', 'a', 'relation', 'between', 'semigroups', 'of', 'quasisectorial', 'contractions', 'and', 'a', 'class', 'of', 'msectorial', 'generators', 'we', 'discuss', 'a', 'relevance', 'of', 'this', 'kind', 'of', 'contractions', 'to', 'the', 'theory', 'of', 'operatornorm', 'approximations', 'of', 'strongly', 'continuous', 'semigroups']] | [-0.1545610496329821, 0.1063484680542553, -0.06837592827452516, 0.08924448442253792, -0.06577625524633648, -0.011701030286282978, 0.09404291996510107, 0.3134187192825431, -0.3157994674349373, -0.15833489021117036, 0.11076626430837098, -0.29183625182221556, -0.1916460438885472, 0.20638279845430094, -0.13717946336096662, 0.009046398653564129, 0.0359436742622744, 0.021928096375301142, -0.18946651322767138, -0.1691639107620259, 0.4036290519341657, -0.019826712065630338, 0.19649254882030867, 0.07774006748910654, 0.09445182588586415, 0.0020237927515567703, -0.10823347815312445, -0.037463856606998226, -0.17490438054400412, 0.19625043191693045, 0.23709108257158237, 0.1330498238199983, 0.3028934369371696, -0.3529473746364767, -0.12922670613889667, 0.17556875270119318, 0.0008649209471927447, 0.03093691054858606, -0.01384730432817543, -0.2528538971462033, 0.06557253353160129, -0.19480327914722942, -0.17735487322153692, -0.0898793128488416, 0.0172842809591781, 0.07859287409916181, -0.27212009028616274, 0.052128468867687676, 0.22988933070816778, 0.061947537755424324, -0.0570749746826054, -0.02491282375360077, -0.031553797106343234, 0.07628125633875077, 0.027485975381833585, -0.043187567657283085, 0.07680433080531657, -0.05266323608917777, -0.18098198673264546, 0.33389264497567306, -0.03472789317708124, -0.17301170759707352, 0.18030817119341175, -0.16714481082321567, -0.19438413881950758, 0.01892407977191562, 0.1168743494305421, 0.17952188210223208, -0.09147845401259308, 0.1370303576788336, -0.07634597229347988, 0.0747162565080957, 0.044662596975368535, 0.04472200805321336, 0.10233081428503449, 0.1317884185436097, 0.06619005695789713, 0.19537759438919072, 0.09289228107610886, -0.08971815067343414, -0.4294974295083772, -0.211058856877075, -0.12647281516216358, 0.10355185238983143, -0.11451274085629848, -0.21479300748218189, 0.41006473947147076, 0.17397086242933504, 0.17521478032523935, 0.15202586340125313, 0.1614826273937731, 0.11659879175237041, 0.03206657920964062, 0.03161581182344393, 0.16208728977521372, 0.29649766424501484, 0.029265902915292165, -0.1768786178012802, -0.011929830652661622, 0.2507675315719098] |
711.0479 | Spin-echo of a single electron spin in a quantum dot | We report a measurement of the spin-echo decay of a single electron spin
confined in a semiconductor quantum dot. When we tip the spin in the transverse
plane via a magnetic field burst, it dephases in 37 ns due to the Larmor
precession around a random effective field from the nuclear spins in the host
material. We reverse this dephasing to a large extent via a spin-echo pulse,
and find a spin-echo decay time of about 0.5 microseconds at 70 mT. These
results are in the range of theoretical predictions of the electron spin
coherence time governed by the dynamics of the electron-nuclear system.
| cond-mat.mes-hall | we report a measurement of the spinecho decay of a single electron spin confined in a semiconductor quantum dot when we tip the spin in the transverse plane via a magnetic field burst it dephases in 37 ns due to the larmor precession around a random effective field from the nuclear spins in the host material we reverse this dephasing to a large extent via a spinecho pulse and find a spinecho decay time of about 05 microseconds at 70 mt these results are in the range of theoretical predictions of the electron spin coherence time governed by the dynamics of the electronnuclear system | [['we', 'report', 'a', 'measurement', 'of', 'the', 'spinecho', 'decay', 'of', 'a', 'single', 'electron', 'spin', 'confined', 'in', 'a', 'semiconductor', 'quantum', 'dot', 'when', 'we', 'tip', 'the', 'spin', 'in', 'the', 'transverse', 'plane', 'via', 'a', 'magnetic', 'field', 'burst', 'it', 'dephases', 'in', '37', 'ns', 'due', 'to', 'the', 'larmor', 'precession', 'around', 'a', 'random', 'effective', 'field', 'from', 'the', 'nuclear', 'spins', 'in', 'the', 'host', 'material', 'we', 'reverse', 'this', 'dephasing', 'to', 'a', 'large', 'extent', 'via', 'a', 'spinecho', 'pulse', 'and', 'find', 'a', 'spinecho', 'decay', 'time', 'of', 'about', '05', 'microseconds', 'at', '70', 'mt', 'these', 'results', 'are', 'in', 'the', 'range', 'of', 'theoretical', 'predictions', 'of', 'the', 'electron', 'spin', 'coherence', 'time', 'governed', 'by', 'the', 'dynamics', 'of', 'the', 'electronnuclear', 'system']] | [-0.14945036169284812, 0.2531178791810257, -0.04562659324773659, 0.046339215118608154, 0.018657093661693998, -0.10584715192313664, 0.05755094674056566, 0.3777265294562452, -0.2729142417262595, -0.3038441884698561, 0.03584968432439312, -0.2711570071741545, 0.0012509967469108792, 0.24261716438027528, 0.053556418646341905, 0.03613148093035516, 0.044673746424870424, 0.031061495589361023, -0.10980928834424748, -0.14961228189685455, 0.24736124074269566, 0.042455456178196564, 0.23971742029803303, 0.05822747295650725, 0.10222005274576637, 0.049595375202793196, 0.08455145748582883, -0.040620025634640254, -0.13295821836128688, 0.040577693231171, 0.20081246005765235, -0.020726997563122913, 0.22026392752125573, -0.45649872930684626, -0.1575081494744294, 0.014573986637585152, 0.14583440130459516, 0.19098813553304914, -0.07682964500362197, -0.29983417073694557, 0.03329573800035108, -0.16718217052626783, -0.119433011541752, -0.009715214550781708, 0.03220640422659926, 0.03457245136646984, -0.24616648027530083, 0.13631666971391845, 0.07824242381880489, 0.07123392240632362, -0.04521147115603806, -0.014114272900489876, 0.05949062813753979, 0.038376838413499245, 0.058499881227572374, 0.11462222322230585, 0.22465547910766104, -0.09793556308823799, -0.13027420181494492, 0.31794720083976596, -0.11078758357997195, -0.11994950533307229, 0.12898245710395992, -0.2829924490920698, -0.044579003570386425, 0.1782549747552436, 0.13996716238817988, 0.13890094393326974, -0.1554967322765431, 0.025221435576475833, 0.012351856000560265, 0.20714118774048984, 0.04461347448747032, 0.09377697302261367, 0.2619759946425732, 0.2122920395766134, 0.0039835100536807794, 0.11571939799334639, -0.21459488386216646, -0.09048810903914273, -0.22963291213202935, -0.14178608954534866, -0.19732790718038673, 0.17239070935353923, -0.07261134059458876, -0.09215853561629327, 0.46608153977789557, 0.13295897837871543, 0.17422343117113298, -0.02722840697074739, 0.27772201217997533, 0.10010237610773541, 0.08032292945203014, 0.041215971139116354, 0.27010022845262516, 0.24277332030424775, 0.12069356611643273, -0.35555271536353616, 0.020096927236479063, -0.04924331424542917] |
711.048 | A competing order scenario of two-gap behavior in hole doped cuprates | Angle-dependent studies of the gap function provide evidence for the
coexistence of two distinct gaps in hole doped cuprates, where the gap near the
nodal direction scales with the superconducting transition temperature $T_c$,
while that in the antinodal direction scales with the pseudogap temperature. We
present model calculations which show that most of the characteristic features
observed in the recent angle-resolved photoemission spectroscopy (ARPES) as
well as scanning tunneling microscopy (STM) two-gap studies are consistent with
a scenario in which the pseudogap has a non-superconducting origin in a
competing phase. Our analysis indicates that, near optimal doping,
superconductivity can quench the competing order at low temperatures, and that
some of the key differences observed between the STM and ARPES results can give
insight into the superlattice symmetry of the competing order.
| cond-mat.supr-con cond-mat.str-el | angledependent studies of the gap function provide evidence for the coexistence of two distinct gaps in hole doped cuprates where the gap near the nodal direction scales with the superconducting transition temperature t_c while that in the antinodal direction scales with the pseudogap temperature we present model calculations which show that most of the characteristic features observed in the recent angleresolved photoemission spectroscopy arpes as well as scanning tunneling microscopy stm twogap studies are consistent with a scenario in which the pseudogap has a nonsuperconducting origin in a competing phase our analysis indicates that near optimal doping superconductivity can quench the competing order at low temperatures and that some of the key differences observed between the stm and arpes results can give insight into the superlattice symmetry of the competing order | [['angledependent', 'studies', 'of', 'the', 'gap', 'function', 'provide', 'evidence', 'for', 'the', 'coexistence', 'of', 'two', 'distinct', 'gaps', 'in', 'hole', 'doped', 'cuprates', 'where', 'the', 'gap', 'near', 'the', 'nodal', 'direction', 'scales', 'with', 'the', 'superconducting', 'transition', 'temperature', 't_c', 'while', 'that', 'in', 'the', 'antinodal', 'direction', 'scales', 'with', 'the', 'pseudogap', 'temperature', 'we', 'present', 'model', 'calculations', 'which', 'show', 'that', 'most', 'of', 'the', 'characteristic', 'features', 'observed', 'in', 'the', 'recent', 'angleresolved', 'photoemission', 'spectroscopy', 'arpes', 'as', 'well', 'as', 'scanning', 'tunneling', 'microscopy', 'stm', 'twogap', 'studies', 'are', 'consistent', 'with', 'a', 'scenario', 'in', 'which', 'the', 'pseudogap', 'has', 'a', 'nonsuperconducting', 'origin', 'in', 'a', 'competing', 'phase', 'our', 'analysis', 'indicates', 'that', 'near', 'optimal', 'doping', 'superconductivity', 'can', 'quench', 'the', 'competing', 'order', 'at', 'low', 'temperatures', 'and', 'that', 'some', 'of', 'the', 'key', 'differences', 'observed', 'between', 'the', 'stm', 'and', 'arpes', 'results', 'can', 'give', 'insight', 'into', 'the', 'superlattice', 'symmetry', 'of', 'the', 'competing', 'order']] | [-0.16639941285954404, 0.1699246508798043, -0.11337050496607677, 0.06352609604284282, -0.036957276123042664, -0.15968900599751537, 0.10983350713522251, 0.3872927653839641, -0.2605060547250785, -0.2933522434514158, -0.032366049821659186, -0.3960320636175061, -0.11910787441604237, 0.17883601438481617, 0.06439118547265539, 0.018325869936872814, -0.060805154594642516, -0.07045229470365297, -0.1623437019377833, -0.21160882864972108, 0.33493756013033726, 0.04804263010137636, 0.3327512308628163, 0.1323221011890653, -0.009242449909313546, -0.028185039886650238, 0.13621019286935337, 0.0386596494105481, -0.19402460711017314, 0.013263480133512093, 0.3578451333020081, -0.09164885258060375, 0.2011248676518675, -0.4348804846917855, -0.2898999406131454, -0.028637472979141442, 0.18705422030264185, 0.10910643374490488, -0.10052739728583407, -0.26312681463838533, 0.034463838651022725, -0.08670359281982999, -0.10876418695294561, -0.11766239532930706, -0.07081001090198641, -0.029692889383606584, -0.20430032993872999, 0.14442498255378872, 0.02002706463388274, 0.09920159584565136, -0.14047819924654567, -0.10134481366382528, -0.0670728737680341, 0.03133631868728699, 0.11030686221472948, 0.08448018382822398, 0.08785469647770648, -0.07766016190231756, -0.1421818429931202, 0.2997852364299065, -0.039809537596488725, 0.013522497572019013, 0.17005902681258003, -0.26775822132996474, -0.08387329188737137, 0.14207088844921753, 0.02729086286765132, 0.0759384525186233, -0.09435729411046753, 0.05567276328095619, -0.06275768698911176, 0.20730417221073658, 0.040751178533848346, 0.11599760323421646, 0.27136892522507494, 0.23678603466202058, 0.042437312086574905, 0.07729699981811222, -0.17373195965241156, -0.03743539193204341, -0.2611067829838463, -0.14538520113174014, -0.2169907807642665, 0.009251316162430545, -0.08520270426529246, -0.16189046706009003, 0.42517150771441575, 0.1942929444098774, 0.27789928703675515, -0.06431776925189178, 0.2748278385732067, 0.09014090231285636, 0.06168852673616004, 0.03140548531335729, 0.2251089250623117, 0.08666922507686754, 0.10979661645673443, -0.3502521388701924, 0.11101293663817764, -0.029036188653656033] |
711.0481 | On q-deformed Stirling numbers | The purpose of this article is to introduce q-deformed Stirling numbers of
the first and second kinds. Relations between these numbers, Riemann zeta
function and q-Bernoulli numbers of higher order are given. Some relations
related to the classical Stirling numbers and Bernoulli numbers of higher order
are found. By using derivative operator to the generating function of the
q-deformed Stirling numbers of the second kinds, a new function is defined
which interpolates the q-deformed Stirling numbers of the second kinds at
negative integers. The recurrence relations of the Stirling numbers of the
first and second kind are given. In addition, relation between q-deformed
Stirling numbers and q-Bell numbers is obtained.
| math.NT math.GM | the purpose of this article is to introduce qdeformed stirling numbers of the first and second kinds relations between these numbers riemann zeta function and qbernoulli numbers of higher order are given some relations related to the classical stirling numbers and bernoulli numbers of higher order are found by using derivative operator to the generating function of the qdeformed stirling numbers of the second kinds a new function is defined which interpolates the qdeformed stirling numbers of the second kinds at negative integers the recurrence relations of the stirling numbers of the first and second kind are given in addition relation between qdeformed stirling numbers and qbell numbers is obtained | [['the', 'purpose', 'of', 'this', 'article', 'is', 'to', 'introduce', 'qdeformed', 'stirling', 'numbers', 'of', 'the', 'first', 'and', 'second', 'kinds', 'relations', 'between', 'these', 'numbers', 'riemann', 'zeta', 'function', 'and', 'qbernoulli', 'numbers', 'of', 'higher', 'order', 'are', 'given', 'some', 'relations', 'related', 'to', 'the', 'classical', 'stirling', 'numbers', 'and', 'bernoulli', 'numbers', 'of', 'higher', 'order', 'are', 'found', 'by', 'using', 'derivative', 'operator', 'to', 'the', 'generating', 'function', 'of', 'the', 'qdeformed', 'stirling', 'numbers', 'of', 'the', 'second', 'kinds', 'a', 'new', 'function', 'is', 'defined', 'which', 'interpolates', 'the', 'qdeformed', 'stirling', 'numbers', 'of', 'the', 'second', 'kinds', 'at', 'negative', 'integers', 'the', 'recurrence', 'relations', 'of', 'the', 'stirling', 'numbers', 'of', 'the', 'first', 'and', 'second', 'kind', 'are', 'given', 'in', 'addition', 'relation', 'between', 'qdeformed', 'stirling', 'numbers', 'and', 'qbell', 'numbers', 'is', 'obtained']] | [-0.24571124768448532, 0.20011781340618745, -0.012817417041808709, 0.14989341130915926, -0.11833585598805083, -0.035551303540518796, 0.027940801746391374, 0.21290833234718634, -0.3017168179017688, -0.34587432954186964, 0.01421260507350121, -0.2984634339467648, -0.19885399975224372, 0.2584755111596795, -0.028298593297122268, 0.03391813737588054, -0.06368073145965747, 0.11013061873648965, -0.0904917788666186, -0.2474804582189632, 0.4065881372181647, -0.04391656886068506, 0.21934435393131518, -0.026225403703133993, 0.08941729855510074, -0.07809376873400643, -0.021761224887103116, -0.04360609593878099, -0.15081130368170464, 0.15157118259390834, 0.21874259240335758, 0.0772729088090907, 0.26658715602488964, -0.38845304645802997, -0.037241634639373064, 0.1783476728228254, 0.0665921885349335, -0.03190907700854533, 0.024626774841560683, -0.2322647585832608, 0.06434361422498532, -0.21966526823208044, -0.1407050874421732, -0.09190079609120111, 0.04095120642573462, 0.21544801549336642, -0.2568508459238011, 0.10610285220633543, 0.03189457254484296, 0.06907166203979505, 0.021597906695080733, -0.18152482711940732, -0.005023510707969512, 0.10593837827717492, 0.02269556369299257, -0.05916066397699194, -0.03304919808966304, -0.13861860552110597, -0.1659793770111619, 0.3788027456884674, 0.0248807535545234, -0.23244549651895094, 0.08867128737646779, -0.2232619254281659, -0.2202291119407965, 0.045316506763318755, 0.08439395091402421, 0.1457386807188255, -0.06016485011119635, -0.0164618326822048, -0.06245400841612745, 0.10930775815125453, 0.21846444740327536, 0.008522825888059008, 0.18919402742843835, 0.0029090037996615838, -0.06715671727519243, 0.2795427716636193, -0.04572649701677878, -0.13624720377932995, -0.37328578490729725, -0.2782786455338633, -0.24023230832685297, 0.02338776430713201, -0.12055952771320627, -0.13951969153563912, 0.3623803225559516, 0.11300405456819101, 0.15800491441895656, 0.1541142734974503, 0.21532893553376198, 0.2427260423882292, 0.05327742026879563, -0.050182840081974184, 0.07697995516835764, 0.2823254086521514, 0.1278834802465975, -0.110352340091336, -0.007132380675319411, 0.2694943761324869] |
711.0482 | Transient Phenomena in Anomalous X-ray Pulsars | In 2003 a previously unpulsed Einstein and ROSAT source cataloged as soft and
dim (Lx of few 10^33 ergs) thermal emitting object, namely XTE J1810-197, was
identified as the first unambiguous transient Anomalous X-ray Pulsar. Two years
later this source was also found to be a bright highly polarized transient
radio pulsar, a unique property among both AXPs and radio pulsars. In September
2006 the Swift Burst Alert Telescope (BAT) detected an intense burst from the
candidate AXP CXOU J164710.2-455216, which entered in an outburst state
reaching a peak emission of at least a factor of 300 higher than quiescence.
Here, we briefly outline the recent results concerning the outburst phenomena
observed in these two AXPs. In particular, XTE J1810-197 has probed to be a
unique laboratory to monitor the timing and spectral properties of a
cooling/fading AXP, while new important information have been inferred from
X-ray and radio band simultaneous observations. CXOU J164710.2-455216 has been
monitored in X-rays and radio bands since the very beginning of its outbursting
state allowing us to cover the first phases of the outburst and to study the
timing and spectral behavior during the first months.
| astro-ph | in 2003 a previously unpulsed einstein and rosat source cataloged as soft and dim lx of few 1033 ergs thermal emitting object namely xte j1810197 was identified as the first unambiguous transient anomalous xray pulsar two years later this source was also found to be a bright highly polarized transient radio pulsar a unique property among both axps and radio pulsars in september 2006 the swift burst alert telescope bat detected an intense burst from the candidate axp cxou j1647102455216 which entered in an outburst state reaching a peak emission of at least a factor of 300 higher than quiescence here we briefly outline the recent results concerning the outburst phenomena observed in these two axps in particular xte j1810197 has probed to be a unique laboratory to monitor the timing and spectral properties of a coolingfading axp while new important information have been inferred from xray and radio band simultaneous observations cxou j1647102455216 has been monitored in xrays and radio bands since the very beginning of its outbursting state allowing us to cover the first phases of the outburst and to study the timing and spectral behavior during the first months | [['in', '2003', 'a', 'previously', 'unpulsed', 'einstein', 'and', 'rosat', 'source', 'cataloged', 'as', 'soft', 'and', 'dim', 'lx', 'of', 'few', '1033', 'ergs', 'thermal', 'emitting', 'object', 'namely', 'xte', 'j1810197', 'was', 'identified', 'as', 'the', 'first', 'unambiguous', 'transient', 'anomalous', 'xray', 'pulsar', 'two', 'years', 'later', 'this', 'source', 'was', 'also', 'found', 'to', 'be', 'a', 'bright', 'highly', 'polarized', 'transient', 'radio', 'pulsar', 'a', 'unique', 'property', 'among', 'both', 'axps', 'and', 'radio', 'pulsars', 'in', 'september', '2006', 'the', 'swift', 'burst', 'alert', 'telescope', 'bat', 'detected', 'an', 'intense', 'burst', 'from', 'the', 'candidate', 'axp', 'cxou', 'j1647102455216', 'which', 'entered', 'in', 'an', 'outburst', 'state', 'reaching', 'a', 'peak', 'emission', 'of', 'at', 'least', 'a', 'factor', 'of', '300', 'higher', 'than', 'quiescence', 'here', 'we', 'briefly', 'outline', 'the', 'recent', 'results', 'concerning', 'the', 'outburst', 'phenomena', 'observed', 'in', 'these', 'two', 'axps', 'in', 'particular', 'xte', 'j1810197', 'has', 'probed', 'to', 'be', 'a', 'unique', 'laboratory', 'to', 'monitor', 'the', 'timing', 'and', 'spectral', 'properties', 'of', 'a', 'coolingfading', 'axp', 'while', 'new', 'important', 'information', 'have', 'been', 'inferred', 'from', 'xray', 'and', 'radio', 'band', 'simultaneous', 'observations', 'cxou', 'j1647102455216', 'has', 'been', 'monitored', 'in', 'xrays', 'and', 'radio', 'bands', 'since', 'the', 'very', 'beginning', 'of', 'its', 'outbursting', 'state', 'allowing', 'us', 'to', 'cover', 'the', 'first', 'phases', 'of', 'the', 'outburst', 'and', 'to', 'study', 'the', 'timing', 'and', 'spectral', 'behavior', 'during', 'the', 'first', 'months']] | [-0.07146736103992578, 0.1292747814878419, -0.09530311359789866, 0.12837660326305483, -0.175442389251557, -0.14197837791273965, 0.07490470242827975, 0.47598339889335073, -0.18235143227319853, -0.3562332335396314, 0.1609103265407383, -0.3443964168561028, -0.05227422297454356, 0.2714223284566902, -0.0412855572896127, -0.0070160835282267586, 0.07856112856086324, -0.05845407790050925, -0.04385252360800642, -0.23490365629961485, 0.18395612823547727, 0.11100410978085512, 0.1638068033306718, -0.02074283775166457, 0.11072328990491116, -0.059427415642458264, -0.04660292731168929, -0.08727065381881688, -0.06327262352871664, -0.013232697498696948, 0.2760981204431914, 0.11634668712601728, 0.16558371510366418, -0.3617556800978034, -0.25062506032086107, 0.06515417436781737, 0.12903282351801612, -0.08256854631277337, 0.014290171402326118, -0.3367377664815849, 0.031680025577594535, -0.28440283931406574, -0.1826203591848543, 0.08937548758359674, 0.1218180036786651, 0.012442841481951343, -0.10880327666987767, 0.07586277701696308, 0.012928148060372704, 0.01935365509865952, -0.18311619346230584, -0.01576669738720615, 0.025048536698928797, 0.07810807674976934, 0.10189837726571778, 0.08451283871774021, 0.07548212737859232, -0.13040846509795578, -0.17261287361610173, 0.3117986406085047, -0.03629328906622957, 0.17493877985090486, 0.20181615111730133, -0.23181657258950536, -0.2808850573239292, 0.22275212536570835, 0.1068076109879343, 0.09888773598264493, -0.20714915790521973, -0.013187811671313098, -0.034548865216759796, 0.26334225920185017, 0.07195303021047596, 0.11265205580214556, 0.31809152829392534, 0.1329605810457587, -0.01760642196134669, 0.18806260937815092, -0.29995031565115715, 0.06269202552277459, -0.19487645268606033, -0.05502525324499264, -0.15454414622926432, 0.16429265683878905, -0.03667340010431405, -0.1051752203685373, 0.4452597222605437, 0.048790277488388274, 0.1448687462901687, -0.04464030307071547, 0.26161323887105853, 0.11547758903827382, 0.018150676551387104, 0.17213325401651064, 0.3881173094256698, 0.139448512283383, 0.17979896317738356, -0.20242359761529022, 0.09890366848424097, -0.007102658997743308] |
711.0483 | Prospects for the Zee-Babu Model at the LHC and low energy experiments | We analyze the viability of the Zee-Babu model as an explanation of observed
neutrino masses and mixings and the possibility that the model is confirmed or
discarded in experiments planned for the very close future. The allowed
parameter space is studied analytically by using some approximations and
partial data. Then, a complete scanning of all parameters and constraints is
performed numerically by using Monte Carlo methods. The cleanest signal of the
model will be the detection of the doubly charged scalar at the LHC and its
correlation with measurements of the branching ratio of $\mu\to e\gamma$ at the
MEG experiment. In addition, the model offers interesting predictions for
$\tau^{-}\to\mu^{+}\mu^{-}\mu^{-}$ experiments, lepton-hadron universality
tests, the $\theta_{13}$ mixing in neutrino oscillations and the
$<m_{\nu}>_{ee}$ parameter of neutrinoless double beta decay.
| hep-ph | we analyze the viability of the zeebabu model as an explanation of observed neutrino masses and mixings and the possibility that the model is confirmed or discarded in experiments planned for the very close future the allowed parameter space is studied analytically by using some approximations and partial data then a complete scanning of all parameters and constraints is performed numerically by using monte carlo methods the cleanest signal of the model will be the detection of the doubly charged scalar at the lhc and its correlation with measurements of the branching ratio of muto egamma at the meg experiment in addition the model offers interesting predictions for tautomumumu experiments leptonhadron universality tests the theta_13 mixing in neutrino oscillations and the m_nu_ee parameter of neutrinoless double beta decay | [['we', 'analyze', 'the', 'viability', 'of', 'the', 'zeebabu', 'model', 'as', 'an', 'explanation', 'of', 'observed', 'neutrino', 'masses', 'and', 'mixings', 'and', 'the', 'possibility', 'that', 'the', 'model', 'is', 'confirmed', 'or', 'discarded', 'in', 'experiments', 'planned', 'for', 'the', 'very', 'close', 'future', 'the', 'allowed', 'parameter', 'space', 'is', 'studied', 'analytically', 'by', 'using', 'some', 'approximations', 'and', 'partial', 'data', 'then', 'a', 'complete', 'scanning', 'of', 'all', 'parameters', 'and', 'constraints', 'is', 'performed', 'numerically', 'by', 'using', 'monte', 'carlo', 'methods', 'the', 'cleanest', 'signal', 'of', 'the', 'model', 'will', 'be', 'the', 'detection', 'of', 'the', 'doubly', 'charged', 'scalar', 'at', 'the', 'lhc', 'and', 'its', 'correlation', 'with', 'measurements', 'of', 'the', 'branching', 'ratio', 'of', 'muto', 'egamma', 'at', 'the', 'meg', 'experiment', 'in', 'addition', 'the', 'model', 'offers', 'interesting', 'predictions', 'for', 'tautomumumu', 'experiments', 'leptonhadron', 'universality', 'tests', 'the', 'theta_13', 'mixing', 'in', 'neutrino', 'oscillations', 'and', 'the', 'm_nu_ee', 'parameter', 'of', 'neutrinoless', 'double', 'beta', 'decay']] | [-0.06348854329962705, 0.2004391353449364, -0.033161451291562116, 0.1506970230684601, -0.0344880546508648, -0.1586921335911029, 0.09286715852067573, 0.3064009218614956, -0.22311996483404073, -0.2948362676288525, 0.08539328236747679, -0.3199045759056389, -0.07529589903015221, 0.21057974107134214, 0.10617550735696568, 0.11644226539237934, 0.08399378349895414, -0.0010280696587869897, -0.08030331605004903, -0.20488018363539595, 0.25469537783828855, 0.14941892372007715, 0.22317745157670288, 0.06325202479274594, 0.06500125144975755, -0.027190278117359412, -0.053956369520165026, -0.039813723338966156, -0.16797016363597095, 0.02797652576555265, 0.1896746863858425, 0.13825845293104067, 0.1397007836312696, -0.3779088594747009, -0.14435637542919721, 0.16808325963984316, 0.13810742529312847, 0.05237168207167997, -0.08342518721110537, -0.33761528285685927, 0.06462999759378363, -0.174750063335523, -0.12803500586596783, -0.08863008652406279, -0.02644256995699834, -0.030151031614877866, -0.35105191479669884, 0.08696397825224267, -0.057545478506654035, -0.009371810907396139, -0.021611601187942142, -0.1549232028555707, 0.002267431493237382, 0.061487140565077425, 0.11874437790729075, -0.032237726845778525, 0.09818730114056962, -0.15551577032601926, -0.17194598167316144, 0.3800647415628191, -0.09629821885437195, -0.17547632491914555, 0.12003475769597571, -0.2146950283786282, -0.14342797064455226, 0.11254157160874456, 0.15714572031492935, 0.10571133538905997, -0.17229717614100082, 0.1439079925448823, -0.045092827789630974, 0.1428813161328435, 0.021061008315882646, 4.542857641354203e-05, 0.2296564564894652, 0.2592920840252191, 0.005598888150416315, 0.05210553654524119, -0.17254249765028362, -0.04281474123854423, -0.36683205064036883, -0.11241127620996849, -0.11975256360165076, 0.007750183114694664, -0.07849741727704895, -0.07869448568817461, 0.4053053164782341, 0.1512308778874285, 0.2194526038456388, 0.03930569866861333, 0.3064844353139051, 0.0866929411477031, 0.047536234533254174, -0.03299962445089477, 0.3188685076686397, 0.1470734092690691, 0.08705634248326533, -0.2724412631505402, 0.08718579029846296, 0.017788214066968067] |
711.0484 | Idempotent ultrafilters and polynomial recurrence | We give a new proof of a polynomial recurrence result due to Bergelson,
Furstenberg, and McCutcheon, using idempotent ultrafilters instead of
IP-limits.
| math.DS | we give a new proof of a polynomial recurrence result due to bergelson furstenberg and mccutcheon using idempotent ultrafilters instead of iplimits | [['we', 'give', 'a', 'new', 'proof', 'of', 'a', 'polynomial', 'recurrence', 'result', 'due', 'to', 'bergelson', 'furstenberg', 'and', 'mccutcheon', 'using', 'idempotent', 'ultrafilters', 'instead', 'of', 'iplimits']] | [-0.14141094631382398, 0.05753220710903406, -0.1790590179818017, 0.13210670392782914, -0.1427871239221921, -0.13882946387110723, 0.1360187234268302, 0.2248334429625954, -0.3676302202400707, -0.16427825122982972, 0.12217549134844116, -0.2320105829054401, -0.11649331175500438, 0.23763037561660721, -0.23490563239015283, 0.012204891869000025, 0.09988397213497333, -0.04830291556815306, -0.0326751996984794, -0.28545357528630466, 0.3471001892217568, -0.05595343555545523, 0.11845636383319895, 0.13235039512316385, 0.11979696921826828, 0.03845569019072822, -0.11035112779410113, -0.08118466678119841, -0.18753568644058846, 0.14410958620941355, 0.271360143963691, 0.16865326783486775, 0.29491059357921284, -0.37273656403911964, -0.004163603852724745, 0.1598013896450755, 0.11103978515824392, 0.07071047914879662, -0.056803722511089984, -0.3346665058107603, 0.06546460367029622, -0.18461973415798552, -0.15578110019365946, -0.1229040380234697, 0.12525190572653497, 0.08906592894345522, -0.32008218565689667, 0.059787260523686804, 0.291241402782145, 0.21282208812910886, -0.0006870559106270472, -0.08094372398530443, 0.05625828914344311, -0.040148851639103325, 0.022067219639817875, 0.053363829341140534, -0.015798969083421287, 0.06953442008012817, -0.17540627460749375, 0.3034070617120181, -0.058539892408242894, -0.15090645973881087, 0.18225406775517122, -0.12074053174971293, -0.20774594446023306, 0.08125513029240426, 0.03595534681032101, 0.12110147946735933, -0.07981467925544296, 0.15169734454303535, -0.1950834577991849, 0.1013177941065459, 0.24009477781752744, 0.0595349921800551, 0.053103189826721235, 0.09157715159069214, 0.09454586055307161, 0.16657664919538157, 0.10718054945270221, 0.05775498374853106, -0.2662903462492284, -0.2016455570147151, -0.19829929061233997, 0.20080126489379577, -0.10532355678775016, -0.24950674721705063, 0.4104456997343472, 0.1350718809380418, 0.13576457232591652, 0.20349857144589936, 0.1310790479183197, 0.06732565953972794, 0.014271394416157688, -0.01927997229532117, 0.0861317285203508, 0.3063016391935803, 0.0262093140433232, -0.09736640307874907, 0.026486908085644245, 0.379780888490911] |
711.0485 | Hole transport in p-type GaAs quantum dots and point contacts | Strong spin-orbit interaction characteristic for p-type GaAs systems, makes
such systems promising for the realization of spintronic devices. Here we
report on transport measurements in nanostructures fabricated on p-type,
C-doped GaAs heterostructures by scanning probe oxidation lithography. We
observe conductance quantization in a quantum point contact, as well as
pronounced Coulomb resonances in two quantum dots with different geometries.
Charging energies for both dots, extracted from Coulomb diamond measurements
are in agreement with the lithographic dimensions of the dots. The absence of
excited states in Coulomb diamond measurements indicates that the dots are in
the multi-level transport regime.
| cond-mat.mes-hall | strong spinorbit interaction characteristic for ptype gaas systems makes such systems promising for the realization of spintronic devices here we report on transport measurements in nanostructures fabricated on ptype cdoped gaas heterostructures by scanning probe oxidation lithography we observe conductance quantization in a quantum point contact as well as pronounced coulomb resonances in two quantum dots with different geometries charging energies for both dots extracted from coulomb diamond measurements are in agreement with the lithographic dimensions of the dots the absence of excited states in coulomb diamond measurements indicates that the dots are in the multilevel transport regime | [['strong', 'spinorbit', 'interaction', 'characteristic', 'for', 'ptype', 'gaas', 'systems', 'makes', 'such', 'systems', 'promising', 'for', 'the', 'realization', 'of', 'spintronic', 'devices', 'here', 'we', 'report', 'on', 'transport', 'measurements', 'in', 'nanostructures', 'fabricated', 'on', 'ptype', 'cdoped', 'gaas', 'heterostructures', 'by', 'scanning', 'probe', 'oxidation', 'lithography', 'we', 'observe', 'conductance', 'quantization', 'in', 'a', 'quantum', 'point', 'contact', 'as', 'well', 'as', 'pronounced', 'coulomb', 'resonances', 'in', 'two', 'quantum', 'dots', 'with', 'different', 'geometries', 'charging', 'energies', 'for', 'both', 'dots', 'extracted', 'from', 'coulomb', 'diamond', 'measurements', 'are', 'in', 'agreement', 'with', 'the', 'lithographic', 'dimensions', 'of', 'the', 'dots', 'the', 'absence', 'of', 'excited', 'states', 'in', 'coulomb', 'diamond', 'measurements', 'indicates', 'that', 'the', 'dots', 'are', 'in', 'the', 'multilevel', 'transport', 'regime']] | [-0.16443694820057372, 0.189445220010013, 0.020339707492337544, -0.030509922086208945, 0.10530732935104443, -0.27926144656744234, 0.020442305790849637, 0.4606364128008789, -0.2211402226762124, -0.3084923297128811, -0.043624524756486774, -0.3793649198677467, -0.1296111955402457, 0.26179960774904004, 0.02272674361509936, 0.06296193823622236, 0.06202916374278008, -0.12849019379450047, -0.06993626371472694, -0.14773011213995288, 0.26749854918797406, 0.011747238385415047, 0.31537682258010824, 0.12261334141925434, 0.028797671467312897, 0.041822536278287976, 0.19553566806265438, 0.010791627718705912, -0.17529963378175886, 0.06113221332114855, 0.29461923280638186, -0.20144268749899477, 0.18298217103512462, -0.5148829466530255, -0.20639082705792117, -0.0541593779165925, 0.17809244403045396, 0.19578147274727115, -0.15392241267040752, -0.2852460276478027, 0.044850711349625975, -0.08423612164618562, -0.048497385304861904, -0.07811904707163268, -0.036444963339112735, 0.002793621628222113, -0.23448400400407918, 0.04794616982036708, -0.005386157900959786, 0.06160687780653944, -0.04737497870148069, -0.12557267245827053, -0.023095807908768102, 0.05209269137739451, -0.07678273137259696, -0.04078306819369294, 0.2659057430751926, -0.11309599079196436, -0.2182933849624681, 0.3463545263630851, -0.027201153109876478, -0.09714229376535216, 0.17163855257225508, -0.2192341893797322, -0.0653290213703425, 0.08041457799310815, 0.10430637608776439, 0.14245450279048208, -0.15532471418228685, 0.1072795657198686, 0.05218324210133632, 0.11586557279432393, 0.0967883970208314, 0.1825096896719348, 0.25391111061053007, 0.21687184317911767, 0.04799424424026238, 0.10236655012704432, -0.15342772542499006, -0.06299552991416077, -0.23420511845176165, -0.20039948063893054, -0.2813981331656782, 0.17870053684586013, -0.07743025418580035, -0.18945659003315532, 0.33978716827357636, 0.12807727498667582, 0.1724804178217654, -0.09553839484400743, 0.26256593753944857, 0.09178054646816941, 0.11928297723738515, -0.06158820457034269, 0.25884624613372953, 0.21822949913472925, 0.09000494481273452, -0.29155539039626943, 0.03750812481941503, -0.054286197459857376] |
711.0486 | Triangular Peg Solitaire Unlimited | Triangular peg solitaire is a well-known one-person game or puzzle. When one
peg captures many pegs consecutively, this is called a sweep. We investigate
whether the game can end in a dramatic fashion, with one peg sweeping all
remaining pegs off the board. For triangular boards of side 6 and 8 (with 21
and 36 holes, respectively) the geometrically longest sweep can occur as the
final move in a game. On larger triangular boards, we demonstrate how to
construct solutions that finish with arbitrarily long sweeps. We also consider
the problem of finding solutions that minimize the total number of moves (where
a move is one or more consecutive jumps by the same peg).
| math.CO cs.DM | triangular peg solitaire is a wellknown oneperson game or puzzle when one peg captures many pegs consecutively this is called a sweep we investigate whether the game can end in a dramatic fashion with one peg sweeping all remaining pegs off the board for triangular boards of side 6 and 8 with 21 and 36 holes respectively the geometrically longest sweep can occur as the final move in a game on larger triangular boards we demonstrate how to construct solutions that finish with arbitrarily long sweeps we also consider the problem of finding solutions that minimize the total number of moves where a move is one or more consecutive jumps by the same peg | [['triangular', 'peg', 'solitaire', 'is', 'a', 'wellknown', 'oneperson', 'game', 'or', 'puzzle', 'when', 'one', 'peg', 'captures', 'many', 'pegs', 'consecutively', 'this', 'is', 'called', 'a', 'sweep', 'we', 'investigate', 'whether', 'the', 'game', 'can', 'end', 'in', 'a', 'dramatic', 'fashion', 'with', 'one', 'peg', 'sweeping', 'all', 'remaining', 'pegs', 'off', 'the', 'board', 'for', 'triangular', 'boards', 'of', 'side', '6', 'and', '8', 'with', '21', 'and', '36', 'holes', 'respectively', 'the', 'geometrically', 'longest', 'sweep', 'can', 'occur', 'as', 'the', 'final', 'move', 'in', 'a', 'game', 'on', 'larger', 'triangular', 'boards', 'we', 'demonstrate', 'how', 'to', 'construct', 'solutions', 'that', 'finish', 'with', 'arbitrarily', 'long', 'sweeps', 'we', 'also', 'consider', 'the', 'problem', 'of', 'finding', 'solutions', 'that', 'minimize', 'the', 'total', 'number', 'of', 'moves', 'where', 'a', 'move', 'is', 'one', 'or', 'more', 'consecutive', 'jumps', 'by', 'the', 'same', 'peg']] | [-0.13717358071548996, 0.15802274412361153, -0.045404259115457535, 0.04996462653415572, -0.09130888071989543, -0.2301642002840118, 0.09219846358980265, 0.3773566609607977, -0.2971844325462977, -0.34349496541708185, 0.15787546764119742, -0.3459799111526656, -0.13059739626764336, 0.1273830794247292, -0.08949235857417398, -0.06391634415679921, 0.09680919664944604, 0.06789103549856104, -0.018844991319878192, -0.28411340396728757, 0.22739532022132425, -0.031493953345425166, 0.16027290183282866, -0.021035710999153946, 0.0874024361224943, 0.03484251669183243, 0.02508128474654401, 0.06830113523398738, -0.11029597399044035, 0.03806788026122376, 0.2085872960410677, 0.10112597251294606, 0.29769335549912956, -0.44628180022629205, -0.09761658320285119, 0.09231248882746226, 0.16973642296190455, 0.10934654353676658, -0.03975795973217413, -0.16504064949817562, 0.10321749952875012, -0.1617073825123442, -0.09499074847094323, 0.06920965849176834, 0.05837741252361683, 0.042148023431205696, -0.1986766710934605, -0.05111478766137448, 0.0663206163393497, 0.0103183523302473, -0.005204351974259082, -0.12020307923095268, -0.017298089132007016, 0.15954402615566404, 0.020351339842339878, 0.04201242988193898, 0.07837336167301003, -0.09877570642244168, -0.16714401998589828, 0.3644581222191878, -0.06705545396247894, -0.15039527069842606, 0.16638592138718977, -0.143650355387332, -0.12963588805379053, 0.14685583962413498, 0.1405078010029045, 0.1557223540363147, -0.1257814407506151, 0.04321393998760501, -0.09838834110843508, 0.22513216183308446, 0.1411637586476118, -0.05751063866058789, 0.22246478759405905, 0.16424145817290992, 0.11479395033185076, 0.2040940313273224, -0.11140772479937591, -0.14110246019666656, -0.21993008780746573, -0.1384712087047662, -0.09534316289487801, 0.050869702900710856, -0.08071079916752703, -0.1813667164380221, 0.36125633971798315, 0.09060321454256937, 0.2199178047870335, 0.054188947004085844, 0.25871817579890805, 0.08883870524873042, 0.06988854019232747, 0.11591814622168609, 0.17742533297604768, 0.06944961487438138, 0.08634555714384637, -0.2085955351725907, 0.042869490440608116, 0.09912039603825593] |
711.0487 | On connecting the dynamics of the chromosphere and transition region
with Hinode SOT and EIS | We use coordinated Hinode SOT/EIS observations that include high-resolution
magnetograms, chromospheric and TR imaging and TR/coronal spectra in a first
test to study how the dynamics of the TR are driven by the highly dynamic
photospheric magnetic fields and the ubiquitous chromospheric waves. Initial
analysis shows that these connections are quite subtle and require a
combination of techniques including magnetic field extrapolations,
frequency-filtered time-series and comparisons with synthetic chromospheric and
TR images from advanced 3D numerical simulations. As a first result, we find
signatures of magnetic flux emergence as well as 3 and 5 mHz wave power above
regions of enhanced photospheric magnetic field in both chromospheric,
transition region and coronal emission.
| astro-ph | we use coordinated hinode soteis observations that include highresolution magnetograms chromospheric and tr imaging and trcoronal spectra in a first test to study how the dynamics of the tr are driven by the highly dynamic photospheric magnetic fields and the ubiquitous chromospheric waves initial analysis shows that these connections are quite subtle and require a combination of techniques including magnetic field extrapolations frequencyfiltered timeseries and comparisons with synthetic chromospheric and tr images from advanced 3d numerical simulations as a first result we find signatures of magnetic flux emergence as well as 3 and 5 mhz wave power above regions of enhanced photospheric magnetic field in both chromospheric transition region and coronal emission | [['we', 'use', 'coordinated', 'hinode', 'soteis', 'observations', 'that', 'include', 'highresolution', 'magnetograms', 'chromospheric', 'and', 'tr', 'imaging', 'and', 'trcoronal', 'spectra', 'in', 'a', 'first', 'test', 'to', 'study', 'how', 'the', 'dynamics', 'of', 'the', 'tr', 'are', 'driven', 'by', 'the', 'highly', 'dynamic', 'photospheric', 'magnetic', 'fields', 'and', 'the', 'ubiquitous', 'chromospheric', 'waves', 'initial', 'analysis', 'shows', 'that', 'these', 'connections', 'are', 'quite', 'subtle', 'and', 'require', 'a', 'combination', 'of', 'techniques', 'including', 'magnetic', 'field', 'extrapolations', 'frequencyfiltered', 'timeseries', 'and', 'comparisons', 'with', 'synthetic', 'chromospheric', 'and', 'tr', 'images', 'from', 'advanced', '3d', 'numerical', 'simulations', 'as', 'a', 'first', 'result', 'we', 'find', 'signatures', 'of', 'magnetic', 'flux', 'emergence', 'as', 'well', 'as', '3', 'and', '5', 'mhz', 'wave', 'power', 'above', 'regions', 'of', 'enhanced', 'photospheric', 'magnetic', 'field', 'in', 'both', 'chromospheric', 'transition', 'region', 'and', 'coronal', 'emission']] | [-0.09278026420929977, 0.17753764483231035, 0.026239671534858643, 0.12202889799055729, -0.08011901929805225, -0.08002345446412536, 0.005540762894617563, 0.4607147427783771, -0.19217216242104768, -0.37661094640127635, 0.1269882883813063, -0.25532341891561045, -0.1874950448601422, 0.2351641416126354, 0.03233987455949484, -0.005159297737885605, 0.06955152408812534, -0.054838874529708516, -0.057366720828312366, -0.09826779071855443, 0.30445158221674234, 0.08800697288983925, 0.23840524964034557, 0.0007962546141326046, 0.019710331401703033, -0.10922476959160783, -0.06803497794634578, 0.08631606764075431, -0.08914995014902988, 0.04196940555914559, 0.205873520816253, 0.13504361722787672, 0.19725947869010269, -0.48588580340993676, -0.2767450110732832, -0.034679489114999094, 0.17099866477603262, 0.03895770780932666, -0.06398051403124225, -0.28170873944393615, 0.055567909135821866, -0.07083319493421268, -0.059029894253895196, -0.09300844983240082, -0.0039625148484695024, 0.0538361508293416, -0.3366530599241907, 0.0824637996985323, 0.003903195565693419, 0.21849557381461968, -0.1302529180507091, -0.023759605947204613, -0.07603671201822264, 0.12513538340466435, 0.07233658838509159, 0.06842451869637113, 0.1607417858539107, -0.1465619521469555, -0.12481262382458556, 0.3291450749066743, -0.09480476349761541, -0.007144148783250289, 0.22336838052354074, -0.214599269869822, -0.13539558572440663, 0.19109634662811664, 0.15957493241876364, 0.1171527454756539, -0.07884450644593347, -0.011843156988139857, -0.024486217461394105, 0.16647539827972652, 0.04412164041052826, 0.042806186886842956, 0.24463558263060722, 0.08613297859291462, 0.002862901473417878, 0.10697799919765781, -0.2799344394186681, -0.038668170770291575, -0.26668556833068247, -0.11656567075035788, -0.10922453310975636, 0.04019970913690155, -0.07839165209602057, -0.18783295999535105, 0.4064319052140821, 0.2059029258194972, 0.1939538138833913, -0.021929848139089617, 0.33791943199678576, 0.09347724864703857, 0.03896182719194754, 0.12187105811582032, 0.26102624544979663, 0.2482792885402556, 0.23508982328190045, -0.22352984329706735, -0.04088498717597262, 0.025579339045692574] |
711.0488 | Holographic Dark Matter and Higgs | We identify possible dark matter candidates within the class of strongly
interacting models where electroweak symmetry breaking is triggered by a light
composite Higgs boson. In these models, the Higgs boson emerges as a
Holographic pseudo-goldstone boson, while dark matter can be identified as a
fermionic composite state X^0, which is made stable through a conserved
(``dark'') quantum number. An effective lagrangian description of both the
Higgs and dark matter is proposed, that includes higher-dimensional operators
suppressed by an scale \Lambda_i. These operators will induce deviations from
the standard Higgs properties that could be meassured at future colliders
(LHC,ILC), and thus provide information on the dark matter scale. The dark
matter X^0, is expected to have a mass of order O(TeV), which is in agreement
with the values extracted from the cosmological bounds and the experimental
searches for dark matter.
| hep-ph | we identify possible dark matter candidates within the class of strongly interacting models where electroweak symmetry breaking is triggered by a light composite higgs boson in these models the higgs boson emerges as a holographic pseudogoldstone boson while dark matter can be identified as a fermionic composite state x0 which is made stable through a conserved dark quantum number an effective lagrangian description of both the higgs and dark matter is proposed that includes higherdimensional operators suppressed by an scale lambda_i these operators will induce deviations from the standard higgs properties that could be meassured at future colliders lhcilc and thus provide information on the dark matter scale the dark matter x0 is expected to have a mass of order otev which is in agreement with the values extracted from the cosmological bounds and the experimental searches for dark matter | [['we', 'identify', 'possible', 'dark', 'matter', 'candidates', 'within', 'the', 'class', 'of', 'strongly', 'interacting', 'models', 'where', 'electroweak', 'symmetry', 'breaking', 'is', 'triggered', 'by', 'a', 'light', 'composite', 'higgs', 'boson', 'in', 'these', 'models', 'the', 'higgs', 'boson', 'emerges', 'as', 'a', 'holographic', 'pseudogoldstone', 'boson', 'while', 'dark', 'matter', 'can', 'be', 'identified', 'as', 'a', 'fermionic', 'composite', 'state', 'x0', 'which', 'is', 'made', 'stable', 'through', 'a', 'conserved', 'dark', 'quantum', 'number', 'an', 'effective', 'lagrangian', 'description', 'of', 'both', 'the', 'higgs', 'and', 'dark', 'matter', 'is', 'proposed', 'that', 'includes', 'higherdimensional', 'operators', 'suppressed', 'by', 'an', 'scale', 'lambda_i', 'these', 'operators', 'will', 'induce', 'deviations', 'from', 'the', 'standard', 'higgs', 'properties', 'that', 'could', 'be', 'meassured', 'at', 'future', 'colliders', 'lhcilc', 'and', 'thus', 'provide', 'information', 'on', 'the', 'dark', 'matter', 'scale', 'the', 'dark', 'matter', 'x0', 'is', 'expected', 'to', 'have', 'a', 'mass', 'of', 'order', 'otev', 'which', 'is', 'in', 'agreement', 'with', 'the', 'values', 'extracted', 'from', 'the', 'cosmological', 'bounds', 'and', 'the', 'experimental', 'searches', 'for', 'dark', 'matter']] | [-0.11976612025339689, 0.2703793344106608, -0.1258418800808223, 0.16401465022021772, -0.11230047781552588, -0.1750753303856722, -0.03027408257060285, 0.28579887612057586, -0.2206107167294249, -0.3306210886853348, 0.03711517033765891, -0.28304865220561626, -0.016102653691944267, 0.1439899810456804, 0.07002876085794664, 0.05989039463799729, -0.009561628622967484, 0.04582267877101133, -0.04473686762295464, -0.2712689115299976, 0.308186548861808, 0.02891233321861364, 0.17852528393268585, 0.049551781084820896, 0.06698944642807224, -0.013548052573709616, 0.00039648578635283877, -0.05955545191120889, -0.15019239890752942, 0.07306195320228913, 0.20788454599579773, 0.05488619883877358, 0.15231619702618834, -0.3544663199755762, -0.2140543620700815, 0.20848644235770086, 0.17191288799180515, 0.12233229801391385, -0.12658140644447746, -0.37000914849340916, 0.09048464863486255, -0.20990527018272717, -0.11453330121668322, -0.09108613199454599, -0.07218024795874953, -0.0853423678919041, -0.296575504188825, 0.10897199693697206, -0.07565283550648019, -0.0514159708117534, -0.028846050866663323, -0.12525083255022765, -0.09561996873401638, -0.04490650674394731, 0.13666697489596638, 0.013037032925889694, 0.2214595188361792, -0.27436137024446255, -0.12917697691757765, 0.4423891565396583, -0.13845941860345193, -0.1470108473939555, 0.15924655768155518, -0.1005132387658315, -0.14038314154105527, 0.12976684172172098, 0.1471785763611219, 0.06116803065274975, -0.15059499933517406, 0.18305548994643947, -0.07394848268844985, 0.1933522889939403, 0.007739134527011109, 0.11456701878544534, 0.40458107349861944, 0.18597373176183152, 0.054664063255768267, 0.035835765639785674, -0.04709889529372698, -0.0921040470200491, -0.4225338692909905, -0.1513065554334649, -0.12876056903374514, 0.026032218451707324, -0.05543606808860204, -0.09035395356477238, 0.35442639185514835, 0.10473871610593051, 0.228613949161289, 0.012487183359917253, 0.26610148529455596, 0.08716042434098199, 0.07915593570630465, 0.02093798021918961, 0.3352322223995413, 0.12144080705308755, 0.09307244856609032, -0.19992571439194892, -0.030746404598799668, 0.05409221615575786] |
711.0489 | Aharonov-Bohm oscillations in p-type GaAs quantum rings | We have explored phase coherent transport of holes in two p-type GaAs quantum
rings with orbital radii 420 nm and 160 nm fabricated with AFM oxidation
lithography. Highly visible Aharonov-Bohm (AB) oscillations are measured in
both rings, with an amplitude of the oscillations exceeding 10% of the total
resistance in the case of the ring with a radius of 160 nm. Beside the h/e
oscillations, we resolve the contributions from higher harmonics of the AB
oscillations. The observation of a local resistance minimum at B=0 T in both
rings is a signature of the destructive interference of the holes' spins. We
show that this minimum is related to the minimum in the h/2e oscillations.
| cond-mat.mes-hall | we have explored phase coherent transport of holes in two ptype gaas quantum rings with orbital radii 420 nm and 160 nm fabricated with afm oxidation lithography highly visible aharonovbohm ab oscillations are measured in both rings with an amplitude of the oscillations exceeding 10 of the total resistance in the case of the ring with a radius of 160 nm beside the he oscillations we resolve the contributions from higher harmonics of the ab oscillations the observation of a local resistance minimum at b0 t in both rings is a signature of the destructive interference of the holes spins we show that this minimum is related to the minimum in the h2e oscillations | [['we', 'have', 'explored', 'phase', 'coherent', 'transport', 'of', 'holes', 'in', 'two', 'ptype', 'gaas', 'quantum', 'rings', 'with', 'orbital', 'radii', '420', 'nm', 'and', '160', 'nm', 'fabricated', 'with', 'afm', 'oxidation', 'lithography', 'highly', 'visible', 'aharonovbohm', 'ab', 'oscillations', 'are', 'measured', 'in', 'both', 'rings', 'with', 'an', 'amplitude', 'of', 'the', 'oscillations', 'exceeding', '10', 'of', 'the', 'total', 'resistance', 'in', 'the', 'case', 'of', 'the', 'ring', 'with', 'a', 'radius', 'of', '160', 'nm', 'beside', 'the', 'he', 'oscillations', 'we', 'resolve', 'the', 'contributions', 'from', 'higher', 'harmonics', 'of', 'the', 'ab', 'oscillations', 'the', 'observation', 'of', 'a', 'local', 'resistance', 'minimum', 'at', 'b0', 't', 'in', 'both', 'rings', 'is', 'a', 'signature', 'of', 'the', 'destructive', 'interference', 'of', 'the', 'holes', 'spins', 'we', 'show', 'that', 'this', 'minimum', 'is', 'related', 'to', 'the', 'minimum', 'in', 'the', 'h2e', 'oscillations']] | [-0.22279034201219156, 0.21197453195654498, -0.04587802842357441, 0.019428361343064655, 0.05108725677424094, -0.14200764919402437, 0.04472947376984449, 0.35370256979091974, -0.24638206619573266, -0.32917720461754424, 0.03604285775483668, -0.3504811903429136, -0.07551314046181608, 0.18184882284779297, -0.011100023863387801, -0.01261176505501856, 0.0232496625425196, -0.010815681191161275, -0.08279735596417531, -0.18985753875479036, 0.240698232604349, 0.07051881554172978, 0.23370572279223747, 0.050685136411502435, 0.012951194709003494, -0.02078573158411146, 0.044337294374903045, 0.020725689338226067, -0.15606926028455123, 0.04533728819928671, 0.2076766066612643, -0.03168458659957539, 0.18430378751241064, -0.4406692422763036, -0.145227237498355, 0.04621841476641988, 0.12777290268205801, 0.11499661205565198, -0.028917586678034513, -0.22968212542279312, 0.09050025613855962, -0.10201783089187781, -0.09902010170187343, 0.030617421885070047, 0.07557604193208502, -0.007732906885314406, -0.22812411302328928, 0.11642816621736672, 0.03662581207524789, 0.10392935851000641, -0.07094352805921644, -0.11915652630360503, -0.047146714245492036, 0.04091532641343707, -0.020996866335177368, 0.014854598247135678, 0.17019802936875636, -0.07152854631401664, -0.1524948876743254, 0.33317060164061557, -0.10162911043306322, -0.04883271773915591, 0.1329443374926453, -0.272812398771445, 0.015885218397893926, 0.20813408716001727, 0.08854923553340006, 0.15034653438002957, -0.11272846617360126, 0.045377240711802685, -0.0038770324368797766, 0.18429390336141774, 0.1584837271693048, 0.1048118483373209, 0.2768011157801211, 0.16358933039724402, 0.04295338869014175, 0.09943174013741347, -0.20609820485850305, -0.01947010368549902, -0.27414168272853684, -0.13600698761742055, -0.16300858910146512, 0.09624558553026107, -0.0625565079766634, -0.15689846227076232, 0.406112437741014, 0.1212185079542299, 0.21122949335952862, -0.031548357470647284, 0.26855092858743757, 0.07346041441748016, 0.12164633307736694, 0.024169813155343656, 0.30319776523270103, 0.24090179509540463, 0.11514303767481786, -0.3150706297713904, -0.01458968593853346, -0.049002465620440874] |
711.049 | Two new multi-component BKP hierarchies | We firstly propose two kinds of new multi-component BKP (mcBKP) hierarchy
based on the eigenfunction symmetry reduction and nonstandard reduction,
respectively. The first one contains two types of BKP equation with
self-consistent sources which Lax representations are presented. The two mcBKP
hierarchies both admit reductions to the $k-$constrained BKP hierarchy and to
integrable (1+1)-dimensional hierarchy with self-consistent sources, which
include two types of SK equation with self-consistent sources and of
bi-directional SK equations with self-consistent sources.
| nlin.SI | we firstly propose two kinds of new multicomponent bkp mcbkp hierarchy based on the eigenfunction symmetry reduction and nonstandard reduction respectively the first one contains two types of bkp equation with selfconsistent sources which lax representations are presented the two mcbkp hierarchies both admit reductions to the kconstrained bkp hierarchy and to integrable 11dimensional hierarchy with selfconsistent sources which include two types of sk equation with selfconsistent sources and of bidirectional sk equations with selfconsistent sources | [['we', 'firstly', 'propose', 'two', 'kinds', 'of', 'new', 'multicomponent', 'bkp', 'mcbkp', 'hierarchy', 'based', 'on', 'the', 'eigenfunction', 'symmetry', 'reduction', 'and', 'nonstandard', 'reduction', 'respectively', 'the', 'first', 'one', 'contains', 'two', 'types', 'of', 'bkp', 'equation', 'with', 'selfconsistent', 'sources', 'which', 'lax', 'representations', 'are', 'presented', 'the', 'two', 'mcbkp', 'hierarchies', 'both', 'admit', 'reductions', 'to', 'the', 'kconstrained', 'bkp', 'hierarchy', 'and', 'to', 'integrable', '11dimensional', 'hierarchy', 'with', 'selfconsistent', 'sources', 'which', 'include', 'two', 'types', 'of', 'sk', 'equation', 'with', 'selfconsistent', 'sources', 'and', 'of', 'bidirectional', 'sk', 'equations', 'with', 'selfconsistent', 'sources']] | [-0.14357040648826877, 0.0808698684063652, -0.025301662789708055, 0.1304444522546554, -0.1244894571703028, -0.17220047612145944, -0.035194173203529536, 0.27765123536055153, -0.26251519358137976, -0.31904794754007376, 0.08493969382441326, -0.32936621457338333, -0.1162760423848758, 0.1388825760097117, 0.08389212173485272, 0.02086211186896607, 0.04128988735799401, -0.06219049517971438, -0.16362095190010764, -0.233116899893896, 0.39332812974179115, -0.08558886719716562, 0.2518804129511999, -0.04118931993867296, 0.20041614411574965, -0.03104668222619472, -0.0683957071899361, -0.05568745502033208, -0.09417167653304499, 0.08842317201197147, 0.23833960538251778, 0.08228679844555822, 0.09741899426208457, -0.4298294546032274, -0.2118937327476168, 0.11425035302149686, 0.15150300599005376, 0.11799663248333477, -0.009554341260809451, -0.30742404666553075, 0.03766868503864955, -0.197940868426215, -0.12635704575458895, -0.07947581111786987, -0.01407327309150148, 0.07793948196529134, -0.22301467968704733, 0.1728740755808414, 0.0434669526356801, -0.029933166174167716, -0.10292804887442775, -0.16023687061828537, -0.04770626949549124, 0.0070310563943978095, -0.005963991191615728, -0.06695823015714367, -0.05383721414821323, -0.08351496508544802, -0.15274763681195877, 0.37150075317461145, -0.06852602033649345, -0.28832836002363144, 0.18191475999805876, -0.03315666322973934, -0.24002691231844192, 0.11938350952334224, 0.10136701694589008, 0.04447473678737879, -0.232544789531243, 0.05217510124281477, -0.06525924568995833, 0.16398440363558917, 0.0740846670799058, 0.023799243627739063, 0.19437775830108975, 0.16519867793682055, 0.03173349994058545, 0.12252860747881837, -0.0640749802114442, -0.17162845358000817, -0.35820957102082873, -0.08006875106838306, -0.035938199581200814, 0.04821709096683441, -0.09194648413658552, -0.17511578427464072, 0.44058306208132086, 0.10057055882203418, 0.09343373658594901, 0.09192886886916854, 0.18951586443880522, 0.19964698062756578, 0.06303921160665718, 0.05218743235879653, 0.14064678603883934, 0.15292076577709332, 0.07790432853397687, -0.23394733362806006, -0.12014530763986546, 0.2068719775101321] |
711.0491 | Community Detection in Complex Networks Using Genetic Algorithms | Community detection is an important research topic in complex networks. We
present the employment of a genetic algorithm to detect communities in complex
networks which is based on optimizing network modularity. It does not need any
prior knowledge about the number of communities. Its performance is tested on
two real life networks with known community structures and a set of synthetic
networks. As the performance measure an information theoretical metric
variation of information is used. The results are promising and in some cases
better than previously reported studies.
| physics.soc-ph | community detection is an important research topic in complex networks we present the employment of a genetic algorithm to detect communities in complex networks which is based on optimizing network modularity it does not need any prior knowledge about the number of communities its performance is tested on two real life networks with known community structures and a set of synthetic networks as the performance measure an information theoretical metric variation of information is used the results are promising and in some cases better than previously reported studies | [['community', 'detection', 'is', 'an', 'important', 'research', 'topic', 'in', 'complex', 'networks', 'we', 'present', 'the', 'employment', 'of', 'a', 'genetic', 'algorithm', 'to', 'detect', 'communities', 'in', 'complex', 'networks', 'which', 'is', 'based', 'on', 'optimizing', 'network', 'modularity', 'it', 'does', 'not', 'need', 'any', 'prior', 'knowledge', 'about', 'the', 'number', 'of', 'communities', 'its', 'performance', 'is', 'tested', 'on', 'two', 'real', 'life', 'networks', 'with', 'known', 'community', 'structures', 'and', 'a', 'set', 'of', 'synthetic', 'networks', 'as', 'the', 'performance', 'measure', 'an', 'information', 'theoretical', 'metric', 'variation', 'of', 'information', 'is', 'used', 'the', 'results', 'are', 'promising', 'and', 'in', 'some', 'cases', 'better', 'than', 'previously', 'reported', 'studies']] | [-0.11003468019275302, -0.019891493194088318, -0.04709011659195477, 0.09096477900047004, -0.14578745628453113, -0.11800547278405495, 0.01569204999462024, 0.4469439836049622, -0.20755186056802896, -0.34758305439556186, 0.11792249833260113, -0.26961530482565815, -0.26155206037219614, 0.22661749964622271, -0.08323365321319381, 0.07114411684067984, 0.11404645079429346, 0.12109066656028683, 0.001721274287609214, -0.2991883590584621, 0.31575436830859294, 0.1084189256124029, 0.34480326837828296, 0.08330689466410232, 0.03963397618975829, -0.06653538514034484, -0.05376562312647531, 0.02701079590122969, -0.07880529000381516, 0.17086630047891627, 0.2912795837460594, 0.25732991826424206, 0.33433104412291537, -0.40934507244012575, -0.2805418666685, 0.1740637674771609, 0.12274093679893254, 0.09755209361769217, -0.026636061642255463, -0.3147975033445453, 0.07300453127192502, -0.12299775287762961, -0.04914955311687663, -0.10775133972691203, -0.005444280961951749, 0.004981294876250269, -0.2312095632871867, 0.007893303811380809, 0.030283184108239682, 0.08033800257412209, -0.02734406612712932, -0.16690561147830027, 0.024755408651385966, 0.19038636766014283, 0.017607095175084065, 0.03323769049496728, 0.14753148697358978, -0.1429935006996278, -0.18465399314035577, 0.37463196231560275, -0.02855635073848878, -0.20836872097358786, 0.225691133883877, -0.06394017485647717, -0.17907031132860787, 0.110398906505328, 0.21201871262482283, 0.10749834865881977, -0.17595001793762838, -0.0017293809439500117, -0.057228472231971944, 0.20019899503412572, 0.013320682057052512, 0.01361711347073486, 0.16400610300479457, 0.26776660191403195, 0.08716313556148882, 0.08515538628456522, -0.08304493608143688, -0.09449679577135778, -0.1611219311056299, -0.13507196022493934, -0.23764463535785166, -0.008097128527052437, -0.10366711038428052, -0.16219558016481725, 0.426407654134726, 0.16502532539677553, 0.16331686500978487, 0.055730089715904214, 0.32160512036220595, 9.061205905295951e-05, 0.1075587633782892, 0.08671433698724616, 0.2020806633693362, 0.10767654459711841, 0.1218537200845524, -0.12240961052223363, 0.15635998720641842, -0.04742631945886056] |
711.0492 | Strong spin-orbit interactions and weak antilocalization in carbon doped
p-type GaAs heterostructures | We present a comprehensive study of the low-field magnetoresistance in carbon
doped p-type GaAs/AlGaAs heterostructures aiming at the investigation of
spin-orbit interaction effects. The following signatures of exceptionally
strong spin-orbit interactions are simultaneously observed: a beating in the
Shubnikov-de Haas oscillations, a classical positive magnetoresistance due to
the presence of the two spin-split subbands, and a weak anti-localization dip
in the magnetoresistance. The spin-orbit induced splitting of the heavy hole
subband at the Fermi level is determined to be around 30% of the total Fermi
energy. The phase coherence length of holes of around 2.5 $\mu$m at a
temperature of 70 mK, extracted from weak anti-localization measurements, is
promissing for the fabrication of phase-coherent p-type nanodevices.
| cond-mat.mes-hall cond-mat.mtrl-sci | we present a comprehensive study of the lowfield magnetoresistance in carbon doped ptype gaasalgaas heterostructures aiming at the investigation of spinorbit interaction effects the following signatures of exceptionally strong spinorbit interactions are simultaneously observed a beating in the shubnikovde haas oscillations a classical positive magnetoresistance due to the presence of the two spinsplit subbands and a weak antilocalization dip in the magnetoresistance the spinorbit induced splitting of the heavy hole subband at the fermi level is determined to be around 30 of the total fermi energy the phase coherence length of holes of around 25 mum at a temperature of 70 mk extracted from weak antilocalization measurements is promissing for the fabrication of phasecoherent ptype nanodevices | [['we', 'present', 'a', 'comprehensive', 'study', 'of', 'the', 'lowfield', 'magnetoresistance', 'in', 'carbon', 'doped', 'ptype', 'gaasalgaas', 'heterostructures', 'aiming', 'at', 'the', 'investigation', 'of', 'spinorbit', 'interaction', 'effects', 'the', 'following', 'signatures', 'of', 'exceptionally', 'strong', 'spinorbit', 'interactions', 'are', 'simultaneously', 'observed', 'a', 'beating', 'in', 'the', 'shubnikovde', 'haas', 'oscillations', 'a', 'classical', 'positive', 'magnetoresistance', 'due', 'to', 'the', 'presence', 'of', 'the', 'two', 'spinsplit', 'subbands', 'and', 'a', 'weak', 'antilocalization', 'dip', 'in', 'the', 'magnetoresistance', 'the', 'spinorbit', 'induced', 'splitting', 'of', 'the', 'heavy', 'hole', 'subband', 'at', 'the', 'fermi', 'level', 'is', 'determined', 'to', 'be', 'around', '30', 'of', 'the', 'total', 'fermi', 'energy', 'the', 'phase', 'coherence', 'length', 'of', 'holes', 'of', 'around', '25', 'mum', 'at', 'a', 'temperature', 'of', '70', 'mk', 'extracted', 'from', 'weak', 'antilocalization', 'measurements', 'is', 'promissing', 'for', 'the', 'fabrication', 'of', 'phasecoherent', 'ptype', 'nanodevices']] | [-0.26224848668388057, 0.20364338033511464, -0.0035147961707793756, 0.05952963848991705, 0.009585617481457904, -0.18476429359650176, 0.10072400039744339, 0.31614823254017993, -0.22922726697288454, -0.3392373351259799, -0.060047694564202864, -0.37900173566143575, -0.09375519133654647, 0.23050167226906995, 0.04623037980516152, -0.007751184667195675, 0.014809100435051167, -0.09638378713360249, -0.11177134051806582, -0.1953783590910587, 0.2894244638014713, 0.07113782488259263, 0.29782118797221957, 0.12487246406039801, 0.0501252914987633, -0.022207902979250228, 0.13500907140832138, 0.0434660985584146, -0.11723252888761385, 0.007925172087511626, 0.27417359144701864, -0.21181396138051461, 0.21663506889458875, -0.39411713357950595, -0.15679920588997354, -0.03207631095248307, 0.10919852247388917, 0.17362000126038388, -0.07937325435240977, -0.33289507188802137, 0.06530404047526676, -0.09793722350953211, -0.08193304029229129, -0.023387651746000708, -0.006948265952062151, -0.06406283450256713, -0.21498478289918396, 0.1456223441336047, 0.062483977086858114, 0.11045644638642411, -0.07620214130568864, -0.1163157298358093, -0.04651318832123973, 0.05175428622771568, 0.05737743898824756, 0.007716595598924022, 0.18130346648957066, -0.08730561258512196, -0.11759770712172933, 0.3239560546634462, -0.13629193901855113, -0.011180070116222789, 0.15256025435017614, -0.29393224410134655, -0.04912727485924702, 0.21225079066312774, 0.14938015466483695, 0.09021173633538701, -0.14618641629831158, 0.0828747123972601, 0.0031089895878565208, 0.14265667875136795, 0.08934863309520458, 0.1410590856705375, 0.3431916069038662, 0.19998402706877297, 0.028482251391135926, 0.08953349236178147, -0.23242831297604175, 0.04677719831996565, -0.2069858471664263, -0.14528854166013028, -0.22513732551757631, 0.14980341110314274, -0.050650253201356146, -0.2068289821196733, 0.44751182638092674, 0.12404677897424775, 0.21131506538548475, -0.040430396686886146, 0.2670908849141001, 0.1048588811405854, 0.09036081218851152, -0.006711469734376618, 0.3050765321501691, 0.20860600877093585, 0.16330880294393363, -0.35616487438051864, 0.06240875868062521, -0.03706257658406434] |
711.0493 | Markov processes with product-form stationary distribution | We study a class of Markov processes with finite state space and continuous
time that have product form stationary distributions. We obtain a number of
examples that can generate conjectures for diffusions with inert drift.
| math.PR | we study a class of markov processes with finite state space and continuous time that have product form stationary distributions we obtain a number of examples that can generate conjectures for diffusions with inert drift | [['we', 'study', 'a', 'class', 'of', 'markov', 'processes', 'with', 'finite', 'state', 'space', 'and', 'continuous', 'time', 'that', 'have', 'product', 'form', 'stationary', 'distributions', 'we', 'obtain', 'a', 'number', 'of', 'examples', 'that', 'can', 'generate', 'conjectures', 'for', 'diffusions', 'with', 'inert', 'drift']] | [-0.07481380732996123, 0.20913733813379493, -0.08544225723349623, 0.037103446573019026, -0.06442125381103583, -0.12381789766784225, 0.01304559150843748, 0.4259990275970527, -0.262088828427451, -0.24175365396908352, 0.1301431560024087, -0.2406939445595656, -0.09162543107356344, 0.18186364267021418, -0.01185662927372115, 0.04860669411718845, 0.0781592241288828, 0.011789325837578092, -0.06289075146030103, -0.24191887586244515, 0.3677997474292559, -0.06810516001922744, 0.21281914375722408, -0.04312854357329862, 0.1531449280679226, -0.02780105753668717, 0.014871829857916704, 0.022158060235337222, -0.1463943471753737, 0.08572469598480634, 0.23956697885213155, 0.11572096220084599, 0.29149985668648565, -0.4068595835140773, -0.24729835090360472, 0.21933115547788995, 0.08646164950956257, 0.10685233239616666, -0.10515429028975112, -0.2896169702921595, 0.06593465642737491, -0.20157559577907835, -0.14513146100299698, -0.15922761367900032, 0.030032315264855114, 0.08450958396674, -0.3339320949145726, 0.038162740818890074, 0.0752274743480874, 0.00570428946188518, -0.08316538051835128, -0.08957578239164182, -0.003290444373020104, 0.0970938982042883, 0.06071227448327201, -0.04603352039121091, 0.08977529100541558, -0.07872292562221576, -0.19118191661047085, 0.28399030449134965, -0.15108448936204824, -0.29004386759230066, 0.22642585134931972, -0.19218998825443642, -0.17683661979224, 0.1635272102696555, 0.2387296407350472, 0.15235227208052363, -0.11133024269448859, 0.12106029795582539, -0.13271108429346765, 0.08748988706086364, 0.040396093257835934, 0.03317614674035992, 0.12786024283351644, 0.1171124509801822, 0.10894235974576856, 0.1921001401862928, -0.04316225832860385, -0.16337540639298304, -0.36494135963065283, -0.24521558074546712, -0.14919404339577472, 0.10724043063819408, -0.0635426849122658, -0.23818007079618317, 0.36862024645587166, 0.11185100149762417, 0.22435301999960627, 0.15827571981187377, 0.16209761878209455, 0.1646551311016083, -0.0430198575769152, 0.07890069337694773, 0.0649407405938421, 0.15490649166916098, 0.02770997751504183, -0.10610463084386927, 0.11326057647487947, 0.08759884302105223] |
711.0494 | Is Z^+(4430) a loosely bound molecular state? | Since $Z^+(4430)$ lies very close to the threshold of $D^\ast{\bar D}_1$, we
investigate whether $Z^+(4430)$ could be a loosely bound S-wave state of
$D^\ast{\bar D}_1$ or $D^\ast{\bar D}^\prime_1$ with $J^P=0^-, 1^-, 2^-$, i.e.,
a molecular state arising from the one-pion-exchange potential. The potential
from the crossed diagram is much larger than that from the diagonal scattering
diagram. With various trial wave functions, we notice that the attraction from
the one pion exchange potential alone is not strong enough to form a bound
state with realistic pionic coupling constants deduced from the decay widths of
$D_1$ and $D^\prime_1$.
| hep-ph hep-ex nucl-ex nucl-th | since z4430 lies very close to the threshold of dastbar d_1 we investigate whether z4430 could be a loosely bound swave state of dastbar d_1 or dastbar dprime_1 with jp0 1 2 ie a molecular state arising from the onepionexchange potential the potential from the crossed diagram is much larger than that from the diagonal scattering diagram with various trial wave functions we notice that the attraction from the one pion exchange potential alone is not strong enough to form a bound state with realistic pionic coupling constants deduced from the decay widths of d_1 and dprime_1 | [['since', 'z4430', 'lies', 'very', 'close', 'to', 'the', 'threshold', 'of', 'dastbar', 'd_1', 'we', 'investigate', 'whether', 'z4430', 'could', 'be', 'a', 'loosely', 'bound', 'swave', 'state', 'of', 'dastbar', 'd_1', 'or', 'dastbar', 'dprime_1', 'with', 'jp0', '1', '2', 'ie', 'a', 'molecular', 'state', 'arising', 'from', 'the', 'onepionexchange', 'potential', 'the', 'potential', 'from', 'the', 'crossed', 'diagram', 'is', 'much', 'larger', 'than', 'that', 'from', 'the', 'diagonal', 'scattering', 'diagram', 'with', 'various', 'trial', 'wave', 'functions', 'we', 'notice', 'that', 'the', 'attraction', 'from', 'the', 'one', 'pion', 'exchange', 'potential', 'alone', 'is', 'not', 'strong', 'enough', 'to', 'form', 'a', 'bound', 'state', 'with', 'realistic', 'pionic', 'coupling', 'constants', 'deduced', 'from', 'the', 'decay', 'widths', 'of', 'd_1', 'and', 'dprime_1']] | [-0.12132614186327709, 0.21106889155252198, -0.08068712125777414, 0.1263433894657187, -0.045224053863632055, -0.17442245361346162, 0.1101789390668273, 0.3247214484077535, -0.24851537135086563, -0.22022908211342598, 0.007135539190647634, -0.319473061063572, -0.0712773126108866, 0.12360495375714411, 0.11199738751043026, 0.022749308879046064, 0.057467949974938835, 0.10145010008525691, -0.05315686128053226, -0.14212141944046475, 0.3895387701481875, -0.05719016491876621, 0.2103605797906455, 0.1538469227766128, -0.03323981600176347, -0.01985011505894363, 0.10732160697102938, -0.08243985243729855, -0.1599819945963406, 0.07976808507779712, 0.1781185189580643, 0.10744783516581122, 0.17637619026974885, -0.3472352150239443, -0.13675803788447458, 0.15231135469910345, 0.18706463755010383, 0.1420842065720966, 0.0028508374516509082, -0.34700719793939866, 0.0757246027700603, -0.18479250136174655, -0.14441930742836312, -0.030883939963716425, 0.02627329167980382, 0.00438166640110706, -0.2931318536057676, 0.0861355112154821, -0.01158204587715629, 0.027661728723232, -0.06811199973239318, -0.23854734477047856, -0.025418222667404303, 0.07920067619875465, 0.03234049631772857, 0.11958123196749702, 0.1131867164647893, -0.17861161656481656, -0.06388683101456416, 0.4001232864335179, -0.09704703374254199, -0.1675209433673636, 0.1617327827568117, -0.18605818235266366, -0.05255062333063076, 0.17694078874529193, 0.09565733619230359, 0.05728374996075505, -0.10942115455767826, 0.06068082968888216, -0.03545250139723066, 0.2316234086885264, 0.09152657442579144, 0.06561090179587298, 0.16386188199057392, 0.12070981790556719, 0.02078401687505998, 0.1272915953071788, -0.08935383277896204, -0.11243979734319605, -0.30341280616427724, -0.07811944467677294, -0.176708819325033, 0.14454707806182437, -0.03189071079112565, -0.11404531071648787, 0.29413120395896075, 0.0588620417408253, 0.2619362803176045, -0.011761131696403027, 0.2719469668049561, 0.1037977224411933, 0.07663434464974624, 0.0499118633323202, 0.288967069454099, 0.19692595460893292, 0.022591138106623762, -0.25475874343200733, 0.06298493383648364, 0.013093224069789836] |
711.0495 | Linear \infty-Harmonic maps between Rienmannian manifolds | In this paper, we give complete classifications of linear $\infty$-harmonic
maps between Euclidean and Heisenberg spaces, between Nil and Sol spaces. We
also classify all $\infty$-harmonic linear endomorphisms of Sol space and show
that there is a subgroup of $\infty$-harmonic linear automorphisms in the group
of linear automorphisms of Sol space.
| math.DG math.AP | in this paper we give complete classifications of linear inftyharmonic maps between euclidean and heisenberg spaces between nil and sol spaces we also classify all inftyharmonic linear endomorphisms of sol space and show that there is a subgroup of inftyharmonic linear automorphisms in the group of linear automorphisms of sol space | [['in', 'this', 'paper', 'we', 'give', 'complete', 'classifications', 'of', 'linear', 'inftyharmonic', 'maps', 'between', 'euclidean', 'and', 'heisenberg', 'spaces', 'between', 'nil', 'and', 'sol', 'spaces', 'we', 'also', 'classify', 'all', 'inftyharmonic', 'linear', 'endomorphisms', 'of', 'sol', 'space', 'and', 'show', 'that', 'there', 'is', 'a', 'subgroup', 'of', 'inftyharmonic', 'linear', 'automorphisms', 'in', 'the', 'group', 'of', 'linear', 'automorphisms', 'of', 'sol', 'space']] | [-0.14880424386173413, 0.08557101306231583, -0.05463746763473632, 0.033975948652654304, -0.06556906115592402, -0.09475189037438408, -0.02043555579924335, 0.41224923087101356, -0.35715657487219454, -0.16067697224663754, 0.12097453044763967, -0.2814110073754016, -0.1876981570704968, 0.21206733166221894, -0.1521543252154016, -0.009610967893226473, 0.005867226177132597, 0.0480068752213436, -0.16978836035374187, -0.3239495716372724, 0.4424895076994218, -0.04067693197844075, 0.18579263371579788, -0.0031783020685372107, 0.1400927148357618, 0.022274931262740317, -0.056106175661233125, 0.030721683236633372, -0.2229639339295282, 0.12155094859646816, 0.3333280234798497, 0.05749499133112384, 0.13855572797211946, -0.3169423812160305, -0.16880329686454407, 0.2359974821025104, 0.13439172277154, -0.014965726245267718, -0.03267915223670356, -0.27217851349097844, 0.05660518698905613, -0.16814792525096267, -0.06244242572974341, -0.12519950755670958, 0.10346765405334094, -0.0313729855651949, -0.18150137361212104, 0.02853594032314825, 0.1934374620517095, 0.20337442206401452, -0.11341909118288872, -0.011399902896407773, -0.14010717993711724, 0.11527308442757703, -0.060908884198094405, 0.05129426668452866, 0.0798654746556399, 0.014169882759269253, -0.12546823622987552, 0.3805289538759811, -0.07405512973520101, -0.26605827094731377, 0.18054447611611263, -0.2274860892189192, -0.18025979885429727, 0.08172216001605871, 0.2032409083171218, 0.09202162070455504, -0.007844478421497578, 0.257037840615821, -0.15146156860625043, 0.10980555578591485, 0.06583293129269983, -0.04308312538755583, 0.04518645245801, 0.08381671838316263, 0.1631804282831795, 0.18116543661145604, 0.058938063388946006, 0.02696906848509303, -0.3675344039996465, -0.23363690742967175, -0.0707656683185704, 0.06257407785411559, -0.12114780011282111, -0.19888298777753816, 0.3812259751755525, 0.0032321616879426966, 0.1944645306497228, 0.11610243337995865, 0.1520034346419076, -0.03232491074823866, 0.012233121211037916, 0.16367263915747696, 0.17142293532835504, 0.23467343306059346, -0.06865282122995339, -0.14997733109539338, -0.11110633327716998, 0.2023509224036745] |
711.0496 | Angular Momentum Mixing in a Non-spherical Color Superconductor | We study the angular momentum mixing effects in the color superconductor with
non-spherical pairing. We first clarify the concept of the angular momentum
mixing with a toy model for non-relativistic and spinless fermions. Then we
derive the gap equation for the polar phase of dense QCD by minimizing the CJT
free energy. The solution of the gap equation consists of all angular momentum
partial waves of odd parity. The corresponding free energy is found to be lower
than that reported in the literature with p-wave only.
| hep-ph | we study the angular momentum mixing effects in the color superconductor with nonspherical pairing we first clarify the concept of the angular momentum mixing with a toy model for nonrelativistic and spinless fermions then we derive the gap equation for the polar phase of dense qcd by minimizing the cjt free energy the solution of the gap equation consists of all angular momentum partial waves of odd parity the corresponding free energy is found to be lower than that reported in the literature with pwave only | [['we', 'study', 'the', 'angular', 'momentum', 'mixing', 'effects', 'in', 'the', 'color', 'superconductor', 'with', 'nonspherical', 'pairing', 'we', 'first', 'clarify', 'the', 'concept', 'of', 'the', 'angular', 'momentum', 'mixing', 'with', 'a', 'toy', 'model', 'for', 'nonrelativistic', 'and', 'spinless', 'fermions', 'then', 'we', 'derive', 'the', 'gap', 'equation', 'for', 'the', 'polar', 'phase', 'of', 'dense', 'qcd', 'by', 'minimizing', 'the', 'cjt', 'free', 'energy', 'the', 'solution', 'of', 'the', 'gap', 'equation', 'consists', 'of', 'all', 'angular', 'momentum', 'partial', 'waves', 'of', 'odd', 'parity', 'the', 'corresponding', 'free', 'energy', 'is', 'found', 'to', 'be', 'lower', 'than', 'that', 'reported', 'in', 'the', 'literature', 'with', 'pwave', 'only']] | [-0.17085713659261548, 0.2214881964745325, -0.07396758365347375, 0.09113070805865708, -0.07170643409454198, -0.08682609073882706, 0.01891636677075524, 0.3303827975205211, -0.22150598968606616, -0.2979461685537772, -0.0259921093021931, -0.2913470608290545, -0.04771253286297758, 0.10281540470760922, 0.04901948231164106, 0.06485677796935793, 0.02281490345702095, 0.02880189492540477, -0.14625140803941894, -0.17849730337607175, 0.3846598856129445, 0.02840075901774473, 0.2415316135427633, 0.08373284918732594, 0.08382366694033493, 0.025374150791660298, 0.006287274449024089, -0.01991778312164337, -0.18021246156058623, 0.0614870086442246, 0.19414446783403672, -0.02715931361714421, 0.1660228649013524, -0.4079663792711704, -0.2161314876338597, 0.10005556248388318, 0.12619002073526728, 0.1474901852522825, -0.049363225211151114, -0.25868045021563246, 0.03953925874300821, -0.20857930937132171, -0.17261460973058157, -0.0652927301166211, 0.014783316594413157, -0.008410971257077572, -0.2313449049021962, 0.14387315792724664, 0.05557797973851002, 0.0038321026692946635, -0.10737254751066483, -0.16368711700792923, -0.08824372048987898, 0.035995771745653, 0.08032408928049209, 0.03935416679840188, 0.03068877467993907, -0.15249640609375958, -0.07335874982459774, 0.3904553030422607, -0.06428851484849664, -0.22665249114466268, 0.10510635889286912, -0.17496652295271498, -0.055974030758925646, 0.14572420148828694, 0.12723861827493407, 0.11562497092974047, -0.14624408884298837, 0.09949802602898482, -0.07771852968780454, 0.14699809509870965, 0.0667899109336526, 0.08286402347432666, 0.20978414796855907, 0.15539084795082725, 0.04979645342804318, 0.14604445786599807, -0.11778896878375997, -0.1260431252669023, -0.3208297423498575, -0.1823848959405062, -0.2083895824494945, 0.03430989712779952, -0.06477452786845767, -0.12051574349793237, 0.39478008662415454, 0.1283979810893449, 0.20175836282933868, 0.012644609598832767, 0.3057030267190448, 0.16674391520317905, 0.05737964337864934, 0.10634874879838736, 0.26596038808591316, 0.15681364028822892, 0.09272126611227408, -0.32397980653940767, -0.044179116207889696, 0.1090838854785922] |
711.0497 | Partners of Z(4430) and Productions in B Decays | Recently, Belle Collaboration has reported a resonant state produced in $B\to
K \pi\psi'$, which is called Z(4430). This state is charged, so it can not be
interpreted as an ordinary charmonium state. In this paper, we analyze the
octet to which this particle belongs and predict the masses of mesons in this
octet. Utilizing flavor SU(3) symmetry, we study production rates in several
kinds of B decays. The $\bar B^0\to Z_s^-\pi^+\to K^-\psi'\pi^+$ and $B^-\to
\bar Z_s^0 \pi^-\to K_S\psi'\pi^-$ decay channels, favored by
Cabibbo-Kobayashi-Maskawa (CKM) matrix elements, can have branching ratios of
${\cal O}(10^{-5})$. This large branching ratio could be observed at the
running $B$ factories to detect $Z_s$ particles containing a strange quark. We
also predict large branching ratios of the $Z$ and $Z_c$ ($\bar cc\bar c D,
D=u,d,s$) particle production rates in non-leptonic $B_c$ decays and radiative
B decays. Measurements of these decays at the ongoing $B$ factories and the
forthcoming Large Hadron Collider (LHC)-b experiments are helpful to clarify
the mysterious $Z$ particles.
| hep-ph hep-ex | recently belle collaboration has reported a resonant state produced in bto k pipsi which is called z4430 this state is charged so it can not be interpreted as an ordinary charmonium state in this paper we analyze the octet to which this particle belongs and predict the masses of mesons in this octet utilizing flavor su3 symmetry we study production rates in several kinds of b decays the bar b0to z_spito kpsipi and bto bar z_s0 pito k_spsipi decay channels favored by cabibbokobayashimaskawa ckm matrix elements can have branching ratios of cal o105 this large branching ratio could be observed at the running b factories to detect z_s particles containing a strange quark we also predict large branching ratios of the z and z_c bar ccbar c d duds particle production rates in nonleptonic b_c decays and radiative b decays measurements of these decays at the ongoing b factories and the forthcoming large hadron collider lhcb experiments are helpful to clarify the mysterious z particles | [['recently', 'belle', 'collaboration', 'has', 'reported', 'a', 'resonant', 'state', 'produced', 'in', 'bto', 'k', 'pipsi', 'which', 'is', 'called', 'z4430', 'this', 'state', 'is', 'charged', 'so', 'it', 'can', 'not', 'be', 'interpreted', 'as', 'an', 'ordinary', 'charmonium', 'state', 'in', 'this', 'paper', 'we', 'analyze', 'the', 'octet', 'to', 'which', 'this', 'particle', 'belongs', 'and', 'predict', 'the', 'masses', 'of', 'mesons', 'in', 'this', 'octet', 'utilizing', 'flavor', 'su3', 'symmetry', 'we', 'study', 'production', 'rates', 'in', 'several', 'kinds', 'of', 'b', 'decays', 'the', 'bar', 'b0to', 'z_spito', 'kpsipi', 'and', 'bto', 'bar', 'z_s0', 'pito', 'k_spsipi', 'decay', 'channels', 'favored', 'by', 'cabibbokobayashimaskawa', 'ckm', 'matrix', 'elements', 'can', 'have', 'branching', 'ratios', 'of', 'cal', 'o105', 'this', 'large', 'branching', 'ratio', 'could', 'be', 'observed', 'at', 'the', 'running', 'b', 'factories', 'to', 'detect', 'z_s', 'particles', 'containing', 'a', 'strange', 'quark', 'we', 'also', 'predict', 'large', 'branching', 'ratios', 'of', 'the', 'z', 'and', 'z_c', 'bar', 'ccbar', 'c', 'd', 'duds', 'particle', 'production', 'rates', 'in', 'nonleptonic', 'b_c', 'decays', 'and', 'radiative', 'b', 'decays', 'measurements', 'of', 'these', 'decays', 'at', 'the', 'ongoing', 'b', 'factories', 'and', 'the', 'forthcoming', 'large', 'hadron', 'collider', 'lhcb', 'experiments', 'are', 'helpful', 'to', 'clarify', 'the', 'mysterious', 'z', 'particles']] | [-0.08918501240177133, 0.3230599393496479, -0.04066934796202483, 0.11380938356874054, -0.04903890371890797, -0.1640008636281691, 0.08538631592370546, 0.2809381022838489, -0.20534538487836415, -0.19206785485031283, -0.04158001264437166, -0.35749140582135264, 0.032211741429618884, 0.05296622135137565, 0.10511472626770817, 0.11899501837954019, 0.10346599399264457, -0.015150643226181, -0.03709276693832106, -0.21310332293018885, 0.21846633803380547, -0.010070616256375358, 0.167400055236927, 0.12847339583900552, -0.08122894839740961, -0.06016886911688829, -0.03933149877475844, -0.06771273480921562, -0.1637412410803467, 0.003939711642539445, 0.22935528125512888, 0.15747160817139177, 0.0665194991355141, -0.30858915254661123, -0.012825168380748082, 0.22382241518547139, 0.21442986114548063, 0.09311839414368027, -0.05582067713510456, -0.3851722343121919, 0.1661633104378791, -0.21645871184783866, -0.08218340992007943, -0.10070380320298081, 0.08683490279019347, -0.1039017144921558, -0.38242101022950226, 0.07540707472611494, -0.10327041603342202, 0.0270148918952254, 0.05223771693102969, -0.2926771174428059, -0.009539669575813994, -0.003271892783964205, 0.12670990968205081, 0.11370145492753564, 0.20883315670781377, -0.15082497982844217, -0.19138834534400384, 0.4117833415211805, -0.08283441469846468, -0.14888883349280688, 0.1686797788100897, -0.2564916795558214, -0.19429238428473003, 0.13143462102139755, 0.2795300109183076, 0.05845466414876516, -0.18798884536789837, 0.1427255520672514, -0.058134904740460264, 0.1393037279042761, 0.07826888578967338, 0.08773965041194134, 0.21446478605082217, 0.20467606192724136, -0.07877175458238325, 0.0400767653269705, -0.07730704415355276, -0.012872660658527282, -0.3756954612550121, -0.16595776338399676, -0.05542056754732259, 0.1137099201460962, -0.013342601501470016, -0.04942354172579475, 0.33557219744759537, 0.02954027204007004, 0.32935782879848713, -0.028239542644752084, 0.26914271724017913, 0.07859928048393908, 0.08444342636536227, 0.07030969021471038, 0.3476729147991388, 0.21460088388701468, 0.15368647648478453, -0.30823416068985965, 0.07537477415453338, 0.030010554520706147] |
711.0498 | Three Dimensional MHD Wave Propagation and Conversion to Alfven Waves
near the Solar Surface. I. Direct Numerical Solution | The efficacy of fast/slow MHD mode conversion in the surface layers of
sunspots has been demonstrated over recent years using a number of modelling
techniques, including ray theory, perturbation theory, differential eigensystem
analysis, and direct numerical simulation. These show that significant energy
may be transferred between the fast and slow modes in the neighbourhood of the
equipartition layer where the Alfven and sound speeds coincide. However, most
of the models so far have been two dimensional. In three dimensions the Alfven
wave may couple to the magneto-acoustic waves with important implications for
energy loss from helioseismic modes and for oscillations in the atmosphere
above the spot. In this paper, we carry out a numerical ``scattering
experiment'', placing an acoustic driver 4 Mm below the solar surface and
monitoring the acoustic and Alfvenic wave energy flux high in an isothermal
atmosphere placed above it. These calculations indeed show that energy
conversion to upward travelling Alfven waves can be substantial, in many cases
exceeding loss to slow (acoustic) waves. Typically, at penumbral magnetic field
strengths, the strongest Alfven fluxes are produced when the field is inclined
30-40 degrees from the vertical, with the vertical plane of wave propagation
offset from the vertical plane containing field lines by some 60-80 degrees.
| astro-ph | the efficacy of fastslow mhd mode conversion in the surface layers of sunspots has been demonstrated over recent years using a number of modelling techniques including ray theory perturbation theory differential eigensystem analysis and direct numerical simulation these show that significant energy may be transferred between the fast and slow modes in the neighbourhood of the equipartition layer where the alfven and sound speeds coincide however most of the models so far have been two dimensional in three dimensions the alfven wave may couple to the magnetoacoustic waves with important implications for energy loss from helioseismic modes and for oscillations in the atmosphere above the spot in this paper we carry out a numerical scattering experiment placing an acoustic driver 4 mm below the solar surface and monitoring the acoustic and alfvenic wave energy flux high in an isothermal atmosphere placed above it these calculations indeed show that energy conversion to upward travelling alfven waves can be substantial in many cases exceeding loss to slow acoustic waves typically at penumbral magnetic field strengths the strongest alfven fluxes are produced when the field is inclined 3040 degrees from the vertical with the vertical plane of wave propagation offset from the vertical plane containing field lines by some 6080 degrees | [['the', 'efficacy', 'of', 'fastslow', 'mhd', 'mode', 'conversion', 'in', 'the', 'surface', 'layers', 'of', 'sunspots', 'has', 'been', 'demonstrated', 'over', 'recent', 'years', 'using', 'a', 'number', 'of', 'modelling', 'techniques', 'including', 'ray', 'theory', 'perturbation', 'theory', 'differential', 'eigensystem', 'analysis', 'and', 'direct', 'numerical', 'simulation', 'these', 'show', 'that', 'significant', 'energy', 'may', 'be', 'transferred', 'between', 'the', 'fast', 'and', 'slow', 'modes', 'in', 'the', 'neighbourhood', 'of', 'the', 'equipartition', 'layer', 'where', 'the', 'alfven', 'and', 'sound', 'speeds', 'coincide', 'however', 'most', 'of', 'the', 'models', 'so', 'far', 'have', 'been', 'two', 'dimensional', 'in', 'three', 'dimensions', 'the', 'alfven', 'wave', 'may', 'couple', 'to', 'the', 'magnetoacoustic', 'waves', 'with', 'important', 'implications', 'for', 'energy', 'loss', 'from', 'helioseismic', 'modes', 'and', 'for', 'oscillations', 'in', 'the', 'atmosphere', 'above', 'the', 'spot', 'in', 'this', 'paper', 'we', 'carry', 'out', 'a', 'numerical', 'scattering', 'experiment', 'placing', 'an', 'acoustic', 'driver', '4', 'mm', 'below', 'the', 'solar', 'surface', 'and', 'monitoring', 'the', 'acoustic', 'and', 'alfvenic', 'wave', 'energy', 'flux', 'high', 'in', 'an', 'isothermal', 'atmosphere', 'placed', 'above', 'it', 'these', 'calculations', 'indeed', 'show', 'that', 'energy', 'conversion', 'to', 'upward', 'travelling', 'alfven', 'waves', 'can', 'be', 'substantial', 'in', 'many', 'cases', 'exceeding', 'loss', 'to', 'slow', 'acoustic', 'waves', 'typically', 'at', 'penumbral', 'magnetic', 'field', 'strengths', 'the', 'strongest', 'alfven', 'fluxes', 'are', 'produced', 'when', 'the', 'field', 'is', 'inclined', '3040', 'degrees', 'from', 'the', 'vertical', 'with', 'the', 'vertical', 'plane', 'of', 'wave', 'propagation', 'offset', 'from', 'the', 'vertical', 'plane', 'containing', 'field', 'lines', 'by', 'some', '6080', 'degrees']] | [-0.16150395897085007, 0.21534953539636403, 0.005645551850858073, 0.06112704914770662, -0.0755090121943235, -0.034877889326218374, -0.005853203090037613, 0.37562014577605835, -0.25505349331573457, -0.327913910517684, 0.07808551220198122, -0.2846194040343667, -0.09726188781832416, 0.2602588990389799, 0.04228051632974082, 0.04799014786112821, 0.08080495725376889, -0.008034105943247246, -0.012664322049554007, -0.13347447548585478, 0.2551721629447107, 0.10046788134674828, 0.26779581810506686, 0.030729811519939594, 0.07265785797902097, -0.07902639574268296, 0.008703528813874492, 0.02431162526107318, -0.10483259218507066, 0.050066763698571146, 0.2392892111223808, 0.07602519745705649, 0.24194240448895682, -0.518869733876692, -0.3069188679353549, 0.02738156768744095, 0.2050662104109226, 0.10254238671264969, -0.03845228454422166, -0.23124956438998476, 0.050143785785901576, -0.10738137646806606, -0.1327515954460698, 0.00874608141412654, 0.02084042483553416, 0.046219070004903745, -0.22578578995587753, 0.0968473267119127, 0.04157831639083899, 0.11429673681326537, -0.06896426846987407, -0.09261160160867103, -0.10100561490757033, 0.05429161578152931, 0.12782891897390633, 0.04750298700393894, 0.13966455521026197, -0.11880296275239743, -0.058883140950526394, 0.3414747766588474, -0.0864870510900241, -0.15775739886045742, 0.20954336465757267, -0.18678224737609875, -0.056545935806263097, 0.22297112313726059, 0.20582689478760585, 0.07819677406615273, -0.08477704202267397, 0.016480743520682715, -0.02559949004500175, 0.16509619592062125, 0.15061980240324585, -0.002934296106104739, 0.27775767752273867, 0.13109326375706587, 0.04107580962394982, 0.06725067063934358, -0.186622940081109, -0.0423914766361122, -0.2876427106141014, -0.12240826687215864, -0.11106897007644315, 0.03584437534531249, -0.07529201371037814, -0.15450691052291615, 0.4139226301250836, 0.1717116372867447, 0.14549340890684667, -0.014457948198049473, 0.332489312364487, 0.1549202419096568, 0.05588447397167329, 0.15606294526682737, 0.363352235669831, 0.19950439341706583, 0.11984730902510748, -0.21846798662143277, -0.0165361497856793, 0.0268239525903482] |
711.0499 | On relations among Dirichlet series whose coefficients are class numbers
of binary cubic forms | We study the class numbers of integral binary cubic forms. For each $SL_2(Z)$
invariant lattice $L$, Shintani introduced Dirichlet series whose coefficients
are the class numbers of binary cubic forms in $L$. We classify the invariant
lattices, and investigate explicit relationships between Dirichlet series
associated with those lattices. We also study the analytic properties of the
Dirichlet series, and rewrite the functional equation in a self dual form using
the explicit relationship.
| math.NT | we study the class numbers of integral binary cubic forms for each sl_2z invariant lattice l shintani introduced dirichlet series whose coefficients are the class numbers of binary cubic forms in l we classify the invariant lattices and investigate explicit relationships between dirichlet series associated with those lattices we also study the analytic properties of the dirichlet series and rewrite the functional equation in a self dual form using the explicit relationship | [['we', 'study', 'the', 'class', 'numbers', 'of', 'integral', 'binary', 'cubic', 'forms', 'for', 'each', 'sl_2z', 'invariant', 'lattice', 'l', 'shintani', 'introduced', 'dirichlet', 'series', 'whose', 'coefficients', 'are', 'the', 'class', 'numbers', 'of', 'binary', 'cubic', 'forms', 'in', 'l', 'we', 'classify', 'the', 'invariant', 'lattices', 'and', 'investigate', 'explicit', 'relationships', 'between', 'dirichlet', 'series', 'associated', 'with', 'those', 'lattices', 'we', 'also', 'study', 'the', 'analytic', 'properties', 'of', 'the', 'dirichlet', 'series', 'and', 'rewrite', 'the', 'functional', 'equation', 'in', 'a', 'self', 'dual', 'form', 'using', 'the', 'explicit', 'relationship']] | [-0.22306731660177725, 0.06740102021528098, -0.07104862090717587, 0.10195062665217039, -0.1685305473446432, -0.08502101104628916, 0.001070382961188443, 0.34652225414497984, -0.3347055425660478, -0.2117517764887048, 0.08631069656500283, -0.29038476068267804, -0.21355640694188574, 0.17198822043266976, 0.04770480692645328, 0.08803316789110088, 0.01597985959961079, 0.08699516587269802, -0.1415269358807968, -0.2774088656523317, 0.38713852673148114, -0.04396376192906044, 0.2164576349573003, -0.0630553530386856, 0.0781161971648948, 0.025457356551972527, -0.060740078825296626, -0.04417780575911618, -0.23413487440363193, 0.20433156225933796, 0.23944712876174082, -0.03571850161663153, 0.20693213305073893, -0.3927162911924016, -0.15549170010490343, 0.1284023316240766, 0.05705451039830223, -0.015670469405853912, 0.014126382832829323, -0.21616182845254014, 0.0707111830253982, -0.16384884768113908, -0.15215381679849493, -0.11572652743456678, 0.04542918562785619, 0.09147756432745761, -0.2940154255678256, 0.07401601374820327, 0.07851894194674161, 0.13082077445384735, -0.14275351909842962, -0.11980831601734583, 0.009688108978379104, 0.057784708908810795, -0.010201971150106855, -0.04252582841501054, -0.005952378081726945, -0.11247584776720032, -0.08143571724132118, 0.3449668493639264, -0.08528668337708546, -0.26241200055099195, 0.16695487985594404, -0.16256973032270455, -0.21504038849767917, 0.0866286044021965, 0.15308077933473718, 0.12809380485365787, -0.12464277972725944, 0.18138299888717788, -0.10217313427064154, 0.08136922831181437, 0.15674153180508357, -0.007298566543290185, 0.1816750708450046, 0.026292872443769336, -0.02735120260493002, 0.2555249159017371, 0.006513141922672124, -0.1250484503689222, -0.3348526905756444, -0.19349209186879712, -0.1575269032166236, 0.0838973449362028, -0.10110299189586335, -0.21682873682584614, 0.3557821232405129, 0.0021025589343884755, 0.2312080763383872, 0.11441660651730166, 0.11925009207819433, 0.15327822952531278, 0.05214805751004153, 0.030090098657334845, 0.03203159094684654, 0.20504401626789737, 0.009419654030352831, -0.22475206647585663, -0.019635385697862755, 0.23122478057889062] |
711.05 | A search for transiting extrasolar planet candidates in the OGLE-II
microlens database of the galactic plane | In the late 1990s, the Optical Gravitational Lensing Experiment (OGLE) team
conducted the second phase of their long-term monitoring programme, OGLE-II,
which since has been superseded by OGLE-III. All the monitoring data of this
second phase, which was primarily aimed at finding microlensing events, have
recently been made public. Fields in the OGLE-II survey have typically been
observed with a cadence of once per night, over a period of a few months per
year. We investigated whether these radically differently sampled data can also
be used to search for transiting extrasolar planets, in particular in the light
of future projects such as PanSTARRS and SkyMapper, which will monitor large
fields, but mostly not at a cadence typical for transit studies. We selected
data for ~15700 stars with 13.0<I<16.0 in three OGLE-II fields towards the
galactic disc in the constellation Carina, each with 500-600 epochs of I-band
photometry. These light curves were first detrended using Sys-Rem, after which
they were searched for low amplitude transits using the Box Least Squares
algorithm. The detrending algorithm significantly decreased the scatter in the
light curves, from an average of 0.5% down to 0.2-0.3% for stars with I<15.
Several dozens of eclipsing binaries and low amplitude transits were found, of
which 13 candidates exhibit transits with such depth and duration that they are
possibly caused by an object with a radius less than twice that of Jupiter.
Eleven out of these thirteen candidates show significant ellipsoidal light
variations and are unlikely to host a transiting extrasolar planet. However,
OGLE2-TR-L9 (CAR_SC2_75679), is an excellent planet candidate comparable to the
known OGLE-III transiting planets, and deserves further follow-up observations.
| astro-ph | in the late 1990s the optical gravitational lensing experiment ogle team conducted the second phase of their longterm monitoring programme ogleii which since has been superseded by ogleiii all the monitoring data of this second phase which was primarily aimed at finding microlensing events have recently been made public fields in the ogleii survey have typically been observed with a cadence of once per night over a period of a few months per year we investigated whether these radically differently sampled data can also be used to search for transiting extrasolar planets in particular in the light of future projects such as panstarrs and skymapper which will monitor large fields but mostly not at a cadence typical for transit studies we selected data for 15700 stars with 130i160 in three ogleii fields towards the galactic disc in the constellation carina each with 500600 epochs of iband photometry these light curves were first detrended using sysrem after which they were searched for low amplitude transits using the box least squares algorithm the detrending algorithm significantly decreased the scatter in the light curves from an average of 05 down to 0203 for stars with i15 several dozens of eclipsing binaries and low amplitude transits were found of which 13 candidates exhibit transits with such depth and duration that they are possibly caused by an object with a radius less than twice that of jupiter eleven out of these thirteen candidates show significant ellipsoidal light variations and are unlikely to host a transiting extrasolar planet however ogle2trl9 car_sc2_75679 is an excellent planet candidate comparable to the known ogleiii transiting planets and deserves further followup observations | [['in', 'the', 'late', '1990s', 'the', 'optical', 'gravitational', 'lensing', 'experiment', 'ogle', 'team', 'conducted', 'the', 'second', 'phase', 'of', 'their', 'longterm', 'monitoring', 'programme', 'ogleii', 'which', 'since', 'has', 'been', 'superseded', 'by', 'ogleiii', 'all', 'the', 'monitoring', 'data', 'of', 'this', 'second', 'phase', 'which', 'was', 'primarily', 'aimed', 'at', 'finding', 'microlensing', 'events', 'have', 'recently', 'been', 'made', 'public', 'fields', 'in', 'the', 'ogleii', 'survey', 'have', 'typically', 'been', 'observed', 'with', 'a', 'cadence', 'of', 'once', 'per', 'night', 'over', 'a', 'period', 'of', 'a', 'few', 'months', 'per', 'year', 'we', 'investigated', 'whether', 'these', 'radically', 'differently', 'sampled', 'data', 'can', 'also', 'be', 'used', 'to', 'search', 'for', 'transiting', 'extrasolar', 'planets', 'in', 'particular', 'in', 'the', 'light', 'of', 'future', 'projects', 'such', 'as', 'panstarrs', 'and', 'skymapper', 'which', 'will', 'monitor', 'large', 'fields', 'but', 'mostly', 'not', 'at', 'a', 'cadence', 'typical', 'for', 'transit', 'studies', 'we', 'selected', 'data', 'for', '15700', 'stars', 'with', '130i160', 'in', 'three', 'ogleii', 'fields', 'towards', 'the', 'galactic', 'disc', 'in', 'the', 'constellation', 'carina', 'each', 'with', '500600', 'epochs', 'of', 'iband', 'photometry', 'these', 'light', 'curves', 'were', 'first', 'detrended', 'using', 'sysrem', 'after', 'which', 'they', 'were', 'searched', 'for', 'low', 'amplitude', 'transits', 'using', 'the', 'box', 'least', 'squares', 'algorithm', 'the', 'detrending', 'algorithm', 'significantly', 'decreased', 'the', 'scatter', 'in', 'the', 'light', 'curves', 'from', 'an', 'average', 'of', '05', 'down', 'to', '0203', 'for', 'stars', 'with', 'i15', 'several', 'dozens', 'of', 'eclipsing', 'binaries', 'and', 'low', 'amplitude', 'transits', 'were', 'found', 'of', 'which', '13', 'candidates', 'exhibit', 'transits', 'with', 'such', 'depth', 'and', 'duration', 'that', 'they', 'are', 'possibly', 'caused', 'by', 'an', 'object', 'with', 'a', 'radius', 'less', 'than', 'twice', 'that', 'of', 'jupiter', 'eleven', 'out', 'of', 'these', 'thirteen', 'candidates', 'show', 'significant', 'ellipsoidal', 'light', 'variations', 'and', 'are', 'unlikely', 'to', 'host', 'a', 'transiting', 'extrasolar', 'planet', 'however', 'ogle2trl9', 'car_sc2_75679', 'is', 'an', 'excellent', 'planet', 'candidate', 'comparable', 'to', 'the', 'known', 'ogleiii', 'transiting', 'planets', 'and', 'deserves', 'further', 'followup', 'observations']] | [-0.08706023067028987, 0.1408429321226625, -0.11226509762065554, 0.0597860599070339, -0.11971503816958931, -0.10805070753450748, 0.07766852792173504, 0.39629554584001503, -0.1642879048207154, -0.40346859759927073, 0.1481912243822417, -0.3421464201545826, -0.08951843725517392, 0.2638075109079687, -0.08002336110413226, 0.06023467281678071, 0.1387163488159853, -0.051397227233758676, -0.01097895513995792, -0.3858799599274924, 0.19824009792301459, 0.05053296125476697, 0.08933143126605837, -0.08252294591317574, 0.046369027777109294, -0.03237633160746622, -0.11283865341522162, -0.019361956407212548, -0.1091447028915152, 0.018955001592015228, 0.2621585918228245, 0.1442100224180009, 0.23370115376181072, -0.345150540082681, -0.21980991009967746, 0.10988875499935132, 0.1690484094308448, 0.03500818550819531, -0.050162108569336984, -0.3116467859285573, 0.07787926650532798, -0.1502030362961469, -0.16157679336007547, 0.011572175942085407, 0.11969675481733348, 0.04621522601271324, -0.19881258508130148, 0.05049292722844122, -0.02280912563006428, 0.1881172393405534, -0.1143861615366337, -0.14235668764449655, -0.04114854251534712, 0.08563587903993687, 0.049448542229624255, 0.0858649641072757, 0.08644006540826349, -0.10370532070390052, -0.06572562048504887, 0.3919210770081177, -0.10597139788361447, 0.025811128330382484, 0.18661647788680125, -0.21041764017815393, -0.1602378290957185, 0.17699449060040665, 0.20265835180436154, 0.14621333187032076, -0.22235563358715607, -0.047154309139673216, 0.009757318705130644, 0.23297997743701906, 0.10347753975160971, 0.05173105612328207, 0.361764976545237, 0.1311335786530334, 0.030802417052392332, 0.08092679967543248, -0.2872822514873136, -0.04064429186681216, -0.1966575166883154, -0.08424178535739581, -0.12968588275101933, 0.020869321529850517, -0.07655836418933985, -0.09920014155149046, 0.37974355718189917, 0.1197691253558905, 0.15874843889398985, 0.019270617453622872, 0.301429778220201, 0.05233367299316106, 0.14861751868701065, 0.08453780879714974, 0.36526772280879044, 0.07703693306539208, 0.12116689546965062, -0.17273168347288717, 0.07088597925138418, -0.02555362597556302] |
711.0501 | A new approach to strong embeddings | We revisit strong approximation theory from a new perspective, culminating in
a proof of the Koml\'os-Major-Tusn\'ady embedding theorem for the simple random
walk. The proof is almost entirely based on a series of soft arguments and easy
inequalities. The new technique, inspired by Stein's method of normal
approximation, is applicable to any setting where Stein's method works. In
particular, one can hope to take it beyond sums of independent random
variables.
| math.PR math.ST stat.TH | we revisit strong approximation theory from a new perspective culminating in a proof of the komlosmajortusnady embedding theorem for the simple random walk the proof is almost entirely based on a series of soft arguments and easy inequalities the new technique inspired by steins method of normal approximation is applicable to any setting where steins method works in particular one can hope to take it beyond sums of independent random variables | [['we', 'revisit', 'strong', 'approximation', 'theory', 'from', 'a', 'new', 'perspective', 'culminating', 'in', 'a', 'proof', 'of', 'the', 'komlosmajortusnady', 'embedding', 'theorem', 'for', 'the', 'simple', 'random', 'walk', 'the', 'proof', 'is', 'almost', 'entirely', 'based', 'on', 'a', 'series', 'of', 'soft', 'arguments', 'and', 'easy', 'inequalities', 'the', 'new', 'technique', 'inspired', 'by', 'steins', 'method', 'of', 'normal', 'approximation', 'is', 'applicable', 'to', 'any', 'setting', 'where', 'steins', 'method', 'works', 'in', 'particular', 'one', 'can', 'hope', 'to', 'take', 'it', 'beyond', 'sums', 'of', 'independent', 'random', 'variables']] | [-0.04839295697477187, 0.07957356011914746, -0.1969216437288888, 0.09551672342653111, -0.11462168331900743, -0.17262209966962397, 0.1340711853240656, 0.31072431443993687, -0.27252235915511847, -0.22840076191744335, 0.0921828654516016, -0.21749971716166278, -0.20004762354975855, 0.24648536180316563, -0.12712689449774547, 0.027281487190072805, 0.0186520747210778, 0.0014307212845330508, -0.06193105635744795, -0.2594953543067136, 0.292424123898201, -0.023841579680816388, 0.27202106162931927, 0.05307798877253499, 0.1127000859164646, 0.12446562814014689, -0.0649782498563889, 0.0035056096278655697, -0.11037606193723393, 0.18124843397977905, 0.19849111836298672, 0.1070602103569963, 0.32783561210397266, -0.40126691201806697, -0.1826983052896152, 0.08782982894442451, 0.1341218833326244, 0.1333250948293528, -0.03709699670803851, -0.2750835677110393, 0.04943059602568687, -0.13718126554199508, -0.17395395969867078, -0.11807471556215167, -0.03812393936669638, 0.006151546225686308, -0.30881167072015747, 0.06020900315250939, 0.16549043722686843, 0.028462119428375343, 0.002730777845422829, -0.11331413046155177, 0.13761958685821632, 0.05030553368195682, 0.04495685535702776, 0.04644146753134022, 0.08508289495317437, -0.029848828649436925, -0.1503663354054828, 0.3269927752086184, -0.0839778457548548, -0.18763866181104955, 0.1561952370881352, -0.10843411564800731, -0.20858008177741102, 0.0853181355649238, 0.15569639665035295, 0.17814972801265164, -0.1786074017659879, 0.15320438498050684, -0.08954109601728932, 0.1009265882369708, 0.0674011260041521, -0.02223130398836564, 0.11711594557494555, 0.13223130607806985, 0.10604846641309822, 0.13305351075152277, -0.00048527224841986744, -0.13826008211873786, -0.3248340618652357, -0.14434577868333165, -0.26574264624169175, 0.0823015404051878, -0.15274558418973933, -0.21412905898522322, 0.3414644186358741, 0.13969204435780855, 0.16332584643133088, 0.10320162171051955, 0.3043530693041607, 0.12475337791846881, 0.03804218897622236, 0.02866094824398907, 0.2045419628823727, 0.21186960683020592, 0.0640540986951493, -0.04572393040789265, 0.08443779450132918, 0.19496798402511736] |
711.0502 | Anomalous Pulsars | Many astrophysicists believe that Anomalous X-Ray Pulsars (AXP), Soft
Gamma-Ray Repeaters (SGR), Rotational Radio Transients (RRAT), Compact Central
Objects (CCO), and X-Ray Dim Isolated Neutron Stars (XDINS) belong to different
classes of anomalous objects with neutron stars as the central bodies inducing
all their observable peculiarities. We have shown earlier (I.F.Malov and
G.Z.Machabeli, Astron. Astrophys. Trans. 25, 7, 2006) that AXPs and SGRs could
be described by the drift model in the framework of preposition on usual
properties of the central neutron star (rotation periods P ~ 0.1 - 1 sec,
surface magnetic fields B ~ 10^11 - 10^13 G). Here we shall try to show that
some differences of considered sources will be explained by their geometry
(particularly, by the angle BETA between their rotation and magnetic axes). If
BETA < 10 deg. (the aligned rotator) the drift waves at the outer layers of the
neutron star magnetosphere should play a key role in the observable
periodicity. For large values of BETA (the case of the nearly orthogonal
rotator) an accretion from the surrounding medium (for example, from the relic
disk) can cause some modulation and transient events in received radiation.
| astro-ph | many astrophysicists believe that anomalous xray pulsars axp soft gammaray repeaters sgr rotational radio transients rrat compact central objects cco and xray dim isolated neutron stars xdins belong to different classes of anomalous objects with neutron stars as the central bodies inducing all their observable peculiarities we have shown earlier ifmalov and gzmachabeli astron astrophys trans 25 7 2006 that axps and sgrs could be described by the drift model in the framework of preposition on usual properties of the central neutron star rotation periods p 01 1 sec surface magnetic fields b 1011 1013 g here we shall try to show that some differences of considered sources will be explained by their geometry particularly by the angle beta between their rotation and magnetic axes if beta 10 deg the aligned rotator the drift waves at the outer layers of the neutron star magnetosphere should play a key role in the observable periodicity for large values of beta the case of the nearly orthogonal rotator an accretion from the surrounding medium for example from the relic disk can cause some modulation and transient events in received radiation | [['many', 'astrophysicists', 'believe', 'that', 'anomalous', 'xray', 'pulsars', 'axp', 'soft', 'gammaray', 'repeaters', 'sgr', 'rotational', 'radio', 'transients', 'rrat', 'compact', 'central', 'objects', 'cco', 'and', 'xray', 'dim', 'isolated', 'neutron', 'stars', 'xdins', 'belong', 'to', 'different', 'classes', 'of', 'anomalous', 'objects', 'with', 'neutron', 'stars', 'as', 'the', 'central', 'bodies', 'inducing', 'all', 'their', 'observable', 'peculiarities', 'we', 'have', 'shown', 'earlier', 'ifmalov', 'and', 'gzmachabeli', 'astron', 'astrophys', 'trans', '25', '7', '2006', 'that', 'axps', 'and', 'sgrs', 'could', 'be', 'described', 'by', 'the', 'drift', 'model', 'in', 'the', 'framework', 'of', 'preposition', 'on', 'usual', 'properties', 'of', 'the', 'central', 'neutron', 'star', 'rotation', 'periods', 'p', '01', '1', 'sec', 'surface', 'magnetic', 'fields', 'b', '1011', '1013', 'g', 'here', 'we', 'shall', 'try', 'to', 'show', 'that', 'some', 'differences', 'of', 'considered', 'sources', 'will', 'be', 'explained', 'by', 'their', 'geometry', 'particularly', 'by', 'the', 'angle', 'beta', 'between', 'their', 'rotation', 'and', 'magnetic', 'axes', 'if', 'beta', '10', 'deg', 'the', 'aligned', 'rotator', 'the', 'drift', 'waves', 'at', 'the', 'outer', 'layers', 'of', 'the', 'neutron', 'star', 'magnetosphere', 'should', 'play', 'a', 'key', 'role', 'in', 'the', 'observable', 'periodicity', 'for', 'large', 'values', 'of', 'beta', 'the', 'case', 'of', 'the', 'nearly', 'orthogonal', 'rotator', 'an', 'accretion', 'from', 'the', 'surrounding', 'medium', 'for', 'example', 'from', 'the', 'relic', 'disk', 'can', 'cause', 'some', 'modulation', 'and', 'transient', 'events', 'in', 'received', 'radiation']] | [-0.1334704725606669, 0.22110802400928004, -0.03575179006753338, 0.13268325551840904, -0.13147124556723883, -0.079718464532414, 0.03243072019336191, 0.4174351103100422, -0.2136171093795801, -0.34833763419096736, 0.06515186748379288, -0.2765096630707597, -0.06218656514569915, 0.254997863373845, -0.05785724640748388, -0.04241918554785976, 0.04327045644167811, -0.011208333686698933, -0.0406066431852712, -0.18829670635278564, 0.2586854891499152, 0.06445853219342393, 0.13535494595715725, -0.05831331838224385, 0.03912911945891038, -0.04293720916895246, -0.01543441112782504, -0.0465556539620298, -0.11931923817700826, 0.021943565021344535, 0.24642284397740621, 0.07504536301854092, 0.13601147942748423, -0.4135736444159537, -0.2076885769043017, 0.07550672303281121, 0.1372799007750645, -0.039253913023433576, -0.04387196993039971, -0.267967297669777, 0.07746447928602228, -0.22598042654414738, -0.20131138498970383, 0.02814549994214463, 0.12243069206943383, 0.056333798274548874, -0.18939422338043113, 0.10405268853001699, 0.11138545555956159, 0.04012586513559359, -0.12813670330718663, -0.11708373744544145, -0.006935502087848412, 0.07197042889389638, 0.10324796318403773, 0.08612534348425027, 0.18862311145844493, -0.12635294186907844, -0.1193450987593875, 0.36722815014623306, -0.040038969741530116, -0.0464589974767453, 0.19576199278738854, -0.27186849083203973, -0.1938649057284803, 0.16753257393610438, 0.13956489049297807, 0.13357554733551838, -0.13210679886208193, 0.03619760837302877, -0.018774778594741144, 0.17548729663689597, 0.10915600406257688, 0.04368818878523401, 0.3544802725969537, 0.0720724422534978, -0.017693369054373957, 0.08945848653596399, -0.23945826313559065, 0.020210304984671842, -0.24736290465839006, -0.08134498594303591, -0.11375840244928022, 0.12066445360731057, -0.11752254846088928, -0.09965284350619186, 0.31941697397143454, 0.06575942579153422, 0.15239990646573337, -0.04157714982819114, 0.244724801872429, 0.07435963876054597, 0.0607969460332439, 0.1451421053085879, 0.3358866192340675, 0.22286175582432063, 0.10906572623329389, -0.23437143848781047, 0.07831549302146242, 0.0014824927639769945] |
711.0503 | On time dynamics of coagulation-fragmentation processes | We establish a characterization of coagulation-fragmentation processes, such
that the induced birth and death processes depicting the total number of groups
at time $t\ge 0$ are time homogeneous. Based on this, we provide a
characterization of mean-field Gibbs coagulation-fragmentation models, which
extends the one derived by Hendriks et al. As a by- product of our results, the
class of solvable models is widened and a question posed by N. Berestycki and
Pitman is answered, under restriction to mean-field models.
| math.PR math.CO | we establish a characterization of coagulationfragmentation processes such that the induced birth and death processes depicting the total number of groups at time tge 0 are time homogeneous based on this we provide a characterization of meanfield gibbs coagulationfragmentation models which extends the one derived by hendriks et al as a by product of our results the class of solvable models is widened and a question posed by n berestycki and pitman is answered under restriction to meanfield models | [['we', 'establish', 'a', 'characterization', 'of', 'coagulationfragmentation', 'processes', 'such', 'that', 'the', 'induced', 'birth', 'and', 'death', 'processes', 'depicting', 'the', 'total', 'number', 'of', 'groups', 'at', 'time', 'tge', '0', 'are', 'time', 'homogeneous', 'based', 'on', 'this', 'we', 'provide', 'a', 'characterization', 'of', 'meanfield', 'gibbs', 'coagulationfragmentation', 'models', 'which', 'extends', 'the', 'one', 'derived', 'by', 'hendriks', 'et', 'al', 'as', 'a', 'by', 'product', 'of', 'our', 'results', 'the', 'class', 'of', 'solvable', 'models', 'is', 'widened', 'and', 'a', 'question', 'posed', 'by', 'n', 'berestycki', 'and', 'pitman', 'is', 'answered', 'under', 'restriction', 'to', 'meanfield', 'models']] | [-0.07736844532430553, 0.13749869500334638, -0.05758343167149295, 0.060620982523780696, -0.03600731669949033, -0.11848587948733415, 0.08853398202560268, 0.312324362508475, -0.27071823904481834, -0.30238277392270857, 0.10160561236373794, -0.2189852595090484, -0.13234065868593275, 0.20865276083350182, -0.061004983756738976, 0.019546187637994688, 0.03813035344370665, -0.010868033002808284, -0.0032428660734484973, -0.29145592271995086, 0.33748881918234896, 0.03704425732557399, 0.2054647997332116, 0.02757337194112225, 0.11274874742286137, 0.0035070669419394853, -0.04421821433023956, 0.03170097296914229, -0.20942691227957347, 0.08201810860863099, 0.21522741091995648, 0.14383493071923462, 0.2948133088648319, -0.3768532058844964, -0.2664699936643816, 0.1333618006274964, 0.09051110518451494, 0.08673320455590072, -0.020013547626335938, -0.31408285652884305, 0.052501116127062306, -0.1495096024054174, -0.15772434238654873, -0.04662180626287292, 0.05137265309130248, 0.05525142697689052, -0.3120394248204927, 0.11375113959627178, 0.16201937244011042, 0.03982527307263622, -0.0732002836258079, -0.10034909847532757, -0.014845239288078096, 0.09253732331144886, -0.02097469653026798, -0.010481788627564525, 0.06627362311626665, -0.09250270931993444, -0.1682891181240288, 0.34243616533394045, -0.08256560932988158, -0.17999290863577372, 0.22527826118927735, -0.13450576559019586, -0.15269379979835299, 0.09704923989006485, 0.1402015811047302, 0.15923780629124779, -0.15325893497524354, 0.15303836891633602, -0.09238345635672793, 0.06978353635312463, 0.07522290048953624, -0.04345558962832468, 0.10693082558468749, 0.18958938517607749, 0.04571014757339771, 0.13381040403440309, -0.003959084669939983, -0.11006781709371492, -0.27917484391050845, -0.13132853815570855, -0.1815470858859137, 0.12117758845217907, -0.050768430242710445, -0.14931126562106117, 0.36430715481774545, 0.1319541103946857, 0.21940044994251087, 0.12858139478917927, 0.18615307150265345, 0.1407848606662204, -0.02530038218276623, 0.09795266269252469, 0.12129547499502316, 0.17961895614802742, 0.046674847310313426, -0.18206585191476804, 0.1014006078744737, 0.12964501532200629] |
711.0504 | CPT violations in Astrophysics and Cosmology | In this paper it is given a brief review of the current limits on the
magnitude of CPT and Lorentz Invariance violations, currently predicted in
connection with quantum gravity and string/M-theory, that can be derived from
astrophysical and cosmological data. Even if not completely unambiguous, these
observational tests of fundamental physics are complementary to the ones
obtained by accelerator experiments and by ground or space based direct
experiments, because potentially can access very high energies and large
distances.
| astro-ph hep-ph | in this paper it is given a brief review of the current limits on the magnitude of cpt and lorentz invariance violations currently predicted in connection with quantum gravity and stringmtheory that can be derived from astrophysical and cosmological data even if not completely unambiguous these observational tests of fundamental physics are complementary to the ones obtained by accelerator experiments and by ground or space based direct experiments because potentially can access very high energies and large distances | [['in', 'this', 'paper', 'it', 'is', 'given', 'a', 'brief', 'review', 'of', 'the', 'current', 'limits', 'on', 'the', 'magnitude', 'of', 'cpt', 'and', 'lorentz', 'invariance', 'violations', 'currently', 'predicted', 'in', 'connection', 'with', 'quantum', 'gravity', 'and', 'stringmtheory', 'that', 'can', 'be', 'derived', 'from', 'astrophysical', 'and', 'cosmological', 'data', 'even', 'if', 'not', 'completely', 'unambiguous', 'these', 'observational', 'tests', 'of', 'fundamental', 'physics', 'are', 'complementary', 'to', 'the', 'ones', 'obtained', 'by', 'accelerator', 'experiments', 'and', 'by', 'ground', 'or', 'space', 'based', 'direct', 'experiments', 'because', 'potentially', 'can', 'access', 'very', 'high', 'energies', 'and', 'large', 'distances']] | [-0.08705016818399039, 0.18076391201705122, -0.063435470028661, 0.09769064562025075, -0.11863788649535333, -0.14594664064665827, 0.051012643706948996, 0.3160485634699655, -0.23813784576785296, -0.3635428211090561, 0.1477595180219326, -0.24262445867778018, -0.08562331496534917, 0.2601935830868733, -0.010203636693171201, 0.04848601653551062, 0.08408306453388949, 0.011108312397622146, -0.08742204785066394, -0.2260788813328896, 0.31367887219843954, 0.12820371644249043, 0.287845897387552, 0.08067253306030463, 0.07712945819217473, -0.06114941464068416, -0.06677757358799379, 0.06660867564175696, -0.11373598244720667, 0.09836052439939709, 0.27108382631260425, 0.15827198293155584, 0.16503366202307054, -0.4611686405797417, -0.19308863008299318, 0.10433032684840071, 0.10366077431573127, 0.1318296288163998, -0.08823270028463015, -0.34019920584530783, 0.046402236428828195, -0.14588535266617933, -0.07809065544428542, -0.11998864025092469, 0.008935953800876936, -0.00795312200147563, -0.23021573085600558, 0.06424859408229494, 0.005031680437521293, 0.04177728512037832, -0.02591288753021031, -0.09964095885963896, 0.04817210581416312, 0.08601341461344884, 0.090929791985008, 0.029039105746704034, 0.10020985812521897, -0.15027169410127383, -0.151531224234555, 0.4529003994061779, -0.057573778624198615, -0.16966018800098354, 0.254018024847401, -0.213058616918249, -0.14398620821511707, 0.07031752723746766, 0.11362894316418813, 0.06452151396287939, -0.16864538512144905, 0.10723862813364786, -0.008176898458399452, 0.13360389015183616, 0.05189652189325828, 0.08132081206004398, 0.2805361043040951, 0.1194290820724116, 0.04911239958033921, 0.01771925462750145, -0.06744094093879446, -0.05223029560576647, -0.35152527953808504, -0.10784527588970004, -0.19261978585750628, 0.09347455321459655, -0.05362371686351253, -0.07597282403954662, 0.34197823812540334, 0.15497885199669653, 0.17774013511669368, 0.01948616790394179, 0.30754507457813585, 0.06213537561826599, 0.0740898077447827, 0.04294646470300041, 0.32191611869403947, 0.09738136093633679, 0.046164680120105356, -0.17429384054281774, 0.056874666637621626, 0.009434537603878058] |
711.0505 | Proofs of nonlocality without inequalities revisited | We discuss critically the so-called nonlocality without inequalities proofs
for bipartite quantum states, we generalize them and we analyze their relation
with the Clauser-Horne inequality.
| quant-ph | we discuss critically the socalled nonlocality without inequalities proofs for bipartite quantum states we generalize them and we analyze their relation with the clauserhorne inequality | [['we', 'discuss', 'critically', 'the', 'socalled', 'nonlocality', 'without', 'inequalities', 'proofs', 'for', 'bipartite', 'quantum', 'states', 'we', 'generalize', 'them', 'and', 'we', 'analyze', 'their', 'relation', 'with', 'the', 'clauserhorne', 'inequality']] | [-0.12411594534991309, 0.13359499532729388, -0.07045105528086423, 0.20461478032171726, -0.07129147998988629, -0.24889156028628348, 0.12166006560437381, 0.334793690815568, -0.23726026125252248, -0.280597063228488, 0.09174222150817514, -0.33267111659049986, -0.14231769092381, 0.16871375262737273, -0.1111744823679328, 0.10721654556691647, 0.03719130128622055, -0.0291151512414217, -0.10436841291375458, -0.2641356851998717, 0.40008155405521395, -0.07391859656665474, 0.260198760535568, 0.17382024995051323, 0.007997648622840643, 0.0763148894906044, -0.0198674651235342, -0.012846502475440502, -0.28237126737833024, 0.1678761743637733, 0.2037042920291424, 0.23336016021668912, 0.23535062119364739, -0.47216894656419756, -0.10826606050133705, 0.1840487178787589, 0.031134187914431094, 0.16803390085697173, 0.023188319355249405, -0.36550721012055876, -0.018556294366717338, -0.12977313421666622, -0.18775854662060737, -0.15334682043641806, -0.03921098992228508, -0.020611061751842498, -0.15919529765844345, 0.14375902209430932, 0.13265555642545224, 0.039044191432185474, -0.02543285109102726, -0.028578103929758073, 0.09130279814824462, 0.04642810381948948, -0.06656839735805989, -0.14390114460140466, 0.07141883624717593, -0.09559493958950042, -0.23476413294672965, 0.2910956434160471, 0.02928175806067884, -0.2476479359716177, 0.15485250385012478, -0.11520513176918029, -0.19959256034344436, -0.18940861910581588, 0.0942210577428341, 0.09005470735952258, -0.09195018193684518, 0.07546309049008414, -0.07568080812692642, 0.10823201298713685, 0.09313462466001511, 0.19497457921504974, 0.06088941372931003, -0.027159077115356922, 0.06676623797044158, 0.27147645115852354, -0.03561932730604894, -0.15811112876981498, -0.3496547843515873, -0.24989174496382474, -0.1954290023446083, 0.10620381638407707, -0.1456696254009148, -0.08114984586834907, 0.3475729151442647, 0.1293248776718974, 0.12386619385331869, 0.13864656820893287, 0.1684782798588276, 0.11356964111328124, 0.032335534868761895, 0.08961827997118235, 0.2971271052956581, 0.24376981928944588, 0.08513730950653553, -0.20710519917309284, 0.08820547699928284, 0.1124825044348836] |
711.0506 | Binaries among Extreme Horizontal Branch Stars in Globular Clusters | Following a review of our present knowledge about blue subdwarf stars in
globular clusters, we present an overview of the results of searches for close
binaries among these stars, including results previously published in the
literature and reporting recent and preliminary results of new data. Previous
investigations revealed a lack of close systems in NGC 6752, which we confirm
with new, more extensive observations. Our estimate of the close binary
fraction in this cluster is only 4%. From a review of the relevant literature,
there are indications that a low close binary fraction among extreme horizontal
branch (EHB) stars is a common feature in globular star clusters. On the other
hand, the field EHB population shows evidence of a remarkably high binary
fraction. Such a difference among globular cluster and field populations,
although not yet explained in detail on the basis of theoretical models, must
necessarily be related to different formation histories for EHB stars in the
field and in clusters. In this framework, preliminary results indicate that
close systems could be relatively common in the peculiar globular cluster NGC
2808, although the sample of studied stars is still small. This would imply
that not all clusters share the same behavior, as far as EHB star formation is
concerned. We briefly explore possible explanations for these results.
| astro-ph | following a review of our present knowledge about blue subdwarf stars in globular clusters we present an overview of the results of searches for close binaries among these stars including results previously published in the literature and reporting recent and preliminary results of new data previous investigations revealed a lack of close systems in ngc 6752 which we confirm with new more extensive observations our estimate of the close binary fraction in this cluster is only 4 from a review of the relevant literature there are indications that a low close binary fraction among extreme horizontal branch ehb stars is a common feature in globular star clusters on the other hand the field ehb population shows evidence of a remarkably high binary fraction such a difference among globular cluster and field populations although not yet explained in detail on the basis of theoretical models must necessarily be related to different formation histories for ehb stars in the field and in clusters in this framework preliminary results indicate that close systems could be relatively common in the peculiar globular cluster ngc 2808 although the sample of studied stars is still small this would imply that not all clusters share the same behavior as far as ehb star formation is concerned we briefly explore possible explanations for these results | [['following', 'a', 'review', 'of', 'our', 'present', 'knowledge', 'about', 'blue', 'subdwarf', 'stars', 'in', 'globular', 'clusters', 'we', 'present', 'an', 'overview', 'of', 'the', 'results', 'of', 'searches', 'for', 'close', 'binaries', 'among', 'these', 'stars', 'including', 'results', 'previously', 'published', 'in', 'the', 'literature', 'and', 'reporting', 'recent', 'and', 'preliminary', 'results', 'of', 'new', 'data', 'previous', 'investigations', 'revealed', 'a', 'lack', 'of', 'close', 'systems', 'in', 'ngc', '6752', 'which', 'we', 'confirm', 'with', 'new', 'more', 'extensive', 'observations', 'our', 'estimate', 'of', 'the', 'close', 'binary', 'fraction', 'in', 'this', 'cluster', 'is', 'only', '4', 'from', 'a', 'review', 'of', 'the', 'relevant', 'literature', 'there', 'are', 'indications', 'that', 'a', 'low', 'close', 'binary', 'fraction', 'among', 'extreme', 'horizontal', 'branch', 'ehb', 'stars', 'is', 'a', 'common', 'feature', 'in', 'globular', 'star', 'clusters', 'on', 'the', 'other', 'hand', 'the', 'field', 'ehb', 'population', 'shows', 'evidence', 'of', 'a', 'remarkably', 'high', 'binary', 'fraction', 'such', 'a', 'difference', 'among', 'globular', 'cluster', 'and', 'field', 'populations', 'although', 'not', 'yet', 'explained', 'in', 'detail', 'on', 'the', 'basis', 'of', 'theoretical', 'models', 'must', 'necessarily', 'be', 'related', 'to', 'different', 'formation', 'histories', 'for', 'ehb', 'stars', 'in', 'the', 'field', 'and', 'in', 'clusters', 'in', 'this', 'framework', 'preliminary', 'results', 'indicate', 'that', 'close', 'systems', 'could', 'be', 'relatively', 'common', 'in', 'the', 'peculiar', 'globular', 'cluster', 'ngc', '2808', 'although', 'the', 'sample', 'of', 'studied', 'stars', 'is', 'still', 'small', 'this', 'would', 'imply', 'that', 'not', 'all', 'clusters', 'share', 'the', 'same', 'behavior', 'as', 'far', 'as', 'ehb', 'star', 'formation', 'is', 'concerned', 'we', 'briefly', 'explore', 'possible', 'explanations', 'for', 'these', 'results']] | [-0.08604289923230195, 0.09296134020335176, -0.09128941421306902, 0.10732769044083951, -0.10850961352183487, -0.04933820332052864, 0.11186390013910384, 0.41583226820290914, -0.137334218983429, -0.3416254352606524, 0.055854638108193945, -0.2841937944039805, -0.11859781308070658, 0.23736386040702015, -0.0987266759765828, -0.05278511230795202, 0.17767405625559338, 0.029478346974554596, -0.019435914241105814, -0.2981956368489277, 0.31607331684039486, 0.009318565604306998, 0.17704493837368843, -0.02755494638719523, 0.009479795731196377, -0.08755764813046507, -0.06439017551234379, 0.008012270032372412, -0.15539890822515504, 0.05441891304194814, 0.27398316054100996, 0.15007717451209435, 0.24371679926565784, -0.3559453665805068, -0.20838758435254823, 0.0670401139983109, 0.23780169396678388, 0.10219289996062539, -0.14313443062789705, -0.23846528718348867, 0.10706290878218165, -0.17127493395543045, -0.17340332178253046, 0.008320150171591115, 0.054134750371253815, 0.06403096617105061, -0.18951692192682199, 0.12630957429895975, 0.06507231211633108, 0.0911008547390661, -0.1356752907384127, -0.1943184861200883, 0.0147243387984275, 0.10973031111362, 0.04570176423643179, 0.06121590766145887, 0.08412292165776139, -0.1390103181826234, -0.06851688664286368, 0.38604089672664343, -0.039027012049859984, -0.03280188160420563, 0.2857182406678727, -0.20675979404439848, -0.266179887024248, 0.05426887039233038, 0.1467398137813391, 0.13998777629198156, -0.21163270259404787, -0.0040430763884166405, -0.0578300845852199, 0.20454721051066566, 0.030643860040198204, 0.07414226116202687, 0.3201041999798749, 0.16176201432539913, 0.009026891178524439, 0.10649222621457084, -0.12260965001018297, -0.11094478963501966, -0.23362164676601435, -0.09873559422499162, -0.11990441438529538, 0.018980318398353287, -0.10164039933701016, -0.15721614088451122, 0.3047748433666364, 0.1131972158928552, 0.22903885660169448, -0.007840091744030091, 0.25732538194614485, 0.04617688480457763, 0.10673659366731476, 0.10345129923646076, 0.30293195360353053, 0.17701115169077425, 0.062363745213898265, -0.22423534487129493, 0.09889728589303157, -0.051795564416993393] |
711.0507 | A rigorous analysis of high order electromagnetic invisibility cloaks | There is currently a great deal of interest in the invisibility cloaks
recently proposed by Pendry et al. that are based in the transformation
approach. They obtained their results using first order transformations. In
recent papers Hendi et al. and Cai et al. considered invisibility cloaks with
high order transformations. In this paper we study high order electromagnetic
invisibility cloaks in transformation media obtained by high order
transformations from general anisotropic media. We consider the case where
there is a finite number of spherical cloaks located in different points in
space. We prove that for any incident plane wave, at any frequency, the
scattered wave is identically zero. We also consider the scattering of finite
energy wave packets. We prove that the scattering matrix is the identity, i.e.,
that for any incoming wave packet the outgoing wave packet is the same as the
incoming one. This proves that the invisibility cloaks can not be detected in
any scattering experiment with electromagnetic waves in high order
transformation media, and in particular in the first order transformation media
of Pendry et al. We also prove that the high order invisibility cloaks, as well
as the first order ones, cloak passive and active devices. The cloaked objects
completely decouple from the exterior. Actually, the cloaking outside is
independent of what is inside the cloaked objects. The electromagnetic waves
inside the cloaked objects can not leave the concealed regions and viceversa,
the electromagnetic waves outside the cloaked objects can not go inside the
concealed regions. As we prove our results for media that are obtained by
transformation from general anisotropic materials, we prove that it is possible
to cloak objects inside general crystals.
| physics.optics math-ph math.MP | there is currently a great deal of interest in the invisibility cloaks recently proposed by pendry et al that are based in the transformation approach they obtained their results using first order transformations in recent papers hendi et al and cai et al considered invisibility cloaks with high order transformations in this paper we study high order electromagnetic invisibility cloaks in transformation media obtained by high order transformations from general anisotropic media we consider the case where there is a finite number of spherical cloaks located in different points in space we prove that for any incident plane wave at any frequency the scattered wave is identically zero we also consider the scattering of finite energy wave packets we prove that the scattering matrix is the identity ie that for any incoming wave packet the outgoing wave packet is the same as the incoming one this proves that the invisibility cloaks can not be detected in any scattering experiment with electromagnetic waves in high order transformation media and in particular in the first order transformation media of pendry et al we also prove that the high order invisibility cloaks as well as the first order ones cloak passive and active devices the cloaked objects completely decouple from the exterior actually the cloaking outside is independent of what is inside the cloaked objects the electromagnetic waves inside the cloaked objects can not leave the concealed regions and viceversa the electromagnetic waves outside the cloaked objects can not go inside the concealed regions as we prove our results for media that are obtained by transformation from general anisotropic materials we prove that it is possible to cloak objects inside general crystals | [['there', 'is', 'currently', 'a', 'great', 'deal', 'of', 'interest', 'in', 'the', 'invisibility', 'cloaks', 'recently', 'proposed', 'by', 'pendry', 'et', 'al', 'that', 'are', 'based', 'in', 'the', 'transformation', 'approach', 'they', 'obtained', 'their', 'results', 'using', 'first', 'order', 'transformations', 'in', 'recent', 'papers', 'hendi', 'et', 'al', 'and', 'cai', 'et', 'al', 'considered', 'invisibility', 'cloaks', 'with', 'high', 'order', 'transformations', 'in', 'this', 'paper', 'we', 'study', 'high', 'order', 'electromagnetic', 'invisibility', 'cloaks', 'in', 'transformation', 'media', 'obtained', 'by', 'high', 'order', 'transformations', 'from', 'general', 'anisotropic', 'media', 'we', 'consider', 'the', 'case', 'where', 'there', 'is', 'a', 'finite', 'number', 'of', 'spherical', 'cloaks', 'located', 'in', 'different', 'points', 'in', 'space', 'we', 'prove', 'that', 'for', 'any', 'incident', 'plane', 'wave', 'at', 'any', 'frequency', 'the', 'scattered', 'wave', 'is', 'identically', 'zero', 'we', 'also', 'consider', 'the', 'scattering', 'of', 'finite', 'energy', 'wave', 'packets', 'we', 'prove', 'that', 'the', 'scattering', 'matrix', 'is', 'the', 'identity', 'ie', 'that', 'for', 'any', 'incoming', 'wave', 'packet', 'the', 'outgoing', 'wave', 'packet', 'is', 'the', 'same', 'as', 'the', 'incoming', 'one', 'this', 'proves', 'that', 'the', 'invisibility', 'cloaks', 'can', 'not', 'be', 'detected', 'in', 'any', 'scattering', 'experiment', 'with', 'electromagnetic', 'waves', 'in', 'high', 'order', 'transformation', 'media', 'and', 'in', 'particular', 'in', 'the', 'first', 'order', 'transformation', 'media', 'of', 'pendry', 'et', 'al', 'we', 'also', 'prove', 'that', 'the', 'high', 'order', 'invisibility', 'cloaks', 'as', 'well', 'as', 'the', 'first', 'order', 'ones', 'cloak', 'passive', 'and', 'active', 'devices', 'the', 'cloaked', 'objects', 'completely', 'decouple', 'from', 'the', 'exterior', 'actually', 'the', 'cloaking', 'outside', 'is', 'independent', 'of', 'what', 'is', 'inside', 'the', 'cloaked', 'objects', 'the', 'electromagnetic', 'waves', 'inside', 'the', 'cloaked', 'objects', 'can', 'not', 'leave', 'the', 'concealed', 'regions', 'and', 'viceversa', 'the', 'electromagnetic', 'waves', 'outside', 'the', 'cloaked', 'objects', 'can', 'not', 'go', 'inside', 'the', 'concealed', 'regions', 'as', 'we', 'prove', 'our', 'results', 'for', 'media', 'that', 'are', 'obtained', 'by', 'transformation', 'from', 'general', 'anisotropic', 'materials', 'we', 'prove', 'that', 'it', 'is', 'possible', 'to', 'cloak', 'objects', 'inside', 'general', 'crystals']] | [-0.1432049682791141, 0.14298259818385686, -0.04621784280865423, 0.0038420678789003026, -0.14296587604501929, -0.08590045491547248, 0.0013236530683433977, 0.40627536705050843, -0.23610991889971397, -0.27576616689509387, 0.08055313559930011, -0.3286711917388984, -0.19683873459052523, 0.16654157462967126, -0.05467893996865966, 0.08128115028396622, -0.0163672063597745, 0.0052175951318808676, -0.04172230272626464, -0.21294024182937532, 0.33455336515167494, 0.03606286360698629, 0.29652547893885484, 0.004672572474032106, 0.09627961356519958, 0.050886765245087846, -0.0025416328121096858, 0.021237202038663843, -0.09747279184477364, 0.036793090080121355, 0.28873912385484624, 0.08627421580653827, 0.19350898240636166, -0.4466740552295921, -0.26631541541480463, 0.08215954633409618, 0.1582031839261813, 0.149355807738866, -0.08327011149259798, -0.3207956400648173, 0.0792531124295293, -0.14953601540159767, -0.17924352063404983, -0.011499161145225915, 0.04674743667852441, 0.024980257688370602, -0.23712025822630972, 0.018466456159001603, 0.09174758253333669, -0.02435109032631775, -0.08999433684460927, -0.03819275977245221, 0.01668286896861529, 0.08082612866567494, 0.00791620432339128, 0.002859138235229478, 0.08294773355667148, -0.11588713810837571, -0.057599200376419614, 0.42052187776947425, -0.0018512168348396338, -0.21382963729648446, 0.1660129262324703, -0.18164881691503534, -0.020880435728618214, 0.17162505415181453, 0.18371794798067606, 0.14117093585217938, -0.11879623878378368, 0.07710178182660653, -0.09773750413069626, 0.13612176658206795, 0.17900169486894296, 0.03171045551770016, 0.19112665061989137, 0.06339131293594703, 0.029989599460555662, 0.12441554413833004, -0.056330813429615455, 0.03629588692655159, -0.33089352796508475, -0.15642633229514125, -0.23185586868860428, 0.00490657693473205, -0.0642479562186419, -0.14988464211976643, 0.3101546475463497, 0.1727987914730037, 0.15130291341413413, -0.022833355396191544, 0.2976637542594932, 0.12319981705232133, 0.07404224038554696, 0.13112634609162968, 0.33319007299296344, 0.09770929695384103, 0.12984391079053922, -0.12927274963831842, 0.031208348601111827, 0.04781404819913662] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.