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711.4808 | The MAJORANA 76Ge neutrino less double-beta decay project: A brief
update | At present, MAJORANA is a research and development (R&D) project to
investigate the feasibility and cost of constructing and operating a one ton
decay experiment with ~1000 kg of Ge detectors fabricated from germanium
enriched to 86% in . The study will include three separate cryostats with
various types of detectors: un-segmented, un-segmented point-contact, minimally
segmented, and highly segmented. One cryostat will contain at least 30 kg of
enriched (preferably point-contact) detectors. The performance of the cryostats
and detectors as well as background levels will be investigated. The goal of
the demonstrator project is to reach a discovery sensitivity of ~ 1026 y.
| nucl-ex | at present majorana is a research and development rd project to investigate the feasibility and cost of constructing and operating a one ton decay experiment with 1000 kg of ge detectors fabricated from germanium enriched to 86 in the study will include three separate cryostats with various types of detectors unsegmented unsegmented pointcontact minimally segmented and highly segmented one cryostat will contain at least 30 kg of enriched preferably pointcontact detectors the performance of the cryostats and detectors as well as background levels will be investigated the goal of the demonstrator project is to reach a discovery sensitivity of 1026 y | [['at', 'present', 'majorana', 'is', 'a', 'research', 'and', 'development', 'rd', 'project', 'to', 'investigate', 'the', 'feasibility', 'and', 'cost', 'of', 'constructing', 'and', 'operating', 'a', 'one', 'ton', 'decay', 'experiment', 'with', '1000', 'kg', 'of', 'ge', 'detectors', 'fabricated', 'from', 'germanium', 'enriched', 'to', '86', 'in', 'the', 'study', 'will', 'include', 'three', 'separate', 'cryostats', 'with', 'various', 'types', 'of', 'detectors', 'unsegmented', 'unsegmented', 'pointcontact', 'minimally', 'segmented', 'and', 'highly', 'segmented', 'one', 'cryostat', 'will', 'contain', 'at', 'least', '30', 'kg', 'of', 'enriched', 'preferably', 'pointcontact', 'detectors', 'the', 'performance', 'of', 'the', 'cryostats', 'and', 'detectors', 'as', 'well', 'as', 'background', 'levels', 'will', 'be', 'investigated', 'the', 'goal', 'of', 'the', 'demonstrator', 'project', 'is', 'to', 'reach', 'a', 'discovery', 'sensitivity', 'of', '1026', 'y']] | [-0.06631795033618881, 0.19507427268435643, 0.0030763171207491714, -0.032603190517938224, -0.016364163965779808, -0.17882194740255133, -0.014901569239924303, 0.357783085749586, -0.13354268818540443, -0.40062071655941484, 0.13341936202244925, -0.3948418063544991, -0.002608965129112032, 0.20534515949796037, -0.007450435255276095, 0.020417957926298132, 0.09735677345185587, 0.029825167384662545, -0.10106265825037337, -0.2617886921870384, 0.2230987181336075, 0.13433112496381053, 0.2841013151008894, -0.0031436288609436834, 0.14118026121229044, -0.06464911657062793, -0.04547510757157118, -0.01727017913806704, -0.08956718452662082, 0.073607910189335, 0.35663111954189763, 0.13631331880051312, 0.208010765069192, -0.4416983464714324, -0.12499084400179067, 0.0718315809614735, 0.07986189543596921, -0.018022867546665787, -0.07606718001315499, -0.33918810604453675, 0.14898718164376176, -0.19307400031697633, -0.11199321228973937, 0.024833810649406495, -0.03454972436596261, -0.009606083045888803, -0.21191709619568716, -0.09041094257828254, -0.014539588730330441, 0.017209128997666707, -0.005044253423146092, -0.1792457094139392, 0.07533015758559883, 0.07709451077395293, -0.048982367203063745, 0.017063479225086695, 0.1988009597753442, -0.12131271142475676, -0.07875299673195522, 0.30810489729081403, -0.09767910376500043, -0.10103431187275022, 0.20312638807636085, -0.18981137813995638, -0.09314625000691798, 0.18448168665659384, 0.19040548218653933, 0.11758616878328347, -0.2126133514863282, 0.016186469715747907, 0.06477433718086248, 0.19718775786643866, 0.09571602757061178, 0.04455564481824046, 0.264638047750652, 0.3464356848398353, 0.06074862479518103, 0.12663958614835016, -0.21063777608889164, 0.06869759567146476, -0.3377721704240649, -0.20723504805706883, -0.0983662847475619, 0.05028936774285492, 0.031407820748535244, -0.11454827726200813, 0.39111858542713496, 0.12815292434545583, 0.11660243192281906, -0.03047106074086289, 0.23743724818272277, -0.04532226747694877, 0.10371549800960439, -0.05787391417964113, 0.266875239485635, 0.12741290939289449, 0.08576392081778238, -0.16200586231102668, 0.0015425517760899545, -0.012307471865419261] |
711.4809 | Local independence of fractional Brownian motion | Let S(t,t') be the sigma-algebra generated by the differences X(s)-X(s) with
s,s' in the interval(t,t'), where (X_t) is the fractional Brownian motion
process with Hurst index H between 0 and 1. We prove that for any two distinct
t and t' the sigma-algebras S(t-a,t+a) and S(t'-a,t'+a) are asymptotically
independent as a tends to 0. We show this in the strong sense that Shannon's
mutual information between these two sigma-algebras tends to zero as a tends to
0. Some generalizations and quantitative estimates are provided also.
| math.PR cs.IT math.IT | let stt be the sigmaalgebra generated by the differences xsxs with ss in the intervaltt where x_t is the fractional brownian motion process with hurst index h between 0 and 1 we prove that for any two distinct t and t the sigmaalgebras stata and stata are asymptotically independent as a tends to 0 we show this in the strong sense that shannons mutual information between these two sigmaalgebras tends to zero as a tends to 0 some generalizations and quantitative estimates are provided also | [['let', 'stt', 'be', 'the', 'sigmaalgebra', 'generated', 'by', 'the', 'differences', 'xsxs', 'with', 'ss', 'in', 'the', 'intervaltt', 'where', 'x_t', 'is', 'the', 'fractional', 'brownian', 'motion', 'process', 'with', 'hurst', 'index', 'h', 'between', '0', 'and', '1', 'we', 'prove', 'that', 'for', 'any', 'two', 'distinct', 't', 'and', 't', 'the', 'sigmaalgebras', 'stata', 'and', 'stata', 'are', 'asymptotically', 'independent', 'as', 'a', 'tends', 'to', '0', 'we', 'show', 'this', 'in', 'the', 'strong', 'sense', 'that', 'shannons', 'mutual', 'information', 'between', 'these', 'two', 'sigmaalgebras', 'tends', 'to', 'zero', 'as', 'a', 'tends', 'to', '0', 'some', 'generalizations', 'and', 'quantitative', 'estimates', 'are', 'provided', 'also']] | [-0.10216687262866152, 0.18230955302715302, -0.07731909196015942, 0.053026133433727904, -0.05209275882085224, -0.17228447556136603, 0.031596814147589435, 0.38458035928926554, -0.35053197599678154, -0.22644118089453283, 0.10508195486435869, -0.343314462442355, -0.10889392435909753, 0.1601941238482853, -0.1036884069487632, 0.0074420227165648105, 0.0006783091104084469, 0.099823066897421, -0.03306838184530589, -0.19965850500984633, 0.27843281791646435, -0.05114251887986818, 0.20338272131665283, 0.019304611706118805, 0.09780715981425425, -0.022302396934905863, -0.0141661659511457, 0.044337894192459176, -0.23334279986388046, 0.05638044165918626, 0.23616828874920506, 0.07326034177717099, 0.31790074021611586, -0.31580835211663, -0.14942857501916137, 0.1750580195382417, 0.1533597262978767, -0.011097254664973771, 0.019269110317936683, -0.28721857591004796, 0.15956649722823177, -0.12545136727128986, -0.08511332819148539, -0.05777742078595133, 0.11378934202541832, 0.07218293504542615, -0.3600261654110109, 0.0621313104481038, 0.1413241753702512, 0.02188576751175415, -0.023649732643985247, -0.14262833953442344, -0.07070013160357275, 0.13305259995858174, 0.08240018095729973, 0.06572939912614648, 0.06008016756814288, -0.06364149503488407, -0.1461926817077672, 0.2884113491254758, -0.13407477540951446, -0.27447298615722054, 0.1930382911239313, -0.21539069866447383, -0.09332337977746165, 0.04368343512830605, 0.07195368831618185, 0.10873976138880453, -0.08041276667177318, 0.11881551275826452, -0.0116655059069036, 0.13109767862247773, 0.0847909637693181, 0.04353429586907108, 0.1436325484909207, 0.05526393997561501, 0.11099441104893942, 0.14079427355423524, -0.0856002551020987, -0.07500259305563677, -0.36619420067588826, -0.19895715862288174, -0.18976974645517317, 0.12164006454881325, -0.15541904902643894, -0.1405057098424758, 0.2779320114157555, 0.15445626187082157, 0.24161808128210616, 0.11515811523310392, 0.22147182613072625, 0.1268722900155797, -0.05072994506637375, 0.10437469696626067, 0.13090905487847357, 0.14981663283465588, 0.06885013870715377, -0.16709077827273364, 0.061785339321716724, 0.05560227733733783] |
711.481 | Dark Energy in Light of the Cosmic Horizon | Based on dramatic observations of the CMB with WMAP and of Type Ia supernovae
with the Hubble Space Telescope and ground-based facilities, it is now
generally believed that the Universe's expansion is accelerating. Within the
context of standard cosmology, the Universe must therefore contain a third
`dark' component of energy, beyond matter and radiation. However, the current
data are still deemed insufficient to distinguish between an evolving dark
energy component and the simplest model of a time-independent cosmological
constant. In this paper, we examine the role played by our cosmic horizon R0 in
our interrogation of the data, and reach the rather firm conclusion that the
existence of a cosmological constant is untenable. The observations are telling
us that R0=c t0, where t0 is the perceived current age of the Universe, yet a
cosmological constant would drive R0 towards ct (where t is the cosmic time)
only once, and that would have to occur right now. In contrast, scaling
solutions simultaneously eliminate several conundrums in the standard model,
including the `coincidence' and `flatness' problems, and account very well for
the fact that R0=c t0. We show here that for such dynamical dark energy models,
either R0=ct for all time (thus eliminating the apparent coincidence
altogether), or that what we believe to be the current age of the universe is
actually the horizon time th=R0/c, which is always shorter than t0. Our best
fit to the Type Ia supernova data indicates that t0 would then have to be ~16.9
billion years. Though surprising at first, an older universe such as this would
actually eliminate several other long-standing problems in cosmology, including
the (too) early appearance of supermassive black holes (at a redshift > 6) and
the glaring deficit of dwarf halos in the local group.
| astro-ph gr-qc hep-ph hep-th | based on dramatic observations of the cmb with wmap and of type ia supernovae with the hubble space telescope and groundbased facilities it is now generally believed that the universes expansion is accelerating within the context of standard cosmology the universe must therefore contain a third dark component of energy beyond matter and radiation however the current data are still deemed insufficient to distinguish between an evolving dark energy component and the simplest model of a timeindependent cosmological constant in this paper we examine the role played by our cosmic horizon r0 in our interrogation of the data and reach the rather firm conclusion that the existence of a cosmological constant is untenable the observations are telling us that r0c t0 where t0 is the perceived current age of the universe yet a cosmological constant would drive r0 towards ct where t is the cosmic time only once and that would have to occur right now in contrast scaling solutions simultaneously eliminate several conundrums in the standard model including the coincidence and flatness problems and account very well for the fact that r0c t0 we show here that for such dynamical dark energy models either r0ct for all time thus eliminating the apparent coincidence altogether or that what we believe to be the current age of the universe is actually the horizon time thr0c which is always shorter than t0 our best fit to the type ia supernova data indicates that t0 would then have to be 169 billion years though surprising at first an older universe such as this would actually eliminate several other longstanding problems in cosmology including the too early appearance of supermassive black holes at a redshift 6 and the glaring deficit of dwarf halos in the local group | [['based', 'on', 'dramatic', 'observations', 'of', 'the', 'cmb', 'with', 'wmap', 'and', 'of', 'type', 'ia', 'supernovae', 'with', 'the', 'hubble', 'space', 'telescope', 'and', 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711.4811 | Gravitational Lensing Characteristics of the Transparent Sun | The transparent Sun is modeled as a spherically symmetric and centrally
condensed gravitational lens using recent Standard Solar Model (SSM) data. The
Sun's minimum focal length is computed to a refined accuracy of 23.5 +/- 0.1
AU, just beyond the orbit of Uranus. The Sun creates a single image of a
distant point source visible to observers inside this minimum focal length and
to observers sufficiently removed from the line connecting the source through
the Sun's center. Regions of space are mapped where three images of a distant
point source are created, along with their associated magnifications. Solar
caustics, critical curves, and Einstein rings are computed and discussed.
Extremely high gravitational lens magnifications exist for observers situated
so that an angularly small, unlensed source appears near a three-image caustic.
Types of radiations that might undergo significant solar lens magnifications as
they can traverse the core of the Sun, including neutrinos and gravitational
radiation, are discussed.
| astro-ph | the transparent sun is modeled as a spherically symmetric and centrally condensed gravitational lens using recent standard solar model ssm data the suns minimum focal length is computed to a refined accuracy of 235 01 au just beyond the orbit of uranus the sun creates a single image of a distant point source visible to observers inside this minimum focal length and to observers sufficiently removed from the line connecting the source through the suns center regions of space are mapped where three images of a distant point source are created along with their associated magnifications solar caustics critical curves and einstein rings are computed and discussed extremely high gravitational lens magnifications exist for observers situated so that an angularly small unlensed source appears near a threeimage caustic types of radiations that might undergo significant solar lens magnifications as they can traverse the core of the sun including neutrinos and gravitational radiation are discussed | [['the', 'transparent', 'sun', 'is', 'modeled', 'as', 'a', 'spherically', 'symmetric', 'and', 'centrally', 'condensed', 'gravitational', 'lens', 'using', 'recent', 'standard', 'solar', 'model', 'ssm', 'data', 'the', 'suns', 'minimum', 'focal', 'length', 'is', 'computed', 'to', 'a', 'refined', 'accuracy', 'of', '235', '01', 'au', 'just', 'beyond', 'the', 'orbit', 'of', 'uranus', 'the', 'sun', 'creates', 'a', 'single', 'image', 'of', 'a', 'distant', 'point', 'source', 'visible', 'to', 'observers', 'inside', 'this', 'minimum', 'focal', 'length', 'and', 'to', 'observers', 'sufficiently', 'removed', 'from', 'the', 'line', 'connecting', 'the', 'source', 'through', 'the', 'suns', 'center', 'regions', 'of', 'space', 'are', 'mapped', 'where', 'three', 'images', 'of', 'a', 'distant', 'point', 'source', 'are', 'created', 'along', 'with', 'their', 'associated', 'magnifications', 'solar', 'caustics', 'critical', 'curves', 'and', 'einstein', 'rings', 'are', 'computed', 'and', 'discussed', 'extremely', 'high', 'gravitational', 'lens', 'magnifications', 'exist', 'for', 'observers', 'situated', 'so', 'that', 'an', 'angularly', 'small', 'unlensed', 'source', 'appears', 'near', 'a', 'threeimage', 'caustic', 'types', 'of', 'radiations', 'that', 'might', 'undergo', 'significant', 'solar', 'lens', 'magnifications', 'as', 'they', 'can', 'traverse', 'the', 'core', 'of', 'the', 'sun', 'including', 'neutrinos', 'and', 'gravitational', 'radiation', 'are', 'discussed']] | [-0.14402169058728334, 0.14777807371667057, -0.046831478417587204, 0.1273090004926251, -0.06787544003591038, -0.12035880415010955, -0.008308516237763809, 0.4057259937935787, -0.21661754332289293, -0.32480049609847655, 0.07517616069790992, -0.30096643229994874, -0.0644148410624498, 0.21842512318882606, -0.06729441793641536, -0.01081745798227849, 0.09083026266496556, 0.030929530505090952, -0.08461631626244513, -0.18468481437197293, 0.2776089605705982, 0.1114620878784494, 0.15284373372333585, -0.01973103216921838, 0.10438350831421528, -0.02191667597317182, -0.038882726371022205, 0.04183436994869474, -0.0722678591208661, 0.07494973670086497, 0.22680180178586296, 0.13680115930264355, 0.16317791906608778, -0.3952611156598689, -0.2324978635471024, 0.08610595718714825, 0.16963554927383778, 0.07291301286041543, -0.07279435547625089, -0.3255080399534351, 0.07697281486342673, -0.10713929051757101, -0.20401987581598488, 0.1117776201454153, 0.053490363627629864, 0.019948132215188694, -0.19246101421122622, 0.052160174029504326, -0.0004173021751468058, 0.07455994247749158, -0.07622633317134694, -0.05535034174341467, -0.07780972635373473, 0.1477482610324688, 0.013015493536805514, 0.08813242356870445, 0.2074190244508012, -0.10800952700650102, -0.03596778075337748, 0.44667255661946226, -0.05067259595009752, -0.1042552961583866, 0.18268248285983338, -0.19861122343217494, -0.06711178637327408, 0.20383298194168933, 0.16050232205802253, 0.13036494637845544, -0.1335740714797345, 0.02686043238825189, -0.02154190716781206, 0.1628826330623789, 0.1664387743932183, 0.03334500981712496, 0.40035695685436584, 0.07167410932771572, 0.05660171867590156, 0.10172430446519601, -0.23323608545570687, -0.06418183503986953, -0.2995044932815597, -0.07319216434373263, -0.15548042512450416, 0.038696565842195475, -0.13223491290041062, -0.1723863604303159, 0.32399513272193636, 0.11059274894560313, 0.19890255828134037, -0.005467908726320995, 0.28592394810024796, 0.052287252466405996, 0.09582224456659917, 0.09149965708591527, 0.33314234043120755, 0.11811621807509573, 0.08383403066016565, -0.1560566507006977, -0.026323609450959008, 0.04303082319236566] |
711.4812 | High-frequency flow reversal of AC electro-osmosis due to steric effects | The current theory of alternating-current electro-osmosis (ACEO) is unable to
explain the experimentally observed flow reversal of planar ACEO pumps at high
frequency (above the peak, typically 10-100 kHz), low salt concentration
(1-1000 $\mu$M), and moderate voltage (2-6 V), even if taking into account
Faradaic surface reactions, nonlinear double-layer capacitance and bulk
electrothermal flows. We attribute this failure to the breakdown of the
classical Poisson-Boltzmann model of the diffuse double layer, which assumes a
dilute solution of point-like ions. In spite of low bulk salt concentration,
the large voltage induced across the double layer leads to crowding of the ions
and a related decrease in surface capacitance. Using several mean-field models
for finite-sized ions, we show that steric effects generally lead to high
frequency flow reversal of ACEO pumps, similar to experiments. For quantitative
agreement, however, an unrealistically large effective ion size (several nm)
must be used, which we attribute to neglected correlation effects.
| cond-mat.other | the current theory of alternatingcurrent electroosmosis aceo is unable to explain the experimentally observed flow reversal of planar aceo pumps at high frequency above the peak typically 10100 khz low salt concentration 11000 mum and moderate voltage 26 v even if taking into account faradaic surface reactions nonlinear doublelayer capacitance and bulk electrothermal flows we attribute this failure to the breakdown of the classical poissonboltzmann model of the diffuse double layer which assumes a dilute solution of pointlike ions in spite of low bulk salt concentration the large voltage induced across the double layer leads to crowding of the ions and a related decrease in surface capacitance using several meanfield models for finitesized ions we show that steric effects generally lead to high frequency flow reversal of aceo pumps similar to experiments for quantitative agreement however an unrealistically large effective ion size several nm must be used which we attribute to neglected correlation effects | [['the', 'current', 'theory', 'of', 'alternatingcurrent', 'electroosmosis', 'aceo', 'is', 'unable', 'to', 'explain', 'the', 'experimentally', 'observed', 'flow', 'reversal', 'of', 'planar', 'aceo', 'pumps', 'at', 'high', 'frequency', 'above', 'the', 'peak', 'typically', '10100', 'khz', 'low', 'salt', 'concentration', '11000', 'mum', 'and', 'moderate', 'voltage', '26', 'v', 'even', 'if', 'taking', 'into', 'account', 'faradaic', 'surface', 'reactions', 'nonlinear', 'doublelayer', 'capacitance', 'and', 'bulk', 'electrothermal', 'flows', 'we', 'attribute', 'this', 'failure', 'to', 'the', 'breakdown', 'of', 'the', 'classical', 'poissonboltzmann', 'model', 'of', 'the', 'diffuse', 'double', 'layer', 'which', 'assumes', 'a', 'dilute', 'solution', 'of', 'pointlike', 'ions', 'in', 'spite', 'of', 'low', 'bulk', 'salt', 'concentration', 'the', 'large', 'voltage', 'induced', 'across', 'the', 'double', 'layer', 'leads', 'to', 'crowding', 'of', 'the', 'ions', 'and', 'a', 'related', 'decrease', 'in', 'surface', 'capacitance', 'using', 'several', 'meanfield', 'models', 'for', 'finitesized', 'ions', 'we', 'show', 'that', 'steric', 'effects', 'generally', 'lead', 'to', 'high', 'frequency', 'flow', 'reversal', 'of', 'aceo', 'pumps', 'similar', 'to', 'experiments', 'for', 'quantitative', 'agreement', 'however', 'an', 'unrealistically', 'large', 'effective', 'ion', 'size', 'several', 'nm', 'must', 'be', 'used', 'which', 'we', 'attribute', 'to', 'neglected', 'correlation', 'effects']] | [-0.1139563113517527, 0.18484402125954172, 0.0035094003852263285, 0.052429515603845095, 0.0015509188320342597, -0.18621803169416917, 0.0667807581901018, 0.3649904750916478, -0.2819179035420832, -0.33758033321816594, 0.012269811386502554, -0.2757169542828115, -0.069836008631588, 0.18343800300726207, -0.05158150821089648, 0.025658880278782603, -0.00020031984169761855, -0.06123323287276624, -0.028004419058561325, -0.14355466022555316, 0.18974506904752078, 0.06582477598983262, 0.3326142567856987, 0.15934143425872574, 0.09832950532224706, -0.05628564264685786, 0.07838979397458931, 0.09821839244770152, -0.13512368978466271, 0.0457813606518865, 0.2577725589851436, -0.09705860142946823, 0.2119833875187467, -0.5261865305024889, -0.24621561281579582, 0.046897518472721826, 0.1280792450344087, 0.14793968471160232, -0.08230191655532614, -0.19897529874873868, 0.07663954713369732, -0.1670241099850323, -0.10776653785754431, -0.031068361093677194, 0.025980139991068945, 0.04891054528499288, -0.271718363815846, 0.15056341266098536, 0.04634754475532704, 0.07430605663367632, -0.10227966825961583, -0.12318801948824873, -0.05579824460815493, 0.08294448650528241, 0.05287652552602571, 0.014159465263077578, 0.24537989380618244, -0.1252054299164394, -0.03047918767158801, 0.3413729386452537, -0.1076511189692303, -0.1301777858662044, 0.20582797519511895, -0.1971005606555755, -0.04978877968191133, 0.23007464864103777, 0.15579456370626274, 0.08448850414292379, -0.1463724255800707, 0.007288611382125066, 0.007686488159520962, 0.21935837175187298, 0.10674679308809194, -0.0028910423790474344, 0.22517208615922696, 0.1721265832560935, 0.03259240546832224, 0.11454808550318718, -0.17019399912731553, -0.061653870956173966, -0.24761719055045847, -0.10659426955699727, -0.1264983298085583, 0.05338603248154478, -0.09233696563685291, -0.1737890896589991, 0.34279236448978795, 0.1532845071999979, 0.1745296289007385, -0.020398610733584017, 0.267432250375799, 0.13020923803560436, 0.11139664420398412, 0.02856815798062976, 0.26062024912083304, 0.17069623601364348, 0.14870521043995757, -0.31253428871187006, 0.07744421324595906, -0.003119827816625694] |
711.4813 | Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains | An interesting type of spin chain has appeared in the context of the planar
AdS/CFT correspondence: It is based on an integrable nearest-neighbor spin
chain, and it is perturbatively deformed by long-range interactions which
apparently preserve the integrable structure. Similar models can be constructed
by demanding the existence of merely one conserved local charge. Although the
latter is not a sufficient integrability condition in general, the models often
display convincing signs of full integrability.
Here we consider a class of long-range spin chains with spins transforming in
the fundamental representation of gl(N). For the most general such model with
one conserved local charge we construct a conserved Yangian generator and show
that it obeys the Serre relations. We thus provide a formal proof of
integrability for this class of models.
| hep-th | an interesting type of spin chain has appeared in the context of the planar adscft correspondence it is based on an integrable nearestneighbor spin chain and it is perturbatively deformed by longrange interactions which apparently preserve the integrable structure similar models can be constructed by demanding the existence of merely one conserved local charge although the latter is not a sufficient integrability condition in general the models often display convincing signs of full integrability here we consider a class of longrange spin chains with spins transforming in the fundamental representation of gln for the most general such model with one conserved local charge we construct a conserved yangian generator and show that it obeys the serre relations we thus provide a formal proof of integrability for this class of models | [['an', 'interesting', 'type', 'of', 'spin', 'chain', 'has', 'appeared', 'in', 'the', 'context', 'of', 'the', 'planar', 'adscft', 'correspondence', 'it', 'is', 'based', 'on', 'an', 'integrable', 'nearestneighbor', 'spin', 'chain', 'and', 'it', 'is', 'perturbatively', 'deformed', 'by', 'longrange', 'interactions', 'which', 'apparently', 'preserve', 'the', 'integrable', 'structure', 'similar', 'models', 'can', 'be', 'constructed', 'by', 'demanding', 'the', 'existence', 'of', 'merely', 'one', 'conserved', 'local', 'charge', 'although', 'the', 'latter', 'is', 'not', 'a', 'sufficient', 'integrability', 'condition', 'in', 'general', 'the', 'models', 'often', 'display', 'convincing', 'signs', 'of', 'full', 'integrability', 'here', 'we', 'consider', 'a', 'class', 'of', 'longrange', 'spin', 'chains', 'with', 'spins', 'transforming', 'in', 'the', 'fundamental', 'representation', 'of', 'gln', 'for', 'the', 'most', 'general', 'such', 'model', 'with', 'one', 'conserved', 'local', 'charge', 'we', 'construct', 'a', 'conserved', 'yangian', 'generator', 'and', 'show', 'that', 'it', 'obeys', 'the', 'serre', 'relations', 'we', 'thus', 'provide', 'a', 'formal', 'proof', 'of', 'integrability', 'for', 'this', 'class', 'of', 'models']] | [-0.1476802249904722, 0.12770743766786136, -0.05255708231886204, 0.12623349470265496, -0.08551711392087433, -0.17857603198633745, -0.05952778291136313, 0.33910438371105833, -0.262017954221049, -0.2286682427771246, 0.0875889388208564, -0.24572401953717837, -0.15301493886285103, 0.13903381725271735, -0.011253500877669118, -0.002370116129839936, 0.03584882548222175, 0.07642874939998505, -0.11179165690958213, -0.21714829359060298, 0.3265310749303003, 0.0030503718110804373, 0.27923772680358244, 0.04129098091775981, 0.13502938043182858, 0.04421498128212988, 0.03891234207862558, -0.015941449175946986, -0.12556599657831471, 0.11361616168780109, 0.21944596619508117, 0.04165403666332937, 0.16896905698276196, -0.44560603354699335, -0.18687609897281687, 0.1304787584884952, 0.13622719788064178, 0.16833556927292823, -0.033774070277845916, -0.2742943768604444, 0.05359536013745058, -0.19704173739569691, -0.18725666919938075, -0.11613876457827596, 0.04508504522068856, 0.00788174401789617, -0.25104199469205923, 0.1261144743587535, 0.16205879750733193, 0.07587391868627702, -0.05874943174600888, -0.02436082324084754, -0.06754508060313617, 0.0854167228958641, 0.042722661323988664, 0.027101663725737194, 0.06596960755638205, -0.13830352962697642, -0.12034144145615686, 0.33562084194272757, -0.012259315319645863, -0.2613133502891287, 0.19435955434858512, -0.12225552793019093, -0.21463750327865666, 0.07982123506685289, 0.05638350170786278, 0.12167435474693775, -0.18401346224619863, 0.13953019867275054, -0.08842904983231654, 0.1373285126299239, 0.027485915208951786, 0.059330935433256224, 0.2554022527801303, 0.13653210666782867, 0.07152077888066952, 0.13726939677816027, 0.005303410852390628, -0.14799958747417594, -0.3348116499085266, -0.16007500058756424, -0.1928119248065811, 0.11362487793588885, -0.08151095846573858, -0.17589319887785956, 0.4131576890125871, 0.15352438349913988, 0.15817658445045638, 0.05343513746763794, 0.18687434011640458, 0.1662062654822456, 0.11519380395408146, 0.03866756555910867, 0.20998390276005152, 0.17282921890728176, 0.05175115680680252, -0.19157196860447023, 0.026686288873091914, 0.13636141328248552] |
711.4814 | Solar cycle dependence of spatial correlation in the solar wind | We investigate the spatial correlation properties of the solar wind using
simultaneous observations by the ACE and WIND spacecraft. We use mutual
information as a nonlinear measure of correlation and compare this to linear
correlation. We find that the correlation lengthscales of fluctuations in
density and magnetic field magnitude vary strongly with the solar cycle,
whereas correlation lengths of fluctuations in B field components do not. We
find the correlation length of |B| ~ 120 Re at solar minimum and ~ 270 Re at
maximum and the correlation length of density ~ 75 Re at minimum and ~ 170 Re
at minimum. The components of the B field have correlation lengths ~
correlation length |B| at minimum.
| physics.space-ph astro-ph.SR physics.geo-ph physics.plasm-ph | we investigate the spatial correlation properties of the solar wind using simultaneous observations by the ace and wind spacecraft we use mutual information as a nonlinear measure of correlation and compare this to linear correlation we find that the correlation lengthscales of fluctuations in density and magnetic field magnitude vary strongly with the solar cycle whereas correlation lengths of fluctuations in b field components do not we find the correlation length of b 120 re at solar minimum and 270 re at maximum and the correlation length of density 75 re at minimum and 170 re at minimum the components of the b field have correlation lengths correlation length b at minimum | [['we', 'investigate', 'the', 'spatial', 'correlation', 'properties', 'of', 'the', 'solar', 'wind', 'using', 'simultaneous', 'observations', 'by', 'the', 'ace', 'and', 'wind', 'spacecraft', 'we', 'use', 'mutual', 'information', 'as', 'a', 'nonlinear', 'measure', 'of', 'correlation', 'and', 'compare', 'this', 'to', 'linear', 'correlation', 'we', 'find', 'that', 'the', 'correlation', 'lengthscales', 'of', 'fluctuations', 'in', 'density', 'and', 'magnetic', 'field', 'magnitude', 'vary', 'strongly', 'with', 'the', 'solar', 'cycle', 'whereas', 'correlation', 'lengths', 'of', 'fluctuations', 'in', 'b', 'field', 'components', 'do', 'not', 'we', 'find', 'the', 'correlation', 'length', 'of', 'b', '120', 're', 'at', 'solar', 'minimum', 'and', '270', 're', 'at', 'maximum', 'and', 'the', 'correlation', 'length', 'of', 'density', '75', 're', 'at', 'minimum', 'and', '170', 're', 'at', 'minimum', 'the', 'components', 'of', 'the', 'b', 'field', 'have', 'correlation', 'lengths', 'correlation', 'length', 'b', 'at', 'minimum']] | [-0.18386317943389127, 0.20378016442659178, -0.015642452340606332, 0.09005684749925942, 0.026015646730749204, -0.07084798567146729, 0.02796858038553702, 0.3617406338370139, -0.2732936192811134, -0.3694343634082803, 0.056730623438072926, -0.3443217152629846, -0.06819881216090705, 0.13349939194345747, 0.0750476715475088, 0.015749303194232716, 0.0008369582044126998, 0.03893780461346198, -0.12128527010957312, -0.1626472965830804, 0.25363689777441323, 0.11048678697053609, 0.24268472518971457, 0.056949570833239704, 0.08931360567138265, 0.03639839424431557, -0.025546455922137414, 0.0808481697791389, -0.1663971027574657, 0.05265612760766609, 0.15756051070015278, 0.11641813708515006, 0.24208777673941637, -0.38370038013506147, -0.19925438774017884, 0.025310695395871465, 0.1268923478897445, -0.018711677041470205, 0.04567461140686646, -0.13560091271730407, 0.08571502944687381, -0.11970294198337277, -0.0873262997359104, 0.03029392978143213, 0.12489038706553401, 0.07424203195841983, -0.3236367792082352, 0.14223754003510944, -0.0043251576179110475, 0.1821954010187515, -0.038910239502521496, -0.12380485368859288, -0.043968265406355, 0.12170435880294203, 0.06728283525444567, 0.0681906474502674, 0.1461056731017639, -0.10529154013368368, -0.031228550143818472, 0.3002129238198644, -0.11389279521660813, -0.07521776675379702, 0.18878808626738777, -0.24442085010481865, -0.08810141280784071, 0.14828020693052427, 0.19730776240716555, 0.06379975105768868, -0.12331690291674542, 0.020326262925144483, -0.0150660667651599, 0.22731235185970686, 0.07748696667840704, 0.08797250744620604, 0.2568430825070079, 0.07529357543431356, 0.07319613901082837, 0.08400485325338584, -0.22624034207547083, -0.029382882889227142, -0.24534763491828926, -0.12764124686197778, -0.17050754344797628, 0.019542410323343314, -0.14663401619353472, -0.13128659860896214, 0.42764394169872894, 0.20791975225022594, 0.21289315051814942, 0.07913155089564887, 0.23379089598477418, 0.10856468987081566, 0.09933948763396724, 0.13227697480553097, 0.2990198096459998, 0.17319217905398027, 0.10363271825813822, -0.2976074744448332, 0.05229871219905492, 0.01682181250154307] |
711.4815 | Aspherical Properties of Hydrodynamics and Nucleosynthesis in
Jet-induced Supernovae | Jet-induced supernovae (SNe) have been suggested to occur in gamma-ray bursts
(GRBs) and highly-energetic SNe (hypernovae). I investigate hydrodynamical and
nucleosynthetic properties of the jet-induced explosion of a population III
$40_\odot$ star with a two-dimensional special relativistic hydrodynamical
code. The abundance distribution after the explosion and the angular dependence
of the yield are obtained for the models with high and low energy deposition
rates $\dot{E}_{\rm dep}=120\times10^{51} {\rm ergs s^{-1}}$ and
$1.5\times10^{51} {\rm ergs s^{-1}}$. The ejection of Fe-peak products and the
fallback of unprocessed materials in the jet-induced SNe account for the
abundance patterns of the extremely metal-poor (EMP) stars. It is also found
that the peculiar abundance pattern of a Si-deficient metal-poor star HE
1424--0241 is reproduced by the angle-delimited yield for
$\theta=30^\circ-35^\circ$ of the model with $\dot{E}_{\rm
dep}=120\times10^{51} {\rm ergs s^{-1}}$. Furthermore, I compare the yield of
the jet-induced explosion with that of the spherical explosion and confirm the
ejection and fallback in the jet-induced explosion is almost equivalent to the
"mixing-fallback" in spherical explosions. In contrast to the spherical models,
however, the high-entropy environment is realized in the jet-induced explosion
and thus [(Sc, Ti, V, Cr, Co, Zn)/Fe] are enhanced. The enhancements of [Sc/Fe]
and [Ti/Fe] improve agreements with the abundance patterns of the EMP stars.
| astro-ph | jetinduced supernovae sne have been suggested to occur in gammaray bursts grbs and highlyenergetic sne hypernovae i investigate hydrodynamical and nucleosynthetic properties of the jetinduced explosion of a population iii 40_odot star with a twodimensional special relativistic hydrodynamical code the abundance distribution after the explosion and the angular dependence of the yield are obtained for the models with high and low energy deposition rates dote_rm dep120times1051 rm ergs s1 and 15times1051 rm ergs s1 the ejection of fepeak products and the fallback of unprocessed materials in the jetinduced sne account for the abundance patterns of the extremely metalpoor emp stars it is also found that the peculiar abundance pattern of a sideficient metalpoor star he 14240241 is reproduced by the angledelimited yield for theta30circ35circ of the model with dote_rm dep120times1051 rm ergs s1 furthermore i compare the yield of the jetinduced explosion with that of the spherical explosion and confirm the ejection and fallback in the jetinduced explosion is almost equivalent to the mixingfallback in spherical explosions in contrast to the spherical models however the highentropy environment is realized in the jetinduced explosion and thus sc ti v cr co znfe are enhanced the enhancements of scfe and tife improve agreements with the abundance patterns of the emp stars | [['jetinduced', 'supernovae', 'sne', 'have', 'been', 'suggested', 'to', 'occur', 'in', 'gammaray', 'bursts', 'grbs', 'and', 'highlyenergetic', 'sne', 'hypernovae', 'i', 'investigate', 'hydrodynamical', 'and', 'nucleosynthetic', 'properties', 'of', 'the', 'jetinduced', 'explosion', 'of', 'a', 'population', 'iii', '40_odot', 'star', 'with', 'a', 'twodimensional', 'special', 'relativistic', 'hydrodynamical', 'code', 'the', 'abundance', 'distribution', 'after', 'the', 'explosion', 'and', 'the', 'angular', 'dependence', 'of', 'the', 'yield', 'are', 'obtained', 'for', 'the', 'models', 'with', 'high', 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711.4816 | Quantum size effects in solitary wires of bismuth | We have performed four-probe electrical transport measurements on solitary
highly crystalline wires of semimetallic bismuth with aspect ratios up to 60 at
room and at cryogenic temperatures. By proper choice of the substrate material
and the film deposition parameters, lithographic wires with lateral dimensions
of down to one single grain, $\sim 250$ nm, were fabricated. The electrical
resistance of each wire was measured against its thickness through successive
reactive ion etching of the self-same wire. Quantum size effects revealed
themselves as regular oscillations in the electrical resistance. Some evidence
for the semimetal-to-semiconductor phase transition has been detected. The
measured data are discussed within the framework of the existing theoretical
models.
| cond-mat.mes-hall | we have performed fourprobe electrical transport measurements on solitary highly crystalline wires of semimetallic bismuth with aspect ratios up to 60 at room and at cryogenic temperatures by proper choice of the substrate material and the film deposition parameters lithographic wires with lateral dimensions of down to one single grain sim 250 nm were fabricated the electrical resistance of each wire was measured against its thickness through successive reactive ion etching of the selfsame wire quantum size effects revealed themselves as regular oscillations in the electrical resistance some evidence for the semimetaltosemiconductor phase transition has been detected the measured data are discussed within the framework of the existing theoretical models | [['we', 'have', 'performed', 'fourprobe', 'electrical', 'transport', 'measurements', 'on', 'solitary', 'highly', 'crystalline', 'wires', 'of', 'semimetallic', 'bismuth', 'with', 'aspect', 'ratios', 'up', 'to', '60', 'at', 'room', 'and', 'at', 'cryogenic', 'temperatures', 'by', 'proper', 'choice', 'of', 'the', 'substrate', 'material', 'and', 'the', 'film', 'deposition', 'parameters', 'lithographic', 'wires', 'with', 'lateral', 'dimensions', 'of', 'down', 'to', 'one', 'single', 'grain', 'sim', '250', 'nm', 'were', 'fabricated', 'the', 'electrical', 'resistance', 'of', 'each', 'wire', 'was', 'measured', 'against', 'its', 'thickness', 'through', 'successive', 'reactive', 'ion', 'etching', 'of', 'the', 'selfsame', 'wire', 'quantum', 'size', 'effects', 'revealed', 'themselves', 'as', 'regular', 'oscillations', 'in', 'the', 'electrical', 'resistance', 'some', 'evidence', 'for', 'the', 'semimetaltosemiconductor', 'phase', 'transition', 'has', 'been', 'detected', 'the', 'measured', 'data', 'are', 'discussed', 'within', 'the', 'framework', 'of', 'the', 'existing', 'theoretical', 'models']] | [-0.11838180581107735, 0.21662591059099545, -0.018526591538366947, -0.10561741001226685, 0.014238991466250312, -0.22156144266694106, 0.08173496483359485, 0.4531654956665906, -0.23127058862539177, -0.3517935213548216, 0.0379736670747992, -0.3447874686934731, -0.016620074915276332, 0.20280288650061595, 0.03194087836468084, 0.11302970375347121, 0.005305410811508243, -0.07563345773325471, -0.0842921884264797, -0.197081516077742, 0.21809797426262362, 0.07945078807692467, 0.3522833687782457, 0.11098000842400572, 0.09260919730030846, -0.06089682767421684, 0.06722443041561002, 0.055011034037240523, -0.17237890362223632, -0.016125785282135686, 0.2525630740781212, -0.11794663067187437, 0.17751231415366583, -0.511307183246721, -0.22240192292427474, -0.030781124064444818, 0.1111765499480746, 0.10907991763934578, -0.06318510208088397, -0.2512665093897588, 0.0873265240743587, -0.09428012487055226, -0.10751201334748078, -0.020998033013364132, 0.0035555877426469867, -0.010141908123411916, -0.1753299364142797, 0.06205073413650759, 0.007950885107063434, 0.13830711339833215, -0.04496491008797999, -0.16426573360592805, -0.08373013329268857, 0.0659085685598918, 0.01482402996414087, 0.0006385841279883276, 0.2838781295217235, -0.05628673242066394, -0.09650292694965504, 0.3189656436781992, -0.04323198483431373, -0.07088530967012048, 0.16675318011336707, -0.18499581661202352, -0.02902996241199699, 0.1999674748057838, 0.10717814268322069, 0.08608000399227339, -0.17875062017701565, 0.010519118199590593, 0.04187744902076453, 0.1690434476462873, 0.15151551722929898, 0.04395174813795496, 0.23555996540341187, 0.2599794718585062, -0.03736001225823367, 0.1387227439195902, -0.18079030399253085, 0.017405559012497015, -0.21144427121828563, -0.16288262515074828, -0.15952425769699569, 0.06450420054818758, -0.11388341852606655, -0.18305197183508426, 0.388217090239579, 0.12333833703940565, 0.16035226870497518, -0.030817843684714966, 0.2788542071272704, 0.0635904516749592, 0.12696792313363403, -0.00651028301905502, 0.2712578195663148, 0.19615427002056757, 0.15042451057921757, -0.2579376922158355, 0.1360122076108713, -0.04596212393900549] |
711.4817 | Radiation from the non-extremal fuzzball | The fuzzball proposal says that the information of the black hole state is
distributed throughout the interior of the horizon in a `quantum fuzz'. There
are special microstates where in the dual CFT we have `many excitations in the
same state'; these are described by regular classical geometries without
horizons. Jejjala et.al constructed non-extremal regular geometries of this
type. Cardoso et. al then found that these geometries had a classical
instability. In this paper we show that the energy radiated through the
unstable modes is exactly the Hawking radiation for these microstates. We do
this by (i) starting with the semiclassical Hawking radiation rate (ii) using
it to find the emission vertex in the CFT (iii) replacing the Boltzman
distributions of the generic CFT state with the ones describing the microstate
of interest (iv) observing that the emission now reproduces the classical
instability. Because the CFT has `many excitations in the same state' we get
the physics of a Bose-Einstein condensate rather than a thermal gas, and the
usually slow Hawking emission increases, by Bose enhancement, to a classically
radiated field. This system therefore provides a complete gravity description
of information-carrying radiation from a special microstate of the nonextremal
hole.
| hep-th | the fuzzball proposal says that the information of the black hole state is distributed throughout the interior of the horizon in a quantum fuzz there are special microstates where in the dual cft we have many excitations in the same state these are described by regular classical geometries without horizons jejjala etal constructed nonextremal regular geometries of this type cardoso et al then found that these geometries had a classical instability in this paper we show that the energy radiated through the unstable modes is exactly the hawking radiation for these microstates we do this by i starting with the semiclassical hawking radiation rate ii using it to find the emission vertex in the cft iii replacing the boltzman distributions of the generic cft state with the ones describing the microstate of interest iv observing that the emission now reproduces the classical instability because the cft has many excitations in the same state we get the physics of a boseeinstein condensate rather than a thermal gas and the usually slow hawking emission increases by bose enhancement to a classically radiated field this system therefore provides a complete gravity description of informationcarrying radiation from a special microstate of the nonextremal hole | [['the', 'fuzzball', 'proposal', 'says', 'that', 'the', 'information', 'of', 'the', 'black', 'hole', 'state', 'is', 'distributed', 'throughout', 'the', 'interior', 'of', 'the', 'horizon', 'in', 'a', 'quantum', 'fuzz', 'there', 'are', 'special', 'microstates', 'where', 'in', 'the', 'dual', 'cft', 'we', 'have', 'many', 'excitations', 'in', 'the', 'same', 'state', 'these', 'are', 'described', 'by', 'regular', 'classical', 'geometries', 'without', 'horizons', 'jejjala', 'etal', 'constructed', 'nonextremal', 'regular', 'geometries', 'of', 'this', 'type', 'cardoso', 'et', 'al', 'then', 'found', 'that', 'these', 'geometries', 'had', 'a', 'classical', 'instability', 'in', 'this', 'paper', 'we', 'show', 'that', 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711.4818 | Gauge Symmetry, T-Duality and Doubled Geometry | String compactifications with T-duality twists are revisited and the gauge
algebra of the dimensionally reduced theories calculated. These reductions can
be viewed as string theory on T-fold backgrounds, and can be formulated in a
`doubled space' in which each circle is supplemented by a T-dual circle to
construct a geometry which is a doubled torus bundle over a circle. We discuss
a conjectured extension to include T-duality on the base circle, and propose
the introduction of a dual base coordinate, to give a doubled space which is
locally the group manifold of the gauge group. Special cases include those in
which the doubled group is a Drinfel'd double. This gives a framework to
discuss backgrounds that are not even locally geometric.
| hep-th | string compactifications with tduality twists are revisited and the gauge algebra of the dimensionally reduced theories calculated these reductions can be viewed as string theory on tfold backgrounds and can be formulated in a doubled space in which each circle is supplemented by a tdual circle to construct a geometry which is a doubled torus bundle over a circle we discuss a conjectured extension to include tduality on the base circle and propose the introduction of a dual base coordinate to give a doubled space which is locally the group manifold of the gauge group special cases include those in which the doubled group is a drinfeld double this gives a framework to discuss backgrounds that are not even locally geometric | [['string', 'compactifications', 'with', 'tduality', 'twists', 'are', 'revisited', 'and', 'the', 'gauge', 'algebra', 'of', 'the', 'dimensionally', 'reduced', 'theories', 'calculated', 'these', 'reductions', 'can', 'be', 'viewed', 'as', 'string', 'theory', 'on', 'tfold', 'backgrounds', 'and', 'can', 'be', 'formulated', 'in', 'a', 'doubled', 'space', 'in', 'which', 'each', 'circle', 'is', 'supplemented', 'by', 'a', 'tdual', 'circle', 'to', 'construct', 'a', 'geometry', 'which', 'is', 'a', 'doubled', 'torus', 'bundle', 'over', 'a', 'circle', 'we', 'discuss', 'a', 'conjectured', 'extension', 'to', 'include', 'tduality', 'on', 'the', 'base', 'circle', 'and', 'propose', 'the', 'introduction', 'of', 'a', 'dual', 'base', 'coordinate', 'to', 'give', 'a', 'doubled', 'space', 'which', 'is', 'locally', 'the', 'group', 'manifold', 'of', 'the', 'gauge', 'group', 'special', 'cases', 'include', 'those', 'in', 'which', 'the', 'doubled', 'group', 'is', 'a', 'drinfeld', 'double', 'this', 'gives', 'a', 'framework', 'to', 'discuss', 'backgrounds', 'that', 'are', 'not', 'even', 'locally', 'geometric']] | [-0.19240936205514575, 0.11869099882454419, -0.08921552870484177, 0.11613814661968191, -0.14440186961346174, -0.15777898362783854, 0.020542395280958886, 0.3380436622576157, -0.2266483366189232, -0.23994311693409257, 0.14955262486988385, -0.19326768561327937, -0.1700141876743537, 0.16819005794361358, -0.17590125730022604, -0.07600063140973572, -0.001851276348321891, 0.11466276098412177, -0.14468420269968343, -0.29564106200479184, 0.3369208202420249, 0.03500634230180713, 0.26764847551018367, -0.026882621874332366, 0.11380032391849258, 0.01917845452943247, -0.037135975023593046, 0.05530373510301307, -0.07531998604219763, 0.13106326448677247, 0.25728576213567833, 0.05746159511271957, 0.11546619850680355, -0.4137156227264892, -0.2538803647395439, 0.08879790616737417, 0.16071040546983356, 0.10002566309076202, 0.0005134257183925918, -0.28069865462670396, 0.04826677801887974, -0.18832926460049185, -0.14723822025559102, -0.08821951667585771, 0.006031915791763747, -0.05462678477999346, -0.2259896789361869, -0.053694632502796116, 0.023544854930917587, 0.04154435357787023, -0.035055671463776306, -0.031531204392533166, -0.07706035827171089, 0.06447249652109732, 0.07192501062065486, 0.15038415779983086, 0.15060239813717713, -0.08165499085968375, -0.16219666280037115, 0.41967519385016655, -0.05972748151249137, -0.3050594393256282, 0.09357273415469926, -0.1310630959674162, -0.1789807733590907, 0.12938408076874758, 0.09478049837283728, 0.14023691257231, -0.08386754577071213, 0.20206826562610308, -0.10974044398566292, 0.08711061700755222, 0.07280426427783553, -0.0023157221326712244, 0.2337821290543503, 0.08289158450485754, 0.09182763940458424, 0.15867826367789986, -0.016751700773650458, -0.09957812311443354, -0.4084606580744105, -0.1551028770232989, -0.06712159276208725, 0.14043908314175677, -0.08809202057773667, -0.180989680734794, 0.3807038309298887, 0.02687880600810297, 0.20804928164844486, 0.06622673871648914, 0.15711396778664313, 0.09867344687265645, 0.12060927894988198, 0.04957963565599235, 0.1686251562796841, 0.18672217687491852, -0.01610061723819726, -0.16557696240007386, -0.16204193187877536, 0.225792856817711] |
711.4819 | A study of polarization buildup by spin filtering | Many sets of polarization evolution equations have been suggested to describe
the method of polarization buildup by spin filtering in storage rings. In this
paper a generic system of polarization evolution equations describing spin
filtering is derived and solved, then we compare and contrast this system to
other descriptions of spin filtering appearing in the literature. This is of
interest to projects planning to produce a polarized antiproton beam by spin
filtering, and to any project utilizing spin filtering in storage rings. The
physical processes responsible for spin filtering are analysed and their
contributions to the dynamics of polarization buildup are highlighted. It is
hoped that this will shed light on some of the confusion in the literature.
| hep-ph | many sets of polarization evolution equations have been suggested to describe the method of polarization buildup by spin filtering in storage rings in this paper a generic system of polarization evolution equations describing spin filtering is derived and solved then we compare and contrast this system to other descriptions of spin filtering appearing in the literature this is of interest to projects planning to produce a polarized antiproton beam by spin filtering and to any project utilizing spin filtering in storage rings the physical processes responsible for spin filtering are analysed and their contributions to the dynamics of polarization buildup are highlighted it is hoped that this will shed light on some of the confusion in the literature | [['many', 'sets', 'of', 'polarization', 'evolution', 'equations', 'have', 'been', 'suggested', 'to', 'describe', 'the', 'method', 'of', 'polarization', 'buildup', 'by', 'spin', 'filtering', 'in', 'storage', 'rings', 'in', 'this', 'paper', 'a', 'generic', 'system', 'of', 'polarization', 'evolution', 'equations', 'describing', 'spin', 'filtering', 'is', 'derived', 'and', 'solved', 'then', 'we', 'compare', 'and', 'contrast', 'this', 'system', 'to', 'other', 'descriptions', 'of', 'spin', 'filtering', 'appearing', 'in', 'the', 'literature', 'this', 'is', 'of', 'interest', 'to', 'projects', 'planning', 'to', 'produce', 'a', 'polarized', 'antiproton', 'beam', 'by', 'spin', 'filtering', 'and', 'to', 'any', 'project', 'utilizing', 'spin', 'filtering', 'in', 'storage', 'rings', 'the', 'physical', 'processes', 'responsible', 'for', 'spin', 'filtering', 'are', 'analysed', 'and', 'their', 'contributions', 'to', 'the', 'dynamics', 'of', 'polarization', 'buildup', 'are', 'highlighted', 'it', 'is', 'hoped', 'that', 'this', 'will', 'shed', 'light', 'on', 'some', 'of', 'the', 'confusion', 'in', 'the', 'literature']] | [-0.13064283003904303, 0.10924673109646824, -0.10861492911511558, 0.06338209530508335, -0.05363917346822761, -0.08381754839477146, -0.06194548592093732, 0.4107420857979963, -0.29040432033934077, -0.3009808342785464, 0.10482639666958475, -0.2766384624765586, -0.1095287640883895, 0.20102144261601113, -0.02411723505484603, 0.04023370838534655, 0.015403798806986188, -0.04977551562774737, -0.06747111355021627, -0.25065098571891, 0.30509529406623126, 0.06514336049588303, 0.27123902919623305, 0.024355023288389004, 0.09784317595915774, 0.04521082017286602, -0.09247988087156693, -0.0014429172279976181, -0.08687209265763621, 0.13156940346836285, 0.2803937753946599, 0.11631271704218461, 0.19131312547034537, -0.4169453811058301, -0.21967842101545657, 0.07819713161216449, 0.14743422925515667, 0.18497007027647253, -0.0799882205852339, -0.24995017679944886, 0.03254458061971907, -0.1712264916464939, -0.14714460147907799, -0.0905971242414819, 0.051354393228825373, 0.0372196926727449, -0.22214680760151753, 0.035964350190439844, 0.08958280942663234, 0.025169238115422096, -0.05834381288840925, -0.12077923609788324, -0.027774043827144018, 0.08173148793274916, 0.0388045978507469, 0.010746503688821222, 0.13884992313460778, -0.13030837717765975, -0.1676916926191583, 0.3653417152463127, -0.03599928602797248, -0.1981898625874576, 0.14295238921501657, -0.1844134066861628, -0.1251695651395278, 0.1262977567217234, 0.1972778328078783, 0.10577653802292998, -0.2070728230321685, 0.04041996274845896, 0.00061645739025168, 0.13715231330607527, 0.07587788994542434, 0.07936335706657147, 0.25566726202003154, 0.18898990090494439, 0.05440499370876242, 0.12146611533855814, -0.08014316604891003, -0.10784575137925351, -0.24635137257687115, -0.1291968018148031, -0.14998583523043574, 0.060907507698067416, 0.016956349274920995, -0.09817658530516644, 0.4066151566014199, 0.2249464985867173, 0.15910310010125828, -0.04691653465654827, 0.3008229083350023, 0.11985125918714803, 0.07366833179770826, 0.04545171236445717, 0.23325824720308508, 0.1767919662495349, 0.1393516868198985, -0.28169111560505294, 0.06015802771879076, -0.007218985029070054] |
711.482 | Type-II Seesaw at Collider, Lepton Asymmetry and Singlet Scalar Dark
Matter | We propose an extension of the standard model with a B-L global symmetry that
is broken softly at the TeV scale. The neutrinos acquire masses through a
type-II seesaw while the lepton (L) asymmetry arises in the {\it singlet
sector} but without B-L violation. The model has the virtue that the scale of
L-number violation ($\Lambda$) giving rise to neutrino masses is independent of
the scale of leptogenesis ($\Lambda'$). As a result the model can explain {\it
neutrino masses, singlet scalar dark matter and leptogenesis at the TeV scale}.
The stability of the dark matter is ensured by a surviving $Z_2$ symmetry,
which could be lifted at the Planck scale and thereby allowing Planck
scale-suppressed decay of singlet scalar dark matter particles of mass $\approx
3$ MeV to $e^+ e^-$ pairs in the Galactic halo. The model also predicts a few
hundred GeV doubly charged scalar and a long lived charged fermion, whose decay
can be studied at Large Hadron Collider (LHC) and International Linear Collider
(ILC).
| hep-ph astro-ph | we propose an extension of the standard model with a bl global symmetry that is broken softly at the tev scale the neutrinos acquire masses through a typeii seesaw while the lepton l asymmetry arises in the it singlet sector but without bl violation the model has the virtue that the scale of lnumber violation lambda giving rise to neutrino masses is independent of the scale of leptogenesis lambda as a result the model can explain it neutrino masses singlet scalar dark matter and leptogenesis at the tev scale the stability of the dark matter is ensured by a surviving z_2 symmetry which could be lifted at the planck scale and thereby allowing planck scalesuppressed decay of singlet scalar dark matter particles of mass approx 3 mev to e e pairs in the galactic halo the model also predicts a few hundred gev doubly charged scalar and a long lived charged fermion whose decay can be studied at large hadron collider lhc and international linear collider ilc | [['we', 'propose', 'an', 'extension', 'of', 'the', 'standard', 'model', 'with', 'a', 'bl', 'global', 'symmetry', 'that', 'is', 'broken', 'softly', 'at', 'the', 'tev', 'scale', 'the', 'neutrinos', 'acquire', 'masses', 'through', 'a', 'typeii', 'seesaw', 'while', 'the', 'lepton', 'l', 'asymmetry', 'arises', 'in', 'the', 'it', 'singlet', 'sector', 'but', 'without', 'bl', 'violation', 'the', 'model', 'has', 'the', 'virtue', 'that', 'the', 'scale', 'of', 'lnumber', 'violation', 'lambda', 'giving', 'rise', 'to', 'neutrino', 'masses', 'is', 'independent', 'of', 'the', 'scale', 'of', 'leptogenesis', 'lambda', 'as', 'a', 'result', 'the', 'model', 'can', 'explain', 'it', 'neutrino', 'masses', 'singlet', 'scalar', 'dark', 'matter', 'and', 'leptogenesis', 'at', 'the', 'tev', 'scale', 'the', 'stability', 'of', 'the', 'dark', 'matter', 'is', 'ensured', 'by', 'a', 'surviving', 'z_2', 'symmetry', 'which', 'could', 'be', 'lifted', 'at', 'the', 'planck', 'scale', 'and', 'thereby', 'allowing', 'planck', 'scalesuppressed', 'decay', 'of', 'singlet', 'scalar', 'dark', 'matter', 'particles', 'of', 'mass', 'approx', '3', 'mev', 'to', 'e', 'e', 'pairs', 'in', 'the', 'galactic', 'halo', 'the', 'model', 'also', 'predicts', 'a', 'few', 'hundred', 'gev', 'doubly', 'charged', 'scalar', 'and', 'a', 'long', 'lived', 'charged', 'fermion', 'whose', 'decay', 'can', 'be', 'studied', 'at', 'large', 'hadron', 'collider', 'lhc', 'and', 'international', 'linear', 'collider', 'ilc']] | [-0.10877954704737493, 0.3200573965954259, -0.05014375678308488, 0.20258274123125922, -0.0996149103797156, -0.20731525726655656, -0.019429051684052963, 0.2773337865540062, -0.2400182010409568, -0.3670559803918789, 0.017992335748970956, -0.2777295047473387, 0.08238794388675905, 0.08533914276982198, 0.11243472697847265, 0.02682884767544961, -0.013075911433643561, 0.0019522218920110938, -0.024536366891452527, -0.23104134310143495, 0.26957674345551397, 0.11032146866663348, 0.183056920923921, 0.08712577981543335, 0.10818439387051523, -0.06529125743559618, 0.013545274330549929, -0.1041687302212848, -0.07500512408787252, 0.0347989181902383, 0.1500529838523951, 0.06531130060926466, 0.13270506396726986, -0.3450858515311392, -0.1580162910866924, 0.2308270527451041, 0.16793448728767324, 0.09483165631746783, -0.10452183490304882, -0.3425374117073973, 0.10191980837171066, -0.24453204565264947, -0.16717522150096314, -0.032065363320331254, -0.036300230597381494, -0.1509115965591592, -0.32483913874006776, 0.14402321654604047, -0.053329419389546634, -0.022639112317014532, -0.011767088148058448, -0.12232024963041879, -0.09088019916720419, -0.06774982856867094, 0.20145356833390576, -0.018522233295490045, 0.17433980206751365, -0.17807628706389342, -0.12681581397717595, 0.442683075004852, -0.10263435661242938, -0.11678929382890284, 0.13080339803899, -0.16925904461665145, -0.1377650584046538, 0.13427001620356713, 0.1590784799352468, 0.06161702729492302, -0.15116880582757744, 0.22837329149689437, -0.10773427031845897, 0.20892573693481062, 0.06756442913179656, 0.04932987942158368, 0.3568688699953168, 0.22152847539933668, 0.08985612762486, 0.00799423327574125, -0.09901297572440558, -0.04349271395714976, -0.43690957366040045, -0.08852896084924823, -0.1188093437196081, 0.07970838998346197, -0.07654542529289976, -0.05464385358437178, 0.42963638849534, 0.07489551787253425, 0.2651886885658928, 0.03994847842315436, 0.2508373069787308, 0.06106932078563911, 0.13832554698771662, 0.040809564601527584, 0.3248666158417262, 0.13312513103458964, 0.13864216651292013, -0.2604389098495335, -0.049375343739604914, 0.04042610326916518] |
711.4821 | Semicrossed products of simple C*-algebras | Let $(\A, \alpha)$ and $(\B, \beta)$ be C*-dynamical systems and assume that
$\A$ is a separable simple C*-algebra and that $\alpha$ and $\beta$ are
*-automorphisms. Then the semicrossed products $\A \times_{\alpha} \bbZ^{+}$
and $\B \times_{\beta} \bbZ^{+}$ are isometrically isomorphic if and only if
the dynamical systems $(\A, \alpha)$ and $(\B, \beta)$ are outer conjugate.
| math.OA math.FA | let a alpha and b beta be cdynamical systems and assume that a is a separable simple calgebra and that alpha and beta are automorphisms then the semicrossed products a times_alpha bbz and b times_beta bbz are isometrically isomorphic if and only if the dynamical systems a alpha and b beta are outer conjugate | [['let', 'a', 'alpha', 'and', 'b', 'beta', 'be', 'cdynamical', 'systems', 'and', 'assume', 'that', 'a', 'is', 'a', 'separable', 'simple', 'calgebra', 'and', 'that', 'alpha', 'and', 'beta', 'are', 'automorphisms', 'then', 'the', 'semicrossed', 'products', 'a', 'times_alpha', 'bbz', 'and', 'b', 'times_beta', 'bbz', 'are', 'isometrically', 'isomorphic', 'if', 'and', 'only', 'if', 'the', 'dynamical', 'systems', 'a', 'alpha', 'and', 'b', 'beta', 'are', 'outer', 'conjugate']] | [-0.14333775711970198, 0.2501372439717805, -0.05804549177453198, 0.006073656344260262, -0.061879508990656445, -0.27291092885597784, -0.009853181067026325, 0.38982686303831915, -0.36226428175965947, -0.10386514461909731, 0.13467632330678128, -0.31456891574931367, -0.13507004332495853, 0.1720830709156063, -0.06732831578011866, -0.05174176254809869, 0.09068147287945505, 0.15023600886127464, -0.07810268282924814, -0.1947602183661527, 0.3338317616359779, -0.05091885273793229, 0.04820055197234507, -0.005194190975830511, 0.01840236922726035, -0.04899586645748328, 0.017471599487449835, 0.009354337752382789, -0.19557892744288202, 0.0032587221271737857, 0.19149619794485193, 0.13165849296341617, 0.2279963609611581, -0.2367873004361711, -0.09844973801066065, 0.23690730188455847, 0.14579840448547016, -0.20206573736612443, -0.020043602333990513, -0.2676999795216101, 0.1320026657820024, -0.2540402020569201, -0.059456357146026914, -0.10599010836126076, 0.1517015244613436, 0.010955348231450276, -0.4198834037201272, 0.010870012627155692, 0.11733259093954176, 0.026634307233271776, -0.04453812660304485, -0.1261244992622071, -0.10892708093376348, 0.09177406052024001, -0.07421563110848958, 0.08945829422575319, 0.16668753093108535, -0.00302603996048371, -0.06429023217168395, 0.38984116732522295, -0.02673668787530106, -0.2542548625281564, 0.1601163615576095, -0.22713370484955334, -0.1787199377409976, 0.09380204954046618, 0.078126041908507, 0.1506451781908119, -0.04804204371585338, 0.2865776532702579, -0.1015016396564466, 0.1574508430160306, 0.022383134751753124, -0.020688378821230598, 0.1303431727854466, 0.0039547039540829484, 0.0914344695845136, 0.04227560591081985, 0.03837939310404989, 0.07359244025967739, -0.3139960712718743, -0.20478459905953733, -0.07319951019491311, 0.15165479852024605, -0.060458915232932973, -0.16071333130821586, 0.2846997504432996, -0.04627596721467045, 0.1644691981513191, 0.05284459005040979, 0.21486226360624036, 0.04509750470795013, 0.030791231585209498, 0.12472871048548431, 0.12990445476370277, 0.26361149452902655, -0.07213365388344284, -0.17373516723617083, -0.008917488554423605, 0.14467171348493407] |
711.4822 | XMM-Newton observations of the Lockman Hole: X-ray source catalogue and
number counts | The Lockman Hole field represents the sky area of lowest Galactic
line-of-sight column density N_H=5.7X10^19 cm^-2. It was observed by the
XMM-Newton X-ray observatory in 18 pointings for a total of 1.16 Msec (raw EPIC
pn observing time) constituting the deepest XMM-Newton exposure so far. We
present a catalogue of the X-ray sources detected in the central 0.196 deg^2 of
the field and discuss the derived number counts and X-ray colours. In the
0.5--2.0 keV band, a sensitivity limit (defined as the faintest detectable
source)of 1.9X10^-16 erg cm^-2 s^-1 was reached. The 2.0--10.0 keV band and
5.0--10.0 keV band sensitivity limits were 9X10^-16 erg cm^-2 s^-1 and
1.8X10^-15 erg cm^-2 s^-1, respectively.A total of 409 sources above a
detection likelihood of 10 (3.9 sigma) were found within a radius of 15' off
the field centre, of which 340, 266, and 98 sources were detected in the soft,
hard, and very hard bands, respectively. The number counts in each energy band
are in close agreement with results from previous surveys and with the
synthesis models of the X-ray background. A 6% of Compton-thick source
candidates have been selected from the X-ray colour-colour diagram. This
fraction is consistent with the most recent predictions of X-ray background
population synthesis models at our flux limits. We also estimated, for the
first time, the logN-logS relation for Compton-thick AGN.
| astro-ph | the lockman hole field represents the sky area of lowest galactic lineofsight column density n_h57x1019 cm2 it was observed by the xmmnewton xray observatory in 18 pointings for a total of 116 msec raw epic pn observing time constituting the deepest xmmnewton exposure so far we present a catalogue of the xray sources detected in the central 0196 deg2 of the field and discuss the derived number counts and xray colours in the 0520 kev band a sensitivity limit defined as the faintest detectable sourceof 19x1016 erg cm2 s1 was reached the 20100 kev band and 50100 kev band sensitivity limits were 9x1016 erg cm2 s1 and 18x1015 erg cm2 s1 respectivelya total of 409 sources above a detection likelihood of 10 39 sigma were found within a radius of 15 off the field centre of which 340 266 and 98 sources were detected in the soft hard and very hard bands respectively the number counts in each energy band are in close agreement with results from previous surveys and with the synthesis models of the xray background a 6 of comptonthick source candidates have been selected from the xray colourcolour diagram this fraction is consistent with the most recent predictions of xray background population synthesis models at our flux limits we also estimated for the first time the lognlogs relation for comptonthick agn | [['the', 'lockman', 'hole', 'field', 'represents', 'the', 'sky', 'area', 'of', 'lowest', 'galactic', 'lineofsight', 'column', 'density', 'n_h57x1019', 'cm2', 'it', 'was', 'observed', 'by', 'the', 'xmmnewton', 'xray', 'observatory', 'in', '18', 'pointings', 'for', 'a', 'total', 'of', '116', 'msec', 'raw', 'epic', 'pn', 'observing', 'time', 'constituting', 'the', 'deepest', 'xmmnewton', 'exposure', 'so', 'far', 'we', 'present', 'a', 'catalogue', 'of', 'the', 'xray', 'sources', 'detected', 'in', 'the', 'central', '0196', 'deg2', 'of', 'the', 'field', 'and', 'discuss', 'the', 'derived', 'number', 'counts', 'and', 'xray', 'colours', 'in', 'the', '0520', 'kev', 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711.4823 | The UV-Optical Color Magnitude Diagram II: Physical Properties and
Morphological Evolution On and Off of a Star-Forming Sequence | We use the UV-optical color magnitude diagram in combination with
spectroscopic and photometric measurements derived from the SDSS spectroscopic
sample to measure the distribution of galaxies in the local universe (z<0.25)
and their physical properties as a function of specific star formation rate
(SSFR) and stellar mass. Throughout this study our emphasis is on the
properties of galaxies on and off of a local "star-forming sequence." We
discuss how the physical characteristics of galaxies along this sequence are
related to scaling relations typically derived for galaxies of different
morphological types. We find, among other trends that our measure of the star
formation rate surface density is nearly constant along this sequence. We
discuss this result and implications for galaxies at higher redshift. For the
first time, we report on measurements of the local UV luminosity function
versus galaxy structural parameters as well as inclination. We also split our
sample into disk-dominated and bulge-dominated subsamples using the i-band
Sersic index and find that disk-dominated galaxies occupy a very tight locus in
SSFR vs. stellar mass space while bulge-dominated galaxies display a much
larger spread of SSFR at fixed stellar mass. A significant fraction of galaxies
with SSFR and SF surface density above those on the "star-forming sequence" are
bulge-dominated. We can use our derived distribution functions to ask whether a
significant fraction of these galaxies may be experiencing a final episode of
star formation (possibly induced by a merger or other burst), soon to be
quenched, by determining whether this population can explain the growth rate of
the non-star-forming galaxies on the "red sequence." (Abridged)
| astro-ph | we use the uvoptical color magnitude diagram in combination with spectroscopic and photometric measurements derived from the sdss spectroscopic sample to measure the distribution of galaxies in the local universe z025 and their physical properties as a function of specific star formation rate ssfr and stellar mass throughout this study our emphasis is on the properties of galaxies on and off of a local starforming sequence we discuss how the physical characteristics of galaxies along this sequence are related to scaling relations typically derived for galaxies of different morphological types we find among other trends that our measure of the star formation rate surface density is nearly constant along this sequence we discuss this result and implications for galaxies at higher redshift for the first time we report on measurements of the local uv luminosity function versus galaxy structural parameters as well as inclination we also split our sample into diskdominated and bulgedominated subsamples using the iband sersic index and find that diskdominated galaxies occupy a very tight locus in ssfr vs stellar mass space while bulgedominated galaxies display a much larger spread of ssfr at fixed stellar mass a significant fraction of galaxies with ssfr and sf surface density above those on the starforming sequence are bulgedominated we can use our derived distribution functions to ask whether a significant fraction of these galaxies may be experiencing a final episode of star formation possibly induced by a merger or other burst soon to be quenched by determining whether this population can explain the growth rate of the nonstarforming galaxies on the red sequence abridged | [['we', 'use', 'the', 'uvoptical', 'color', 'magnitude', 'diagram', 'in', 'combination', 'with', 'spectroscopic', 'and', 'photometric', 'measurements', 'derived', 'from', 'the', 'sdss', 'spectroscopic', 'sample', 'to', 'measure', 'the', 'distribution', 'of', 'galaxies', 'in', 'the', 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711.4824 | Bulk Viscosity of a Gas of Massless Pions | In the hadronic phase, the dominant configuration of QCD with two flavors of
massless quarks is a gas of massless pions. We calculate the bulk viscosity
(zeta) using the Boltzmann equation with the kinetic theory generalized to
incorporate the trace anomaly. We find that the dimensionless ratio zeta/s, s
being the entropy density, is monotonic increasing below T=120 MeV, where
chiral perturbation theory is applicable. This, combined with previous results,
shows that zeta/s reaches its maximum near the phase transition temperature Tc,
while eta/s, eta being the shear viscosity, reaches its minimum near Tc in QCD
with massless quarks.
| hep-ph hep-ex hep-lat nucl-ex nucl-th | in the hadronic phase the dominant configuration of qcd with two flavors of massless quarks is a gas of massless pions we calculate the bulk viscosity zeta using the boltzmann equation with the kinetic theory generalized to incorporate the trace anomaly we find that the dimensionless ratio zetas s being the entropy density is monotonic increasing below t120 mev where chiral perturbation theory is applicable this combined with previous results shows that zetas reaches its maximum near the phase transition temperature tc while etas eta being the shear viscosity reaches its minimum near tc in qcd with massless quarks | [['in', 'the', 'hadronic', 'phase', 'the', 'dominant', 'configuration', 'of', 'qcd', 'with', 'two', 'flavors', 'of', 'massless', 'quarks', 'is', 'a', 'gas', 'of', 'massless', 'pions', 'we', 'calculate', 'the', 'bulk', 'viscosity', 'zeta', 'using', 'the', 'boltzmann', 'equation', 'with', 'the', 'kinetic', 'theory', 'generalized', 'to', 'incorporate', 'the', 'trace', 'anomaly', 'we', 'find', 'that', 'the', 'dimensionless', 'ratio', 'zetas', 's', 'being', 'the', 'entropy', 'density', 'is', 'monotonic', 'increasing', 'below', 't120', 'mev', 'where', 'chiral', 'perturbation', 'theory', 'is', 'applicable', 'this', 'combined', 'with', 'previous', 'results', 'shows', 'that', 'zetas', 'reaches', 'its', 'maximum', 'near', 'the', 'phase', 'transition', 'temperature', 'tc', 'while', 'etas', 'eta', 'being', 'the', 'shear', 'viscosity', 'reaches', 'its', 'minimum', 'near', 'tc', 'in', 'qcd', 'with', 'massless', 'quarks']] | [-0.15492932197009918, 0.29894153883379665, -0.12052742508416431, 0.025651543850380213, -0.03440308188837295, -0.1270541570930168, 0.06362838238463596, 0.27334427851195814, -0.1946107995733995, -0.21055396871095655, -0.019750746068158985, -0.3786393247187288, -0.023341985972071388, 0.06709761805173875, 0.06545894038910517, 0.07606068607113992, -0.0032508068311150476, 0.08938685928781827, -0.15164224336375343, -0.2144597638598314, 0.31014516294905636, 0.02073659092503026, 0.2572243678997355, 0.16206847539058689, 0.04274696058998204, -0.03336872180660415, 0.039000274127847845, 0.01572188779222544, -0.1828187145158999, -0.041063114483323365, 0.23055752581032463, -0.021443125883568868, 0.1461569996353126, -0.3206699289513206, -0.24036242572045086, 0.07303680857464746, 0.11514194664719392, 0.04711061385648344, 0.025860730041232374, -0.19692897461731024, 0.08193540381211223, -0.16869902329500577, -0.19240038409227073, -0.08409363618873135, -0.011351634510745756, -0.06405397869159722, -0.2869254265055813, 0.20632408586603523, -0.04391842586637446, 0.015567784423403667, -0.059820558031494116, -0.21069534752292163, -0.08064789900490356, -0.007159722058779814, 0.17014929768159007, 0.1470192202926623, 0.17086734942212287, -0.21003546691593725, -0.04749944834320834, 0.37374759638550303, -0.11677887204169023, -0.11938816929386571, 0.15206150089465834, -0.18890910188319407, -0.09777415756399584, 0.20529902436196654, 0.09197268026147151, 0.1299617154984688, -0.10787851617417553, 0.11790116564041436, -0.04411220355453252, 0.19585788089222264, 0.08661477693422424, -0.01995266126139522, 0.263456622251507, 0.16474288612406587, 0.016960898160257122, 0.12459147611698794, -0.07022056087023681, -0.10688762349368196, -0.3400095966550512, -0.15755444851167727, -0.1860085924572283, 0.062312817323313216, -0.16677795573504586, -0.17833500033752483, 0.32102647130236484, 0.15124321232239404, 0.19278694252657583, 0.058573067752700866, 0.2748042177126715, 0.20391478814711475, 0.05036457392829235, 0.1350433000909033, 0.30769402024423176, 0.23771142069664267, 0.17004284531000363, -0.3230616372205656, -0.032072294011919036, 0.14064873012036763] |
711.4825 | Approximation Algorithms for Orienteering with Time Windows | Orienteering is the following optimization problem: given an edge-weighted
graph (directed or undirected), two nodes s,t and a time limit T, find an s-t
walk of total length at most T that maximizes the number of distinct nodes
visited by the walk. One obtains a generalization, namely orienteering with
time-windows (also referred to as TSP with time-windows), if each node v has a
specified time-window [R(v), D(v)] and a node v is counted as visited by the
walk only if v is visited during its time-window. For the time-window problem,
an O(\log \opt) approximation can be achieved even for directed graphs if the
algorithm is allowed quasi-polynomial time. However, the best known polynomial
time approximation ratios are O(\log^2 \opt) for undirected graphs and O(\log^4
\opt) in directed graphs. In this paper we make some progress towards closing
this discrepancy, and in the process obtain improved approximation ratios in
several natural settings. Let L(v) = D(v) - R(v) denote the length of the
time-window for v and let \lmax = \max_v L(v) and \lmin = \min_v L(v). Our
results are given below with \alpha denoting the known approximation ratio for
orienteering (without time-windows). Currently \alpha = (2+\eps) for undirected
graphs and \alpha = O(\log^2 \opt) in directed graphs.
1. An O(\alpha \log \lmax) approximation when R(v) and D(v) are integer
valued for each v.
2. An O(\alpha \max{\log \opt, \log \frac{\lmax}{\lmin}}) approximation.
3. An O(\alpha \log \frac{\lmax}{\lmin}) approximation when no start and end
points are specified.
In particular, if \frac{\lmax}{\lmin} is poly-bounded, we obtain an O(\log n)
approximation for the time-window problem in undirected graphs.
| cs.DS | orienteering is the following optimization problem given an edgeweighted graph directed or undirected two nodes st and a time limit t find an st walk of total length at most t that maximizes the number of distinct nodes visited by the walk one obtains a generalization namely orienteering with timewindows also referred to as tsp with timewindows if each node v has a specified timewindow rv dv and a node v is counted as visited by the walk only if v is visited during its timewindow for the timewindow problem an olog opt approximation can be achieved even for directed graphs if the algorithm is allowed quasipolynomial time however the best known polynomial time approximation ratios are olog2 opt for undirected graphs and olog4 opt in directed graphs in this paper we make some progress towards closing this discrepancy and in the process obtain improved approximation ratios in several natural settings let lv dv rv denote the length of the timewindow for v and let lmax max_v lv and lmin min_v lv our results are given below with alpha denoting the known approximation ratio for orienteering without timewindows currently alpha 2eps for undirected graphs and alpha olog2 opt in directed graphs 1 an oalpha log lmax approximation when rv and dv are integer valued for each v 2 an oalpha maxlog opt log fraclmaxlmin approximation 3 an oalpha log fraclmaxlmin approximation when no start and end points are specified in particular if fraclmaxlmin is polybounded we obtain an olog n approximation for the timewindow problem in undirected graphs | [['orienteering', 'is', 'the', 'following', 'optimization', 'problem', 'given', 'an', 'edgeweighted', 'graph', 'directed', 'or', 'undirected', 'two', 'nodes', 'st', 'and', 'a', 'time', 'limit', 't', 'find', 'an', 'st', 'walk', 'of', 'total', 'length', 'at', 'most', 't', 'that', 'maximizes', 'the', 'number', 'of', 'distinct', 'nodes', 'visited', 'by', 'the', 'walk', 'one', 'obtains', 'a', 'generalization', 'namely', 'orienteering', 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711.4826 | The integral cohomology rings of some p-groups | We determine the integral cohomology rings of an infinite family of p-groups,
for odd primes p, with cyclic derived subgroups. Our method involves embedding
the groups in a compact Lie group of dimension one, and was suggested by P H
Kropholler and J Huebschmann.
| math.AT | we determine the integral cohomology rings of an infinite family of pgroups for odd primes p with cyclic derived subgroups our method involves embedding the groups in a compact lie group of dimension one and was suggested by p h kropholler and j huebschmann | [['we', 'determine', 'the', 'integral', 'cohomology', 'rings', 'of', 'an', 'infinite', 'family', 'of', 'pgroups', 'for', 'odd', 'primes', 'p', 'with', 'cyclic', 'derived', 'subgroups', 'our', 'method', 'involves', 'embedding', 'the', 'groups', 'in', 'a', 'compact', 'lie', 'group', 'of', 'dimension', 'one', 'and', 'was', 'suggested', 'by', 'p', 'h', 'kropholler', 'and', 'j', 'huebschmann']] | [-0.24286348122934048, 0.08762701511130383, -0.11351555663118647, 0.0563885916701772, -0.08763745040844449, -0.14570972824003547, 0.0020604649220000615, 0.31753064543855464, -0.2905918788164854, -0.2756825528446246, 0.06047740743484941, -0.22877168240533632, -0.07751515022986992, 0.1916600740938024, -0.10634609017605809, -0.04765015498692678, 0.004458293948449533, 0.14590584160760045, -0.031232319253666155, -0.3378487546843561, 0.3914580323352394, -0.05736024626954035, 0.1855633608892359, -0.0324761634057557, 0.06708623315948485, 0.06807670306774195, -0.07341768640220504, -0.04857255118391053, -0.18647945782339032, 0.1400590147611431, 0.34449893282726407, -0.007256790418812836, 0.20009764182296666, -0.3016402224417437, -0.14629647597162562, 0.2043116488493979, 0.1209323312240568, -0.025254034029785544, -0.04352217404679819, -0.26349233920601284, 0.12327094818465412, -0.22637942412190817, -0.19755994713738223, -0.0544738127342002, 0.194262075999921, 0.004752338705161078, -0.2650964147284288, 0.018821985069239003, 0.1262831500392746, 0.16305171056989243, -0.059706692811398, -0.17858526403804056, -0.02078603171552955, 0.06021444965947673, -0.03580620846795765, -0.029775782848115672, 0.061277978884225544, -0.008859299250285734, -0.17878296999895776, 0.37447643167185807, -0.03925688113932582, -0.1374313407154246, 0.10803850508951159, -0.1886319663820111, -0.2162969420896843, 0.17974455591121857, 0.019408755893395704, 0.18566686086441306, 0.017104813702065836, 0.2315742571663577, -0.14337395336902278, 0.054644698234782976, 0.10310512666844508, -0.08526743692345917, 0.06637872505763714, 0.06171087465587665, 0.07212345439686695, 0.12843985423255203, 0.00014448038895021784, 0.07838118601251733, -0.3199424273757772, -0.2175853852055628, -0.1505456515376202, 0.1122615355416201, -0.10893900417762449, -0.12302818418670954, 0.3764945968816226, -0.006683663168752735, 0.12791961296038193, 0.08631562495561824, 0.13888723142868417, 0.017102796253642406, 0.11070287000091578, 0.10450634677942038, 0.049758348328230735, 0.2653914322198199, -0.13740617844583045, -0.17127750677702186, -0.06844945201671428, 0.26343272952362895] |
711.4827 | Separatrix chaos: new approach to the theoretical treatment | We develop a new approach to the theoretical treatment of the separatrix
chaos, using a special analysis of the separatrix map. The approach allows us
to describe boundaries of the separatrix chaotic layer in the Poincar\'{e}
section and transport within the layer. We show that the maximum which the
width of the layer in energy takes as the perturbation frequency varies is much
larger than the perturbation amplitude, in contrast to predictions by earlier
theories suggesting that the maximum width is of the order of the amplitude.
The approach has also allowed us to develop the self-consistent theory of the
earlier discovered (PRL 90, 174101 (2003)) drastic facilitation of the onset of
global chaos between adjacent separatrices. Simulations agree with the theory.
| nlin.CD | we develop a new approach to the theoretical treatment of the separatrix chaos using a special analysis of the separatrix map the approach allows us to describe boundaries of the separatrix chaotic layer in the poincare section and transport within the layer we show that the maximum which the width of the layer in energy takes as the perturbation frequency varies is much larger than the perturbation amplitude in contrast to predictions by earlier theories suggesting that the maximum width is of the order of the amplitude the approach has also allowed us to develop the selfconsistent theory of the earlier discovered prl 90 174101 2003 drastic facilitation of the onset of global chaos between adjacent separatrices simulations agree with the theory | [['we', 'develop', 'a', 'new', 'approach', 'to', 'the', 'theoretical', 'treatment', 'of', 'the', 'separatrix', 'chaos', 'using', 'a', 'special', 'analysis', 'of', 'the', 'separatrix', 'map', 'the', 'approach', 'allows', 'us', 'to', 'describe', 'boundaries', 'of', 'the', 'separatrix', 'chaotic', 'layer', 'in', 'the', 'poincare', 'section', 'and', 'transport', 'within', 'the', 'layer', 'we', 'show', 'that', 'the', 'maximum', 'which', 'the', 'width', 'of', 'the', 'layer', 'in', 'energy', 'takes', 'as', 'the', 'perturbation', 'frequency', 'varies', 'is', 'much', 'larger', 'than', 'the', 'perturbation', 'amplitude', 'in', 'contrast', 'to', 'predictions', 'by', 'earlier', 'theories', 'suggesting', 'that', 'the', 'maximum', 'width', 'is', 'of', 'the', 'order', 'of', 'the', 'amplitude', 'the', 'approach', 'has', 'also', 'allowed', 'us', 'to', 'develop', 'the', 'selfconsistent', 'theory', 'of', 'the', 'earlier', 'discovered', 'prl', '90', '174101', '2003', 'drastic', 'facilitation', 'of', 'the', 'onset', 'of', 'global', 'chaos', 'between', 'adjacent', 'separatrices', 'simulations', 'agree', 'with', 'the', 'theory']] | [-0.1404652638765449, 0.0942299022171341, -0.11366023303040104, 0.05025822248073203, -0.045211544810015644, -0.07127984769625177, 0.08474733581819922, 0.2979435816285063, -0.23698464026063926, -0.298866593736972, 0.037227742710784384, -0.24517398489819034, -0.17136615792816107, 0.1660913635411712, -0.02011252421557476, 0.05055049854162775, 0.044819138661698725, 0.046311620134310644, -0.06558192995010463, -0.17954924784707607, 0.27621133660241104, 0.09023267971962447, 0.29150977454789473, 0.05034367505796864, 0.04758667101564466, -0.004343299261966079, -0.011508876869796592, 0.014572152852645664, -0.19678378625656956, 0.11960989962805246, 0.18807280476617275, 0.05294647928876955, 0.2623808661200961, -0.4411163024726461, -0.23821131246103372, 0.023326985293724498, 0.13377548927884, 0.1395316951532207, 0.05517046591224049, -0.268867602831394, 0.07053566259545747, -0.15480690166644265, -0.15750097619659711, -0.03229595355491047, 0.023826315491383927, -0.01571784887584995, -0.26511957629996, 0.12498925786945381, 0.06505279301772596, 0.03384247376415573, -0.03399989710496662, -0.04743273356227112, -0.07578335896317588, 0.11096425349232511, 0.05034488633076553, 0.06487809685364243, 0.12625745045341796, -0.08848963045423515, -0.08852892192691321, 0.321778965564292, -0.0777953553933614, -0.11667589140964336, 0.18245569162345568, -0.2018711679256292, -0.08252944622463623, 0.1772118357943417, 0.14227547207236535, 0.10817445629299237, -0.08869416606669757, 0.07890516048493856, -0.03857324800652559, 0.17130100765631948, 0.09098012980501183, -0.02979674036461921, 0.17869241077636108, 0.16493906946013087, 0.06294757097226675, 0.127945469260086, -0.1449250717209385, -0.17325543647357186, -0.3069459759920347, -0.12967324377701725, -0.10661932935205395, -0.00042428352324230996, -0.09105184383021923, -0.18079328160641378, 0.4471318942616831, 0.21266892444739333, 0.22919012903480135, 0.024247060580461544, 0.26468740012038683, 0.16834288831613195, 0.07290319847248372, 0.06744786711852448, 0.31393176036291437, 0.18990748883492206, 0.09071025489753143, -0.22060098112980667, 0.048770919461261296, 0.09463735299230722] |
711.4828 | Non-ohmic spin transport in n-type doped silicon | We demonstrate the injection and transport of spin-polarized electrons
through n-type doped silicon with in-plane spin-valve and perpendicular
magnetic field spin precession and dephasing ("Hanle effect") measurements. A
voltage applied across the transport layer is used to vary the confinement
potential caused by conduction band-bending and control the dominant transport
mechanism between drift and diffusion. By modeling transport in this device
with a Monte-Carlo scheme, we simulate the observed spin polarization and Hanle
features, showing that the average transit time across the short Si transport
layer can be controlled over 4 orders of magnitude with applied voltage. As a
result, this modeling allows inference of a long electron spin lifetime,
despite the short transit length.
| cond-mat.mtrl-sci cond-mat.other | we demonstrate the injection and transport of spinpolarized electrons through ntype doped silicon with inplane spinvalve and perpendicular magnetic field spin precession and dephasing hanle effect measurements a voltage applied across the transport layer is used to vary the confinement potential caused by conduction bandbending and control the dominant transport mechanism between drift and diffusion by modeling transport in this device with a montecarlo scheme we simulate the observed spin polarization and hanle features showing that the average transit time across the short si transport layer can be controlled over 4 orders of magnitude with applied voltage as a result this modeling allows inference of a long electron spin lifetime despite the short transit length | [['we', 'demonstrate', 'the', 'injection', 'and', 'transport', 'of', 'spinpolarized', 'electrons', 'through', 'ntype', 'doped', 'silicon', 'with', 'inplane', 'spinvalve', 'and', 'perpendicular', 'magnetic', 'field', 'spin', 'precession', 'and', 'dephasing', 'hanle', 'effect', 'measurements', 'a', 'voltage', 'applied', 'across', 'the', 'transport', 'layer', 'is', 'used', 'to', 'vary', 'the', 'confinement', 'potential', 'caused', 'by', 'conduction', 'bandbending', 'and', 'control', 'the', 'dominant', 'transport', 'mechanism', 'between', 'drift', 'and', 'diffusion', 'by', 'modeling', 'transport', 'in', 'this', 'device', 'with', 'a', 'montecarlo', 'scheme', 'we', 'simulate', 'the', 'observed', 'spin', 'polarization', 'and', 'hanle', 'features', 'showing', 'that', 'the', 'average', 'transit', 'time', 'across', 'the', 'short', 'si', 'transport', 'layer', 'can', 'be', 'controlled', 'over', '4', 'orders', 'of', 'magnitude', 'with', 'applied', 'voltage', 'as', 'a', 'result', 'this', 'modeling', 'allows', 'inference', 'of', 'a', 'long', 'electron', 'spin', 'lifetime', 'despite', 'the', 'short', 'transit', 'length']] | [-0.17432268770087672, 0.19138136765231256, -0.0193251914061282, 0.006869905272944142, -0.012365560290282187, -0.1796932637853467, 0.045228598477399864, 0.4434533993835035, -0.34651313262951117, -0.33329595907226856, -0.014229097465336647, -0.24805011229966667, -0.07103485440146988, 0.2593924630939475, 0.027525465963813275, 0.004789771751055251, 0.02238594549100684, -0.11822318689006826, -0.05679523061920443, -0.1895300525362077, 0.197837664940111, 0.04374965915213461, 0.31343194216631515, 0.10843064572824085, 0.09519113326931129, 0.06988684717241837, 0.04540930882744167, 0.05227045271059741, -0.1090325346190619, 0.025446512209980385, 0.21697156500557194, -0.1289275577251354, 0.1791427231191293, -0.484477556610237, -0.25804897124433646, -0.016002150361790604, 0.14846768093335888, 0.16124968358477496, -0.06687843033477016, -0.2504213202096846, 0.007123463398412518, -0.1673275024184714, -0.06876993634859505, -0.031008912813242362, 0.013976386678405107, 0.01728211968489315, -0.2707168317359427, 0.10675007942355359, 0.06867938704140808, 0.07646210377469011, -0.07234787937182852, -0.07360060613035507, -0.07455801509482705, 0.07790859472057175, 0.06554829605207171, 0.038816317130366096, 0.24356691421859938, -0.062227681827852904, -0.15149647860342394, 0.2965480193313535, -0.12931026979552016, -0.13645941956049723, 0.1291084198848061, -0.19688455605393518, 0.04064600128356529, 0.15851289237970892, 0.15014065355062484, 0.12187504699028542, -0.16996520644701693, 0.01339925457622208, 0.03159894422506509, 0.16115936357730432, 0.058730516125164604, 0.06027326130753626, 0.27286276690985845, 0.24302011972353996, 0.06411531432329312, 0.08851741420651746, -0.2393722173879328, -0.030676235829520483, -0.20231288696598748, -0.15109890251288838, -0.16284064622595906, 0.15057268677097138, -0.07347053475602044, -0.1316949778560387, 0.47659530593395494, 0.24360407982628954, 0.14006981473901997, -0.04109151017416836, 0.32008969852214925, 0.14560691532678902, 0.1040563857263845, 0.08184683300433275, 0.21444971510107913, 0.20648318908238056, 0.15683081903920063, -0.36618169641284193, 0.15297758212798965, -0.04495063873473555] |
711.4829 | Induced trees in triangle-free graphs | We prove that every connected triangle-free graph on $n$ vertices contains an
induced tree on $\exp(c\sqrt{\log n})$ vertices, where $c$ is a positive
constant. The best known upper bound is $(2+o(1))\sqrt n$. This partially
answers questions of Erdos, Saks, and Sos and of Pultr.
| math.CO | we prove that every connected trianglefree graph on n vertices contains an induced tree on expcsqrtlog n vertices where c is a positive constant the best known upper bound is 2o1sqrt n this partially answers questions of erdos saks and sos and of pultr | [['we', 'prove', 'that', 'every', 'connected', 'trianglefree', 'graph', 'on', 'n', 'vertices', 'contains', 'an', 'induced', 'tree', 'on', 'expcsqrtlog', 'n', 'vertices', 'where', 'c', 'is', 'a', 'positive', 'constant', 'the', 'best', 'known', 'upper', 'bound', 'is', '2o1sqrt', 'n', 'this', 'partially', 'answers', 'questions', 'of', 'erdos', 'saks', 'and', 'sos', 'and', 'of', 'pultr']] | [-0.20048537149670578, 0.1816942113457896, 0.024131995520465785, 0.025430597733551014, -0.10246910579458234, -0.21265219780616462, 0.12287858682906344, 0.3021300551038058, -0.2361750596513351, -0.32603338378525915, 0.06920365939315941, -0.390638674476317, -0.15937199622636572, 0.07325276723575025, -0.11112629708700947, -0.012569196971266397, 0.09246371471367422, 0.12399820967887838, 0.12565506165958054, -0.3967983152286338, 0.290293892435286, -0.06300693074063886, 0.12078036358469121, 0.17397568148693868, 0.09959693738658514, 0.027356750320731885, 0.010887223118472667, 0.015161350413802125, -0.20056661509529694, 0.08196365794615953, 0.25551657164691105, 0.2222541373256328, 0.22772409944307237, -0.36031202329641454, -0.07611861793945233, 0.19182331682947865, 0.13846684256125064, 0.015601609767015492, 0.034300911583982054, -0.21316141803704558, 0.12249918554776482, -0.011757611917952696, -0.09509736279557858, 0.0551389820341553, 0.15954203691910065, -0.06966362957886997, -0.3064301386032076, -0.05046328877852786, 0.188496298688863, 0.018878150281601676, 0.057734551440392225, -0.23248196586168238, -0.014625426925097903, 0.10543380188755691, -0.0895120340643362, 0.13691380159885047, -0.006985881744185463, -0.0707403834891184, -0.2117761704361155, 0.26394057689633754, -0.08230438183194824, -0.12640991167808396, 0.10676034685179946, -0.13061730805340976, -0.21819302257582812, 0.07540751301816531, 0.12202117396962076, 0.21932965478550787, -0.06410744380471962, 0.24734777471305625, -0.22055104201925652, 0.19260714846175342, 0.21552860084921122, -0.05901815364181641, 0.07642088787508242, 0.1258855266940026, 0.20199807123502805, 0.16701250834878356, 0.11017738915758118, 0.05508300381535221, -0.26169450776208014, -0.1016697082183479, -0.29635264771059155, 0.14758064868372112, -0.19619430295521548, -0.21840334382085574, 0.31936802302620243, 0.04002605105883309, 0.22742911587868417, 0.13070954881342395, 0.20378209306814132, 0.04052015864068553, -0.03799171176866539, 0.2672963980363593, 0.0663365600630641, 0.19546723195041218, -0.09389040064776227, -0.14782665479218676, 0.127423395020222, 0.18766125478959156] |
711.483 | Gravitational collapse of plasmas in General Relativity | We provide a covariant derivation of plasma physics coupled to gravitation by
utilizing the 3+1 formulation of general relativity, including a discussion of
the Lorentz force law. We then reduce the system to the spherically symmetric
case and show that all regions of the spacetime can be represented in a single
coordinate system, thus revoking the need for junction conditions. We further
show that the region exterior to the collapsing region is naturally described
by the charged Vaidya spacetime in non-null coordinates.
| gr-qc | we provide a covariant derivation of plasma physics coupled to gravitation by utilizing the 31 formulation of general relativity including a discussion of the lorentz force law we then reduce the system to the spherically symmetric case and show that all regions of the spacetime can be represented in a single coordinate system thus revoking the need for junction conditions we further show that the region exterior to the collapsing region is naturally described by the charged vaidya spacetime in nonnull coordinates | [['we', 'provide', 'a', 'covariant', 'derivation', 'of', 'plasma', 'physics', 'coupled', 'to', 'gravitation', 'by', 'utilizing', 'the', '31', 'formulation', 'of', 'general', 'relativity', 'including', 'a', 'discussion', 'of', 'the', 'lorentz', 'force', 'law', 'we', 'then', 'reduce', 'the', 'system', 'to', 'the', 'spherically', 'symmetric', 'case', 'and', 'show', 'that', 'all', 'regions', 'of', 'the', 'spacetime', 'can', 'be', 'represented', 'in', 'a', 'single', 'coordinate', 'system', 'thus', 'revoking', 'the', 'need', 'for', 'junction', 'conditions', 'we', 'further', 'show', 'that', 'the', 'region', 'exterior', 'to', 'the', 'collapsing', 'region', 'is', 'naturally', 'described', 'by', 'the', 'charged', 'vaidya', 'spacetime', 'in', 'nonnull', 'coordinates']] | [-0.15133692078837535, 0.10316327828686775, -0.0876325676501615, 0.036585214509481066, -0.0763383064924444, -0.14119827425357226, -0.022518507325624274, 0.2966857064804971, -0.2139836808825593, -0.2770269089605568, 0.0481198198224486, -0.2192053741025852, -0.13220527254771897, 0.14597496867361592, -0.059836549616969624, -0.011520911933763362, 0.0003027756408810979, 0.04258495491181171, -0.1010311154887171, -0.1818594764705134, 0.3653384645628493, 0.07064889976754785, 0.24802400573815514, 0.017762022217871938, 0.11266257242504053, -0.0012762570021128872, -0.01576184385978594, 0.10619710140475412, -0.10494022101885071, 0.055565382160882394, 0.18759273310623517, 0.13562179396281066, 0.20250411531547222, -0.4385439448013175, -0.25579808183332403, 0.06576251679259103, 0.1557004935925872, 0.13788594479286453, -0.05182244858091197, -0.32114530506646033, 0.04829489377259118, -0.20804149368721084, -0.20484585277509035, -0.05530777498057521, 0.010003375275651129, -0.031026774909483586, -0.2684589588969219, 0.09507920722499853, 0.07499314874705927, -0.029781246631656114, -0.09974894542019905, -0.017253339085472386, -0.004401432236701977, 0.07424806397430962, 0.0536415857609316, 0.02519120209532358, 0.16814851485442642, -0.08756206008015065, -0.05916791594950709, 0.41895396893889436, -0.053948328143167426, -0.29080809550586995, 0.12615031899356216, -0.22290000393305245, -0.0896420888034854, 0.09754784519943159, 0.1563422557693429, 0.16529645642633733, -0.20556619010365954, 0.1315970826183663, -0.04771786919090806, 0.11394445838196567, 0.11432252684608102, -0.0020589281644433645, 0.26875184667183133, 0.09082085315546976, 0.04319445083553835, 0.15429553642681595, -0.040293390479324974, -0.1466516227228567, -0.40724332158158466, -0.17874546484487905, -0.12799997321222115, 0.05701214601512908, -0.11590279620577348, -0.1354820069732008, 0.3441834732117813, 0.10455189014943998, 0.11575398566882784, 0.010543525866346388, 0.2554762823643481, 0.10653082908290189, 0.04173551500979357, 0.11272878731918953, 0.27542385636124667, 0.12960317787123707, 0.11275590802173743, -0.22269918570840141, -0.051653035496157115, 0.10018550498956223] |
711.4831 | The mod-p cohomology rings of some p-groups | We determine the mod-p cohomology rings of an infinite family of p-groups,
for odd primes p, with cyclic derived subgroups. Our method involves embedding
the groups in a compact Lie group of dimension one, and was suggested by P. H.
Kropholler and J. Huebschmann.
| math.AT | we determine the modp cohomology rings of an infinite family of pgroups for odd primes p with cyclic derived subgroups our method involves embedding the groups in a compact lie group of dimension one and was suggested by p h kropholler and j huebschmann | [['we', 'determine', 'the', 'modp', 'cohomology', 'rings', 'of', 'an', 'infinite', 'family', 'of', 'pgroups', 'for', 'odd', 'primes', 'p', 'with', 'cyclic', 'derived', 'subgroups', 'our', 'method', 'involves', 'embedding', 'the', 'groups', 'in', 'a', 'compact', 'lie', 'group', 'of', 'dimension', 'one', 'and', 'was', 'suggested', 'by', 'p', 'h', 'kropholler', 'and', 'j', 'huebschmann']] | [-0.24301912250335922, 0.09074909184214035, -0.11113721480466086, 0.05212244713170962, -0.07672262025616047, -0.14701564839660106, 0.004596652717075564, 0.3151475840078836, -0.2967416862533851, -0.26874074631963263, 0.05217140967777761, -0.22878708919002252, -0.07855853292329068, 0.19082953687757254, -0.11822398728691041, -0.04894327944864265, 0.0018626488268968058, 0.1400706552455879, -0.031937530931000685, -0.34220417038622225, 0.39504138771867886, -0.05663530308414589, 0.19122678900616433, -0.029355368852107364, 0.04895536888877607, 0.060319936797234484, -0.06922939806033603, -0.054481402949684045, -0.1900155284357342, 0.13322632808492266, 0.356206608555195, -0.003927841205784882, 0.1906183043664152, -0.2952600186690688, -0.1343154936436225, 0.21954808314330876, 0.11795402800833638, -0.021117095089390536, -0.03864118761636994, -0.264372657476501, 0.13761362571015276, -0.23652539880607615, -0.19071403855923563, -0.0533719785426828, 0.19766431623561817, -0.0002431529891592535, -0.2592990917195989, 0.015027986701831898, 0.13955937448719685, 0.1712693169247359, -0.05363759463547136, -0.17892853904049844, -0.03491702977970073, 0.06492924597908066, -0.0410330664281818, -0.035657885844226585, 0.06694310844283212, -0.004248058635064147, -0.17960909037554468, 0.38476422485572664, -0.03760996484197676, -0.13147447317500005, 0.11005304759601131, -0.19151808932127262, -0.2237632281718437, 0.1659418962980536, 0.023937570312145082, 0.18570797350680965, 0.034239037851379675, 0.24131611413692802, -0.1465089104603976, 0.061632774473929945, 0.11186015627092936, -0.0893935840365223, 0.06764778278937394, 0.060911439888348635, 0.07063157570717687, 0.1291121072506278, 0.008281884968958118, 0.08918937143277038, -0.3182677021250129, -0.2132929445202039, -0.1376280865251002, 0.11341699867361141, -0.11264221197118539, -0.11943670953306454, 0.3882276731627909, -0.009677655613896522, 0.14104107733477245, 0.0911619780394672, 0.1325890458485281, 0.0010677129109601744, 0.10263498704245483, 0.10087858216800007, 0.04341878357809037, 0.27425988946131175, -0.15367883777468128, -0.16438836281833408, -0.0676615151883611, 0.27190346258099785] |
711.4832 | Some examples in the integral and Brown-Peterson cohomology of p-groups | For each odd prime p, we exhibit p-groups G of p-rank two such that (suitably
defined) Chern classes of unitary representations of G fail to generate the
following rings:
1. The even degree integral cohomology of G;
2. The final page of the Atiyah-Hirzebruch spectral sequence for G;
3. The Brown-Peterson generalized cohomology of G.
It follows that these groups afford counterexamples to conjectures of C. B.
Thomas, M. F. Atiyah and P. Landweber.
| math.AT | for each odd prime p we exhibit pgroups g of prank two such that suitably defined chern classes of unitary representations of g fail to generate the following rings 1 the even degree integral cohomology of g 2 the final page of the atiyahhirzebruch spectral sequence for g 3 the brownpeterson generalized cohomology of g it follows that these groups afford counterexamples to conjectures of c b thomas m f atiyah and p landweber | [['for', 'each', 'odd', 'prime', 'p', 'we', 'exhibit', 'pgroups', 'g', 'of', 'prank', 'two', 'such', 'that', 'suitably', 'defined', 'chern', 'classes', 'of', 'unitary', 'representations', 'of', 'g', 'fail', 'to', 'generate', 'the', 'following', 'rings', '1', 'the', 'even', 'degree', 'integral', 'cohomology', 'of', 'g', '2', 'the', 'final', 'page', 'of', 'the', 'atiyahhirzebruch', 'spectral', 'sequence', 'for', 'g', '3', 'the', 'brownpeterson', 'generalized', 'cohomology', 'of', 'g', 'it', 'follows', 'that', 'these', 'groups', 'afford', 'counterexamples', 'to', 'conjectures', 'of', 'c', 'b', 'thomas', 'm', 'f', 'atiyah', 'and', 'p', 'landweber']] | [-0.24469942041370715, 0.09077782701147166, -0.12739515826861197, 0.08618987474993274, -0.08393582068635402, -0.2319109783747007, -0.03219920428740364, 0.33649808233855544, -0.3253182008912837, -0.31346208237212253, 0.005780142511719385, -0.21386320777614978, -0.10079767664491728, 0.15628714351977752, -0.13518698501551674, -0.02461785694892594, 0.0579196817896052, 0.11407037595966579, -0.04815511364879942, -0.37747874923956554, 0.40109997917268725, -0.09247448744183104, 0.13911973064563968, -0.0050658003137623135, 0.05148350576417068, 0.025189527562139807, -0.008113631456335252, -0.04391345489971541, -0.1711180329496258, 0.10865284101030714, 0.3537047870859906, 0.06833843420561705, 0.2031283207155915, -0.3080601187020138, -0.09296816763644283, 0.22848703728586034, 0.06648017631901107, -0.07534941227955592, 0.04982974154346094, -0.236487608233064, 0.20331821832931726, -0.19563317385433726, -0.1435906152442299, -0.06866349544174769, 0.18183019879349582, 0.05316165591373008, -0.24425982683897018, -0.031055683043558855, 0.1645138679021919, 0.12938461909574028, -0.01924596311260216, -0.1852144157086071, -0.09528956997107614, 0.10722395173601203, -0.031900319472156664, 0.04533672223899614, 0.07951363400757513, -0.09318587821640854, -0.15108715574181564, 0.3581543097373199, -0.0832510784746626, -0.10767080219512856, 0.08823747869983718, -0.20168420725275535, -0.227533265759514, 0.1540171146468335, 0.020149324539218198, 0.20058419975779346, 0.09545652375783066, 0.18360484297610694, -0.1266013943288173, 0.04771861712593031, 0.14701581178736445, -0.057117548887617886, 0.10297535181775488, -0.009032069847012896, 0.07957330787856434, 0.08787848042777262, 0.0071145063769575715, 0.1404189282172435, -0.3819294928925464, -0.1947955692287635, -0.199055910585574, 0.1868800554500037, -0.11148295562216427, -0.13157196647827388, 0.447425117766535, 0.04869226286993236, 0.16094759665429592, 0.1441854518787885, 0.139508278159475, 0.04740118830640976, 0.05696197711733623, 0.088093607183829, 0.040095840933153756, 0.2600487375480903, -0.06664825296281157, -0.17459120518351728, -0.07703436540464896, 0.22812984107263587] |
711.4833 | Clues to the Origin of the Mass-Metallicity Relation: Dependence on Star
Formation Rate and Galaxy Size | We use a sample of 43,690 galaxies selected from the Sloan Digital Sky Survey
Data Release 4 to study the systematic effects of specific star formation rate
(SSFR) and galaxy size (as measured by the half light radius, r_h) on the
mass-metallicity relation. We find that galaxies with high SSFR or large r_h
for their stellar mass have systematically lower gas phase-metallicities (by up
to 0.2 dex) than galaxies with low SSFR or small r_h. We discuss possible
origins for these dependencies, including galactic winds/outflows, abundance
gradients, environment and star formation rate efficiencies.
| astro-ph | we use a sample of 43690 galaxies selected from the sloan digital sky survey data release 4 to study the systematic effects of specific star formation rate ssfr and galaxy size as measured by the half light radius r_h on the massmetallicity relation we find that galaxies with high ssfr or large r_h for their stellar mass have systematically lower gas phasemetallicities by up to 02 dex than galaxies with low ssfr or small r_h we discuss possible origins for these dependencies including galactic windsoutflows abundance gradients environment and star formation rate efficiencies | [['we', 'use', 'a', 'sample', 'of', '43690', 'galaxies', 'selected', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'data', 'release', '4', 'to', 'study', 'the', 'systematic', 'effects', 'of', 'specific', 'star', 'formation', 'rate', 'ssfr', 'and', 'galaxy', 'size', 'as', 'measured', 'by', 'the', 'half', 'light', 'radius', 'r_h', 'on', 'the', 'massmetallicity', 'relation', 'we', 'find', 'that', 'galaxies', 'with', 'high', 'ssfr', 'or', 'large', 'r_h', 'for', 'their', 'stellar', 'mass', 'have', 'systematically', 'lower', 'gas', 'phasemetallicities', 'by', 'up', 'to', '02', 'dex', 'than', 'galaxies', 'with', 'low', 'ssfr', 'or', 'small', 'r_h', 'we', 'discuss', 'possible', 'origins', 'for', 'these', 'dependencies', 'including', 'galactic', 'windsoutflows', 'abundance', 'gradients', 'environment', 'and', 'star', 'formation', 'rate', 'efficiencies']] | [-0.029544160661036864, 0.10630847848337757, 0.011612160049460746, 0.12949713174084837, -0.11807979641170087, -0.010568343271798158, 0.10797136951145808, 0.44971611956646157, -0.1306622441458915, -0.4122008760306206, 0.045047905669639725, -0.3319314216253358, 0.014966230455704116, 0.21139251294156924, -0.052973396779334804, -0.04064972822651636, -0.012944530327241499, -0.11379036716195745, -0.08016640017804393, -0.3734339367544565, 0.32605439035354983, 0.07650745328474831, 0.20433607404657567, -0.04799629697719446, 0.06720194949353994, -0.12957755478283206, -0.09786982085187357, -0.016279406425962737, -0.2815156478060129, -0.040068346075713634, 0.24222692541245902, 0.13747692476077886, 0.22855445619795348, -0.30346847956980627, -0.16426909052777094, 0.07214059216190376, 0.22566001382554052, 0.05886478341379008, -0.19708358806143464, -0.2269239439296403, 0.07579373086771958, -0.20169285949381008, -0.14405872961403904, 0.08317593270196365, 0.07500785850449004, 0.05540230578824796, -0.1706805278209376, 0.27499399085498444, -0.0005417594348418189, 0.14897893630172854, -0.11142095873275629, -0.12221257123523034, -0.120136371992815, 0.07754367469697372, -0.01247869499518976, 0.09241721059251987, 0.2699389900183203, -0.15884507440317136, 0.042691996034521326, 0.3969122235264097, -0.05950108303891234, 0.04506881399960308, 0.18820150219067766, -0.28367855306714773, -0.13313693532228962, 0.05317045778552951, 0.23105510874845825, 0.1037935970842347, -0.16761972010647366, -0.017249705104584612, 0.0536280303469419, 0.24612855876458214, 0.04553878943916861, 0.08761967959635313, 0.35206462002799405, 0.09801022363199781, 0.06591108488174831, 0.0491159891717361, -0.24074643691438813, -0.02047349547437689, -0.1790355778258335, -0.06186585218369306, -0.08830289628643256, 0.11589392869231793, -0.2108107267538019, -0.051156223086374145, 0.2760355837827364, 0.10419816471867208, 0.3084989921061916, 0.1525627569459215, 0.29263501389177293, 0.06980163364921911, 0.19622017594136215, 0.10062270131535254, 0.2759105033435664, 0.18004554229184658, 0.06907440221530724, -0.29907627885516447, 0.08453345812529653, -0.006176780387349836] |
711.4834 | A differential in the Lyndon-Hochschild-Serre spectral sequence | We consider the Lyndon-Hochschild-Serre spectral sequence with mod-p
coefficients for a central extension with kernel cyclic of order a power of p
and arbitrary discrete quotient group. For this spectral sequence the second
and third differentials are known, and we give a description for the fourth
differential. Using this result we deduce a similar formula for the Serre
spectral sequence for a principal fibration with fibre the classifying space of
a cyclic p-group. The differential from odd rows to even rows involves a Massey
triple product, so we describe the calculation of such products in the
cohomology of a finite abelian group. As an example we determine the Poincare
series for the mod-3 cohomology of various 3-groups.
Remarks. 1) My definition of the higher differentials $d_i$ for $i\geq 2$ in
the spectral sequence for a double chain complex differs from the usual one by
a factor of $(-1)^{i+1}$. Both conventions are consistent, but the usual
definition has the advantage of agreeing with the ``obvious'' definition of the
differentials in the spectral sequence for the associated filtered chain
complex. All of the theorems in this paper remain true exactly as stated if the
more usual definition of $d_i$ is taken.
2) Carles Broto found a small mistake in this paper: the result for
fibrations with fibre the classifying space of a cyclic group is stated for
arbitrary fibrations, although it is only proved for principal fibrations.
Since it is apparent from the first sentence of the proof that only principal
fibrations are being considered, I have not bothered to publish an erratum.
| math.AT | we consider the lyndonhochschildserre spectral sequence with modp coefficients for a central extension with kernel cyclic of order a power of p and arbitrary discrete quotient group for this spectral sequence the second and third differentials are known and we give a description for the fourth differential using this result we deduce a similar formula for the serre spectral sequence for a principal fibration with fibre the classifying space of a cyclic pgroup the differential from odd rows to even rows involves a massey triple product so we describe the calculation of such products in the cohomology of a finite abelian group as an example we determine the poincare series for the mod3 cohomology of various 3groups remarks 1 my definition of the higher differentials d_i for igeq 2 in the spectral sequence for a double chain complex differs from the usual one by a factor of 1i1 both conventions are consistent but the usual definition has the advantage of agreeing with the obvious definition of the differentials in the spectral sequence for the associated filtered chain complex all of the theorems in this paper remain true exactly as stated if the more usual definition of d_i is taken 2 carles broto found a small mistake in this paper the result for fibrations with fibre the classifying space of a cyclic group is stated for arbitrary fibrations although it is only proved for principal fibrations since it is apparent from the first sentence of the proof that only principal fibrations are being considered i have not bothered to publish an erratum | [['we', 'consider', 'the', 'lyndonhochschildserre', 'spectral', 'sequence', 'with', 'modp', 'coefficients', 'for', 'a', 'central', 'extension', 'with', 'kernel', 'cyclic', 'of', 'order', 'a', 'power', 'of', 'p', 'and', 'arbitrary', 'discrete', 'quotient', 'group', 'for', 'this', 'spectral', 'sequence', 'the', 'second', 'and', 'third', 'differentials', 'are', 'known', 'and', 'we', 'give', 'a', 'description', 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711.4835 | Time averages of polynomials | We define and study when a polynomial mapping has a local or global time
average. We conjecture that a polynomial f in the complex plane has a time
average near a point z if and only if z is eventually mapped into a Siegel-disc
of f. We prove that the conjecture holds generically, namely for those
polynomials whose iterates have the maximal number of critical values.
Important steps in the proofs rely on understanding the iterated monodromy
groups. We also show that a polynomial automorphism of C^2 has a global time
average if and only if the map is conjugate to an elementary mapping. The
definition of a time average is motivated by an attempt to understand the
polynomial automorphism groups in dimensions 3 and higher.
| math.CV math.DS | we define and study when a polynomial mapping has a local or global time average we conjecture that a polynomial f in the complex plane has a time average near a point z if and only if z is eventually mapped into a siegeldisc of f we prove that the conjecture holds generically namely for those polynomials whose iterates have the maximal number of critical values important steps in the proofs rely on understanding the iterated monodromy groups we also show that a polynomial automorphism of c2 has a global time average if and only if the map is conjugate to an elementary mapping the definition of a time average is motivated by an attempt to understand the polynomial automorphism groups in dimensions 3 and higher | [['we', 'define', 'and', 'study', 'when', 'a', 'polynomial', 'mapping', 'has', 'a', 'local', 'or', 'global', 'time', 'average', 'we', 'conjecture', 'that', 'a', 'polynomial', 'f', 'in', 'the', 'complex', 'plane', 'has', 'a', 'time', 'average', 'near', 'a', 'point', 'z', 'if', 'and', 'only', 'if', 'z', 'is', 'eventually', 'mapped', 'into', 'a', 'siegeldisc', 'of', 'f', 'we', 'prove', 'that', 'the', 'conjecture', 'holds', 'generically', 'namely', 'for', 'those', 'polynomials', 'whose', 'iterates', 'have', 'the', 'maximal', 'number', 'of', 'critical', 'values', 'important', 'steps', 'in', 'the', 'proofs', 'rely', 'on', 'understanding', 'the', 'iterated', 'monodromy', 'groups', 'we', 'also', 'show', 'that', 'a', 'polynomial', 'automorphism', 'of', 'c2', 'has', 'a', 'global', 'time', 'average', 'if', 'and', 'only', 'if', 'the', 'map', 'is', 'conjugate', 'to', 'an', 'elementary', 'mapping', 'the', 'definition', 'of', 'a', 'time', 'average', 'is', 'motivated', 'by', 'an', 'attempt', 'to', 'understand', 'the', 'polynomial', 'automorphism', 'groups', 'in', 'dimensions', '3', 'and', 'higher']] | [-0.1708905940479599, 0.0947362616530154, -0.13228147214651106, 0.036974852426908913, -0.037689551159739494, -0.13718005343712866, 0.040192339238710705, 0.34403692597895863, -0.29713922706246376, -0.23769706898275764, 0.1305870570698753, -0.24313202568888664, -0.15959563648095354, 0.18802021568082272, -0.047583828296512365, -0.0038606202573282645, 0.02128457673639059, 0.1148249257877469, -0.10463836467452348, -0.3032590681090951, 0.3242499432899058, -0.01211830534785986, 0.18248832470923662, 0.06300568444654346, 0.13468325147777796, -0.0032111360159469767, -0.026550480864942074, 0.008244315657764673, -0.13628565313568106, 0.06682818359369412, 0.23152821482717992, 0.11699402381293475, 0.29168936333805323, -0.3782912529855967, -0.1512873874362558, 0.2512835399582982, 0.1794399203956127, 0.03602762972563505, -0.03876527346856892, -0.21959478602558374, 0.14125367123633623, -0.09934109084494412, -0.1558802202157676, -0.04121559365838766, 0.10349003943055868, 0.018837443692609666, -0.26483505304157734, 0.019932767128339038, 0.11184699185192586, 0.1036679713241756, -0.021402332834899427, -0.05399000086635351, -0.05666047017276287, 0.11782032252592034, 0.0029962671753019096, 0.10077677276916802, 0.08528212083131075, -0.11880338735878468, -0.09425529215112328, 0.37620099130272866, -0.06255188732221723, -0.2083821089286357, 0.14953008334338666, -0.1892985302992165, -0.19086855537816882, 0.12233401806280017, 0.1340457959137857, 0.12694384836032988, -0.06291410501732025, 0.17314459971897303, -0.128876714900136, 0.18577007837709972, 0.07745699234306812, -0.02334743829444051, 0.14938057141751052, 0.07833647135458886, 0.14988074514083563, 0.12420609977841378, -0.005517687766812742, -0.03728196190297604, -0.29733285069465637, -0.20805417891591788, -0.15577850454766304, 0.11082210794836282, -0.11884260152606294, -0.1322708056755364, 0.4122578472495079, 0.10358480510860682, 0.21441354683786631, 0.12940682486444713, 0.24948233803920447, 0.14448599444003776, 0.0643922191336751, 0.09547252967953682, 0.1599418961405754, 0.1096812385264784, -0.011926595769822598, -0.15184740707278252, 0.062470227047801016, 0.1682840019315481] |
711.4836 | Divisorial Cohomology Vanishing on Toric Varieties | This work discusses combinatorial and arithmetic aspects of cohomology
vanishing for divisorial sheaves on toric varieties. We obtain a refined
variant of the Kawamata-Viehweg theorem which is slightly stronger. Moreover,
we prove a new vanishing theorem related to divisors whose inverse is nef and
has small Kodaira dimension. Finally, we give a new criterion for divisorial
sheaves for being maximal Cohen-Macaulay.
| math.AG math.CO | this work discusses combinatorial and arithmetic aspects of cohomology vanishing for divisorial sheaves on toric varieties we obtain a refined variant of the kawamataviehweg theorem which is slightly stronger moreover we prove a new vanishing theorem related to divisors whose inverse is nef and has small kodaira dimension finally we give a new criterion for divisorial sheaves for being maximal cohenmacaulay | [['this', 'work', 'discusses', 'combinatorial', 'and', 'arithmetic', 'aspects', 'of', 'cohomology', 'vanishing', 'for', 'divisorial', 'sheaves', 'on', 'toric', 'varieties', 'we', 'obtain', 'a', 'refined', 'variant', 'of', 'the', 'kawamataviehweg', 'theorem', 'which', 'is', 'slightly', 'stronger', 'moreover', 'we', 'prove', 'a', 'new', 'vanishing', 'theorem', 'related', 'to', 'divisors', 'whose', 'inverse', 'is', 'nef', 'and', 'has', 'small', 'kodaira', 'dimension', 'finally', 'we', 'give', 'a', 'new', 'criterion', 'for', 'divisorial', 'sheaves', 'for', 'being', 'maximal', 'cohenmacaulay']] | [-0.18973324005110342, 0.021765279201943367, -0.13982482504130142, 0.1694155939507344, -0.140972778391948, -0.2734799439805087, 0.011461439761943871, 0.24375295455827087, -0.358550478620302, -0.11475792554680442, 0.12850611985920637, -0.20468816041305174, -0.1456748621584084, 0.2230057094826317, -0.30001881996887264, -0.02908026027019884, 0.030688797169532933, 0.0492686014469774, -0.08295883678964275, -0.36523294622902985, 0.5156802522843001, -0.028621440829678636, 0.26333429859798463, 0.23291629264283864, 0.1258968900216192, 0.014989165062481751, -0.007695746341849998, -0.0462033172809809, -0.22955733636913242, 0.17884346963379716, 0.32228070289873684, 0.07225536348176051, 0.18728530997807374, -0.3718018285380524, -0.06606441280865645, 0.2766830833995196, 0.09852230237018256, 0.06334278951437197, 0.005886525138983595, -0.19988535326279577, 0.17141882195061103, -0.13281091641573634, -0.2552059528982786, -0.16573157375220393, 0.0526736126907292, 0.015553243641482025, -0.22794969086764288, -0.0064670237575153834, 0.15646015320614468, 0.21939721814982716, -0.04481939507312462, -0.12658227703411926, -0.054370408954068285, -0.06590089337236141, 0.002613013541539673, 0.014117022342674557, 0.07931971669074941, -0.08688847903452325, -0.1330867256877608, 0.2990332911111659, -0.033995821214181786, -0.21115036131661447, 0.07878555047524269, -0.09982948409790388, -0.1906304957925296, 0.10991212482121392, 0.0561584384928717, 0.25117557828665754, 0.052984589737549916, 0.1402775110413519, -0.19283703125280435, 0.027202980182530572, 0.1435888287054039, 0.042998826619787295, 0.09951880873948121, 0.11130528356574598, 0.13938657982946664, 0.1616716636039439, -0.010682868454452665, -0.020983490421146642, -0.3629875362499571, -0.231730096416212, -0.10679730726787667, 0.25022060691653825, -0.1523804781327719, -0.19259209769060376, 0.4183541696946152, 0.05402214157196586, 0.17254622452691976, 0.23223141903156932, 0.2905044714294252, 0.050072348920903245, 0.012462720824558227, 0.026840368025272045, 0.15613951743198712, 0.25742753147773567, -0.01753677301811146, -0.040855095357744814, 0.008924828537884856, 0.3416140913719036] |
711.4837 | Performance of a non-empirical meta-GGA density functional for
excitation energies | It is known that the adiabatic approximation in time-dependent density
functional theory usually provides a good description of low-lying excitations
of molecules. In the present work, the capability of the adiabatic nonempirical
meta-generalized gradient approximation (meta-GGA) of Tao, Perdew, Staroverov,
and Scuseria (TPSS) to describe atomic and molecular excitations is tested. The
adiabatic (one-parameter) hybrid version of the TPSS meta-GGA and the adiabatic
GGA of Perdew, Burke, and Ernzerhof (PBE) are also included in the test. The
results are compared to experiments and to two well-established hybrid
functionals PBE0 and B3LYP. Calculations show that both adiabatic TPSS and
TPSSh functionals produce excitation energies in fairly good agreement with
experiments, and improve upon the adiabatic local spin density approximation
and, in particular, the adiabatic PBE GGA. This further confirms that TPSS is
indeed a reliable nonhybrid universal functional which can serve as the
starting point from which higher-level approximations can be constructed. The
systematic underestimate of the low-lying vertical excitation energies of
molecules with time-dependent density functionals within the adiabatic
approximation suggests that further improvement can be made with nonadiabatic
corrections.
| cond-mat.mtrl-sci | it is known that the adiabatic approximation in timedependent density functional theory usually provides a good description of lowlying excitations of molecules in the present work the capability of the adiabatic nonempirical metageneralized gradient approximation metagga of tao perdew staroverov and scuseria tpss to describe atomic and molecular excitations is tested the adiabatic oneparameter hybrid version of the tpss metagga and the adiabatic gga of perdew burke and ernzerhof pbe are also included in the test the results are compared to experiments and to two wellestablished hybrid functionals pbe0 and b3lyp calculations show that both adiabatic tpss and tpssh functionals produce excitation energies in fairly good agreement with experiments and improve upon the adiabatic local spin density approximation and in particular the adiabatic pbe gga this further confirms that tpss is indeed a reliable nonhybrid universal functional which can serve as the starting point from which higherlevel approximations can be constructed the systematic underestimate of the lowlying vertical excitation energies of molecules with timedependent density functionals within the adiabatic approximation suggests that further improvement can be made with nonadiabatic corrections | [['it', 'is', 'known', 'that', 'the', 'adiabatic', 'approximation', 'in', 'timedependent', 'density', 'functional', 'theory', 'usually', 'provides', 'a', 'good', 'description', 'of', 'lowlying', 'excitations', 'of', 'molecules', 'in', 'the', 'present', 'work', 'the', 'capability', 'of', 'the', 'adiabatic', 'nonempirical', 'metageneralized', 'gradient', 'approximation', 'metagga', 'of', 'tao', 'perdew', 'staroverov', 'and', 'scuseria', 'tpss', 'to', 'describe', 'atomic', 'and', 'molecular', 'excitations', 'is', 'tested', 'the', 'adiabatic', 'oneparameter', 'hybrid', 'version', 'of', 'the', 'tpss', 'metagga', 'and', 'the', 'adiabatic', 'gga', 'of', 'perdew', 'burke', 'and', 'ernzerhof', 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711.4838 | p-Groups are not determined by their integral cohomology groups | For each prime p, we exhibit pairs of p-groups all of whose integral
cohomology groups are isomorphic. The method used involves very little
calculation. The groups are exhibited as kernels of homomorphisms from a
compact Lie group G to U(1), and the main result is that kernels of `similar'
elements of Hom(G,U(1)) have isomorphic integral cohomology groups.
The 2-groups constructed in this version have been corrected (there was a
mistake in the presentations given in the published paper).
| math.AT | for each prime p we exhibit pairs of pgroups all of whose integral cohomology groups are isomorphic the method used involves very little calculation the groups are exhibited as kernels of homomorphisms from a compact lie group g to u1 and the main result is that kernels of similar elements of homgu1 have isomorphic integral cohomology groups the 2groups constructed in this version have been corrected there was a mistake in the presentations given in the published paper | [['for', 'each', 'prime', 'p', 'we', 'exhibit', 'pairs', 'of', 'pgroups', 'all', 'of', 'whose', 'integral', 'cohomology', 'groups', 'are', 'isomorphic', 'the', 'method', 'used', 'involves', 'very', 'little', 'calculation', 'the', 'groups', 'are', 'exhibited', 'as', 'kernels', 'of', 'homomorphisms', 'from', 'a', 'compact', 'lie', 'group', 'g', 'to', 'u1', 'and', 'the', 'main', 'result', 'is', 'that', 'kernels', 'of', 'similar', 'elements', 'of', 'homgu1', 'have', 'isomorphic', 'integral', 'cohomology', 'groups', 'the', '2groups', 'constructed', 'in', 'this', 'version', 'have', 'been', 'corrected', 'there', 'was', 'a', 'mistake', 'in', 'the', 'presentations', 'given', 'in', 'the', 'published', 'paper']] | [-0.17411671049421193, 0.060928799193836265, -0.13851530228245568, 0.08667495527588943, -0.08543113323363971, -0.11630377613685348, -0.02980749750836426, 0.41287498732472394, -0.251743650765388, -0.2870537554119508, 0.09405778991451559, -0.26947340168445916, -0.13181469406835833, 0.21416635600874176, -0.14825427029039953, -0.03882419981679262, 0.06233192281192773, 0.14088289512248783, -0.08179638950553324, -0.3240388673911621, 0.3906068516193659, -0.030100575297490342, 0.19266857782548125, -0.0013983114441106846, 0.08041591989481217, -0.026868012897041323, -0.08504870038648898, -0.021637599419367003, -0.11820239185814084, 0.11220091771237649, 0.34907155363010123, -0.0033938886579609924, 0.21974201210435818, -0.3481522692343244, -0.10727454282573194, 0.2144174546051722, 0.11458903701080904, 0.026182191712515696, -0.07795451834265675, -0.25990017443024493, 0.12624893875720053, -0.2253117020689435, -0.09220511679138456, -0.06035285358401862, 0.084580187480171, 0.04513589283088585, -0.1734628015040577, 0.022826345764439215, 0.06502930409964416, 0.13457952980133522, -0.05843349279799535, -0.15278313872585822, -0.032087547498960776, 0.15308200927185162, -0.0003485640347632882, 0.03062686694229578, 0.08083283243846003, -0.07411577421627552, -0.16480584354926045, 0.4226544118643581, -0.03331040600677589, -0.16658649918949836, 0.14044159042419163, -0.1730157185093403, -0.24451545082250392, 0.1875162683790187, 0.06917179318737578, 0.16543846446778868, -0.06017185302523823, 0.16397284326225206, -0.13604486076911163, 0.06203863247261419, 0.08370720642292268, -0.0054979833483986265, 0.0978022970186619, 0.084725359361014, 0.027305207027775513, 0.13212843249588238, 0.05922252663060442, 0.036890918413152944, -0.3531096407345363, -0.16267943382263184, -0.14279285123323804, 0.08409745531313896, -0.05009139632763093, -0.15502169632425458, 0.3861591956735431, 0.07123594416619895, 0.13914568663284474, 0.08991026586865063, 0.17619556164393177, 0.07356454010647662, 0.19290795384652235, 0.07203704450739087, 0.13496852431494694, 0.26393444907500757, -0.04392566766390311, -0.09029939819532506, 0.0034714031952445385, 0.21532098251673115] |
711.4839 | 3-groups are not determined by their integral cohomology rings | We compute the integral cohomology rings of a family of 3-groups. As a
corollary, we exhibit, for each n greater than or equal to 5, a pair of groups
of order 3^n whose integral cohomology rings are isomorphic.
| math.AT | we compute the integral cohomology rings of a family of 3groups as a corollary we exhibit for each n greater than or equal to 5 a pair of groups of order 3n whose integral cohomology rings are isomorphic | [['we', 'compute', 'the', 'integral', 'cohomology', 'rings', 'of', 'a', 'family', 'of', '3groups', 'as', 'a', 'corollary', 'we', 'exhibit', 'for', 'each', 'n', 'greater', 'than', 'or', 'equal', 'to', '5', 'a', 'pair', 'of', 'groups', 'of', 'order', '3n', 'whose', 'integral', 'cohomology', 'rings', 'are', 'isomorphic']] | [-0.24418810764817814, 0.0723576212890054, -0.0909048060543443, 0.07577425383160037, -0.04842230670864841, -0.14926198537853597, -0.056413471475121026, 0.34145499246292993, -0.2867401965746754, -0.27233486465717616, 0.10774379534842937, -0.3079754034743497, -0.10067839780822396, 0.16702293780460759, -0.040590021710254644, -0.08628634718785945, -0.014874668338483102, 0.18725576472321623, -0.10811052070991871, -0.31351280707473816, 0.36553261536908777, -0.07863378603207438, 0.1043646247126162, -0.0165032171521728, 0.10321918013505638, 0.0023410695997115815, -0.02572220197486642, 0.004281875383304923, -0.1882443410148354, 0.17722206111801297, 0.2869026427843461, -0.03340851834141895, 0.1904288784288311, -0.3802013857976386, -0.029204317466600946, 0.24905963293521813, 0.1732084864725996, 0.0031007375310812342, 0.040618424365100894, -0.1718382981458777, 0.15441026541061306, -0.27172848106803077, -0.198717426655716, -0.06744824381741255, 0.12626417843919052, 0.0687064565718174, -0.2521821661656232, 0.007517409069757713, 0.07663538811826393, 0.1404795580004391, -0.06148444835439717, -0.14891678153684265, -0.0580648356362393, 0.08618293334362342, -0.07452665523037706, 0.009240329939577924, 0.10331994204438831, -0.07367445388808846, -0.16947566159069538, 0.418562065790052, -0.07205025980281214, -0.1726909714113725, 0.13069395311054235, -0.19167704738088345, -0.1509642842054171, 0.21323167366024695, 0.07397746184448663, 0.227996202234767, 0.022278789381839727, 0.08961656410247087, -0.12764389822749714, 0.07281664553049363, 0.1431461706585986, 0.07105429691115492, 0.1284904310871896, 0.06682398823383999, 0.13260549668369717, 0.15625606688033594, -0.007624306225855099, -0.012522986844966286, -0.37630815705970716, -0.2534693872041412, -0.1497603640156357, 0.18022819011668234, -0.09453437134844105, -0.1658061478152185, 0.38279479604802635, 0.038507215384589996, 0.17869914166237177, 0.139199271455015, 0.18863293136421003, 0.050334084261282296, 0.15463755746666147, 0.03575099129719954, 0.06771307977798738, 0.21082674393332318, -0.11169884696994957, -0.10774475434108784, -0.04272589790879896, 0.20007301982198106] |
711.484 | Entanglement, Non-linear Dynamics, and the Heisenberg Limit | We show that the quantum Fisher information provides a sufficient condition
to recognize multi-particle entanglement in a $N$ qubit state. The same
criterion gives a necessary and sufficient condition for sub shot-noise phase
sensitivity in the estimation of a collective rotation angle $\theta$. The
analysis therefore singles out the class of entangled states which are {\it
useful} to overcome classical phase sensitivity in metrology and sensors. We
finally study the creation of useful entangled states by the non-linear
dynamical evolution of two decoupled Bose-Einstein condensates or trapped ions.
| quant-ph cond-mat.other | we show that the quantum fisher information provides a sufficient condition to recognize multiparticle entanglement in a n qubit state the same criterion gives a necessary and sufficient condition for sub shotnoise phase sensitivity in the estimation of a collective rotation angle theta the analysis therefore singles out the class of entangled states which are it useful to overcome classical phase sensitivity in metrology and sensors we finally study the creation of useful entangled states by the nonlinear dynamical evolution of two decoupled boseeinstein condensates or trapped ions | [['we', 'show', 'that', 'the', 'quantum', 'fisher', 'information', 'provides', 'a', 'sufficient', 'condition', 'to', 'recognize', 'multiparticle', 'entanglement', 'in', 'a', 'n', 'qubit', 'state', 'the', 'same', 'criterion', 'gives', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'sub', 'shotnoise', 'phase', 'sensitivity', 'in', 'the', 'estimation', 'of', 'a', 'collective', 'rotation', 'angle', 'theta', 'the', 'analysis', 'therefore', 'singles', 'out', 'the', 'class', 'of', 'entangled', 'states', 'which', 'are', 'it', 'useful', 'to', 'overcome', 'classical', 'phase', 'sensitivity', 'in', 'metrology', 'and', 'sensors', 'we', 'finally', 'study', 'the', 'creation', 'of', 'useful', 'entangled', 'states', 'by', 'the', 'nonlinear', 'dynamical', 'evolution', 'of', 'two', 'decoupled', 'boseeinstein', 'condensates', 'or', 'trapped', 'ions']] | [-0.16448968050959098, 0.22746134787501598, -0.10428402028893205, 0.08837596002823292, 0.005648622463922948, -0.21188116756886963, 0.05969027326632799, 0.31740954408517363, -0.23344812576066365, -0.25346400345336983, 0.0712307880219834, -0.23429835968735543, -0.10736001415749673, 0.16913103818396022, -0.02071603216543074, 0.11959572793619538, 0.08550970628394597, 0.046321265579370614, -0.07810152347982777, -0.21485722216311842, 0.29442806846716185, 0.031760687605128624, 0.3035451049747115, 0.04528847474350848, 0.11496457744868332, 0.007374225089072504, 0.024200780917784537, -0.016426602526652543, -0.15229079708635915, 0.06767892793471798, 0.27344475982020167, 0.11918227260784162, 0.2614778651305559, -0.39883751096203923, -0.17152596190995115, 0.13233483100016616, 0.1445716646108353, 0.1766258428622016, -0.02029480610773052, -0.35039076101119543, -0.01888483433074064, -0.13612857281854798, -0.16991802813506432, -0.15676937654974277, -0.0005549764715727757, -0.03930384066453288, -0.29627962019400333, 0.1160845882947218, 0.09063828669307193, 0.034318292936818165, -0.02174719507456757, -0.01839627194038423, -0.014011132128706033, 0.10493735843390989, -0.0937890287340534, -0.030713148408474146, 0.12731638151242144, -0.1611557960912416, -0.09695578808631664, 0.33744776536795223, -0.0457253518073809, -0.20934836597139525, 0.16414540975661526, -0.14587195588550952, -0.11255368100881408, 0.10932789035723545, 0.14393991576931017, 0.11826900943097743, -0.14719158625865186, 0.0006792156901528043, -0.015973606226246127, 0.2015022566034035, 0.07216136520252224, 0.13860257777956908, 0.23981399779123339, 0.10753666383044963, 0.12032383860258217, 0.20787999012761496, -0.10469714488664811, -0.14283377377829642, -0.31663405525349925, -0.19362613437591458, -0.1868214542681182, 0.08501996698032599, -0.07054901781818691, -0.11838893183845688, 0.38806379873263225, 0.15949855071415764, 0.14058401293004863, -0.03382157569682353, 0.26308504106815567, 0.09202825142777081, 0.006778941510922529, 0.006455954894508151, 0.2801310704962816, 0.20180879695478574, 0.07665184563136956, -0.2782446594527838, 0.01476296434305947, 0.03691524905099703] |
711.4841 | Sets, Lists and Noncrossing Partitions | Partitions of [n]={1,2,...,n} into sets of lists are counted by sequence
number A000262 in the On-Line Encyclopedia of Integer Sequences. They are
somewhat less numerous than partitions of [n] into lists of sets, A000670. Here
we observe that the former are actually equinumerous with partitions of [n]
into lists of *noncrossing* sets and give a bijective proof. We show that
partitions of [n] into sets of noncrossing lists are counted by A088368 and
generalize this result to introduce a transform on integer sequences that we
dub the "noncrossing partition" transform. We also derive recurrence relations
to count partitions of [n] into lists of noncrossing lists.
| math.CO | partitions of n12n into sets of lists are counted by sequence number a000262 in the online encyclopedia of integer sequences they are somewhat less numerous than partitions of n into lists of sets a000670 here we observe that the former are actually equinumerous with partitions of n into lists of noncrossing sets and give a bijective proof we show that partitions of n into sets of noncrossing lists are counted by a088368 and generalize this result to introduce a transform on integer sequences that we dub the noncrossing partition transform we also derive recurrence relations to count partitions of n into lists of noncrossing lists | [['partitions', 'of', 'n12n', 'into', 'sets', 'of', 'lists', 'are', 'counted', 'by', 'sequence', 'number', 'a000262', 'in', 'the', 'online', 'encyclopedia', 'of', 'integer', 'sequences', 'they', 'are', 'somewhat', 'less', 'numerous', 'than', 'partitions', 'of', 'n', 'into', 'lists', 'of', 'sets', 'a000670', 'here', 'we', 'observe', 'that', 'the', 'former', 'are', 'actually', 'equinumerous', 'with', 'partitions', 'of', 'n', 'into', 'lists', 'of', 'noncrossing', 'sets', 'and', 'give', 'a', 'bijective', 'proof', 'we', 'show', 'that', 'partitions', 'of', 'n', 'into', 'sets', 'of', 'noncrossing', 'lists', 'are', 'counted', 'by', 'a088368', 'and', 'generalize', 'this', 'result', 'to', 'introduce', 'a', 'transform', 'on', 'integer', 'sequences', 'that', 'we', 'dub', 'the', 'noncrossing', 'partition', 'transform', 'we', 'also', 'derive', 'recurrence', 'relations', 'to', 'count', 'partitions', 'of', 'n', 'into', 'lists', 'of', 'noncrossing', 'lists']] | [-0.19192490222699501, 0.16614516090610812, -0.05902295188941792, 0.12320966526806611, -0.06612777861529122, -0.09487201970107123, 0.11657718516425138, 0.3772342307675703, -0.27708536545134277, -0.32543501689089643, 0.02380846271305071, -0.3526301806354347, -0.09317143963120293, 0.1608851769523622, -0.07372918028804455, -0.04563357456765302, 0.09042793333384336, 0.01981744070665217, 0.004223783172931814, -0.35105463775450035, 0.33786111104977773, -0.09939936358782955, 0.1735346460276667, -0.03260435052353012, 0.030136572662740946, 0.06201369100131606, -0.08375926227217503, 0.05401433516617901, -0.14042370088788506, 0.12241427121939612, 0.2778132599687167, 0.24458991827023233, 0.21777476094590098, -0.4307966945218105, -0.0308922053561272, 0.1488542234132468, 0.2261893256229586, 0.07017170827534489, 0.014041655088601378, -0.25424119641584364, 0.1152411652546303, -0.08111278842404193, -0.023006977839851936, -0.07558798304914187, 0.11116390413485978, 0.10268584715531152, -0.2669534407574318, -0.07182954399482411, 0.10064858884788026, 0.05040763689241573, -0.00265491035237324, -0.2295364626893299, -0.008559751041306584, 0.10274202544835634, -0.035193035999933876, -0.015343484181143782, -0.02089358723777182, -0.0215258322936921, -0.18661514445043662, 0.3725531028090593, 0.07046702329007173, -0.2289719238840774, 0.10795529953240618, -0.17401848026943922, -0.22330544396833168, 0.17040390547766698, 0.1031025528597335, 0.11061835313654121, -0.08649313370423282, 0.04757564616795885, -0.19353578075328293, 0.1393302366977521, 0.19851714833730869, 0.040101350864906814, 0.20670433042972697, 0.05228383785488047, 0.06560737614099886, 0.2758825667220734, 0.03149029435635563, -0.03059953248456997, -0.27006641030311584, -0.14374457895481849, -0.21736777277078992, 0.03972033108128052, -0.13093357308574852, -0.25666002748424516, 0.32239482334504527, 0.1386749855443543, 0.24166277890988425, 0.19800563344695404, 0.19708441382310554, 0.08129106730213571, 0.07338737195595076, 0.006890806072738533, -0.037955720251535666, 0.13055355432808546, -0.050774824572727084, -0.10738700488582253, 0.03173529038409184, 0.2294914515816844] |
711.4842 | Construction of the discrete breathers and a simple physical
interpretation of their existence | We present a simple numerical method for the discrete breather construction
based on the idea of the pair synchronization of the particles involved in the
breather vibration. It can be used for obtaining exact breather solutions in
nonlinear Hamiltonian lattices of different types. We illustrate the above
method using chains of the coupled Duffng oscillators. With some additional
approximation, the pair synchronization method leads to a very simple physical
interpretation of the existence of the exact breathers as strictly
time-periodic and spatially localized dynamical objects.
| nlin.PS | we present a simple numerical method for the discrete breather construction based on the idea of the pair synchronization of the particles involved in the breather vibration it can be used for obtaining exact breather solutions in nonlinear hamiltonian lattices of different types we illustrate the above method using chains of the coupled duffng oscillators with some additional approximation the pair synchronization method leads to a very simple physical interpretation of the existence of the exact breathers as strictly timeperiodic and spatially localized dynamical objects | [['we', 'present', 'a', 'simple', 'numerical', 'method', 'for', 'the', 'discrete', 'breather', 'construction', 'based', 'on', 'the', 'idea', 'of', 'the', 'pair', 'synchronization', 'of', 'the', 'particles', 'involved', 'in', 'the', 'breather', 'vibration', 'it', 'can', 'be', 'used', 'for', 'obtaining', 'exact', 'breather', 'solutions', 'in', 'nonlinear', 'hamiltonian', 'lattices', 'of', 'different', 'types', 'we', 'illustrate', 'the', 'above', 'method', 'using', 'chains', 'of', 'the', 'coupled', 'duffng', 'oscillators', 'with', 'some', 'additional', 'approximation', 'the', 'pair', 'synchronization', 'method', 'leads', 'to', 'a', 'very', 'simple', 'physical', 'interpretation', 'of', 'the', 'existence', 'of', 'the', 'exact', 'breathers', 'as', 'strictly', 'timeperiodic', 'and', 'spatially', 'localized', 'dynamical', 'objects']] | [-0.19066983775147014, 0.09826393125556587, -0.09045649537195762, 0.07428121619159356, -0.058269306601557345, -0.16594869939061546, 0.038274115432397504, 0.37409088475674035, -0.23651996054243118, -0.2415956791401619, 0.09031968193760674, -0.2147703485652095, -0.19898051706453165, 0.21626172047330156, 0.0343040026436072, 0.06199881541431837, 0.09113576413974875, 0.04753138565103568, -0.032839823458787235, -0.2005880070140674, 0.30209753801491823, -0.012061102881229349, 0.2563987812803437, 0.002347426549975006, 0.11157403955058683, -0.01665152044456807, 0.01974446677957617, -0.029724888636597564, -0.12997583879180075, 0.13139849785338378, 0.20023196606641813, 0.056871331069574114, 0.24625260580796748, -0.44828933342138216, -0.19848798821545816, 0.0942223178377996, 0.18975380443346998, 0.21228887151283699, -0.06053240366773458, -0.3406386750838941, 0.06311540558402028, -0.15109849736715356, -0.19580817085114263, -0.11149728161260664, -0.017765346473121706, 0.11242020152331818, -0.24781113969428198, 0.11608886676064382, 0.07026199870458749, 0.014370198117657787, -0.10429781713035136, -0.03777311870916968, -0.02773999439973739, 0.06828028989756214, 0.0184082375337658, -0.07998996678118904, 0.055759633636279476, -0.0627986107387447, -0.10990818694145196, 0.3830327649955593, -0.07035725531195999, -0.26362522485266837, 0.23915952830187356, -0.040642393226291804, -0.09956964900318001, 0.15898753112248545, 0.15500507199405028, 0.1343925446050153, -0.12997417080069204, 0.03587076367208889, -0.025655415651965, 0.1671485959557772, 0.10136719161112394, 0.055338468164942846, 0.19249841420068628, 0.18156974566989534, 0.08593063885235183, 0.17557850901253655, -0.030220902157625892, -0.14520655569642604, -0.3356270441075876, -0.08172099170354029, -0.1761427632355619, 0.03178619969791422, -0.12301813682989589, -0.21760665566571766, 0.4512764993899812, 0.11444961373317278, 0.14711916605786732, 0.034593500485200254, 0.23613696288140046, 0.17018967153853737, -0.010616484186833813, 0.018081421495437445, 0.2179120882553564, 0.16225034222450285, 0.07984556549871784, -0.26667611965066973, -0.0486845868262684, 0.12985440393233494] |
711.4843 | Network reconstruction based on quasi-steady state data | This note discusses a theoretical issue regarding the application of the
"Modular Response Analysis" method to quasi-steady state (rather than
steady-state) data.
| q-bio.QM | this note discusses a theoretical issue regarding the application of the modular response analysis method to quasisteady state rather than steadystate data | [['this', 'note', 'discusses', 'a', 'theoretical', 'issue', 'regarding', 'the', 'application', 'of', 'the', 'modular', 'response', 'analysis', 'method', 'to', 'quasisteady', 'state', 'rather', 'than', 'steadystate', 'data']] | [-0.1259387486021627, -0.01303442933766002, -0.17405889623544432, 0.09730344550916925, -0.09259121246974576, -0.08735124468380077, 0.10120084018192509, 0.3060838580131531, -0.23962710425257683, -0.3079958321865309, 0.14386668492277915, -0.23874981570142237, -0.1604417170482603, 0.2319530685516921, -0.08534732782705264, 0.10860653628002513, 0.12189453391527588, 0.011563808339732614, -0.09608016544106332, -0.18577181818810376, 0.36031486703590915, 0.09969429447400299, 0.37420823370021855, 0.01809031677178361, 0.025360514499797402, 0.0008679196577180516, -0.054731311784549194, -0.05762966806915673, -0.15422042374583808, 0.16628423278135332, 0.25322188868780027, 0.1290796154432676, 0.3278387436135249, -0.477403887970881, -0.18308254864744164, 0.07064295250033452, 0.14861286638981916, 0.14844458804211833, -0.026854270116680047, -0.21185445377010514, 0.040597826496443966, -0.22255945883013986, -0.22468328442085872, -0.09471544775773179, -0.007939566371285102, -0.07433488905768502, -0.21978542013940486, 0.09142844560979442, 0.10996447115162895, 0.10406139086593282, -0.11037021020258014, -0.10579815451902422, 0.07141016364436258, 0.007623992796817964, 0.11413781353357164, 0.035254715137522326, 0.15102683164348657, -0.14040087522219188, -0.05054678869518367, 0.29325471530583774, -0.02318549832786878, -0.1651359059932557, 0.15845003046772696, -0.10375868939709934, -0.15664140151982958, 0.11269986240023916, 0.15727749170566147, 0.09670748925683173, -0.17744924094189296, -0.011603699340908364, -0.04184617271477526, 0.1913843551142649, 0.0005928725110028278, 0.012985838598317721, 0.14229181917934594, 0.26849637752060185, 0.02416683949360793, 0.1845043281262571, -0.030480877856131305, -0.13511049882932144, -0.2938921774991534, -0.13767502101307566, -0.14252485531720926, 0.10010030641834336, -0.0016962163658304648, -0.1524468465200202, 0.47525604407895694, 0.23536506743932312, 0.14797254236923021, 0.06902235153723847, 0.3695743275298314, 0.09444929790598425, -0.07683629694987427, 0.061254526107487356, 0.22766808555884796, 0.13590947809544476, 0.15645467811687427, -0.21226904456588355, 0.12886057783510874, -0.003029603511095047] |
711.4844 | On the variability of quasars: a link between Eddington ratio and
optical variability? | Repeat scans by the Sloan Digital Sky Survey (SDSS) of a 278 square degree
stripe along the Celestial equator have yielded an average of over 10
observations each for nearly 8,000 spectroscopically confirmed quasars. Over
2500 of these quasars are in the redshift range such that the CIV emission line
is visible in the SDSS spectrum. Utilising the width of these CIV lines and the
luminosity of the nearby continuum, we estimate black hole masses for these
objects. In an effort to isolate the effects of black hole mass and luminosity
on the photometric variability of our dataset, we create several subsamples by
binning in these two physical parameters. By comparing the ensemble structure
functions of the quasars in these bins, we are able to reproduce the well-known
anticorrelation between luminosity and variability, now showing that this
anticorrelation is independent of the black hole mass. In addition, we find a
correlation between variability and the mass of the central black hole. By
combining these two relations, we identify the Eddington ratio as a possible
driver of quasar variability, most likely due to differences in accretion
efficiency.
| astro-ph | repeat scans by the sloan digital sky survey sdss of a 278 square degree stripe along the celestial equator have yielded an average of over 10 observations each for nearly 8000 spectroscopically confirmed quasars over 2500 of these quasars are in the redshift range such that the civ emission line is visible in the sdss spectrum utilising the width of these civ lines and the luminosity of the nearby continuum we estimate black hole masses for these objects in an effort to isolate the effects of black hole mass and luminosity on the photometric variability of our dataset we create several subsamples by binning in these two physical parameters by comparing the ensemble structure functions of the quasars in these bins we are able to reproduce the wellknown anticorrelation between luminosity and variability now showing that this anticorrelation is independent of the black hole mass in addition we find a correlation between variability and the mass of the central black hole by combining these two relations we identify the eddington ratio as a possible driver of quasar variability most likely due to differences in accretion efficiency | [['repeat', 'scans', 'by', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'of', 'a', '278', 'square', 'degree', 'stripe', 'along', 'the', 'celestial', 'equator', 'have', 'yielded', 'an', 'average', 'of', 'over', '10', 'observations', 'each', 'for', 'nearly', '8000', 'spectroscopically', 'confirmed', 'quasars', 'over', '2500', 'of', 'these', 'quasars', 'are', 'in', 'the', 'redshift', 'range', 'such', 'that', 'the', 'civ', 'emission', 'line', 'is', 'visible', 'in', 'the', 'sdss', 'spectrum', 'utilising', 'the', 'width', 'of', 'these', 'civ', 'lines', 'and', 'the', 'luminosity', 'of', 'the', 'nearby', 'continuum', 'we', 'estimate', 'black', 'hole', 'masses', 'for', 'these', 'objects', 'in', 'an', 'effort', 'to', 'isolate', 'the', 'effects', 'of', 'black', 'hole', 'mass', 'and', 'luminosity', 'on', 'the', 'photometric', 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0.012696585587916835, 0.024111580619368182] |
711.4845 | An Overdensity of i-dropouts Among A Population of Excess Field Objects
in the Virgo Cluster | Using a set of deep imaging data obtained by the ACS on the HST shortly after
its deployment, Yan, Windhorst & Cohen (2003) found a large number of
F775W-band dropouts (i-dropouts), which are consistent with being galaxies at
z~6. The surface density of i-dropouts thus derived, however, is an order of
magnitude higher than those subsequent studies found in other deep ACS fields,
including the HUDF. Here we revisit this problem, using both the existing and
the new data. We confirm that the large overdensity of i-dropouts does exist in
this field, and that their optical-to-IR colors are similar to those in the
HUDF. However, we have discovered that the i-dropout overdensity is accompanied
with an even larger excess of faint field objects in this region and its
vicinity. This large excess of field objects is most likely caused by the tidal
``debris'' and/or halo stars related to an interacting galaxy pair in the Virgo
Cluster, M60/NGC4647, which lies several arcminutes away from the region where
the excess is found. This excess population is also red in color, and the red
wing of its color distribution continuously extends to the regime where the
i-dropouts reside. While we still cannot completely rule out the possibility
that the overdensity of i-dropouts might be a genuine large-scale structure of
galaxies at z~6, we prefer the interpretation that most of them are part of the
excess stellar population related to M60/NGC4647. Future spectroscopic work
will be needed to identify the nature of this i-dropout overdensity. (Abridged)
| astro-ph | using a set of deep imaging data obtained by the acs on the hst shortly after its deployment yan windhorst cohen 2003 found a large number of f775wband dropouts idropouts which are consistent with being galaxies at z6 the surface density of idropouts thus derived however is an order of magnitude higher than those subsequent studies found in other deep acs fields including the hudf here we revisit this problem using both the existing and the new data we confirm that the large overdensity of idropouts does exist in this field and that their opticaltoir colors are similar to those in the hudf however we have discovered that the idropout overdensity is accompanied with an even larger excess of faint field objects in this region and its vicinity this large excess of field objects is most likely caused by the tidal debris andor halo stars related to an interacting galaxy pair in the virgo cluster m60ngc4647 which lies several arcminutes away from the region where the excess is found this excess population is also red in color and the red wing of its color distribution continuously extends to the regime where the idropouts reside while we still cannot completely rule out the possibility that the overdensity of idropouts might be a genuine largescale structure of galaxies at z6 we prefer the interpretation that most of them are part of the excess stellar population related to m60ngc4647 future spectroscopic work will be needed to identify the nature of this idropout overdensity abridged | [['using', 'a', 'set', 'of', 'deep', 'imaging', 'data', 'obtained', 'by', 'the', 'acs', 'on', 'the', 'hst', 'shortly', 'after', 'its', 'deployment', 'yan', 'windhorst', 'cohen', '2003', 'found', 'a', 'large', 'number', 'of', 'f775wband', 'dropouts', 'idropouts', 'which', 'are', 'consistent', 'with', 'being', 'galaxies', 'at', 'z6', 'the', 'surface', 'density', 'of', 'idropouts', 'thus', 'derived', 'however', 'is', 'an', 'order', 'of', 'magnitude', 'higher', 'than', 'those', 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711.4846 | Collisional Control of Ground State Polar Molecules and Universal
Dipolar Scattering | We explore the impact of the short range interaction on the scattering of
ground state polar molecules, and study the transition from a weak to strong
dipolar scattering over an experimentally reasonable range of energies and
electric field values. In the strong dipolar limit, the scattering scales with
respect to a dimensionless quantity defined by mass, induced dipole moment, and
collision energy. The scaling has implications for all quantum mechanical
dipolar scattering, and therefore this universal dipolar scaling provides
estimates of scattering cross sections for any dipolar system.
| physics.atom-ph | we explore the impact of the short range interaction on the scattering of ground state polar molecules and study the transition from a weak to strong dipolar scattering over an experimentally reasonable range of energies and electric field values in the strong dipolar limit the scattering scales with respect to a dimensionless quantity defined by mass induced dipole moment and collision energy the scaling has implications for all quantum mechanical dipolar scattering and therefore this universal dipolar scaling provides estimates of scattering cross sections for any dipolar system | [['we', 'explore', 'the', 'impact', 'of', 'the', 'short', 'range', 'interaction', 'on', 'the', 'scattering', 'of', 'ground', 'state', 'polar', 'molecules', 'and', 'study', 'the', 'transition', 'from', 'a', 'weak', 'to', 'strong', 'dipolar', 'scattering', 'over', 'an', 'experimentally', 'reasonable', 'range', 'of', 'energies', 'and', 'electric', 'field', 'values', 'in', 'the', 'strong', 'dipolar', 'limit', 'the', 'scattering', 'scales', 'with', 'respect', 'to', 'a', 'dimensionless', 'quantity', 'defined', 'by', 'mass', 'induced', 'dipole', 'moment', 'and', 'collision', 'energy', 'the', 'scaling', 'has', 'implications', 'for', 'all', 'quantum', 'mechanical', 'dipolar', 'scattering', 'and', 'therefore', 'this', 'universal', 'dipolar', 'scaling', 'provides', 'estimates', 'of', 'scattering', 'cross', 'sections', 'for', 'any', 'dipolar', 'system']] | [-0.19144651415196925, 0.20386454982260396, -0.036123411502392795, 0.08411950146414297, -0.013606633657631888, -0.05914153220576488, 0.009539237845853098, 0.35285093322057615, -0.26000264898175374, -0.29192349129285006, -0.03913466450996401, -0.2692847083195705, -0.04882567160000855, 0.22257494619539517, 0.1205107921215875, 0.05585393421130324, 0.009758112446764822, 0.03369440249728293, -0.06496517842540263, -0.14998537472936072, 0.3443410239309411, 0.08355087890496096, 0.2706161790463904, 0.18292685229839248, 0.07882573379373009, 0.08524790455703624, 0.0924404085804285, 0.013720390111715957, -0.1710680538089946, 0.09610151549250903, 0.17756308122889922, -0.035519996388095686, 0.14800734136422927, -0.40853414010383526, -0.17417963347344828, 0.11640550780099478, 0.13836178004699337, 0.14528436338084497, -0.031112401287166656, -0.29104156649290497, -0.02888536983465945, -0.18848665128462017, -0.14225145782322876, -0.10925968760222365, 0.08318486105550123, 0.07384998061090962, -0.29835003216496925, 0.0796289315383712, 0.04501838292344473, 0.08665961438832297, -0.13463314293502746, -0.09298723852870436, 0.0301106725925241, 0.08499174867756665, 0.08495551203800873, 0.02970240079131062, 0.1580364809329198, -0.1774275238832078, -0.06814269504023039, 0.3784880963238803, -0.10560903304245915, -0.13158544194249605, 0.19335808377416636, -0.19105108312479305, -0.06186889895947057, 0.20738604487004605, 0.18670669188246725, 0.08249863391128284, -0.14761892200278287, 0.10609606781244194, -0.010411077602343126, 0.19783411251211708, 0.06528957461176271, 0.07726916317452295, 0.2571750525914302, 0.17320724722759967, 0.020096344651061703, 0.10347835106817498, -0.15356057411091487, -0.10133602045243606, -0.2929634244541045, -0.10425399061800404, -0.19693070506301327, 0.08018724561605434, -0.1020914581280191, -0.1492949659533968, 0.3208945669043301, 0.14434515909207138, 0.2180820802036165, 0.0469860074702989, 0.27235536665168847, 0.15118293602823873, 0.05335878021485934, 0.017074367686291225, 0.339234228648076, 0.1974340109233956, 0.0766598978701619, -0.3045993470031218, 0.04382022178139199, 0.016147993536750702] |
711.4847 | Supersolid of indirect excitons in electron-hole quantum Hall systems | We investigate the ground state of a balanced electron-hole system in the
quantum Hall regime using mean-field theory and obtain a rich phase diagram as
a function of interlayer distance d and the filling factor within a layer. We
identify an excitonic condensate phase, an excitonic supersolid phase, as well
as uncorrelated Wigner crystal states. We find that balanced electron-hole
system exhibits a supersolid phase a wide range of filling factors, with
different crystal structure ground states. We obtain the ground state stiffness
in the excitonic phases and show that the phase transitions from a uniform
condensate to a supersolid is accompanied by a marked change in the stiffness.
Our results provide the first semi-quantitative determination excitonic
supersolid phase diagram and properties.
| cond-mat.mes-hall cond-mat.other | we investigate the ground state of a balanced electronhole system in the quantum hall regime using meanfield theory and obtain a rich phase diagram as a function of interlayer distance d and the filling factor within a layer we identify an excitonic condensate phase an excitonic supersolid phase as well as uncorrelated wigner crystal states we find that balanced electronhole system exhibits a supersolid phase a wide range of filling factors with different crystal structure ground states we obtain the ground state stiffness in the excitonic phases and show that the phase transitions from a uniform condensate to a supersolid is accompanied by a marked change in the stiffness our results provide the first semiquantitative determination excitonic supersolid phase diagram and properties | [['we', 'investigate', 'the', 'ground', 'state', 'of', 'a', 'balanced', 'electronhole', 'system', 'in', 'the', 'quantum', 'hall', 'regime', 'using', 'meanfield', 'theory', 'and', 'obtain', 'a', 'rich', 'phase', 'diagram', 'as', 'a', 'function', 'of', 'interlayer', 'distance', 'd', 'and', 'the', 'filling', 'factor', 'within', 'a', 'layer', 'we', 'identify', 'an', 'excitonic', 'condensate', 'phase', 'an', 'excitonic', 'supersolid', 'phase', 'as', 'well', 'as', 'uncorrelated', 'wigner', 'crystal', 'states', 'we', 'find', 'that', 'balanced', 'electronhole', 'system', 'exhibits', 'a', 'supersolid', 'phase', 'a', 'wide', 'range', 'of', 'filling', 'factors', 'with', 'different', 'crystal', 'structure', 'ground', 'states', 'we', 'obtain', 'the', 'ground', 'state', 'stiffness', 'in', 'the', 'excitonic', 'phases', 'and', 'show', 'that', 'the', 'phase', 'transitions', 'from', 'a', 'uniform', 'condensate', 'to', 'a', 'supersolid', 'is', 'accompanied', 'by', 'a', 'marked', 'change', 'in', 'the', 'stiffness', 'our', 'results', 'provide', 'the', 'first', 'semiquantitative', 'determination', 'excitonic', 'supersolid', 'phase', 'diagram', 'and', 'properties']] | [-0.19493071671163084, 0.2592535282880713, -0.11562744040160486, 0.03107760339063119, 0.01902318697854052, -0.10781747532519893, 0.16401979254012866, 0.38567850019660643, -0.24306971854606613, -0.23459198037505943, -0.012680624938974554, -0.2617308864079904, -0.17198414115815377, 0.09463259939592882, 0.06611720665900006, 0.026298100189840207, 0.017262243738275816, -0.03509894137239259, -0.14463131187376796, -0.1689913818502005, 0.3199843937477677, -0.05335577704168887, 0.30205344146148105, 0.08303082472889027, 0.06721999001933536, -0.022070574013088814, 0.1504670647354644, 0.016061349512367953, -0.2102184391922373, -0.026668927946211923, 0.2621343993929169, -0.07273929243998938, 0.18324207603648976, -0.3785355712867296, -0.20025885078796477, 0.05561254226572079, 0.12857361546083979, 0.20778109653486457, -0.05230042927795411, -0.35052293826077807, -0.018029570716937057, -0.23815932143174234, -0.14997592126782677, -0.1366579510866985, -0.0016446572529976485, -0.008854556943244133, -0.23533752316954454, 0.12170890804960346, 0.028345937990453703, 0.049693399072685815, -0.12208184907899895, -0.1167712808514136, -0.06121250722160349, 0.10115747290785562, -0.05703697268293834, 0.08904503007537731, 0.10819834708446087, -0.20226965007204256, -0.11087936059129043, 0.39211089259870424, -0.06222724698896169, -0.07547159199068537, 0.1366350213676447, -0.16601939049187273, -0.03901939079180726, 0.1947707212110218, 0.10370375244920219, 0.046745775420157634, -0.04858716491077355, 0.003446153368892484, -0.040488580989910934, 0.27156229811857957, -0.003486049874899451, 0.11187780904965322, 0.23231801735695268, 0.22097009586811553, 0.06658794701320776, 0.2339973515682075, -0.09862004613244264, -0.14112742441767429, -0.27115961602415706, -0.18675593110412114, -0.23933242472674943, 0.0220862559775715, -0.0793168003414185, -0.23793444929827676, 0.43166176898435493, 0.056831355766797834, 0.23024808883392175, -0.055070846020931104, 0.21218764514769198, 0.12959176458639748, -0.01009369537722869, -0.0029072458540913876, 0.2609598757012091, 0.17029365547550995, 0.08020506399973738, -0.28793925779192237, 0.04461573773888169, 0.07495578524244369] |
711.4848 | Corotation Resonance and Diskoseismology Modes of Black Hole Accretion
Disks | We demonstrate that the corotation resonance affects only some
non-axisymmetric g-mode oscillations of thin accretion disks, since it is
located within their capture zones. Using a more general (weaker radial WKB
approximation) formulation of the governing equations, such g-modes, treated as
perfect fluid perturbations, are shown to formally diverge at the position of
the corotation resonance. A small amount of viscosity adds a small imaginary
part to the eigenfrequency which has been shown to induce a secular instability
(mode growth) if it acts hydrodynamically. The g-mode corotation resonance
divergence disappears, but the mode magnitude can remain largest at the place
of the corotation resonance. For the known g-modes with moderate values of the
radial mode number and axial mode number (and any vertical mode number), the
corotation resonance lies well outside their trapping region (and inside the
innermost stable circular orbit), so the observationally relevant modes are
unaffected by the resonance. The axisymmetric g-mode has been seen by Reynolds
& Miller in a recent inviscid hydrodynamic accretion disk global numerical
simulation. We also point out that the g-mode eigenfrequencies are
approximately proportional to m for axial mode numbers |m|>0.
| astro-ph gr-qc | we demonstrate that the corotation resonance affects only some nonaxisymmetric gmode oscillations of thin accretion disks since it is located within their capture zones using a more general weaker radial wkb approximation formulation of the governing equations such gmodes treated as perfect fluid perturbations are shown to formally diverge at the position of the corotation resonance a small amount of viscosity adds a small imaginary part to the eigenfrequency which has been shown to induce a secular instability mode growth if it acts hydrodynamically the gmode corotation resonance divergence disappears but the mode magnitude can remain largest at the place of the corotation resonance for the known gmodes with moderate values of the radial mode number and axial mode number and any vertical mode number the corotation resonance lies well outside their trapping region and inside the innermost stable circular orbit so the observationally relevant modes are unaffected by the resonance the axisymmetric gmode has been seen by reynolds miller in a recent inviscid hydrodynamic accretion disk global numerical simulation we also point out that the gmode eigenfrequencies are approximately proportional to m for axial mode numbers m0 | [['we', 'demonstrate', 'that', 'the', 'corotation', 'resonance', 'affects', 'only', 'some', 'nonaxisymmetric', 'gmode', 'oscillations', 'of', 'thin', 'accretion', 'disks', 'since', 'it', 'is', 'located', 'within', 'their', 'capture', 'zones', 'using', 'a', 'more', 'general', 'weaker', 'radial', 'wkb', 'approximation', 'formulation', 'of', 'the', 'governing', 'equations', 'such', 'gmodes', 'treated', 'as', 'perfect', 'fluid', 'perturbations', 'are', 'shown', 'to', 'formally', 'diverge', 'at', 'the', 'position', 'of', 'the', 'corotation', 'resonance', 'a', 'small', 'amount', 'of', 'viscosity', 'adds', 'a', 'small', 'imaginary', 'part', 'to', 'the', 'eigenfrequency', 'which', 'has', 'been', 'shown', 'to', 'induce', 'a', 'secular', 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711.4849 | Bi-Hamiltonian Structure in Serret-Frenet Frame | We reduced the problem of constructing bi-Hamiltonian structure in three
dimensions to the solution of a Riccati equation in moving coordinates of
Serret-Frenet frame. We then show that either the linearly independent
solutions of the corresponding second order equation or the normal vectors of
the moving frame imply two compatible Poisson structures.
| math-ph math.MP | we reduced the problem of constructing bihamiltonian structure in three dimensions to the solution of a riccati equation in moving coordinates of serretfrenet frame we then show that either the linearly independent solutions of the corresponding second order equation or the normal vectors of the moving frame imply two compatible poisson structures | [['we', 'reduced', 'the', 'problem', 'of', 'constructing', 'bihamiltonian', 'structure', 'in', 'three', 'dimensions', 'to', 'the', 'solution', 'of', 'a', 'riccati', 'equation', 'in', 'moving', 'coordinates', 'of', 'serretfrenet', 'frame', 'we', 'then', 'show', 'that', 'either', 'the', 'linearly', 'independent', 'solutions', 'of', 'the', 'corresponding', 'second', 'order', 'equation', 'or', 'the', 'normal', 'vectors', 'of', 'the', 'moving', 'frame', 'imply', 'two', 'compatible', 'poisson', 'structures']] | [-0.17903510303985254, 0.06542332209966273, -0.0631758708794437, 0.0031362567051295555, -0.08006380697456646, -0.11382411219585943, -0.018339392104797868, 0.3416205356354077, -0.35808661265992653, -0.21756614367568902, 0.10295882319355858, -0.2794588619441378, -0.13749841328107698, 0.13246160270372295, -0.011501285904908882, 0.04268359368228737, 0.0652214535466377, 0.10199044611049342, -0.1543846300520076, -0.2496957384625121, 0.39826947611336616, -0.03554914657976113, 0.26993884120647815, -0.11777819823656305, 0.20614459139167093, -0.02705242881076593, -0.0436163425956871, 0.05041944581613529, -0.09607974931157728, 0.1284431957927368, 0.19908881024914046, 0.0781072610588322, 0.20728658815827586, -0.42720600159144867, -0.14280149026536473, 0.08862194933873765, 0.17732118389697052, 0.11761210478988349, -0.014471768465477462, -0.2769187971146083, 0.0884814122326526, -0.1233044148367994, -0.22819368493761502, -0.008089849323618645, 0.0005233096068396288, 0.05895480393048595, -0.23759158209135173, 0.09711342409033985, 0.09089472878943472, -0.03472273939234369, -0.18602728549683212, -0.07400152655135767, -0.03328698704603548, 0.052031482455740664, 0.045933274963103676, 0.002273214725302715, 0.0434294740832639, -0.10680617802940748, -0.11119522699428831, 0.4135722706423086, -0.07226229840022165, -0.3316523339599371, 0.15556762783842928, -0.1340409528244944, -0.12563945911824703, 0.1292841356868545, 0.1621270542781727, 0.1369425436372266, -0.14633518791707306, 0.08888508372154891, -0.060991640745972596, 0.1684823924602539, 0.14136728123926065, -0.029644857845543063, 0.13742266401794612, 0.11276768242903784, 0.09982924172472135, 0.0939795804830889, -0.030222348932761187, -0.1410346025847556, -0.36035432966024267, -0.19367808222259378, -0.13842449235894225, 0.05794157938776063, -0.153077181236928, -0.17053537295364282, 0.39440501232941944, 0.10816837189828649, 0.20767819852221245, 0.029756701167892006, 0.2266405102815114, 0.1827763033044689, 0.008421439166162527, 0.10756690285223372, 0.18406211745505238, 0.14489450321678876, 0.061413807018349566, -0.1974387190666497, -0.03232819355987743, 0.14127890553836728] |
711.485 | Dark Matter and Baryons in the Most X-ray Luminous and Merging Galaxy
Cluster RX J1347.5-1145 | The galaxy cluster RX J1347-1145 is one of the most X-ray luminous and most
massive clusters known. Its extreme mass makes it a prime target for studying
issues addressing cluster formation and cosmology. In this paper we present new
high-resolution HST/ACS and Chandra X-ray data. The high resolution and
sensitivity of ACS enabled us to detect and quantify several new multiply
imaged sources, we now use a total of eight for the strong lensing analysis.
Combining this information with shape measurements of weak lensing sources in
the central regions of the cluster, we derive a high-resolution,
absolutely-calibrated mass map. This map provides the best available
quantification of the total mass of the central part of the cluster to date. We
compare the reconstructed mass with that inferred from the new Chandra X-ray
data, and conclude that both mass estimates agree extremely well in the
observed region, namely within 400 / h_70 kpc of the cluster center. In
addition we study the major baryonic components (gas and stars) and hence
derive the dark matter distribution in the center of the cluster. We find that
the dark matter and baryons are both centered on the BCG within the
uncertainties (alignment is better than <10 kpc). We measure the corresponding
1-D profiles and find that dark matter distribution is consistent with both NFW
and cored profiles, indicating that a more extended radial analysis is needed
to pinpoint the concentration parameter, and hence the inner slope of the dark
matter profile.
| astro-ph | the galaxy cluster rx j13471145 is one of the most xray luminous and most massive clusters known its extreme mass makes it a prime target for studying issues addressing cluster formation and cosmology in this paper we present new highresolution hstacs and chandra xray data the high resolution and sensitivity of acs enabled us to detect and quantify several new multiply imaged sources we now use a total of eight for the strong lensing analysis combining this information with shape measurements of weak lensing sources in the central regions of the cluster we derive a highresolution absolutelycalibrated mass map this map provides the best available quantification of the total mass of the central part of the cluster to date we compare the reconstructed mass with that inferred from the new chandra xray data and conclude that both mass estimates agree extremely well in the observed region namely within 400 h_70 kpc of the cluster center in addition we study the major baryonic components gas and stars and hence derive the dark matter distribution in the center of the cluster we find that the dark matter and baryons are both centered on the bcg within the uncertainties alignment is better than 10 kpc we measure the corresponding 1d profiles and find that dark matter distribution is consistent with both nfw and cored profiles indicating that a more extended radial analysis is needed to pinpoint the concentration parameter and hence the inner slope of the dark matter profile | [['the', 'galaxy', 'cluster', 'rx', 'j13471145', 'is', 'one', 'of', 'the', 'most', 'xray', 'luminous', 'and', 'most', 'massive', 'clusters', 'known', 'its', 'extreme', 'mass', 'makes', 'it', 'a', 'prime', 'target', 'for', 'studying', 'issues', 'addressing', 'cluster', 'formation', 'and', 'cosmology', 'in', 'this', 'paper', 'we', 'present', 'new', 'highresolution', 'hstacs', 'and', 'chandra', 'xray', 'data', 'the', 'high', 'resolution', 'and', 'sensitivity', 'of', 'acs', 'enabled', 'us', 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711.4851 | A mapping between Lorentz-violating and conventional electrodynamics | The Chern-Simons-type term in the photon sector of the Lorentz- and
CPT-breaking minimal Standard-Model Extension (mSME) is considered. It is
argued that under certain circumstances this term can be removed from the mSME.
In particular, it is demonstrated that for lightlike Lorentz violation a field
redefinition exists that maps the on-shell free Chern-Simons model to
conventional on-shell free electrodynamics. A compact explicit expression for
an operator implementing such a mapping is constructed. This expression
establishes that the field redefinition is non-local.
| hep-th | the chernsimonstype term in the photon sector of the lorentz and cptbreaking minimal standardmodel extension msme is considered it is argued that under certain circumstances this term can be removed from the msme in particular it is demonstrated that for lightlike lorentz violation a field redefinition exists that maps the onshell free chernsimons model to conventional onshell free electrodynamics a compact explicit expression for an operator implementing such a mapping is constructed this expression establishes that the field redefinition is nonlocal | [['the', 'chernsimonstype', 'term', 'in', 'the', 'photon', 'sector', 'of', 'the', 'lorentz', 'and', 'cptbreaking', 'minimal', 'standardmodel', 'extension', 'msme', 'is', 'considered', 'it', 'is', 'argued', 'that', 'under', 'certain', 'circumstances', 'this', 'term', 'can', 'be', 'removed', 'from', 'the', 'msme', 'in', 'particular', 'it', 'is', 'demonstrated', 'that', 'for', 'lightlike', 'lorentz', 'violation', 'a', 'field', 'redefinition', 'exists', 'that', 'maps', 'the', 'onshell', 'free', 'chernsimons', 'model', 'to', 'conventional', 'onshell', 'free', 'electrodynamics', 'a', 'compact', 'explicit', 'expression', 'for', 'an', 'operator', 'implementing', 'such', 'a', 'mapping', 'is', 'constructed', 'this', 'expression', 'establishes', 'that', 'the', 'field', 'redefinition', 'is', 'nonlocal']] | [-0.17873649589018897, 0.17957338852156682, -0.07997036954620854, 0.12562139422952895, -0.11286809870507568, -0.16164450953365303, -0.03432708029868081, 0.3198985956434626, -0.22725946044083684, -0.22269582336302846, 0.031234319307259284, -0.24773045424954035, -0.18587832401972265, 0.1685392528626835, -0.06025753585781786, 0.016446084657218307, 0.00866240305476822, 0.08164176311111078, -0.07638680799864232, -0.1787970630757627, 0.313561985315755, 0.04239585831528529, 0.27608190934406596, 0.07302855613743305, 0.17797475912084337, 0.014432991622015834, -0.004468005703529343, 0.016048046515788884, -0.060854210304751175, 0.0705204434460029, 0.19471576045107214, 0.11040393215953373, 0.16726370211690664, -0.38007314713904633, -0.24998781156027688, 0.12128714260179549, 0.11559127657674254, 0.11808009356027468, -0.05485589129675646, -0.28473822404630483, 0.01866975242155604, -0.22209471634123473, -0.14494648344407324, -0.10901288541499525, 0.02149169310287107, -0.1557531763392035, -0.3225678796879947, 0.06015915743773803, 0.035368667042348534, 0.030577981230453587, -0.03386943691875786, -0.018957664718618615, -0.007844065071549267, 0.059091645019361747, 0.13376781038969057, 0.12263813408790156, 0.13916125728283077, -0.16622128809394782, -0.07120890940423123, 0.4064541530329734, -0.13586297000874764, -0.2950551046989858, 0.10181991666322573, -0.11207713250769302, -0.14546769730368397, 0.09434757029957837, 0.02125223902403377, 0.08634399166330695, -0.23475758371641858, 0.2329211813157599, -0.10405223503476009, 0.13569435123354195, 0.09262128939153627, 0.014299994939938188, 0.16980240857228637, 0.07454905613267329, 0.09505944949924014, 0.12942447391542372, 0.003006577235646546, -0.0948086649295874, -0.47811351865530016, -0.1885979873710312, -0.14339746574405582, 0.10751112383441068, -0.09745783531670896, -0.15374091749545188, 0.3356081342906691, 0.13477984587370884, 0.08680081146303564, 0.03409867892041803, 0.2728132298958371, 0.20140556348196698, 0.16271863436559214, 0.04635270132566802, 0.27612430549852435, 0.12534906391520054, 0.027306185429915787, -0.23081837551508216, -0.03429330040380592, 0.14751424920978023] |
711.4852 | Towards an interoperable International Lattice Datagrid | The International Lattice Datagrid (ILDG) is a federation of several regional
grids. Since most of these grids have reached production level, an increasing
number of lattice scientists start to benefit from this new research
infrastructure. The ILDG Middleware Working Group has the task of specifying
the ILDG middleware such that interoperability among the different grids is
achieved. In this paper we will present the architecture of the ILDG middleware
and describe what has actually been achieved in recent years. Particular focus
is given to interoperability and security issues. We will conclude with a short
overview on issues which we plan to address in the near future.
| hep-lat | the international lattice datagrid ildg is a federation of several regional grids since most of these grids have reached production level an increasing number of lattice scientists start to benefit from this new research infrastructure the ildg middleware working group has the task of specifying the ildg middleware such that interoperability among the different grids is achieved in this paper we will present the architecture of the ildg middleware and describe what has actually been achieved in recent years particular focus is given to interoperability and security issues we will conclude with a short overview on issues which we plan to address in the near future | [['the', 'international', 'lattice', 'datagrid', 'ildg', 'is', 'a', 'federation', 'of', 'several', 'regional', 'grids', 'since', 'most', 'of', 'these', 'grids', 'have', 'reached', 'production', 'level', 'an', 'increasing', 'number', 'of', 'lattice', 'scientists', 'start', 'to', 'benefit', 'from', 'this', 'new', 'research', 'infrastructure', 'the', 'ildg', 'middleware', 'working', 'group', 'has', 'the', 'task', 'of', 'specifying', 'the', 'ildg', 'middleware', 'such', 'that', 'interoperability', 'among', 'the', 'different', 'grids', 'is', 'achieved', 'in', 'this', 'paper', 'we', 'will', 'present', 'the', 'architecture', 'of', 'the', 'ildg', 'middleware', 'and', 'describe', 'what', 'has', 'actually', 'been', 'achieved', 'in', 'recent', 'years', 'particular', 'focus', 'is', 'given', 'to', 'interoperability', 'and', 'security', 'issues', 'we', 'will', 'conclude', 'with', 'a', 'short', 'overview', 'on', 'issues', 'which', 'we', 'plan', 'to', 'address', 'in', 'the', 'near', 'future']] | [-0.16128123804865369, 0.05897764979879798, -0.05147907628133049, 0.007401165136197617, -0.10227990670586531, -0.10978088736147532, 0.03978089663916144, 0.4131152234479504, -0.24903999463729737, -0.32640404812552315, 0.1447115221361735, -0.2718707593838807, -0.09694733790490988, 0.1909481785435862, -0.11593881984821187, 0.0498643203634101, 0.10390251653514943, 0.004085831989903214, -0.04344564449824041, -0.3078496105758087, 0.31726969950744566, 0.11041524689996017, 0.32580294762298745, 0.14570233393636234, 0.04914144097985524, -0.05282643263421531, -0.08935772613699126, -0.021465604856856307, -0.10418202011756224, 0.20109552528955182, 0.3308568438515067, 0.2182334462940728, 0.3418270634170973, -0.4699876155739404, -0.1750094514803627, 0.06944469661223439, 0.14859914149043485, 0.07573285558643171, -0.04431890904187348, -0.26231135061573024, 0.08246154585284321, -0.25951808882560934, -0.12825070885625087, -0.056711980043542526, -0.0025491536911225543, 0.0305322780952578, -0.1929883887850732, -0.0954273211383173, -0.010455602049299862, 0.14187006530448584, 0.01124410116649672, -0.11879407802491256, 0.003974146820288503, 0.18144611716006864, 0.025852927966658376, 0.039088748280400466, 0.09716864965223479, -0.13193091615278907, -0.15164641035228688, 0.3973129601305667, 0.032673209404818854, -0.13177335044404245, 0.17593091683251397, -0.10928997300776108, -0.2356198768983683, 0.00656773160510468, 0.22157264902379434, 0.025362245250879874, -0.2150561624944632, 0.09480507735641813, -0.019633318429355912, 0.16893259566584778, 0.0502229365058911, 0.013274976164366136, 0.24100337736308575, 0.3074171427386936, 0.09276865388679686, 0.09358886379818872, -0.026642087326420226, -0.11087868755402149, -0.22879264848131053, -0.11169705683154599, -0.13777234308632477, -0.0041042251582696756, -0.011183873244796283, -0.13866130046476172, 0.3887349782546736, 0.23652035902025845, 0.10853416372512309, 0.003700442944119579, 0.3188472294318929, 0.03907026964424284, 0.10689608404799453, 0.09357055348183801, 0.18228764787650192, -0.012443401279665952, 0.2086116096909808, -0.14297942558241972, 0.030649789702366897, 0.03472786731930133] |
711.4853 | A formula for the R-matrix using a system of weight preserving
endomorphisms | We give a formula for the universal R-matrix of the quantized universal
enveloping algebra $U_q(\g).$ This is similar to a previous formula due to
Kirillov-Reshetikhin and Levendorskii-Soibelman, except that where they use the
action of the braid group element $T_{w_0}$ on each representation, we show
that one can instead use a system of weight preserving endomorphisms. One
advantage of our construction is that it is well defined for all symmetrizable
Kac-Moody algebras. However we have only established that the result in equal
to the universal R-matrix in finite type.
| math.RT math.QA | we give a formula for the universal rmatrix of the quantized universal enveloping algebra u_qg this is similar to a previous formula due to kirillovreshetikhin and levendorskiisoibelman except that where they use the action of the braid group element t_w_0 on each representation we show that one can instead use a system of weight preserving endomorphisms one advantage of our construction is that it is well defined for all symmetrizable kacmoody algebras however we have only established that the result in equal to the universal rmatrix in finite type | [['we', 'give', 'a', 'formula', 'for', 'the', 'universal', 'rmatrix', 'of', 'the', 'quantized', 'universal', 'enveloping', 'algebra', 'u_qg', 'this', 'is', 'similar', 'to', 'a', 'previous', 'formula', 'due', 'to', 'kirillovreshetikhin', 'and', 'levendorskiisoibelman', 'except', 'that', 'where', 'they', 'use', 'the', 'action', 'of', 'the', 'braid', 'group', 'element', 't_w_0', 'on', 'each', 'representation', 'we', 'show', 'that', 'one', 'can', 'instead', 'use', 'a', 'system', 'of', 'weight', 'preserving', 'endomorphisms', 'one', 'advantage', 'of', 'our', 'construction', 'is', 'that', 'it', 'is', 'well', 'defined', 'for', 'all', 'symmetrizable', 'kacmoody', 'algebras', 'however', 'we', 'have', 'only', 'established', 'that', 'the', 'result', 'in', 'equal', 'to', 'the', 'universal', 'rmatrix', 'in', 'finite', 'type']] | [-0.13048817873376803, 0.06576779048720544, -0.0940230717586184, 0.026507634090111507, -0.1330368913900615, -0.17729943614474244, -0.00406845167956569, 0.35553733445703983, -0.31711301897567784, -0.18981429845602674, 0.10884011487095532, -0.21919132680208844, -0.16570630178532816, 0.22494162231768397, -0.1325994496318427, -0.016918691256168215, 0.05338470422429964, 0.15343447671859228, -0.118167612385481, -0.25429119817933743, 0.3800098412797194, 0.008010647854958237, 0.27818007465578953, 0.01785742452987258, 0.14169528517893262, 0.007989017599770292, 0.020277972068552943, -0.030280735055302186, -0.10559635630720136, 0.12117422952327285, 0.29003339512696996, 0.06009675453903831, 0.1753212175998752, -0.3530545660125261, -0.13425411016975308, 0.143850125155454, 0.17202679054621098, 0.11017219090453265, -0.04194243281513495, -0.2077196182323281, 0.12848883209120354, -0.27599941232686187, -0.11554817967540161, -0.07807621641338548, 0.06832968759011816, -0.04336278266088233, -0.22662956968203865, 0.016535335193938492, 0.0990859518391186, 0.06264523971053264, -0.09999296299330043, -0.12041896886313969, -0.027833113372749227, 0.1392063260321844, -0.0672888439651367, 0.02004032648718831, 0.09708251018309966, -0.08819359008339234, -0.13565453241409903, 0.38973133804657584, -0.030013285615661352, -0.2316665432034907, 0.14171564313900573, -0.2008022485322065, -0.18316347856836562, 0.09001503729219125, 0.036368581633062357, 0.11428412531015718, -0.05269065118310126, 0.14947988427262648, -0.1516915027009831, 0.07873985332182863, 0.04977695688880472, 0.015376831320199099, 0.10602183878125454, 0.06372370016337796, 0.034616317084080285, 0.1243110949342901, 0.04473721952738494, -0.06988084082893858, -0.3587525388733907, -0.21851222813215412, -0.16618365938484203, 0.10797825344541873, -0.07002288122666042, -0.197167893871665, 0.38710554472874553, 0.1513261642804454, 0.19821041787905747, 0.10257130687783832, 0.2170464924367314, 0.14910369395643516, 0.19285623034441166, 0.06060458455679261, 0.15406167464838785, 0.1914163326886906, -0.020122859875713897, -0.1885273662734438, -0.00032822263198216785, 0.21941849259151655] |
711.4854 | Statefinder diagnostic for cosmology with the abnormally weighting
energy hypothesis | In this paper, we apply the statefinder diagnostic to the cosmology with the
Abnormally Weighting Energy hypothesis (AWE cosmology), in which dark energy in
the observational (ordinary matter) frame results from the violation of weak
equivalence principle (WEP) by pressureless matter. It is found that there
exist closed loops in the statefinder plane, which is an interesting
characteristic of the evolution trajectories of statefinder parameters and can
be used to distinguish AWE cosmology from the other cosmological models.
| astro-ph | in this paper we apply the statefinder diagnostic to the cosmology with the abnormally weighting energy hypothesis awe cosmology in which dark energy in the observational ordinary matter frame results from the violation of weak equivalence principle wep by pressureless matter it is found that there exist closed loops in the statefinder plane which is an interesting characteristic of the evolution trajectories of statefinder parameters and can be used to distinguish awe cosmology from the other cosmological models | [['in', 'this', 'paper', 'we', 'apply', 'the', 'statefinder', 'diagnostic', 'to', 'the', 'cosmology', 'with', 'the', 'abnormally', 'weighting', 'energy', 'hypothesis', 'awe', 'cosmology', 'in', 'which', 'dark', 'energy', 'in', 'the', 'observational', 'ordinary', 'matter', 'frame', 'results', 'from', 'the', 'violation', 'of', 'weak', 'equivalence', 'principle', 'wep', 'by', 'pressureless', 'matter', 'it', 'is', 'found', 'that', 'there', 'exist', 'closed', 'loops', 'in', 'the', 'statefinder', 'plane', 'which', 'is', 'an', 'interesting', 'characteristic', 'of', 'the', 'evolution', 'trajectories', 'of', 'statefinder', 'parameters', 'and', 'can', 'be', 'used', 'to', 'distinguish', 'awe', 'cosmology', 'from', 'the', 'other', 'cosmological', 'models']] | [-0.09813169079522292, 0.11196429169164428, -0.15230747860578747, 0.18690589589263815, -0.08892930167703292, -0.17276090474273914, -0.059934901466103606, 0.2837676279342327, -0.2670563926968055, -0.3353407508992136, 0.017960909873438187, -0.22578478390828538, -0.05550127410186598, 0.2027422530660167, -0.012996329973714475, 0.02470268392099593, 0.029756829930612676, 0.027749415164670117, -0.024190558350453965, -0.2714159104686517, 0.3546563986903773, 0.07921904076535541, 0.2495107578945, -0.019381831280696087, 0.08186613071339731, -0.09100047321631931, -0.03409580647563323, 0.06770385936714518, -0.21924566585342595, 0.020005409116259754, 0.2515699848171584, 0.21666221086604473, 0.18083033713404661, -0.37040245967494767, -0.2517603854051767, 0.20815335204586005, 0.1522147670889703, 0.0983552065743611, -0.04627012282323379, -0.286841572345927, 0.021553747976819675, -0.18064613081514835, -0.11374817852480099, -0.01845451919003748, -0.005047049982329974, -0.007356718724342779, -0.22609529360078084, 0.1286467507433815, -0.03597131311797943, -0.04881425493229658, -0.09682436412176451, -0.026710729234111615, 0.0008383141591762885, 0.0412189033604824, 0.12545363021751818, 0.03341939539099351, 0.096158138780783, -0.1400831819135839, -0.06688899663873972, 0.43070774119442856, -0.09977996623955476, -0.17040674259456304, 0.17513630523656806, -0.12531101316488227, -0.18058430178998372, 0.052098903769197374, 0.09086090898236786, 0.03651621750293252, -0.1540352045916594, 0.1435792505829177, -0.00852386025377573, 0.16680497972246927, 0.07920547657144758, -0.03811282169623061, 0.31283204064656717, 0.11616894320990795, 0.0030138612342759585, 0.05542595297895157, -0.0951529582305692, -0.07518484010599935, -0.3945871326021659, -0.1720886735532146, -0.1276235103395242, 0.024735681911130458, -0.1367389825588758, -0.1551406912219066, 0.3598915352127873, 0.1811626482910166, 0.12559707495622718, -0.0009229141138255214, 0.31120970237474793, 0.06542424315240425, 0.030389209148080017, 0.06166094702740128, 0.3620300990027877, 0.13236148176917759, 0.10631555725987522, -0.23251028293191503, 0.01757928210262878, 0.04751204469432242] |
711.4855 | Reddening, Colour and Metallicity of the M31 Globular Cluster System | Using metallicities from the literature, combined with the Revised Bologna
Catalogue of photometric data for M31 clusters and cluster candidates (the
latter of which is the most comprehensive catalogue of M31 clusters currently
available, including 337 confirmed globular clusters -- GCs -- and 688 GC
candidates), we determine 443 reddening values and intrinsic colours, and 209
metallicities for individual clusters without spectroscopic observations. This,
the largest sample of M31 GCs presently available, is then used to analyse the
metallicity distribution of M31 GCs, which is bimodal with peaks at $\rm
{[Fe/H]}\approx -1.7$ and -0.7 dex. An exploration of metallicities as a
function of radius from the M31 centre shows a metallicity gradient for the
metal-poor GCs, but no such gradient for the metal-rich GCs. Our results show
that the metal-rich clusters appear as a centrally concentrated spatial
distribution; however, the metal-poor clusters tend to be less spatially
concentrated. There is no correlation between luminosity and metallicity among
the M31 sample clusters, which indicates that self-enrichment is indeed
unimportant for cluster formation in M31. The reddening distribution shows that
slightly more than half of the GCs are affected by a reddening of $E(B-V) \la
0.2$ mag; the mean reddening value is $E(B-V) = 0.28_{-0.14}^{+0.23}$ mag. The
spatial distribution of the reddening values indicates that the reddening on
the northwestern side of the M31 disc is more significant than that on the
southeastern side, which is consistent with the conclusion that the
northwestern side in nearer to us.
| astro-ph | using metallicities from the literature combined with the revised bologna catalogue of photometric data for m31 clusters and cluster candidates the latter of which is the most comprehensive catalogue of m31 clusters currently available including 337 confirmed globular clusters gcs and 688 gc candidates we determine 443 reddening values and intrinsic colours and 209 metallicities for individual clusters without spectroscopic observations this the largest sample of m31 gcs presently available is then used to analyse the metallicity distribution of m31 gcs which is bimodal with peaks at rm fehapprox 17 and 07 dex an exploration of metallicities as a function of radius from the m31 centre shows a metallicity gradient for the metalpoor gcs but no such gradient for the metalrich gcs our results show that the metalrich clusters appear as a centrally concentrated spatial distribution however the metalpoor clusters tend to be less spatially concentrated there is no correlation between luminosity and metallicity among the m31 sample clusters which indicates that selfenrichment is indeed unimportant for cluster formation in m31 the reddening distribution shows that slightly more than half of the gcs are affected by a reddening of ebv la 02 mag the mean reddening value is ebv 028_014023 mag the spatial distribution of the reddening values indicates that the reddening on the northwestern side of the m31 disc is more significant than that on the southeastern side which is consistent with the conclusion that the northwestern side in nearer to us | [['using', 'metallicities', 'from', 'the', 'literature', 'combined', 'with', 'the', 'revised', 'bologna', 'catalogue', 'of', 'photometric', 'data', 'for', 'm31', 'clusters', 'and', 'cluster', 'candidates', 'the', 'latter', 'of', 'which', 'is', 'the', 'most', 'comprehensive', 'catalogue', 'of', 'm31', 'clusters', 'currently', 'available', 'including', '337', 'confirmed', 'globular', 'clusters', 'gcs', 'and', '688', 'gc', 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711.4856 | Habitable Climates | According to the standard liquid-water definition, the Earth is only
partially habitable. We reconsider planetary habitability in the framework of
energy-balance models, the simplest seasonal models in physical climatology, to
assess the spatial and temporal habitability of Earth-like planets. We quantify
the degree of climatic habitability of our models with several metrics of
fractional habitability. Previous evaluations of habitable zones may have
omitted important climatic conditions by focusing on close Solar System
analogies. For example, we find that model pseudo-Earths with different
rotation rates or different land-ocean fractions have fractional habitabilities
that differ significantly from that of the Earth itself. Furthermore, the
stability of a planet's climate against albedo-feedback snowball events
strongly impacts its habitability. Therefore, issues of climate dynamics may be
central in assessing the habitability of discovered terrestrial exoplanets,
especially if astronomical forcing conditions are different from the moderate
Solar System cases.
| astro-ph | according to the standard liquidwater definition the earth is only partially habitable we reconsider planetary habitability in the framework of energybalance models the simplest seasonal models in physical climatology to assess the spatial and temporal habitability of earthlike planets we quantify the degree of climatic habitability of our models with several metrics of fractional habitability previous evaluations of habitable zones may have omitted important climatic conditions by focusing on close solar system analogies for example we find that model pseudoearths with different rotation rates or different landocean fractions have fractional habitabilities that differ significantly from that of the earth itself furthermore the stability of a planets climate against albedofeedback snowball events strongly impacts its habitability therefore issues of climate dynamics may be central in assessing the habitability of discovered terrestrial exoplanets especially if astronomical forcing conditions are different from the moderate solar system cases | [['according', 'to', 'the', 'standard', 'liquidwater', 'definition', 'the', 'earth', 'is', 'only', 'partially', 'habitable', 'we', 'reconsider', 'planetary', 'habitability', 'in', 'the', 'framework', 'of', 'energybalance', 'models', 'the', 'simplest', 'seasonal', 'models', 'in', 'physical', 'climatology', 'to', 'assess', 'the', 'spatial', 'and', 'temporal', 'habitability', 'of', 'earthlike', 'planets', 'we', 'quantify', 'the', 'degree', 'of', 'climatic', 'habitability', 'of', 'our', 'models', 'with', 'several', 'metrics', 'of', 'fractional', 'habitability', 'previous', 'evaluations', 'of', 'habitable', 'zones', 'may', 'have', 'omitted', 'important', 'climatic', 'conditions', 'by', 'focusing', 'on', 'close', 'solar', 'system', 'analogies', 'for', 'example', 'we', 'find', 'that', 'model', 'pseudoearths', 'with', 'different', 'rotation', 'rates', 'or', 'different', 'landocean', 'fractions', 'have', 'fractional', 'habitabilities', 'that', 'differ', 'significantly', 'from', 'that', 'of', 'the', 'earth', 'itself', 'furthermore', 'the', 'stability', 'of', 'a', 'planets', 'climate', 'against', 'albedofeedback', 'snowball', 'events', 'strongly', 'impacts', 'its', 'habitability', 'therefore', 'issues', 'of', 'climate', 'dynamics', 'may', 'be', 'central', 'in', 'assessing', 'the', 'habitability', 'of', 'discovered', 'terrestrial', 'exoplanets', 'especially', 'if', 'astronomical', 'forcing', 'conditions', 'are', 'different', 'from', 'the', 'moderate', 'solar', 'system', 'cases']] | [-0.12030984958673412, 0.17785568168743493, -0.052647789451458774, 0.11389941453078352, -0.0710895670567976, -0.05381931041215434, 0.08024254015891265, 0.289296289337865, -0.19054059190543512, -0.33287814377100333, 0.13535717264534444, -0.24580975436334704, -0.20221981573486636, 0.21365896721390334, -0.13782471630405238, 0.058536395793846736, 0.1288817521409257, -0.028570238887233302, -0.039565738950647966, -0.2833424192780616, 0.29288867600190693, 0.10024847419840013, 0.10544215080143342, 0.01952389945442861, 0.0017631538781991347, -0.12264463100879591, -0.04505883103421499, -0.050434008102882295, -0.18196766474691892, 0.05700906306168342, 0.2544475138810096, 0.185878023491175, 0.27790184967642556, -0.44980936166202873, -0.32672461753063803, 0.1031706994312736, 0.06214833166780518, -0.0008163798058815037, 0.016796118179369216, -0.275695130732637, 0.05098131205721474, -0.1885507022921724, -0.14829728051591565, -0.014864330378143078, 0.06616842898982742, 0.029956540693892232, -0.2385324547727797, 0.07770472358093194, 0.06189318131721506, 0.1709424991570149, -0.16500762364321805, -0.16669709823781242, -0.10301831290984513, 0.14820878707361243, 0.06939010036319118, -0.07673051688450237, 0.21060117883013285, -0.10333008719038496, -0.05832135638119719, 0.4421497674473951, -0.09666517831167167, -0.1593806437474299, 0.296990141226309, -0.24502233067751988, -0.1204165718914505, 0.05860356023165245, 0.21031367782080637, 0.12196485563478571, -0.16155216485552543, 0.02500158400771849, -0.023912282620972777, 0.1394022112441454, 0.10367065180317624, 0.03217657917370716, 0.36756468475102744, 0.16821724814792158, 0.10303992435174288, 0.043623205253702474, -0.155215852280438, -0.11866043774899862, -0.1737180731848794, -0.13355989604263652, -0.09241763024478622, 0.00413914201847205, -0.11158983008339522, -0.15348888927053475, 0.4196844583390452, 0.2707807378701417, 0.11536367948939825, -0.023218412962015586, 0.2835379956911008, 0.06589808632662612, 0.046400872049258746, 0.035563858797284936, 0.30620421341732673, 0.06680389271936782, 0.07475606666825024, -0.25218173230218816, 0.1872165499994835, 0.0017433885471723604] |
711.4857 | Solution of the genaralized periodic discrete Toda equation | A box-ball system with more than one kind of balls is obtained by the
generalized periodic discrete Toda equation (pd Toda eq.). We study the pd Toda
equation in view of algebraic geometry. The time evolution of pd Toda eq. is
linearized on an algebraic variety, and theta function solutions are obtained.
| math-ph math.MP | a boxball system with more than one kind of balls is obtained by the generalized periodic discrete toda equation pd toda eq we study the pd toda equation in view of algebraic geometry the time evolution of pd toda eq is linearized on an algebraic variety and theta function solutions are obtained | [['a', 'boxball', 'system', 'with', 'more', 'than', 'one', 'kind', 'of', 'balls', 'is', 'obtained', 'by', 'the', 'generalized', 'periodic', 'discrete', 'toda', 'equation', 'pd', 'toda', 'eq', 'we', 'study', 'the', 'pd', 'toda', 'equation', 'in', 'view', 'of', 'algebraic', 'geometry', 'the', 'time', 'evolution', 'of', 'pd', 'toda', 'eq', 'is', 'linearized', 'on', 'an', 'algebraic', 'variety', 'and', 'theta', 'function', 'solutions', 'are', 'obtained']] | [-0.18621303523272778, 0.015808713848785443, -0.0775149089570802, 0.1138584560293776, -0.07582686293440369, -0.18733171838371512, -0.0897409846030104, 0.22489490360245468, -0.3469602123905833, -0.19647532776714519, 0.11495326720670654, -0.29420102840790957, -0.18897387077315494, 0.21725458793270475, -0.030669804071434416, 0.05621187143529264, 0.07012501513012327, 0.06159725612871206, -0.1744682584853413, -0.30000307138722676, 0.3471040213838793, -0.06070771137512146, 0.20739255738086426, -0.03167209319340495, 0.10451511619612575, 0.05982164457852308, 0.04437279563325529, -0.020500390503842097, -0.16063480294094637, 0.05502500513998362, 0.24902481951106054, 0.03869348215476538, 0.2046631510870961, -0.41917785780074507, -0.20188956662940866, 0.054795233747706965, 0.15279268748306024, 0.086433672811836, 0.010442144112927893, -0.3123570097467074, 0.057483520455067404, -0.1053762579909884, -0.28105098056571126, 0.028330307006119534, 0.06615432101086928, 0.09691698863081491, -0.2550064172022618, 0.06824129783378269, 0.06010069995402144, 0.14433542990054077, -0.1370277390546667, -0.08879354331293143, -0.09246085308348903, -0.008836385014896782, 0.025569393527873147, 0.077907517807594, 0.023569901769336026, -0.06832554646266195, -0.09860274950579669, 0.3853364103975204, -0.04518663060382376, -0.3312804354354739, 0.09469769484936617, -0.13038712096078178, -0.1135917172426931, 0.16113319620490074, 0.13317389833257318, 0.13063580764887425, -0.14496027223336008, 0.1335111340819052, -0.07055815322718655, 0.1306053824686947, 0.09336503511832024, -0.0439572069220818, 0.14811785626583374, 0.1452503869883143, 0.015517464659821529, 0.13309240004477593, -0.008523539754185969, -0.22414856051461987, -0.2933539553330495, -0.1614647601158, -0.1453123835918422, 0.19169969803008896, -0.14353686143938552, -0.14895033865020826, 0.38534956926909775, 0.01856302703694942, 0.08528558746911585, 0.06980992998712911, 0.1077969671280768, 0.247791137632493, 0.006597054584954794, -0.0026502491225703405, 0.11868261596940172, 0.21362660257951716, 0.1770100123517645, -0.25566173151422006, -0.030838549808742337, 0.2712831067888496] |
711.4858 | New insights into the nature of the SMC WR/LBV binary HD 5980 | We present the results of optical wavelength observations of the unusual SMC
eclipsing binary system HD 5980 obtained in 1999 and 2004--2005. Radial
velocity curves for the erupting LBV/WR object (star A) and its close WR-like
companion (star B) are obtained by deblending the variable emission-line
profiles of N IV and N V lines under the simplistic assumption that these lines
originate primarily in the winds of star A and star B. The derived masses
M_A=58--79 Mo and M_B=51--67 Mo, are more consistent with the stars' location
near the top of the HRD than previous estimates. The presence of a wind-wind
interaction region is inferred from the orbital phase-dependent behavior of He
I P Cygni absorption components. The emission-line intensities continued with
the declining trend previously seen in UV spectra. The behavior of the
photospheric absorption lines is consistent with the results of Schweickhardt
(2002) who concludes that the third object in the combined spectrum, star C, is
also a binary system with P(starC)~96.5 days, e=0.83. The data used in this
paper will be made publicly available for further analysis.
| astro-ph | we present the results of optical wavelength observations of the unusual smc eclipsing binary system hd 5980 obtained in 1999 and 20042005 radial velocity curves for the erupting lbvwr object star a and its close wrlike companion star b are obtained by deblending the variable emissionline profiles of n iv and n v lines under the simplistic assumption that these lines originate primarily in the winds of star a and star b the derived masses m_a5879 mo and m_b5167 mo are more consistent with the stars location near the top of the hrd than previous estimates the presence of a windwind interaction region is inferred from the orbital phasedependent behavior of he i p cygni absorption components the emissionline intensities continued with the declining trend previously seen in uv spectra the behavior of the photospheric absorption lines is consistent with the results of schweickhardt 2002 who concludes that the third object in the combined spectrum star c is also a binary system with pstarc965 days e083 the data used in this paper will be made publicly available for further analysis | [['we', 'present', 'the', 'results', 'of', 'optical', 'wavelength', 'observations', 'of', 'the', 'unusual', 'smc', 'eclipsing', 'binary', 'system', 'hd', '5980', 'obtained', 'in', '1999', 'and', '20042005', 'radial', 'velocity', 'curves', 'for', 'the', 'erupting', 'lbvwr', 'object', 'star', 'a', 'and', 'its', 'close', 'wrlike', 'companion', 'star', 'b', 'are', 'obtained', 'by', 'deblending', 'the', 'variable', 'emissionline', 'profiles', 'of', 'n', 'iv', 'and', 'n', 'v', 'lines', 'under', 'the', 'simplistic', 'assumption', 'that', 'these', 'lines', 'originate', 'primarily', 'in', 'the', 'winds', 'of', 'star', 'a', 'and', 'star', 'b', 'the', 'derived', 'masses', 'm_a5879', 'mo', 'and', 'm_b5167', 'mo', 'are', 'more', 'consistent', 'with', 'the', 'stars', 'location', 'near', 'the', 'top', 'of', 'the', 'hrd', 'than', 'previous', 'estimates', 'the', 'presence', 'of', 'a', 'windwind', 'interaction', 'region', 'is', 'inferred', 'from', 'the', 'orbital', 'phasedependent', 'behavior', 'of', 'he', 'i', 'p', 'cygni', 'absorption', 'components', 'the', 'emissionline', 'intensities', 'continued', 'with', 'the', 'declining', 'trend', 'previously', 'seen', 'in', 'uv', 'spectra', 'the', 'behavior', 'of', 'the', 'photospheric', 'absorption', 'lines', 'is', 'consistent', 'with', 'the', 'results', 'of', 'schweickhardt', '2002', 'who', 'concludes', 'that', 'the', 'third', 'object', 'in', 'the', 'combined', 'spectrum', 'star', 'c', 'is', 'also', 'a', 'binary', 'system', 'with', 'pstarc965', 'days', 'e083', 'the', 'data', 'used', 'in', 'this', 'paper', 'will', 'be', 'made', 'publicly', 'available', 'for', 'further', 'analysis']] | [-0.10141507827938767, 0.07218690420268103, -0.056315119759264315, 0.03070585230174898, -0.08588246850889515, -0.12758877739278515, 0.078681487761721, 0.4264108950314535, -0.15661463607764084, -0.30783634656108916, 0.058036300286899364, -0.31418732451592485, -0.04949756590808234, 0.19460959841539574, -0.062407757318479445, -0.01707599621394448, 0.14099002844754563, -0.02878696991352957, -0.03656616236383508, -0.24796325104067696, 0.3100392058629289, 0.045564270509533926, 0.12944527017878665, -0.050226307052401935, -0.004263923709169665, -0.05008061237723185, -0.07264676159750459, -0.016316967307251285, -0.13638915664250817, 0.09197936846281994, 0.20095497670362503, 0.14319871584831906, 0.15706245140807534, -0.31463058850204106, -0.20825594607528977, 0.016627901983239015, 0.17039686666843903, 0.021858844413972376, -0.027676306560847894, -0.29125435164711566, 0.056477557693142444, -0.1827478195958644, -0.1732447078552055, 0.07911292938198047, 0.09911139073929834, 0.058762615342857316, -0.2627844372235069, 0.08199265251377338, 0.05900499449556016, 0.14588078897875015, -0.12892648803046375, -0.11662098333181348, -0.09508844087461264, 0.06559737537331371, 0.03721627478576424, 0.06979741366574838, 0.11768820989593885, -0.11951676400415388, -0.02826504314064302, 0.37860547936394473, -0.12078793305251813, 0.013599923287983984, 0.2092502363176953, -0.19667022808359683, -0.1535534821080298, 0.19116632626206742, 0.11791343554663895, 0.1541713154927658, -0.14454572840159843, 0.003187594768943117, -0.04760627584023909, 0.19372810137362897, 0.038016628876159135, 0.02377235848028001, 0.28729760549454525, 0.06437121211043136, -0.03770527329507703, 0.08818440645601103, -0.2405625574306627, -0.03066120586432093, -0.2436173447759674, -0.0928336829608518, -0.12361705166933296, 0.04484506011001279, -0.10903977490761463, -0.11231488656697118, 0.3406996922977586, 0.10081225261588274, 0.23460798646953085, -0.004844465354505122, 0.2668625149050389, 0.13032652019650082, 0.04802687651483046, 0.12871434099559503, 0.3220512730185874, 0.1841764002469559, 0.17071372546276756, -0.2551880264218198, 0.09877586049101823, 0.025378641034793956] |
711.4859 | Higher string topology operations | Chas and Sullivan have defined an intersection-type product on the homology
of the free loop space LM of an oriented manifold M. In this paper we show how
to extend this construction to a topological conformal field theory of degree
d. In particular, we get operations on the homology of LM which are
parameterized by the homology of the moduli space of open-closed Riemann
surfaces.
| math.AT math.GT | chas and sullivan have defined an intersectiontype product on the homology of the free loop space lm of an oriented manifold m in this paper we show how to extend this construction to a topological conformal field theory of degree d in particular we get operations on the homology of lm which are parameterized by the homology of the moduli space of openclosed riemann surfaces | [['chas', 'and', 'sullivan', 'have', 'defined', 'an', 'intersectiontype', 'product', 'on', 'the', 'homology', 'of', 'the', 'free', 'loop', 'space', 'lm', 'of', 'an', 'oriented', 'manifold', 'm', 'in', 'this', 'paper', 'we', 'show', 'how', 'to', 'extend', 'this', 'construction', 'to', 'a', 'topological', 'conformal', 'field', 'theory', 'of', 'degree', 'd', 'in', 'particular', 'we', 'get', 'operations', 'on', 'the', 'homology', 'of', 'lm', 'which', 'are', 'parameterized', 'by', 'the', 'homology', 'of', 'the', 'moduli', 'space', 'of', 'openclosed', 'riemann', 'surfaces']] | [-0.21154224352358142, 0.14829042872997888, -0.09667161973993643, 0.06326155348142493, -0.06671417360485066, -0.06637898910412332, -0.009521407344436739, 0.3374108006537426, -0.30464819533517584, -0.2598902763566002, 0.0891811660512758, -0.17844103781681042, -0.21713710442418233, 0.17217683340641088, -0.17116261215414852, -0.020176552010525484, 0.0044369978859322146, 0.08910777219716692, -0.1194441655970877, -0.3284158486058004, 0.44774501294159563, 0.01746815798105672, 0.17015325106331147, 0.05137796757480828, 0.07708221790380776, 0.0009428073863091413, -0.019643715386337135, 0.032699082409635594, -0.2088897126232041, 0.20672144956006377, 0.25264617141510826, 0.06349147149012424, 0.1214939657584182, -0.42250243993476033, -0.19405782897547397, 0.10041661755531095, 0.10410135459824232, -0.0010113355911016697, 0.04098568817425985, -0.26277817209484056, 0.10180596586724278, -0.1642536924975957, -0.10108584742556559, -0.09863674893858843, 0.04016318941467034, -0.03321938060980756, -0.1439205059723463, -0.08557846669282299, 0.08963583718286827, 0.1099619545857422, -0.0595779250288615, -0.058941316994605586, -0.07586200322839431, 0.11244408590573585, 0.034430019797582645, 0.1490216843158123, 0.08919018023152603, -0.10743516719230684, -0.14953988706110977, 0.3221965827397071, -0.09776884109305684, -0.27452458514017053, 0.1160288031824166, -0.14353659153130138, -0.20629551965248538, 0.11318179196678102, 0.10345221735769883, 0.18993924450478517, 6.123028288129717e-05, 0.24155505296857882, -0.06906148478446994, 0.10354852495947853, 0.08358789074554807, -0.06383404563530348, 0.16782113071531057, 0.12373102354104049, 0.10319795157192857, 0.16034012922318652, -0.05472848191129742, -0.0872893848863896, -0.34157525541377254, -0.27836311186956664, -0.15560078747512307, 0.12787304699304514, -0.11721564720915012, -0.24158672671183012, 0.4047107742371736, 0.07350705184330764, 0.19762691466894466, 0.13677260988515627, 0.22686467874154914, 0.05391226685605943, 0.05185340452590026, 0.06509557532262988, 0.1443989935796708, 0.1941149943122582, 0.01041742443885596, -0.15955264069634723, -0.062091469691949897, 0.23358884526533075] |
711.486 | On the nature of the lowest $1/2^-$ baryon nonet and decuplet | From recent study of properties of the lowest spin-parity $1/2^-$ baryons,
$N^*(1535)$ and $\Delta^*(1620)$, new pictures for the internal structure of
the lowest $1/2^-$ baryon octet and decuplet are proposed. While the lowest
$1/2^-$ baryon octet may have large diquark-diquark-antiquark component, the
lowest $1/2^-$ baryon decuplet is proposed to have large vector-meson-baryon
components. Evidence for the "missing" members of the new pictures is pointed
out and suggestions are made for detecting these predicted states from
forthcoming experiments.
| nucl-th | from recent study of properties of the lowest spinparity 12 baryons n1535 and delta1620 new pictures for the internal structure of the lowest 12 baryon octet and decuplet are proposed while the lowest 12 baryon octet may have large diquarkdiquarkantiquark component the lowest 12 baryon decuplet is proposed to have large vectormesonbaryon components evidence for the missing members of the new pictures is pointed out and suggestions are made for detecting these predicted states from forthcoming experiments | [['from', 'recent', 'study', 'of', 'properties', 'of', 'the', 'lowest', 'spinparity', '12', 'baryons', 'n1535', 'and', 'delta1620', 'new', 'pictures', 'for', 'the', 'internal', 'structure', 'of', 'the', 'lowest', '12', 'baryon', 'octet', 'and', 'decuplet', 'are', 'proposed', 'while', 'the', 'lowest', '12', 'baryon', 'octet', 'may', 'have', 'large', 'diquarkdiquarkantiquark', 'component', 'the', 'lowest', '12', 'baryon', 'decuplet', 'is', 'proposed', 'to', 'have', 'large', 'vectormesonbaryon', 'components', 'evidence', 'for', 'the', 'missing', 'members', 'of', 'the', 'new', 'pictures', 'is', 'pointed', 'out', 'and', 'suggestions', 'are', 'made', 'for', 'detecting', 'these', 'predicted', 'states', 'from', 'forthcoming', 'experiments']] | [-0.08946897269618746, 0.22276525036125494, -0.01757698016559803, 0.15264368275682882, -0.08992648669472576, -0.055607255303153864, 0.09164252217957064, 0.3063047398862086, -0.1148927440915845, -0.34976980305815997, -0.008708982238251912, -0.36826574395557765, -0.01601422174931749, 0.07798166335315297, 0.1189671480219419, 0.04412201772394933, 0.04453168260423761, 0.035261861483664496, -0.010342177113910256, -0.24232012939970254, 0.33511460720757513, -0.008747156709432602, 0.23884263525618926, 0.0800663263959761, 0.024735771683289817, -0.05791384417802634, -0.061091639983810876, -0.07356658436995196, -0.10336747945065757, 0.0841389390185022, 0.215574856063253, 0.08056346971639677, 0.20674209512684397, -0.35329401527384396, -0.13626804273869647, 0.10290383731970858, 0.18578339261493007, 0.20514628334326276, -0.060514805041939804, -0.33762989016739947, 0.18649434307467586, -0.19496829552870049, -0.16039963319015346, -0.1769331739480166, 0.05176857904849672, -0.0068286788737168536, -0.22051245509417067, 0.14487197944637095, -0.061624973586539886, 0.0679467604495585, -0.1157594672526772, -0.3645456821847658, -0.09318967472982446, 0.1298834187174706, 0.07255878472872275, 0.040242595374461655, 0.0544187287849031, -0.16507829392426893, -0.162068207834014, 0.3940490425172213, -0.009876788814405077, -0.11370753188384697, 0.11104375475980832, -0.18417557820334637, -0.2170157960714086, 0.11719733843040701, 0.11114486469887197, 0.03510681262215305, -0.15517189067031723, 0.05165807612157598, -0.06395159696081751, 0.1809491455603979, 0.051077861360298765, 0.0886417044522731, 0.2565667532678497, 0.12179269612227615, -0.062357907242537626, 0.05998833130701984, -0.11223611625916276, -0.05013043332943007, -0.31253202004652275, -0.10120289529502195, -0.16050624134215086, 0.014030046460806932, -0.029036003611652535, -0.05589574539886886, 0.39323982363566756, 0.07411104062798825, 0.2494257274328878, -0.029321714019476388, 0.26846071847984077, 0.05902279668340558, 0.13888672613048633, 0.08742097913483649, 0.29053372791723203, 0.23768688789813927, 0.08697148170751079, -0.2386667243707435, -0.04041058175406713, -0.009089010884054005] |
711.4861 | Understanding Confinement From Deconfinement | We use effective magnetic SU(N) pure gauge theory with cutoff M and fixed
gauge coupling g_m to calculate non-perturbative magnetic properties of the
deconfined phase of SU(N) Yang-Mills theory. We obtain the response to an
external closed loop of electric current by reinterpreting and regulating the
calculation of the one loop effective potential in Yang-Mills theory. This
effective potential gives rise to a color magnetic charge density, the
counterpart in the deconfined phase of color magnetic currents introduced in
effective dual superconductor theories of the confined phase via magnetically
charged Higgs fields. The resulting spatial Wilson loop has area law behavior.
Using values of M and g_m determined in the confined phase, we find SU(3)
spatial string tensions compatible with lattice simulations in the temperature
interval 1.5T_c < T < 2.5T_c. Use of the effective theory to analyze
experiments on heavy ion collisions will provide applications and further tests
of these ideas.
| hep-ph hep-lat | we use effective magnetic sun pure gauge theory with cutoff m and fixed gauge coupling g_m to calculate nonperturbative magnetic properties of the deconfined phase of sun yangmills theory we obtain the response to an external closed loop of electric current by reinterpreting and regulating the calculation of the one loop effective potential in yangmills theory this effective potential gives rise to a color magnetic charge density the counterpart in the deconfined phase of color magnetic currents introduced in effective dual superconductor theories of the confined phase via magnetically charged higgs fields the resulting spatial wilson loop has area law behavior using values of m and g_m determined in the confined phase we find su3 spatial string tensions compatible with lattice simulations in the temperature interval 15t_c t 25t_c use of the effective theory to analyze experiments on heavy ion collisions will provide applications and further tests of these ideas | [['we', 'use', 'effective', 'magnetic', 'sun', 'pure', 'gauge', 'theory', 'with', 'cutoff', 'm', 'and', 'fixed', 'gauge', 'coupling', 'g_m', 'to', 'calculate', 'nonperturbative', 'magnetic', 'properties', 'of', 'the', 'deconfined', 'phase', 'of', 'sun', 'yangmills', 'theory', 'we', 'obtain', 'the', 'response', 'to', 'an', 'external', 'closed', 'loop', 'of', 'electric', 'current', 'by', 'reinterpreting', 'and', 'regulating', 'the', 'calculation', 'of', 'the', 'one', 'loop', 'effective', 'potential', 'in', 'yangmills', 'theory', 'this', 'effective', 'potential', 'gives', 'rise', 'to', 'a', 'color', 'magnetic', 'charge', 'density', 'the', 'counterpart', 'in', 'the', 'deconfined', 'phase', 'of', 'color', 'magnetic', 'currents', 'introduced', 'in', 'effective', 'dual', 'superconductor', 'theories', 'of', 'the', 'confined', 'phase', 'via', 'magnetically', 'charged', 'higgs', 'fields', 'the', 'resulting', 'spatial', 'wilson', 'loop', 'has', 'area', 'law', 'behavior', 'using', 'values', 'of', 'm', 'and', 'g_m', 'determined', 'in', 'the', 'confined', 'phase', 'we', 'find', 'su3', 'spatial', 'string', 'tensions', 'compatible', 'with', 'lattice', 'simulations', 'in', 'the', 'temperature', 'interval', '15t_c', 't', '25t_c', 'use', 'of', 'the', 'effective', 'theory', 'to', 'analyze', 'experiments', 'on', 'heavy', 'ion', 'collisions', 'will', 'provide', 'applications', 'and', 'further', 'tests', 'of', 'these', 'ideas']] | [-0.15224416181231692, 0.2802910070409416, -0.07963427777033455, 0.07333243581078326, -0.03588757154997438, -0.12762271682033316, 0.05007810478253911, 0.3626710334668557, -0.16563020286771157, -0.305441509274145, 0.014975445741632332, -0.25444272183502714, -0.10113064555761715, 0.08627226245589555, 0.001747112770875295, 0.016464151206212894, -0.04003172589465976, 0.07346568963354609, -0.11330128438149889, -0.20452239674826464, 0.2811587692176302, 0.028056252588673183, 0.27900012928371626, 0.11441707537819942, 0.0720047182807078, 0.021312252130980293, -0.0037200289002309243, 0.06710033439720671, -0.14638828625592093, 0.09075765215112673, 0.18713095263733218, -0.02419775805591295, 0.11887349070670704, -0.45020047140618163, -0.22712519589811564, 0.06337044219486415, 0.13966615887358785, 0.10130609674146399, -0.06672335391010469, -0.2644821642711759, 0.04600241642134885, -0.1576762165501714, -0.1957309274856622, -0.11251603941743572, 0.01290744817815721, -0.06215894968559345, -0.29490936911354465, 0.06874547719780821, -0.026011300378013403, 0.08397631537169219, -0.05204164281332244, -0.099297258220613, -0.04460894862965991, 0.0933283780926528, 0.09505519362321745, 0.12535496984918912, 0.19406080942911405, -0.18907491912133992, -0.13583962791599333, 0.35003850570569434, -0.10381891911112083, -0.13324299574732626, 0.14726413470692934, -0.16908386626901725, -0.10683431664481759, 0.12153952488923096, 0.13176678367269537, 0.12075154708800255, -0.13074905317897598, 0.17822527011701217, -0.0028877764916978776, 0.11802029104876662, 0.05138758790834497, 0.05268117763257275, 0.2843396652303636, 0.1193724966313069, 0.01564144001652797, 0.13826533753589804, -0.06104949022488048, -0.131695730558907, -0.3581829929848512, -0.10325377216873069, -0.1126794342463836, 0.07485488600563257, -0.14127992882975376, -0.1831024863726149, 0.3627129282336682, 0.16690918042169264, 0.15364183860520522, -0.03137878331510971, 0.24473471452326825, 0.11585268763825297, 0.06737736381124705, 0.05795672791078687, 0.24592707813717424, 0.24968525774000833, 0.13658559781188767, -0.3108393010559181, -0.11250202680317065, 0.16232870026025922] |
711.4862 | Uncovering latent singularities from multifractal scaling laws in mixed
asymptotic regime. Application to turbulence | In this paper we revisit an idea originally proposed by Mandelbrot about the
possibility to observe ``negative dimensions'' in random multifractals. For
that purpose, we define a new way to study scaling where the observation scale
$\tau$ and the total sample length $L$ are respectively going to zero and to
infinity. This ``mixed'' asymptotic regime is parametrized by an exponent
$\chi$ that corresponds to Mandelbrot ``supersampling exponent''. In order to
study the scaling exponents in the mixed regime, we use a formalism introduced
in the context of the physics of disordered systems relying upon traveling wave
solutions of some non-linear iteration equation. Within our approach, we show
that for random multiplicative cascade models, the parameter $\chi$ can be
interpreted as a negative dimension and, as anticipated by Mandelbrot, allows
one to uncover the ``hidden'' negative part of the singularity spectrum,
corresponding to ``latent'' singularities. We illustrate our purpose on
synthetic cascade models. When applied to turbulence data, this formalism
allows us to distinguish two popular phenomenological models of dissipation
intermittency: We show that the mixed scaling exponents agree with a log-normal
model and not with log-Poisson statistics.
| physics.data-an | in this paper we revisit an idea originally proposed by mandelbrot about the possibility to observe negative dimensions in random multifractals for that purpose we define a new way to study scaling where the observation scale tau and the total sample length l are respectively going to zero and to infinity this mixed asymptotic regime is parametrized by an exponent chi that corresponds to mandelbrot supersampling exponent in order to study the scaling exponents in the mixed regime we use a formalism introduced in the context of the physics of disordered systems relying upon traveling wave solutions of some nonlinear iteration equation within our approach we show that for random multiplicative cascade models the parameter chi can be interpreted as a negative dimension and as anticipated by mandelbrot allows one to uncover the hidden negative part of the singularity spectrum corresponding to latent singularities we illustrate our purpose on synthetic cascade models when applied to turbulence data this formalism allows us to distinguish two popular phenomenological models of dissipation intermittency we show that the mixed scaling exponents agree with a lognormal model and not with logpoisson statistics | [['in', 'this', 'paper', 'we', 'revisit', 'an', 'idea', 'originally', 'proposed', 'by', 'mandelbrot', 'about', 'the', 'possibility', 'to', 'observe', 'negative', 'dimensions', 'in', 'random', 'multifractals', 'for', 'that', 'purpose', 'we', 'define', 'a', 'new', 'way', 'to', 'study', 'scaling', 'where', 'the', 'observation', 'scale', 'tau', 'and', 'the', 'total', 'sample', 'length', 'l', 'are', 'respectively', 'going', 'to', 'zero', 'and', 'to', 'infinity', 'this', 'mixed', 'asymptotic', 'regime', 'is', 'parametrized', 'by', 'an', 'exponent', 'chi', 'that', 'corresponds', 'to', 'mandelbrot', 'supersampling', 'exponent', 'in', 'order', 'to', 'study', 'the', 'scaling', 'exponents', 'in', 'the', 'mixed', 'regime', 'we', 'use', 'a', 'formalism', 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'with', 'logpoisson', 'statistics']] | [-0.09636364584131275, 0.13150592816120169, -0.12328765838143023, 0.1085342816973633, -0.08607657303732327, -0.14784032509433115, 0.04554767235005424, 0.2911328213640494, -0.2857396943335307, -0.272469436794639, 0.05649826187020377, -0.2731823085928348, -0.18345857383733127, 0.1868315340993418, -0.026805068148339894, 0.07471777513102792, -0.0182052024909081, 0.014800795119873342, -0.02720137231579837, -0.21097298329048617, 0.3584791364731581, 0.05071361397796455, 0.27395485608992887, 0.00657848897514576, 0.06173074035749666, -0.03489059600032826, -0.033041587136785455, 0.0342006554215758, -0.18398963558963216, 0.07527711063145316, 0.22330538572241687, 0.05928696645984058, 0.2568705419407171, -0.37338372646129214, -0.24018032169392842, 0.11744677171081225, 0.17044391438494472, 0.08369520240348768, 0.024301715691811727, -0.26248836045696294, 0.10866883724061324, -0.17712643302673284, -0.18642492293265653, -0.08922616242465967, 0.01087546425766964, 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711.4863 | Periods and Feynman integrals | We consider multi-loop integrals in dimensional regularisation and the
corresponding Laurent series. We study the integral in the Euclidean region and
where all ratios of invariants and masses have rational values. We prove that
in this case all coefficients of the Laurent series are periods.
| hep-th hep-ph | we consider multiloop integrals in dimensional regularisation and the corresponding laurent series we study the integral in the euclidean region and where all ratios of invariants and masses have rational values we prove that in this case all coefficients of the laurent series are periods | [['we', 'consider', 'multiloop', 'integrals', 'in', 'dimensional', 'regularisation', 'and', 'the', 'corresponding', 'laurent', 'series', 'we', 'study', 'the', 'integral', 'in', 'the', 'euclidean', 'region', 'and', 'where', 'all', 'ratios', 'of', 'invariants', 'and', 'masses', 'have', 'rational', 'values', 'we', 'prove', 'that', 'in', 'this', 'case', 'all', 'coefficients', 'of', 'the', 'laurent', 'series', 'are', 'periods']] | [-0.21931667638321717, 0.07358793819892323, -0.045871025199691454, 0.043394468670400484, -0.023933702500330077, -0.035103812420533766, -0.03751461071272691, 0.35274026584294105, -0.2596146744986375, -0.18297851917644342, 0.13852527091124406, -0.2679491043123158, -0.20280521042231056, 0.20809585799773533, -0.0749094594121238, 0.05446599946234427, 0.043673303971687956, 0.05212613468368848, -0.11036799216332535, -0.34800463292437295, 0.3720138220323457, -0.08204641116576063, 0.1428644233279758, 0.011816222531100115, 0.09746750040600698, 0.027178765383238594, -0.062359353279074034, -0.023221165697193808, -0.1855785638567694, 0.08656271333909697, 0.3137905740075641, 0.011072184088536434, 0.1923789523852368, -0.37265387868715655, -0.12200723900977108, 0.1629498719341225, 0.18206242127344013, 0.005555953892568747, 0.05404377271835175, -0.17979766392769914, 0.052959783256260884, -0.17113780520028538, -0.16019943764226305, -0.15005145435118014, 0.055292620778911644, 0.04275421971558697, -0.30436818205441035, 0.09784016566764978, -0.029898165787259737, 0.11921740064604415, -0.11291483618939917, -0.14901895131915807, 0.044623796600434515, 0.08440463284237518, 0.07330083231079496, -0.03154135545612209, 0.026364254340943364, -0.11344371882684451, -0.12573939375579357, 0.31626912732091217, -0.06688327572774141, -0.22380319691987502, 0.12350687747821212, -0.27829879961080023, -0.20343955046393805, 0.08618011998219623, 0.14406621836953692, 0.20586175608138244, -0.09848924713830152, 0.17932098985572034, -0.06654654757844078, 0.03197910665120515, 0.15808175888119472, 0.016444094054814843, 0.175768163241446, -0.007147535805900892, -0.025847814019976392, 0.15511694430477088, -0.05982470247480604, -0.12375691108819512, -0.3641373181922568, -0.20222480872439014, -0.09422373585920367, 0.05415442383123769, -0.17067085927669218, -0.16847583661890692, 0.39416107498109343, 0.12302117489873328, 0.26804243756665125, 0.11917538966647245, 0.23115059981743494, 0.22190780598256324, 0.08917183975378672, 0.07061492759320472, 0.17407059429420366, 0.12159429631299443, 0.05540524178908931, -0.17344146594405174, -0.04032620499945349, 0.21267537377360796] |
711.4864 | Cooperative Relaying with State Available at the Relay | We consider a state-dependent full-duplex relay channel with the state of the
channel non-causally available at only the relay. In the framework of
cooperative wireless networks, some specific terminals can be equipped with
cognition capabilities, i.e, the relay in our model. In the discrete memoryless
(DM) case, we derive lower and upper bounds on channel capacity. The lower
bound is obtained by a coding scheme at the relay that consists in a
combination of codeword splitting, Gel'fand-Pinsker binning, and a
decode-and-forward scheme. The upper bound is better than that obtained by
assuming that the channel state is available at the source and the destination
as well. For the Gaussian case, we also derive lower and upper bounds on
channel capacity. The lower bound is obtained by a coding scheme which is based
on a combination of codeword splitting and Generalized dirty paper coding. The
upper bound is also better than that obtained by assuming that the channel
state is available at the source, the relay, and the destination. The two
bounds meet, and so give the capacity, in some special cases for the degraded
Gaussian case.
| cs.IT math.IT | we consider a statedependent fullduplex relay channel with the state of the channel noncausally available at only the relay in the framework of cooperative wireless networks some specific terminals can be equipped with cognition capabilities ie the relay in our model in the discrete memoryless dm case we derive lower and upper bounds on channel capacity the lower bound is obtained by a coding scheme at the relay that consists in a combination of codeword splitting gelfandpinsker binning and a decodeandforward scheme the upper bound is better than that obtained by assuming that the channel state is available at the source and the destination as well for the gaussian case we also derive lower and upper bounds on channel capacity the lower bound is obtained by a coding scheme which is based on a combination of codeword splitting and generalized dirty paper coding the upper bound is also better than that obtained by assuming that the channel state is available at the source the relay and the destination the two bounds meet and so give the capacity in some special cases for the degraded gaussian case | [['we', 'consider', 'a', 'statedependent', 'fullduplex', 'relay', 'channel', 'with', 'the', 'state', 'of', 'the', 'channel', 'noncausally', 'available', 'at', 'only', 'the', 'relay', 'in', 'the', 'framework', 'of', 'cooperative', 'wireless', 'networks', 'some', 'specific', 'terminals', 'can', 'be', 'equipped', 'with', 'cognition', 'capabilities', 'ie', 'the', 'relay', 'in', 'our', 'model', 'in', 'the', 'discrete', 'memoryless', 'dm', 'case', 'we', 'derive', 'lower', 'and', 'upper', 'bounds', 'on', 'channel', 'capacity', 'the', 'lower', 'bound', 'is', 'obtained', 'by', 'a', 'coding', 'scheme', 'at', 'the', 'relay', 'that', 'consists', 'in', 'a', 'combination', 'of', 'codeword', 'splitting', 'gelfandpinsker', 'binning', 'and', 'a', 'decodeandforward', 'scheme', 'the', 'upper', 'bound', 'is', 'better', 'than', 'that', 'obtained', 'by', 'assuming', 'that', 'the', 'channel', 'state', 'is', 'available', 'at', 'the', 'source', 'and', 'the', 'destination', 'as', 'well', 'for', 'the', 'gaussian', 'case', 'we', 'also', 'derive', 'lower', 'and', 'upper', 'bounds', 'on', 'channel', 'capacity', 'the', 'lower', 'bound', 'is', 'obtained', 'by', 'a', 'coding', 'scheme', 'which', 'is', 'based', 'on', 'a', 'combination', 'of', 'codeword', 'splitting', 'and', 'generalized', 'dirty', 'paper', 'coding', 'the', 'upper', 'bound', 'is', 'also', 'better', 'than', 'that', 'obtained', 'by', 'assuming', 'that', 'the', 'channel', 'state', 'is', 'available', 'at', 'the', 'source', 'the', 'relay', 'and', 'the', 'destination', 'the', 'two', 'bounds', 'meet', 'and', 'so', 'give', 'the', 'capacity', 'in', 'some', 'special', 'cases', 'for', 'the', 'degraded', 'gaussian', 'case']] | [-0.19841724139530592, 0.06871658111471803, -0.05021033589277537, 0.04176955472024518, -0.05321732475372252, -0.3114813447889862, 0.17582303542526118, 0.3553895416359107, -0.2480002710275272, -0.25006195143245724, 0.13590267399746564, -0.25871942194005954, -0.11141304422285088, 0.18266416147416356, -0.062169554207088445, 0.023706986618939267, 0.039787540810623315, 0.11987912486637792, -0.021035766928777178, -0.2628854011136648, 0.32617098280799484, 0.13181909546443832, 0.344232477157587, 0.05791040844914894, 0.07605642170434998, 0.006598278394429594, 0.008714691878506733, -0.10980831481752361, -0.1478418780773423, 0.09016860420790611, 0.2700991859279012, 0.13634481116808872, 0.18715094833043955, -0.37644302004056995, -0.2813124454164657, 0.06814411421737043, 0.1674199584165528, 0.10970604071275943, -0.03042679929965606, -0.2852984934992668, 0.12107689937661772, -0.20754503232416927, 0.011413609493844292, 0.07981380726140673, -0.1010554008165835, 0.016936551152367987, -0.33953136469047235, 0.05198796774149292, 0.05347709356674484, -0.00865572228369313, -0.07058165415931213, -0.1793221968416405, 0.020360820969286306, 0.13540486633146723, -0.02503129259072324, 0.027436602710475846, 0.03602926673177349, -0.12264490533827914, -0.10024513095186682, 0.30649962086450827, -0.09108470760674531, -0.24971131131213198, 0.11873715783166448, -0.1135498961328619, -0.09258765259116727, 0.14406654372703664, 0.22702952581695632, 0.09360217338087418, -0.1680244582364716, 0.05958186634046386, -0.07897660761610956, 0.16290230080184917, 0.08231604641543762, 0.13402280279044662, 0.09733040826908383, 0.14607094661382738, 0.16072359335325878, 0.21096230511646216, -0.12957831423276514, -0.11512139580407811, -0.3097319221023911, -0.09478663450472498, -0.2604759529918953, -0.0006865264387220465, -0.1141946213990381, -0.02269485417405464, 0.3036621472022694, 0.07933109955023786, 0.13718929340291808, 0.1356383964891285, 0.38728368584747597, 0.1448524172532983, 0.017329657265055243, 0.21102678345426196, 0.22625539318053803, 0.14885732897817688, 0.04557983548460548, -0.16791822671357, 0.1159201895127133, 0.029196020180699965] |
711.4865 | Effective action, magnetic excitations and quantum fluctuations in
lightly doped single layer cuprates | We consider the extended 2D $t-t'-t''-J$ model at zero temperature.
Parameters of the model corresponds to doping by holes. Using the low doping
effective action we demonstrate that the system can 1) preserve the long range
collinear antiferromagnetic order, 2) lead to a spin spiral state (static or
dynamic), 3) lead to the phase separation instability. We show that at
parameters of the effective action corresponding to the single layer cuprate
La$_{2-x}$Sr$_x$CuO$_4$ the spin spiral ground state is realized. We derive
properties of magnetic excitations and calculate quantum fluctuations. Quantum
fluctuations destroy the static spin spiral at the critical doping $x_c\approx
0.11$. This is the point of the quantum phase transition to the spin-liquid
state (dynamic spin spiral). The state is still double degenerate with respect
to the direction of the dynamic spiral, so this is a ``directional nematic''.
The superconducting pairing exists throughout the phase diagram and is not
sensitive to the quantum phase transition. We also compare the calculated
neutron scattering spectra with experimental data.
| cond-mat.str-el cond-mat.supr-con | we consider the extended 2d tttj model at zero temperature parameters of the model corresponds to doping by holes using the low doping effective action we demonstrate that the system can 1 preserve the long range collinear antiferromagnetic order 2 lead to a spin spiral state static or dynamic 3 lead to the phase separation instability we show that at parameters of the effective action corresponding to the single layer cuprate la_2xsr_xcuo_4 the spin spiral ground state is realized we derive properties of magnetic excitations and calculate quantum fluctuations quantum fluctuations destroy the static spin spiral at the critical doping x_capprox 011 this is the point of the quantum phase transition to the spinliquid state dynamic spin spiral the state is still double degenerate with respect to the direction of the dynamic spiral so this is a directional nematic the superconducting pairing exists throughout the phase diagram and is not sensitive to the quantum phase transition we also compare the calculated neutron scattering spectra with experimental data | [['we', 'consider', 'the', 'extended', '2d', 'tttj', 'model', 'at', 'zero', 'temperature', 'parameters', 'of', 'the', 'model', 'corresponds', 'to', 'doping', 'by', 'holes', 'using', 'the', 'low', 'doping', 'effective', 'action', 'we', 'demonstrate', 'that', 'the', 'system', 'can', '1', 'preserve', 'the', 'long', 'range', 'collinear', 'antiferromagnetic', 'order', '2', 'lead', 'to', 'a', 'spin', 'spiral', 'state', 'static', 'or', 'dynamic', '3', 'lead', 'to', 'the', 'phase', 'separation', 'instability', 'we', 'show', 'that', 'at', 'parameters', 'of', 'the', 'effective', 'action', 'corresponding', 'to', 'the', 'single', 'layer', 'cuprate', 'la_2xsr_xcuo_4', 'the', 'spin', 'spiral', 'ground', 'state', 'is', 'realized', 'we', 'derive', 'properties', 'of', 'magnetic', 'excitations', 'and', 'calculate', 'quantum', 'fluctuations', 'quantum', 'fluctuations', 'destroy', 'the', 'static', 'spin', 'spiral', 'at', 'the', 'critical', 'doping', 'x_capprox', '011', 'this', 'is', 'the', 'point', 'of', 'the', 'quantum', 'phase', 'transition', 'to', 'the', 'spinliquid', 'state', 'dynamic', 'spin', 'spiral', 'the', 'state', 'is', 'still', 'double', 'degenerate', 'with', 'respect', 'to', 'the', 'direction', 'of', 'the', 'dynamic', 'spiral', 'so', 'this', 'is', 'a', 'directional', 'nematic', 'the', 'superconducting', 'pairing', 'exists', 'throughout', 'the', 'phase', 'diagram', 'and', 'is', 'not', 'sensitive', 'to', 'the', 'quantum', 'phase', 'transition', 'we', 'also', 'compare', 'the', 'calculated', 'neutron', 'scattering', 'spectra', 'with', 'experimental', 'data']] | [-0.1790031406716137, 0.22332002578824647, -0.06020193946586844, 0.06484127599497821, -0.038982680339288124, -0.11669400680118693, 0.0585918372920798, 0.3639926706513245, -0.2708272304048505, -0.25870962493284744, 0.03901757672150246, -0.314380192588234, -0.08890856034680085, 0.11334234811532908, 0.05686163788516364, 0.0264945317221482, -0.06509341446482046, 0.030196505184647834, -0.16679166948205296, -0.1921566485219585, 0.31321283031400005, 0.010070292357199206, 0.31036557316847013, 0.02420214056399857, 0.07132182380917879, 0.0069767191244880416, 0.1410674863790502, -0.004586198595826497, -0.17894866443589444, -0.0054865087236801975, 0.25909448591685535, -0.04462538972987743, 0.14374219796280124, -0.4136920170356592, -0.2098275674507022, 0.043716205060928166, 0.13655894903834173, 0.18517384342263693, -0.023119015232095228, -0.2805857290039787, 0.08265574318691418, -0.1740575999761848, -0.18160280406587997, -0.10762672813631549, -0.04000033881420459, -0.03352554989448877, -0.2554005058231334, 0.10704726061221173, 0.06336374063892457, 0.03789307307563499, -0.09070340923764213, -0.08323581503567559, -0.05552914402096304, 0.09371399887960159, 0.020291401137469592, 0.10870642965090667, 0.15622890893994512, -0.13509501051715392, -0.11107354242811927, 0.33745355718395487, -0.04160782604333303, -0.10918991852824961, 0.15254951905163597, -0.2005895872817871, -0.07228737379965222, 0.17193567608538904, 0.10818817744395434, 0.0886668078991735, -0.08717974924487983, 0.06577710036978175, 0.00791906379860363, 0.2274039575704973, 0.003887692655988796, 0.0781027546548424, 0.28695044341959997, 0.18311676341750308, 0.06471449846379504, 0.165131711498639, -0.1667499068181984, -0.1307910486559445, -0.2413516071468904, -0.11791860526441568, -0.17882438343503473, 0.04508246277874785, -0.09197925125136497, -0.18042875451041374, 0.40455431220104954, 0.1785897740098776, 0.19102731934319178, -0.04845421306487775, 0.24690439917114831, 0.12726145075957576, 0.043677106853100486, 0.0598897217758262, 0.28530010317792437, 0.14496084130620082, 0.10422473402225418, -0.3259985297221222, 0.0634401062096352, 0.020197141104138006] |
711.4866 | Secluded WIMP Dark Matter | We consider a generic mechanism via which thermal relic WIMP dark matter may
be decoupled from the Standard Model, namely through a combination of WIMP
annihilation to metastable mediators with subsequent delayed decay to Standard
Model states. We illustrate this with explicit examples of WIMPs connected to
the Standard Model by metastable bosons or fermions. In all models, provided
the WIMP mass is greater than that of the mediator, it can be secluded from the
Standard Model with an extremely small elastic scattering cross-section on
nuclei and rate for direct collider production. In contrast, indirect
signatures from WIMP annihilation are consistent with a weak scale
cross-section and provide potentially observable \gamma-ray signals. We also
point out that \gamma-ray constraints and flavor physics impose severe
restrictions on MeV-scale variants of secluded models, and identify limited
classes that pass all the observational constraints.
| hep-ph | we consider a generic mechanism via which thermal relic wimp dark matter may be decoupled from the standard model namely through a combination of wimp annihilation to metastable mediators with subsequent delayed decay to standard model states we illustrate this with explicit examples of wimps connected to the standard model by metastable bosons or fermions in all models provided the wimp mass is greater than that of the mediator it can be secluded from the standard model with an extremely small elastic scattering crosssection on nuclei and rate for direct collider production in contrast indirect signatures from wimp annihilation are consistent with a weak scale crosssection and provide potentially observable gammaray signals we also point out that gammaray constraints and flavor physics impose severe restrictions on mevscale variants of secluded models and identify limited classes that pass all the observational constraints | [['we', 'consider', 'a', 'generic', 'mechanism', 'via', 'which', 'thermal', 'relic', 'wimp', 'dark', 'matter', 'may', 'be', 'decoupled', 'from', 'the', 'standard', 'model', 'namely', 'through', 'a', 'combination', 'of', 'wimp', 'annihilation', 'to', 'metastable', 'mediators', 'with', 'subsequent', 'delayed', 'decay', 'to', 'standard', 'model', 'states', 'we', 'illustrate', 'this', 'with', 'explicit', 'examples', 'of', 'wimps', 'connected', 'to', 'the', 'standard', 'model', 'by', 'metastable', 'bosons', 'or', 'fermions', 'in', 'all', 'models', 'provided', 'the', 'wimp', 'mass', 'is', 'greater', 'than', 'that', 'of', 'the', 'mediator', 'it', 'can', 'be', 'secluded', 'from', 'the', 'standard', 'model', 'with', 'an', 'extremely', 'small', 'elastic', 'scattering', 'crosssection', 'on', 'nuclei', 'and', 'rate', 'for', 'direct', 'collider', 'production', 'in', 'contrast', 'indirect', 'signatures', 'from', 'wimp', 'annihilation', 'are', 'consistent', 'with', 'a', 'weak', 'scale', 'crosssection', 'and', 'provide', 'potentially', 'observable', 'gammaray', 'signals', 'we', 'also', 'point', 'out', 'that', 'gammaray', 'constraints', 'and', 'flavor', 'physics', 'impose', 'severe', 'restrictions', 'on', 'mevscale', 'variants', 'of', 'secluded', 'models', 'and', 'identify', 'limited', 'classes', 'that', 'pass', 'all', 'the', 'observational', 'constraints']] | [-0.05234604722742612, 0.22487833228464657, -0.07166119659623356, 0.16372841489600373, -0.11962132389221261, -0.17603443258983606, 0.06354311325237261, 0.32901086592188117, -0.2640819674991864, -0.3239491374449844, 0.03361821605605965, -0.29489496674269755, -0.026875540612476833, 0.203082573063447, 0.06542059415224807, 0.01588699883114256, 0.08532108674990013, 0.024474741021007735, -0.01724879817330404, -0.24104124828941909, 0.2895545622561761, 0.07300688830329806, 0.19028814389008752, 0.06319293943861275, 0.08333199823288419, -0.0004527536055720444, -0.020177866224486855, -0.0651841516414961, -0.10747383913923764, 0.07378782150178738, 0.18425393602687987, 0.1001568457891121, 0.07650832235581961, -0.45591179309214686, -0.23991786168742898, 0.24523827417238436, 0.13701618067979654, 0.09750067889739937, -0.10629859481812685, -0.3566678285083555, 0.0657718211448758, -0.22994280257757674, -0.06618850187444729, -0.034261702097529635, -0.04787440909442644, -0.03189807767312683, -0.2863812744815616, 0.11843435909307615, -0.03748615174257058, -0.059550478154502755, -0.06049305843750794, -0.13008685566894446, -0.026540855330527358, -0.04836734410223439, 0.1263978547913663, -0.05568123968806884, 0.2110722120719176, -0.2102038348869731, -0.14784069356330215, 0.4049061204386043, -0.11569038681334615, -0.1557066476448102, 0.25737175909003096, -0.1067256635642802, -0.15931093205321342, 0.17083010603904936, 0.2075889655153584, 0.0715591726834549, -0.17411679650676695, 0.13875816399000374, -0.050811759180534655, 0.1930258019915237, 0.030090986305174042, 0.04643257685890752, 0.3056572325369145, 0.21133884241976214, 0.08270622404450749, 0.042051239165391587, -0.10007692614391922, -0.07462345086804308, -0.3840484412874967, -0.11301933289076208, -0.07600807162589585, 0.03389542568012649, -0.056643855267787244, -0.09680833691295157, 0.33082224412140904, 0.14283709301438235, 0.2567036374462174, 0.032621456083101845, 0.3213167921606953, 0.08427774922671259, 0.06482262573149616, 0.013406116646158853, 0.3361027487487605, 0.12130124506983139, 0.013244316255977603, -0.16343842053303745, 0.03776100250819685, 0.0004034346062029507] |
711.4867 | Infinitesimal Hecke algebra of sl_2 in positive characteristic | In this paper we consider an infinitesimal Hecke algebra of $sl_2$ in
positive characteristic. We show that it is a finitely generated module over
its center, and the smooth and the Azumaya loci of its center coincide.
| math.QA math.RT | in this paper we consider an infinitesimal hecke algebra of sl_2 in positive characteristic we show that it is a finitely generated module over its center and the smooth and the azumaya loci of its center coincide | [['in', 'this', 'paper', 'we', 'consider', 'an', 'infinitesimal', 'hecke', 'algebra', 'of', 'sl_2', 'in', 'positive', 'characteristic', 'we', 'show', 'that', 'it', 'is', 'a', 'finitely', 'generated', 'module', 'over', 'its', 'center', 'and', 'the', 'smooth', 'and', 'the', 'azumaya', 'loci', 'of', 'its', 'center', 'coincide']] | [-0.20118393182653832, 0.02834574464508773, -0.08357653973271718, 0.02473014729047144, -0.0626706695939238, -0.11277268284529045, -0.05605320045661584, 0.4049762628368429, -0.42981865337571584, -0.09885024878422956, 0.10479914935028835, -0.23202130792511477, -0.18140995192870096, 0.23111872060375438, -0.1772317773335286, -0.09012040637144064, 0.0738975684586409, 0.20292779219311638, -0.07070537540130317, -0.27373083669226617, 0.4520597274641733, 0.019118640445978254, 0.21619346165224104, 0.04332001070567482, 0.1887910230890722, 0.016602965902436425, 0.0002734936975144051, -0.05077181867248303, -0.1250722363814979, 0.1347080005232144, 0.32655482114972295, 0.08888448195884356, 0.22960596949466178, -0.33934178963504935, -0.05443787750964229, 0.24334513244999423, 0.16888514430438345, 0.046495690790785325, -0.04943833001763434, -0.2439162691904081, 0.17260054308241485, -0.2604050945389915, -0.15289104480699106, -0.002731499941767873, 0.07664901780820377, -0.01547351263060763, -0.1928859107397698, -0.014001872692559217, 0.10841350081200535, 0.21731734527526675, -0.13373245994208027, -0.055690381650787754, -0.10303350872788075, 0.0887689356742477, -0.016764154579062517, 0.013565753344320567, 0.16412792948854937, -0.08190326462499797, -0.13443705017483365, 0.31520409972683805, -0.05556308624108095, -0.20303792184269107, 0.14919305411545006, -0.2389407185334209, -0.1368045059309618, 0.11026136876662841, 0.06799756493922826, 0.1531382009593103, 0.0235003600954204, 0.252361374526486, -0.1503347272204386, 0.021057180380700407, 0.07046318444347865, -0.0782104415592511, 0.16613736788968783, 0.06223785991755289, 0.10558770841138589, 0.1217655385970264, -0.02717213739162764, -0.020712242650522572, -0.39689676242100225, -0.23244151065277086, -0.12364827179526156, 0.10249166726763989, -0.06909686095329833, -0.15904897839032314, 0.4619818024236608, 0.14555068424827344, 0.23144635862696009, 0.1274132398838127, 0.2069576984724483, 0.1099869234336389, 0.10780218288906522, 0.0647053739081162, 0.11671118468448922, 0.20684608973159985, -0.025425460054287436, -0.19106557305172286, -0.06410233238460245, 0.11468650580610375] |
711.4868 | String Dynamics, Spontaneous Breaking of Supersymmetry and Dual Scalar
Field Theory | The dynamics of a vortex string, which describes the Nambu-Goldtone modes of
the spontaneous breakdown of the target space D=4, N=1 supersymmetry and
internal $U(1)_R$ symmetry to the world sheet ISO(1,1) symmetry, is constructed
by using the approach of nonlinear realization. The resulting action describing
the low energy oscillations of the string into the covolume (super)space is
found to have an invariant synthesis form of the Akulov-Volkov and Nambu-Goto
actions. Its dual scalar field action is obtained by means of introducing two
vectorial Lagrangian multipliers into the action of the string
| hep-th | the dynamics of a vortex string which describes the nambugoldtone modes of the spontaneous breakdown of the target space d4 n1 supersymmetry and internal u1_r symmetry to the world sheet iso11 symmetry is constructed by using the approach of nonlinear realization the resulting action describing the low energy oscillations of the string into the covolume superspace is found to have an invariant synthesis form of the akulovvolkov and nambugoto actions its dual scalar field action is obtained by means of introducing two vectorial lagrangian multipliers into the action of the string | [['the', 'dynamics', 'of', 'a', 'vortex', 'string', 'which', 'describes', 'the', 'nambugoldtone', 'modes', 'of', 'the', 'spontaneous', 'breakdown', 'of', 'the', 'target', 'space', 'd4', 'n1', 'supersymmetry', 'and', 'internal', 'u1_r', 'symmetry', 'to', 'the', 'world', 'sheet', 'iso11', 'symmetry', 'is', 'constructed', 'by', 'using', 'the', 'approach', 'of', 'nonlinear', 'realization', 'the', 'resulting', 'action', 'describing', 'the', 'low', 'energy', 'oscillations', 'of', 'the', 'string', 'into', 'the', 'covolume', 'superspace', 'is', 'found', 'to', 'have', 'an', 'invariant', 'synthesis', 'form', 'of', 'the', 'akulovvolkov', 'and', 'nambugoto', 'actions', 'its', 'dual', 'scalar', 'field', 'action', 'is', 'obtained', 'by', 'means', 'of', 'introducing', 'two', 'vectorial', 'lagrangian', 'multipliers', 'into', 'the', 'action', 'of', 'the', 'string']] | [-0.17527906815941807, 0.19691915181610967, -0.06560317252555656, 0.05555850124219432, -0.10042892352212221, -0.09111542847628394, -0.029444951719293993, 0.2977975689288643, -0.24022299708384606, -0.2723526392132044, 0.08715512008509702, -0.2283852330926392, -0.14651573962635464, 0.09930328768160608, -0.028029287844482394, 0.033405364159261805, -0.036784425789179905, 0.09718967465062936, -0.07051645268996556, -0.21490176785737275, 0.32622081263818675, 0.024207879701215358, 0.30825860236719665, -0.012816573255178002, 0.1738359518452651, 0.0024922097994325063, 0.007039107150760376, -0.014641943362140511, -0.08000098371040723, 0.15340341656895665, 0.16373425803095515, 0.09437937390887075, 0.1298617665655911, -0.4640080192643735, -0.21720082404919797, 0.05394233961900075, 0.14246761553610365, 0.14116948201295196, -0.030279170680377217, -0.32887634278999434, 0.05347496048650808, -0.13500205707839794, -0.16089563473231264, -0.08901222057433592, 0.007112657155893329, -0.09065012986668282, -0.23345864599363672, 0.02280773733639055, 0.050165846405757795, 0.05538240762834903, -0.09737207336066704, -0.025620212062171452, -0.11101736678845353, 0.08165870777641733, 0.14254830270333008, 0.07861410687263641, 0.1624325710012474, -0.18916621528979805, -0.1340860855778576, 0.432769718973173, -0.07709508766937587, -0.2392420633489059, 0.09482714939448568, -0.11413470836770204, -0.1113204611180764, 0.15394862138717952, 0.08474191522432697, 0.12463424898580544, -0.13688192470775296, 0.21422760355344508, -0.030391235639237697, 0.1167866795191205, 0.0919646634409825, 0.023815248182250393, 0.22680037977794806, 0.15410711464420374, 0.038483568355958495, 0.1563121264777793, -0.024801504684405194, -0.13915422377176584, -0.38723222145603764, -0.11748523437935444, -0.13231472498995978, 0.09395247774405611, -0.10166728265758138, -0.15386270632863872, 0.43895228234274936, 0.04866943231318146, 0.1720860062293165, 0.03586532546129698, 0.21509530916810035, 0.14572290717106726, 0.09719592428041829, 0.022139770139215722, 0.2105232010078099, 0.1507864303007308, 0.029614287159509128, -0.31351677640405895, -0.12885355968675058, 0.19753201948478818] |
711.4869 | Time decay for Schroedinger equation with rough potentials | We obtain certain time decay and regularity estimates for 3D Schroedinger
equation with a potential in the Kato class by using Besov spaces associated
with Schroedinger operators.
| math.AP | we obtain certain time decay and regularity estimates for 3d schroedinger equation with a potential in the kato class by using besov spaces associated with schroedinger operators | [['we', 'obtain', 'certain', 'time', 'decay', 'and', 'regularity', 'estimates', 'for', '3d', 'schroedinger', 'equation', 'with', 'a', 'potential', 'in', 'the', 'kato', 'class', 'by', 'using', 'besov', 'spaces', 'associated', 'with', 'schroedinger', 'operators']] | [-0.04412498973585941, 0.0734453097468725, -0.020766712311241362, 0.12632639512971597, -0.09066344075836241, -0.1457763471364699, -0.06766371904975838, 0.3300018972820706, -0.27357860702883313, -0.21776701544445973, 0.14902619113369533, -0.28911551874544883, -0.10365896340873507, 0.22248002648767498, -0.06433519110497501, 0.19701943367167754, 0.10075818961141286, 0.0320920638602089, -0.16722311915967752, -0.21156123894508239, 0.49939787201583385, -0.039431096606508446, 0.1603627966509925, -0.018831505888590106, 0.058919178459931304, -0.017119205712030332, 0.008769612724858301, -0.05492369609850424, -0.22810980472368775, 0.14381267440815768, 0.18454070605717046, -0.022692949683577927, 0.3405124053910927, -0.4111130703930502, -0.293592506778185, 0.17227794912954172, 0.09567218798178213, 0.04219137956560762, -0.1093805435768984, -0.4345316743409192, 0.0341897987484656, -0.06401443440053198, -0.2374237962929463, -0.14329466817003708, 0.026450134123916978, 0.12145659058458275, -0.3635042562942814, 0.16189495575855728, -0.003844079035506756, 0.015589263876555142, -0.29480684879753327, -0.04618573388843625, -0.01894415701153102, 0.027066395635268203, -0.006879914000078484, 0.05252894352155703, -0.008469511530603524, -0.10430269550394129, -0.12043124242444281, 0.31978552678117045, -0.13841759334145873, -0.3210225228082251, 0.09771037695032579, -0.19022066839453247, -0.069582377663917, 0.08864982840087679, 0.14815648120862465, 0.12172458714081182, -0.12669224467956358, 0.20250715011584194, -0.02626161877479818, 0.07751104746151853, 0.09415657066360668, 0.08590643783962285, -0.022947349620086176, 0.13208243414690649, 0.12218647353627064, 0.10897278202766622, -0.013678314356150589, -0.07579641103425443, -0.38521248157377597, -0.15868786122235987, -0.15792358211345142, 0.1545237553547378, -0.13538452382662972, -0.2058191957573096, 0.4004386611006878, 0.10547661360491205, 0.18102759764426285, 0.168866955537211, 0.09826456879576047, 0.23316852368966298, 0.05148849681157757, 0.10517693652460973, 0.13369805200232399, 0.20983050778266732, 0.20137205909661673, -0.1836788979255491, -0.04765034070307458, 0.312093949376571] |
711.487 | Bright bichromatic entanglement and quantum dynamics of sum frequency
generation | We investigate the quantum properties of the well-known process of sum
frequency generation, showing that it is potentially a very useful source of
non-classical states of the electromagnetic field, some of which are not
possible with the more common techniques. We show that it can produce
quadrature squeezed light, bright bichromatic entangled states and symmetric
and asymmetric demonstrations of the Einstein-Podolsky-Rosen paradox. We also
show that the semiclassical equations totally fail to describe the mean-field
dynamics when the cavity is strongly pumped.
| quant-ph | we investigate the quantum properties of the wellknown process of sum frequency generation showing that it is potentially a very useful source of nonclassical states of the electromagnetic field some of which are not possible with the more common techniques we show that it can produce quadrature squeezed light bright bichromatic entangled states and symmetric and asymmetric demonstrations of the einsteinpodolskyrosen paradox we also show that the semiclassical equations totally fail to describe the meanfield dynamics when the cavity is strongly pumped | [['we', 'investigate', 'the', 'quantum', 'properties', 'of', 'the', 'wellknown', 'process', 'of', 'sum', 'frequency', 'generation', 'showing', 'that', 'it', 'is', 'potentially', 'a', 'very', 'useful', 'source', 'of', 'nonclassical', 'states', 'of', 'the', 'electromagnetic', 'field', 'some', 'of', 'which', 'are', 'not', 'possible', 'with', 'the', 'more', 'common', 'techniques', 'we', 'show', 'that', 'it', 'can', 'produce', 'quadrature', 'squeezed', 'light', 'bright', 'bichromatic', 'entangled', 'states', 'and', 'symmetric', 'and', 'asymmetric', 'demonstrations', 'of', 'the', 'einsteinpodolskyrosen', 'paradox', 'we', 'also', 'show', 'that', 'the', 'semiclassical', 'equations', 'totally', 'fail', 'to', 'describe', 'the', 'meanfield', 'dynamics', 'when', 'the', 'cavity', 'is', 'strongly', 'pumped']] | [-0.13152058972130962, 0.20867935253488945, -0.12579267553803397, 0.08889203085419001, -0.07166377381171758, -0.17226671237248656, 0.01267378079767407, 0.4142185092176788, -0.27041499534758123, -0.2175702855854136, 0.05137450016876001, -0.2643495929177578, -0.16608242244777702, 0.2359281044407952, -0.03542885479585427, 0.04206397692763769, 0.09298463978963654, 0.03721550768014134, 0.003299898873282051, -0.22841022883700887, 0.324983377350358, -0.003800359414038589, 0.2952292021250398, 0.05805831012974789, 0.09515681015554725, -0.006592829422116643, 0.04273623200247019, -0.011841964510428469, -0.06747115331994037, 0.10090663602075926, 0.24054340950054368, 0.13635853133675438, 0.235404051431432, -0.41193995728134747, -0.2141795229257607, 0.1354691042769246, 0.11852616232127042, 0.18989559449681376, -0.05196827018250876, -0.32066273738107665, 0.02811908929199889, -0.14106034977849935, -0.17866057222254755, -0.12366007529653428, -0.008566468674405591, 0.04471527594823118, -0.235034655421836, 0.06276415506194676, 0.10507679101372161, -0.03557005496241334, 0.005932224451609683, -0.04123190246386135, -0.02127129500504674, 0.05211456632703009, -0.02235698253349344, -0.031050222825043175, 0.09002677663499149, -0.1641151332750735, -0.14341535272712752, 0.373801777003015, -0.07141988823849071, -0.17606652625154975, 0.17606167194274505, -0.17985829638839676, -0.06642676559958334, 0.1071048617056321, 0.10854248320343109, 0.15534408131001018, -0.1183748187111455, -0.0074300301281121995, -0.07842071932490642, 0.18504796347938615, 0.08271510277096773, 0.1342509569111848, 0.23200501587877914, 0.07605803963194442, 0.05135245966475185, 0.20150828653969233, -0.08410559538978993, -0.14438653391538891, -0.3216602184239025, -0.12358823331731666, -0.2032791350190187, 0.09277271123893314, -0.04824198899373963, -0.16901401306570665, 0.3985454380375946, 0.16308570410715553, 0.1150208718438701, -0.019479810917556923, 0.29589360810407417, 0.16480085972651112, 0.03434672403694471, 0.06995140929797256, 0.2934561562216869, 0.16449592870421617, 0.04486506063173094, -0.2723784577200848, -0.0035590839390529363, -0.037057166294444624] |
711.4871 | A random walk on Z with drift driven by its occupation time at zero | We consider a nearest neighbor random walk on the one-dimensional integer
lattice with drift towards the origin determined by an asymptotically vanishing
function of the number of visits to zero. We show the existence of distinct
regimes according to the rate of decay of the drift. In particular, when the
rate is sufficiently slow, the position of the random walk, properly
normalized, converges to a symmetric exponential law. In this regime, in
contrast to the classical case, the range of the walk scales differently from
its position.
| math.PR | we consider a nearest neighbor random walk on the onedimensional integer lattice with drift towards the origin determined by an asymptotically vanishing function of the number of visits to zero we show the existence of distinct regimes according to the rate of decay of the drift in particular when the rate is sufficiently slow the position of the random walk properly normalized converges to a symmetric exponential law in this regime in contrast to the classical case the range of the walk scales differently from its position | [['we', 'consider', 'a', 'nearest', 'neighbor', 'random', 'walk', 'on', 'the', 'onedimensional', 'integer', 'lattice', 'with', 'drift', 'towards', 'the', 'origin', 'determined', 'by', 'an', 'asymptotically', 'vanishing', 'function', 'of', 'the', 'number', 'of', 'visits', 'to', 'zero', 'we', 'show', 'the', 'existence', 'of', 'distinct', 'regimes', 'according', 'to', 'the', 'rate', 'of', 'decay', 'of', 'the', 'drift', 'in', 'particular', 'when', 'the', 'rate', 'is', 'sufficiently', 'slow', 'the', 'position', 'of', 'the', 'random', 'walk', 'properly', 'normalized', 'converges', 'to', 'a', 'symmetric', 'exponential', 'law', 'in', 'this', 'regime', 'in', 'contrast', 'to', 'the', 'classical', 'case', 'the', 'range', 'of', 'the', 'walk', 'scales', 'differently', 'from', 'its', 'position']] | [-0.1422232206504064, 0.18689817156065283, -0.057835130920184066, 0.01011066701284599, -0.015793756249992328, -0.14476321758595348, 0.08427823304958727, 0.35082435721381644, -0.3121395003714267, -0.19761492378324613, 0.10507434975334454, -0.28838976060479193, -0.10851088406025679, 0.12729096292764291, -0.031277159859775736, 0.033904639757158045, 0.0022043333891993283, 0.08929500592358668, -0.02386604980083889, -0.2500964592227006, 0.28667513259697236, 0.05697329085181071, 0.27059253392173727, -0.005535959544452442, 0.10237867657052374, 0.048750691297838745, 0.008986087135927773, 0.01320163502775055, -0.15547153309801187, 0.03842776901377686, 0.13402280277818784, 0.012763962534994915, 0.3070649967967779, -0.3691530766543643, -0.1677833580165759, 0.1663735518981328, 0.16824466003982844, 0.11309145046290996, -0.006977257259248959, -0.255084933806746, 0.1033375219350959, -0.10767229809693393, -0.20114090705247617, 0.040342150260052036, 0.06320376900806167, 0.09614182901622235, -0.27372154390075426, 0.09525067113532588, 0.083231457391347, -0.00474050620185404, -0.019166343686192286, -0.08358796324109895, 0.018808192594897473, 0.15150756881225735, 0.0871036969802353, 0.0407719352635844, 0.11537751959015925, -0.11088391936426961, -0.10782331867871442, 0.3638190058991313, -0.13020236452441963, -0.22321219041765583, 0.1807015941467607, -0.24150174108451639, -0.07792013095177967, 0.13140665264479046, 0.1657545698763824, 0.13604777072057536, -0.10120540898880016, 0.10179749995084672, -0.038628743394096006, 0.11820901356652197, 0.038016829331908586, 0.016614564726578778, 0.192242838522612, 0.11925206431348262, 0.13980737454846673, 0.17276803307749075, -0.11467826411652582, -0.17260306611143308, -0.315664645755428, -0.11757419617637864, -0.2631828684531067, 0.09343835132346413, -0.15796746272893472, -0.2025028724094917, 0.40070335417129527, 0.13166880792464483, 0.2766203386387948, 0.1352516787297938, 0.22324021912083544, 0.17064926209163733, -0.006826814258706638, 0.07973140452333777, 0.19536260684588175, 0.1266842883604782, 0.08107568321738863, -0.2470481659194733, 0.07916966058720631, 0.09246276412694447] |
711.4872 | Large deviations for random walk in a space--time product environment | We consider random walk $(X_n)_{n\geq0}$ on $\mathbb{Z}^d$ in a space--time
product environment $\omega\in\Omega$. We take the point of view of the
particle and focus on the environment Markov chain $(T_{n,X_n}\omega)_{n\geq0}$
where $T$ denotes the shift on $\Omega$. Conditioned on the particle having
asymptotic mean velocity equal to any given $\xi$, we show that the empirical
process of the environment Markov chain converges to a stationary process
$\mu_{\xi}^{\infty}$ under the averaged measure. When $d\geq3$ and $\xi$ is
sufficiently close to the typical velocity, we prove that averaged and quenched
large deviations are equivalent and when conditioned on the particle having
asymptotic mean velocity $\xi$, the empirical process of the environment Markov
chain converges to $\mu_{\xi}^{\infty}$ under the quenched measure as well. In
this case, we show that $\mu_{\xi}^{\infty}$ is a stationary Markov process
whose kernel is obtained from the original kernel by a Doob $h$-transform.
| math.PR | we consider random walk x_n_ngeq0 on mathbbzd in a spacetime product environment omegainomega we take the point of view of the particle and focus on the environment markov chain t_nx_nomega_ngeq0 where t denotes the shift on omega conditioned on the particle having asymptotic mean velocity equal to any given xi we show that the empirical process of the environment markov chain converges to a stationary process mu_xiinfty under the averaged measure when dgeq3 and xi is sufficiently close to the typical velocity we prove that averaged and quenched large deviations are equivalent and when conditioned on the particle having asymptotic mean velocity xi the empirical process of the environment markov chain converges to mu_xiinfty under the quenched measure as well in this case we show that mu_xiinfty is a stationary markov process whose kernel is obtained from the original kernel by a doob htransform | [['we', 'consider', 'random', 'walk', 'x_n_ngeq0', 'on', 'mathbbzd', 'in', 'a', 'spacetime', 'product', 'environment', 'omegainomega', 'we', 'take', 'the', 'point', 'of', 'view', 'of', 'the', 'particle', 'and', 'focus', 'on', 'the', 'environment', 'markov', 'chain', 't_nx_nomega_ngeq0', 'where', 't', 'denotes', 'the', 'shift', 'on', 'omega', 'conditioned', 'on', 'the', 'particle', 'having', 'asymptotic', 'mean', 'velocity', 'equal', 'to', 'any', 'given', 'xi', 'we', 'show', 'that', 'the', 'empirical', 'process', 'of', 'the', 'environment', 'markov', 'chain', 'converges', 'to', 'a', 'stationary', 'process', 'mu_xiinfty', 'under', 'the', 'averaged', 'measure', 'when', 'dgeq3', 'and', 'xi', 'is', 'sufficiently', 'close', 'to', 'the', 'typical', 'velocity', 'we', 'prove', 'that', 'averaged', 'and', 'quenched', 'large', 'deviations', 'are', 'equivalent', 'and', 'when', 'conditioned', 'on', 'the', 'particle', 'having', 'asymptotic', 'mean', 'velocity', 'xi', 'the', 'empirical', 'process', 'of', 'the', 'environment', 'markov', 'chain', 'converges', 'to', 'mu_xiinfty', 'under', 'the', 'quenched', 'measure', 'as', 'well', 'in', 'this', 'case', 'we', 'show', 'that', 'mu_xiinfty', 'is', 'a', 'stationary', 'markov', 'process', 'whose', 'kernel', 'is', 'obtained', 'from', 'the', 'original', 'kernel', 'by', 'a', 'doob', 'htransform']] | [-0.09232403963646839, 0.17979970064774994, -0.09202015112665757, 0.06939982831697218, 0.012969217840319788, -0.12523899323136453, 0.06640634271332627, 0.42042564102251767, -0.27599373232888086, -0.16795363944535419, 0.11720815351934658, -0.27921820562300076, -0.07753989615635028, 0.12558015686964852, -0.044619839707337, 0.05365887010128985, 0.07899548283869952, 0.13770537545353595, -0.018392931684707358, -0.20525409177791748, 0.32786100552561626, 0.04094603091714458, 0.26924754678547175, -0.01969687273958698, 0.18179688125875004, 0.042870626756986996, -0.007880749621979473, -0.0011337161405195653, -0.16317982553141838, 0.015264722577650363, 0.11284483244813139, 0.062327543701517434, 0.2795838742897334, -0.3476265628336811, -0.16900596536800894, 0.1918231762001212, 0.14575584925724272, 0.04919200640460345, 0.02640210862458408, -0.3303555371879246, 0.09890504985634552, -0.11317297527697724, -0.1499385216870201, -0.0059279753321545645, 0.034642092247401744, 0.07419636846244546, -0.32108504434024365, 0.07604367062646214, 0.11306901249303286, 0.043720928053568364, -0.01756861760989356, -0.10645587525238663, -0.013958875176785382, 0.10667845548637224, 0.06302197650566854, 0.0454449280801321, 0.1888271827335981, -0.06472656130954675, -0.06100475938472582, 0.3441324584238546, -0.14970235726271403, -0.2514703216582117, 0.17644093487031337, -0.20069310942363047, -0.14538506674252347, 0.10387482481654471, 0.16729131572335487, 0.13182778654515115, -0.1344655708413535, 0.17071997190491153, -0.06818611966773973, 0.12321134452797426, 0.02574658698671248, -0.02370683607173113, 0.1356498938362101, 0.14702827602577342, 0.13084381910100001, 0.19003709398774088, -0.09005813571316203, -0.18740240565146987, -0.3217071411527798, -0.15277881653074332, -0.2504437077711795, 0.14647964366488683, -0.15612446975486, -0.21016180224414968, 0.295830828688619, 0.16810469034406095, 0.2204039917117588, 0.14965183474123478, 0.20452188104915786, 0.17823499383349103, -0.050646740933765436, 0.1144177527544023, 0.11023041748927093, 0.15661007560245221, 0.07436956555753106, -0.19496557040592577, 0.1218315594711564, 0.08359689582270426] |
711.4873 | Combining Visual and Photoelectric Observations of Semi-Regular Red
Variables | Combining visual observations of SR variables with measurements of them using
a photoelectric photometer is discussed then demonstrated using data obtained
for the bright, southern SR variable theta Aps. Combining such observations is
useful in that it can provide a more comprehensive set of data by extending the
temporal coverage of the light curve. Typically there are systematic
differences in the visual and photometric datasets that must be corrected for.
| astro-ph | combining visual observations of sr variables with measurements of them using a photoelectric photometer is discussed then demonstrated using data obtained for the bright southern sr variable theta aps combining such observations is useful in that it can provide a more comprehensive set of data by extending the temporal coverage of the light curve typically there are systematic differences in the visual and photometric datasets that must be corrected for | [['combining', 'visual', 'observations', 'of', 'sr', 'variables', 'with', 'measurements', 'of', 'them', 'using', 'a', 'photoelectric', 'photometer', 'is', 'discussed', 'then', 'demonstrated', 'using', 'data', 'obtained', 'for', 'the', 'bright', 'southern', 'sr', 'variable', 'theta', 'aps', 'combining', 'such', 'observations', 'is', 'useful', 'in', 'that', 'it', 'can', 'provide', 'a', 'more', 'comprehensive', 'set', 'of', 'data', 'by', 'extending', 'the', 'temporal', 'coverage', 'of', 'the', 'light', 'curve', 'typically', 'there', 'are', 'systematic', 'differences', 'in', 'the', 'visual', 'and', 'photometric', 'datasets', 'that', 'must', 'be', 'corrected', 'for']] | [-0.07353363201920209, 0.054657881540645444, -0.11971826790166752, 0.05951416436915419, -0.09141105843175734, -0.141536960045674, 0.08234204353232469, 0.4403801830818078, -0.2179957986410175, -0.3201099941640028, 0.13339537016581743, -0.3360144163215799, -0.09580035821667739, 0.267692188359797, -0.11231095013208688, 0.021428496623411775, 0.11324820324246372, -0.04849818154928341, -0.05607251848227211, -0.24754478935418384, 0.2638482273090631, 0.06398584004491567, 0.20239095546837363, -0.04242094056015568, 0.0992511164413632, -0.004230040777474642, -0.14026737726360028, 0.07261487175045268, -0.07765097969282318, 0.12813975933407035, 0.30570676956724907, 0.18553904624921935, 0.19593885132510747, -0.3851796096889302, -0.2627045617704945, 0.054347604007593225, 0.12914908861608376, 0.02378969482732438, -0.06647184410435979, -0.31642977949231865, 0.06239264329363193, -0.07704018828226253, -0.0840190811348813, -0.09892498051215495, 0.05030881049377578, 0.053857916433896334, -0.29421321479603646, 0.04631698289886117, -0.009966918640670234, 0.15947186228420054, -0.05132274459382253, -0.116106545632439, -0.042193787741208716, 0.12500732313575488, 0.01202494067672108, 0.06557210449661527, 0.057083576412073206, -0.0996817119818713, -0.05977189299384398, 0.3815990538602429, -0.08656963852034616, -0.12037228836811015, 0.14498030532683645, -0.1507990811485797, -0.15268265438000006, 0.13570795145684056, 0.12307473218201527, 0.1089187042654625, -0.20518012292949217, 0.01204155380920773, -0.03479100020070161, 0.20825601539441518, 0.04344506486585098, 0.07480864910674946, 0.239043117181531, 0.19777681545487472, -0.0063190019290362085, 0.10314551212525527, -0.2288508072865495, -0.02171863747394777, -0.2754780928105382, -0.08864712369229112, -0.16016812607912082, -0.013899247321699346, -0.12735741490344352, -0.06717641301719206, 0.37554382905364037, 0.16656690648357783, 0.1863949176190155, 0.02403824349333133, 0.31494840516575745, 0.09981836432561977, 0.08731858134269714, 0.04110792969752635, 0.2755919740302488, 0.0679974661641089, 0.10170850637535166, -0.1494203207881323, 0.0441295183130673, -0.03279737492557615] |
711.4874 | Asymmetric Nuclear Matter with Pion Dressing | We discuss a self-consistent method to calculate the properties of cold
asymmetric nuclear matter which is dressed with isoscalar scalar pion
condensates. The nucleon-nucleon interaction is mediated by these pion pairs,
omega- and rho- mesons. The parameters of these interactions are evaluated
self-consistently using the saturation properties of nuclear matter like
binding energy, pressure, compressibility and symmetry energy. The computed
equation of state of pure neutron matter (PNM) is used to calculate mass and
radius of a pure neutron star.
| nucl-th | we discuss a selfconsistent method to calculate the properties of cold asymmetric nuclear matter which is dressed with isoscalar scalar pion condensates the nucleonnucleon interaction is mediated by these pion pairs omega and rho mesons the parameters of these interactions are evaluated selfconsistently using the saturation properties of nuclear matter like binding energy pressure compressibility and symmetry energy the computed equation of state of pure neutron matter pnm is used to calculate mass and radius of a pure neutron star | [['we', 'discuss', 'a', 'selfconsistent', 'method', 'to', 'calculate', 'the', 'properties', 'of', 'cold', 'asymmetric', 'nuclear', 'matter', 'which', 'is', 'dressed', 'with', 'isoscalar', 'scalar', 'pion', 'condensates', 'the', 'nucleonnucleon', 'interaction', 'is', 'mediated', 'by', 'these', 'pion', 'pairs', 'omega', 'and', 'rho', 'mesons', 'the', 'parameters', 'of', 'these', 'interactions', 'are', 'evaluated', 'selfconsistently', 'using', 'the', 'saturation', 'properties', 'of', 'nuclear', 'matter', 'like', 'binding', 'energy', 'pressure', 'compressibility', 'and', 'symmetry', 'energy', 'the', 'computed', 'equation', 'of', 'state', 'of', 'pure', 'neutron', 'matter', 'pnm', 'is', 'used', 'to', 'calculate', 'mass', 'and', 'radius', 'of', 'a', 'pure', 'neutron', 'star']] | [-0.10395561547484249, 0.27169859611894936, -0.13142119540498243, 0.14906533141474937, -0.052826648449990896, -0.07153778698993847, 0.001181358192116022, 0.3277557746740058, -0.195578743214719, -0.29742709039710463, -0.07247473848547088, -0.31351570625556635, 0.027984626109537204, 0.08634731044148794, 0.1537943623086903, 0.053682233148720115, -0.0009034806513227523, 0.11214426157530397, -0.11629035433288663, -0.15873988560633734, 0.41492923204787074, 0.00780292161507532, 0.18839141647331417, 0.16428213294711896, 0.05189288047840819, 0.005164199799764901, 0.013964395178481937, -0.04887658352963627, -0.17998888501315377, 0.04488002252765, 0.20130359375980333, 0.03876888983650133, 0.11059530843631364, -0.42416934564244, -0.2098975361790508, 0.11987404838437214, 0.10390700208372436, 0.11516262377699604, -0.0792423891602084, -0.2960422665812075, 0.03236503122607246, -0.2673089530901052, -0.18690280918381177, -0.15199689604341984, 0.02426172837149352, 0.07581286387285217, -0.2878416039282456, 0.16432541701360606, -0.053098173355101606, -0.05500748528866097, -0.15739640587125905, -0.2072931238915771, -0.054901123588206244, 0.0019985080347396434, 0.053622198433731685, 0.05910785140004009, 0.27013215558981757, -0.22426017603138462, -0.0304740824518376, 0.42632140053901824, -0.07162404633127153, -0.13001317884773017, 0.12388166203163564, -0.1299142379546538, -0.05656383740133606, 0.13474700881633908, 0.16328475566697306, 0.11997318220965099, -0.18970103207975625, 0.06827684939271421, -0.017626596314948985, 0.20526636878785212, 0.09176015279372222, 0.0424164128373377, 0.2503900981741026, 0.1735658524557948, -0.0727553807606455, 0.08631270382320508, -0.10453835646621883, -0.12326908133691176, -0.29605891153914854, -0.07285477056866511, -0.1682555782608688, 0.04936953187570907, -0.06659347130280366, -0.09901736372848972, 0.34181851157918575, 0.024153614020906388, 0.16719613168388606, -0.06476399993844098, 0.30606501796282826, 0.1183187269140035, 0.05089752520434558, 0.08945219908491708, 0.29791537646669897, 0.29436948437069077, 0.06742093996144831, -0.3931767815432977, -0.04154801229014993, 0.053325293760281056] |
711.4875 | The Lie-Poisson Structure of the Euler Equations of an Ideal Fluid | This paper provides a precise sense in which the time t map for the Euler
equations of an ideal fluid in a region in R^n (or a smooth compact n-manifold
with boundary) is a Poisson map relative to the Lie-Poisson bracket associated
with the group of volume preserving diffeomorphism group. This is interesting
and nontrivial because in Eulerian representation, the time t maps need not be
C^1 from the Sobolev class H^s to itself (where s > (n/2) + 1). The idea of how
this difficulty is overcome is to exploit the fact that one does have
smoothness in the Lagrangian representation and then carefully perform a
Lie-Poisson reduction procedure.
| math.AP math.DG | this paper provides a precise sense in which the time t map for the euler equations of an ideal fluid in a region in rn or a smooth compact nmanifold with boundary is a poisson map relative to the liepoisson bracket associated with the group of volume preserving diffeomorphism group this is interesting and nontrivial because in eulerian representation the time t maps need not be c1 from the sobolev class hs to itself where s n2 1 the idea of how this difficulty is overcome is to exploit the fact that one does have smoothness in the lagrangian representation and then carefully perform a liepoisson reduction procedure | [['this', 'paper', 'provides', 'a', 'precise', 'sense', 'in', 'which', 'the', 'time', 't', 'map', 'for', 'the', 'euler', 'equations', 'of', 'an', 'ideal', 'fluid', 'in', 'a', 'region', 'in', 'rn', 'or', 'a', 'smooth', 'compact', 'nmanifold', 'with', 'boundary', 'is', 'a', 'poisson', 'map', 'relative', 'to', 'the', 'liepoisson', 'bracket', 'associated', 'with', 'the', 'group', 'of', 'volume', 'preserving', 'diffeomorphism', 'group', 'this', 'is', 'interesting', 'and', 'nontrivial', 'because', 'in', 'eulerian', 'representation', 'the', 'time', 't', 'maps', 'need', 'not', 'be', 'c1', 'from', 'the', 'sobolev', 'class', 'hs', 'to', 'itself', 'where', 's', 'n2', '1', 'the', 'idea', 'of', 'how', 'this', 'difficulty', 'is', 'overcome', 'is', 'to', 'exploit', 'the', 'fact', 'that', 'one', 'does', 'have', 'smoothness', 'in', 'the', 'lagrangian', 'representation', 'and', 'then', 'carefully', 'perform', 'a', 'liepoisson', 'reduction', 'procedure']] | [-0.13332270830869675, 0.07484051918180301, -0.11457469816216165, 0.03319232171310836, -0.11915834483914767, -0.12515424092351976, -0.013010344294512092, 0.3330777979421395, -0.3392803477321717, -0.24998269995019115, 0.11036684783283379, -0.22820988385205124, -0.1403427166903081, 0.12158505198830324, -0.13785569820174715, 0.014833463037912562, 0.050535369345366406, 0.08503638758944969, -0.11595392890197857, -0.2219356153973085, 0.381656428626566, 0.00035128928289783224, 0.21622283925535157, 0.002279528550355247, 0.1473735628080451, -0.06514068760615946, -0.023244574431036773, 0.03292644946917857, -0.12826583990904006, 0.11091288795298035, 0.2622413798081753, 0.06018436389664809, 0.24956684528970746, -0.3879493197546927, -0.2039486734127557, 0.1580171837143738, 0.13005355809366814, 0.052931991029591126, -0.027133700987582818, -0.26170134869041956, 0.1115379592800444, -0.11748540272108382, -0.15309232518646038, -0.06693725342241426, 0.05754650966695475, -0.016458261671855493, -0.2776714020852793, 0.056129556709762524, 0.12380973572867839, 0.0433664135462432, -0.05709519618432279, -0.013942001986800245, -0.051617133694149005, 0.0971167300905883, 0.004911169431849245, 0.14684287564725512, 0.07618913482184764, -0.10146599865941054, -0.042517544206930324, 0.42159402905101023, -0.06268741643159753, -0.31102384502689046, 0.16563789184200922, -0.1591822140229245, -0.18167186648740122, 0.16554161706988924, 0.11388680422613914, 0.1305388495998664, -0.12351785759286334, 0.19266159690515552, -0.06536029292059269, 0.14540857093029277, 0.04676536086912232, -0.006006374821515271, 0.13219447656431133, 0.11530708056374418, 0.15096785512502753, 0.10798991384918163, -0.04893840211971784, -0.0659264295310196, -0.3467682873726719, -0.22749198080823085, -0.16966148721123184, 0.09311882314432296, -0.10159445866210498, -0.1619319265096069, 0.35360832253677976, 0.10915616722087618, 0.20748483916934304, 0.07768401730465013, 0.2644593453258966, 0.11401458661701461, 0.052471048832457096, 0.08865590252551353, 0.13951729443269195, 0.12895429146441598, 0.08132486175573259, -0.17852327992053083, -0.004867862875538843, 0.1688856573891826] |
711.4876 | Optimal Decompositions of Translations of $L^{2}$-functions | In this paper we offer a computational approach to the spectral function for
a finite family of commuting operators, and give applications. Motivated by
questions in wavelets and in signal processing, we study a problem about
spectral concentration of integral translations of functions in the Hilbert
space $L^{2}(\mathbb{R}^{n})$. Our approach applies more generally to families
of $n$ arbitrary commuting unitary operators in a complex Hilbert space
$\mathcal{H}$, or equivalent the spectral theory of a unitary representation
$U$ of the rank-$n$ lattice $\mathbb{Z}^{n}$ in $\mathbb{R}^{n}$. Starting with
a non-zero vector $\psi \in \mathcal{H}$, we look for relations among the
vectors in the cyclic subspace in $\mathcal{H}$ generated by $\psi$. Since
these vectors $\{U(k)\psi | k \in \mathbb{Z}^{n}\}$ involve infinite ``linear
combinations," the problem arises of giving geometric characterizations of
these non-trivial linear relations. A special case of the problem arose
initially in work of Kolmogorov under the name $L^{2}$-independence. This
refers to \textit{infinite} linear combinations of integral translates of a
fixed function with $l^{2}$-coefficients. While we were motivated by the study
of translation operators arising in wavelet and frame theory, we stress that
our present results are general; our theorems are about spectral densities for
general unitary operators, and for stochastic integrals.
| math.FA math.SP | in this paper we offer a computational approach to the spectral function for a finite family of commuting operators and give applications motivated by questions in wavelets and in signal processing we study a problem about spectral concentration of integral translations of functions in the hilbert space l2mathbbrn our approach applies more generally to families of n arbitrary commuting unitary operators in a complex hilbert space mathcalh or equivalent the spectral theory of a unitary representation u of the rankn lattice mathbbzn in mathbbrn starting with a nonzero vector psi in mathcalh we look for relations among the vectors in the cyclic subspace in mathcalh generated by psi since these vectors ukpsi k in mathbbzn involve infinite linear combinations the problem arises of giving geometric characterizations of these nontrivial linear relations a special case of the problem arose initially in work of kolmogorov under the name l2independence this refers to textitinfinite linear combinations of integral translates of a fixed function with l2coefficients while we were motivated by the study of translation operators arising in wavelet and frame theory we stress that our present results are general our theorems are about spectral densities for general unitary operators and for stochastic integrals | [['in', 'this', 'paper', 'we', 'offer', 'a', 'computational', 'approach', 'to', 'the', 'spectral', 'function', 'for', 'a', 'finite', 'family', 'of', 'commuting', 'operators', 'and', 'give', 'applications', 'motivated', 'by', 'questions', 'in', 'wavelets', 'and', 'in', 'signal', 'processing', 'we', 'study', 'a', 'problem', 'about', 'spectral', 'concentration', 'of', 'integral', 'translations', 'of', 'functions', 'in', 'the', 'hilbert', 'space', 'l2mathbbrn', 'our', 'approach', 'applies', 'more', 'generally', 'to', 'families', 'of', 'n', 'arbitrary', 'commuting', 'unitary', 'operators', 'in', 'a', 'complex', 'hilbert', 'space', 'mathcalh', 'or', 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711.4877 | Renormalized Effective Actions in Radially Symmetric Backgrounds: Exact
Calculations Versus Approximation Methods | Our previously-developed calculational method (the partial wave cutoff
method) is employed to evaluate explicitly scalar one-loop effective actions in
a class of radially symmetric background gauge fields. Our method proves to be
particularly effective when it is used in conjunction with a systematic WKB
series for the large partial wave contribution to the effective action. By
comparing these numerically exact calculations against the predictions based on
the large mass expansion and derivative expansion, we discuss the validity
ranges of the latter approximation methods.
| hep-th | our previouslydeveloped calculational method the partial wave cutoff method is employed to evaluate explicitly scalar oneloop effective actions in a class of radially symmetric background gauge fields our method proves to be particularly effective when it is used in conjunction with a systematic wkb series for the large partial wave contribution to the effective action by comparing these numerically exact calculations against the predictions based on the large mass expansion and derivative expansion we discuss the validity ranges of the latter approximation methods | [['our', 'previouslydeveloped', 'calculational', 'method', 'the', 'partial', 'wave', 'cutoff', 'method', 'is', 'employed', 'to', 'evaluate', 'explicitly', 'scalar', 'oneloop', 'effective', 'actions', 'in', 'a', 'class', 'of', 'radially', 'symmetric', 'background', 'gauge', 'fields', 'our', 'method', 'proves', 'to', 'be', 'particularly', 'effective', 'when', 'it', 'is', 'used', 'in', 'conjunction', 'with', 'a', 'systematic', 'wkb', 'series', 'for', 'the', 'large', 'partial', 'wave', 'contribution', 'to', 'the', 'effective', 'action', 'by', 'comparing', 'these', 'numerically', 'exact', 'calculations', 'against', 'the', 'predictions', 'based', 'on', 'the', 'large', 'mass', 'expansion', 'and', 'derivative', 'expansion', 'we', 'discuss', 'the', 'validity', 'ranges', 'of', 'the', 'latter', 'approximation', 'methods']] | [-0.08068876204793397, 0.06358651494809303, -0.10133198064510678, 0.14035030807009394, -0.09658379574216543, -0.06541757934154516, 0.022606065252750933, 0.36523135712213184, -0.18787446180470738, -0.26666906794690226, 0.09038177674007883, -0.24841628936736518, -0.14595621906737066, 0.18385510422367918, 0.026777609980788576, 0.08016733175104326, 0.033721904907128716, 0.028364948768460428, -0.08343124389648438, -0.24694618860439185, 0.3313272579023278, 0.06301358172176294, 0.2838282384292548, 0.07913273981111742, 0.08236649878188429, 0.014102648468183196, -0.06415967849722828, 0.02808106592463621, -0.10639327887378364, 0.12889077400940144, 0.2323564711778638, 0.04175935049978904, 0.2338541081870895, -0.38389132764325085, -0.2088570324704051, 0.028214022455490137, 0.13394131639366408, 0.19082777465256043, -0.02743685211430876, -0.2999457431934684, 0.08693754533866802, -0.22260665875601482, -0.18674817000353058, -0.1708543202306806, 0.006028885992400977, -0.02734853869797774, -0.31552310287391383, 0.08396417801359568, -0.041840771795250475, -0.000985197300117334, -0.05558690363653453, -0.10834794715944543, 0.045012411560459306, 0.07012936617535293, 0.11504708034693296, 0.06114487027390355, 0.10285467672419835, -0.10728423505751851, -0.07164652752395473, 0.3870262894891651, -0.1559228179808033, -0.25867410586566203, 0.15458554023012788, -0.12616031497425165, -0.10755058341513736, 0.14722775232091287, 0.15029006669050957, 0.19666321425283528, -0.14237653623220753, 0.12574889407849432, 0.03195409275239322, 0.14178646570604564, 0.058578767084393156, -0.03477346778185253, 0.16059068528688455, 0.10019499198421387, 0.010860095030616924, 0.11263120216345526, -0.0467850269710488, -0.12360330620578613, -0.34120986822162225, -0.08761698784761086, -0.15558541326570402, 0.013757105805582917, -0.13127956493720497, -0.17083204639177904, 0.3994137413508023, 0.2046969342297953, 0.12166282205831215, 0.07989943966112402, 0.32450053300035286, 0.1875256083320815, 0.06907152224623833, 0.04341437033635665, 0.24931550234645963, 0.16291066844027535, 0.04802202641492687, -0.2735885338835328, -0.00957805877663644, 0.1461693525134799] |
711.4878 | New Supergravity Backgrounds Dual to N=1 SQCD-like Theories with
N_f=2N_c | We present new supergravity backgrounds generated by N_c D5-branes, wrapping
the S^2 of the resolved conifold, in the presence of N_f = 2 N_c smeared flavor
D5-branes. The smearing allows us to take their backreaction on the geometry
into account. We discuss the consistency, stability, and supersymmetry of these
types of setups. We find near horizon geometries that we expect to be
supergravity duals of SQCD-like theories with N_f= 2N_c. From these backgrounds
we numerically extract rectangular Wilson loops and beta functions of the dual
field theory for the regime where our approximations are valid.
| hep-th | we present new supergravity backgrounds generated by n_c d5branes wrapping the s2 of the resolved conifold in the presence of n_f 2 n_c smeared flavor d5branes the smearing allows us to take their backreaction on the geometry into account we discuss the consistency stability and supersymmetry of these types of setups we find near horizon geometries that we expect to be supergravity duals of sqcdlike theories with n_f 2n_c from these backgrounds we numerically extract rectangular wilson loops and beta functions of the dual field theory for the regime where our approximations are valid | [['we', 'present', 'new', 'supergravity', 'backgrounds', 'generated', 'by', 'n_c', 'd5branes', 'wrapping', 'the', 's2', 'of', 'the', 'resolved', 'conifold', 'in', 'the', 'presence', 'of', 'n_f', '2', 'n_c', 'smeared', 'flavor', 'd5branes', 'the', 'smearing', 'allows', 'us', 'to', 'take', 'their', 'backreaction', 'on', 'the', 'geometry', 'into', 'account', 'we', 'discuss', 'the', 'consistency', 'stability', 'and', 'supersymmetry', 'of', 'these', 'types', 'of', 'setups', 'we', 'find', 'near', 'horizon', 'geometries', 'that', 'we', 'expect', 'to', 'be', 'supergravity', 'duals', 'of', 'sqcdlike', 'theories', 'with', 'n_f', '2n_c', 'from', 'these', 'backgrounds', 'we', 'numerically', 'extract', 'rectangular', 'wilson', 'loops', 'and', 'beta', 'functions', 'of', 'the', 'dual', 'field', 'theory', 'for', 'the', 'regime', 'where', 'our', 'approximations', 'are', 'valid']] | [-0.14006430291610353, 0.18730860386796772, -0.06837086009971322, 0.12381804226204118, -0.03986286082146491, -0.15458520876114912, 0.028442815591412735, 0.3519010288502149, -0.0952630931774075, -0.241718833017698, 0.09320732413052997, -0.27757808489819735, -0.11839179613904909, 0.0887919891349466, -0.05663073841640924, 0.014092003114204457, -0.03350452479331734, -0.034879716152840474, -0.10884718494638404, -0.2687649861215911, 0.357717146923607, -0.02143740189816565, 0.23332588391457784, 0.06897320715769967, 0.05147700975005059, -0.0016497392851383761, -0.01739958897629317, 0.06298658462796122, -0.16372733651649546, 0.0796882524353234, 0.21324905750163375, 0.07560637310404886, 0.05529970661836102, -0.48153513741303, -0.22490816396918703, 0.08156801610157151, 0.21496000180040745, 0.1513263466204467, 0.03669044961335455, -0.2990048308955862, 0.06751869023440683, -0.13858096732540018, -0.20511798018173494, -0.1353590013261171, -0.03333856354522063, -0.07718636729615799, -0.2651708397315815, 0.02708525679252566, -0.053849626550490554, -0.008996735440884182, -0.014649204514113235, -0.10274989529701069, -0.05591190006197529, 0.13696937511323337, 0.15059423221750778, 0.010266410820978754, 0.1281003467713859, -0.20039548962674242, -0.12368309851537676, 0.3311518129417078, -0.02360100119790815, -0.2206946113444072, 0.1297486162635478, -0.19402291177910694, -0.18521021761277573, 0.12909355709486223, 0.14812605714108398, 0.19711691123418548, -0.06381145457333409, 0.2146145519243177, -0.015367614684943506, 0.1466194568598207, 0.1362951933381524, 0.05780144218613017, 0.3116673885824833, 0.10395687392496682, 0.01361177869740517, 0.14447701712351965, -0.08550305284827234, -0.090932874331013, -0.46105711112551867, -0.05982143201052825, -0.03552129721278919, 0.13377563852787097, -0.19167410656085307, -0.17219828173240764, 0.33842366063927715, 0.15649416710824726, 0.1774391475569536, 0.0675568698033532, 0.18602803628891706, 0.06831792660894745, 0.07527386742530073, 0.05260823550138702, 0.24290374449969449, 0.1577453542763288, 0.08629958836381581, -0.2952757661919446, -0.23555466470288786, 0.19137202652587376] |
711.4879 | Spontaneous emission control in high-extraction efficiency plasmonic
crystals | We experimentally and theoretically investigate exciton-field coupling for
the surface plasmon polariton (SPP) in waveguide-confined (WC) anti-symmetric
modes of hexagonal plasmonic crystals in InP-TiO-Au-TiO-Si heterostructures.
The radiative decay time of the InP-based transverse magnetic (TM)-strained
multi-quantum well (MQW) coupled to the SPP modes is observed to be 2.9-3.7
times shorter than that of a bare MQW wafer. Theoretically we find that 80 % of
the enhanced PL is emitted into SPP modes, and 17 % of the enhanced
luminescence is redirected into WC-anti-symmetric modes. In addition to the
direct coupling of the excitons to the plasmonic modes, this demonstration is
also useful for the development of high-temperature SPP lasers, the development
of highly integrated photo-electrical devices, or miniaturized biosensors.
| physics.optics | we experimentally and theoretically investigate excitonfield coupling for the surface plasmon polariton spp in waveguideconfined wc antisymmetric modes of hexagonal plasmonic crystals in inptioautiosi heterostructures the radiative decay time of the inpbased transverse magnetic tmstrained multiquantum well mqw coupled to the spp modes is observed to be 2937 times shorter than that of a bare mqw wafer theoretically we find that 80 of the enhanced pl is emitted into spp modes and 17 of the enhanced luminescence is redirected into wcantisymmetric modes in addition to the direct coupling of the excitons to the plasmonic modes this demonstration is also useful for the development of hightemperature spp lasers the development of highly integrated photoelectrical devices or miniaturized biosensors | [['we', 'experimentally', 'and', 'theoretically', 'investigate', 'excitonfield', 'coupling', 'for', 'the', 'surface', 'plasmon', 'polariton', 'spp', 'in', 'waveguideconfined', 'wc', 'antisymmetric', 'modes', 'of', 'hexagonal', 'plasmonic', 'crystals', 'in', 'inptioautiosi', 'heterostructures', 'the', 'radiative', 'decay', 'time', 'of', 'the', 'inpbased', 'transverse', 'magnetic', 'tmstrained', 'multiquantum', 'well', 'mqw', 'coupled', 'to', 'the', 'spp', 'modes', 'is', 'observed', 'to', 'be', '2937', 'times', 'shorter', 'than', 'that', 'of', 'a', 'bare', 'mqw', 'wafer', 'theoretically', 'we', 'find', 'that', '80', 'of', 'the', 'enhanced', 'pl', 'is', 'emitted', 'into', 'spp', 'modes', 'and', '17', 'of', 'the', 'enhanced', 'luminescence', 'is', 'redirected', 'into', 'wcantisymmetric', 'modes', 'in', 'addition', 'to', 'the', 'direct', 'coupling', 'of', 'the', 'excitons', 'to', 'the', 'plasmonic', 'modes', 'this', 'demonstration', 'is', 'also', 'useful', 'for', 'the', 'development', 'of', 'hightemperature', 'spp', 'lasers', 'the', 'development', 'of', 'highly', 'integrated', 'photoelectrical', 'devices', 'or', 'miniaturized', 'biosensors']] | [-0.13823480478354863, 0.25730773888062686, -0.04391657877048211, 0.007214493656387536, -0.041961352723904256, -0.15158520045640347, 0.015398300347442273, 0.45646570357660365, -0.21270855567750654, -0.24869917972994568, -0.017411405138513407, -0.2902858557146309, -0.12822789554359457, 0.24076996382999433, 0.052591429116936136, 0.03938673656167729, -0.00667188352339768, -0.10416541907138058, 0.03580967738525942, -0.1292984247889503, 0.1926002952469779, 0.05618515804859011, 0.36825482298653306, 0.1016560527870232, 0.048145087529389584, -0.01708284456565577, 0.10521247774262779, -0.07871521106738198, -0.1398612912792357, 0.11027022653641845, 0.2657066261329289, -0.06859171446246494, 0.20619680403199578, -0.47149863330352154, -0.17194760272052786, -0.015070346986509062, 0.2260844782701627, 0.134184093247833, -0.08157807307933192, -0.2804423299801004, 0.0671215799957281, -0.0681235413399658, -0.10846160671319792, -0.0016857048238827182, 0.0072096686510901365, -0.028464545878315612, -0.24693703808588907, 0.03526405128624382, 0.04142061619755363, 0.03807183658188608, -0.04933590759238931, -0.08622288328479044, -0.10920273598042383, 0.019113370306773243, 0.021748493359025036, -0.020089691048529597, 0.2150402125553228, -0.11660305302731493, -0.13625621006108954, 0.3640923484095505, -0.11231966579323073, -0.1014867674301578, 0.15558716206370654, -0.17248133558730064, 0.03516909697126331, 0.19341391867159732, 0.1998860616586171, 0.15199330977962486, -0.11591979021561981, 0.004555237536676161, 0.04436599136637857, 0.17884962825753195, 0.10654738558722394, 0.18942435133586905, 0.23350816242496616, 0.23151030073807174, -0.00046067879468734773, 0.1667430943416548, -0.11888427526407343, 0.00235596666919134, -0.20348187202554463, -0.2386909102788195, -0.18935208510291496, 0.04162888997234404, -0.02209705388200486, -0.18205091037089005, 0.45000273200483726, 0.07277105129157592, 0.10940372524783015, -0.017673288249560364, 0.3030841419074152, 0.1491354722022444, 0.14930126197370036, 0.004557929209633065, 0.3643333515418427, 0.19506776327034459, 0.0805617438329916, -0.3199491432294183, -0.017118491157556752, -0.061705802721137716] |
711.488 | An upper bound on the reduction number of an ideal | Let A be a commutative ring and I an ideal of A with a reduction Q. In this
paper we give an upper bound on the reduction number of I with respect to Q,
when a suitable family of ideals in A is given. As a corollary it follows that
if some ideal J containing I satisfies J^2 = QJ, then I^{v + 2} = QI^{v + 1},
where v denotes the number of generators of J / I as an A-module.
| math.AC | let a be a commutative ring and i an ideal of a with a reduction q in this paper we give an upper bound on the reduction number of i with respect to q when a suitable family of ideals in a is given as a corollary it follows that if some ideal j containing i satisfies j2 qj then iv 2 qiv 1 where v denotes the number of generators of j i as an amodule | [['let', 'a', 'be', 'a', 'commutative', 'ring', 'and', 'i', 'an', 'ideal', 'of', 'a', 'with', 'a', 'reduction', 'q', 'in', 'this', 'paper', 'we', 'give', 'an', 'upper', 'bound', 'on', 'the', 'reduction', 'number', 'of', 'i', 'with', 'respect', 'to', 'q', 'when', 'a', 'suitable', 'family', 'of', 'ideals', 'in', 'a', 'is', 'given', 'as', 'a', 'corollary', 'it', 'follows', 'that', 'if', 'some', 'ideal', 'j', 'containing', 'i', 'satisfies', 'j2', 'qj', 'then', 'iv', '2', 'qiv', '1', 'where', 'v', 'denotes', 'the', 'number', 'of', 'generators', 'of', 'j', 'i', 'as', 'an', 'amodule']] | [-0.16399801204392275, 0.09330976223357644, -0.020852605261924593, -0.0661169873647295, -0.052995242435460936, -0.19682304210985055, -0.0028471581731596357, 0.2914745096425683, -0.3091638434992789, -0.22484270849510085, 0.08773011608085558, -0.3052294807290876, -0.0854980416245178, 0.17963795496041995, -0.09925154192590868, -0.10642478834571582, -0.000781731026900279, 0.13188056824365993, -0.05121721552727236, -0.2485987165422699, 0.33832970226498005, 0.0032994649554421375, 0.13877076304036906, 0.00805482380213095, 0.09939922430467876, 0.0034785924975264384, 0.030690544417926242, 0.06930722387858315, -0.2188691298161556, 0.09107470978051424, 0.24142076389549613, 0.1437256334942173, 0.28770618701910045, -0.3265570794752279, -0.05063589308531834, 0.18812960103250942, 0.14678733740848574, 0.006461492171148201, -0.012507906662868698, -0.1727777979360869, 0.1499280551291228, -0.24026291157941443, -0.15493099494268756, -0.024628186054140716, 0.19237050290715385, 0.04287818200015402, -0.3804303669406996, -0.023599353038355128, 0.15103150632038906, 0.13958727992283387, -0.009142730793274649, -0.12607686544538704, -0.04288693735158289, 0.012859039134482018, -0.04109248244687431, 0.09252195823756228, 0.02032302220218948, -0.12205926570497067, -0.09932038343402666, 0.39262166492529094, -0.10541933578402772, -0.20394572165685815, 0.11399050752704891, -0.13779597788710485, -0.12433787631233792, 0.07991289129396054, 0.063585246538187, 0.1262603867617617, -0.020185325861123826, 0.1866253697813803, -0.14391272021578505, 0.12431550737131726, 0.03481242024376021, 0.02412979963368603, 0.13025036058691028, 0.10978445727922409, 0.10635736899173746, 0.12898582539841677, -0.07693866203393933, 0.06754265102715075, -0.4165620363813329, -0.22684637188394371, -0.2173508896806894, 0.18585466282659924, -0.07697931024855964, -0.13979291486517562, 0.3530202228334043, 0.10559950837133718, 0.2648564108296648, 0.04323228808458556, 0.2163428883128739, 0.11641845996975415, -0.012954235258330773, 0.13790601104280198, 0.10215026202691756, 0.1616628183318036, -0.019384343255698294, -0.13405655621393742, -0.012513139375860427, 0.10766310193999247] |
711.4881 | Measuring the phonon-assisted spectral function by using a
non-quilibrium three-terminal single-molecular device | The electron transport through a three-terminal single-molecular transistor
(SMT) is theoretically studied. We find that the differential conductance of
the third and weakly coupled terminal versus its voltage matches well with the
spectral function versus the energy when certain conditions are met.
Particularly, this excellent matching is maintained even for complicated
structure of the phonon-assisted side peaks. Thus, this device offers an
experimental approach to explore the shape of the phonon-assisted spectral
function in detail. In addition we discuss the conditions of a perfect
matching. The results show that at low temperatures the matching survives
regardless of the bias and the energy levels of the SMT. However, at high
temperatures, the matching is destroyed.
| cond-mat.mes-hall | the electron transport through a threeterminal singlemolecular transistor smt is theoretically studied we find that the differential conductance of the third and weakly coupled terminal versus its voltage matches well with the spectral function versus the energy when certain conditions are met particularly this excellent matching is maintained even for complicated structure of the phononassisted side peaks thus this device offers an experimental approach to explore the shape of the phononassisted spectral function in detail in addition we discuss the conditions of a perfect matching the results show that at low temperatures the matching survives regardless of the bias and the energy levels of the smt however at high temperatures the matching is destroyed | [['the', 'electron', 'transport', 'through', 'a', 'threeterminal', 'singlemolecular', 'transistor', 'smt', 'is', 'theoretically', 'studied', 'we', 'find', 'that', 'the', 'differential', 'conductance', 'of', 'the', 'third', 'and', 'weakly', 'coupled', 'terminal', 'versus', 'its', 'voltage', 'matches', 'well', 'with', 'the', 'spectral', 'function', 'versus', 'the', 'energy', 'when', 'certain', 'conditions', 'are', 'met', 'particularly', 'this', 'excellent', 'matching', 'is', 'maintained', 'even', 'for', 'complicated', 'structure', 'of', 'the', 'phononassisted', 'side', 'peaks', 'thus', 'this', 'device', 'offers', 'an', 'experimental', 'approach', 'to', 'explore', 'the', 'shape', 'of', 'the', 'phononassisted', 'spectral', 'function', 'in', 'detail', 'in', 'addition', 'we', 'discuss', 'the', 'conditions', 'of', 'a', 'perfect', 'matching', 'the', 'results', 'show', 'that', 'at', 'low', 'temperatures', 'the', 'matching', 'survives', 'regardless', 'of', 'the', 'bias', 'and', 'the', 'energy', 'levels', 'of', 'the', 'smt', 'however', 'at', 'high', 'temperatures', 'the', 'matching', 'is', 'destroyed']] | [-0.15816834182968656, 0.09874782293104147, -0.060047160074310865, 0.08788270423732077, 0.0008894173334467045, -0.14052117095541275, 0.05890677944479281, 0.39271729152747675, -0.2664049786368483, -0.33100509239981574, 0.05779403762017753, -0.25527127442080855, -0.10216249780639548, 0.1832408863732493, -0.025857449835983284, 0.011317175714474726, 0.032389712887571045, 0.028807132912334055, -0.08728591676009002, -0.20873598698649162, 0.30043195496443986, 0.09656186014609902, 0.33380975555669384, 0.1364783513433251, 0.11028927866075385, 0.00844010034486194, 0.047029685531334395, 0.02854768886116513, -0.13553128119115412, 0.048451644605385105, 0.23221554163957767, 0.018689892026023905, 0.22296115477659265, -0.419805451034846, -0.16614627216231861, 0.03614562430435367, 0.10258222155256622, 0.12496610154528498, -0.05548788070486728, -0.20936198851191684, 0.09844529061382146, -0.12022621479710531, -0.09773041797687479, -0.036944528008206634, -0.038786788654856776, 0.014611324102397225, -0.2756903590700842, 0.0819942777273817, 0.04533665695967022, 0.04405316828214972, -0.038300451276243846, -0.099027835518906, -0.05628051452763509, 0.10166144540498703, -0.006419936023456485, -0.016525246043640533, 0.1407938314552762, -0.19616570719211412, -0.0830347091980736, 0.34850920694308324, -0.08725103188975993, -0.12096990473372371, 0.20221893146241965, -0.1804237845823528, -0.09035548203003903, 0.12995676707737802, 0.06697104708700065, 0.12544208072665097, -0.1368867058559421, 0.08626457646191978, -0.027528670085430668, 0.16160375772967217, 0.08126507896782928, 0.06881378327696502, 0.22445903576322293, 0.19472306098159925, 0.06852297063737192, 0.1783945144076521, -0.12008408420686528, -0.0458571691384637, -0.2662431758648732, -0.12563946274754575, -0.17579700253707797, 0.012381838773491612, -0.0814971459634794, -0.15813688478808394, 0.431995476310125, 0.15894075632585505, 0.21408370606960697, 0.03650703549940597, 0.3409379379366312, 0.225951864396369, 0.038615331094581304, 0.05101224376101112, 0.25281101891672925, 0.12032466211454257, 0.10105061548988727, -0.30577534036465776, 0.07780361374464344, -0.06353350172407533] |
711.4882 | Transmission phase shift of phonon-assisted tunneling through a quantum
dot | The influence of electron-phonon interaction on the transmission phase shift
of an electron passing through a quantum dot is investigated by using the
scattering theory. The transmission phase versus the intra-dot level shows a
serial of phonon-induced dips. These dips are highly sensitive to
electron-phonon interaction strength $\lambda$, and they are much more
pronounced than phonon-assisted sub-peaks appeared in the conductance.
Phonon-induce dephasing is also studied, and the results show that the
dephasing probability $T_d$ monotonically increases with the electron-phonon
interaction strength $\lambda$. The dephasing probability $T_d
\propto\lambda^2$ for small $\lambda$ but $T_d\propto \lambda$ at large
$\lambda$.
| cond-mat.mes-hall | the influence of electronphonon interaction on the transmission phase shift of an electron passing through a quantum dot is investigated by using the scattering theory the transmission phase versus the intradot level shows a serial of phononinduced dips these dips are highly sensitive to electronphonon interaction strength lambda and they are much more pronounced than phononassisted subpeaks appeared in the conductance phononinduce dephasing is also studied and the results show that the dephasing probability t_d monotonically increases with the electronphonon interaction strength lambda the dephasing probability t_d proptolambda2 for small lambda but t_dpropto lambda at large lambda | [['the', 'influence', 'of', 'electronphonon', 'interaction', 'on', 'the', 'transmission', 'phase', 'shift', 'of', 'an', 'electron', 'passing', 'through', 'a', 'quantum', 'dot', 'is', 'investigated', 'by', 'using', 'the', 'scattering', 'theory', 'the', 'transmission', 'phase', 'versus', 'the', 'intradot', 'level', 'shows', 'a', 'serial', 'of', 'phononinduced', 'dips', 'these', 'dips', 'are', 'highly', 'sensitive', 'to', 'electronphonon', 'interaction', 'strength', 'lambda', 'and', 'they', 'are', 'much', 'more', 'pronounced', 'than', 'phononassisted', 'subpeaks', 'appeared', 'in', 'the', 'conductance', 'phononinduce', 'dephasing', 'is', 'also', 'studied', 'and', 'the', 'results', 'show', 'that', 'the', 'dephasing', 'probability', 't_d', 'monotonically', 'increases', 'with', 'the', 'electronphonon', 'interaction', 'strength', 'lambda', 'the', 'dephasing', 'probability', 't_d', 'proptolambda2', 'for', 'small', 'lambda', 'but', 't_dpropto', 'lambda', 'at', 'large', 'lambda']] | [-0.21691321848738107, 0.23896660566707068, -0.021361241325181215, 0.09330102049948727, 0.012327007909721516, -0.2077710389337958, 0.049410038606630284, 0.4324611273415862, -0.28755013533233803, -0.2251092037582334, -0.06057546252726597, -0.3493980747508876, -0.1114756328702726, 0.18536957063553658, 0.08237509263005663, -0.03155124785893775, 0.023642989526938725, 0.0396656153644336, -0.06070507772915818, -0.21160790683860156, 0.29176583755860463, 0.07728294053417135, 0.2648794024865678, 0.1501316680285604, 0.007322979610452944, 0.04919190602773364, 0.06858378681453302, 0.00041778970192721547, -0.15039526032907158, -0.004546878202397258, 0.22277470445446174, -0.053442060050772545, 0.2354956357640789, -0.3894463950332175, -0.19516265954812395, 0.02178026934927131, 0.15830836673217646, 0.13474531202240192, -0.002149202305596926, -0.3011954030656117, -0.008973932584767487, -0.15085084573118054, -0.05571246337878736, -0.012984928927641916, 0.08536367889672042, -0.009110478070029553, -0.27599919456592265, 0.12491552825451165, 0.026436421663520185, 0.04233620734885335, -0.014819654564254303, -0.09669756824943296, -0.04901245027592287, 0.04310182316050409, 0.05394800648866023, 0.008869420649252207, 0.1965044438046344, -0.10649048933571086, -0.05242847452098702, 0.3505010261656122, -0.10504577497959737, -0.07713773980380055, 0.15561110014095902, -0.18678096763571686, -0.02718717706088779, 0.21665791326024114, 0.04529497208707827, 0.08877477794885635, -0.08661566845121536, 0.1021004645537803, 0.06571117854439357, 0.22201635213222037, 0.07316239073159213, 0.13501505588894672, 0.16167065013754875, 0.16939129483232157, 0.03744216915220022, 0.1137779592561159, -0.14646205645639132, -0.09803890359112398, -0.2504278673453534, -0.06819893705950891, -0.19148760236690732, 0.11451700359999024, -0.11140385802625927, -0.13438527632326364, 0.35521724413921857, 0.13357983973679788, 0.2255906980643247, 0.03455678424104414, 0.2565924923946249, 0.2339104041556253, 0.07602145273654544, 0.01978571528192372, 0.2679971007065491, 0.1874498035783503, 0.07901498655531, -0.3828356042999695, 0.09869276061951321, -0.07221496072498725] |
711.4883 | Comparison of Spline with Kriging in an Epidemiological Problem | There are various methods to analyze different kinds of data sets. Spatial
data is defined when data is dependent on each other based on their respective
locations. Spline and Kriging are two methods for interpolating and predicting
spatial data. Under certain conditions, these methods are equivalent, but in
practice they show different behaviors. Amount of data can be observed only at
some positions that are chosen as positions of sample points, therefore,
prediction of data values in other positions is important. In this paper, the
link between Spline and Kriging methods is described, then for an
epidemiological two dimensional real data set, data is observed in geological
longitude and in latitude dimensions, and behavior of these methods are
investigated. Comparison of these performances show that for this data set,
Kriging method has a better performance than Spline method.
| stat.AP | there are various methods to analyze different kinds of data sets spatial data is defined when data is dependent on each other based on their respective locations spline and kriging are two methods for interpolating and predicting spatial data under certain conditions these methods are equivalent but in practice they show different behaviors amount of data can be observed only at some positions that are chosen as positions of sample points therefore prediction of data values in other positions is important in this paper the link between spline and kriging methods is described then for an epidemiological two dimensional real data set data is observed in geological longitude and in latitude dimensions and behavior of these methods are investigated comparison of these performances show that for this data set kriging method has a better performance than spline method | [['there', 'are', 'various', 'methods', 'to', 'analyze', 'different', 'kinds', 'of', 'data', 'sets', 'spatial', 'data', 'is', 'defined', 'when', 'data', 'is', 'dependent', 'on', 'each', 'other', 'based', 'on', 'their', 'respective', 'locations', 'spline', 'and', 'kriging', 'are', 'two', 'methods', 'for', 'interpolating', 'and', 'predicting', 'spatial', 'data', 'under', 'certain', 'conditions', 'these', 'methods', 'are', 'equivalent', 'but', 'in', 'practice', 'they', 'show', 'different', 'behaviors', 'amount', 'of', 'data', 'can', 'be', 'observed', 'only', 'at', 'some', 'positions', 'that', 'are', 'chosen', 'as', 'positions', 'of', 'sample', 'points', 'therefore', 'prediction', 'of', 'data', 'values', 'in', 'other', 'positions', 'is', 'important', 'in', 'this', 'paper', 'the', 'link', 'between', 'spline', 'and', 'kriging', 'methods', 'is', 'described', 'then', 'for', 'an', 'epidemiological', 'two', 'dimensional', 'real', 'data', 'set', 'data', 'is', 'observed', 'in', 'geological', 'longitude', 'and', 'in', 'latitude', 'dimensions', 'and', 'behavior', 'of', 'these', 'methods', 'are', 'investigated', 'comparison', 'of', 'these', 'performances', 'show', 'that', 'for', 'this', 'data', 'set', 'kriging', 'method', 'has', 'a', 'better', 'performance', 'than', 'spline', 'method']] | [-0.0657669798710613, 0.04583281478804513, -0.07942983608497171, 0.1021349891080467, -0.051077502049114286, -0.1421587120545893, 0.004393522800587496, 0.48214434227649716, -0.23750773602691683, -0.32860704463488166, 0.1404098768919315, -0.3021623245710372, -0.11398163684846266, 0.2555406060157533, -0.08394335794761992, 0.06250543933898714, 0.07223102327122394, 0.02976390334399606, -0.07365511900581254, -0.3128708804404174, 0.32377634458986204, -0.0006074202854348266, 0.32780985029218584, -0.02318502021354515, 0.07194419405709924, -0.06916109134866585, -0.0738724270477837, 0.04740870712270987, -0.11154107506223701, 0.115793022175279, 0.3088534507576538, 0.15290442218943295, 0.2645609153137691, -0.4192582029455229, -0.21068347913577504, 0.12014050916026252, 0.10370268818645643, 0.06945905548965801, 0.0036983084012889235, -0.25108327374429157, 0.0736206184568194, -0.07413724019610579, -0.08332555345259607, -0.13751902597183632, -0.0009518246338500277, 0.06791324572776025, -0.293592870923812, 0.06184255055605731, -0.013697144389827397, 0.1366090226675505, -0.06492487184089217, -0.17044972342546974, -0.0458059146387867, 0.14292316060353819, 0.07576459945024301, -0.006189715201575039, 0.07605162441082623, -0.08164711313836143, -0.10143796632579272, 0.3650542007273306, -0.015828243276780046, -0.2577809704285439, 0.22132730926218294, -0.139065769062364, -0.14060435268987456, 0.09647252284449295, 0.19694821020939213, 0.09192687384716734, -0.18204776468516776, 0.03229957376063702, -0.03139628963949888, 0.12617777260965196, 0.07479129127307754, 0.02043891968239315, 0.15917717229635658, 0.16453623542717347, 0.042237487294292754, 0.062132388130640204, -0.15137996830626566, -0.09053467963552238, -0.2599083621044765, -0.08035815185934737, -0.21174101239961127, -0.07831428348815636, -0.15218405605686502, -0.14965846925380005, 0.3707336382535489, 0.18983004054694058, 0.23463179695123024, 0.045543554512297975, 0.3180927485430046, 0.08141069430828371, 0.05710588261802289, 0.06943232252977896, 0.17644723528845108, 0.027520983506911907, 0.05065336999604884, -0.12571822785758885, 0.11168800001505061, 0.030261876736430153] |
711.4884 | Quantum phase transitions in the systems of parallel quantum dots | We study the low-temperature transport properties of the systems of parallel
quantum dots described by the N-impurity Anderson model. We calculate the
quasiparticle scattering phase shifts, spectral functions and correlations as a
function of the gate voltage for N up to 5. For any N, the conductance at the
particle-hole symmetric point is unitary. For N >= 2, a transition from
ferromagnetic to antiferromagnetic impurity spin correlations occurs at some
gate voltage. For N >= 3, there is an additional transition due to an abrupt
change in average impurity occupancy. For odd N, the conductance is
discontinuous through both quantum phase transitions, while for even N only the
magnetic transition affects the conductance. Similar effects should be
experimentally observable in the systems of quantum dots with ferromagnetic
conduction-band-mediated inter-dot exchange interactions.
| cond-mat.mes-hall cond-mat.str-el | we study the lowtemperature transport properties of the systems of parallel quantum dots described by the nimpurity anderson model we calculate the quasiparticle scattering phase shifts spectral functions and correlations as a function of the gate voltage for n up to 5 for any n the conductance at the particlehole symmetric point is unitary for n 2 a transition from ferromagnetic to antiferromagnetic impurity spin correlations occurs at some gate voltage for n 3 there is an additional transition due to an abrupt change in average impurity occupancy for odd n the conductance is discontinuous through both quantum phase transitions while for even n only the magnetic transition affects the conductance similar effects should be experimentally observable in the systems of quantum dots with ferromagnetic conductionbandmediated interdot exchange interactions | [['we', 'study', 'the', 'lowtemperature', 'transport', 'properties', 'of', 'the', 'systems', 'of', 'parallel', 'quantum', 'dots', 'described', 'by', 'the', 'nimpurity', 'anderson', 'model', 'we', 'calculate', 'the', 'quasiparticle', 'scattering', 'phase', 'shifts', 'spectral', 'functions', 'and', 'correlations', 'as', 'a', 'function', 'of', 'the', 'gate', 'voltage', 'for', 'n', 'up', 'to', '5', 'for', 'any', 'n', 'the', 'conductance', 'at', 'the', 'particlehole', 'symmetric', 'point', 'is', 'unitary', 'for', 'n', '2', 'a', 'transition', 'from', 'ferromagnetic', 'to', 'antiferromagnetic', 'impurity', 'spin', 'correlations', 'occurs', 'at', 'some', 'gate', 'voltage', 'for', 'n', '3', 'there', 'is', 'an', 'additional', 'transition', 'due', 'to', 'an', 'abrupt', 'change', 'in', 'average', 'impurity', 'occupancy', 'for', 'odd', 'n', 'the', 'conductance', 'is', 'discontinuous', 'through', 'both', 'quantum', 'phase', 'transitions', 'while', 'for', 'even', 'n', 'only', 'the', 'magnetic', 'transition', 'affects', 'the', 'conductance', 'similar', 'effects', 'should', 'be', 'experimentally', 'observable', 'in', 'the', 'systems', 'of', 'quantum', 'dots', 'with', 'ferromagnetic', 'conductionbandmediated', 'interdot', 'exchange', 'interactions']] | [-0.20519651663232977, 0.2623111383027423, -0.023463211853266143, 0.05965221462694297, 0.06464733803776775, -0.2287786308397341, 0.083592515532294, 0.3893670596945004, -0.2671572334595083, -0.28093675369998133, -0.02089763394424941, -0.3529665320085024, -0.11213135317437292, 0.14797417446787609, 0.07562580767021639, 0.03254926004483709, -0.03803874792780463, 0.018391909099763303, -0.1283318502846812, -0.20408781035253265, 0.27870366298850247, -0.019732985501617603, 0.2356563311466199, 0.10395593130383567, 0.019130102696087885, 0.04842180189654583, 0.14664836533323633, 0.0036426080669474414, -0.09532907794369018, -0.030921649835879115, 0.2771560382024627, -0.09522251927799831, 0.18130293944630566, -0.4257794886563472, -0.1608153557492875, 0.07534282540675165, 0.16523086941089687, 0.16692362234590385, -0.032019824519254794, -0.2863712674813477, 0.04292464606815905, -0.14174216337443338, -0.09146839190745638, -0.0572501788333821, 0.053003298313041604, -0.014636937641139018, -0.30061891897192855, 0.09608463855005625, 0.08157620177142264, 0.0892326898036862, -0.0021140582632185436, -0.08659191610746261, -0.021425178973004222, 0.13133680615546622, -0.040907329574454664, 0.03875880221484273, 0.17251567558686096, -0.11919421319461126, -0.13868071277457195, 0.3243945008217115, -0.056605583482135936, -0.11456829595460197, 0.10825523533528363, -0.1994586258826, -0.0790928924404906, 0.17063725686551431, 0.09832648097310127, 0.07699258363343717, -0.10142193024054053, 0.13055029186548703, 0.047787504219340055, 0.18352857845176312, 0.037287472545601955, 0.06336559403658383, 0.22226246010226117, 0.13154414526414215, 0.09219015940407833, 0.15182091378126528, -0.10938750209624139, -0.1054200660657343, -0.2819493177207553, -0.16598705309406508, -0.2541505540684452, 0.11480953809291887, -0.10526106372926161, -0.1964914702011023, 0.397801898654521, 0.1510254131835394, 0.2135442846095351, -0.0010953643175912655, 0.23632559548022122, 0.1853306794192598, 0.04041630698103956, 0.041750922198242356, 0.17780862963234997, 0.1884238040844697, 0.0937123461136059, -0.3409345136940714, 0.07808246774100296, 0.009746192980147018] |
711.4885 | Galaxy redshift abundance periodicity from Fourier analysis of number
counts $N(z)$ using SDSS and 2dF GRS galaxy surveys | A Fourier analysis on galaxy number counts from redshift data of both the
Sloan Digital Sky Survey and the 2dF Galaxy Redshift Survey indicates that
galaxies have preferred periodic redshift spacings of $\Delta z =$ 0.0102,
0.0246, and 0.0448 in the SDSS and strong agreement with the results from the
2dF GRS. The redshift spacings are confirmed by the mass density fluctuations,
the power spectrum $P(z)$ and $N_{pairs}$ calculations. Application of the
Hubble law results in galaxies preferentially located on co-moving concentric
shells with periodic spacings. The combined results from both surveys indicate
regular co-moving radial distance spacings of $31.7 \pm 1.8$ $h^{-1} Mpc$,
$73.4 \pm 5.8$ $h^{-1} Mpc$ and $127 \pm 21$ $h^{-1} Mpc$. The results are
consistent with oscillations in the expansion rate of the universe over past
epochs.
| astro-ph gr-qc | a fourier analysis on galaxy number counts from redshift data of both the sloan digital sky survey and the 2df galaxy redshift survey indicates that galaxies have preferred periodic redshift spacings of delta z 00102 00246 and 00448 in the sdss and strong agreement with the results from the 2df grs the redshift spacings are confirmed by the mass density fluctuations the power spectrum pz and n_pairs calculations application of the hubble law results in galaxies preferentially located on comoving concentric shells with periodic spacings the combined results from both surveys indicate regular comoving radial distance spacings of 317 pm 18 h1 mpc 734 pm 58 h1 mpc and 127 pm 21 h1 mpc the results are consistent with oscillations in the expansion rate of the universe over past epochs | [['a', 'fourier', 'analysis', 'on', 'galaxy', 'number', 'counts', 'from', 'redshift', 'data', 'of', 'both', 'the', 'sloan', 'digital', 'sky', 'survey', 'and', 'the', '2df', 'galaxy', 'redshift', 'survey', 'indicates', 'that', 'galaxies', 'have', 'preferred', 'periodic', 'redshift', 'spacings', 'of', 'delta', 'z', '00102', '00246', 'and', '00448', 'in', 'the', 'sdss', 'and', 'strong', 'agreement', 'with', 'the', 'results', 'from', 'the', '2df', 'grs', 'the', 'redshift', 'spacings', 'are', 'confirmed', 'by', 'the', 'mass', 'density', 'fluctuations', 'the', 'power', 'spectrum', 'pz', 'and', 'n_pairs', 'calculations', 'application', 'of', 'the', 'hubble', 'law', 'results', 'in', 'galaxies', 'preferentially', 'located', 'on', 'comoving', 'concentric', 'shells', 'with', 'periodic', 'spacings', 'the', 'combined', 'results', 'from', 'both', 'surveys', 'indicate', 'regular', 'comoving', 'radial', 'distance', 'spacings', 'of', '317', 'pm', '18', 'h1', 'mpc', '734', 'pm', '58', 'h1', 'mpc', 'and', '127', 'pm', '21', 'h1', 'mpc', 'the', 'results', 'are', 'consistent', 'with', 'oscillations', 'in', 'the', 'expansion', 'rate', 'of', 'the', 'universe', 'over', 'past', 'epochs']] | [-0.11625271709269192, 0.06797976322530762, -0.08465519574595483, 0.041274238854470686, -0.06462220680041927, -0.0030334462140371482, 0.04516990880635897, 0.40589893974481134, -0.10331161298484755, -0.32767354181461683, 0.0768477955666246, -0.3786340843827471, 0.04919326497520518, 0.23554347642316065, 0.03902521582804327, 0.008092397361018468, 0.0713152330241342, -0.10765984336530247, -0.05668541555536735, -0.3033287352973991, 0.2439140881169734, 0.07389318427496304, 0.25653256484725345, -0.10247183336297006, 0.06648613004734388, -0.05953759286831331, -0.15389023482520867, -0.008108831914581768, -0.24687783102321348, -0.004702683723362999, 0.21945090723653896, 0.05935881943551926, 0.255493395162497, -0.2542823672690612, -0.13772926969439026, 0.06710081275710177, 0.2237627026844975, 0.03746766367868528, -0.03682818119487483, -0.3303939907364254, 0.10047375114531967, -0.1460400467342514, -0.17686304184204832, 0.09617156219324023, 0.020965989724930932, 0.11570237541578593, -0.21927074135343477, 0.2957648651960387, -0.08147191244918178, 0.14130373686449152, -0.11628436764672868, -0.13775792776966306, -0.10494138184186863, 0.054329716109150036, 0.019298669902285136, 0.15177909028533054, 0.12808590531294184, -0.05902721556490214, -0.021593634987902628, 0.3919654752267158, -0.06618784298372316, 0.04071911335666114, 0.1369749791626855, -0.2622935845897951, -0.14593042198231254, 0.112250830989155, 0.1704340750263549, 0.04152907045517075, -0.13390586520068523, 0.07814848227710573, -0.008581546402910329, 0.3259907220526943, 0.09929881727425602, 0.03391514935568076, 0.3005784224429146, 0.050602007591290264, 0.04412288193253609, -0.016116145800241805, -0.26636430707312825, -0.025218812165796523, -0.27621311594284775, 0.008318476668581015, -0.1841989315782241, 0.07901546644600563, -0.2321542156817837, -0.07872547928287875, 0.344046184848114, 0.08311214728104904, 0.2387231921769796, 0.15227581061217493, 0.2574596533947808, 0.002204044297608862, 0.1349828754823039, 0.07803563938263482, 0.3101067244419901, 0.1803770481561142, 0.09994302624396569, -0.20457938561531328, -0.09541273152631685, 0.00042789048647258693] |
711.4886 | PSF calibration requirements for dark energy from cosmic shear | The control of systematic effects when measuring galaxy shapes is one of the
main challenges for cosmic shear analyses. In this context, we study the
fundamental limitations on shear accuracy due to the measurement of the Point
Spread Function (PSF) from the finite number of stars. In order to do that, we
translate the accuracy required for cosmological parameter estimation to the
minimum number of stars over which the PSF must be calibrated. We first derive
our results analytically in the case of infinitely small pixels (i.e.
infinitely high resolution). Then image simulations are used to validate these
results and investigate the effect of finite pixel size in the case of an
elliptical gaussian PSF. Our results are expressed in terms of the minimum
number of stars required to calibrate the PSF in order to ensure that
systematic errors are smaller than statistical errors when estimating the
cosmological parameters. On scales smaller than the area containing this
minimum number of stars, there is not enough information to model the PSF. In
the case of an elliptical gaussian PSF and in the absence of dithering, 2
pixels per PSF Full Width at Half Maximum (FWHM) implies a 20% increase of the
minimum number of stars compared to the ideal case of infinitely small pixels;
0.9 pixels per PSF FWHM implies a factor 100 increase. In the case of a good
resolution and a typical Signal-to-Noise Ratio distribution of stars, we find
that current surveys need the PSF to be calibrated over a few stars, which may
explain residual systematics on scales smaller than a few arcmins. Future
all-sky cosmic shear surveys require the PSF to be calibrated over a region
containing about 50 stars.
| astro-ph | the control of systematic effects when measuring galaxy shapes is one of the main challenges for cosmic shear analyses in this context we study the fundamental limitations on shear accuracy due to the measurement of the point spread function psf from the finite number of stars in order to do that we translate the accuracy required for cosmological parameter estimation to the minimum number of stars over which the psf must be calibrated we first derive our results analytically in the case of infinitely small pixels ie infinitely high resolution then image simulations are used to validate these results and investigate the effect of finite pixel size in the case of an elliptical gaussian psf our results are expressed in terms of the minimum number of stars required to calibrate the psf in order to ensure that systematic errors are smaller than statistical errors when estimating the cosmological parameters on scales smaller than the area containing this minimum number of stars there is not enough information to model the psf in the case of an elliptical gaussian psf and in the absence of dithering 2 pixels per psf full width at half maximum fwhm implies a 20 increase of the minimum number of stars compared to the ideal case of infinitely small pixels 09 pixels per psf fwhm implies a factor 100 increase in the case of a good resolution and a typical signaltonoise ratio distribution of stars we find that current surveys need the psf to be calibrated over a few stars which may explain residual systematics on scales smaller than a few arcmins future allsky cosmic shear surveys require the psf to be calibrated over a region containing about 50 stars | [['the', 'control', 'of', 'systematic', 'effects', 'when', 'measuring', 'galaxy', 'shapes', 'is', 'one', 'of', 'the', 'main', 'challenges', 'for', 'cosmic', 'shear', 'analyses', 'in', 'this', 'context', 'we', 'study', 'the', 'fundamental', 'limitations', 'on', 'shear', 'accuracy', 'due', 'to', 'the', 'measurement', 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711.4887 | The prisoners dilemma on a stochastic non-growth network evolution model | We investigate the evolution of cooperation on a non - growth network model
with death/birth dynamics. Nodes reproduce under selection for higher payoffs
in a prisoners dilemma game played between network neighbours. The mean field
characteristics of the model are explored and an attempt is made to understand
the size dependent behaviour of the model in terms of fluctuations in the
strategy densities. We also briefly comment on the role of strategy mutation in
regulating the strategy densties.
| q-bio.PE q-bio.OT | we investigate the evolution of cooperation on a non growth network model with deathbirth dynamics nodes reproduce under selection for higher payoffs in a prisoners dilemma game played between network neighbours the mean field characteristics of the model are explored and an attempt is made to understand the size dependent behaviour of the model in terms of fluctuations in the strategy densities we also briefly comment on the role of strategy mutation in regulating the strategy densties | [['we', 'investigate', 'the', 'evolution', 'of', 'cooperation', 'on', 'a', 'non', 'growth', 'network', 'model', 'with', 'deathbirth', 'dynamics', 'nodes', 'reproduce', 'under', 'selection', 'for', 'higher', 'payoffs', 'in', 'a', 'prisoners', 'dilemma', 'game', 'played', 'between', 'network', 'neighbours', 'the', 'mean', 'field', 'characteristics', 'of', 'the', 'model', 'are', 'explored', 'and', 'an', 'attempt', 'is', 'made', 'to', 'understand', 'the', 'size', 'dependent', 'behaviour', 'of', 'the', 'model', 'in', 'terms', 'of', 'fluctuations', 'in', 'the', 'strategy', 'densities', 'we', 'also', 'briefly', 'comment', 'on', 'the', 'role', 'of', 'strategy', 'mutation', 'in', 'regulating', 'the', 'strategy', 'densties']] | [-0.1333782546173193, 0.06800567462146558, -0.11791369133310295, 0.10951231951414804, -0.004377663478647408, -0.1373791806889992, 0.08574590827093313, 0.42078602386908115, -0.2383619425818324, -0.27833324562954276, 0.05914205734274889, -0.23607903035161526, -0.21967981052923852, 0.05415135482632506, -0.07829055389830548, -0.06857421515068333, 0.011525147922312547, 0.03438931367801208, 0.04669382954537133, -0.2984596187689979, 0.3618536599096842, 0.12497990475247589, 0.3031576301559414, 0.013512926256608855, 0.09147948151956753, 0.026422428052970452, -0.058009728274651264, 0.03905456679517796, -0.17580425459891558, 0.04990964456412353, 0.1764043004276525, 0.11687451347365584, 0.3587402985186169, -0.4375018876683163, -0.1970167300590363, 0.1284453246840521, 0.13355564672230302, 0.12272174896574334, -0.0161166371943086, -0.22902802288789595, 0.038115537265854836, -0.18680838133418307, -0.14708946866563852, -0.021458726523346024, 0.014498559300064747, 0.02596147107588446, -0.2702465141682248, 0.020630484394419717, 0.019156614122422116, 0.07763308164124426, -0.07344509202735744, -0.11357149165613871, -0.04764215180674862, 0.17951261760026682, 0.043261603757089595, -0.04695588913378551, 0.14924521593524046, -0.21945954698113432, -0.17574254000608466, 0.36499331999374063, -0.0769232062984405, -0.213347256820845, 0.14636302953831068, -0.1433189237171686, -0.1340810974055019, 0.05536925350315869, 0.21347008706805737, 0.11103558486425563, -0.13660954001457676, 0.03898968855700284, 0.0003755378022201751, 0.13494815958639314, 0.004445456548924803, 0.051982146595898816, 0.18718195155777625, 0.2781683180824314, 0.07629176525791224, 0.10515083291714913, -0.04161946335194731, -0.22142540268281377, -0.2682474949642232, -0.09242918136480607, -0.12971901612993525, 0.005252309891052152, -0.10375759413593762, -0.12119332205896315, 0.3886339356142439, 0.17307021000152945, 0.20359812422018303, 0.057165428119907644, 0.21587071974614733, 0.07574012775072142, 0.03451647520475825, 0.03925356255403083, 0.21610860829241574, 0.12750447083779268, 0.12009223291380822, -0.3177613555760074, 0.1589284464900725, 0.06213890558941976] |
711.4888 | Searching for the Missing Baryons in the Warm-Hot Intergalactic Medium | At low redshift (z<2), almost half of the baryons in the Universe are not
found in bound structures like galaxies and clusters and therefore most likely
reside in a Warm-Hot Intergalactic Medium (WHIM), as predicted by simulations.
Attempts to detect WHIM filaments at cosmological distances in absorption
towards bright background sources have yielded controversial results that I
review here. I argue that a secure detection of absorption features by the WHIM
is at the limit of the XMM-Newton capabilities, but feasible. A proper
characterisation of the whole WHIM belongs to the realm of future X-ray
missions.
| astro-ph | at low redshift z2 almost half of the baryons in the universe are not found in bound structures like galaxies and clusters and therefore most likely reside in a warmhot intergalactic medium whim as predicted by simulations attempts to detect whim filaments at cosmological distances in absorption towards bright background sources have yielded controversial results that i review here i argue that a secure detection of absorption features by the whim is at the limit of the xmmnewton capabilities but feasible a proper characterisation of the whole whim belongs to the realm of future xray missions | [['at', 'low', 'redshift', 'z2', 'almost', 'half', 'of', 'the', 'baryons', 'in', 'the', 'universe', 'are', 'not', 'found', 'in', 'bound', 'structures', 'like', 'galaxies', 'and', 'clusters', 'and', 'therefore', 'most', 'likely', 'reside', 'in', 'a', 'warmhot', 'intergalactic', 'medium', 'whim', 'as', 'predicted', 'by', 'simulations', 'attempts', 'to', 'detect', 'whim', 'filaments', 'at', 'cosmological', 'distances', 'in', 'absorption', 'towards', 'bright', 'background', 'sources', 'have', 'yielded', 'controversial', 'results', 'that', 'i', 'review', 'here', 'i', 'argue', 'that', 'a', 'secure', 'detection', 'of', 'absorption', 'features', 'by', 'the', 'whim', 'is', 'at', 'the', 'limit', 'of', 'the', 'xmmnewton', 'capabilities', 'but', 'feasible', 'a', 'proper', 'characterisation', 'of', 'the', 'whole', 'whim', 'belongs', 'to', 'the', 'realm', 'of', 'future', 'xray', 'missions']] | [-0.087096724198697, 0.12612069443275686, -0.05910134946316248, 0.07831494262791239, -0.11486386048879164, -0.04166101507629113, 0.06494387756780877, 0.4405311036195296, -0.15401259786085575, -0.2978239165337679, 0.05280905725764266, -0.3622596923960373, -0.021486054625711404, 0.1430962757828335, 0.06065797424334581, -0.017169198015229387, 0.004062383358056347, -0.06763993406396669, -0.009496647771053782, -0.2994765985543684, 0.28761237087504316, 0.11478535559338827, 0.18614706892306762, 0.007066707403282635, 0.060495413412960865, -0.12780906825112956, -0.10417467830120586, 0.03821829168979699, -0.14768126915972365, 0.01889725027831446, 0.3196233249618672, 0.12288255867315456, 0.2609570155715725, -0.3471716007188661, -0.2786417131428607, 0.07379757158923894, 0.22781212327633207, 0.07924406499660108, -0.05802810416207649, -0.31255222597004223, 0.0938472684762625, -0.12988830519316252, -0.18169141902035335, 0.020777829954264842, 0.02494076213527781, -0.007065460837717789, -0.12295826236368157, 0.14712134107079086, -0.01012264026212506, 0.018881745761367103, -0.08695307100667075, -0.057960577813598015, -0.014842386313830502, 0.04635430737713856, -0.01700693798920838, 0.05377754027237339, 0.19525043528604633, -0.20744608785025775, -0.0657889989912898, 0.4677056619742264, -0.062487780106797196, 0.039110763202188537, 0.2060867229787012, -0.22622233164717423, -0.25040692529364605, 0.17845598522156556, 0.14614107097319598, 0.0788374463954824, -0.13705742313080313, 0.037978503679975496, -0.05116577973725119, 0.19918948041352755, 0.028239901788765565, 0.12365790104377083, 0.3503162429551594, 0.10681027543735884, 0.06702593834537159, 0.05660880755021935, -0.14679572630363205, 0.04478070726569664, -0.26293584197507397, -0.13657826439217993, -0.1839294199598953, 0.08151317092673101, -0.05820343099154949, -0.13038396610681957, 0.2938127713326442, 0.1944881301606074, 0.2123582676067599, 0.04822717090670873, 0.3490902866712228, 0.016332538855446426, 0.06140570100493884, 0.13795602975975876, 0.34793300002153654, 0.15326419545939038, 0.09682623293580643, -0.14781210319294283, 0.09937089555023704, -0.017598077916773036] |
711.4889 | Measurement of the B --> X_s gamma Branching Fraction and Photon Energy
Spectrum using the Recoil Method | We present a measurement of the branching fraction and photon energy spectrum
for the decay B --> X_s gamma using data from the BaBar experiment. The data
sample corresponds to an integrated luminosity of 210 fb^{-1}, from which
approximately 680 000 BB events are tagged by a fully reconstructed hadronic
decay of one of the B mesons. In the decay of the second B meson, an isolated
high--energy photon is identified. We measure BR(B --> X_s gamma) = (3.66 +-
0.85_{stat} +- 0.60_{syst}) x 10^{-4} for photon energies E_gamma above 1.9 GeV
in the B rest frame. From the measured spectrum we calculate the first and
second moments for different minimum photon energies, which are used to extract
the heavy-quark parameters m_b and mu_{pi}^2. In addition, measurements of the
direct CP asymmetry and isospin asymmetry are presented.
| hep-ex hep-ph | we present a measurement of the branching fraction and photon energy spectrum for the decay b x_s gamma using data from the babar experiment the data sample corresponds to an integrated luminosity of 210 fb1 from which approximately 680 000 bb events are tagged by a fully reconstructed hadronic decay of one of the b mesons in the decay of the second b meson an isolated highenergy photon is identified we measure brb x_s gamma 366 085_stat 060_syst x 104 for photon energies e_gamma above 19 gev in the b rest frame from the measured spectrum we calculate the first and second moments for different minimum photon energies which are used to extract the heavyquark parameters m_b and mu_pi2 in addition measurements of the direct cp asymmetry and isospin asymmetry are presented | [['we', 'present', 'a', 'measurement', 'of', 'the', 'branching', 'fraction', 'and', 'photon', 'energy', 'spectrum', 'for', 'the', 'decay', 'b', 'x_s', 'gamma', 'using', 'data', 'from', 'the', 'babar', 'experiment', 'the', 'data', 'sample', 'corresponds', 'to', 'an', 'integrated', 'luminosity', 'of', '210', 'fb1', 'from', 'which', 'approximately', '680', '000', 'bb', 'events', 'are', 'tagged', 'by', 'a', 'fully', 'reconstructed', 'hadronic', 'decay', 'of', 'one', 'of', 'the', 'b', 'mesons', 'in', 'the', 'decay', 'of', 'the', 'second', 'b', 'meson', 'an', 'isolated', 'highenergy', 'photon', 'is', 'identified', 'we', 'measure', 'brb', 'x_s', 'gamma', '366', '085_stat', '060_syst', 'x', '104', 'for', 'photon', 'energies', 'e_gamma', 'above', '19', 'gev', 'in', 'the', 'b', 'rest', 'frame', 'from', 'the', 'measured', 'spectrum', 'we', 'calculate', 'the', 'first', 'and', 'second', 'moments', 'for', 'different', 'minimum', 'photon', 'energies', 'which', 'are', 'used', 'to', 'extract', 'the', 'heavyquark', 'parameters', 'm_b', 'and', 'mu_pi2', 'in', 'addition', 'measurements', 'of', 'the', 'direct', 'cp', 'asymmetry', 'and', 'isospin', 'asymmetry', 'are', 'presented']] | [-0.047131616526390786, 0.21816314679700344, -0.06109934326825449, 0.10692224033051528, -0.01177931077635059, -0.0860634438908444, 0.09577998202831413, 0.34176189579033794, -0.2092018708658333, -0.3153337101953534, -0.012966886246039604, -0.3901829061922259, 0.11725251691487547, 0.15681850456346114, 0.08703926528463714, 0.0872463804956239, 0.08046782367074719, 0.04775781113511095, -0.04085114865133969, -0.13274500443098636, 0.2282835615082429, 0.048641733212683065, 0.2173685976304114, 0.06812619344832806, 0.040659902977327314, 0.00640417265240103, -0.08713885724651986, -0.09292899566129423, -0.16706945445531837, 0.05613511517070807, 0.21234558440135934, 0.09623336193975635, 0.09241844376262565, -0.2736739636682614, -0.040734433013802536, 0.17122306284279779, 0.12598091104211143, 0.005284429812588944, -0.017381665074767974, -0.3195617158109179, 0.1261330499421232, -0.1937662238577524, -0.08534676417206916, -0.028232968906657052, 0.05596021110406862, -0.048024671524763106, -0.3270465326038762, 0.1482084448592594, -0.07593598752640761, 0.03825958700349125, -0.02233623139775143, -0.20180823979899287, -0.04072128726133647, 0.030920507316477597, 0.07564595395233482, 0.09318660635662336, 0.19322262339723797, -0.0898635962678012, -0.13983384934612192, 0.3927599358242542, -0.08042356811750394, -0.09373101523468415, 0.1082120603416115, -0.22275769379204854, -0.12225233914079861, 0.23435641065454826, 0.22504621596577076, 0.08000796328459937, -0.21876828586682678, 0.08166924801905855, -0.009216863327534297, 0.20486623891271077, 0.07261591106653213, 0.06441312652224532, 0.16329261530190706, 0.14219955245229918, -0.025060221921795835, 0.06355386431454323, -0.18674912905463806, 0.014684001428003494, -0.43059770641132045, -0.13110534382196, -0.13599318826499468, 0.12747600546393256, -0.06508137232897122, -0.03465806714688929, 0.3908376989599604, 0.0419531383121816, 0.3229662507629165, 0.009768656948402238, 0.28157414268487346, 0.13224413074517194, 0.03902854668782451, 0.08242083979958596, 0.3275973763030309, 0.18938052549134365, 0.1441578547300126, -0.24013277644228834, -0.030043367862414856, -0.01543839457623947] |
711.489 | D and B meson spectroscopy, new states, baryons at the Tevatron | We review recent results in heavy quark hadron spectroscopy at the Tevatron.
With increasing data samples the Tevatron experiments start to uncover
information on the b-hadrons. Most important are the first observations of the
narrow Bs** as well as Sigma_b, Sigma_b* and Xi_b- baryons. In addition we
present updated results on the narrow B** and Bc mesons.
| hep-ex | we review recent results in heavy quark hadron spectroscopy at the tevatron with increasing data samples the tevatron experiments start to uncover information on the bhadrons most important are the first observations of the narrow bs as well as sigma_b sigma_b and xi_b baryons in addition we present updated results on the narrow b and bc mesons | [['we', 'review', 'recent', 'results', 'in', 'heavy', 'quark', 'hadron', 'spectroscopy', 'at', 'the', 'tevatron', 'with', 'increasing', 'data', 'samples', 'the', 'tevatron', 'experiments', 'start', 'to', 'uncover', 'information', 'on', 'the', 'bhadrons', 'most', 'important', 'are', 'the', 'first', 'observations', 'of', 'the', 'narrow', 'bs', 'as', 'well', 'as', 'sigma_b', 'sigma_b', 'and', 'xi_b', 'baryons', 'in', 'addition', 'we', 'present', 'updated', 'results', 'on', 'the', 'narrow', 'b', 'and', 'bc', 'mesons']] | [-0.031981770659943946, 0.19301065634282535, -0.05466707819549922, 0.09795066423452738, -0.07237470917926546, -0.15483819203157173, 0.11259553592505031, 0.3502146843330641, -0.16429520858525248, -0.27096606647236304, 0.03500546828288127, -0.42339018503563447, 0.03130197149227586, 0.11484794729601658, 0.07044195204058237, 0.1244304231551819, 0.13432567891779176, -0.003290027355481135, -0.056198838330282455, -0.24189203480879465, 0.28585113258215417, 0.02606014964546551, 0.20315415985686214, 0.14839892452092548, -0.010997230364744993, -0.0037397721357512893, -0.10104245950647614, -0.06799956486282642, -0.16764182474039363, 0.05133895440386575, 0.2625723015956107, 0.12963913456259066, 0.1591509260367929, -0.39824666267489656, -0.08716238593568273, 0.047436608834878394, 0.18595998557774643, 0.14864705421291946, -0.0892959296776864, -0.3498231253929828, 0.12839651653510437, -0.16212959615350292, -0.106965646082372, -0.08720036257842653, 0.004068970426982432, 0.0029128313150354906, -0.267963753392299, 0.08691008586289459, -0.09236506517086047, 0.09072154172156986, -0.031674879051646905, -0.3054298869285144, -0.053119837138965204, 0.016423443985874194, 0.12293854332937483, 0.10734828284394257, 0.1360444453087423, -0.17322968775114164, -0.1546182838317595, 0.35152144184368744, -0.10643487132415828, -0.0779380491166784, 0.16609286229338563, -0.22072820407910304, -0.19167429464460725, 0.0479742009519485, 0.2678323835461286, 0.06948650369355291, -0.15577298968115397, 0.05641330203670485, -0.08472329395283994, 0.13139591642998552, 0.024953648394888693, 0.13804799096511775, 0.20337180409319044, 0.215314800916403, -0.05897789683781172, 0.05982952825561689, -0.1391924550969219, -0.0488125966992556, -0.3882941171984401, -0.10524650504649208, -0.11919142626095236, -0.005443476367202636, -0.009290033150280482, -0.013255311012790915, 0.3829072244187588, 0.08026836173641577, 0.36330870801190795, -0.02302336135241938, 0.3503338838355583, 0.0037414615753253826, 0.06465466790771308, 0.08918604052119088, 0.2788951540620601, 0.22513811260853944, 0.2394937677308917, -0.24134967670563542, 0.027605117913417257, -0.03245273485714406] |
711.4891 | Duality in matrix lattice Boltzmann models | The notion of duality between the hydrodynamic and kinetic (ghost) variables
of lattice kinetic formulations of the Boltzmann equation is introduced. It is
suggested that this notion can serve as a guideline in the design of matrix
versions of the lattice Boltzmann equation in a physically transparent and
computationally efficient way.
| cond-mat.stat-mech | the notion of duality between the hydrodynamic and kinetic ghost variables of lattice kinetic formulations of the boltzmann equation is introduced it is suggested that this notion can serve as a guideline in the design of matrix versions of the lattice boltzmann equation in a physically transparent and computationally efficient way | [['the', 'notion', 'of', 'duality', 'between', 'the', 'hydrodynamic', 'and', 'kinetic', 'ghost', 'variables', 'of', 'lattice', 'kinetic', 'formulations', 'of', 'the', 'boltzmann', 'equation', 'is', 'introduced', 'it', 'is', 'suggested', 'that', 'this', 'notion', 'can', 'serve', 'as', 'a', 'guideline', 'in', 'the', 'design', 'of', 'matrix', 'versions', 'of', 'the', 'lattice', 'boltzmann', 'equation', 'in', 'a', 'physically', 'transparent', 'and', 'computationally', 'efficient', 'way']] | [-0.10735266306894083, 0.13471597403872246, -0.1562500646995271, 0.07901640843791778, -0.13562475307388047, -0.13428060770692193, 0.018143366291826845, 0.3310700995920628, -0.3194063348038232, -0.2623939266903143, 0.02238946311248868, -0.1918245171945469, -0.16872812763733022, 0.13751892617666253, -0.016295869487757776, 0.07656556422657826, 0.04309363792851275, -0.03382544584718405, -0.0904127501143033, -0.20305735376827858, 0.27908747226876374, 0.10165905033913898, 0.2911136028740336, 0.05579179133672048, 0.15214923204963698, 0.0007609694502225109, -0.01987867323024308, 0.03051368368095627, -0.15369148292266605, 0.11700328691935569, 0.23032655453711165, 0.0883779960008813, 0.3020657414899153, -0.4333367325803813, -0.2396776797067301, 0.040418413960758376, 0.12344848661450669, 0.14907579408848987, -0.004992903475010512, -0.19179967527880387, 0.02913178547340281, -0.19806070497953424, -0.166033861665603, -0.09462877233768356, -0.014502780950244735, -0.004496556724987778, -0.29259501611266064, 0.12065111288764313, 0.04341249583362072, 0.004464476040619261, -0.059209367712302244, -0.09884853242878236, -0.008589840375398304, 0.002419467211938372, 0.01038918420946335, 0.013578099134725099, 0.0414620585210037, -0.14984124439640664, -0.0916016600368654, 0.4533211541380368, -0.023476941839737052, -0.3076768388204715, 0.18783693190883188, -0.023348815556542547, -0.09256273533637617, 0.07514821993661862, 0.08845435397005548, 0.12472172289648477, -0.2342655543676194, 0.09640998685248561, -0.10352698583429788, 0.09180765400878062, 0.03140385519694902, 0.05403369812148751, 0.1865645149613128, 0.17990541626133172, 0.03028195258229971, 0.17034106152862602, 0.0332801589267511, -0.15708340328259796, -0.3446494789027116, -0.19470839794067776, -0.22091425356327318, 0.08825079516014632, -0.10303861351955372, -0.18891871044887046, 0.3289561661727288, 0.1640300815833696, 0.14151384440415046, 0.03659634682915959, 0.2635574664454907, 0.14514622249065295, 0.05585520057117238, 0.05680563768335417, 0.19949926551221414, 0.21413209815235698, 0.1361252241767943, -0.22647851966686694, -0.007327287978328326, 0.18487196282355808] |
711.4892 | The Macroscopic Quantum Effect in Nonlinear Oscillating Systems: a
Possible Bridge between Classical and Quantum Physics | Einstein, De Broglie and others hoped that the schism between classical and
quantum physics might one day be overcome by a theory taking into account the
essential nonlinearity of elementary physical processes. However, neither their
attempts, nor subsequent ones were able to supply a unifying principle that
could serve as a starting-point for a coherent understanding of both
microphysical and macroscopic phenomena. In the late 1960s the phenomenon of
amplitude quantization, or Macroscopic Quantum Effect (MQE), was discovered in
a class of nonlinear oscillating systems in which two or more subsystems are
coupled to each other by interactions having a specific phase-dependent
character -- so-called argumental interactions. Experimental and theoretical
studies of the MQE, carried out up to the present time, suggest the possibility
of a new conceptual framework for physics, which would provide a bridge between
classical and quantum physics, replacing the Newtonian notion of "force" by a
new conception of physical interaction. The present paper presents a brief
introduction to the MQE and some ideas about its possible significance in the
search for new approaches to the understanding of quantum phenomena.
| physics.gen-ph | einstein de broglie and others hoped that the schism between classical and quantum physics might one day be overcome by a theory taking into account the essential nonlinearity of elementary physical processes however neither their attempts nor subsequent ones were able to supply a unifying principle that could serve as a startingpoint for a coherent understanding of both microphysical and macroscopic phenomena in the late 1960s the phenomenon of amplitude quantization or macroscopic quantum effect mqe was discovered in a class of nonlinear oscillating systems in which two or more subsystems are coupled to each other by interactions having a specific phasedependent character socalled argumental interactions experimental and theoretical studies of the mqe carried out up to the present time suggest the possibility of a new conceptual framework for physics which would provide a bridge between classical and quantum physics replacing the newtonian notion of force by a new conception of physical interaction the present paper presents a brief introduction to the mqe and some ideas about its possible significance in the search for new approaches to the understanding of quantum phenomena | [['einstein', 'de', 'broglie', 'and', 'others', 'hoped', 'that', 'the', 'schism', 'between', 'classical', 'and', 'quantum', 'physics', 'might', 'one', 'day', 'be', 'overcome', 'by', 'a', 'theory', 'taking', 'into', 'account', 'the', 'essential', 'nonlinearity', 'of', 'elementary', 'physical', 'processes', 'however', 'neither', 'their', 'attempts', 'nor', 'subsequent', 'ones', 'were', 'able', 'to', 'supply', 'a', 'unifying', 'principle', 'that', 'could', 'serve', 'as', 'a', 'startingpoint', 'for', 'a', 'coherent', 'understanding', 'of', 'both', 'microphysical', 'and', 'macroscopic', 'phenomena', 'in', 'the', 'late', '1960s', 'the', 'phenomenon', 'of', 'amplitude', 'quantization', 'or', 'macroscopic', 'quantum', 'effect', 'mqe', 'was', 'discovered', 'in', 'a', 'class', 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711.4893 | Recent BES results on charmonium decays | In this talk, we present the recent results on charmonium decays from the BES
experiment at the BEPC collider. The analyses are based on a 14 million psi(2S)
events data sample. We report results on leptonic decays, hadronic decays, and
radiative decays of psi(2S), as well as hadronic decays of chi_cJ states and
rare or forbidden decays of J/psi.
| hep-ex | in this talk we present the recent results on charmonium decays from the bes experiment at the bepc collider the analyses are based on a 14 million psi2s events data sample we report results on leptonic decays hadronic decays and radiative decays of psi2s as well as hadronic decays of chi_cj states and rare or forbidden decays of jpsi | [['in', 'this', 'talk', 'we', 'present', 'the', 'recent', 'results', 'on', 'charmonium', 'decays', 'from', 'the', 'bes', 'experiment', 'at', 'the', 'bepc', 'collider', 'the', 'analyses', 'are', 'based', 'on', 'a', '14', 'million', 'psi2s', 'events', 'data', 'sample', 'we', 'report', 'results', 'on', 'leptonic', 'decays', 'hadronic', 'decays', 'and', 'radiative', 'decays', 'of', 'psi2s', 'as', 'well', 'as', 'hadronic', 'decays', 'of', 'chi_cj', 'states', 'and', 'rare', 'or', 'forbidden', 'decays', 'of', 'jpsi']] | [0.03112015841623484, 0.2903359032441246, -0.08335975952983155, 0.16501716646499995, -0.04088757886409254, -0.10431745606553504, 0.09121334862942665, 0.2700704867809506, -0.1196583266669916, -0.1963470428234945, -0.03555444452193392, -0.5079196553077485, 0.09757477930210279, 0.15144843393068572, 0.17027934992654345, 0.1711263699393909, 0.22718442532912655, -0.03194077216657037, -0.047602029550836374, -0.17476302871512153, 0.2606192152410493, 0.014561736309048483, 0.1623384191070573, 0.16634322795227674, -0.1043785138793637, -0.020341508548264785, -0.09213896240975897, -0.09729555122933145, -0.17713998445956888, -0.015537771495982563, 0.21073769089781633, 0.20611768545803882, 0.1185331757701302, -0.35524812105476317, 0.013230659809531801, 0.1528889073564087, 0.18693499681460907, 0.10440093043686474, -0.07713394079128501, -0.4430932879321656, 0.1264283542631794, -0.1768932429347503, 0.032520710782668855, -0.07831890665791866, 0.010650796247488362, -0.08813912596679845, -0.33891518388764336, 0.12113998417537343, -0.13869932729364137, 0.09201049094356722, 0.008017901883665787, -0.31582388919541393, 0.046370234999458415, -0.05562520683427357, 0.15958477035796237, 0.09521298395406644, 0.23340944173919448, -0.10393165074430911, -0.31131196896529806, 0.3962616977929059, -0.07087163174706432, -0.07407386465219118, 0.175079312660905, -0.24839508552419937, -0.19097185603706007, 0.1939213450216704, 0.3300665271768378, 0.10179293048331294, -0.15554937791331844, 0.09143686426164171, -0.028784876373612274, 0.137620866109254, 0.03316482010502684, 0.16846023017532682, 0.139276511209496, 0.2798167187089132, -0.10615820755740091, 0.0809341659295862, -0.1395206581840639, 0.014511550003189152, -0.49618149795017, -0.11376727896474176, -0.07892208344350427, 0.138305670455477, 0.08443112410969984, -0.061362780693729045, 0.4299167728019973, -0.02221161910032822, 0.33500720724716027, -0.010894512789229215, 0.35658798114222995, 0.014743972980117395, -0.026765952677509385, 0.10365672445519614, 0.35434314782210324, 0.18923540867991367, 0.21522927706492906, -0.2837560691562939, 0.05054141332640044, -0.005831360489414152] |
711.4894 | Higher Order Couplings from Heterotic Orbifold Theory | We calculate couplings of arbitrary order from correlation functions among
twisted strings, using conformal field theory. Twisted strings arise in
heterotic string compactified on orbifolds yielding matter fields in the low
energy limit. We calculate completely the classical and the quantum amplitude
including normalization, up to a contribution from Kahler potential. The
classical action has saddle points which are interpreted as worldsheet
instantons described by metastable untwisted strings, formed by twisted strings
distributed at certain fixed points. This understanding generalizes the area
rule, in the case that the locations of twisted strings do not form a polygon,
and provides a general rule for calculating these kinds of instanton
corrections. An interpretation of couplings involving linearly combined states
is given, which commonly appear in non-prime order orbifolds. The quantum part
of the amplitude is given by ratios of gamma functions with order one
arguments.
| hep-th | we calculate couplings of arbitrary order from correlation functions among twisted strings using conformal field theory twisted strings arise in heterotic string compactified on orbifolds yielding matter fields in the low energy limit we calculate completely the classical and the quantum amplitude including normalization up to a contribution from kahler potential the classical action has saddle points which are interpreted as worldsheet instantons described by metastable untwisted strings formed by twisted strings distributed at certain fixed points this understanding generalizes the area rule in the case that the locations of twisted strings do not form a polygon and provides a general rule for calculating these kinds of instanton corrections an interpretation of couplings involving linearly combined states is given which commonly appear in nonprime order orbifolds the quantum part of the amplitude is given by ratios of gamma functions with order one arguments | [['we', 'calculate', 'couplings', 'of', 'arbitrary', 'order', 'from', 'correlation', 'functions', 'among', 'twisted', 'strings', 'using', 'conformal', 'field', 'theory', 'twisted', 'strings', 'arise', 'in', 'heterotic', 'string', 'compactified', 'on', 'orbifolds', 'yielding', 'matter', 'fields', 'in', 'the', 'low', 'energy', 'limit', 'we', 'calculate', 'completely', 'the', 'classical', 'and', 'the', 'quantum', 'amplitude', 'including', 'normalization', 'up', 'to', 'a', 'contribution', 'from', 'kahler', 'potential', 'the', 'classical', 'action', 'has', 'saddle', 'points', 'which', 'are', 'interpreted', 'as', 'worldsheet', 'instantons', 'described', 'by', 'metastable', 'untwisted', 'strings', 'formed', 'by', 'twisted', 'strings', 'distributed', 'at', 'certain', 'fixed', 'points', 'this', 'understanding', 'generalizes', 'the', 'area', 'rule', 'in', 'the', 'case', 'that', 'the', 'locations', 'of', 'twisted', 'strings', 'do', 'not', 'form', 'a', 'polygon', 'and', 'provides', 'a', 'general', 'rule', 'for', 'calculating', 'these', 'kinds', 'of', 'instanton', 'corrections', 'an', 'interpretation', 'of', 'couplings', 'involving', 'linearly', 'combined', 'states', 'is', 'given', 'which', 'commonly', 'appear', 'in', 'nonprime', 'order', 'orbifolds', 'the', 'quantum', 'part', 'of', 'the', 'amplitude', 'is', 'given', 'by', 'ratios', 'of', 'gamma', 'functions', 'with', 'order', 'one', 'arguments']] | [-0.19697167167856872, 0.19573775021503012, -0.07284382741794095, 0.1300114406821468, -0.038990615502364566, -0.12957181658765132, 0.03997306782390818, 0.29378547176060926, -0.23070303315192564, -0.26768123783444714, 0.05906701818518861, -0.26648596744215886, -0.13053250471390523, 0.15357853083503334, -0.04461817805153819, 0.021007160050468845, -0.004787112774255757, 0.06259058042383799, -0.08533822980958079, -0.26787560675504873, 0.37330774775416414, -0.0004158111832957793, 0.27348251466255086, 0.04626715374732768, 0.0612963914636757, 0.014604944245681374, -0.03486063500696963, 0.007396190199297625, -0.10941599907177066, 0.10786601749103894, 0.2484681407377202, 0.01784133715424817, 0.08199553489945569, -0.4560755628024365, -0.20315298654295347, 0.1246852355299296, 0.16561802744643983, 0.10906419038635816, 0.01034500732060548, -0.24384497486256793, 0.06831598710887447, -0.144509844866197, -0.17259676983397637, -0.09062739393113742, 0.019982382353115176, 0.006990587657929717, -0.2212991761019245, 0.05219751392276241, 0.025049129609259535, 0.031153156685844792, -0.038567656053187835, -0.10893605751965611, -0.004379363323503233, 0.09673268417664967, 0.08188343399865357, 0.0946123200188671, 0.13777809587577552, -0.17386414086400576, -0.16641940914014666, 0.37190800027309595, -0.07003047765913205, -0.23285003185558778, 0.10434388853218797, -0.11600126580081203, -0.1522481196064997, 0.14277772898899743, 0.09636618452263879, 0.1612452312740595, -0.08122344976746952, 0.18740573862244553, -0.013471651685560916, 0.11522822154334167, 0.148661533282692, 0.031508884313304654, 0.29523793451644326, 0.04289213759121257, 0.026132295046561768, 0.1586880937114462, -0.0407356103423045, -0.17472219281549844, -0.4031418420348343, -0.08578966064639129, -0.12939183102673166, 0.14755065819434576, -0.11847730670624959, -0.2179178548846524, 0.3604183495744828, 0.05196236316926722, 0.21598435744278496, 0.05562341813375796, 0.1995729766004569, 0.1406090838587973, 0.09986482915579231, 0.044972273584624585, 0.19682575565342747, 0.16363498120946432, 0.030535665082654075, -0.1738184082535115, -0.08016088378975507, 0.19177444500627217] |
711.4895 | The impact of going beyond the Maxwell distribution in direct dark
matter detection rates | We consider direct dark matter detection rates and investigate the difference
between a standard Maxwell-Boltzmann velocity distribution and a "realistic"
distribution like the ones extracted from numerical N-body simulations. Sizable
differences are observed when such results are compared to the standard
Maxwell-Boltzmann distribution. For a light target both the total rate and the
annual modulation are reduced by ~25%. For a heavy target the total rate is
virtually unchanged, whereas the annual modulation is modified by up to 50%,
depending on the WIMP mass and detector energy threshold. We also consider the
effect of a possible velocity anisotropy, and the effect is found to be largest
for a light target For the realistic velocity distribution the anisotropy may
reduce the annual modulation, in contrast to the Maxwell-Boltzmann case.
| astro-ph hep-ph | we consider direct dark matter detection rates and investigate the difference between a standard maxwellboltzmann velocity distribution and a realistic distribution like the ones extracted from numerical nbody simulations sizable differences are observed when such results are compared to the standard maxwellboltzmann distribution for a light target both the total rate and the annual modulation are reduced by 25 for a heavy target the total rate is virtually unchanged whereas the annual modulation is modified by up to 50 depending on the wimp mass and detector energy threshold we also consider the effect of a possible velocity anisotropy and the effect is found to be largest for a light target for the realistic velocity distribution the anisotropy may reduce the annual modulation in contrast to the maxwellboltzmann case | [['we', 'consider', 'direct', 'dark', 'matter', 'detection', 'rates', 'and', 'investigate', 'the', 'difference', 'between', 'a', 'standard', 'maxwellboltzmann', 'velocity', 'distribution', 'and', 'a', 'realistic', 'distribution', 'like', 'the', 'ones', 'extracted', 'from', 'numerical', 'nbody', 'simulations', 'sizable', 'differences', 'are', 'observed', 'when', 'such', 'results', 'are', 'compared', 'to', 'the', 'standard', 'maxwellboltzmann', 'distribution', 'for', 'a', 'light', 'target', 'both', 'the', 'total', 'rate', 'and', 'the', 'annual', 'modulation', 'are', 'reduced', 'by', '25', 'for', 'a', 'heavy', 'target', 'the', 'total', 'rate', 'is', 'virtually', 'unchanged', 'whereas', 'the', 'annual', 'modulation', 'is', 'modified', 'by', 'up', 'to', '50', 'depending', 'on', 'the', 'wimp', 'mass', 'and', 'detector', 'energy', 'threshold', 'we', 'also', 'consider', 'the', 'effect', 'of', 'a', 'possible', 'velocity', 'anisotropy', 'and', 'the', 'effect', 'is', 'found', 'to', 'be', 'largest', 'for', 'a', 'light', 'target', 'for', 'the', 'realistic', 'velocity', 'distribution', 'the', 'anisotropy', 'may', 'reduce', 'the', 'annual', 'modulation', 'in', 'contrast', 'to', 'the', 'maxwellboltzmann', 'case']] | [-0.09269249308454164, 0.17666507648027618, -0.09024192395008868, 0.13298075256079755, -0.04532742244191468, -0.07393379889253993, 0.029839732946129516, 0.3383838244335493, -0.26283130825686385, -0.3719998479937203, 0.05727794603717484, -0.31148065171873895, -0.02948668709359481, 0.22408315977554594, -0.007522150393924676, 0.04400507388402275, 0.044402767862266046, 0.06349630618933588, -0.07725961322330477, -0.21811699335012236, 0.2781620348250726, 0.10237164275895339, 0.3123354928102344, 0.04723240328166867, 0.0827169698650323, -0.015383012125312234, -0.05798133271673578, -0.015209964447421953, -0.1261190245313628, 0.038996661347482586, 0.15843484133074526, 0.052092658617766574, 0.17981309675269586, -0.36435518800863065, -0.23554038270231104, 0.1455183293292066, 0.11709727166089579, 0.11847577839944279, -0.10004293708425394, -0.2449265152317821, 0.08413646191547741, -0.20840574644262233, -0.14083399698574794, 0.014169008398312144, 0.03810154319944559, 0.07820781173359137, -0.2869940309174126, 0.16241572266858384, -0.019217905010009417, 0.02658087276358856, -0.07574374906471348, -0.1580271115672076, -0.02663874022255186, 0.05279149363582292, 0.05928596333251335, 0.012856732733780518, 0.16442540806747274, -0.14855931587226223, -0.04061895357972389, 0.4300618220659089, -0.1427746688023035, -0.1976994834767538, 0.1463146949899965, -0.1718823127594078, -0.031159167896475992, 0.1640393572542962, 0.21181489412265364, 0.07244909970359004, -0.1338681352377762, 0.011950931014780508, -0.02124062394432258, 0.2112113614421105, 0.0809175949289056, 0.0024540117592550814, 0.23085646581603214, 0.1324888606886816, 0.05992765757400775, 0.07868190727549518, -0.20405402941833017, -0.11485114068136681, -0.27506821086717537, -0.13508086666843155, -0.14894975574861746, -0.00034034230429824675, -0.07894112008409593, -0.07727094076017238, 0.3744521089611226, 0.1301006393669013, 0.20393723133202002, 0.05699852769430436, 0.31144839503394905, 0.13839463274052832, 0.035820492146740435, 0.04769042247062316, 0.28615036088740453, 0.10572199039052066, 0.08166833164796117, -0.24214813784237776, 0.09892897102690767, -0.05138209890719736] |
711.4896 | Dephasing and the steady state in quantum many-particle systems | We discuss relaxation in bosonic and fermionic many-particle systems. For
integrable systems, the time evolution can cause a dephasing effect, leading
for finite subsystems to certain steady states. We give an explicit derivation
of those steady subsystem states and devise sufficient prerequisites for the
dephasing to take place. We also find simple scenarios, in which dephasing is
ineffective and discuss the dependence on dimensionality and criticality. It
follows further that, after a quench of system parameters, bipartite
entanglement entropy will become extensive. This provides a way of creating
strong entanglement in a controlled fashion.
| cond-mat.stat-mech | we discuss relaxation in bosonic and fermionic manyparticle systems for integrable systems the time evolution can cause a dephasing effect leading for finite subsystems to certain steady states we give an explicit derivation of those steady subsystem states and devise sufficient prerequisites for the dephasing to take place we also find simple scenarios in which dephasing is ineffective and discuss the dependence on dimensionality and criticality it follows further that after a quench of system parameters bipartite entanglement entropy will become extensive this provides a way of creating strong entanglement in a controlled fashion | [['we', 'discuss', 'relaxation', 'in', 'bosonic', 'and', 'fermionic', 'manyparticle', 'systems', 'for', 'integrable', 'systems', 'the', 'time', 'evolution', 'can', 'cause', 'a', 'dephasing', 'effect', 'leading', 'for', 'finite', 'subsystems', 'to', 'certain', 'steady', 'states', 'we', 'give', 'an', 'explicit', 'derivation', 'of', 'those', 'steady', 'subsystem', 'states', 'and', 'devise', 'sufficient', 'prerequisites', 'for', 'the', 'dephasing', 'to', 'take', 'place', 'we', 'also', 'find', 'simple', 'scenarios', 'in', 'which', 'dephasing', 'is', 'ineffective', 'and', 'discuss', 'the', 'dependence', 'on', 'dimensionality', 'and', 'criticality', 'it', 'follows', 'further', 'that', 'after', 'a', 'quench', 'of', 'system', 'parameters', 'bipartite', 'entanglement', 'entropy', 'will', 'become', 'extensive', 'this', 'provides', 'a', 'way', 'of', 'creating', 'strong', 'entanglement', 'in', 'a', 'controlled', 'fashion']] | [-0.19441158704935235, 0.19836081404556605, -0.1249575781576494, 0.09792823211706066, 0.011151295056209919, -0.20289344899356365, 0.04286183214602754, 0.33693029468958363, -0.24684569616108498, -0.22815191993450232, 0.07486155128943675, -0.23930789782180192, -0.12651971826686503, 0.19117845968402764, -0.02177323845334034, 0.05652897679643269, 0.073872722814137, 0.004230248804967058, -0.09116708934108944, -0.26470095654602777, 0.3246479230397876, 0.031983734524630485, 0.27710174948492267, 0.10359728548854114, 0.094031529738865, 0.029348753925234554, 0.05739585441249879, -0.009117913273896308, -0.1455713346371572, 0.020280675896928904, 0.2594771668255488, 0.0983440408661486, 0.25139984619106165, -0.4661663303627296, -0.20878402235362917, 0.11320199496905378, 0.16386683785079165, 0.23663030663242643, -0.0431159732261415, -0.2704194882312453, -0.037603972241916556, -0.2196098078002638, -0.13199749289630378, -0.1627915874321727, 0.07517810350660473, -0.06514929284519971, -0.27037232953614176, 0.12254955708464123, 0.11626962375173226, 0.060693595335481965, -0.052342621264657246, -0.02353272664464733, 0.014172162451939856, 0.12977061061030057, -0.024048325019898488, -0.038642148274254606, 0.15392236381848443, -0.10483694774534633, -0.11292489086020183, 0.33860960832618653, -0.05644561589306637, -0.18143169629447004, 0.23877844844939822, -0.10444399104156393, -0.13136330535239044, 0.06782327671139006, 0.16186580552590735, 0.05972658305248107, -0.1702249547803497, 0.04579745824300149, 0.014297938251748998, 0.1567623955742555, -0.015494097507202086, 0.14483778145501114, 0.2174433657523007, 0.1455054029901611, 0.12843531600516686, 0.24539172573094356, -0.022381264857571335, -0.12765923035430146, -0.31250719783550246, -0.16409611340334757, -0.171520767629424, 0.13023598737360792, -0.05393698858035272, -0.14603236591582128, 0.41232916247595025, 0.16708857367469115, 0.18713693460449576, 0.06043852598064559, 0.23010473301079362, 0.1570674285033787, 0.020797290750085674, 0.08428781261380286, 0.21393053097392808, 0.10767301980485307, 0.06839348610609453, -0.2967710751950979, 0.051602098758907075, 0.048831505061900045] |
711.4897 | Deformed special relativity with an invariant minimum speed and its
cosmological implications | The paper aims to introduce a new symmetry principle in the space-time
geometry through the elimination of the classical idea of rest and by including
a universal minimum limit of speed in the subatomic world. Such a limit,
unattainable by particles, represents a preferred reference frame associated
with a universal background field that breaks Lorentz symmetry. Thus the
structure of space-time is extended due to the presence of a vacuum energy
density, which leads to a negative pressure at cosmological scales. The tiny
values of the cosmological constant and the vacuum energy density shall be
successfully obtained, being in good agreement with current observational
results.
| gr-qc | the paper aims to introduce a new symmetry principle in the spacetime geometry through the elimination of the classical idea of rest and by including a universal minimum limit of speed in the subatomic world such a limit unattainable by particles represents a preferred reference frame associated with a universal background field that breaks lorentz symmetry thus the structure of spacetime is extended due to the presence of a vacuum energy density which leads to a negative pressure at cosmological scales the tiny values of the cosmological constant and the vacuum energy density shall be successfully obtained being in good agreement with current observational results | [['the', 'paper', 'aims', 'to', 'introduce', 'a', 'new', 'symmetry', 'principle', 'in', 'the', 'spacetime', 'geometry', 'through', 'the', 'elimination', 'of', 'the', 'classical', 'idea', 'of', 'rest', 'and', 'by', 'including', 'a', 'universal', 'minimum', 'limit', 'of', 'speed', 'in', 'the', 'subatomic', 'world', 'such', 'a', 'limit', 'unattainable', 'by', 'particles', 'represents', 'a', 'preferred', 'reference', 'frame', 'associated', 'with', 'a', 'universal', 'background', 'field', 'that', 'breaks', 'lorentz', 'symmetry', 'thus', 'the', 'structure', 'of', 'spacetime', 'is', 'extended', 'due', 'to', 'the', 'presence', 'of', 'a', 'vacuum', 'energy', 'density', 'which', 'leads', 'to', 'a', 'negative', 'pressure', 'at', 'cosmological', 'scales', 'the', 'tiny', 'values', 'of', 'the', 'cosmological', 'constant', 'and', 'the', 'vacuum', 'energy', 'density', 'shall', 'be', 'successfully', 'obtained', 'being', 'in', 'good', 'agreement', 'with', 'current', 'observational', 'results']] | [-0.14191143333557107, 0.16495504191677485, -0.09688130570741903, 0.05593113695337836, -0.0767464684943358, -0.09107658537548213, 0.03416700631690522, 0.2888105221735757, -0.23998113911421526, -0.3273485868814446, 0.06480613723618998, -0.20938789356677306, -0.06908530140561717, 0.14060173917428723, -0.03409132272271173, 0.041681457678039026, -0.0026707562684480635, 0.06762303290888667, -0.08048282878340356, -0.17119578327207516, 0.33325478584904755, 0.13950946223256844, 0.30154852409946864, 0.03109692358190105, 0.14536808424939712, -0.03384310237708546, -0.011451095923049642, 0.0875056354772477, -0.12548893985866535, 0.10277125785304676, 0.19484025194265303, 0.06963135151724731, 0.2442261485671181, -0.40897405873097126, -0.22458627109548876, 0.0895542941189238, 0.09418632335339984, 0.16077399690347235, -0.07867801633796521, -0.27116220433797156, 0.06610696802714042, -0.14046831896218162, -0.20490353173310202, -0.03996396588738121, -0.011081315172348349, -0.03434938093913453, -0.23550499893026428, 0.12374320630693719, 0.01767991485428952, -0.0008101864185716425, -0.07055418663769074, -0.04341714128053614, -0.006945509077715022, 0.06914195964068529, 0.1047383321604381, 0.06503449313874755, 0.14012547645141327, -0.1538023030252329, -0.08805936204180831, 0.4379826089810757, -0.11545227692196412, -0.18042253858986354, 0.16276386038710675, -0.15388644354506617, -0.0954439145579402, 0.1496736930927173, 0.11775570173437397, 0.0660191340150223, -0.12606102906755126, 0.15377658628526011, -0.017352616798043962, 0.16703407069823395, 0.09510677632476602, 0.0416526690961854, 0.2693930742109106, 0.11676126173919156, 0.057283096707292966, 0.09857912573719486, -0.06794029437504442, -0.10569552169181406, -0.3736182119874727, -0.1602471560938284, -0.17366251564540325, 0.0815469814287055, -0.1311300165549342, -0.15124365769858872, 0.38617585322686604, 0.14289434023722564, 0.22244352756866387, 0.03230504157753395, 0.28599838295596697, 0.08019974529743194, 0.0827020095506062, 0.07099748085740776, 0.28586687884692635, 0.12701599222851828, 0.11598031171154054, -0.21451695873180315, 0.012472460108498732, 0.032865225789802416] |
711.4898 | Values of coefficients of cyclotomic polynomials II | Let a(n,k) be the kth coefficient of the nth cyclotomic polynomial. The first
two authors showed in part I that if m is a prime power and n and k range over
the non-negative integers, then a(mn,k) assumes every integer value. Here this
result is extended to the case where m is arbitrary.
The proof use some properties of reciprocal cyclotomic polynomials (see
arXiv:0709.1570).
| math.NT | let ank be the kth coefficient of the nth cyclotomic polynomial the first two authors showed in part i that if m is a prime power and n and k range over the nonnegative integers then amnk assumes every integer value here this result is extended to the case where m is arbitrary the proof use some properties of reciprocal cyclotomic polynomials see arxiv07091570 | [['let', 'ank', 'be', 'the', 'kth', 'coefficient', 'of', 'the', 'nth', 'cyclotomic', 'polynomial', 'the', 'first', 'two', 'authors', 'showed', 'in', 'part', 'i', 'that', 'if', 'm', 'is', 'a', 'prime', 'power', 'and', 'n', 'and', 'k', 'range', 'over', 'the', 'nonnegative', 'integers', 'then', 'amnk', 'assumes', 'every', 'integer', 'value', 'here', 'this', 'result', 'is', 'extended', 'to', 'the', 'case', 'where', 'm', 'is', 'arbitrary', 'the', 'proof', 'use', 'some', 'properties', 'of', 'reciprocal', 'cyclotomic', 'polynomials', 'see', 'arxiv07091570']] | [-0.21789049370695027, 0.10664168341205485, -0.06984403223219898, -0.03543557383255252, -0.1095903400527013, -0.16222170870300504, -0.04546203268992324, 0.2621240899898112, -0.3377934101848833, -0.22928847571564537, 0.06598994451867897, -0.280803790421135, -0.1719169215592105, 0.1632088599200811, -0.03415072417157071, -0.050915097956725906, -0.006551315332011831, 0.15425103480717348, -0.021160132713585852, -0.3571207994715341, 0.31851746870445147, -0.03400247140727457, 0.12002498461233993, 0.053594086664698774, 0.0968090460425423, 0.017584196772546537, -0.004637522488689771, -0.022116728573417923, -0.15896353518063175, 0.0541299348884833, 0.32848832996622207, 0.08711820568949465, 0.31765584127917407, -0.31290025886424233, -0.11301405223146561, 0.25319973232915566, 0.16362807029978402, -0.0521334828959117, 0.0411857653018688, -0.16827693716397568, 0.18779206344287, -0.15257380652286473, -0.13579483525902633, -0.000582524590314396, 0.1303898943287711, 0.0513670617158735, -0.3701288994221437, -0.012373312902186186, 0.1061304000266377, 0.11107635431953015, -0.03176692785364726, -0.2121363656760584, 0.033495685588868875, 0.04909194341199773, -0.012178773732645618, 0.023054588180516037, 0.016685454331661364, -0.01739854922503113, -0.0992414826121662, 0.3683117734598777, -0.08828855152692526, -0.20646365448051401, 0.032280328668533795, -0.22559988863706107, -0.15290328025096847, 0.10107232603965507, 0.05927790291306953, 0.17015830142002913, 0.016291583873211377, 0.20055679101008742, -0.17006632778793573, 0.16666414866584442, 0.13917236289970816, -0.03756207144338517, 0.15541623828692303, -0.009315993103589262, 0.07288134203953368, 0.15976918797241524, -0.0011607732759007523, 0.02130903630337167, -0.33272199301169286, -0.20385876356346172, -0.29050193339466085, 0.15318381328195815, -0.1434900447601385, -0.09495314008240859, 0.3661027016839193, 0.11023599379545738, 0.1730709768110706, 0.1529609597074018, 0.26135550001485935, 0.138183721806854, 0.01636696265890233, 0.09515862122568633, 0.06834355467834675, 0.2030592372400626, 0.038590157845793595, -0.14392096408072017, 0.035305753124937896, 0.18123237775158016] |
711.4899 | A quantum exactly solvable non-linear oscillator related with the
isotonic oscillator | A nonpolynomial one-dimensional quantum potential representing an oscillator,
that can be considered as placed in the middle between the harmonic oscillator
and the isotonic oscillator (harmonic oscillator with a centripetal barrier),
is studied. First the general case, that depends of a parameter $a$, is
considered and then a particular case is studied with great detail. It is
proven that it is Schr\"odinger solvable and then the wave functions $\Psi_n$
and the energies $E_n$ of the bound states are explicitly obtained. Finally it
is proven that the solutions determine a family of orthogonal polynomials
${\cal P}_n(x)$ related with the Hermite polynomials and such that: (i) Every
${\cal P}_n$ is a linear combination of three Hermite polynomials, and (ii)
They are orthogonal with respect to a new measure obtained by modifying the
classic Hermite measure.
| quant-ph | a nonpolynomial onedimensional quantum potential representing an oscillator that can be considered as placed in the middle between the harmonic oscillator and the isotonic oscillator harmonic oscillator with a centripetal barrier is studied first the general case that depends of a parameter a is considered and then a particular case is studied with great detail it is proven that it is schrodinger solvable and then the wave functions psi_n and the energies e_n of the bound states are explicitly obtained finally it is proven that the solutions determine a family of orthogonal polynomials cal p_nx related with the hermite polynomials and such that i every cal p_n is a linear combination of three hermite polynomials and ii they are orthogonal with respect to a new measure obtained by modifying the classic hermite measure | [['a', 'nonpolynomial', 'onedimensional', 'quantum', 'potential', 'representing', 'an', 'oscillator', 'that', 'can', 'be', 'considered', 'as', 'placed', 'in', 'the', 'middle', 'between', 'the', 'harmonic', 'oscillator', 'and', 'the', 'isotonic', 'oscillator', 'harmonic', 'oscillator', 'with', 'a', 'centripetal', 'barrier', 'is', 'studied', 'first', 'the', 'general', 'case', 'that', 'depends', 'of', 'a', 'parameter', 'a', 'is', 'considered', 'and', 'then', 'a', 'particular', 'case', 'is', 'studied', 'with', 'great', 'detail', 'it', 'is', 'proven', 'that', 'it', 'is', 'schrodinger', 'solvable', 'and', 'then', 'the', 'wave', 'functions', 'psi_n', 'and', 'the', 'energies', 'e_n', 'of', 'the', 'bound', 'states', 'are', 'explicitly', 'obtained', 'finally', 'it', 'is', 'proven', 'that', 'the', 'solutions', 'determine', 'a', 'family', 'of', 'orthogonal', 'polynomials', 'cal', 'p_nx', 'related', 'with', 'the', 'hermite', 'polynomials', 'and', 'such', 'that', 'i', 'every', 'cal', 'p_n', 'is', 'a', 'linear', 'combination', 'of', 'three', 'hermite', 'polynomials', 'and', 'ii', 'they', 'are', 'orthogonal', 'with', 'respect', 'to', 'a', 'new', 'measure', 'obtained', 'by', 'modifying', 'the', 'classic', 'hermite', 'measure']] | [-0.12350598078166813, 0.1380896516735324, -0.04587954381494818, 0.04595665394808201, -0.04228820301648369, -0.19961263809381122, -0.04120226203388695, 0.36182519585538403, -0.2680032048759548, -0.1786229418423482, 0.09017303138376123, -0.279124453663826, -0.1855219899940644, 0.2037808241872327, -0.021154433550117046, 0.057022235272242164, 0.04094765588809225, 0.0862274026162082, -0.07205101315376762, -0.23540530969997994, 0.3065787406036056, 0.03979060701462195, 0.2102907730644583, 0.008039965371328188, 0.10962228526718411, -0.035893721197017545, 0.04140675364104204, -0.009611853618959063, -0.12630054530740367, 0.11663202291286263, 0.22579202004113144, 0.0839596899310337, 0.2601319563372019, -0.35252327784520393, -0.14993171732788696, 0.17178243341246494, 0.15773773715740308, 0.07058390230815717, -0.02076521410109629, -0.2664446077393578, 0.022461162918576395, -0.15782281525671146, -0.19724005934103092, -0.0698959729284104, 0.05833929409518054, 0.10681172643781156, -0.29923568953780977, 0.030383252241137557, 0.08691630157453001, 0.029362885479781824, -0.0288715609244274, -0.11855895534819483, -0.055234534893521016, 0.04910081101203323, -0.011030111453124792, 0.05719622405932138, 0.0511400676152977, -0.07672005411827433, -0.1029528329727464, 0.4263949188507946, -0.06137849707235197, -0.29334825396369724, 0.1270291452345095, -0.15690849464792841, -0.11922870694897733, 0.06440608575940132, 0.09444368006381437, 0.11721303450167739, -0.11368138896287384, 0.14808570632546497, -0.06052484517710028, 0.1287311045363234, 0.13061649945417517, 0.002381751473548409, 0.12148365947677005, 0.06517089469729453, 0.07219039100831501, 0.17806048556038395, -0.02343940945986406, -0.11091981767641759, -0.3160803740970174, -0.15895212362073993, -0.24324236443280278, 0.040176202791994194, -0.09536823025782928, -0.16623020103495373, 0.42736820069918957, 0.02741487536061191, 0.17415375717656506, 0.0576057206048049, 0.21895882080806264, 0.2563196320822629, 0.030460043115317262, 0.04415999538146127, 0.2340073840258489, 0.1884406804460752, 0.029295571122136443, -0.1954235628149227, -0.00794593689445042, 0.10568956346461143] |
711.49 | The charged Higgs boson mass in the 2HDM: decoupling and CP violation | Mass range of the charged Higgs boson in the 2HDM with explicit and
spontaneous CP violation is discussed. Constraints on M_H+ in the CP conserving
2HDM(II) are shown.
| hep-ph | mass range of the charged higgs boson in the 2hdm with explicit and spontaneous cp violation is discussed constraints on m_h in the cp conserving 2hdmii are shown | [['mass', 'range', 'of', 'the', 'charged', 'higgs', 'boson', 'in', 'the', '2hdm', 'with', 'explicit', 'and', 'spontaneous', 'cp', 'violation', 'is', 'discussed', 'constraints', 'on', 'm_h', 'in', 'the', 'cp', 'conserving', '2hdmii', 'are', 'shown']] | [-0.15383588288594702, 0.2768379444522517, 0.09992360270449094, 0.19675280022784136, -0.10091526294127107, -0.23348968848586082, 0.04729739483445883, 0.29886854386755396, -0.14263157431767987, -0.2937569223078234, 0.034031584085564, -0.21513702918309718, 0.04482649705771889, 0.1205954340486122, 0.04300817255196827, 0.10745702966648553, -0.012327841017395258, -0.011320474091917276, -0.1388830719183066, -0.22935733887633042, 0.28124748626058654, -0.05383470335177013, 0.2152251800455685, 0.1621009051533682, 0.03417897510475346, -0.008213568162838263, -0.04090018377506307, -0.1196906500096832, -0.1537538466842047, 0.010423708740355713, 0.1073482037921037, 0.10632626185127135, -0.01260090246796608, -0.25042866356670856, -0.09167487528507731, 0.23794708377681673, 0.17068936281637953, 0.10703112664798807, -0.16141291866162127, -0.41908019355365206, 0.0857557178242132, -0.21034959524071642, -0.04245539076094117, -0.0694019636388735, -0.02919234729571534, -0.11839681451341935, -0.4223000658676028, 0.15990032801138504, -0.12289276652570282, 0.0279137543069997, 0.06073805701453239, -0.17631917273891823, -0.14733269345015287, -0.11895868960501892, 0.29882311683780116, -0.029482785163314214, 0.17079542563962086, -0.18751808485415364, -0.15566803295431392, 0.49572897223489626, -0.06465650642556804, -0.23191291252650054, 0.11709316889755428, -0.21637786622159183, -0.21536038737810617, 0.1475727309339813, 0.17344587921564067, 0.059127729070106785, -0.22902473364956677, 0.30344628482583047, -0.07515673958031195, 0.1293880167151136, 0.02089142521643745, 0.10548890664774392, 0.29240564782438533, 0.21211712414930975, 0.0748757089022547, 0.028808165607707843, -0.05518004097809483, -0.1526935288815626, -0.4747044342969145, -0.15812484643954253, -0.026790162498530532, 0.0019867558564458576, -0.09376032438792338, -6.610474728014586e-05, 0.37706664224554387, 0.0693426230323634, 0.21442597642973332, 0.013123910940651382, 0.2555526452072497, 0.11228931841573545, 0.08726805724622214, -0.032688905900743394, 0.41587810817041565, 0.17466391436755657, 0.18437916181781994, -0.3131991134058418, -0.00837559045092868, 0.07209372626052105] |
711.4901 | Observational Tests of Planet Formation Models | We summarize the results of two experiments to address important issues
related to the correlation between planet frequencies and properties and the
metallicity of the hosts. Our results can usefully inform formation,
structural, and evolutionary models of gas giant planets.
| astro-ph | we summarize the results of two experiments to address important issues related to the correlation between planet frequencies and properties and the metallicity of the hosts our results can usefully inform formation structural and evolutionary models of gas giant planets | [['we', 'summarize', 'the', 'results', 'of', 'two', 'experiments', 'to', 'address', 'important', 'issues', 'related', 'to', 'the', 'correlation', 'between', 'planet', 'frequencies', 'and', 'properties', 'and', 'the', 'metallicity', 'of', 'the', 'hosts', 'our', 'results', 'can', 'usefully', 'inform', 'formation', 'structural', 'and', 'evolutionary', 'models', 'of', 'gas', 'giant', 'planets']] | [-0.09056304023979464, 0.0955620091757737, -0.08698547133244575, 0.1047761216526851, -0.09871669481508434, -0.028253698674961924, 0.07762966491281986, 0.3899444941431284, -0.1960849504219368, -0.3641077366191894, 0.09160122787579894, -0.27458486780524255, -0.20294982371851802, 0.1939276666729711, -0.05296359702479094, 0.02911195238120854, 0.09762174997013062, -0.09694063855567947, -0.08678772121202201, -0.3087081152014434, 0.33490938395261766, 0.0626688847783953, 0.15788175393827258, 0.09678884372115135, 0.0021455327630974354, -0.14304233505390584, -0.06683338250732049, -0.03022180963307619, -0.26537898343522104, 0.11399183120811358, 0.29622975336797025, 0.16642013993114232, 0.2396310548298061, -0.41668985076248644, -0.22192462023813278, 0.03341740106698125, 0.15530802286230028, 0.06380389739060774, -0.031138939084485173, -0.2636803077999502, 0.05632642963901162, -0.12812903453595936, -0.16884020336437972, -0.028613909566774964, -0.011294026672840119, 0.06764961779117584, -0.24904221668839455, 0.10988785547087901, 0.07649652612162754, 0.040478611929574984, -0.11987899894593283, -0.15996719687245786, -0.070559403084917, 0.1923771673347801, 0.0754876300226897, -0.021655467269010843, 0.17360172985354438, -0.12048934325575829, -0.13629384331725306, 0.3840416052378714, -0.06907052984461189, -0.07136156456544995, 0.34557446809485554, -0.17412634757347406, -0.15253535229712725, 0.001251129398588091, 0.21411296706646682, 0.07781844227574766, -0.155925525049679, -0.053670707861601843, 0.01679513994604349, 0.192238147277385, 0.004728741006692872, 0.08137433207593858, 0.3723948082770221, 0.1633692207513377, 0.000681536179035902, 0.07575577617390081, -0.14957263157702982, -0.09662533879745752, -0.14455380998551845, -0.13767932176124303, -0.11620098936837167, -0.0014872754225507378, -0.10133497734677803, -0.07518751861061901, 0.4148438315838575, 0.24251947620650754, 0.22040310418233275, -0.004199473070912063, 0.2745673715573503, 0.04117034224618692, 0.0792506375350058, 0.05396486183162778, 0.2625828230753541, 0.19545271792449057, 0.0471754324156791, -0.32895127637311816, 0.11159236733801663, -0.01581119475886226] |
711.4902 | Circumspect descent prevails in solving random constraint satisfaction
problems | We study the performance of stochastic local search algorithms for random
instances of the $K$-satisfiability ($K$-SAT) problem. We introduce a new
stochastic local search algorithm, ChainSAT, which moves in the energy
landscape of a problem instance by {\em never going upwards} in energy.
ChainSAT is a \emph{focused} algorithm in the sense that it considers only
variables occurring in unsatisfied clauses. We show by extensive numerical
investigations that ChainSAT and other focused algorithms solve large $K$-SAT
instances almost surely in linear time, up to high clause-to-variable ratios
$\alpha$; for example, for K=4 we observe linear-time performance well beyond
the recently postulated clustering and condensation transitions in the solution
space. The performance of ChainSAT is a surprise given that by design the
algorithm gets trapped into the first local energy minimum it encounters, yet
no such minima are encountered. We also study the geometry of the solution
space as accessed by stochastic local search algorithms.
| cs.DS cond-mat.stat-mech cs.AI | we study the performance of stochastic local search algorithms for random instances of the ksatisfiability ksat problem we introduce a new stochastic local search algorithm chainsat which moves in the energy landscape of a problem instance by em never going upwards in energy chainsat is a emphfocused algorithm in the sense that it considers only variables occurring in unsatisfied clauses we show by extensive numerical investigations that chainsat and other focused algorithms solve large ksat instances almost surely in linear time up to high clausetovariable ratios alpha for example for k4 we observe lineartime performance well beyond the recently postulated clustering and condensation transitions in the solution space the performance of chainsat is a surprise given that by design the algorithm gets trapped into the first local energy minimum it encounters yet no such minima are encountered we also study the geometry of the solution space as accessed by stochastic local search algorithms | [['we', 'study', 'the', 'performance', 'of', 'stochastic', 'local', 'search', 'algorithms', 'for', 'random', 'instances', 'of', 'the', 'ksatisfiability', 'ksat', 'problem', 'we', 'introduce', 'a', 'new', 'stochastic', 'local', 'search', 'algorithm', 'chainsat', 'which', 'moves', 'in', 'the', 'energy', 'landscape', 'of', 'a', 'problem', 'instance', 'by', 'em', 'never', 'going', 'upwards', 'in', 'energy', 'chainsat', 'is', 'a', 'emphfocused', 'algorithm', 'in', 'the', 'sense', 'that', 'it', 'considers', 'only', 'variables', 'occurring', 'in', 'unsatisfied', 'clauses', 'we', 'show', 'by', 'extensive', 'numerical', 'investigations', 'that', 'chainsat', 'and', 'other', 'focused', 'algorithms', 'solve', 'large', 'ksat', 'instances', 'almost', 'surely', 'in', 'linear', 'time', 'up', 'to', 'high', 'clausetovariable', 'ratios', 'alpha', 'for', 'example', 'for', 'k4', 'we', 'observe', 'lineartime', 'performance', 'well', 'beyond', 'the', 'recently', 'postulated', 'clustering', 'and', 'condensation', 'transitions', 'in', 'the', 'solution', 'space', 'the', 'performance', 'of', 'chainsat', 'is', 'a', 'surprise', 'given', 'that', 'by', 'design', 'the', 'algorithm', 'gets', 'trapped', 'into', 'the', 'first', 'local', 'energy', 'minimum', 'it', 'encounters', 'yet', 'no', 'such', 'minima', 'are', 'encountered', 'we', 'also', 'study', 'the', 'geometry', 'of', 'the', 'solution', 'space', 'as', 'accessed', 'by', 'stochastic', 'local', 'search', 'algorithms']] | [-0.11757976792011361, 0.08889208137560145, -0.0572296310994333, 0.11209917270370122, -0.051093193665637, -0.14961402634722426, 0.10941491539453732, 0.37517869379830937, -0.28770363705820945, -0.3539402493410499, 0.09872314418412555, -0.2600809879674527, -0.18443050335381964, 0.16656052573786215, -0.036939260928958995, 0.08936282252819326, 0.07676520046324616, 0.05068610324662203, -0.040775961032762244, -0.27001484938725634, 0.242133874164306, 0.05419433769604534, 0.22261033311951905, 0.0037005614568969528, 0.08872405276327443, 0.00783398121711798, -0.004231693900165786, 0.0867856869127105, -0.14448979848264953, 0.045183152611595064, 0.2524377892994763, 0.19001675427180567, 0.33105305465869606, -0.3879089751556565, -0.18787293549394235, 0.16779088271218107, 0.14066927496127105, 0.11900985292480695, -0.07010953118534465, -0.2597289536221835, 0.06216124659378788, -0.09373010864969968, -0.08823130412891164, -0.09142440132257577, 0.015326804282315271, 0.032121782436182626, -0.25552415399885686, 0.04182556999282832, 0.09027228138400364, -0.009721022163591298, -0.053302445399918054, -0.12154870069781809, 0.04880927419014226, 0.05180651081977167, 0.03575702620582888, 0.022587369814956265, 0.10698956624592508, -0.12774992104095872, -0.16092070656994015, 0.3804886915390135, -0.05831677047535777, -0.14747864789464266, 0.15197609545430169, -0.09165673548628356, -0.1800271831958334, 0.17777568039999, 0.18463010905198693, 0.17051607132184712, -0.13865658849183665, 0.12574911041500805, -0.07325581204311579, 0.1388020000572157, 0.07715442115410329, -0.011067764181796903, 0.14176163022669866, 0.19134713194063424, 0.15440779587707334, 0.16866345410227568, -0.04916257506518282, -0.13081875809554108, -0.2446069776840312, -0.14950207297959806, -0.20080472587754852, -0.001816571818811721, -0.09349848849275363, -0.16779112421882977, 0.35592399260004687, 0.15979882121686578, 0.20172482686680987, 0.07548162608949688, 0.2939344085446608, 0.12178537245735672, 0.03839210096607291, 0.15152018865506092, 0.20545499804153988, 0.052084707229177615, 0.11564939093200098, -0.197365863331422, 0.0776146279700027, 0.09943575499652836] |
711.4903 | Testing Planet Formation Models with Gaia $\mu$as Astrometry | In this paper, we first summarize the results of a large-scale double-blind
tests campaign carried out for the realistic estimation of the Gaia potential
in detecting and measuring planetary systems. Then, we put the identified
capabilities in context by highlighting the unique contribution that the Gaia
exoplanet discoveries will be able to bring to the science of extrasolar
planets during the next decade.
| astro-ph | in this paper we first summarize the results of a largescale doubleblind tests campaign carried out for the realistic estimation of the gaia potential in detecting and measuring planetary systems then we put the identified capabilities in context by highlighting the unique contribution that the gaia exoplanet discoveries will be able to bring to the science of extrasolar planets during the next decade | [['in', 'this', 'paper', 'we', 'first', 'summarize', 'the', 'results', 'of', 'a', 'largescale', 'doubleblind', 'tests', 'campaign', 'carried', 'out', 'for', 'the', 'realistic', 'estimation', 'of', 'the', 'gaia', 'potential', 'in', 'detecting', 'and', 'measuring', 'planetary', 'systems', 'then', 'we', 'put', 'the', 'identified', 'capabilities', 'in', 'context', 'by', 'highlighting', 'the', 'unique', 'contribution', 'that', 'the', 'gaia', 'exoplanet', 'discoveries', 'will', 'be', 'able', 'to', 'bring', 'to', 'the', 'science', 'of', 'extrasolar', 'planets', 'during', 'the', 'next', 'decade']] | [-0.08429833959847216, 0.08010144049804362, -0.08804729996278646, 0.03381222685695522, -0.12773924612159293, -0.028489050107993304, 0.08175644037749855, 0.30816046911336126, -0.22984145194410333, -0.34339705930047093, 0.13109708330612482, -0.292898904668012, -0.1807739415634719, 0.2557595706884823, -0.0672668730840087, 0.07255765240609882, 0.17923846188008727, -0.057990330404468944, -0.026894096739678866, -0.35111894455575754, 0.2858050676092269, 0.14020075075446614, 0.11627106754375356, 0.01897791619708259, 0.03169783395493314, -0.045065612096102936, -0.1504615851130987, -0.003956708983178177, -0.2063563832582856, 0.12668784891092588, 0.30760274711064994, 0.19959226194473487, 0.3175299923482632, -0.41544271337371025, -0.1935281678886404, 0.09604649572441029, 0.13702098846376415, 0.06586323107642654, -0.08758069363437475, -0.3502960150529231, 0.08627646243465799, -0.19725462411426836, -0.18277488066352873, -0.06872586710822015, 0.05511565531589209, 0.01914707050910072, -0.21044474033017954, -0.03851014349816574, 0.027412062255843056, 0.09833690440855063, -0.11597376268002249, -0.1217466683703519, 0.028205634760005132, 0.18521272704478295, 0.043203137681952546, 0.015592709019233191, 0.08940082062627115, -0.1375446125591499, -0.09833907368519003, 0.42694373724479523, -0.08080058395289742, -0.06434728355619997, 0.15504957273203349, -0.20900956593779108, -0.22171910743539533, 0.0375991588724511, 0.23665364031931238, 0.10183944766010557, -0.20531213299800005, -0.003677496033358491, 0.014261496149831347, 0.14408460201045115, 0.009827383291271944, 0.025533170476260168, 0.3553009819801128, 0.2046669986808584, 0.05144860463896914, 0.12182003718113438, -0.23092516686856038, -0.05707047248096575, -0.247766814002442, -0.18674373926801813, -0.16488426678355725, -0.006414164534016024, 0.012459273893794504, -0.03616516262529388, 0.43307245268471656, 0.2763020300143768, 0.08429839686741905, -0.027427185533775225, 0.32698356165062814, 0.023117425466244595, 0.06393908608024793, 0.008185889734517015, 0.3764048783951217, 0.08568591708391314, 0.15465523447427484, -0.19830496224116476, 0.0722964541203091, -0.03928991578268035] |
711.4904 | The Categorification of a Symmetric Operad is Independent of Signature | Given a symmetric operad $P$, and a signature (or generating sequence) $\Phi$
for $P$, we define a notion of the "categorification" (or "weakening") of $P$
with respect to $\Phi$. When $P$ is the symmetric operad whose algebras are
commutative monoids, with the standard signature, we recover the notion of
symmetric monoidal categories. We then show that this categorification is
independent (up to equivalence) of the choice of signature.
| math.CT | given a symmetric operad p and a signature or generating sequence phi for p we define a notion of the categorification or weakening of p with respect to phi when p is the symmetric operad whose algebras are commutative monoids with the standard signature we recover the notion of symmetric monoidal categories we then show that this categorification is independent up to equivalence of the choice of signature | [['given', 'a', 'symmetric', 'operad', 'p', 'and', 'a', 'signature', 'or', 'generating', 'sequence', 'phi', 'for', 'p', 'we', 'define', 'a', 'notion', 'of', 'the', 'categorification', 'or', 'weakening', 'of', 'p', 'with', 'respect', 'to', 'phi', 'when', 'p', 'is', 'the', 'symmetric', 'operad', 'whose', 'algebras', 'are', 'commutative', 'monoids', 'with', 'the', 'standard', 'signature', 'we', 'recover', 'the', 'notion', 'of', 'symmetric', 'monoidal', 'categories', 'we', 'then', 'show', 'that', 'this', 'categorification', 'is', 'independent', 'up', 'to', 'equivalence', 'of', 'the', 'choice', 'of', 'signature']] | [-0.1739738765035701, 0.08690107460407649, -0.10149924499530565, 0.06028045472339727, -0.11492470221813111, -0.15446714571718237, -0.03798560424611958, 0.35163841615704927, -0.4444369052482002, -0.23436175624802297, 0.0252813972902539, -0.23732566591420703, -0.12304784699260969, 0.10343717237907078, -0.12851044928709812, -0.0975656203004559, 0.04534494469407946, 0.15279065491631627, -0.13292629278251245, -0.21384630711091793, 0.45302862355567736, 0.012132109372246572, 0.1907298206077779, -0.020631818224073332, 0.06298379367217422, 0.005257616819375578, -0.04678442266167087, 0.0015887355651049053, -0.16152804174089397, 0.0876182382207309, 0.2833970788564971, 0.09063246932215835, 0.1888024234692292, -0.29882293980678215, -0.014297467560562141, 0.24068835255799487, 0.07006812381202027, 0.03815527518471593, -0.049669903812601286, -0.28801631283781987, 0.18171607845408075, -0.2410020729961723, -0.10919639449018766, -0.033978426835828406, 0.13938188682967687, -0.01582524406394976, -0.32860891184057384, -0.03545693150611923, 0.15799301788758705, 0.10623447182040442, -0.05113468754023094, -0.08273839891669066, -0.05885609122239711, 0.032273548715559576, -0.04538928359226488, 0.07264945502666866, 0.12703659787417992, -0.08970458773718051, -0.1634453666903188, 0.38573630080174875, -0.06639575786368154, -0.22926950651248368, 0.12550591923953855, -0.15786702881621964, -0.15424904174527482, 0.11792033901848994, 0.031193111461642033, 0.13464212025214425, 0.00487094901408829, 0.17349592466095654, -0.16739133743291912, 0.08779330383335679, 0.13901446078328744, 0.027761476711020805, 0.16377676848787814, 0.08427743592833661, 0.029156260783030817, 0.2026918188614004, 0.045619082486476094, -0.074620079351863, -0.3665276562575908, -0.18864842322107186, -0.06477475873030283, 0.15233281939564383, -0.0817502387728703, -0.2014915170832811, 0.3491194422411568, 0.08427232071099912, 0.18024302227422595, 0.16329225723850815, 0.2186340496649363, 0.06005382931941901, 0.10409165654495797, -0.012707137201419649, 0.0736965230488054, 0.2606367265860386, -0.029008721508195296, -0.11098248186959501, 0.02915830342509948, 0.17489230991615093] |
711.4905 | Magnetic fields, spots and weather in chemically peculiar stars | New observational techniques and sophisticated modelling methods has led to
dramatic breakthroughs in our understanding of the interplay between the
surface magnetism, atomic diffusion and atmospheric dynamics in chemically
peculiar stars. Magnetic Doppler images, constructed using spectropolarimetric
observations of Ap stars in all four Stokes parameters, reveal the presence of
small-scale field topologies. Abundance Doppler mapping has been perfected to
the level where distributions of many different chemical elements can be
deduced self-consistently for one star. The inferred chemical spot structures
are diverse and do not always trace underlying magnetic field geometry.
Moreover, horizontal chemical inhomogeneities are discovered in non-magnetic CP
stars and evolving chemical spots are observed for the first time in the bright
mercury-manganese star alpha And. These results show that in addition to
magnetic fields, another important non-magnetic structure formation mechanism
acts in CP stars.
| astro-ph | new observational techniques and sophisticated modelling methods has led to dramatic breakthroughs in our understanding of the interplay between the surface magnetism atomic diffusion and atmospheric dynamics in chemically peculiar stars magnetic doppler images constructed using spectropolarimetric observations of ap stars in all four stokes parameters reveal the presence of smallscale field topologies abundance doppler mapping has been perfected to the level where distributions of many different chemical elements can be deduced selfconsistently for one star the inferred chemical spot structures are diverse and do not always trace underlying magnetic field geometry moreover horizontal chemical inhomogeneities are discovered in nonmagnetic cp stars and evolving chemical spots are observed for the first time in the bright mercurymanganese star alpha and these results show that in addition to magnetic fields another important nonmagnetic structure formation mechanism acts in cp stars | [['new', 'observational', 'techniques', 'and', 'sophisticated', 'modelling', 'methods', 'has', 'led', 'to', 'dramatic', 'breakthroughs', 'in', 'our', 'understanding', 'of', 'the', 'interplay', 'between', 'the', 'surface', 'magnetism', 'atomic', 'diffusion', 'and', 'atmospheric', 'dynamics', 'in', 'chemically', 'peculiar', 'stars', 'magnetic', 'doppler', 'images', 'constructed', 'using', 'spectropolarimetric', 'observations', 'of', 'ap', 'stars', 'in', 'all', 'four', 'stokes', 'parameters', 'reveal', 'the', 'presence', 'of', 'smallscale', 'field', 'topologies', 'abundance', 'doppler', 'mapping', 'has', 'been', 'perfected', 'to', 'the', 'level', 'where', 'distributions', 'of', 'many', 'different', 'chemical', 'elements', 'can', 'be', 'deduced', 'selfconsistently', 'for', 'one', 'star', 'the', 'inferred', 'chemical', 'spot', 'structures', 'are', 'diverse', 'and', 'do', 'not', 'always', 'trace', 'underlying', 'magnetic', 'field', 'geometry', 'moreover', 'horizontal', 'chemical', 'inhomogeneities', 'are', 'discovered', 'in', 'nonmagnetic', 'cp', 'stars', 'and', 'evolving', 'chemical', 'spots', 'are', 'observed', 'for', 'the', 'first', 'time', 'in', 'the', 'bright', 'mercurymanganese', 'star', 'alpha', 'and', 'these', 'results', 'show', 'that', 'in', 'addition', 'to', 'magnetic', 'fields', 'another', 'important', 'nonmagnetic', 'structure', 'formation', 'mechanism', 'acts', 'in', 'cp', 'stars']] | [-0.11508980446387136, 0.18261567731320427, -0.05538899052645201, 0.0859037337983297, -0.12738786405374203, -0.08733353241299535, 0.024649889188130266, 0.41949283029290213, -0.25122268796616665, -0.3717245792875579, 0.022822647541930117, -0.23765372838892473, -0.10640607086563672, 0.19571815624553035, -0.00986419876774206, -0.02228107511325726, 0.06646240666252223, -0.03240100231082381, -0.043671841345106564, -0.22796411853741502, 0.3137504951387266, 0.008066644480424946, 0.21879031361743767, -0.001872947776987069, -0.007784501396362548, -0.1275429039336471, -0.06212810066231675, 0.04824099819297376, -0.1196207407361805, 0.017221040677859623, 0.21998208735063943, 0.08692842443385904, 0.17488811027251885, -0.4467947364555321, -0.3062502207568563, 0.0675674749757003, 0.17019475305088513, 0.102015422447922, -0.13266651407542193, -0.27224542973293125, 0.05213073340828355, -0.07042952332699644, -0.1410868025276864, -0.0730661303344844, 0.03086931227311573, 0.03871306220231497, -0.2563970546981327, 0.0573278992737144, 0.0422359933794908, 0.13653922198927435, -0.11493006619570804, -0.14014977289606695, -0.09123123680963519, 0.14761942335863368, 0.03748329447420395, 0.030938476897089444, 0.15175457139485987, -0.12759097218108567, -0.07041245550625837, 0.39346577945178834, -0.09198019391033745, -0.06758313467403439, 0.21703972793994067, -0.22121361172015686, -0.19353248709745274, 0.1430726231335649, 0.15076896870859724, 0.12358042169902203, -0.17640797947440634, 0.04317701582424005, 0.0038758661847669578, 0.15299809409939832, 0.0630616141108634, 0.057238515112144145, 0.29658425057414867, 0.13146723248064518, 0.007822082858394318, 0.044713683704764626, -0.20421924285145235, -0.08992314143308802, -0.171635545471266, -0.12527934956175368, -0.10665630426787623, 0.052934320501926646, -0.11185305663061824, -0.1613888004322307, 0.36709853784565855, 0.1420433304215228, 0.17087715167714201, -0.11500445205002915, 0.29969469481822697, 0.05949336982187073, 0.10077681385007674, 0.07085023714107988, 0.27199378929683427, 0.24754723979403143, 0.14235360652167836, -0.27201018212202843, 0.1068293330144893, 0.012385019246299846] |
711.4906 | Measuring the period of the delta Scuti variable U1425-01208594 in
Cassiopeia | The variability of U1425-01208594 was recently discovered by Schmidtobreick
et al, who suggested that it is a member of the delta Scuti family of pulsating
stars. Photometry conducted by the authors revealed a period of 0.06695(8) d
and a peak-to-peak amplitude of 0.014 mag.
| astro-ph | the variability of u142501208594 was recently discovered by schmidtobreick et al who suggested that it is a member of the delta scuti family of pulsating stars photometry conducted by the authors revealed a period of 0066958 d and a peaktopeak amplitude of 0014 mag | [['the', 'variability', 'of', 'u142501208594', 'was', 'recently', 'discovered', 'by', 'schmidtobreick', 'et', 'al', 'who', 'suggested', 'that', 'it', 'is', 'a', 'member', 'of', 'the', 'delta', 'scuti', 'family', 'of', 'pulsating', 'stars', 'photometry', 'conducted', 'by', 'the', 'authors', 'revealed', 'a', 'period', 'of', '0066958', 'd', 'and', 'a', 'peaktopeak', 'amplitude', 'of', '0014', 'mag']] | [-0.12195537380147271, 0.14719903509973026, -0.13064748989190997, -0.02196074003160636, -0.14994936661295047, -0.09325307919984548, 0.19353097077549958, 0.3101770782434359, -0.1262287258081104, -0.3941605558119169, 0.019662898238294008, -0.33556549587264295, -0.18820888078885106, 0.21350960861664356, -0.14597735816340257, 0.05428448101369346, 0.11338873203026086, -0.057734763386046016, 0.03499126006712819, -0.34893444089627845, 0.20955987815268157, 0.02086035375733201, 0.12332021231513197, -0.1247787784626026, 0.02747915429631021, -0.0673746423023503, -0.13114541191281182, -0.015278563630290148, -0.2023783340979518, 0.012226455844938755, 0.1712732911564228, 0.09404449708896076, 0.28641414762724465, -0.1831547487527132, -0.26957489593272527, 0.01675086344092539, 0.14954493939876556, -0.03904626545746152, -0.002309446035679884, -0.33956447475385376, 0.07877779577109145, -0.1941877013390384, -0.21299603238429238, 0.0541260702898953, 0.24930508934506557, 0.019888900174963767, -0.2789450747119944, 0.15005812007172897, 0.04836143169370366, 0.17796782908461442, -0.051193659778729805, -0.16870343983854827, -0.08379871516329486, -0.008632880033607163, 0.037849641649234225, 0.16894052646736182, -0.0615321828347699, -0.05131688305154079, -0.06548594133701266, 0.32844607807304027, -0.09532919529507436, 0.05235865064783067, 0.12105945287209867, -0.1644577796729963, -0.1612695158436531, 0.10023969068850686, 0.09453971579489184, 0.1906536768883376, -0.20996735531200722, 0.052111464619307164, -0.029609441348328824, 0.25441308679604313, 0.16320496206966842, -0.0006689308324783314, 0.22356871665432687, 0.14693675512765966, -0.05175277808249542, 0.06170521304011345, -0.2539948915165463, 0.020832914227290396, -0.1873952206451355, -0.06987875368355251, -0.15719335698863354, 0.07732615701104628, -0.0358284515631811, -0.11080226965430306, 0.4451830486607988, 0.013501019148928364, 0.15092178418232902, -0.05311367628959621, 0.15600139338795732, 0.0841065172514901, 0.10690583412360866, 0.14857243540946666, 0.3534376865207422, 0.2246272191973176, 0.11846347162272872, -0.22251853366132554, 0.12719734225467574, 0.038328541124739296] |
711.4907 | New generation model atmospheres for chemically peculiar stars | The atmospheric structure of chemically peculiar stars deviates from that of
normal stars with similar fundamental parameters due to unusual chemistry,
abundance inhomogeneities and the presence of strong magnetic field. These
effects are not considered in the standard model atmospheres, possibly leading
to large errors in the stellar parameter determination and abundance analysis.
To tackle this problem we used the state-of-the-art opacity sampling model
atmosphere code LLmodels to calculate comprehensive grid of new generation
model atmospheres for magnetic CP stars. This grid covers the whole parameter
space occupied by SrCrEu and Si-peculiar stars, taking into account
characteristic temperature dependence of the chemical abundances. Here we
present the first results of our model atmosphere calculations.
| astro-ph | the atmospheric structure of chemically peculiar stars deviates from that of normal stars with similar fundamental parameters due to unusual chemistry abundance inhomogeneities and the presence of strong magnetic field these effects are not considered in the standard model atmospheres possibly leading to large errors in the stellar parameter determination and abundance analysis to tackle this problem we used the stateoftheart opacity sampling model atmosphere code llmodels to calculate comprehensive grid of new generation model atmospheres for magnetic cp stars this grid covers the whole parameter space occupied by srcreu and sipeculiar stars taking into account characteristic temperature dependence of the chemical abundances here we present the first results of our model atmosphere calculations | [['the', 'atmospheric', 'structure', 'of', 'chemically', 'peculiar', 'stars', 'deviates', 'from', 'that', 'of', 'normal', 'stars', 'with', 'similar', 'fundamental', 'parameters', 'due', 'to', 'unusual', 'chemistry', 'abundance', 'inhomogeneities', 'and', 'the', 'presence', 'of', 'strong', 'magnetic', 'field', 'these', 'effects', 'are', 'not', 'considered', 'in', 'the', 'standard', 'model', 'atmospheres', 'possibly', 'leading', 'to', 'large', 'errors', 'in', 'the', 'stellar', 'parameter', 'determination', 'and', 'abundance', 'analysis', 'to', 'tackle', 'this', 'problem', 'we', 'used', 'the', 'stateoftheart', 'opacity', 'sampling', 'model', 'atmosphere', 'code', 'llmodels', 'to', 'calculate', 'comprehensive', 'grid', 'of', 'new', 'generation', 'model', 'atmospheres', 'for', 'magnetic', 'cp', 'stars', 'this', 'grid', 'covers', 'the', 'whole', 'parameter', 'space', 'occupied', 'by', 'srcreu', 'and', 'sipeculiar', 'stars', 'taking', 'into', 'account', 'characteristic', 'temperature', 'dependence', 'of', 'the', 'chemical', 'abundances', 'here', 'we', 'present', 'the', 'first', 'results', 'of', 'our', 'model', 'atmosphere', 'calculations']] | [-0.048515135916856536, 0.15044267908711217, -0.03147932587282122, 0.08557688275690034, -0.09908907228578047, -0.04901779923522103, 0.08326143228893984, 0.34654197546826526, -0.23821617191476105, -0.3831611747103455, 0.009735778017398136, -0.23617775030681384, -0.037030760137018115, 0.16259936162835167, -0.04446579191825493, -0.0018605998329884184, 0.0874101109802723, -0.0844320416392808, -0.04284282900450702, -0.22907192728160758, 0.321618325981534, 0.07254726629275664, 0.18301278527875522, 0.013172630344278517, -0.012213141537390946, -0.10182214035875106, -0.05415088884466517, 0.02193743597476051, -0.1881006196045561, 0.039565667731530835, 0.19358722219424965, 0.08506186993842103, 0.15948895076743072, -0.41472793459496665, -0.2865033556987424, 0.0865383340556801, 0.1603909417104998, 0.11435670160845054, -0.08393711746624975, -0.23555756635568312, 0.02404187218722912, -0.13424812635794217, -0.14803380791439913, -0.06339606211677326, -0.00921449021836001, -0.013557801323951083, -0.28287891135602544, 0.07903484667989269, 0.03434988167713833, 0.11204607452339836, -0.12248969533835101, -0.1887625988853057, -0.07032735717474622, 0.12975876602813996, 0.03805639396578205, -0.0052683704895321775, 0.1261840868245221, -0.11012733273982869, 1.207276750191123e-05, 0.45876273791412864, -0.1397993774276919, -0.09202426282145017, 0.17463488155662749, -0.1950559944565515, -0.18173071353045184, 0.14235101098738676, 0.2060160431846053, 0.12921102977907944, -0.16739626309218347, 0.06589478555401226, -0.002193903715341492, 0.18463773294805294, -0.0001456417448291209, 0.018859572688002237, 0.27967913167765446, 0.18377466520409932, -0.0026163610565863482, 0.07203536154084171, -0.17886627623316856, -0.10169263436269443, -0.2202582569150007, -0.1252760107637243, -0.10484443211400535, 0.017538848534083218, -0.13518112636569463, -0.22326884708012892, 0.41201701353971676, 0.21534419430222, 0.1601759494010326, -0.019002051122560766, 0.347139996534164, 0.09227601605141947, 0.07686003569546526, 0.08869942022174333, 0.24326164846564025, 0.218567108960031, 0.09211049394154575, -0.27664378888295155, 0.11398875469391324, 0.023069943915393236] |
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