id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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710.3453 | Inefficient quantum walks on networks: the role of the density of states | We show by general arguments that networks whose density of states contains
few highly degenerate eigenvalues result in inefficient performances of
continuous-time quantum walks (CTQW) over these networks, while systems whose
eigenvalues all have the same degeneracy lead to very efficient transport. We
exemplify our results by considering CTQW and, for comparison, its classical
counterpart, continuous-time random walks, over simple structures, whose
eigenvalues and eigenstates can be calculated analytically. Extensions to more
complicated, hyper-branched networks are discussed.
| quant-ph cond-mat.stat-mech | we show by general arguments that networks whose density of states contains few highly degenerate eigenvalues result in inefficient performances of continuoustime quantum walks ctqw over these networks while systems whose eigenvalues all have the same degeneracy lead to very efficient transport we exemplify our results by considering ctqw and for comparison its classical counterpart continuoustime random walks over simple structures whose eigenvalues and eigenstates can be calculated analytically extensions to more complicated hyperbranched networks are discussed | [['we', 'show', 'by', 'general', 'arguments', 'that', 'networks', 'whose', 'density', 'of', 'states', 'contains', 'few', 'highly', 'degenerate', 'eigenvalues', 'result', 'in', 'inefficient', 'performances', 'of', 'continuoustime', 'quantum', 'walks', 'ctqw', 'over', 'these', 'networks', 'while', 'systems', 'whose', 'eigenvalues', 'all', 'have', 'the', 'same', 'degeneracy', 'lead', 'to', 'very', 'efficient', 'transport', 'we', 'exemplify', 'our', 'results', 'by', 'considering', 'ctqw', 'and', 'for', 'comparison', 'its', 'classical', 'counterpart', 'continuoustime', 'random', 'walks', 'over', 'simple', 'structures', 'whose', 'eigenvalues', 'and', 'eigenstates', 'can', 'be', 'calculated', 'analytically', 'extensions', 'to', 'more', 'complicated', 'hyperbranched', 'networks', 'are', 'discussed']] | [-0.1303640162714382, 0.14374023902928457, -0.05326048004767531, 0.09388105747858425, -0.005718570922247388, -0.19955182134161714, 0.03309121158415476, 0.440412294796922, -0.2505373016314267, -0.233844204944885, 0.11376538998507835, -0.26670299505954004, -0.21196946559788346, 0.2239215046457656, -0.041161261644069254, 0.08808108188692698, 0.13064315355709427, 0.009037562670161972, -0.046382315145418435, -0.26880402201423786, 0.26550341953898404, 0.03788296835249072, 0.23530605269063795, 0.015546862731457918, 0.044799929369821564, 0.0027748741876249287, 0.010882370760543393, 0.03498342306679719, -0.10213557922618853, 0.11755587456539249, 0.27146962668456426, 0.03501668705471924, 0.22777982628239052, -0.45361377211747234, -0.24358978286966101, 0.16058864837584944, 0.17952407672154633, 0.12795358170247215, -0.0014865562637629858, -0.337968146077708, 0.08945667215580629, -0.176649489639593, -0.12713545241526195, -0.13425312615785892, 0.005699040944228408, 0.054976638838158946, -0.19660597023638812, 0.08791443187359406, 0.051234481251472, 0.012244874067217498, 0.02452901224288243, -0.1530467466823152, -0.028902849992858123, 0.10025019929200024, -0.026494618388682424, -0.13020583618184334, 0.10160508314026641, -0.08711044751251322, -0.20215933424021518, 0.3732685616312476, -0.029187848198820244, -0.2375597630615358, 0.20348461561945158, -0.1272409310588589, -0.15093418062579902, 0.13874911910449095, 0.14893360776439696, 0.14630690323454992, -0.15296549190367972, 0.08042108156119607, -0.03407171392335569, 0.07174406880089505, 0.04301590004984241, 0.08272083066539936, 0.18717618487388282, 0.09435867943329276, 0.0959084663485697, 0.1308166056027781, 0.03445502119017886, -0.2420410826717588, -0.20936533309785382, -0.07394381877421946, -0.24927787613819125, 0.12027697487697973, -0.13181236795680415, -0.20757290938651407, 0.4231445530502053, 0.13620940630563064, 0.21584864987616803, 0.15167577386616016, 0.22199610413910895, 0.1701097567943711, 0.021838010724198508, 0.12446328418407976, 0.1755289402729892, 0.19670974289659748, 0.04424630291155213, -0.14586173902664865, 0.057795222618846925, 0.04128365075917213] |
710.3454 | Measurement of Mass and Spin of Black Holes with QPOs | There are now four low mass X-ray binaries with black holes which show twin
resonant-like HFQPOs. Similar QPOs might have been found in Sgr A*. I review
the power spectral density distributions of the three X-ray flares and the six
NIR flares published for Sgr A* so far, in order to look for more similarities
than just the frequencies between the microquasar black holes and Sgr A*. The
three X-ray flares of Sgr A* are re-analysed in an identical way and white
noise probabilities from their power density distributions are given for the
periods reported around 1100 s. Progress of the resonant theory using the
anomalous orbital velocity effect is summarized.
| astro-ph | there are now four low mass xray binaries with black holes which show twin resonantlike hfqpos similar qpos might have been found in sgr a i review the power spectral density distributions of the three xray flares and the six nir flares published for sgr a so far in order to look for more similarities than just the frequencies between the microquasar black holes and sgr a the three xray flares of sgr a are reanalysed in an identical way and white noise probabilities from their power density distributions are given for the periods reported around 1100 s progress of the resonant theory using the anomalous orbital velocity effect is summarized | [['there', 'are', 'now', 'four', 'low', 'mass', 'xray', 'binaries', 'with', 'black', 'holes', 'which', 'show', 'twin', 'resonantlike', 'hfqpos', 'similar', 'qpos', 'might', 'have', 'been', 'found', 'in', 'sgr', 'a', 'i', 'review', 'the', 'power', 'spectral', 'density', 'distributions', 'of', 'the', 'three', 'xray', 'flares', 'and', 'the', 'six', 'nir', 'flares', 'published', 'for', 'sgr', 'a', 'so', 'far', 'in', 'order', 'to', 'look', 'for', 'more', 'similarities', 'than', 'just', 'the', 'frequencies', 'between', 'the', 'microquasar', 'black', 'holes', 'and', 'sgr', 'a', 'the', 'three', 'xray', 'flares', 'of', 'sgr', 'a', 'are', 'reanalysed', 'in', 'an', 'identical', 'way', 'and', 'white', 'noise', 'probabilities', 'from', 'their', 'power', 'density', 'distributions', 'are', 'given', 'for', 'the', 'periods', 'reported', 'around', '1100', 's', 'progress', 'of', 'the', 'resonant', 'theory', 'using', 'the', 'anomalous', 'orbital', 'velocity', 'effect', 'is', 'summarized']] | [-0.10102144069864775, 0.15654508313617715, -0.0615127730258816, 0.17390236522486383, -0.08381269474803293, -0.10865865730856722, 0.04368632818207245, 0.42373156764015957, -0.12686009350996297, -0.345767682188674, 0.05215464570236535, -0.3719446511180371, -0.06355554951136713, 0.2549169435635679, -0.03932103505442003, 0.04667543641685903, 0.05137730625495818, -0.005301727901259018, -0.07911305771595253, -0.20182323904691246, 0.25939789362805515, 0.04391798844376394, 0.16498907342519578, -0.06770691515559012, 0.041845586308202634, -0.09886243412541729, -0.025591412047343748, -0.023210452948193495, -0.10971214669244783, 0.05878763264968052, 0.23049156250104913, 0.087939890401505, 0.20533334695826377, -0.38974903320876864, -0.260526833187386, 0.031682900169881074, 0.1438813485616298, 0.014950855562740282, -0.06714299796760052, -0.22435229922737088, 0.07074034308830092, -0.24401508399226643, -0.13397199775486648, 0.030841175198483152, 0.12063297483784792, 0.03934082386360781, -0.1846854873840605, 0.10835857508569821, 0.0390740902297333, 0.04839378420414554, -0.13193549219569242, -0.11374716425465571, -0.028829115157661674, 0.07257290082660646, 0.10866257764592029, 0.0401647946302284, 0.11838868296461867, -0.07063261623209056, -0.14562811119364458, 0.3425008047488518, -0.045680022041385715, -0.014839850704873668, 0.2015974018366185, -0.30012864321638066, -0.21032374743204396, 0.14965936133789048, 0.10434063710272312, 0.13804602446370162, -0.18546703510691184, -0.0004268050236262482, 0.011685909514592306, 0.19022421108827264, 0.1196037503169128, 0.11094409953131601, 0.378669122066181, 0.0901222721881208, -0.02519135766343826, 0.11384008915859971, -0.251007333188108, -0.019232176881921186, -0.22730558603867754, -0.044753111278017364, -0.14463878720411444, 0.10140997345710324, -0.08943676197052375, -0.13883363790726205, 0.38393015660731505, 0.07451176832572699, 0.25485122457213766, -0.0153642810728015, 0.27296455130999675, 0.12981944905409404, 0.04463353898451739, 0.14913858422539658, 0.3493381955132291, 0.1535318560042494, 0.13662831703419084, -0.18955512438179203, 0.03321881737871524, -0.005374767435798506] |
710.3455 | Study of e+e- annihilation at low energies | The recent results of the CMD-2, SND, KLOE, and BABAR experiments on e+e-
annihilation into hadrons at low energies are reviewed.
| hep-ex | the recent results of the cmd2 snd kloe and babar experiments on ee annihilation into hadrons at low energies are reviewed | [['the', 'recent', 'results', 'of', 'the', 'cmd2', 'snd', 'kloe', 'and', 'babar', 'experiments', 'on', 'ee', 'annihilation', 'into', 'hadrons', 'at', 'low', 'energies', 'are', 'reviewed']] | [0.006781971026655464, 0.22256670717061275, -0.10599486629611679, 0.08148400272641863, -0.0425640773139007, -0.0867666279276212, -0.01523139403157291, 0.3115503371116661, -0.07786718638436425, -0.20096843686631127, -0.08645324870234444, -0.5741794584762483, 0.14997794297302053, 0.27812465000897646, 0.17051699252000876, 0.2164255827221842, 0.2612058977552113, 0.010819488958943458, -0.07749318759444923, -0.25991969981363844, 0.22895049889172828, 0.21301215550019628, 0.31255888300282614, 0.23072504234455882, 0.024679190878357207, 0.017990603022986933, -0.11606184570562272, -0.0839005345035167, -0.17047031802524412, 0.05346837955238741, 0.31252894772305373, 0.11736132885285076, 0.05497011666496595, -0.44757922933924765, -0.014538196536401907, 0.0992271981778599, 0.08654410327740368, -0.008949879556894302, -0.12067635876813992, -0.522026729725656, 0.16679454328758375, -0.18892560176373946, 0.028621128449837368, -0.05563769383089883, -0.02252396196126938, -0.036290292184622513, -0.27466239425398054, 0.006652390085426825, -0.13855122763752228, 0.037372304924896786, -0.09044213479916964, -0.3822610757003228, 0.01578671456358972, -0.08757043958065056, 0.09579041901798475, 0.08625306654721498, 0.22521814766029516, -0.1293903464628827, -0.2197292602310578, 0.2954502884475958, 0.034537518330450566, -0.024536401698631898, 0.23315869129839398, -0.27345824747213293, -0.14715191582217813, 0.19839965268259957, 0.24410403329169467, -0.07818235758514631, -0.22886207030110417, 0.18765773558628834, -0.015714646139669986, 0.0471049499298845, 0.13446385277036046, 0.08433354096043677, 0.1357408499433881, 0.25580778035024804, -0.10296154838232767, 0.0200456514444557, -0.07701373963971578, -0.03888685251807883, -0.430529701922621, -0.04071741205240999, -0.09606040694883891, 0.004587213287041301, 0.034637726777526995, 0.08497520793406736, 0.33402676898099126, -0.03472584184436571, 0.42745300400115194, -0.04088086466349307, 0.37914452737285975, 0.061995896155990306, 0.00043687019275412674, 0.05177217195021166, 0.35426218736739384, 0.10319419169709795, 0.24004411717344606, -0.27864454766469343, -0.04958962845904309, 0.02029048474062057] |
710.3456 | On an extreme two-point distribution | A bound for functional $\Delta(F)=\sup_{x\in\mathbb R}|F(x)-\Phi(x)|$ is
obtained, which is uniform for all distribution functions $F$ of random
variables with zero mean-value and unity variance. Moreover, a two-point
distribution is found, for which this bound is reached.
| math.PR | a bound for functional deltafsup_xinmathbb rfxphix is obtained which is uniform for all distribution functions f of random variables with zero meanvalue and unity variance moreover a twopoint distribution is found for which this bound is reached | [['a', 'bound', 'for', 'functional', 'deltafsup_xinmathbb', 'rfxphix', 'is', 'obtained', 'which', 'is', 'uniform', 'for', 'all', 'distribution', 'functions', 'f', 'of', 'random', 'variables', 'with', 'zero', 'meanvalue', 'and', 'unity', 'variance', 'moreover', 'a', 'twopoint', 'distribution', 'is', 'found', 'for', 'which', 'this', 'bound', 'is', 'reached']] | [-0.16007963908570153, 0.17443561669705168, -0.17835785674729518, 0.08880872611688184, -0.01494466650432774, -0.13382947506116968, 0.04380636985214161, 0.2958590626716614, -0.2181783384510449, -0.25401225559014295, 0.08542950523218938, -0.2601485743054322, -0.0957235153232302, 0.20052336816276822, 0.013925330766609737, 0.08261537364284907, 0.009925476408430509, 0.09368080395673002, -0.06972970359825663, -0.2966639560780355, 0.30385898713554654, 0.01708341773067202, 0.3042937704495021, 0.04369773746335081, 0.09816893788852862, 0.006756730670375483, 0.03791561178596956, 0.023691988683172634, -0.14308457260153123, 0.11580862429525171, 0.20879847364766257, 0.10746748963637011, 0.2912102935569627, -0.26765982329961846, -0.2053849087495889, 0.15610485931060145, 0.15744174024356264, 0.03826726474799216, -0.010534090455621481, -0.19517017286270857, 0.15021430892603738, -0.11158091484435967, -0.18271549620798655, -0.057956114916929174, 0.08663709995203785, 0.07628891276461737, -0.4245350301265717, 0.1452467504622681, 0.06644663186743856, 0.04926385778401579, -0.021690128903303827, -0.2146692213203226, -0.004566084234310048, 0.09555383202220713, 0.016410936282149385, 0.11762482529239995, 0.09487017475600754, -0.1310388747270086, -0.0184094700829259, 0.28739700712197064, -0.08965452419860022, -0.26185719594359397, 0.09113253514681544, -0.20143924642886435, -0.12447717197771584, 0.09523060103612287, 0.073754028656653, 0.1368696284613439, -0.17981316417987858, 0.12039028818419735, -0.079050344721015, 0.15383074358105658, 0.05509355009666511, 0.024806435831955503, 0.12345474657070424, 0.06594175765556949, 0.1728058500215411, 0.17314090185931752, -0.04531044249555894, -0.0907855099067092, -0.3269510614020484, -0.138916557032748, -0.3081429409960817, 0.08180042364900665, -0.1166250173264416, -0.24206247915114676, 0.33757163496421916, 0.05604554220501866, 0.19715227644358363, 0.20025922973374172, 0.2581223246242319, 0.2667676193373544, 0.017340444826654026, 0.09163525176367589, 0.1685802719422749, 0.17311577099774564, -0.022573256226522582, -0.10229734810335296, 0.1223090839838343, 0.06990369938846146] |
710.3457 | Disordered ground states in a quantum frustrated spin chain with side
chains | We study a frustrated mixed spin chain with side chains, where the spin
species and the exchange interactions are spatially varied. A nonlinear sigma
model method is formulated for this model, and a phase diagram with two
disordered spin-gap phases is obtained for typical cases. Among them we examine
the case with a main chain consisting of an alternating array of spin-1 and
spin-1/2 sites and side chains each of a single spin-1/2 site in great detail.
Based on numerical, perturbational, and variational approaches, we propose a
singlet cluster solid picture for each phase, where the ground state is
expressed as a tensor product of local singlet states.
| cond-mat.str-el cond-mat.stat-mech | we study a frustrated mixed spin chain with side chains where the spin species and the exchange interactions are spatially varied a nonlinear sigma model method is formulated for this model and a phase diagram with two disordered spingap phases is obtained for typical cases among them we examine the case with a main chain consisting of an alternating array of spin1 and spin12 sites and side chains each of a single spin12 site in great detail based on numerical perturbational and variational approaches we propose a singlet cluster solid picture for each phase where the ground state is expressed as a tensor product of local singlet states | [['we', 'study', 'a', 'frustrated', 'mixed', 'spin', 'chain', 'with', 'side', 'chains', 'where', 'the', 'spin', 'species', 'and', 'the', 'exchange', 'interactions', 'are', 'spatially', 'varied', 'a', 'nonlinear', 'sigma', 'model', 'method', 'is', 'formulated', 'for', 'this', 'model', 'and', 'a', 'phase', 'diagram', 'with', 'two', 'disordered', 'spingap', 'phases', 'is', 'obtained', 'for', 'typical', 'cases', 'among', 'them', 'we', 'examine', 'the', 'case', 'with', 'a', 'main', 'chain', 'consisting', 'of', 'an', 'alternating', 'array', 'of', 'spin1', 'and', 'spin12', 'sites', 'and', 'side', 'chains', 'each', 'of', 'a', 'single', 'spin12', 'site', 'in', 'great', 'detail', 'based', 'on', 'numerical', 'perturbational', 'and', 'variational', 'approaches', 'we', 'propose', 'a', 'singlet', 'cluster', 'solid', 'picture', 'for', 'each', 'phase', 'where', 'the', 'ground', 'state', 'is', 'expressed', 'as', 'a', 'tensor', 'product', 'of', 'local', 'singlet', 'states']] | [-0.17471109213807653, 0.20251658939688005, 0.009469546211120259, 0.040348747663234395, -0.0121867083599446, -0.20424934205409415, 0.045160063801126346, 0.3864234479627124, -0.24753203649608488, -0.22440650493027298, 0.08389372910864444, -0.30746467816815887, -0.10040208702493045, 0.10886851445926975, 0.10149438361016412, -0.041177551619949994, 0.04667247352793951, 0.06387117931067392, -0.10116793164828171, -0.19679262970263758, 0.29590869117183266, -0.02511544801139583, 0.2748951690650924, 0.02058919290128095, 0.11452472879534105, 0.0764079560542962, 0.10351237482218831, 0.01645282474767858, -0.14511992983278577, 0.10686841373656837, 0.21398056369637036, -0.009478845405047414, 0.1751508265302551, -0.43412655707517706, -0.19435179858960006, 0.11147727929831792, 0.1458089265204897, 0.17321224545163136, -0.03955471218904239, -0.318148293426795, -0.012906176029463057, -0.2234124502499105, -0.12393842250350173, -0.06442401409839038, -0.049479746656423365, 0.014662601068805627, -0.2924665592058941, 0.10685043620200034, 0.018565706108886474, 0.07000866430785714, -0.07211983795881409, -0.15457421952548125, -0.02787590139066904, 0.09368208694892625, 0.009759213930616776, 0.03010405821260065, 0.06771261111889207, -0.11949444392963347, -0.1397206801457624, 0.35629490155864646, -0.06243115792016464, -0.1938712587256709, 0.2043817928599849, -0.10152761922209821, -0.15723292305806857, 0.0733843169140595, 0.1032439173647651, 0.13625995629398083, -0.15856031506943205, 0.05734521568121164, -0.06551271420903504, 0.20392036328471644, -0.04879593437416824, 0.013259205863707595, 0.25169050193357245, 0.2213831439924737, 0.0611026200640481, 0.2526446489306788, -0.09918578339474388, -0.2046682808496472, -0.2553565830867565, -0.1929881409073628, -0.1881427633645082, 0.008926831920958918, -0.069991456102596, -0.1845105480040527, 0.4257550269572271, 0.06849886410272019, 0.17745336423750915, -0.02687055032907261, 0.24765944706827955, 0.08317733430023375, -0.00860012566705269, 0.01529258958396019, 0.14815113520146245, 0.18828651446555913, 0.03969869218094067, -0.21418721014331957, 0.026419382186658267, 0.08199311552043245] |
710.3458 | Bayesian variable selection for high dimensional generalized linear
models: convergence rates of the fitted densities | Bayesian variable selection has gained much empirical success recently in a
variety of applications when the number $K$ of explanatory variables
$(x_1,...,x_K)$ is possibly much larger than the sample size $n$. For
generalized linear models, if most of the $x_j$'s have very small effects on
the response $y$, we show that it is possible to use Bayesian variable
selection to reduce overfitting caused by the curse of dimensionality $K\gg n$.
In this approach a suitable prior can be used to choose a few out of the many
$x_j$'s to model $y$, so that the posterior will propose probability densities
$p$ that are ``often close'' to the true density $p^*$ in some sense. The
closeness can be described by a Hellinger distance between $p$ and $p^*$ that
scales at a power very close to $n^{-1/2}$, which is the ``finite-dimensional
rate'' corresponding to a low-dimensional situation. These findings extend some
recent work of Jiang [Technical Report 05-02 (2005) Dept. Statistics,
Northwestern Univ.] on consistency of Bayesian variable selection for binary
classification.
| math.ST stat.TH | bayesian variable selection has gained much empirical success recently in a variety of applications when the number k of explanatory variables x_1x_k is possibly much larger than the sample size n for generalized linear models if most of the x_js have very small effects on the response y we show that it is possible to use bayesian variable selection to reduce overfitting caused by the curse of dimensionality kgg n in this approach a suitable prior can be used to choose a few out of the many x_js to model y so that the posterior will propose probability densities p that are often close to the true density p in some sense the closeness can be described by a hellinger distance between p and p that scales at a power very close to n12 which is the finitedimensional rate corresponding to a lowdimensional situation these findings extend some recent work of jiang technical report 0502 2005 dept statistics northwestern univ on consistency of bayesian variable selection for binary classification | [['bayesian', 'variable', 'selection', 'has', 'gained', 'much', 'empirical', 'success', 'recently', 'in', 'a', 'variety', 'of', 'applications', 'when', 'the', 'number', 'k', 'of', 'explanatory', 'variables', 'x_1x_k', 'is', 'possibly', 'much', 'larger', 'than', 'the', 'sample', 'size', 'n', 'for', 'generalized', 'linear', 'models', 'if', 'most', 'of', 'the', 'x_js', 'have', 'very', 'small', 'effects', 'on', 'the', 'response', 'y', 'we', 'show', 'that', 'it', 'is', 'possible', 'to', 'use', 'bayesian', 'variable', 'selection', 'to', 'reduce', 'overfitting', 'caused', 'by', 'the', 'curse', 'of', 'dimensionality', 'kgg', 'n', 'in', 'this', 'approach', 'a', 'suitable', 'prior', 'can', 'be', 'used', 'to', 'choose', 'a', 'few', 'out', 'of', 'the', 'many', 'x_js', 'to', 'model', 'y', 'so', 'that', 'the', 'posterior', 'will', 'propose', 'probability', 'densities', 'p', 'that', 'are', 'often', 'close', 'to', 'the', 'true', 'density', 'p', 'in', 'some', 'sense', 'the', 'closeness', 'can', 'be', 'described', 'by', 'a', 'hellinger', 'distance', 'between', 'p', 'and', 'p', 'that', 'scales', 'at', 'a', 'power', 'very', 'close', 'to', 'n12', 'which', 'is', 'the', 'finitedimensional', 'rate', 'corresponding', 'to', 'a', 'lowdimensional', 'situation', 'these', 'findings', 'extend', 'some', 'recent', 'work', 'of', 'jiang', 'technical', 'report', '0502', '2005', 'dept', 'statistics', 'northwestern', 'univ', 'on', 'consistency', 'of', 'bayesian', 'variable', 'selection', 'for', 'binary', 'classification']] | [-0.07499572716256571, 0.09039795213205376, -0.09781930372174058, 0.07903022140942338, -0.10362895546734509, -0.15979635280408186, 0.08982297446931431, 0.36470812066188135, -0.2787706170833157, -0.3088383788722374, 0.07817531481575353, -0.25285456118521077, -0.12225909425584963, 0.17791336379013956, -0.1189920263442062, 0.06351571037508437, 0.04307098066042998, 0.048359525373437, -0.05698885596198851, -0.3152915216078596, 0.27155414036717596, 0.0743752857856177, 0.2734112517919237, -0.036377866937056975, 0.055277994060999106, 0.010781838445643172, -0.021788432152622196, 0.04015066623260658, -0.12174225041519482, 0.11524998835569038, 0.2940100000797919, 0.13809965838562455, 0.3630321420530772, -0.33483589465774494, -0.23988500875613747, 0.14576042823757998, 0.12479225497488924, 0.06353676241902446, 0.01220555969558039, -0.23646868211451433, 0.10101709221820375, -0.16088134121785586, -0.1050943237641198, -0.09048893171522392, 0.091342371651495, 0.009322773932807213, -0.3058930720538783, 0.0755097823680417, 0.0716484572969862, 0.027864700960292973, 0.023078890248703268, -0.19417234072351508, -0.015545342417885742, 0.05643906839658264, 0.06251539645465808, 0.06760778003262036, 0.09133421841281406, -0.1009122435480202, -0.07310669887301198, 0.32562429249595254, -0.020498067267757797, -0.20957304519937325, 0.2012238734616683, -0.15061394194796815, -0.17545281975604485, 0.1316399142234283, 0.1897665410489946, 0.12119191328405275, -0.11857181923788043, 0.09038088817846687, -0.05807059847738748, 0.16736306709419252, 0.06286367726410304, 0.016946604392717224, 0.1658964403898086, 0.14677563733862128, 0.06650954695003791, 0.08990737604743322, -0.11798390478348482, -0.05938565930297885, -0.28065147119734063, -0.09822229914830105, -0.21898499908774385, 0.07895643567699476, -0.11717332064402469, -0.12164970709097721, 0.30766298800442343, 0.1736036153791263, 0.25408566780057706, 0.06694366104663874, 0.22838827524301128, 0.10703385090069657, 0.03423753856821123, 0.07743801655435174, 0.20148949723411075, 0.13073916907681252, 0.04407768913671462, -0.16899430376378347, 0.12003532166182224, 0.03434196244732383] |
710.3459 | Bounded step functions and factorial ratio sequences | We study certain step functions whose nonnegativity is related to the
integrality of sequences of ratios of factorial products. In particular, we
obtain a lower bound for the mean square of such step functions which allows us
to give a restriction on when such a factorial ratio sequence can be integral.
Additionally, we note that this work has applications to the classification of
cyclic quotient singularities.
| math.NT | we study certain step functions whose nonnegativity is related to the integrality of sequences of ratios of factorial products in particular we obtain a lower bound for the mean square of such step functions which allows us to give a restriction on when such a factorial ratio sequence can be integral additionally we note that this work has applications to the classification of cyclic quotient singularities | [['we', 'study', 'certain', 'step', 'functions', 'whose', 'nonnegativity', 'is', 'related', 'to', 'the', 'integrality', 'of', 'sequences', 'of', 'ratios', 'of', 'factorial', 'products', 'in', 'particular', 'we', 'obtain', 'a', 'lower', 'bound', 'for', 'the', 'mean', 'square', 'of', 'such', 'step', 'functions', 'which', 'allows', 'us', 'to', 'give', 'a', 'restriction', 'on', 'when', 'such', 'a', 'factorial', 'ratio', 'sequence', 'can', 'be', 'integral', 'additionally', 'we', 'note', 'that', 'this', 'work', 'has', 'applications', 'to', 'the', 'classification', 'of', 'cyclic', 'quotient', 'singularities']] | [-0.1226562939894696, 0.048019532142489246, -0.1250817324740417, 0.0725356824131626, -0.08815856478318121, -0.08420888096037688, 0.03609721809555071, 0.3577793227565108, -0.3104043741160157, -0.2674633373478145, 0.14235995990527567, -0.2117815839559295, -0.18532119850825632, 0.2107693221645825, -0.11606257281858813, 0.06247829080905032, 0.05116552304808107, 0.06347092883096951, -0.12534950278826396, -0.3118966741656715, 0.35665143904925295, 0.022124387013415497, 0.22456138308696222, 0.09986316174388665, 0.10194939856107037, 0.004199551503089341, 0.0019450136037035422, -0.009819720730637058, -0.19524759326933153, 0.1516840661537241, 0.25096773184045695, 0.11062456459286764, 0.24831539707851003, -0.37371133451321814, -0.10666787912928019, 0.23170397300837617, 0.16878393631795366, 0.08696297834676718, 0.0021472180061126974, -0.17154302758475146, 0.1366484587532327, -0.15913253949750497, -0.12361307008982156, -0.08816937354365081, 0.01036191927833539, 0.06709129396811918, -0.3128747396791975, 0.038141190307214856, 0.11548506753575621, 0.04626600617881526, -0.03734043831884099, -0.14069419091031182, 0.04718314967767307, 0.12630916723962096, 0.05035061181424129, 0.030616266938688404, 0.061270404353060505, -0.10545530827419664, -0.10394335449249907, 0.34014168923551386, -0.06164963158891734, -0.23937615278092297, 0.14871178268257415, -0.15661391659611554, -0.194229473116469, 0.09565910387953575, 0.18639188394599565, 0.15961487587738896, -0.0653689735206144, 0.07460535510979367, -0.09986954824434537, 0.12828135804386076, 0.11713893605734814, 0.06462335480010194, 0.14402204939643992, 0.10479528902126758, 0.1300099932264085, 0.21542957662005033, -0.060428019701221, -0.038745579923587764, -0.3238866647253885, -0.2249388050854164, -0.16146464240701983, 0.1196499070237306, -0.10481017748260814, -0.21072414644401183, 0.41218766863598966, 0.08123566195453433, 0.20850371112200347, 0.1380732394278642, 0.23110016898223848, 0.1847258598056876, 0.08417005407461671, -0.023228761676529593, 0.1307747649649779, 0.15097331388317276, -0.0008623701111046654, -0.1548010550058362, 0.05924689341477598, 0.14761879633773456] |
710.346 | Boundary $C^*$-algebras for acylindrical groups | Let $\Delta$ be an infinite, locally finite tree with more than two ends. Let
$\Gamma<\aut(\Delta)$ be an acylindrical uniform lattice. Then the boundary
algebra $\cl A_\Gamma = C(\partial\Delta)\rtimes \Gamma$ is a simple
Cuntz-Krieger algebra whose K-theory is determined explicitly.
| math.OA math.GR | let delta be an infinite locally finite tree with more than two ends let gammaautdelta be an acylindrical uniform lattice then the boundary algebra cl a_gamma cpartialdeltartimes gamma is a simple cuntzkrieger algebra whose ktheory is determined explicitly | [['let', 'delta', 'be', 'an', 'infinite', 'locally', 'finite', 'tree', 'with', 'more', 'than', 'two', 'ends', 'let', 'gammaautdelta', 'be', 'an', 'acylindrical', 'uniform', 'lattice', 'then', 'the', 'boundary', 'algebra', 'cl', 'a_gamma', 'cpartialdeltartimes', 'gamma', 'is', 'a', 'simple', 'cuntzkrieger', 'algebra', 'whose', 'ktheory', 'is', 'determined', 'explicitly']] | [-0.1778122410533898, 0.2835579387036786, -0.11059833695698115, 0.01453568396391347, -0.1887002423302167, -0.22649990181283405, -0.03958833891859589, 0.39161122631695533, -0.40341992903914714, -0.11981444930683614, 0.1306143596044017, -0.2575908498596012, -0.00830410596811109, 0.1852470313768006, -0.12547512484403947, -0.1610592947108671, 0.07819827025135358, 0.19284897818902713, -0.09487987605583233, -0.24122678260836336, 0.3320003666449338, -0.003167612180631194, 0.17752424591324395, 0.061590578148348465, 0.063899826458914, -0.010561711410345096, 0.0422576303826645, 0.0413833376692815, -0.20001406954704887, 0.05334484629889226, 0.29960383094536763, -0.003720792670113345, 0.18030261626053187, -0.36680586511890095, -0.0828803042984671, 0.2974226974147314, 0.2030210442090821, -0.07527200047237177, 0.013774121921920192, -0.3097244916069839, 0.18385247417932582, -0.22748359106481075, -0.13898378626133004, -0.006783301243558526, 0.08823248363720874, -0.13475342332902882, -0.29600909039274687, -0.039697843215738736, 0.03679843469419413, 0.18056529687924516, -0.05557364222800566, -0.10615957047169407, -0.17085589716831842, 0.044265617965720594, -0.14681630249186936, 0.12428293626160464, 0.06691645184117886, 0.03709430547638072, -0.1755760560578589, 0.3855265997764137, -0.05283198127492344, -0.29451460690324893, 0.06561229962648617, -0.1995094049618476, -0.11810393841005862, 0.13901931319075325, 0.003817227803261226, 0.15994181468461952, -0.1307731805783179, 0.27867625689961845, -0.1213615335646965, 0.12231949152192101, 0.06424729169035952, -0.09475688471057866, 0.14075675451507172, 0.11196152361420293, 0.1741933069166003, 0.13585582224833262, 0.12634623636000064, 0.043174356454983354, -0.36488319084876114, -0.10228094606039424, -0.1320419683987792, 0.20107437716796994, -0.232421082082308, -0.25625802848177653, 0.32564250202590805, -0.006034516121467782, 0.20420073572960165, 0.14090392036855015, 0.19600206918807495, 0.1813542349781427, 0.00025447774937169417, 0.12124907665161623, -0.007779921624912984, 0.2914151630571319, -0.16373506361722118, -0.14442042301460686, -0.03566188207413587, 0.27445835395095247] |
710.3461 | The Frequency of Large Radius Hot and Very Hot Jupiters in omega
Centauri | We present the results of a deep, wide-field search for transiting `Hot
Jupiter (HJ)' planets in the globular cluster omega Centauri. As a result of a
25-night observing run with the ANU 40-inch telescope at Siding Spring
Observatory, a total of 109,726 stellar time series composed of 787 independent
data points were produced with differential photometry in a 52x52' (0.75 deg^2)
field centered on the cluster core, but extending well beyond. Taking into
account the size of transit signals as a function of stellar radius, 45,406
stars have suitable photometric accuracy (<=0.045 mag to V=19.5) to search for
transits. Of this sample, 31,000 stars are expected to be main sequence cluster
members. All stars, both cluster and foreground, were subjected to a rigorous
search for transit signatures; none were found. Extensive Monte Carlo
simulations based on our actual data set allows us to determine the sensitivity
of our survey to planets with radii ~1.5R_Jup, and thus place statistical upper
limits on their occurrence frequency 'F'. Smaller planets are undetectable in
our data. At 95% confidence, the frequency of Very Hot Jupiters (VHJs) with
periods P satisfying 1d<P<3d can be no more than F_VHJ < 1/1040 in omega Cen.
For HJ and VHJ distributed uniformly over the orbital period range 1d<P<5d,
F_VHJ+HJ < 1/600. Our limits on large, short-period planets are comparable to
those recently reported for other Galactic fields, despite being derived with
less telescope time.
| astro-ph | we present the results of a deep widefield search for transiting hot jupiter hj planets in the globular cluster omega centauri as a result of a 25night observing run with the anu 40inch telescope at siding spring observatory a total of 109726 stellar time series composed of 787 independent data points were produced with differential photometry in a 52x52 075 deg2 field centered on the cluster core but extending well beyond taking into account the size of transit signals as a function of stellar radius 45406 stars have suitable photometric accuracy 0045 mag to v195 to search for transits of this sample 31000 stars are expected to be main sequence cluster members all stars both cluster and foreground were subjected to a rigorous search for transit signatures none were found extensive monte carlo simulations based on our actual data set allows us to determine the sensitivity of our survey to planets with radii 15r_jup and thus place statistical upper limits on their occurrence frequency f smaller planets are undetectable in our data at 95 confidence the frequency of very hot jupiters vhjs with periods p satisfying 1dp3d can be no more than f_vhj 11040 in omega cen for hj and vhj distributed uniformly over the orbital period range 1dp5d f_vhjhj 1600 our limits on large shortperiod planets are comparable to those recently reported for other galactic fields despite being derived with less telescope time | [['we', 'present', 'the', 'results', 'of', 'a', 'deep', 'widefield', 'search', 'for', 'transiting', 'hot', 'jupiter', 'hj', 'planets', 'in', 'the', 'globular', 'cluster', 'omega', 'centauri', 'as', 'a', 'result', 'of', 'a', '25night', 'observing', 'run', 'with', 'the', 'anu', '40inch', 'telescope', 'at', 'siding', 'spring', 'observatory', 'a', 'total', 'of', '109726', 'stellar', 'time', 'series', 'composed', 'of', '787', 'independent', 'data', 'points', 'were', 'produced', 'with', 'differential', 'photometry', 'in', 'a', '52x52', '075', 'deg2', 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710.3462 | Light hadron spectrum with 2+1 flavor dynamical $O(a)$-improved Wilson
quarks | We present preliminary results for the light harden spectrum in $N_f=2+1$
lattice QCD obtained with the nonperturbatively $O(a)$-improved Wilson quark
action and the Iwasaki gauge action. Simulations are carried out at
$\beta=1.90$ on a $32^3 \times 64$ lattice using the PACS-CS computer. We
employ L\"uscher's domain-decomposed HMC algorithm to reduce the up-down quark
masses toward the physical value. The pseudoscalar meson masses range from 730
MeV down to 210 MeV. We compare the light harden spectrum extrapolated to the
physical point with the experimental values.
| hep-lat | we present preliminary results for the light harden spectrum in n_f21 lattice qcd obtained with the nonperturbatively oaimproved wilson quark action and the iwasaki gauge action simulations are carried out at beta190 on a 323 times 64 lattice using the pacscs computer we employ luschers domaindecomposed hmc algorithm to reduce the updown quark masses toward the physical value the pseudoscalar meson masses range from 730 mev down to 210 mev we compare the light harden spectrum extrapolated to the physical point with the experimental values | [['we', 'present', 'preliminary', 'results', 'for', 'the', 'light', 'harden', 'spectrum', 'in', 'n_f21', 'lattice', 'qcd', 'obtained', 'with', 'the', 'nonperturbatively', 'oaimproved', 'wilson', 'quark', 'action', 'and', 'the', 'iwasaki', 'gauge', 'action', 'simulations', 'are', 'carried', 'out', 'at', 'beta190', 'on', 'a', '323', 'times', '64', 'lattice', 'using', 'the', 'pacscs', 'computer', 'we', 'employ', 'luschers', 'domaindecomposed', 'hmc', 'algorithm', 'to', 'reduce', 'the', 'updown', 'quark', 'masses', 'toward', 'the', 'physical', 'value', 'the', 'pseudoscalar', 'meson', 'masses', 'range', 'from', '730', 'mev', 'down', 'to', '210', 'mev', 'we', 'compare', 'the', 'light', 'harden', 'spectrum', 'extrapolated', 'to', 'the', 'physical', 'point', 'with', 'the', 'experimental', 'values']] | [-0.04814948772989391, 0.29306779067320304, -0.10455697192256116, 0.05220311795849176, -0.028846587107788462, -0.07511839873179615, 0.17570428954648032, 0.46005938441625666, -0.11113625025332328, -0.29898009009637116, 0.059457049443153664, -0.3230860161794616, 0.036700393161958174, 0.14592759705348207, 0.08084514070790083, 0.12275985503514503, 0.10344074948807247, -0.009441518191514271, -0.14296073582954705, -0.21816297026262396, 0.26675232295833884, 0.04266098151648683, 0.22668771414152747, 0.16522184224976671, 0.02675784595443734, -0.011896212818101048, -0.05112981886070754, -0.13244378652113178, -0.10283484615779127, 0.01843857488018416, 0.11509074993747552, -0.029738328369733478, 0.09322960389337302, -0.32854883652180433, -0.1662158277745004, 0.07065879363965775, 0.12377660992067485, 0.12151436720575605, 0.008596873779814425, -0.31731170670883285, 0.13722069973092793, -0.18973328277657164, -0.1985918171440495, -0.11589475248807243, -0.08324553676703501, -0.08024995348283223, -0.30013578652315553, 0.015433455623375872, -0.1976668562828785, 0.10830202743056275, -0.024934922317264692, -0.30968180782206, -0.01603254324956132, 0.08210978818464182, 0.08450255108376344, 0.16447211203852757, 0.2039156891128403, -0.10336893759778745, -0.1339002273799408, 0.49352749984800104, -0.07489307959968712, -0.13345993474303258, 0.12465441993360098, -0.12172366514624584, -0.1556060520871099, 0.1456189928537372, 0.18944050276851548, 0.07603680828054037, -0.15730288935204348, 0.08151467445436754, -0.06844616521404878, 0.24789369143053636, 0.09130986671828266, -0.03239747299812734, 0.2476817776914686, 0.13681426803980554, -0.06963515097630166, 0.09217504153881843, -0.0645943329686166, -0.16387211672207785, -0.30325421586721424, 0.01310560590631905, -0.13424898427911103, 0.13266383225674785, -0.15046042941737273, -0.05964323267385009, 0.3915617810118766, 0.23796700876915738, 0.19933513109017872, 0.08428235298820905, 0.2641047163910809, 0.06560458898145173, 0.11608722884972979, 0.11274725658863428, 0.2452772820501455, 0.17920931700306633, 0.18674020299554936, -0.36466523619934116, -0.26324699768086984, 0.1486029664603328] |
710.3463 | Supersolid phases in the extended boson hubbard model | We present a comprehensive numerical study on the ground state phase diagram
of the two-dimensional hardcore boson extended Hubbard model with nearest
($V_1$) and next nearest neighbor ($V_2$) repulsions. In addition to the
quantum solid and superfluid phases, we report the existence of striped
supersolid and three-quarter (quarter) filled supersolid at commensurate
density $\rho=0.75$ (0.25) due to the interplay of $V_1$ and $V_2$
interactions. The nature of three-quarter filled supersolid and the associated
quantum solid will be discussed. Quantum phase transition between the two
supersolids of different symmetries is observed and is clearly of first order.
| cond-mat.str-el | we present a comprehensive numerical study on the ground state phase diagram of the twodimensional hardcore boson extended hubbard model with nearest v_1 and next nearest neighbor v_2 repulsions in addition to the quantum solid and superfluid phases we report the existence of striped supersolid and threequarter quarter filled supersolid at commensurate density rho075 025 due to the interplay of v_1 and v_2 interactions the nature of threequarter filled supersolid and the associated quantum solid will be discussed quantum phase transition between the two supersolids of different symmetries is observed and is clearly of first order | [['we', 'present', 'a', 'comprehensive', 'numerical', 'study', 'on', 'the', 'ground', 'state', 'phase', 'diagram', 'of', 'the', 'twodimensional', 'hardcore', 'boson', 'extended', 'hubbard', 'model', 'with', 'nearest', 'v_1', 'and', 'next', 'nearest', 'neighbor', 'v_2', 'repulsions', 'in', 'addition', 'to', 'the', 'quantum', 'solid', 'and', 'superfluid', 'phases', 'we', 'report', 'the', 'existence', 'of', 'striped', 'supersolid', 'and', 'threequarter', 'quarter', 'filled', 'supersolid', 'at', 'commensurate', 'density', 'rho075', '025', 'due', 'to', 'the', 'interplay', 'of', 'v_1', 'and', 'v_2', 'interactions', 'the', 'nature', 'of', 'threequarter', 'filled', 'supersolid', 'and', 'the', 'associated', 'quantum', 'solid', 'will', 'be', 'discussed', 'quantum', 'phase', 'transition', 'between', 'the', 'two', 'supersolids', 'of', 'different', 'symmetries', 'is', 'observed', 'and', 'is', 'clearly', 'of', 'first', 'order']] | [-0.19584494567427196, 0.30167327663174975, -0.04623349863655963, 0.04727541684957319, -0.015183665564185695, -0.15162355628746904, 0.07815733911763681, 0.37774340606441625, -0.25727793283172345, -0.21125100143253803, 0.019577136286534368, -0.37605886591696425, -0.10305006772671875, 0.051256297609621755, 0.11310809722023182, 0.016814736629787243, -0.006350229437904138, -0.014470023740279047, -0.12912387985147927, -0.23888073346246722, 0.2890852866988433, -0.059855599871738566, 0.24111441537541778, 0.0946741047192757, 0.04313943687532293, -0.00034402388785230486, 0.08875994111264222, 0.02275995345492112, -0.2397383377152054, 0.030240319164371803, 0.2117627006612326, -0.10208969019647492, 0.1625161953662571, -0.4111690500457036, -0.14528506604072294, 0.11109448404443499, 0.1530507264818114, 0.1224167948294627, -0.05645660143774493, -0.3423150721545282, 0.008125692164819492, -0.24041726048055448, -0.14883232817151829, -0.09944638034426852, 0.005894749376334642, 0.015952874374526894, -0.1867852729132497, 0.1598755690710325, 0.045246899846058924, 0.054050160672417594, -0.08660771677907753, -0.1272218347331019, -0.0798167943317247, 0.0666469004421838, -0.009288901093072796, 0.10121824306828019, 0.02640958145064743, -0.14836358570395725, -0.1493329673123203, 0.4501443556264827, -0.014541847715889546, -0.07882496178346245, 0.2229071927894103, -0.18425907758079885, -0.0820534297902333, 0.1639073665204801, 0.14301728857190985, -0.005126816916622614, -0.053778101582276194, 0.03669986171084211, -0.03295937853644749, 0.21091320667611926, -0.01639130949777992, 0.03986841691657901, 0.2810295972703515, 0.21494317800786936, 0.041623058964155225, 0.19967889253319682, -0.14219690748355596, -0.19593382238557464, -0.29884604858724695, -0.16028609137957622, -0.22916133419463508, -0.024912561319376293, -0.08956698526070747, -0.1433808456714216, 0.4101692544394418, 0.12174835352496685, 0.18284211886286933, -0.0782955137718665, 0.2245107019712266, 0.05389366107992828, -0.05455500486453897, 0.002047887433467335, 0.2663109874156745, 0.16891294674163587, 0.09912525579627407, -0.27193912715700114, 0.01141560882189017, 0.12566714118185796] |
710.3464 | Mathematical remarks on transcritical bifurcation in Hamiltonian systems | This article is meant as a mathematical appendix or comment on [BT]. We first
consider the notion of transcritical bifurcations of fixed points of general
area-preserving maps, and then adress some questions related to [BT] on
bifurcation in Poincar\'e maps of 2-dimensional Hamiltonian systems.
[BT] M. Brack and K. Tanaka, arXiv:0705.0753
| math.SG math.DS nlin.CD | this article is meant as a mathematical appendix or comment on bt we first consider the notion of transcritical bifurcations of fixed points of general areapreserving maps and then adress some questions related to bt on bifurcation in poincare maps of 2dimensional hamiltonian systems bt m brack and k tanaka arxiv07050753 | [['this', 'article', 'is', 'meant', 'as', 'a', 'mathematical', 'appendix', 'or', 'comment', 'on', 'bt', 'we', 'first', 'consider', 'the', 'notion', 'of', 'transcritical', 'bifurcations', 'of', 'fixed', 'points', 'of', 'general', 'areapreserving', 'maps', 'and', 'then', 'adress', 'some', 'questions', 'related', 'to', 'bt', 'on', 'bifurcation', 'in', 'poincare', 'maps', 'of', '2dimensional', 'hamiltonian', 'systems', 'bt', 'm', 'brack', 'and', 'k', 'tanaka', 'arxiv07050753']] | [-0.2058272512629628, 0.05811725366860628, -0.06601039597706404, 0.07525218775495887, -0.08582483075093478, -0.1772787334304303, 0.07611632317304612, 0.24927947336807846, -0.26872656950727103, -0.19000444564968347, 0.1442860517068766, -0.2815384075697511, -0.2533317711064592, 0.16477481096051633, -0.1518918607197702, 0.07017849971540273, -0.011621034741401672, 0.03322682473808527, -0.09842939533293248, -0.24181395701132716, 0.3923770440230146, -0.009590471293777228, 0.14612041909247636, 0.00468052739277482, 0.11292660085484385, -0.016292682895436884, -0.05955209655687213, 0.002408840861171484, -0.2811832361482084, 0.043610674161463976, 0.23536930461414157, 0.07124729748582467, 0.22871070433408022, -0.3303876310959458, -0.14924053531140088, 0.11309872329235077, 0.1567639390937984, 0.045376631021499636, 0.01684760429430753, -0.2951382439024746, 0.08914346330333502, -0.08822206059470773, -0.1544841182231903, -0.06772976746782661, 0.09301993156783282, 0.04912640216294676, -0.1980341912806034, 0.025843949420377613, 0.17197684831917287, 0.17867290711030365, -0.05340995674952865, -0.0657453373610042, -0.1091031550290063, 0.04128492166521028, -0.0002590614347718656, 0.07978822524659336, 0.13228812436573206, -0.029301910023204984, -0.1245604591537267, 0.3938569518178701, -0.047075992133468386, -0.2282746843760833, 0.2118605573102832, -0.12721366343088447, -0.23721705533564091, 0.05395198341459036, 0.1676896389760077, 0.1151656249910593, -0.11229909656569362, 0.18145854526897892, -0.07952634539455175, 0.07465470768511295, 0.13120264848694205, -0.0790787153725978, 0.13455368539318444, 0.110251823682338, 0.11604170987382531, 0.1432159358076751, 0.010722680203616618, -0.10732894884422421, -0.3518882650882006, -0.18118858618661762, -0.08607720218598842, 0.1218108489178121, -0.05978065801726189, -0.15443533515557648, 0.3884187915176153, 0.12320013646036386, 0.23960429541766642, 0.07349939153995365, 0.1950191381946206, 0.09896590392803774, -0.06574636552482843, 0.05264728571288288, 0.1230328227794962, 0.1881106659024954, 0.13250532746315002, -0.12983761839568614, -0.09923749970272183, 0.21255400894209742] |
710.3465 | Critical Behavior of Disordered Systems with a Free Surface | The behavior of homogeneous and disordered systems with a free boundary is
described on the basis of group theory in the two-loop approximation directly
in three-dimensional space. The effect of the free boundary on the regime of
the bulk critical behavior is revealed. It is shown that the boundedness of the
system slightly affects the regime of the bulk critical behavior in the case of
the ordinary transition, whereas this effect is more noticeable in the case of
the special transition. Surface critical phenomena are described for
homogeneous and disordered systems, and the critical exponents are calculated
in the two-loop approximation. It is shown that the effect of impurities is
insignificant in the special phase transition, whereas it is more noticeable in
the ordinary phase transition. The derived critical exponents are compared with
the computer-simulation results.
| cond-mat.stat-mech cond-mat.dis-nn | the behavior of homogeneous and disordered systems with a free boundary is described on the basis of group theory in the twoloop approximation directly in threedimensional space the effect of the free boundary on the regime of the bulk critical behavior is revealed it is shown that the boundedness of the system slightly affects the regime of the bulk critical behavior in the case of the ordinary transition whereas this effect is more noticeable in the case of the special transition surface critical phenomena are described for homogeneous and disordered systems and the critical exponents are calculated in the twoloop approximation it is shown that the effect of impurities is insignificant in the special phase transition whereas it is more noticeable in the ordinary phase transition the derived critical exponents are compared with the computersimulation results | [['the', 'behavior', 'of', 'homogeneous', 'and', 'disordered', 'systems', 'with', 'a', 'free', 'boundary', 'is', 'described', 'on', 'the', 'basis', 'of', 'group', 'theory', 'in', 'the', 'twoloop', 'approximation', 'directly', 'in', 'threedimensional', 'space', 'the', 'effect', 'of', 'the', 'free', 'boundary', 'on', 'the', 'regime', 'of', 'the', 'bulk', 'critical', 'behavior', 'is', 'revealed', 'it', 'is', 'shown', 'that', 'the', 'boundedness', 'of', 'the', 'system', 'slightly', 'affects', 'the', 'regime', 'of', 'the', 'bulk', 'critical', 'behavior', 'in', 'the', 'case', 'of', 'the', 'ordinary', 'transition', 'whereas', 'this', 'effect', 'is', 'more', 'noticeable', 'in', 'the', 'case', 'of', 'the', 'special', 'transition', 'surface', 'critical', 'phenomena', 'are', 'described', 'for', 'homogeneous', 'and', 'disordered', 'systems', 'and', 'the', 'critical', 'exponents', 'are', 'calculated', 'in', 'the', 'twoloop', 'approximation', 'it', 'is', 'shown', 'that', 'the', 'effect', 'of', 'impurities', 'is', 'insignificant', 'in', 'the', 'special', 'phase', 'transition', 'whereas', 'it', 'is', 'more', 'noticeable', 'in', 'the', 'ordinary', 'phase', 'transition', 'the', 'derived', 'critical', 'exponents', 'are', 'compared', 'with', 'the', 'computersimulation', 'results']] | [-0.16384556069148376, 0.19006758170572163, -0.08853015426190242, 0.05003260346369215, 0.006344082710497519, -0.11152791220571517, 0.020654887244317625, 0.3014164295763133, -0.23213266962043502, -0.2421548399142921, 0.0898221480935771, -0.33513376387589444, -0.19637429970658987, 0.2019830189528875, 0.01971984825863996, 0.05247058945721673, -0.018410283741746646, 0.08057376759996474, -0.11139374055475106, -0.21747873313998914, 0.37593292365850445, 0.02976994773181265, 0.32599209040841637, 0.06260732307804145, -3.4780121709713165e-05, -0.025233944010003197, 0.046352708410909944, 0.053218120246610316, -0.13322458087232542, 0.02631816189386882, 0.21326640012728817, -0.037636835271876085, 0.18738571310635, -0.3778446375474553, -0.24376405353027888, 0.07909272548139971, 0.14715354109306217, 0.10071339152808137, -0.0248798189801592, -0.26378094312488376, 0.05814426691572675, -0.11776657058405415, -0.15944568449905253, -0.026263283031499562, 0.014052496278001106, -0.010766643126022673, -0.24205293073592818, 0.11216078824466369, 0.06325347086085993, 0.060659118174739624, -0.0954795700723908, -0.0885310807660811, -0.05369741392410908, 0.1403163410825929, 0.048130923514048955, 0.025215001677519038, 0.1156456121654414, -0.1693843014534864, -0.03593556326300399, 0.43794884436818604, -0.0453275112034616, -0.1715061307528659, 0.18097119954216076, -0.23910916522008313, -0.08649594207321677, 0.17528732349199025, 0.1115530337624745, 0.13441203693304593, -0.09631032205652446, 0.10834503366822901, 0.0006183472835212288, 0.13021968369995354, -0.010439067534581922, 0.002714755403918817, 0.14084310520325638, 0.19082987526952125, 0.04496948199812323, 0.1715237603005816, -0.04008512407103006, -0.15886253085644805, -0.3035350155414027, -0.14413056038457023, -0.18257779201410493, 0.0073122310876736745, -0.10362963605235992, -0.2136994868492098, 0.35420599054914953, 0.14722094591022195, 0.163985676570412, 0.0023436342838549, 0.24186964509734774, 0.20542388086837224, 0.04621433556381175, 0.04427077422973097, 0.3114115885075401, 0.12744043236392932, 0.10542350084356525, -0.25037020356873707, 0.0972902464461239, 0.07905328772989485] |
710.3466 | Bifurcation of straight-line librations | We study a class of 2-dimensional Hamiltonian systems
$H(x,y,p_x,p_y)=\frac12(p_x^2+p_y^2) +V(x,y)$ in which the plane $x$=$p_x$=0 is
invariant under the Hamiltonian flow, so that straight-line librations along
the y axis exist, and we also consider perturbations $\delta H=\delta\cdot
F(x,y,p_x,p_y)$ that preserve these librations. We describe a procedure for the
analytical calculation of partial derivatives of the Poincar\'e map. These
partial derivatives can be used to predict the bifurcation behavior of the
libration, in particular to distinguish between transcritical and fork-like
bifurcations, as was mathematically investigated in [1] and numerically studied
in [2].
[1] K. J\"anich, arXiv.org/abs/0710.3464 [2] M. Brack and K. Tanaka,
arXiv:0705.0753
| math.SG math.DS nlin.CD | we study a class of 2dimensional hamiltonian systems hxyp_xp_yfrac12p_x2p_y2 vxy in which the plane xp_x0 is invariant under the hamiltonian flow so that straightline librations along the y axis exist and we also consider perturbations delta hdeltacdot fxyp_xp_y that preserve these librations we describe a procedure for the analytical calculation of partial derivatives of the poincare map these partial derivatives can be used to predict the bifurcation behavior of the libration in particular to distinguish between transcritical and forklike bifurcations as was mathematically investigated in 1 and numerically studied in 2 1 k janich arxivorgabs07103464 2 m brack and k tanaka arxiv07050753 | [['we', 'study', 'a', 'class', 'of', '2dimensional', 'hamiltonian', 'systems', 'hxyp_xp_yfrac12p_x2p_y2', 'vxy', 'in', 'which', 'the', 'plane', 'xp_x0', 'is', 'invariant', 'under', 'the', 'hamiltonian', 'flow', 'so', 'that', 'straightline', 'librations', 'along', 'the', 'y', 'axis', 'exist', 'and', 'we', 'also', 'consider', 'perturbations', 'delta', 'hdeltacdot', 'fxyp_xp_y', 'that', 'preserve', 'these', 'librations', 'we', 'describe', 'a', 'procedure', 'for', 'the', 'analytical', 'calculation', 'of', 'partial', 'derivatives', 'of', 'the', 'poincare', 'map', 'these', 'partial', 'derivatives', 'can', 'be', 'used', 'to', 'predict', 'the', 'bifurcation', 'behavior', 'of', 'the', 'libration', 'in', 'particular', 'to', 'distinguish', 'between', 'transcritical', 'and', 'forklike', 'bifurcations', 'as', 'was', 'mathematically', 'investigated', 'in', '1', 'and', 'numerically', 'studied', 'in', '2', '1', 'k', 'janich', 'arxivorgabs07103464', '2', 'm', 'brack', 'and', 'k', 'tanaka', 'arxiv07050753']] | [-0.20521570282289758, 0.11048163201000231, -0.07038878470969696, 0.07678961598746052, -0.044329191126356214, -0.12939076950472858, -0.00280946108008114, 0.3449557617229099, -0.28312860702862963, -0.25041763778426684, 0.10864085916788706, -0.2756674982762585, -0.19258890473671877, 0.14669236448874776, -0.036484554434233964, 0.06330922992735093, 0.016094458046912525, 0.041068749502301216, -0.08180119074919882, -0.18864358739180412, 0.2962974193505943, -0.05393265928917875, 0.16126834777727103, 0.013749591804298689, 0.08921678521558836, -0.004347431614102486, 0.049153101562599964, 0.019889099421561696, -0.23625530162416908, 0.03677288274047896, 0.2438451893981437, 0.05677189912118289, 0.17810691590420902, -0.3921032179496251, -0.1727160836356537, 0.09915006802960609, 0.16402076660112166, 0.07295000575565307, 0.03878094152120563, -0.25807982789895806, 0.12642753346881364, -0.13072227742911005, -0.17345162644051015, -0.10398427601224587, 0.0885836062564825, 0.02155540651923123, -0.2520302689517848, 0.06565722538622747, 0.11522462028854837, 0.10834022802979841, -0.045036427487502806, -0.08156028578741825, -0.10356132978146586, 0.0958197489126178, 0.050170964630524395, 0.039705487397441175, 0.07073636675583354, -0.03247388640496259, -0.0940608964592684, 0.37546368703867, -0.08430619287052347, -0.2504697799328521, 0.1317126478315913, -0.18509566886496032, -0.1533920617463688, 0.13807238830001248, 0.1704786326905984, 0.1483403803455682, -0.11139911006224186, 0.10339197553063666, -0.027564123078870278, 0.1079213427437935, 0.15054527433191348, -0.0625069498061445, 0.14086666472333795, 0.05545594556072805, 0.09556699675643661, 0.11395813520236213, -0.08122614662958465, -0.10991118239083637, -0.3019515042809265, -0.153418375159769, -0.11787603229337644, 0.06670208753348561, -0.05385741327821355, -0.13719139638609099, 0.3916716098028701, 0.11628190966803231, 0.21593387855197457, 0.048534080253981905, 0.20540546411454366, 0.12842577789827678, 7.455248851329088e-05, 0.08867180234422752, 0.23342175197709972, 0.1601317396077017, 0.06506806795368902, -0.22200556541732416, -0.005662957245173554, 0.09082457834544282] |
710.3467 | Application of chiral perturbation theory to 2+1 flavor lattice QCD with
O(a)-improved Wilson quarks | We apply chiral perturbation theory to the pseudoscalar meson mass and decay
constant data obtained in the PACS-CS Project toward 2+1 flavor lattice QCD
simulations with the O(a)-improved Wilson quarks. We examine the existence of
chiral logarithms in the quark mass range from m_{ud}=47 MeV down to 6 MeV on a
(2.8 fm)^3 box with the lattice spacing a=0.09 fm. Several low energy constants
are determined. We also discuss the magnitude of finite size effects based on
chiral perturbation theory.
| hep-lat | we apply chiral perturbation theory to the pseudoscalar meson mass and decay constant data obtained in the pacscs project toward 21 flavor lattice qcd simulations with the oaimproved wilson quarks we examine the existence of chiral logarithms in the quark mass range from m_ud47 mev down to 6 mev on a 28 fm3 box with the lattice spacing a009 fm several low energy constants are determined we also discuss the magnitude of finite size effects based on chiral perturbation theory | [['we', 'apply', 'chiral', 'perturbation', 'theory', 'to', 'the', 'pseudoscalar', 'meson', 'mass', 'and', 'decay', 'constant', 'data', 'obtained', 'in', 'the', 'pacscs', 'project', 'toward', '21', 'flavor', 'lattice', 'qcd', 'simulations', 'with', 'the', 'oaimproved', 'wilson', 'quarks', 'we', 'examine', 'the', 'existence', 'of', 'chiral', 'logarithms', 'in', 'the', 'quark', 'mass', 'range', 'from', 'm_ud47', 'mev', 'down', 'to', '6', 'mev', 'on', 'a', '28', 'fm3', 'box', 'with', 'the', 'lattice', 'spacing', 'a009', 'fm', 'several', 'low', 'energy', 'constants', 'are', 'determined', 'we', 'also', 'discuss', 'the', 'magnitude', 'of', 'finite', 'size', 'effects', 'based', 'on', 'chiral', 'perturbation', 'theory']] | [-0.09304972278850177, 0.3203413055066161, -0.04163354428343569, 0.09079758751005688, -0.029361162241106218, -0.05025709101553016, 0.1093177589664495, 0.3805535554037064, -0.13306184221483483, -0.2583814984794612, 0.05512139841890599, -0.32974738720804453, 0.035238845072704354, 0.05821836328346141, 0.09396720103495106, 0.09208212697899111, 0.031861431069990405, 0.015963309656687175, -0.13827770877087228, -0.21792559047477156, 0.3111706121406176, -0.023988002298187604, 0.22165566995221225, 0.20637963377410853, 0.011395334326544234, -0.009952677745752248, -0.02750923673186121, -0.07563528124997511, -0.19421877691970219, 0.03727612392151657, 0.13940957270170667, -0.055178937148538575, 0.12116376480346994, -0.35490758534626965, -0.15132130130748206, 0.04008922482475261, 0.1279436807749392, 0.1431407174920734, -0.008773053822378758, -0.2964029644079554, 0.13195217215703636, -0.2100567931804476, -0.2283258162368136, -0.12772172783749014, -0.04102940490186403, -0.06337477193697344, -0.31708088910938065, 0.10286507691526373, -0.1330707434894918, 0.10530943279685098, -0.027516431959133735, -0.26948635741078025, -0.0346040019789074, 0.04101221809381784, 0.11649608712855584, 0.11038040268954032, 0.16713766404132865, -0.12252476491635264, -0.14164099869129684, 0.4592269258219985, -0.10068953994667464, -0.13306618871607911, 0.08552605166288588, -0.19134401110342786, -0.15292427003312903, 0.11470947746963674, 0.20885375063775014, 0.06432434075358737, -0.12074512174895292, 0.12834336059543752, -0.046147093819336425, 0.251412846167171, 0.1307266279288768, 0.008643126922742099, 0.21750519981112662, 0.1767456672460878, -0.017799891513784097, 0.0411959867688674, -0.06440987832891414, -0.14539320825870278, -0.3349510757134685, 0.01590198473533309, -0.14817481697831728, 0.12010411471364242, -0.18154247565459478, -0.12710277360121283, 0.3709184552035943, 0.15538364105350985, 0.21754310778754798, 0.02502097188247533, 0.241062430216919, 0.06255009503964382, 0.11599346817636132, 0.06642159615655112, 0.2588505330200814, 0.24559659144216323, 0.13536987901087613, -0.3339053824915303, -0.21615984749426193, 0.16076088845847716] |
710.3468 | Meson correlators in the epsilon-regime of two-flavor lattice QCD | We calculate the meson correlators in the $\epsilon$-regime of two-flavor
QCD. On a $16^3\times 32$ lattice with $a\sim 0.11$ fm, the lattice simulations
are performed with the dynamical overlap fermions. We reduce the sea quark mass
down to $\sim$ 3 MeV and the valence quark masses are taken in the range 1-4
MeV. The meson correlators in various channels are compared with the
predictions of (partially quenched) chiral perturbation theory (ChPT).
Including the NLO order of the $\epsilon$-expansion, we extract the
leading-order low energy constants of ChPT, the pion decay constant $F$ and the
chiral condensate $\Sigma$, as $F=87.3(5.5)$ MeV and
$\Sigma^{\bar{\mathrm{MS}}}=[237.8(4.0){MeV}]^3$.
| hep-lat | we calculate the meson correlators in the epsilonregime of twoflavor qcd on a 163times 32 lattice with asim 011 fm the lattice simulations are performed with the dynamical overlap fermions we reduce the sea quark mass down to sim 3 mev and the valence quark masses are taken in the range 14 mev the meson correlators in various channels are compared with the predictions of partially quenched chiral perturbation theory chpt including the nlo order of the epsilonexpansion we extract the leadingorder low energy constants of chpt the pion decay constant f and the chiral condensate sigma as f87355 mev and sigmabarmathrmms237840mev3 | [['we', 'calculate', 'the', 'meson', 'correlators', 'in', 'the', 'epsilonregime', 'of', 'twoflavor', 'qcd', 'on', 'a', '163times', '32', 'lattice', 'with', 'asim', '011', 'fm', 'the', 'lattice', 'simulations', 'are', 'performed', 'with', 'the', 'dynamical', 'overlap', 'fermions', 'we', 'reduce', 'the', 'sea', 'quark', 'mass', 'down', 'to', 'sim', '3', 'mev', 'and', 'the', 'valence', 'quark', 'masses', 'are', 'taken', 'in', 'the', 'range', '14', 'mev', 'the', 'meson', 'correlators', 'in', 'various', 'channels', 'are', 'compared', 'with', 'the', 'predictions', 'of', 'partially', 'quenched', 'chiral', 'perturbation', 'theory', 'chpt', 'including', 'the', 'nlo', 'order', 'of', 'the', 'epsilonexpansion', 'we', 'extract', 'the', 'leadingorder', 'low', 'energy', 'constants', 'of', 'chpt', 'the', 'pion', 'decay', 'constant', 'f', 'and', 'the', 'chiral', 'condensate', 'sigma', 'as', 'f87355', 'mev', 'and', 'sigmabarmathrmms237840mev3']] | [-0.10458878052886575, 0.34161387986503544, -0.05441627193009481, 0.12465491166338324, 0.026996549731411506, -0.047173271413194016, 0.10287435051403009, 0.3570658074133098, -0.11034372352063655, -0.2421686525386758, 0.015081992232007907, -0.38036135855130854, 0.03848838798934594, 0.012144801877439023, 0.14369885901920498, 0.13272038054885343, 0.026585082677192985, 0.04025159670971334, -0.14961391734424978, -0.23258182307821698, 0.30451145940227436, -0.03387025362811982, 0.2017129991389811, 0.21753977730870247, -0.013451149403117597, -0.015320731734391302, -0.014231372978538276, -0.11577758694067597, -0.1653965671826154, 0.03101293449057266, 0.18501118579762987, -0.09782286745030433, 0.08074808776378632, -0.3485408632829785, -0.14929907460231334, 0.03367993077263236, 0.1303357638581656, 0.13640930695459247, 0.032873124139150604, -0.3154343595216051, 0.1304719265922904, -0.23368440705351531, -0.2060811508446932, -0.14227764050476252, -0.07232286030426621, -0.061019964776933194, -0.3370476729422808, 0.15078589846380056, -0.11365977611538255, 0.06616227046586573, -0.028332230155356228, -0.292397647453472, -0.04967921471572481, 0.08927498050616123, 0.1267469198757317, 0.1468449196405709, 0.15599714972544462, -0.1562288596248254, -0.11770740585168823, 0.477605187818408, -0.0981865224253852, -0.12094151196070016, 0.08776462955866009, -0.20136138296686112, -0.11254517666064202, 0.13696232390590013, 0.1745167026668787, 0.0506954702839721, -0.14777683622203766, 0.13272156714549055, -0.02285495958290994, 0.2301782401627861, 0.11865437412634491, 0.04153904531383887, 0.21050498188706115, 0.16052054707193747, -0.08371902337763458, 0.03354498766828328, -0.09506385196233168, -0.13278520019724965, -0.35317720310762524, -0.01286241008201614, -0.13586213005706668, 0.0896490253554657, -0.1822895866302133, -0.11969975172542036, 0.3740538866724819, 0.13496513462159782, 0.22919243427924813, 0.05841680330922827, 0.25764219654724, 0.11117594076204114, 0.11438766559585929, 0.08091076136333868, 0.2759203274687752, 0.2514235957339406, 0.13417159388773142, -0.315307717230171, -0.17871733269654214, 0.09675442046951503] |
710.3469 | The physics case of DAFNE-2 | We present the physics case of DAFNE-2, an $e^+e^-$ collider expected to
deliver 20-50 fb$^{-1}$ at the $\phi(1020)$ peak, and $\sim$ 5 fb$^{-1}$ in the
energy region between 1 and 2.5 GeV.
| hep-ex | we present the physics case of dafne2 an ee collider expected to deliver 2050 fb1 at the phi1020 peak and sim 5 fb1 in the energy region between 1 and 25 gev | [['we', 'present', 'the', 'physics', 'case', 'of', 'dafne2', 'an', 'ee', 'collider', 'expected', 'to', 'deliver', '2050', 'fb1', 'at', 'the', 'phi1020', 'peak', 'and', 'sim', '5', 'fb1', 'in', 'the', 'energy', 'region', 'between', '1', 'and', '25', 'gev']] | [-0.009415979504645351, 0.16216766559603368, -0.01038531712707012, 0.1724417525073213, 0.014186811002512132, -0.06057365521067573, 0.023146554549795487, 0.3725588170270766, -0.21298521925364772, -0.4322411787485884, -0.030068544013756176, -0.4593515130541017, 0.1619492813554262, 0.17300878921824117, 0.1303049927613052, 0.042294445267367746, 0.0930375065053663, -0.018571752754430616, -0.05295045341875765, -0.25150740026466306, 0.16760069205455722, 0.1772894534853197, 0.22297336254268885, 0.16776914425915287, 0.06875459465288347, -0.03813156903901648, 0.06574768645148124, -0.18005500703809724, -0.16565633267765084, 0.043841329421998275, 0.30052542542257615, 0.1031427213381375, 0.2075166505190634, -0.2837594364799799, 0.024363526620060926, 0.2046505424284166, 0.15525862496466405, -0.06387786969782845, -0.026124389992365913, -0.3057225668697708, 0.21363345704852574, -0.3044896207509502, -0.11549482173136165, 0.10105953430156073, 0.02547845562859889, -0.16183227652143087, -0.3154449557825442, 0.1474879314942706, -0.10735678162065244, 0.1388671883652287, -0.05355165835710302, -0.2286744465180222, -0.013270500882138167, -0.13233852879174293, 0.049526238813996315, 0.08976270028600289, 0.1824845961415239, -0.11897116822881564, -0.15892378354985867, 0.3228342691736837, -0.02408034129128341, -0.018103794825653875, 0.2081782874095464, -0.2625636834531061, -0.01940762654187218, 0.20251445856786543, 0.32587950929037984, 0.011051252784748231, -0.16891294183029282, 0.08347194476218353, 0.05859238203735121, 0.26218210743559944, 0.09490752139038616, 0.0959379123824258, 0.21084540475520394, 0.22621953481387708, 0.07368754334146937, 0.03246662164888074, -0.22802514065387508, 0.0004361043533971233, -0.5004575193949765, -0.05131705228479639, -0.009492083242343317, 0.12225954270651264, -0.042766510748357, 0.08050242973671805, 0.366658846509733, 0.11990642298253314, 0.35342329572285375, 0.020688435633576686, 0.236978426816002, 0.13443289464339614, 0.018798709844216523, 0.18453149943032318, 0.38266372488391015, 0.09637246091639803, 0.26198606151005915, -0.1871914659897166, -0.13051120881291647, -0.05753654683189046] |
710.347 | Wahl's conjecture holds in odd characteristics for symplectic and
orthogonal Grassmannians | It is shown that the proof by Mehta and Parameswaran of Wahl's conjecture for
Grassmannians in positive odd characteristics also works for symplectic and
orthogonal Grassmannians.
| math.AG math.RT | it is shown that the proof by mehta and parameswaran of wahls conjecture for grassmannians in positive odd characteristics also works for symplectic and orthogonal grassmannians | [['it', 'is', 'shown', 'that', 'the', 'proof', 'by', 'mehta', 'and', 'parameswaran', 'of', 'wahls', 'conjecture', 'for', 'grassmannians', 'in', 'positive', 'odd', 'characteristics', 'also', 'works', 'for', 'symplectic', 'and', 'orthogonal', 'grassmannians']] | [-0.17700195483988723, 0.06852325768424915, -0.09301039307879713, 0.10232278105104342, -0.0919932470871852, -0.2585704094515397, -0.06574668086921939, 0.31122112240140826, -0.19841213803738356, -0.1781050359400419, 0.07214015078856252, -0.1889211211550551, -0.27752969757868695, 0.24030234127377087, -0.17747451801999256, 0.009695522487163544, 0.07841279060364915, -0.007773390093531746, -0.04154331959748211, -0.3902693164463227, 0.40664705949333996, 0.011052052185942348, 0.26266397070139647, 0.15098779804359835, 0.13877031332455003, 0.06380992998870519, -0.03154785365152817, -0.060998926942165084, -0.09386450110608936, 0.09351471836607043, 0.3392486251317538, 0.11602943748808824, 0.1395546728028701, -0.30413739003527623, -0.11097391634785499, 0.14882412699695963, 0.1890516898308236, 0.019512765109539032, 0.0032475436500345287, -0.2809163255330462, 0.1099089254410221, -0.10018157987640454, -0.21074073788566658, -0.11747321414832886, 0.15280701972257632, 0.009611442434386564, -0.2552588448071709, -0.03841259259878335, 0.2501464132935955, 0.11451714349767336, -0.06625799533839409, -0.20836110796349552, -0.032006800562017955, 0.025587774347513914, 0.01180874179296482, 0.016372789445225723, -0.039178251647032224, -0.01809233441375769, -0.1924143128383618, 0.32208549259946895, -0.03187888824882416, -0.2679620146608123, 0.04958105660401858, -0.11873553972691298, -0.21257860020089608, 0.12107465576487951, -0.0006911808338302833, 0.14708051071144068, 0.03625664464198053, 0.15985388870691308, -0.1784679632848845, -0.04518546006427361, 0.21772497745517355, -0.04295662760089796, 0.09768024115608288, -0.041701936906275265, 0.09569445467339112, 0.06430420949338721, 0.06257280198713908, -0.0656112870380569, -0.23993144234499106, -0.24765117307050297, -0.13654801095477664, 0.16890399233223155, -0.08237664265302905, -0.1030325841622051, 0.3454458464223605, 0.031916926973141156, 0.12809727186910236, 0.18199587212159082, 0.2619564962000228, -0.0030256849355422533, 0.019485194325590365, 0.061079098182605006, 0.16813373587165886, 0.3120610589394346, 0.04333392387399307, -0.150355090190155, -0.025252782650148638, 0.22975339450371954] |
710.3471 | Dual Actions for Born-Infeld and Dp-Brane Theories | Dual actions with respect to U(1) gauge fields for Born-Infeld and $Dp$-brane
theories are reexamined. Taking into account an additional condition, i.e. a
corollary to the field equation of the auxiliary metric, one obtains an
alternative dual action that does not involve the infinite power series in the
auxiliary metric given by ref. \cite{s14}, but just picks out the first term
from the series formally. New effective interactions of the theories are
revealed. That is, the new dual action gives rise to an effective interaction
in terms of one interaction term rather than infinite terms of different
(higher) orders of interactions physically. However, the price paid for
eliminating the infinite power series is that the new action is not quadratic
but highly nonlinear in the Hodge dual of a $(p-1)$-form field strength. This
non-linearity is inevitable to the requirement the two dual actions are
equivalent.
| hep-th | dual actions with respect to u1 gauge fields for borninfeld and dpbrane theories are reexamined taking into account an additional condition ie a corollary to the field equation of the auxiliary metric one obtains an alternative dual action that does not involve the infinite power series in the auxiliary metric given by ref cites14 but just picks out the first term from the series formally new effective interactions of the theories are revealed that is the new dual action gives rise to an effective interaction in terms of one interaction term rather than infinite terms of different higher orders of interactions physically however the price paid for eliminating the infinite power series is that the new action is not quadratic but highly nonlinear in the hodge dual of a p1form field strength this nonlinearity is inevitable to the requirement the two dual actions are equivalent | [['dual', 'actions', 'with', 'respect', 'to', 'u1', 'gauge', 'fields', 'for', 'borninfeld', 'and', 'dpbrane', 'theories', 'are', 'reexamined', 'taking', 'into', 'account', 'an', 'additional', 'condition', 'ie', 'a', 'corollary', 'to', 'the', 'field', 'equation', 'of', 'the', 'auxiliary', 'metric', 'one', 'obtains', 'an', 'alternative', 'dual', 'action', 'that', 'does', 'not', 'involve', 'the', 'infinite', 'power', 'series', 'in', 'the', 'auxiliary', 'metric', 'given', 'by', 'ref', 'cites14', 'but', 'just', 'picks', 'out', 'the', 'first', 'term', 'from', 'the', 'series', 'formally', 'new', 'effective', 'interactions', 'of', 'the', 'theories', 'are', 'revealed', 'that', 'is', 'the', 'new', 'dual', 'action', 'gives', 'rise', 'to', 'an', 'effective', 'interaction', 'in', 'terms', 'of', 'one', 'interaction', 'term', 'rather', 'than', 'infinite', 'terms', 'of', 'different', 'higher', 'orders', 'of', 'interactions', 'physically', 'however', 'the', 'price', 'paid', 'for', 'eliminating', 'the', 'infinite', 'power', 'series', 'is', 'that', 'the', 'new', 'action', 'is', 'not', 'quadratic', 'but', 'highly', 'nonlinear', 'in', 'the', 'hodge', 'dual', 'of', 'a', 'p1form', 'field', 'strength', 'this', 'nonlinearity', 'is', 'inevitable', 'to', 'the', 'requirement', 'the', 'two', 'dual', 'actions', 'are', 'equivalent']] | [-0.16301246011180096, 0.14694432719271422, -0.0802938828991469, 0.08283642026322798, -0.14344644348683028, -0.15303832679858495, -0.024586853481315334, 0.31143292011371976, -0.24853739083969387, -0.26358964138961366, 0.07458896730175435, -0.27021360106701997, -0.14891812016480954, 0.1567250669901741, -0.07434898589111479, -0.03173526681253108, -0.016348225141650644, 0.1247604349917122, -0.06640912636327718, -0.29006403220881677, 0.34428999122264314, 0.04073849278341594, 0.26121433248807646, 0.042043254675407864, 0.1547867249890134, 0.009721860060757348, -0.019263323485562256, 0.04736891019936844, -0.040436209872282705, 0.10551151334918264, 0.20182908645044242, 0.05643970808495992, 0.2655915480235527, -0.4369885093821534, -0.21416254863785258, 0.09860378365867353, 0.12194639189040353, 0.09299929465713172, -0.010459432498840937, -0.2571648771906721, 0.04220858787363074, -0.18359135843428045, -0.12019728418391455, -0.09860550741954097, 0.0277096059928038, -0.0473870459534549, -0.30622984795220964, 0.03708733842700142, 0.07088013283410591, 0.04049666877193697, -0.10344766628575222, -0.07116939042983898, -0.013079986669893922, 0.10518643033915552, 0.10995857824796233, 0.07190211218107363, 0.06389672438662242, -0.18526571326696412, -0.10263096454456963, 0.39822889060295863, -0.08663968913275187, -0.24610216120450662, 0.16882185388260104, -0.10044585673162586, -0.1161867581307888, 0.14672461539217882, 0.09084191098166951, 0.1362087357452075, -0.16214310105183516, 0.14462535307413482, -0.010149756700185867, 0.15566567673893839, 0.05535349936208463, 0.06319105990295266, 0.2047008309866591, 0.06184583494825096, 0.09526927885117716, 0.161375855998104, 0.039695256384860336, -0.14668761340837028, -0.374263909086585, -0.1348176263144304, -0.11936795447856702, 0.09701222862410037, -0.13227313906666904, -0.1685754588066504, 0.384104722885993, 0.12319922478034578, 0.16382944452223078, 0.040544257814000395, 0.2416903001866464, 0.18831241168402907, 0.1049363927112828, 0.018654020907806938, 0.24388873509998465, 0.11976325686796215, 0.02804923607357617, -0.21391624789123007, -0.006051560170177756, 0.1475626401442649] |
710.3472 | Memory effects in quantum information transmission across a Hamiltonian
dephasing channel | We study a dephasing channel with memory, modelled by a multimode environment
of oscillators. Focusing on the case of two channel uses, we show that memory
effects can enhance the amount of coherent quantum information transmitted down
the channel. We also show the Kraus representation for two channel uses.
Finally, we propose a coding-decoding scheme that takes advantage of memory to
improve the fidelity of transmission.
| quant-ph cond-mat.mes-hall | we study a dephasing channel with memory modelled by a multimode environment of oscillators focusing on the case of two channel uses we show that memory effects can enhance the amount of coherent quantum information transmitted down the channel we also show the kraus representation for two channel uses finally we propose a codingdecoding scheme that takes advantage of memory to improve the fidelity of transmission | [['we', 'study', 'a', 'dephasing', 'channel', 'with', 'memory', 'modelled', 'by', 'a', 'multimode', 'environment', 'of', 'oscillators', 'focusing', 'on', 'the', 'case', 'of', 'two', 'channel', 'uses', 'we', 'show', 'that', 'memory', 'effects', 'can', 'enhance', 'the', 'amount', 'of', 'coherent', 'quantum', 'information', 'transmitted', 'down', 'the', 'channel', 'we', 'also', 'show', 'the', 'kraus', 'representation', 'for', 'two', 'channel', 'uses', 'finally', 'we', 'propose', 'a', 'codingdecoding', 'scheme', 'that', 'takes', 'advantage', 'of', 'memory', 'to', 'improve', 'the', 'fidelity', 'of', 'transmission']] | [-0.21711913338213257, 0.11436139871225212, -0.08714308087347132, 0.023846652222952496, -0.03076700083064762, -0.19384672484981516, 0.10547839406750757, 0.41619744140541914, -0.27905742987764603, -0.2428725604532343, 0.08171385374964413, -0.22321169620210474, -0.16511818612431825, 0.19420587325073552, -0.09340252568169187, 0.04380820942760417, 0.10217345092502056, 0.05160993995201407, -0.0329535262673303, -0.2597631692717021, 0.3261635218831626, 0.032154446585936414, 0.3169656101275574, 0.020501761923007893, 0.1647294688631188, 0.0723228074723121, -0.0471633010769658, -0.058403090206962646, -0.09333221179148302, 0.08096600998066027, 0.1850058285971031, 0.11280348329720172, 0.25696023978349386, -0.4656104576407057, -0.2778188499876044, 0.06420887899443958, 0.15634464886909083, 0.18953350810051867, -0.028034901368135415, -0.2794331298315559, 0.06500653608589235, -0.2186145383130872, 0.0015538532329215245, -0.07648471027443354, -0.06519401024067492, -0.016390657705029076, -0.3301700759029975, 0.04447503257710416, 0.08969767632273336, -0.02468924404996814, 0.0025444622786546297, -0.06769016319815295, 0.03067788259112135, 0.16193331505002623, -0.07422174280509353, -0.06287406705792598, 0.1340402499067061, -0.11606605774299665, -0.12257326394319534, 0.3089534610396985, -0.1283700930573766, -0.21051202584622483, 0.13025445111843786, -0.11391616211216332, -0.05597030183751926, 0.09351354172791947, 0.23592491487083447, 0.03767137419940396, -0.14150306672055388, 0.03579639967982516, -0.0045884912128024025, 0.23733962877568873, 0.03386464420085152, 0.18521603065627543, 0.11987592601640658, 0.21035004542632538, 0.03789197006545058, 0.2597279962942456, -0.15415601343071708, -0.12457369914221944, -0.2613347750721556, -0.18733102850841754, -0.21339413247099429, 0.0641226198975787, -0.04963988608285559, -0.0465796860499364, 0.397526726760065, 0.17965988736515018, 0.1633464330877883, 0.09057797045644486, 0.34364186690160725, 0.09540239615704525, 0.05775736684374737, 0.10363631854962671, 0.194326617980771, 0.14209274664365998, 0.08433982458276053, -0.2914178476414897, 0.04551364792242759, -0.01616134217968493] |
710.3473 | Modelling the effects of air pollution on health using Bayesian Dynamic
Generalised Linear Models | The relationship between short-term exposure to air pollution and mortality
or morbidity has been the subject of much recent research, in which the
standard method of analysis uses Poisson linear or additive models. In this
paper we use a Bayesian dynamic generalised linear model (DGLM) to estimate
this relationship, which allows the standard linear or additive model to be
extended in two ways: (i) the long-term trend and temporal correlation present
in the health data can be modelled by an autoregressive process rather than a
smooth function of calendar time; (ii) the effects of air pollution are allowed
to evolve over time. The efficacy of these two extensions are investigated by
applying a series of dynamic and non-dynamic models to air pollution and
mortality data from Greater London. A Bayesian approach is taken throughout,
and a Markov chain monte carlo simulation algorithm is presented for inference.
An alternative likelihood based analysis is also presented, in order to allow a
direct comparison with the only previous analysis of air pollution and health
data using a DGLM.
| stat.AP stat.ME | the relationship between shortterm exposure to air pollution and mortality or morbidity has been the subject of much recent research in which the standard method of analysis uses poisson linear or additive models in this paper we use a bayesian dynamic generalised linear model dglm to estimate this relationship which allows the standard linear or additive model to be extended in two ways i the longterm trend and temporal correlation present in the health data can be modelled by an autoregressive process rather than a smooth function of calendar time ii the effects of air pollution are allowed to evolve over time the efficacy of these two extensions are investigated by applying a series of dynamic and nondynamic models to air pollution and mortality data from greater london a bayesian approach is taken throughout and a markov chain monte carlo simulation algorithm is presented for inference an alternative likelihood based analysis is also presented in order to allow a direct comparison with the only previous analysis of air pollution and health data using a dglm | [['the', 'relationship', 'between', 'shortterm', 'exposure', 'to', 'air', 'pollution', 'and', 'mortality', 'or', 'morbidity', 'has', 'been', 'the', 'subject', 'of', 'much', 'recent', 'research', 'in', 'which', 'the', 'standard', 'method', 'of', 'analysis', 'uses', 'poisson', 'linear', 'or', 'additive', 'models', 'in', 'this', 'paper', 'we', 'use', 'a', 'bayesian', 'dynamic', 'generalised', 'linear', 'model', 'dglm', 'to', 'estimate', 'this', 'relationship', 'which', 'allows', 'the', 'standard', 'linear', 'or', 'additive', 'model', 'to', 'be', 'extended', 'in', 'two', 'ways', 'i', 'the', 'longterm', 'trend', 'and', 'temporal', 'correlation', 'present', 'in', 'the', 'health', 'data', 'can', 'be', 'modelled', 'by', 'an', 'autoregressive', 'process', 'rather', 'than', 'a', 'smooth', 'function', 'of', 'calendar', 'time', 'ii', 'the', 'effects', 'of', 'air', 'pollution', 'are', 'allowed', 'to', 'evolve', 'over', 'time', 'the', 'efficacy', 'of', 'these', 'two', 'extensions', 'are', 'investigated', 'by', 'applying', 'a', 'series', 'of', 'dynamic', 'and', 'nondynamic', 'models', 'to', 'air', 'pollution', 'and', 'mortality', 'data', 'from', 'greater', 'london', 'a', 'bayesian', 'approach', 'is', 'taken', 'throughout', 'and', 'a', 'markov', 'chain', 'monte', 'carlo', 'simulation', 'algorithm', 'is', 'presented', 'for', 'inference', 'an', 'alternative', 'likelihood', 'based', 'analysis', 'is', 'also', 'presented', 'in', 'order', 'to', 'allow', 'a', 'direct', 'comparison', 'with', 'the', 'only', 'previous', 'analysis', 'of', 'air', 'pollution', 'and', 'health', 'data', 'using', 'a', 'dglm']] | [-0.04201344283825228, 0.07272923532540296, -0.11115075792912717, 0.09734473408392176, -0.07783415107691737, -0.10561848066564154, 0.06861341416208623, 0.4132019326607616, -0.26732678594056924, -0.32360606718097806, 0.15936525185885866, -0.28644807056553806, -0.13949121946416462, 0.19251178829887655, -0.07006537912122776, 0.06772088302525482, 0.04849577220049121, -0.0019842875688040706, -0.0413759360116815, -0.2456863345066893, 0.2630884674595766, 0.08764474505472476, 0.28220518078181267, 0.00886099425149877, 0.08652653737260148, 0.009177275167877726, -0.1129362468656174, 0.034880639710652, -0.08705794094722567, 0.13008805628626396, 0.26374889216090536, 0.138366085922647, 0.3276708720068883, -0.44385572623009284, -0.26968351964747284, 0.13049400149510818, 0.09463652775143784, 0.07607771622991416, -0.022659441477732162, -0.2846177086514028, 0.03487053757999092, -0.23112943927310622, -0.07243523516859106, -0.03429330968583336, -0.017299050884455915, 0.001099055283029989, -0.3126692646371491, 0.09958747089615043, 0.02235903220272736, 0.10866156786766355, -0.04669240767955834, -0.10792421119696746, -0.011788086170287577, 0.1198226115383703, 0.08810789767579402, 0.0034044913912590355, 0.08973566216088272, -0.06182617096854858, -0.12088349037850814, 0.34176022095896436, -0.10553121129483202, -0.18791090943608324, 0.1879039809196606, -0.09102559569587855, -0.10929043399374609, 0.11634962098683753, 0.22686360106195155, 0.08750157211395788, -0.21469994164152728, 0.03553019026684645, -0.002619440306645597, 0.1803102917064821, 0.003866988912526238, -0.06936650574234222, 0.16903902278039495, 0.22057750154114356, 0.04756228600203388, 0.12356084781548149, -0.12372477802803276, -0.12445338968338304, -0.23954511626026018, -0.1418295694653731, -0.11324132826566868, 0.023222110627859702, -0.08648295011613626, -0.16166535549597932, 0.3917791170116536, 0.1840500535012472, 0.147975303205753, 0.07237474660852095, 0.31939167233528515, 0.11022920974374162, 0.03978174181945751, 0.05036055173649523, 0.16840368117652618, 0.10155947520390875, 0.09646483956677354, -0.1895084507504984, 0.13664331391515652, 0.002677741885788179] |
710.3474 | Numerical study of transport through a single impurity in a spinful
Tomonaga-Luttinger liquid | The single impurity problem in a spinful Tomonaga-Luttinger liquid is studied
numerically using path-integral Monte Carlo methods. The advantage of our
approach is that the system allows for extensive analyses of charge and spin
conductance in the non-perturbative regime. By closely examining the behavior
of conductances at low temperatures, in the presence of a finite backward
scattering barrier due to the impurity, we identified four distinct phases
characterized by either perfect transmission or reflection of charge and spin
channels. Our phase diagram for an intermediate scattering strength is
consistent with the standard perturbative renormalization group (RG) analysis
in the limit of weak and strong backward scattering, in the sense that all our
phase boundaries interpolate the two limiting cases. Further investigations
show, however, that precise location and form of our phase boundaries are not
trivially explained by the standard RG analysis, e.g., some part of the phase
diagram looks much similar to the weak backscattering limit, whereas some other
part is clearly derived from the opposite limit. In order to give a more
intuitive interpretation of such behaviors, we also reconsidered our impurity
problem from the viewpoint of a quantum Brownian motion picture.
| cond-mat.mes-hall | the single impurity problem in a spinful tomonagaluttinger liquid is studied numerically using pathintegral monte carlo methods the advantage of our approach is that the system allows for extensive analyses of charge and spin conductance in the nonperturbative regime by closely examining the behavior of conductances at low temperatures in the presence of a finite backward scattering barrier due to the impurity we identified four distinct phases characterized by either perfect transmission or reflection of charge and spin channels our phase diagram for an intermediate scattering strength is consistent with the standard perturbative renormalization group rg analysis in the limit of weak and strong backward scattering in the sense that all our phase boundaries interpolate the two limiting cases further investigations show however that precise location and form of our phase boundaries are not trivially explained by the standard rg analysis eg some part of the phase diagram looks much similar to the weak backscattering limit whereas some other part is clearly derived from the opposite limit in order to give a more intuitive interpretation of such behaviors we also reconsidered our impurity problem from the viewpoint of a quantum brownian motion picture | [['the', 'single', 'impurity', 'problem', 'in', 'a', 'spinful', 'tomonagaluttinger', 'liquid', 'is', 'studied', 'numerically', 'using', 'pathintegral', 'monte', 'carlo', 'methods', 'the', 'advantage', 'of', 'our', 'approach', 'is', 'that', 'the', 'system', 'allows', 'for', 'extensive', 'analyses', 'of', 'charge', 'and', 'spin', 'conductance', 'in', 'the', 'nonperturbative', 'regime', 'by', 'closely', 'examining', 'the', 'behavior', 'of', 'conductances', 'at', 'low', 'temperatures', 'in', 'the', 'presence', 'of', 'a', 'finite', 'backward', 'scattering', 'barrier', 'due', 'to', 'the', 'impurity', 'we', 'identified', 'four', 'distinct', 'phases', 'characterized', 'by', 'either', 'perfect', 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710.3475 | Can distributed delays perfectly stabilize dynamical networks? | Signal transmission delays tend to destabilize dynamical networks leading to
oscillation, but their dispersion contributes oppositely toward stabilization.
We analyze an integro-differential equation that describes the collective
dynamics of a neural network with distributed signal delays. With the gamma
distributed delays less dispersed than exponential distribution, the system
exhibits reentrant phenomena, in which the stability is once lost but then
recovered as the mean delay is increased. With delays dispersed more highly
than exponential, the system never destabilizes.
| cond-mat.dis-nn nlin.AO | signal transmission delays tend to destabilize dynamical networks leading to oscillation but their dispersion contributes oppositely toward stabilization we analyze an integrodifferential equation that describes the collective dynamics of a neural network with distributed signal delays with the gamma distributed delays less dispersed than exponential distribution the system exhibits reentrant phenomena in which the stability is once lost but then recovered as the mean delay is increased with delays dispersed more highly than exponential the system never destabilizes | [['signal', 'transmission', 'delays', 'tend', 'to', 'destabilize', 'dynamical', 'networks', 'leading', 'to', 'oscillation', 'but', 'their', 'dispersion', 'contributes', 'oppositely', 'toward', 'stabilization', 'we', 'analyze', 'an', 'integrodifferential', 'equation', 'that', 'describes', 'the', 'collective', 'dynamics', 'of', 'a', 'neural', 'network', 'with', 'distributed', 'signal', 'delays', 'with', 'the', 'gamma', 'distributed', 'delays', 'less', 'dispersed', 'than', 'exponential', 'distribution', 'the', 'system', 'exhibits', 'reentrant', 'phenomena', 'in', 'which', 'the', 'stability', 'is', 'once', 'lost', 'but', 'then', 'recovered', 'as', 'the', 'mean', 'delay', 'is', 'increased', 'with', 'delays', 'dispersed', 'more', 'highly', 'than', 'exponential', 'the', 'system', 'never', 'destabilizes']] | [-0.22974224305466917, 0.18752659287304432, -0.10237067608306041, 0.04543758630274962, -0.03912004834423081, -0.2150401804037989, 0.019416343587904405, 0.38230344975510466, -0.312062216982341, -0.2761827318642575, 0.08345489053933236, -0.29871009156489986, -0.169179947509502, 0.15344700257843122, -0.0561041172940093, 0.010660706249137338, 0.04744478349741071, 0.02934160183231609, -0.03849477965969783, -0.20606092216733557, 0.2475628053250078, 0.08997900899908601, 0.26499508394716453, -0.07260510816913432, 0.08072658972098277, -0.030243069309597977, 0.0033823373512579845, -0.0023815892323350105, -0.06354335144071509, 0.040789233293766394, 0.1882121105117198, 0.04332268443436195, 0.27961873835645235, -0.46084361928156936, -0.2632966388004999, 0.16382742246899468, 0.24123421815247872, 0.12562302354788885, -0.02284453996514621, -0.29886149236550313, 0.05997737003072428, -0.15350673222341216, -0.16676142590884596, -0.0002452051505828515, 0.0541564000185388, 0.06084125974955849, -0.22478345350529522, 0.15254353158450565, 0.029149978831693985, -0.0072608849941155846, -0.07069292154688483, -0.048574311416954376, -0.06388624985582936, 0.10883947351398185, 0.04979319148696959, -0.010575788394094277, 0.14956370852171227, -0.12860403603945786, -0.04455669909023131, 0.3754442492261147, -0.07908454841302816, -0.17282211916664472, 0.15956229850267753, -0.14078521764335725, -0.07492621594037001, 0.25739943209844524, 0.22650854603554577, 0.0662016528889907, -0.14110365834755775, -0.06100522793638401, 0.05783343411838779, 0.263039525383367, 0.06374311552514346, 0.07305980567486049, 0.15527985009770745, 0.22736626610350916, 0.13459551389305255, 0.15266976146719968, -0.05192882200786605, -0.1777623686939478, -0.19938558014706734, -0.06897098525689963, -0.11333437505154273, 0.06271988010177246, -0.08035971976530093, -0.17283107155265334, 0.33554470245368206, 0.11354708831566267, 0.182033484061368, 0.12605527054536372, 0.29297321612158644, 0.17716933176584113, 0.06501004682220997, 0.098313289787583, 0.26443757250522953, 0.1234262127500887, 0.20214402746074858, -0.253244685397173, 0.1519642577637942, -0.025656220437481236] |
710.3476 | Multi-particle entanglement and generalized N-particle teleportation
using quantum statistical correlations | Construction of multi-particle entangled states and direct teleportation of
N-(spin 1/2) particles are important areas of quantum information processing. A
number of different schemes which have been presented already, address the
problem through controlled teleportation. In this article, a criterion based on
standard quantum statistical correlations employed in the many body virial
expansions is used to determine maximum entanglement for a N-particle state.
These states remain entangled through proper traces to states for a smaller
number of particles and can be generalized for arbitrary number of particles.
It is shown that they are quite useful in generalized, N-particle, direct
teleportation. The corresponding quantum gates are also indicated for
teleportation schemes from simple computational basis states.
| quant-ph | construction of multiparticle entangled states and direct teleportation of nspin 12 particles are important areas of quantum information processing a number of different schemes which have been presented already address the problem through controlled teleportation in this article a criterion based on standard quantum statistical correlations employed in the many body virial expansions is used to determine maximum entanglement for a nparticle state these states remain entangled through proper traces to states for a smaller number of particles and can be generalized for arbitrary number of particles it is shown that they are quite useful in generalized nparticle direct teleportation the corresponding quantum gates are also indicated for teleportation schemes from simple computational basis states | [['construction', 'of', 'multiparticle', 'entangled', 'states', 'and', 'direct', 'teleportation', 'of', 'nspin', '12', 'particles', 'are', 'important', 'areas', 'of', 'quantum', 'information', 'processing', 'a', 'number', 'of', 'different', 'schemes', 'which', 'have', 'been', 'presented', 'already', 'address', 'the', 'problem', 'through', 'controlled', 'teleportation', 'in', 'this', 'article', 'a', 'criterion', 'based', 'on', 'standard', 'quantum', 'statistical', 'correlations', 'employed', 'in', 'the', 'many', 'body', 'virial', 'expansions', 'is', 'used', 'to', 'determine', 'maximum', 'entanglement', 'for', 'a', 'nparticle', 'state', 'these', 'states', 'remain', 'entangled', 'through', 'proper', 'traces', 'to', 'states', 'for', 'a', 'smaller', 'number', 'of', 'particles', 'and', 'can', 'be', 'generalized', 'for', 'arbitrary', 'number', 'of', 'particles', 'it', 'is', 'shown', 'that', 'they', 'are', 'quite', 'useful', 'in', 'generalized', 'nparticle', 'direct', 'teleportation', 'the', 'corresponding', 'quantum', 'gates', 'are', 'also', 'indicated', 'for', 'teleportation', 'schemes', 'from', 'simple', 'computational', 'basis', 'states']] | [-0.11729861496158106, 0.2240641412234096, -0.12040575112054205, 0.09307492701842895, 0.02474840428153782, -0.19291180987518441, 0.030948308083917134, 0.3505277202181194, -0.240599164577282, -0.27744466599238954, 0.07004978260045629, -0.24880389114436896, -0.09740656802592718, 0.24906456932101562, -0.03843483898140814, 0.17098438750304606, 0.10259167066491816, 0.043366075807210545, -0.027336625684984028, -0.25875507362348876, 0.27534693669851706, 0.018787420621020314, 0.28278920458548745, 0.05480619208563281, 0.09446286798003078, 0.016866836891226148, 0.0015233521349728107, 0.010110162955749295, -0.10510395368511799, 0.11037799088871511, 0.31874453416499104, 0.12691339180347985, 0.2485239770749341, -0.4374666978807553, -0.21797220356757346, 0.12464796696870548, 0.17102404110558816, 0.18923384455417325, -0.02393714426915445, -0.305259712246935, 0.03975895674818236, -0.22482501746600736, -0.09631196476681077, -0.11148851499285387, 0.01339957887387794, -0.014625294591583635, -0.24272364443572966, 0.09449623738309247, 0.015048493742031734, 0.035214790353632494, 0.03911034096963704, -0.09361432053796623, 0.019006116003931865, 0.12172087002545595, -0.07314435996358161, -0.03965216466205437, 0.14582135284967396, -0.13996370435368433, -0.18410567885831647, 0.35637689836971137, 0.03072055194567403, -0.26651877255543416, 0.1993977926934705, -0.07712213983556823, -0.13631090033880394, 0.08945579414620347, 0.1412534349962421, 0.11412524948423, -0.13645869960360554, 0.040459279658313356, -0.04867976389663375, 0.15688406808463776, 0.07590791632056884, 0.14033584460595866, 0.19559354750520508, 0.05676466818979901, 0.08281260798229714, 0.17281231288089538, -0.030395898480049293, -0.1819955058031432, -0.3131783282141323, -0.22203111244269405, -0.2706781480056436, 0.06030448997879158, -0.061194833470559075, -0.12174402572209542, 0.3675955036736053, 0.11164336559646156, 0.14801486439436026, 0.00033736705233383435, 0.25464105082513844, 0.11268023691018639, 0.04194116933352274, 0.0816660290988891, 0.2452821597173486, 0.192363577745045, 0.03384070760448989, -0.18658092504002802, 0.05895682242496506, 0.06210247287121804] |
710.3477 | The poorly constrained cluster disruption time-scale in the Large
Magellanic Cloud | We use Monte-Carlo simulations, combined with homogeneously determined age
and mass distributions based on multi-wavelength photometry, to constrain the
cluster formation history and the rate of bound cluster disruption in the Large
Magellanic Cloud (LMC) cluster system. We evolve synthetic star cluster systems
formed with a power-law initial cluster mass function (ICMF) of spectral index
$\alpha =-2$ assuming different cluster disruption time-scales. For each of
these disruption time-scales we derive the corresponding cluster formation rate
(CFR) required to reproduce the observed cluster age distribution. We then
compare, in a Poissonian $\chi^2$ sense, model mass distributions and model
two-dimensional distributions in log(mass) vs. log(age) space of the detected
surviving clusters to the observations. Because of the bright detection limit
($M_V^{\rm lim} \simeq -4.7$ mag) above which the observed cluster sample is
complete, one cannot constrain the characteristic disruption time-scale for a
$10^4$ M$_\odot$ cluster, $t_4^{\rm dis}$ (where the disruption time-scale
depends on cluster mass as $t_{\rm dis} = t_4^{\rm dis} (M_{\rm cl} / 10^4 {\rm
M}_\odot)^0.62$), to better than $t_4^{\rm dis} \ge 1$ Gyr. We conclude that
the CFR has increased from 0.3 clusters Myr$^{-1}$ 5 Gyr ago, to a present rate
of $(20-30)$ clusters Myr$^{-1}$. For older ages the derived CFR depends
sensitively on our assumption of the underlying CMF shape. If we assume a
universal Gaussian ICMF, then the CFR has increased steadily over a Hubble time
from $\sim 1$ cluster Gyr$^{-1}$ 15 Gyr ago to its present value. If the ICMF
has always been a power law with a slope close to $\alpha=-2$, the CFR exhibits
a minimum some 5 Gyr ago, which we tentatively identify with the well-known age
gap in the LMC's cluster age distribution.
| astro-ph | we use montecarlo simulations combined with homogeneously determined age and mass distributions based on multiwavelength photometry to constrain the cluster formation history and the rate of bound cluster disruption in the large magellanic cloud lmc cluster system we evolve synthetic star cluster systems formed with a powerlaw initial cluster mass function icmf of spectral index alpha 2 assuming different cluster disruption timescales for each of these disruption timescales we derive the corresponding cluster formation rate cfr required to reproduce the observed cluster age distribution we then compare in a poissonian chi2 sense model mass distributions and model twodimensional distributions in logmass vs logage space of the detected surviving clusters to the observations because of the bright detection limit m_vrm lim simeq 47 mag above which the observed cluster sample is complete one cannot constrain the characteristic disruption timescale for a 104 m_odot cluster t_4rm dis where the disruption timescale depends on cluster mass as t_rm dis t_4rm dis m_rm cl 104 rm m_odot062 to better than t_4rm dis ge 1 gyr we conclude that the cfr has increased from 03 clusters myr1 5 gyr ago to a present rate of 2030 clusters myr1 for older ages the derived cfr depends sensitively on our assumption of the underlying cmf shape if we assume a universal gaussian icmf then the cfr has increased steadily over a hubble time from sim 1 cluster gyr1 15 gyr ago to its present value if the icmf has always been a power law with a slope close to alpha2 the cfr exhibits a minimum some 5 gyr ago which we tentatively identify with the wellknown age gap in the lmcs cluster age distribution | [['we', 'use', 'montecarlo', 'simulations', 'combined', 'with', 'homogeneously', 'determined', 'age', 'and', 'mass', 'distributions', 'based', 'on', 'multiwavelength', 'photometry', 'to', 'constrain', 'the', 'cluster', 'formation', 'history', 'and', 'the', 'rate', 'of', 'bound', 'cluster', 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710.3478 | Nonparametric estimation of a point-spread function in multivariate
problems | The removal of blur from a signal, in the presence of noise, is readily
accomplished if the blur can be described in precise mathematical terms.
However, there is growing interest in problems where the extent of blur is
known only approximately, for example in terms of a blur function which depends
on unknown parameters that must be computed from data. More challenging still
is the case where no parametric assumptions are made about the blur function.
There has been a limited amount of work in this setting, but it invariably
relies on iterative methods, sometimes under assumptions that are
mathematically convenient but physically unrealistic (e.g., that the operator
defined by the blur function has an integrable inverse). In this paper we
suggest a direct, noniterative approach to nonparametric, blind restoration of
a signal. Our method is based on a new, ridge-based method for deconvolution,
and requires only mild restrictions on the blur function. We show that the
convergence rate of the method is close to optimal, from some viewpoints, and
demonstrate its practical performance by applying it to real images.
| math.ST stat.TH | the removal of blur from a signal in the presence of noise is readily accomplished if the blur can be described in precise mathematical terms however there is growing interest in problems where the extent of blur is known only approximately for example in terms of a blur function which depends on unknown parameters that must be computed from data more challenging still is the case where no parametric assumptions are made about the blur function there has been a limited amount of work in this setting but it invariably relies on iterative methods sometimes under assumptions that are mathematically convenient but physically unrealistic eg that the operator defined by the blur function has an integrable inverse in this paper we suggest a direct noniterative approach to nonparametric blind restoration of a signal our method is based on a new ridgebased method for deconvolution and requires only mild restrictions on the blur function we show that the convergence rate of the method is close to optimal from some viewpoints and demonstrate its practical performance by applying it to real images | [['the', 'removal', 'of', 'blur', 'from', 'a', 'signal', 'in', 'the', 'presence', 'of', 'noise', 'is', 'readily', 'accomplished', 'if', 'the', 'blur', 'can', 'be', 'described', 'in', 'precise', 'mathematical', 'terms', 'however', 'there', 'is', 'growing', 'interest', 'in', 'problems', 'where', 'the', 'extent', 'of', 'blur', 'is', 'known', 'only', 'approximately', 'for', 'example', 'in', 'terms', 'of', 'a', 'blur', 'function', 'which', 'depends', 'on', 'unknown', 'parameters', 'that', 'must', 'be', 'computed', 'from', 'data', 'more', 'challenging', 'still', 'is', 'the', 'case', 'where', 'no', 'parametric', 'assumptions', 'are', 'made', 'about', 'the', 'blur', 'function', 'there', 'has', 'been', 'a', 'limited', 'amount', 'of', 'work', 'in', 'this', 'setting', 'but', 'it', 'invariably', 'relies', 'on', 'iterative', 'methods', 'sometimes', 'under', 'assumptions', 'that', 'are', 'mathematically', 'convenient', 'but', 'physically', 'unrealistic', 'eg', 'that', 'the', 'operator', 'defined', 'by', 'the', 'blur', 'function', 'has', 'an', 'integrable', 'inverse', 'in', 'this', 'paper', 'we', 'suggest', 'a', 'direct', 'noniterative', 'approach', 'to', 'nonparametric', 'blind', 'restoration', 'of', 'a', 'signal', 'our', 'method', 'is', 'based', 'on', 'a', 'new', 'ridgebased', 'method', 'for', 'deconvolution', 'and', 'requires', 'only', 'mild', 'restrictions', 'on', 'the', 'blur', 'function', 'we', 'show', 'that', 'the', 'convergence', 'rate', 'of', 'the', 'method', 'is', 'close', 'to', 'optimal', 'from', 'some', 'viewpoints', 'and', 'demonstrate', 'its', 'practical', 'performance', 'by', 'applying', 'it', 'to', 'real', 'images']] | [-0.0558817164335374, 0.03359415457242802, -0.11011307296446628, 0.06297008858786689, -0.10151534303505387, -0.13918713032423208, 0.025727684726654036, 0.4358018897692091, -0.2793475203849893, -0.29506396057808565, 0.16605904922536058, -0.21316308954264968, -0.1983714369073924, 0.24113035703388352, -0.1699136602666436, 0.06961165045666146, 0.09339926260420017, 0.051036854372877215, -0.09687156760030323, -0.2513239761374684, 0.3225807923357934, 0.03905185777564636, 0.25324960521344714, 0.06062804521934595, 0.14420661715493124, -0.0045537339419954356, -0.038257228878016275, 0.005843058414757252, -0.06411837864644541, 0.08135688759082566, 0.24136739926163703, 0.13678338227974665, 0.30428677355456685, -0.390080196927819, -0.2279008629434328, 0.12429120483252012, 0.1362663343848706, 0.10498595732303026, -0.07447574539538537, -0.2877106187764892, 0.09385428448149469, -0.09343075750706097, -0.06326845298107299, -0.09448210903857317, 0.008512303942633378, -0.009228050298083367, -0.3177305801098959, 0.12076137791284257, 0.07362341625202033, 0.05351385959980285, -0.012269833609591135, -0.10501502417804053, 0.044112355718647855, 0.09566350179310475, 0.07705078788567335, 0.033640460307813355, 0.12016471682064649, -0.1651064332936787, -0.039295534296737364, 0.3925598193215491, -0.036884400403747956, -0.28637758650713496, 0.1809181046219439, -0.11431147870866375, -0.12640131059257934, 0.17013109397246606, 0.13929890306478934, 0.13106422036135984, -0.17841579448237704, 0.10296726444636685, -0.06578710284924859, 0.19071827365227767, 0.07036663773210926, 0.017395133057854967, 0.1490522987377416, 0.17142435353663232, 0.10558739930339571, 0.1252933407577479, -0.09366123353700256, -0.05865865241244642, -0.275182802870404, -0.07442479427489969, -0.25497626361644105, 0.017722580957019493, -0.06632589183961196, -0.17355414571033584, 0.36265175821156137, 0.21673031153623015, 0.207783599907998, 0.015418779804086727, 0.34494379616032045, 0.14801648135568637, 0.0834836734743375, 0.0611323528819614, 0.22834913679738142, 0.06958412274770025, 0.05272654284102221, -0.15713196164126406, 0.126216556732753, 0.003960495508120706] |
710.3479 | Constrained Gauge Fields from Spontaneous Lorentz Violation | Spontaneous Lorentz violation realized through a nonlinear vector field
constraint of the type $A_{\mu}A^{\mu}=M^{2}$ ($M$ is the proposed scale for
Lorentz violation) is shown to generate massless vector Goldstone bosons,
gauging the starting global internal symmetries in arbitrary relativistically
invariant theories. The gauge invariance appears in essence as a necessary
condition for these bosons not to be superfluously restricted in degrees of
freedom, apart from the constraint due to which the true vacuum in a theory is
chosen by the Lorentz violation. In the Abelian symmetry case the only possible
theory proves to be QED with a massless vector Goldstone boson naturally
associated with the photon, while the non-Abelian symmetry case results in a
conventional Yang-Mills theory. These theories, both Abelian and non-Abelian,
look essentially nonlinear and contain particular Lorentz (and $CPT$) violating
couplings when expressed in terms of the pure Goldstone vector modes. However,
they do not lead to physical Lorentz violation due to the simultaneously
generated gauge invariance.
| hep-th hep-ph | spontaneous lorentz violation realized through a nonlinear vector field constraint of the type a_muamum2 m is the proposed scale for lorentz violation is shown to generate massless vector goldstone bosons gauging the starting global internal symmetries in arbitrary relativistically invariant theories the gauge invariance appears in essence as a necessary condition for these bosons not to be superfluously restricted in degrees of freedom apart from the constraint due to which the true vacuum in a theory is chosen by the lorentz violation in the abelian symmetry case the only possible theory proves to be qed with a massless vector goldstone boson naturally associated with the photon while the nonabelian symmetry case results in a conventional yangmills theory these theories both abelian and nonabelian look essentially nonlinear and contain particular lorentz and cpt violating couplings when expressed in terms of the pure goldstone vector modes however they do not lead to physical lorentz violation due to the simultaneously generated gauge invariance | [['spontaneous', 'lorentz', 'violation', 'realized', 'through', 'a', 'nonlinear', 'vector', 'field', 'constraint', 'of', 'the', 'type', 'a_muamum2', 'm', 'is', 'the', 'proposed', 'scale', 'for', 'lorentz', 'violation', 'is', 'shown', 'to', 'generate', 'massless', 'vector', 'goldstone', 'bosons', 'gauging', 'the', 'starting', 'global', 'internal', 'symmetries', 'in', 'arbitrary', 'relativistically', 'invariant', 'theories', 'the', 'gauge', 'invariance', 'appears', 'in', 'essence', 'as', 'a', 'necessary', 'condition', 'for', 'these', 'bosons', 'not', 'to', 'be', 'superfluously', 'restricted', 'in', 'degrees', 'of', 'freedom', 'apart', 'from', 'the', 'constraint', 'due', 'to', 'which', 'the', 'true', 'vacuum', 'in', 'a', 'theory', 'is', 'chosen', 'by', 'the', 'lorentz', 'violation', 'in', 'the', 'abelian', 'symmetry', 'case', 'the', 'only', 'possible', 'theory', 'proves', 'to', 'be', 'qed', 'with', 'a', 'massless', 'vector', 'goldstone', 'boson', 'naturally', 'associated', 'with', 'the', 'photon', 'while', 'the', 'nonabelian', 'symmetry', 'case', 'results', 'in', 'a', 'conventional', 'yangmills', 'theory', 'these', 'theories', 'both', 'abelian', 'and', 'nonabelian', 'look', 'essentially', 'nonlinear', 'and', 'contain', 'particular', 'lorentz', 'and', 'cpt', 'violating', 'couplings', 'when', 'expressed', 'in', 'terms', 'of', 'the', 'pure', 'goldstone', 'vector', 'modes', 'however', 'they', 'do', 'not', 'lead', 'to', 'physical', 'lorentz', 'violation', 'due', 'to', 'the', 'simultaneously', 'generated', 'gauge', 'invariance']] | [-0.14926094972636877, 0.2968108188507364, -0.04420228123828863, 0.10813599630660208, -0.13993570605093766, -0.18314759028964214, 0.006967886303457777, 0.2826621432938033, -0.2243703754571905, -0.26315101724756446, 0.047683839918313396, -0.2086498707696889, -0.10710599000782431, 0.08522683777919614, -0.02242944179301929, 0.06114548759288945, -0.0451907062955763, 0.07678315430621868, -0.08970343482749443, -0.23817805969888498, 0.2882967638349711, -0.00016236856196122536, 0.33088188759584286, 0.040162327342063375, 0.11560943707276089, 0.03720006001739815, -0.0016806661239210164, -0.0028828401411385655, -0.021927473776675057, 0.053014006982586764, 0.20524545474001352, 0.05458788768206752, 0.14111135408001127, -0.40691422444399233, -0.20786340074590262, 0.1398590335142125, 0.11908358820485619, 0.1442778242360976, -0.029662788869028196, -0.359568657837486, 0.05344971970570092, -0.15238457566431765, -0.19274139536966411, -0.13404183426651145, -0.02845022272034519, -0.12740422608535854, -0.3019032149880234, 0.11173872785853609, 0.0592688241733367, 0.05861124113705829, -0.025137079440338432, -0.01198823358892879, -0.06911381492801245, 0.010089282745403185, 0.18420350952396086, 0.053994729084038885, 0.11376137085077383, -0.21335320557949408, -0.15486641744233715, 0.507645040211625, -0.07904490693501613, -0.28385383912520307, 0.17414578818276805, -0.15130975146912648, -0.16635415630939318, 0.1290649111798537, 0.13479622566791358, 0.07528079439499327, -0.13594727594093872, 0.19297057402989412, -0.06908489809424248, 0.12710945239823615, 0.08054036255149792, 0.1019607007433221, 0.2185441975166242, -0.004838027822954944, 0.058281825112952095, 0.08103698494246686, 0.028158465042306145, -0.10774149296185845, -0.4643092423636443, -0.14301767694593975, -0.13649000660164878, 0.13065736175902076, -0.06333792881365446, -0.09998828185624853, 0.35579648441722933, 0.09457561861410292, 0.13518152270559808, 0.011450066223137267, 0.20498740113100167, 0.13219489287746097, 0.14735324282503728, 0.041658241817223954, 0.30781263895567107, 0.1986096655062558, 0.04824973555551198, -0.24593046196127227, -0.08142030401940241, 0.12282196623448915] |
710.348 | Penrose Limits vs String Expansions | We analyse the relation between two a priori quite different expansions of
the string equations of motion and constraints in a general curved background,
namely one based on the covariant Penrose-Fermi expansion of the metric
G_{\mu\nu} around a Penrose limit plane wave associated to a null geodesic
\gamma, and the other on the Riemann coordinate expansion in the exact metric
G_{\mu\nu} of the string embedding variables around the null geodesic \gamma.
Starting with the observation that there is a formal analogy between the exact
string equations in a plane wave and the first order string equations in a
general background, we show that this analogy becomes exact provided that one
chooses the background string configuration to be the null geodesic \gamma
itself. We then explore the higher-order correspondence between these two
expansions and find that for a general curved background they agree to all
orders provided that one works in Fermi coordinates and in the lightcone gauge.
Requiring moreover the conformal gauge restricts one to the usual class of
(Brinkmann) backgrounds admitting simultaneously the lightcone and the
conformal gauge, without further restrictions.
| hep-th gr-qc | we analyse the relation between two a priori quite different expansions of the string equations of motion and constraints in a general curved background namely one based on the covariant penrosefermi expansion of the metric g_munu around a penrose limit plane wave associated to a null geodesic gamma and the other on the riemann coordinate expansion in the exact metric g_munu of the string embedding variables around the null geodesic gamma starting with the observation that there is a formal analogy between the exact string equations in a plane wave and the first order string equations in a general background we show that this analogy becomes exact provided that one chooses the background string configuration to be the null geodesic gamma itself we then explore the higherorder correspondence between these two expansions and find that for a general curved background they agree to all orders provided that one works in fermi coordinates and in the lightcone gauge requiring moreover the conformal gauge restricts one to the usual class of brinkmann backgrounds admitting simultaneously the lightcone and the conformal gauge without further restrictions | [['we', 'analyse', 'the', 'relation', 'between', 'two', 'a', 'priori', 'quite', 'different', 'expansions', 'of', 'the', 'string', 'equations', 'of', 'motion', 'and', 'constraints', 'in', 'a', 'general', 'curved', 'background', 'namely', 'one', 'based', 'on', 'the', 'covariant', 'penrosefermi', 'expansion', 'of', 'the', 'metric', 'g_munu', 'around', 'a', 'penrose', 'limit', 'plane', 'wave', 'associated', 'to', 'a', 'null', 'geodesic', 'gamma', 'and', 'the', 'other', 'on', 'the', 'riemann', 'coordinate', 'expansion', 'in', 'the', 'exact', 'metric', 'g_munu', 'of', 'the', 'string', 'embedding', 'variables', 'around', 'the', 'null', 'geodesic', 'gamma', 'starting', 'with', 'the', 'observation', 'that', 'there', 'is', 'a', 'formal', 'analogy', 'between', 'the', 'exact', 'string', 'equations', 'in', 'a', 'plane', 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710.3481 | Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a
Paley-Wiener theorem for the windowed Fourier transform | The images of Hermite and Laguerre Sobolev spaces under the Hermite and
special Hermite semigroups (respectively) are characterised. These are used to
characterise the Schwartz class of rapidly decreasing functions. The image of
the space of all tempered distributions is also considered and a Paley-Wiener
theorem for the windowed Fourier transform is proved.
| math.FA | the images of hermite and laguerre sobolev spaces under the hermite and special hermite semigroups respectively are characterised these are used to characterise the schwartz class of rapidly decreasing functions the image of the space of all tempered distributions is also considered and a paleywiener theorem for the windowed fourier transform is proved | [['the', 'images', 'of', 'hermite', 'and', 'laguerre', 'sobolev', 'spaces', 'under', 'the', 'hermite', 'and', 'special', 'hermite', 'semigroups', 'respectively', 'are', 'characterised', 'these', 'are', 'used', 'to', 'characterise', 'the', 'schwartz', 'class', 'of', 'rapidly', 'decreasing', 'functions', 'the', 'image', 'of', 'the', 'space', 'of', 'all', 'tempered', 'distributions', 'is', 'also', 'considered', 'and', 'a', 'paleywiener', 'theorem', 'for', 'the', 'windowed', 'fourier', 'transform', 'is', 'proved']] | [-0.05757952333902413, 0.111960505223218, -0.09783259749342248, 0.1822070760239478, -0.06587679916114178, -0.06798427721995087, -0.06656713052740637, 0.4193746166409187, -0.33494887922732336, -0.11181332627838513, 0.14190632896058542, -0.24765522551793112, -0.11545076418035435, 0.2666581761583967, -0.12083700631376144, 0.157541844607243, 0.014228041648407871, -0.007823172280178318, -0.1499124066588438, -0.28565841317281154, 0.3711404352677318, -0.014437452714257646, 0.24717319357859077, -0.07966736152895533, 0.07337504105185563, -0.015735309079214204, -0.1352376626927476, -0.1265241536668739, -0.11630269466846618, 0.12822965669603842, 0.28217475568735095, 0.10586868854731603, 0.2860913212885553, -0.33439157207338316, -0.17119387080365756, 0.19731691059709158, 0.12538457371927095, -0.09729993329295572, -0.0021407568282535614, -0.34953942388858433, 0.058093410450965166, -0.07625886833049217, -0.13860259435297745, -0.16409437635140317, 0.017540584100884788, 0.16343927299076655, -0.3310914498947139, 0.08122108080193734, 0.14596656197682023, 0.03098171207842962, -0.08091653850948755, -0.12826512644137694, -0.046908190588132954, 0.04000512673080249, 0.00198382978274856, 0.032739859091926296, 0.05684667372338052, -0.08000747957881892, -0.0510792543338436, 0.36794570896704243, -0.023288231799906155, -0.2817271132865604, 0.11611966063040045, -0.24152305012322822, -0.14173619960487452, 0.1345970936334815, 0.10547302733614759, 0.1646907339751158, -0.08451315082328499, 0.14478554323267298, -0.0500201907817204, 0.05288241424088208, 0.20095257636792255, 0.0870989565825406, 0.046894855937867796, 0.03234010395365504, 0.05898943353655203, 0.2055687713524643, -0.08139777854787854, -0.09468218650260307, -0.2971556249935672, -0.2335113244623227, -0.2554790661428651, 0.0006738043267209574, -0.15310030529755475, -0.23122781638126327, 0.4068429162110782, 0.03155191648171617, 0.12255612029781882, 0.14074643077504523, 0.14206246406121073, 0.18513207296612408, 0.0351686525984474, 0.047609950433362205, 0.11844205856762545, 0.23018196393858711, 0.10637809615582228, -0.09468128925347526, -0.021865984512809314, 0.2204451862687491] |
710.3482 | A generalization of the Ginzburg-Landau theory to p-wave superconductors | We succeed to build up a straightforward theoretical model for spin-triplet
p-wave superconductors by introducing in Ginzburg-Landau theory a second order
parameter and a suitable interaction between the two mean fields.
| cond-mat.supr-con hep-ph | we succeed to build up a straightforward theoretical model for spintriplet pwave superconductors by introducing in ginzburglandau theory a second order parameter and a suitable interaction between the two mean fields | [['we', 'succeed', 'to', 'build', 'up', 'a', 'straightforward', 'theoretical', 'model', 'for', 'spintriplet', 'pwave', 'superconductors', 'by', 'introducing', 'in', 'ginzburglandau', 'theory', 'a', 'second', 'order', 'parameter', 'and', 'a', 'suitable', 'interaction', 'between', 'the', 'two', 'mean', 'fields']] | [-0.18727901062717842, 0.18695171444766945, -0.0779408140768928, 0.11748230301084057, -0.12975565049677126, -0.18711205609443207, 0.12742856036375969, 0.3437226201077142, -0.20536030792901594, -0.29813254991125676, -0.06353767166635202, -0.2567289882609921, -0.11667016109511737, 0.13100795302870533, 0.06747408100073377, 0.08229900734318842, -0.07432657798692104, 0.023749724496155977, -0.11808288283646107, -0.23713051203277805, 0.3709964551362059, -0.0789814452310243, 0.2636659240290042, 0.062109791639921884, 0.04005317738459956, -0.023610797485396746, 0.10037472868157972, 0.02721472506621672, -0.17973282046976588, 0.16742013307708886, 0.25649600184800464, -0.06661293283104897, 0.2802803754325836, -0.45529593743624225, -0.283604898730353, 0.06900381926266898, 0.10784158050533264, 0.16581074526954082, -0.028242488601996053, -0.31553113196165333, 0.06114942907926536, -0.24473667150783923, -0.15479497446288024, -0.1642816192921131, -0.0004161312995899108, -0.03984786679727897, -0.3388808331181926, 0.0980081384580943, 0.035582299047570314, 0.07642524926773002, -0.03620293653840499, -0.039726873859763145, 0.04483987192713445, 0.01855487017441661, 0.04617182849981492, 0.09557283817670278, 0.002663842116993281, -0.16139805518210895, -0.09820621654451374, 0.3509694439989905, -0.11596033166748501, -0.1851117248016019, 0.11509372651456826, -0.05265837212303473, -0.07083725691923211, 0.09265406955514223, 0.13632702635180566, 0.0980513111477898, -0.17088055409370892, 0.07719699377306707, 0.016498001833115856, 0.1590936800705329, -0.007237039596563385, -0.03214010234261232, 0.20239068994358664, 0.21522503147923178, 0.04579283005648082, 0.10140439412826972, -0.07268696692922423, -0.11391369469704167, -0.35621139623465076, -0.16706318143875368, -0.1625953971468393, -0.009036110008075353, -0.08398484151703381, -0.1346629997715354, 0.3950701805973245, 0.21715460819823126, 0.2345392109315482, 0.004617031423314925, 0.27357133550028645, 0.10394730743381285, 0.06176169691306929, 0.0018920019689586856, 0.2407062989509394, 0.20848153526293894, 0.04873280822029037, -0.21134438573837191, -0.002111762957347016, 0.08638774071850124] |
710.3483 | On Dimensional Analysis, Redundancy in set of fundamental quantities and
Proposal of a New Set | Inclusion of redundant fundamental quantities in SI system has resulted in
lot of ambiguities and confusion in modern theories. The incompatibilities
between the existing theories can possibly be due to incorrect assumption of
fundamental quantities and existence of newer fundamental quantities. This
paper is an attempt to eliminate the redundancy in the SI system using random
mathematical mappings done through a computer program on SI system to New
System. Each mathematical mapping is studied manually. Out of 1000 random
mathematical mappings generated using a Computer Program, a mapping with three
fundamental quantities is found to describe a non-redundant and intuitive set
of Fundamental quantities. This paper also proposes the possible existence of a
new fundamental quantity. A significant attempt is made to understand the
advantages of new system over SI system. The relations between the set {Mass,
length, time, current, and temperature} and new set of three fundamental
quantities are calculated. The paper also describes the intuitive reasons
favoring the new fundamental set of quantities.
| physics.gen-ph | inclusion of redundant fundamental quantities in si system has resulted in lot of ambiguities and confusion in modern theories the incompatibilities between the existing theories can possibly be due to incorrect assumption of fundamental quantities and existence of newer fundamental quantities this paper is an attempt to eliminate the redundancy in the si system using random mathematical mappings done through a computer program on si system to new system each mathematical mapping is studied manually out of 1000 random mathematical mappings generated using a computer program a mapping with three fundamental quantities is found to describe a nonredundant and intuitive set of fundamental quantities this paper also proposes the possible existence of a new fundamental quantity a significant attempt is made to understand the advantages of new system over si system the relations between the set mass length time current and temperature and new set of three fundamental quantities are calculated the paper also describes the intuitive reasons favoring the new fundamental set of quantities | [['inclusion', 'of', 'redundant', 'fundamental', 'quantities', 'in', 'si', 'system', 'has', 'resulted', 'in', 'lot', 'of', 'ambiguities', 'and', 'confusion', 'in', 'modern', 'theories', 'the', 'incompatibilities', 'between', 'the', 'existing', 'theories', 'can', 'possibly', 'be', 'due', 'to', 'incorrect', 'assumption', 'of', 'fundamental', 'quantities', 'and', 'existence', 'of', 'newer', 'fundamental', 'quantities', 'this', 'paper', 'is', 'an', 'attempt', 'to', 'eliminate', 'the', 'redundancy', 'in', 'the', 'si', 'system', 'using', 'random', 'mathematical', 'mappings', 'done', 'through', 'a', 'computer', 'program', 'on', 'si', 'system', 'to', 'new', 'system', 'each', 'mathematical', 'mapping', 'is', 'studied', 'manually', 'out', 'of', '1000', 'random', 'mathematical', 'mappings', 'generated', 'using', 'a', 'computer', 'program', 'a', 'mapping', 'with', 'three', 'fundamental', 'quantities', 'is', 'found', 'to', 'describe', 'a', 'nonredundant', 'and', 'intuitive', 'set', 'of', 'fundamental', 'quantities', 'this', 'paper', 'also', 'proposes', 'the', 'possible', 'existence', 'of', 'a', 'new', 'fundamental', 'quantity', 'a', 'significant', 'attempt', 'is', 'made', 'to', 'understand', 'the', 'advantages', 'of', 'new', 'system', 'over', 'si', 'system', 'the', 'relations', 'between', 'the', 'set', 'mass', 'length', 'time', 'current', 'and', 'temperature', 'and', 'new', 'set', 'of', 'three', 'fundamental', 'quantities', 'are', 'calculated', 'the', 'paper', 'also', 'describes', 'the', 'intuitive', 'reasons', 'favoring', 'the', 'new', 'fundamental', 'set', 'of', 'quantities']] | [-0.13230273368006404, 0.07105923351826443, -0.06857723404625149, 0.049936087854263005, -0.08147759351202033, -0.12119887105443261, 0.06978505355602299, 0.3218215716325424, -0.30773965358508354, -0.31721846442105195, 0.07562288161028516, -0.25038411753026374, -0.162565467460081, 0.21218905091095208, -0.10524663541917548, 0.07969581016593359, 0.03542784360152754, 0.010811107165434144, -0.07908001351346629, -0.21612709390676835, 0.3381523900679454, 0.05025589186980417, 0.2646686665770231, 0.057274335498611134, 0.11202310835854433, -0.027189986989127866, -0.07491492053888964, 0.041583471638009406, -0.12238002484382102, 0.15531205642178203, 0.24407836578955705, 0.18408452840521933, 0.2783483305974214, -0.4198946152446848, -0.19897414413704115, 0.09205895560991131, 0.11873034602242775, 0.11652408992363648, -0.01983337288680063, -0.24379566915220383, 0.04861722147995324, -0.13708245222541418, -0.11184283671053973, -0.08189926484430378, 0.050551745605965454, -0.015466623335625186, -0.2085803855379874, 0.027516086159316316, 0.028387200606591775, 0.10191614003005353, -0.02190240347955489, -0.12011391881881564, 0.014260888686685852, 0.17571433390857596, 0.06080653294638702, 0.03214049117752549, 0.10480976345751322, -0.07815769582027288, -0.11635894730235591, 0.40779195084716335, -0.011040273091445367, -0.198782570908467, 0.23372922098461651, -0.09340195601072275, -0.16837974071897793, 0.10397643922179034, 0.1637558595559588, 0.07367423057836607, -0.23606032710522412, 0.07594922736788055, -0.04293026109084939, 0.2084743061582699, 0.04873896695701688, 0.07131463312402819, 0.2668524984608997, 0.16934332086732892, 0.014833647182041948, 0.11586290677713061, -0.024354524583075986, -0.08396411009845466, -0.32637728993696247, -0.17915188430836707, -0.14006494344212114, 0.03202931179566253, -0.07707716079497583, -0.1567688998850909, 0.3866090631394675, 0.2027930782515217, 0.15406788616215414, 0.009896321317434988, 0.2905098409533049, 0.10341658663660795, 0.05882026779775818, 0.027076382410119882, 0.20893819777464326, 0.14020857426380232, 0.09315754081701126, -0.17461639979332122, 0.07022676400162957, 0.07483322561408083] |
710.3484 | Hidden multiferroic order in graphene zigzag ribbons | The insulating magnetic phase in graphene zigzag ribbons, predicted both by
density functional and mean field Hubbard model calculations, is described
without additional approximations with a BCS wave function of two phase-locked
condensates of spin-polarized electron-hole pairs. The associated order
parameter is the spin dipole operator that features both magnetic and electric
order and accounts for the spin-resolved ferroelectricity of the system. Each
condensate is associated to a spin-dependent dipole and their relative phase
locking sets the total electric dipole and total magnetization equal to zero.
| cond-mat.str-el cond-mat.mes-hall | the insulating magnetic phase in graphene zigzag ribbons predicted both by density functional and mean field hubbard model calculations is described without additional approximations with a bcs wave function of two phaselocked condensates of spinpolarized electronhole pairs the associated order parameter is the spin dipole operator that features both magnetic and electric order and accounts for the spinresolved ferroelectricity of the system each condensate is associated to a spindependent dipole and their relative phase locking sets the total electric dipole and total magnetization equal to zero | [['the', 'insulating', 'magnetic', 'phase', 'in', 'graphene', 'zigzag', 'ribbons', 'predicted', 'both', 'by', 'density', 'functional', 'and', 'mean', 'field', 'hubbard', 'model', 'calculations', 'is', 'described', 'without', 'additional', 'approximations', 'with', 'a', 'bcs', 'wave', 'function', 'of', 'two', 'phaselocked', 'condensates', 'of', 'spinpolarized', 'electronhole', 'pairs', 'the', 'associated', 'order', 'parameter', 'is', 'the', 'spin', 'dipole', 'operator', 'that', 'features', 'both', 'magnetic', 'and', 'electric', 'order', 'and', 'accounts', 'for', 'the', 'spinresolved', 'ferroelectricity', 'of', 'the', 'system', 'each', 'condensate', 'is', 'associated', 'to', 'a', 'spindependent', 'dipole', 'and', 'their', 'relative', 'phase', 'locking', 'sets', 'the', 'total', 'electric', 'dipole', 'and', 'total', 'magnetization', 'equal', 'to', 'zero']] | [-0.2334413130789302, 0.21635851682012164, -0.008308064175612662, 0.08106437251702774, -0.02807627042936876, -0.11336549923776887, 0.059856481568584606, 0.41432813308093436, -0.22369444739550007, -0.28998054156274816, -0.0504130614924158, -0.3127992270232806, -0.10104928878244272, 0.11017345258597891, 0.0940877006871106, 0.041654138186903195, -0.04418494999083842, 0.002372041785937929, -0.11007675200126806, -0.1778641159694945, 0.28586698894194046, -0.04362134402617812, 0.3000870469719345, 0.094504076540795, 0.061355541476460045, 0.013577188963482027, 0.11667660178703278, 0.03818781982544203, -0.10360691388623944, 0.06686069427848641, 0.17476955504930947, -0.13541757907761737, 0.1975212065329732, -0.4834751163414398, -0.15237607496119168, 0.05037774231222588, 0.11899098977013382, 0.1604495442169177, 0.004067880004037952, -0.3128669409102999, 0.02048561711210844, -0.17977549786527836, -0.13676885942397857, -0.13774095717167786, 0.002356482535698126, 0.056228214149298364, -0.3170141797231207, 0.11135711563956859, 0.04618181699528535, 0.046790680146101334, -0.15390404658716952, -0.13506537582048453, -0.14082464902813352, 0.025030264490132414, 0.06374008301239417, 0.1143001398439844, 0.18260213693733826, -0.1520644258382882, -0.11990443140073398, 0.3437007204629481, -0.09115702885224722, -0.1241605099247292, 0.09278187253729028, -0.2090119424839179, 0.026915689258901185, 0.19700485067225473, 0.0774610405896119, 0.06845650551190903, -0.14957658498179774, 0.07930173149522256, 0.014374805423654453, 0.15998280253586208, 0.046676593312863696, 0.06961436960088133, 0.29795337251799053, 0.13504746747961224, 0.08024725166885832, 0.11567174927006628, -0.15237311301021944, -0.07854026174281052, -0.2682397926637773, -0.12850823315661833, -0.2403759878388671, 0.007676202712308474, -0.08128831397960651, -0.2105576428476461, 0.44625915951896894, 0.13110011015737125, 0.13597042260821476, -0.06146966003228065, 0.3191078353380828, 0.18862308114550488, 0.05478566772098718, 0.020713299767352467, 0.2141592385420619, 0.2540462436316925, 0.09351263838538597, -0.33554226696913586, 0.030924045540349082, 0.048860979120268724] |
710.3485 | Symmetry of $osp(m|n)$ spin Calogero-Sutherland models | We introduce osp(m|n) spin Calogero-Sutherland models and find that the
models have the symmetry of osp(m|n) half-loop algebra or Yangian of osp(m|n)
if and only if the coupling constant of the model equals to 2/(m-n-4).
| nlin.SI | we introduce ospmn spin calogerosutherland models and find that the models have the symmetry of ospmn halfloop algebra or yangian of ospmn if and only if the coupling constant of the model equals to 2mn4 | [['we', 'introduce', 'ospmn', 'spin', 'calogerosutherland', 'models', 'and', 'find', 'that', 'the', 'models', 'have', 'the', 'symmetry', 'of', 'ospmn', 'halfloop', 'algebra', 'or', 'yangian', 'of', 'ospmn', 'if', 'and', 'only', 'if', 'the', 'coupling', 'constant', 'of', 'the', 'model', 'equals', 'to', '2mn4']] | [-0.13491101595847046, 0.1718399108058828, -0.015567477518583046, 0.016201926148770487, -0.08514589147970957, -0.23042838028906024, -0.02425514588899472, 0.34771809989915176, -0.288345273145858, -0.22254061271600864, 0.1136431938776856, -0.24932948757401285, -0.1602642814806827, 0.10253908376976409, -0.007822105852777468, -0.06427448087454062, 0.02939105433795382, 0.10883791832362905, -0.13444886270992676, -0.22678131113678, 0.36071632109472856, -0.013406197923947783, 0.2296658618211308, 0.05566702218835845, 0.1881919765351888, 0.014733395539224148, 0.09941057756762295, -0.08253361602478168, -0.14622156761063654, 0.08977544644628377, 0.14138530521685264, 0.07089454371153432, 0.136687451370937, -0.41214647522086606, -0.13252417348763523, 0.17434897218995235, 0.14735944130841425, 0.1053258372566608, 0.013874043587266523, -0.22609049728249803, 0.05994089911965763, -0.2604003510273555, -0.11817741200245697, -0.09648483561571031, 0.05894929175402092, -0.040552520001416695, -0.22206395587829106, 0.10614089886931811, 0.11213084584896398, 0.04806842512505896, -0.08131631785620223, -0.12058913025676328, -0.1566039111246081, 0.0593257179716602, 0.055980959328521485, -0.0062504601117004364, 0.06072759606724824, -0.1843316226321108, -0.17498436856412275, 0.39059619463103656, -0.05394135525121408, -0.2581083856742172, 0.13132517421892023, -0.18274064553791985, -0.16523204652099488, 0.002859179040088373, 0.10208385070676312, 0.09154944464235622, -0.0550360000856659, 0.21456250263145193, -0.10546425697119798, 0.12529006622293415, 0.010268732932779719, 0.005423793802037835, 0.19473900202223482, 0.05947594892452745, 0.0021906200152657486, 0.10389216687968549, -0.023824754554559204, -0.04127986172491493, -0.306141680216088, -0.1405430794967448, -0.12658605001428547, 0.08307854409384377, -0.08504573781615096, -0.15786174320451477, 0.39430842537652044, 0.19817616297479937, 0.1578541537746787, 0.11215235131299671, 0.1839042257736711, 0.15609909205094857, 0.16510302771348506, 0.0755152024109574, 0.22825290438006907, 0.20756455034236698, -0.02851206303902847, -0.24140702786526697, -0.013364655417664087, 0.13879860780092285] |
710.3486 | Smooth crossing of $w_{\Lambda} = -1$ line in a single scalar field
model | Smooth double crossing of the phantom divide line $w_{\Lambda}=-1$ has been
found possible with a single minimally coupled scalar field for the most simple
form of generalized k-essence cosmological model, in the presence of background
cold dark matter. Such crossing is a sufficiently late time transient phenomena
and does not have any pathological behaviour.
| astro-ph | smooth double crossing of the phantom divide line w_lambda1 has been found possible with a single minimally coupled scalar field for the most simple form of generalized kessence cosmological model in the presence of background cold dark matter such crossing is a sufficiently late time transient phenomena and does not have any pathological behaviour | [['smooth', 'double', 'crossing', 'of', 'the', 'phantom', 'divide', 'line', 'w_lambda1', 'has', 'been', 'found', 'possible', 'with', 'a', 'single', 'minimally', 'coupled', 'scalar', 'field', 'for', 'the', 'most', 'simple', 'form', 'of', 'generalized', 'kessence', 'cosmological', 'model', 'in', 'the', 'presence', 'of', 'background', 'cold', 'dark', 'matter', 'such', 'crossing', 'is', 'a', 'sufficiently', 'late', 'time', 'transient', 'phenomena', 'and', 'does', 'not', 'have', 'any', 'pathological', 'behaviour']] | [-0.15443329448990645, 0.14005815574071473, -0.11938473854765848, 0.0754417609531191, -0.15744864869931782, -0.22882840604762789, -0.08964049869596406, 0.300719012816747, -0.1663716103885909, -0.3028025202220306, 0.024318844293399405, -0.2300932902187385, -0.12027064217599454, 0.15583104412157642, 0.0032894456569381334, 0.0036920364019116044, -0.007784244660460563, 0.10939982971521439, -0.0069477526585278275, -0.25083528522884957, 0.31551944432754275, -0.005326734517304295, 0.22553346759674173, 0.023341577620831905, 0.07955036765930278, -0.03971663173460574, 0.023190213858874306, 0.056686642684562014, -0.1481282649975684, -0.0735740067989186, 0.19703802621612945, 0.12146154794134889, 0.24674022387868413, -0.4530725898911004, -0.3104160195733938, 0.2564794293570298, 0.18881625814915257, 0.12155325996206591, -0.09398004069441447, -0.2454796798389267, 0.03971602639217896, -0.15670581900135236, -0.15579987883015914, -0.022739435671138817, 0.00081033415928552, -0.014021675826774703, -0.20531928616024, 0.1206766756216961, -0.013052384645022728, -0.030011557628987013, -0.05838249694055843, -0.011379169696872984, -0.024453919950044818, 0.03277079555792389, 0.06213453587541288, 0.019702912541106343, 0.13934718727789544, -0.21730978256608877, -0.07641579457601809, 0.40046436677652375, -0.14003690389088458, -0.16302505921986368, 0.20134175156622572, -0.15736073274941495, -0.14152941463032254, 0.21822332663254607, 0.07887841202318668, 0.11616639310011158, -0.12044831539538724, 0.16953630374929937, -0.022070048618371838, 0.15222115111019877, 0.09740929319350808, -0.03499864152184239, 0.33056478374810133, 0.13273171654522972, -0.020459148045456794, 0.07645285089879676, -0.10800222017698818, -0.10048301078279985, -0.3585057571116421, -0.15320252572376006, -0.11589319382673474, 0.0677194838561398, -0.10440458053765017, -0.2443954227147279, 0.375058855477686, 0.020128631567651475, 0.1796928060810185, 0.00864005089668488, 0.26921325556381986, 0.09838417326143288, 0.05185803148843762, 0.06254554076844619, 0.2768986547469265, 0.10256009241910996, 0.10059995352532025, -0.2266824044485542, 0.013318603953208637, -0.033763639637510535] |
710.3487 | Decoherence of nuclear spins due to direct dipole-dipole interactions
probed by resistively detected nuclear magnetic resonance | We study decoherence of nuclear spins in a GaAs quantum well structure using
resistively detected nuclear magnetic resonance. The transverse decoherence
time T2 of 75As nuclei is estimated from Rabi-type coherent oscillations as
well as by using spin-echo techniques. By analyzing T2 obtained by decoupling
techniques, we extract the role of dipole-dipole interactions as sources of
decoherence in GaAs. Under the condition that the device is tilted in an
external magnetic field, we exhibit enhanced decoherence induced by the change
in strength of the direct dipole-dipole interactions between first
nearest-neighbor nuclei. The results agree well with simple numerical
calculations.
| cond-mat.mes-hall | we study decoherence of nuclear spins in a gaas quantum well structure using resistively detected nuclear magnetic resonance the transverse decoherence time t2 of 75as nuclei is estimated from rabitype coherent oscillations as well as by using spinecho techniques by analyzing t2 obtained by decoupling techniques we extract the role of dipoledipole interactions as sources of decoherence in gaas under the condition that the device is tilted in an external magnetic field we exhibit enhanced decoherence induced by the change in strength of the direct dipoledipole interactions between first nearestneighbor nuclei the results agree well with simple numerical calculations | [['we', 'study', 'decoherence', 'of', 'nuclear', 'spins', 'in', 'a', 'gaas', 'quantum', 'well', 'structure', 'using', 'resistively', 'detected', 'nuclear', 'magnetic', 'resonance', 'the', 'transverse', 'decoherence', 'time', 't2', 'of', '75as', 'nuclei', 'is', 'estimated', 'from', 'rabitype', 'coherent', 'oscillations', 'as', 'well', 'as', 'by', 'using', 'spinecho', 'techniques', 'by', 'analyzing', 't2', 'obtained', 'by', 'decoupling', 'techniques', 'we', 'extract', 'the', 'role', 'of', 'dipoledipole', 'interactions', 'as', 'sources', 'of', 'decoherence', 'in', 'gaas', 'under', 'the', 'condition', 'that', 'the', 'device', 'is', 'tilted', 'in', 'an', 'external', 'magnetic', 'field', 'we', 'exhibit', 'enhanced', 'decoherence', 'induced', 'by', 'the', 'change', 'in', 'strength', 'of', 'the', 'direct', 'dipoledipole', 'interactions', 'between', 'first', 'nearestneighbor', 'nuclei', 'the', 'results', 'agree', 'well', 'with', 'simple', 'numerical', 'calculations']] | [-0.14813507902859288, 0.2331083795219493, -0.02430785621041338, 0.0882260841811358, 0.024545414843643556, -0.13151150160572594, 0.012387343609442164, 0.4177091925621334, -0.24582615708744135, -0.29587504935610776, -0.009705083322419662, -0.28315209751628867, -0.09658764342241215, 0.2432642817906471, 0.07835473925947692, -4.126713846368019e-06, 0.009294778212077089, 0.003959387329153039, -0.09289824265299948, -0.16359053961133038, 0.29630123845973605, 0.08435733707955653, 0.2541998228754359, 0.0796295948711111, 0.04691249334413295, 0.07234688214675496, 0.07607085012708499, 0.009687414289348655, -0.11726659548289856, 0.01486457357032582, 0.22766292033566518, -0.011971286667341536, 0.17238587109287354, -0.49190709525437065, -0.20104449120999285, 0.03028747652224594, 0.16155940317460618, 0.19275996233854029, -0.08246349958194928, -0.3574139357666777, 1.5388746190853792e-05, -0.1701239330430675, -0.11109617495946962, -0.13030732793714664, -0.02611846298407387, 0.06011213746740285, -0.24942294244167648, 0.16930377957495776, 0.08002065346374017, 0.1284958781183414, -0.09228374503289509, -0.06437665736773099, 0.03341791703368095, 0.10344412787629273, 0.06746660520538988, 0.0578277638544225, 0.2568767228953992, -0.09525078338937777, -0.19028684623878112, 0.31825254092726746, -0.11604215730583728, -0.08962023011738002, 0.12386588367628817, -0.16889720054512675, -0.06660500742175211, 0.12324362307918643, 0.1098387063542061, 0.11777430885786548, -0.15987815150127963, 0.07947603340326535, 0.03195536199185734, 0.17251651362995757, 0.033052452924576675, 0.10020616150583432, 0.16226252348096382, 0.18426624284774967, 0.011528664925888256, 0.14872230782944973, -0.15297880066521088, -0.08531625623429062, -0.26335222131074076, -0.0553652218477142, -0.2401103683079433, 0.12628907166101566, -0.053609947987651035, -0.08635387472711936, 0.3647132326209109, 0.0839986830874525, 0.19502055568789894, -0.08309248857425922, 0.31007477686260687, 0.08890878170319466, 0.09362277600236914, 0.00015787147173676827, 0.306901260695392, 0.26469170196790887, 0.046372814386179954, -0.38316764365975753, 0.03525878088736926, -0.014005054362268761] |
710.3488 | Microwave vortex dynamics in Tl-2212 thin films | We present measurements of the effective surface impedance changes due to a
static magnetic field, $\Delta Z(H,T)=\Delta R(H,T)+\rmi \Delta X(H,T)$, in a
Tl-2212 thin film with $T_c>$ 103 K, grown on a CeO$_2$ buffered sapphire
substrate. Measurements were performed through a dielectric resonator operating
at 47.7 GHz, for temperatures 60 K$\leq T<T_c$ and magnetic fields $\leq0.8$ T.
We observe exceptionally large field induced variations and pronounced
super-linear field dependencies in both $\Delta R(H)$ and $\Delta X(H)$ with
$\Delta X(H)>\Delta R(H)$ in almost the whole $(H,T)$ range explored. A careful
analysis of the data allows for an interpretation of these results as dominated
by vortex dynamics. In the intermediate-high field range we extract the main
vortex parameters by resorting to standard high frequency model and by taking
into proper account the creep contribution. The pinning constant shows a marked
decrease with the field which can be interpreted in terms of flux lines
softening associated to an incipient layer decoupling. Small vortex viscosity,
by an order of magnitude lower than in Y-123 are found. Some speculations about
these findings are provided.
| cond-mat.supr-con | we present measurements of the effective surface impedance changes due to a static magnetic field delta zhtdelta rhtrmi delta xht in a tl2212 thin film with t_c 103 k grown on a ceo_2 buffered sapphire substrate measurements were performed through a dielectric resonator operating at 477 ghz for temperatures 60 kleq tt_c and magnetic fields leq08 t we observe exceptionally large field induced variations and pronounced superlinear field dependencies in both delta rh and delta xh with delta xhdelta rh in almost the whole ht range explored a careful analysis of the data allows for an interpretation of these results as dominated by vortex dynamics in the intermediatehigh field range we extract the main vortex parameters by resorting to standard high frequency model and by taking into proper account the creep contribution the pinning constant shows a marked decrease with the field which can be interpreted in terms of flux lines softening associated to an incipient layer decoupling small vortex viscosity by an order of magnitude lower than in y123 are found some speculations about these findings are provided | [['we', 'present', 'measurements', 'of', 'the', 'effective', 'surface', 'impedance', 'changes', 'due', 'to', 'a', 'static', 'magnetic', 'field', 'delta', 'zhtdelta', 'rhtrmi', 'delta', 'xht', 'in', 'a', 'tl2212', 'thin', 'film', 'with', 't_c', '103', 'k', 'grown', 'on', 'a', 'ceo_2', 'buffered', 'sapphire', 'substrate', 'measurements', 'were', 'performed', 'through', 'a', 'dielectric', 'resonator', 'operating', 'at', '477', 'ghz', 'for', 'temperatures', '60', 'kleq', 'tt_c', 'and', 'magnetic', 'fields', 'leq08', 't', 'we', 'observe', 'exceptionally', 'large', 'field', 'induced', 'variations', 'and', 'pronounced', 'superlinear', 'field', 'dependencies', 'in', 'both', 'delta', 'rh', 'and', 'delta', 'xh', 'with', 'delta', 'xhdelta', 'rh', 'in', 'almost', 'the', 'whole', 'ht', 'range', 'explored', 'a', 'careful', 'analysis', 'of', 'the', 'data', 'allows', 'for', 'an', 'interpretation', 'of', 'these', 'results', 'as', 'dominated', 'by', 'vortex', 'dynamics', 'in', 'the', 'intermediatehigh', 'field', 'range', 'we', 'extract', 'the', 'main', 'vortex', 'parameters', 'by', 'resorting', 'to', 'standard', 'high', 'frequency', 'model', 'and', 'by', 'taking', 'into', 'proper', 'account', 'the', 'creep', 'contribution', 'the', 'pinning', 'constant', 'shows', 'a', 'marked', 'decrease', 'with', 'the', 'field', 'which', 'can', 'be', 'interpreted', 'in', 'terms', 'of', 'flux', 'lines', 'softening', 'associated', 'to', 'an', 'incipient', 'layer', 'decoupling', 'small', 'vortex', 'viscosity', 'by', 'an', 'order', 'of', 'magnitude', 'lower', 'than', 'in', 'y123', 'are', 'found', 'some', 'speculations', 'about', 'these', 'findings', 'are', 'provided']] | [-0.1717339725792408, 0.20065013690943098, -0.023384329531607885, -0.00014973618622337069, -0.045660902905677044, -0.1265877249517611, 0.07369662724036191, 0.3980923992927585, -0.22857306198882205, -0.35133249741313716, 0.05800715371775108, -0.280223465744223, -0.05026230106928519, 0.20527545290999114, 0.016633212443308107, -0.005238374127075076, -0.016340674917612756, -0.014622642545894321, -0.07398872783673661, -0.17796035584195383, 0.2569169161827969, 0.030400336560394082, 0.2741239998569446, 0.08293568293430975, 0.048386052256849194, -0.04138809992798737, 0.0265463104005903, 0.0775241575443319, -0.1847215078039361, 0.007309376482693811, 0.2312807862061475, -0.04597101830212133, 0.20789218681465302, -0.4315878055324512, -0.22862865045134512, 0.04352210825841342, 0.13116848855412433, 0.06249520766083151, -0.034138971426790315, -0.25681977286934854, 0.09017633960183177, -0.08557870439120702, -0.1367561668370451, -0.05847762450575829, 0.021160381088432458, -0.0006925191381014883, -0.27339779242241224, 0.10051883037784137, 0.06054609037154088, 0.12515048025974204, -0.08535752327613799, -0.14997673622731653, -0.049840453957939256, 0.039468355734965634, 0.06178404576810343, 0.10452682240200895, 0.16497193091016796, -0.12230788351236177, -0.0414730299556894, 0.32791475819423793, -0.13013934616240605, -0.08033171290265663, 0.14445357194569494, -0.18076683881027358, -0.06797297449932167, 0.1969323889259249, 0.12801462805164712, 0.10036722911854408, -0.1274828289628827, 0.06327972713192659, 0.03356757852115801, 0.21173174139777465, 0.10164026358297892, 0.01708080342172512, 0.20635685077203172, 0.1800729191303253, 0.0076400168133633475, 0.13182812554994597, -0.1274422595546847, -0.026235158539244106, -0.2736385696168457, -0.115278643494738, -0.14123122306274516, 0.07713227547904743, -0.14634730120023182, -0.15306220894147243, 0.3545685492934925, 0.1280117667812322, 0.23534596346934059, -0.026014380151672022, 0.22720267736486027, 0.12514047198296924, 0.10193594461573022, 0.06724459886683949, 0.24311396713584796, 0.17982275800646416, 0.14229447114555763, -0.24910140710217613, 0.04010772593053324, -0.03072645883208939] |
710.3489 | Misssing experiments in relativity and gravity | The proposal is submitted for the measurement of the relativistic length
contraction using the nanoscopic dumbbell moving in LHC or ILC. Some paradoxes
concerning the length contraction and simultaneity are discussed. The dynamical
states of rods and strings accelerated by the gravitational field and
non-gravitational field are discussed. The realizaton of the acceleration of
the nanotube charged dumbbell in LHC, ILC and other accelerators is evidently
the prestige problem for the experts working in the accelerator physiocs.
| physics.gen-ph | the proposal is submitted for the measurement of the relativistic length contraction using the nanoscopic dumbbell moving in lhc or ilc some paradoxes concerning the length contraction and simultaneity are discussed the dynamical states of rods and strings accelerated by the gravitational field and nongravitational field are discussed the realizaton of the acceleration of the nanotube charged dumbbell in lhc ilc and other accelerators is evidently the prestige problem for the experts working in the accelerator physiocs | [['the', 'proposal', 'is', 'submitted', 'for', 'the', 'measurement', 'of', 'the', 'relativistic', 'length', 'contraction', 'using', 'the', 'nanoscopic', 'dumbbell', 'moving', 'in', 'lhc', 'or', 'ilc', 'some', 'paradoxes', 'concerning', 'the', 'length', 'contraction', 'and', 'simultaneity', 'are', 'discussed', 'the', 'dynamical', 'states', 'of', 'rods', 'and', 'strings', 'accelerated', 'by', 'the', 'gravitational', 'field', 'and', 'nongravitational', 'field', 'are', 'discussed', 'the', 'realizaton', 'of', 'the', 'acceleration', 'of', 'the', 'nanotube', 'charged', 'dumbbell', 'in', 'lhc', 'ilc', 'and', 'other', 'accelerators', 'is', 'evidently', 'the', 'prestige', 'problem', 'for', 'the', 'experts', 'working', 'in', 'the', 'accelerator', 'physiocs']] | [-0.13921175105807682, 0.23532532140612603, -0.04842413788195699, 0.07424967814857761, -0.047140292649467785, -0.15946633830200882, -0.08688342672966731, 0.3586734485129515, -0.2708825417732199, -0.2590337944527467, 0.05528920932207257, -0.29261529316194357, 0.0003629196776698033, 0.19718590785749257, 0.023330189709862073, 0.07238108886405825, 0.04744949724525213, 0.04916859799375137, -0.026072521433234214, -0.23856174142410358, 0.28513857747117677, 0.16777329449852307, 0.234986997085313, 0.07714071278770765, 0.10187877732949953, 0.029835869626452526, -0.0184408892908444, 0.04771528345843156, -0.0961174938486268, 0.10756596533659225, 0.212462873791034, 0.10424105703830719, 0.23847303512195747, -0.43756822605927786, -0.16594391466428837, 0.03825244127462308, 0.0978906195362409, 0.12030406837662061, -0.08598757794126868, -0.3255750091498097, 0.0313405317440629, -0.17209404263645411, -0.15709212169672052, 0.04092193458597952, 0.049797359695658086, 0.06111309514070551, -0.17598388598610956, 0.09348014364639919, 0.06085505813990797, 0.06437469577727219, -0.08872784970328212, -0.10298515858749549, 0.04759596360226472, 0.031673760038490095, 0.12609457651153208, 0.028098107973734538, 0.22885246279338994, -0.15943595550954343, -0.17947004826118548, 0.41857479241987067, 0.0036068994474286833, -0.1743954538802306, 0.19543297437330087, -0.17507871854429444, -0.1100588323858877, 0.06621585031796712, 0.15430337329705557, 0.07710749131937822, -0.14904144287109375, 0.12275372157183786, 0.02030300974845886, 0.0975858214745919, 0.14116573206459482, 0.004919405430555344, 0.2629266110093643, 0.2021528032918771, 0.04681969375660022, 0.11442013817606494, -0.08881578144306938, -0.0917863304167986, -0.3927437011897564, -0.15861907296658803, -0.14321623090654612, -0.010079360206824883, -0.08832085009586686, -0.13173502915228408, 0.3788106656416009, 0.12010367587208748, 0.1451192003612717, -0.02778082539443858, 0.2630383362062275, 0.04035948176092158, 0.06610053090999524, 0.05252372370411952, 0.34336790814568907, 0.1285268483373026, 0.11887183003127574, -0.26174260819486034, 0.027058230116963386, 0.09663771885757645] |
710.349 | Minkowski space structure of the Higgs potential in 2HDM: II. Minima,
symmetries, and topology | We continue to explore the consequences of the recently discovered Minkowski
space structure of the Higgs potential in the two-Higgs-doublet model. Here, we
focus on the vacuum properties. The search for extrema of the Higgs potential
is reformulated in terms of 3-quadrics in the 3+1-dimensional Minkowski space.
We prove that 2HDM cannot have more than two local minima in the orbit space
and that a twice-degenerate minimum can arise only via spontaneous violation of
a discrete symmetry of the Higgs potential. Investigating topology of the
3-quadrics, we give concise criteria for existence of non-contractible paths in
the Higgs orbit space. We also study explicit symmetries of the Higgs
potential/lagrangian and their spontaneous violation from a wider perspective
than usual.
| hep-ph hep-th | we continue to explore the consequences of the recently discovered minkowski space structure of the higgs potential in the twohiggsdoublet model here we focus on the vacuum properties the search for extrema of the higgs potential is reformulated in terms of 3quadrics in the 31dimensional minkowski space we prove that 2hdm cannot have more than two local minima in the orbit space and that a twicedegenerate minimum can arise only via spontaneous violation of a discrete symmetry of the higgs potential investigating topology of the 3quadrics we give concise criteria for existence of noncontractible paths in the higgs orbit space we also study explicit symmetries of the higgs potentiallagrangian and their spontaneous violation from a wider perspective than usual | [['we', 'continue', 'to', 'explore', 'the', 'consequences', 'of', 'the', 'recently', 'discovered', 'minkowski', 'space', 'structure', 'of', 'the', 'higgs', 'potential', 'in', 'the', 'twohiggsdoublet', 'model', 'here', 'we', 'focus', 'on', 'the', 'vacuum', 'properties', 'the', 'search', 'for', 'extrema', 'of', 'the', 'higgs', 'potential', 'is', 'reformulated', 'in', 'terms', 'of', '3quadrics', 'in', 'the', '31dimensional', 'minkowski', 'space', 'we', 'prove', 'that', '2hdm', 'can', 'not', 'have', 'more', 'than', 'two', 'local', 'minima', 'in', 'the', 'orbit', 'space', 'and', 'that', 'a', 'twicedegenerate', 'minimum', 'can', 'arise', 'only', 'via', 'spontaneous', 'violation', 'of', 'a', 'discrete', 'symmetry', 'of', 'the', 'higgs', 'potential', 'investigating', 'topology', 'of', 'the', '3quadrics', 'we', 'give', 'concise', 'criteria', 'for', 'existence', 'of', 'noncontractible', 'paths', 'in', 'the', 'higgs', 'orbit', 'space', 'we', 'also', 'study', 'explicit', 'symmetries', 'of', 'the', 'higgs', 'potentiallagrangian', 'and', 'their', 'spontaneous', 'violation', 'from', 'a', 'wider', 'perspective', 'than', 'usual']] | [-0.1552460437698258, 0.14683081044489119, -0.0866065597655172, 0.15162517351365018, -0.113227484588567, -0.10500457405677846, 0.05321422206540393, 0.3261388234065798, -0.22589122731254524, -0.23557521959241384, 0.0685103129919889, -0.21715333368868017, -0.1535363998900876, 0.15485735396400857, -0.030379179713881422, 0.03642058023848595, 0.018708144871788658, 0.02716730020613943, -0.1301731326076019, -0.2671498376299014, 0.34558239239612526, -0.0027568147191379825, 0.2225459770888536, 0.0450823875502325, 0.0655161413228792, 0.028189052807756215, 0.011874693119500438, -0.007686339654068216, -0.1695100303753488, 0.1442441025701089, 0.14209377260990122, 0.12630362028224218, 0.19307031521661222, -0.39815497632401115, -0.21337557872996116, 0.20457894852560046, 0.14341592045429236, 0.12641041699605873, -0.05325414754142368, -0.3353256553821425, 0.09734480902871005, -0.15694769099354744, -0.13582464953900403, -0.09264876839752571, -0.016318113423692875, -0.07510345741214915, -0.23716918534537554, 0.05122756672417148, 0.028967141451883234, 0.07525548568835211, -0.06433368014951801, -0.0811639101857431, -0.0956645152794245, 0.03315304750457215, 0.12870830356871757, -0.006111126972171359, 0.09110492983391175, -0.1680538245739463, -0.1671844493701226, 0.4345266959017031, -0.09230561255657464, -0.19505575721542168, 0.15574774829049906, -0.18521730824270183, -0.14499279197194, 0.10563343801559547, 0.19337405386961934, 0.1256901267896064, -0.1345193108676089, 0.20653025830924734, -0.05719584291084455, 0.08327621734118025, 0.06034084443703421, 0.10363879555569659, 0.23404309255445105, 0.13941222360819325, 0.1217073411660858, 0.14064666379688898, -0.05716690885074214, -0.1197394648901163, -0.414462823420763, -0.20244612179011998, -0.11619536298263468, 0.03966612114312832, -0.07646623537572236, -0.13778890274528766, 0.44026001592158764, 0.11121842897154836, 0.21918070814612076, 0.009845372464539658, 0.20515856026616106, 0.08887070965849692, 0.060330886024406255, 0.023757609049192607, 0.3171665124101644, 0.09159677507530929, 0.08091005735481396, -0.21032502666179442, -0.009985881272512369, 0.12807772521120617] |
710.3491 | A ridge-parameter approach to deconvolution | Kernel methods for deconvolution have attractive features, and prevail in the
literature. However, they have disadvantages, which include the fact that they
are usually suitable only for cases where the error distribution is infinitely
supported and its characteristic function does not ever vanish. Even in these
settings, optimal convergence rates are achieved by kernel estimators only when
the kernel is chosen to adapt to the unknown smoothness of the target
distribution. In this paper we suggest alternative ridge methods, not involving
kernels in any way. We show that ridge methods (a) do not require the
assumption that the error-distribution characteristic function is nonvanishing;
(b) adapt themselves remarkably well to the smoothness of the target density,
with the result that the degree of smoothness does not need to be directly
estimated; and (c) give optimal convergence rates in a broad range of settings.
| math.ST stat.TH | kernel methods for deconvolution have attractive features and prevail in the literature however they have disadvantages which include the fact that they are usually suitable only for cases where the error distribution is infinitely supported and its characteristic function does not ever vanish even in these settings optimal convergence rates are achieved by kernel estimators only when the kernel is chosen to adapt to the unknown smoothness of the target distribution in this paper we suggest alternative ridge methods not involving kernels in any way we show that ridge methods a do not require the assumption that the errordistribution characteristic function is nonvanishing b adapt themselves remarkably well to the smoothness of the target density with the result that the degree of smoothness does not need to be directly estimated and c give optimal convergence rates in a broad range of settings | [['kernel', 'methods', 'for', 'deconvolution', 'have', 'attractive', 'features', 'and', 'prevail', 'in', 'the', 'literature', 'however', 'they', 'have', 'disadvantages', 'which', 'include', 'the', 'fact', 'that', 'they', 'are', 'usually', 'suitable', 'only', 'for', 'cases', 'where', 'the', 'error', 'distribution', 'is', 'infinitely', 'supported', 'and', 'its', 'characteristic', 'function', 'does', 'not', 'ever', 'vanish', 'even', 'in', 'these', 'settings', 'optimal', 'convergence', 'rates', 'are', 'achieved', 'by', 'kernel', 'estimators', 'only', 'when', 'the', 'kernel', 'is', 'chosen', 'to', 'adapt', 'to', 'the', 'unknown', 'smoothness', 'of', 'the', 'target', 'distribution', 'in', 'this', 'paper', 'we', 'suggest', 'alternative', 'ridge', 'methods', 'not', 'involving', 'kernels', 'in', 'any', 'way', 'we', 'show', 'that', 'ridge', 'methods', 'a', 'do', 'not', 'require', 'the', 'assumption', 'that', 'the', 'errordistribution', 'characteristic', 'function', 'is', 'nonvanishing', 'b', 'adapt', 'themselves', 'remarkably', 'well', 'to', 'the', 'smoothness', 'of', 'the', 'target', 'density', 'with', 'the', 'result', 'that', 'the', 'degree', 'of', 'smoothness', 'does', 'not', 'need', 'to', 'be', 'directly', 'estimated', 'and', 'c', 'give', 'optimal', 'convergence', 'rates', 'in', 'a', 'broad', 'range', 'of', 'settings']] | [-0.062206177539621474, 0.053164731123293126, -0.11275876232204919, 0.10964166317036018, -0.0869660170596912, -0.16513351774741467, 0.020045272783865056, 0.46300578521604235, -0.2716480060414484, -0.2672338357182048, 0.1373105266631799, -0.20572399526028662, -0.1349513512335929, 0.20041220775947424, -0.09782275841538365, 0.07019548627988811, 0.06718857471702343, 0.03979689812168796, -0.08967033757478104, -0.2935254723097838, 0.3388817188881523, 0.030828849874859583, 0.2762761240319765, 0.053399377563598416, 0.08150568380555574, -0.023167885648390504, -0.0012927445952932463, 0.007139939202270978, -0.1099012101488931, 0.08649624619923585, 0.27598900432163415, 0.1305485331710983, 0.3057585174865122, -0.3825794336987091, -0.24413781732333995, 0.17064010192382525, 0.1705923178716206, 0.07777259781121125, -0.010910961915679435, -0.20425854975040605, 0.12129536043672579, -0.13483282112516876, -0.12257950368555302, -0.12083112700109153, -0.014844166240423706, 0.09685833955428015, -0.31478823093591746, 0.09781939853379067, 0.11426438366191739, 0.016894662112050447, -0.03950960168710758, -0.1564980857503594, 0.03315773352415875, 0.12141160118077379, 0.07631290935356408, 0.02478929537724941, 0.1324688103016968, -0.14843762514069148, -0.05434555765769795, 0.3242339603008425, -0.06538544425820099, -0.2675961137134978, 0.22651538740866653, -0.1735388114751178, -0.11741292712126747, 0.12937195857669762, 0.1393722718885393, 0.1349830110425275, -0.11980691377012842, 0.10637123331283913, -0.025911942955786825, 0.15076428172938156, 0.04130110081205977, 0.047268326737726414, 0.1198968470677839, 0.04480568475605167, 0.11697449448026373, 0.055763875733704324, -0.08291511127645983, -0.06997088511996236, -0.3245577108682999, -0.11964908102197004, -0.22266530289796863, 0.0031424169696979754, -0.07370306669326965, -0.1862805202943504, 0.3422230926626329, 0.16497323319236648, 0.24295179423189173, 0.06608788494156105, 0.271570455573552, 0.12545062413320263, 0.11407279990347605, 0.10862611473954105, 0.2438876538385525, 0.06081667180331622, 0.074534011522559, -0.15772106021259588, 0.170519786734953, 0.02052595841711559] |
710.3492 | Global Mixed Periods and local Klyachko models for the general linear
group | We show that every irreducible representation in the discrete automorphic
spectrum of GL(n) admits a non vanishing mixed (Whittaker-symplectic) period
integral. The analog local problem is a study of models first considered by
Klyachko over a finite field. Locally, we show that for a p-adic field F every
irreducible, unitary representation of GL(n,F) has a Klyachko model.
| math.RT math.NT | we show that every irreducible representation in the discrete automorphic spectrum of gln admits a non vanishing mixed whittakersymplectic period integral the analog local problem is a study of models first considered by klyachko over a finite field locally we show that for a padic field f every irreducible unitary representation of glnf has a klyachko model | [['we', 'show', 'that', 'every', 'irreducible', 'representation', 'in', 'the', 'discrete', 'automorphic', 'spectrum', 'of', 'gln', 'admits', 'a', 'non', 'vanishing', 'mixed', 'whittakersymplectic', 'period', 'integral', 'the', 'analog', 'local', 'problem', 'is', 'a', 'study', 'of', 'models', 'first', 'considered', 'by', 'klyachko', 'over', 'a', 'finite', 'field', 'locally', 'we', 'show', 'that', 'for', 'a', 'padic', 'field', 'f', 'every', 'irreducible', 'unitary', 'representation', 'of', 'glnf', 'has', 'a', 'klyachko', 'model']] | [-0.24135927262250334, 0.09858484263116095, -0.2152782556866961, 0.05365690899322674, -0.07486935003128435, -0.12529845235569934, -0.042852915416006, 0.3212140837463916, -0.29605172561215504, -0.12508158798196486, 0.0778423220680062, -0.1854942203831992, -0.194572159854163, 0.19810448729549535, -0.08409727961822812, -0.02182890278553324, 0.07496622755258743, 0.16682166709298535, -0.12037499949136483, -0.2721937221275376, 0.352971428190358, -0.07898548483561692, 0.23017127815234875, -0.024983697005414536, 0.1995042719063349, 0.09470242928780083, 0.007544270082040124, -0.05943080397056682, -0.07595753429138442, 0.10375011261411211, 0.3206910706886187, 0.05303413453345586, 0.2682536631556494, -0.34459281464452424, -0.24233293107577733, 0.2991695972159505, 0.09387815427700323, 0.02984631570870988, -0.03070083585251788, -0.2619140774144658, 0.11947838646925188, -0.23847256933471986, -0.16041795407987333, -0.07529500273189374, 0.0844619406894448, -0.04930834489225942, -0.2964665742058839, 0.046214364003390074, 0.12653272988141648, 0.14669344675660664, -0.1609607124368527, -0.07900023168518341, -0.023110253312292377, 0.03103124791856057, -0.055260740135314075, 0.08435002273264607, 0.041125675012673515, -0.11128746314872322, -0.139338092662261, 0.34229218061747296, -0.17403388818326807, -0.22887752914019593, 0.09785899666271039, -0.15944346575166232, -0.1846742327823969, 0.13261140204433883, 0.08092844092087555, 0.13300224468444607, -0.045658816350623965, 0.27636248990893364, -0.21662908491478966, 0.10319278957155932, 0.044457553403585086, -0.07013024640868284, 0.16448753294701288, 0.06283886730670929, 0.08805318538049635, 0.15592983426592713, 0.04086360503216773, -0.015084881468542985, -0.3671042913504477, -0.1930023572474186, -0.17280426117109268, 0.12467439757061324, -0.0736178513366862, -0.18467700754159264, 0.44360532661500784, 0.04666390379757753, 0.14478294398369534, 0.14975478589933897, 0.20019731770402618, 0.13616374259332328, 0.030639758673714823, 0.10181564366212115, 0.07988105087341475, 0.24287191449548118, -0.061626351906202866, -0.1711431578774604, -0.0570269645125206, 0.19276520403634226] |
710.3493 | Small value probabilities via the branching tree heuristic | In the first part of this paper we give easy and intuitive proofs for the
small value probabilities of the martingale limit of a supercritical
Galton-Watson process in both the Schr\"oder and the B\"ottcher case. These
results are well-known, but the most cited proofs rely on generating function
arguments which are hard to transfer to other settings. In the second part we
show that the strategy underlying our proofs can be used in the quite different
context of self-intersections of stochastic processes. Solving a problem posed
by Wenbo Li, we find the small value probabilities for intersection local times
of several Brownian motions, as well as for self-intersection local times of a
single Brownian motion.
| math.PR | in the first part of this paper we give easy and intuitive proofs for the small value probabilities of the martingale limit of a supercritical galtonwatson process in both the schroder and the bottcher case these results are wellknown but the most cited proofs rely on generating function arguments which are hard to transfer to other settings in the second part we show that the strategy underlying our proofs can be used in the quite different context of selfintersections of stochastic processes solving a problem posed by wenbo li we find the small value probabilities for intersection local times of several brownian motions as well as for selfintersection local times of a single brownian motion | [['in', 'the', 'first', 'part', 'of', 'this', 'paper', 'we', 'give', 'easy', 'and', 'intuitive', 'proofs', 'for', 'the', 'small', 'value', 'probabilities', 'of', 'the', 'martingale', 'limit', 'of', 'a', 'supercritical', 'galtonwatson', 'process', 'in', 'both', 'the', 'schroder', 'and', 'the', 'bottcher', 'case', 'these', 'results', 'are', 'wellknown', 'but', 'the', 'most', 'cited', 'proofs', 'rely', 'on', 'generating', 'function', 'arguments', 'which', 'are', 'hard', 'to', 'transfer', 'to', 'other', 'settings', 'in', 'the', 'second', 'part', 'we', 'show', 'that', 'the', 'strategy', 'underlying', 'our', 'proofs', 'can', 'be', 'used', 'in', 'the', 'quite', 'different', 'context', 'of', 'selfintersections', 'of', 'stochastic', 'processes', 'solving', 'a', 'problem', 'posed', 'by', 'wenbo', 'li', 'we', 'find', 'the', 'small', 'value', 'probabilities', 'for', 'intersection', 'local', 'times', 'of', 'several', 'brownian', 'motions', 'as', 'well', 'as', 'for', 'selfintersection', 'local', 'times', 'of', 'a', 'single', 'brownian', 'motion']] | [-0.08585805793981101, 0.07538188323010936, -0.07449299927081979, 0.10267495453976344, -0.06876920710170739, -0.10074430515299339, 0.07326388545027983, 0.3533157032032154, -0.2799405929062663, -0.2947303923010303, 0.13292264294598186, -0.24116017772374967, -0.13256163251782327, 0.2191686277061276, -0.10733431744748693, 0.06224942218467364, 0.058714957052041175, 0.009632624873662727, 0.007461054759149097, -0.2538646074060939, 0.303506393300108, -0.015143496376511297, 0.21704759066434284, 0.0498754956653309, 0.09036733897141459, 0.024841286973178126, -0.031380235540206754, 0.022183520841951434, -0.14582735915259068, 0.12457389933804638, 0.24020093313638904, 0.08416527943489582, 0.2748262527349748, -0.42890770210508716, -0.15463142216679426, 0.12265826618347905, 0.14325250270179057, 0.12495711686297957, -0.02713597632164397, -0.27580644056127457, 0.062103533386171125, -0.11182896511245258, -0.12731104650077196, -0.06288148725830149, 0.058732590670779086, 0.07043276039327968, -0.2692227677785252, 0.09845800311794799, 0.13331547592002735, 0.020434107542601658, -0.031768812932249715, -0.14740019278568134, 0.021089128819049188, 0.12805844862994395, 0.08306239462807864, -0.01237624735375376, 0.13540608616415084, -0.12984738651491506, -0.16280911323663436, 0.3739595494657886, -0.04653538160333451, -0.22188221720831566, 0.20798041595538197, -0.14927489648311676, -0.16833238786478577, 0.08888767722262919, 0.1365560410593293, 0.19327460833939544, -0.14122918561068282, 0.08281379420894378, -0.06335646889515613, 0.09136930346619665, 0.08473321404961641, -0.0019484876058668945, 0.13742679478028758, 0.1288028343646019, 0.09101655465763128, 0.1380004956925149, -0.0443414558489039, -0.15003641415387392, -0.3317738592067096, -0.16545074706970664, -0.19500831316895129, 0.07921398489270359, -0.11005952474921574, -0.18611871304905467, 0.35089972279884185, 0.15962419565358574, 0.2512989169509526, 0.10777921545045581, 0.25786117949572046, 0.15466795743773937, -0.0012746430083847883, 0.06948636927878843, 0.17431544739213822, 0.10807071259784463, 0.11074717031187263, -0.12849155798980255, 0.10429364648288149, 0.13605500180110858] |
710.3494 | Vector bundles on Hirzebruch surfaces whose twists by a non-ample line
bundle have natural cohomology | Here we study vector bundles $E$ on the Hirzebruch surface $F_e$ such that
their twists by a spanned, but not ample, line bundle $M = \mathcal
{O}_{F_e}(h+ef)$ have natural cohomology, i.e. $h^0(F_e,E(tM)) >0$ implies
$h^1(F_e,E(tM)) = 0$.
| math.AG | here we study vector bundles e on the hirzebruch surface f_e such that their twists by a spanned but not ample line bundle m mathcal o_f_ehef have natural cohomology ie h0f_eetm 0 implies h1f_eetm 0 | [['here', 'we', 'study', 'vector', 'bundles', 'e', 'on', 'the', 'hirzebruch', 'surface', 'f_e', 'such', 'that', 'their', 'twists', 'by', 'a', 'spanned', 'but', 'not', 'ample', 'line', 'bundle', 'm', 'mathcal', 'o_f_ehef', 'have', 'natural', 'cohomology', 'ie', 'h0f_eetm', '0', 'implies', 'h1f_eetm', '0']] | [-0.2797969098537578, 0.11499654337785614, -0.005160424625501037, 0.03890138253336772, -0.11682833128725179, -0.2123573543940438, 0.0029517113871406764, 0.4073237937409431, -0.28820949036162347, -0.18091166636440903, 0.06772207350877579, -0.2420199466869235, -0.15189457952510566, 0.16714537986990763, -0.09505706536219805, -0.03674127586418763, 0.022421635105274618, 0.08705924497917295, -0.09945674734626664, -0.22855275171241374, 0.47156267846003175, -0.048864547701668926, 0.20336286946258042, 0.07806026688194834, 0.11204082815675065, -0.03474662439839449, 0.036775231958017685, -0.046042197674978524, -0.1966161008833751, 0.10472096008015797, 0.2690610470017418, 0.07766061525035184, 0.1658244826248847, -0.36505265533924103, -0.14734036973823095, 0.28607707578339614, 0.14917931691161357, -0.1164930164522957, 0.044029965920344694, -0.23973277339246124, 0.11611416077357717, -0.10616392066003755, -0.12180172743683215, -0.11410626532597234, 0.192651342775207, 0.010749354616564233, -0.16037026781123132, -0.08685514229000546, 0.11551884189248085, 0.18692826299229637, -0.0818923690894735, -0.14922640644363128, -0.2342324388155248, -0.011737336753867567, 0.04186651957570575, 0.1490916198308696, 0.16429860466450918, -0.06461890222271904, -0.05714374841772951, 0.3600247292779386, -0.16160306660458446, -0.2380389014724642, 0.06875103441416286, -0.21803828531847103, -0.17407178680878133, 0.18519389460561797, 0.08039569211541675, 0.2671856920933351, 0.14785112749086693, 0.24854628176399274, -0.1660861299960743, 0.04054456629091874, 0.07155019417405128, -0.055364674495649524, 0.20126979454653338, 0.03023432963527739, 0.05794758906267816, -0.03251696014194749, -0.04914218783233082, 0.043006407970096916, -0.38894108089152724, -0.29698657616972923, -0.10582765517756343, 0.2872753651613493, -0.016337955428753048, -0.11690258602175163, 0.34016099765722174, 0.019298958883155137, 0.34038997418247163, 0.13707846688339487, 0.16645654034800828, 0.04312083063996397, 0.07171863206167473, 0.060667163343168795, 0.1622709744842723, 0.18000965019018622, -0.05300056345004123, -0.10285107590607367, -0.038899081730050966, 0.15788032143609598] |
710.3495 | Novel features of the energy momentum tensor of a Casimir apparatus in a
weak gravitational field | The influence of the gravity acceleration on the regularized energy-momentum
tensor of the quantized electromagnetic field between two plane parallel
conducting plates is derived. A perturbative expansion, to first order in the
constant acceleration parameter, of the Green functions involved and of the
energy-momentum tensor is derived by means of the covariant geodesic point
splitting procedure. The energy-momentum tensor is covariantly conserved and
satisfies the expected relation between gauge-breaking and ghost parts.
| hep-th | the influence of the gravity acceleration on the regularized energymomentum tensor of the quantized electromagnetic field between two plane parallel conducting plates is derived a perturbative expansion to first order in the constant acceleration parameter of the green functions involved and of the energymomentum tensor is derived by means of the covariant geodesic point splitting procedure the energymomentum tensor is covariantly conserved and satisfies the expected relation between gaugebreaking and ghost parts | [['the', 'influence', 'of', 'the', 'gravity', 'acceleration', 'on', 'the', 'regularized', 'energymomentum', 'tensor', 'of', 'the', 'quantized', 'electromagnetic', 'field', 'between', 'two', 'plane', 'parallel', 'conducting', 'plates', 'is', 'derived', 'a', 'perturbative', 'expansion', 'to', 'first', 'order', 'in', 'the', 'constant', 'acceleration', 'parameter', 'of', 'the', 'green', 'functions', 'involved', 'and', 'of', 'the', 'energymomentum', 'tensor', 'is', 'derived', 'by', 'means', 'of', 'the', 'covariant', 'geodesic', 'point', 'splitting', 'procedure', 'the', 'energymomentum', 'tensor', 'is', 'covariantly', 'conserved', 'and', 'satisfies', 'the', 'expected', 'relation', 'between', 'gaugebreaking', 'and', 'ghost', 'parts']] | [-0.23300119547517775, 0.15724239801056683, -0.08867953254634307, 0.062220605114513695, -0.1422888820751622, -0.052342772606708526, -0.07158840111353332, 0.3238287667789134, -0.2498160027898848, -0.2319833526853472, 0.002214725075949294, -0.24109059877486694, -0.12917882033313313, 0.10479209357355204, 0.06654454368011405, 0.029718512908503827, -0.010647325782984909, 0.06139706040266901, -0.109257456044563, -0.17975525596314887, 0.3984405127250486, 0.06542661209176812, 0.31972349936970407, 0.05219163256697357, 0.19781909696757793, 0.007974621412965158, -0.07570209318590868, 0.06526296176404382, -0.09832316607288602, 0.09221874758885759, 0.17614030913682655, 0.07690238933557542, 0.20663888743405956, -0.42408248676090604, -0.1428987265810267, 0.06667206063866615, 0.08699912368319929, 0.06492751280570196, 0.018712850783938646, -0.2504539739780335, 0.04098248089172153, -0.15794821709924792, -0.12732453391395715, -0.057037669208107725, 0.008235182547650766, -0.045113935872601964, -0.24950085030609948, 0.1577258741728858, -0.0019057756807241174, -0.004547050804831088, -0.12362786149282733, -0.10641300746808863, -0.037007809661897935, 0.1078363112368, 0.13389882645505066, 0.06326423628747256, 0.1350999551747615, -0.16106632416550484, -0.032096115167304456, 0.3889351211772818, -0.10377658200094528, -0.2763957280775584, 0.08301465312898573, -0.13331214025513166, -0.04380223246213669, 0.07994586812694454, 0.0749370526173152, 0.14877841915262657, -0.18280000471147811, 0.15798947067378322, 0.019837978202202875, 0.05492611597138522, 0.12599250679421756, -0.00563155923737213, 0.23210466685446185, -0.002243208880018857, 0.050784950306276895, 0.16546403200158644, -0.036765241384273395, -0.12954423522266248, -0.42835555008302134, -0.2083188781204323, -0.230741143260578, 0.06724167828603338, -0.16977006319777704, -0.19377713430569404, 0.36484045328365433, 0.09175838400713271, 0.09404730705217743, 0.05489417946793967, 0.33371009061940843, 0.15392169051079285, 0.1019304712568151, 0.10038086974398336, 0.33054790294651565, 0.24685250326486616, 0.10512026768184216, -0.2808166062135974, -0.04533925446190147, 0.17365429274893054] |
710.3496 | Use and misuse of ChPT in the heavy-light systems | We discuss the range of validity of ChPT when applied to the systems of
heavy-light mesons. Having in mind the recent experimental evidence according
to which the heavy-light scalar and axial states are closer to the ground
states than anticipated, we revisited the prediction for the chiral behavior of
the B-Bbar mixing amplitude and examined the impact of nearness of the positive
parity states. We conclude that the standard ChPT expressions with Nf=3 light
flavours are not useful in guiding the extrapolation of hadronic quantities
computed on the lattice. Instead those derived in HMChPT with Nf=2, i.e.,
including only the pion loops, are still adequate as long as they are applied
to the pions lighter than 350 MeV, or the quarks lighter than a third of the
physical strange quark mass.
| hep-lat hep-ph | we discuss the range of validity of chpt when applied to the systems of heavylight mesons having in mind the recent experimental evidence according to which the heavylight scalar and axial states are closer to the ground states than anticipated we revisited the prediction for the chiral behavior of the bbbar mixing amplitude and examined the impact of nearness of the positive parity states we conclude that the standard chpt expressions with nf3 light flavours are not useful in guiding the extrapolation of hadronic quantities computed on the lattice instead those derived in hmchpt with nf2 ie including only the pion loops are still adequate as long as they are applied to the pions lighter than 350 mev or the quarks lighter than a third of the physical strange quark mass | [['we', 'discuss', 'the', 'range', 'of', 'validity', 'of', 'chpt', 'when', 'applied', 'to', 'the', 'systems', 'of', 'heavylight', 'mesons', 'having', 'in', 'mind', 'the', 'recent', 'experimental', 'evidence', 'according', 'to', 'which', 'the', 'heavylight', 'scalar', 'and', 'axial', 'states', 'are', 'closer', 'to', 'the', 'ground', 'states', 'than', 'anticipated', 'we', 'revisited', 'the', 'prediction', 'for', 'the', 'chiral', 'behavior', 'of', 'the', 'bbbar', 'mixing', 'amplitude', 'and', 'examined', 'the', 'impact', 'of', 'nearness', 'of', 'the', 'positive', 'parity', 'states', 'we', 'conclude', 'that', 'the', 'standard', 'chpt', 'expressions', 'with', 'nf3', 'light', 'flavours', 'are', 'not', 'useful', 'in', 'guiding', 'the', 'extrapolation', 'of', 'hadronic', 'quantities', 'computed', 'on', 'the', 'lattice', 'instead', 'those', 'derived', 'in', 'hmchpt', 'with', 'nf2', 'ie', 'including', 'only', 'the', 'pion', 'loops', 'are', 'still', 'adequate', 'as', 'long', 'as', 'they', 'are', 'applied', 'to', 'the', 'pions', 'lighter', 'than', '350', 'mev', 'or', 'the', 'quarks', 'lighter', 'than', 'a', 'third', 'of', 'the', 'physical', 'strange', 'quark', 'mass']] | [-0.07175225407357917, 0.26760301987093144, -0.06738473712786577, 0.1542032374369464, -0.025848569330014642, -0.11013854575478507, 0.07180477077326247, 0.3411648702089682, -0.14663377951631565, -0.24850670113192716, 0.03910443144548286, -0.3165338484584603, -0.006856440577144159, 0.13870068356032192, 0.060260956595964615, 0.11738180771526945, 0.06009396676948109, 0.08914519541093525, -0.11089421394512143, -0.20061581269820142, 0.326906802161163, -0.007536788954477729, 0.2279543117166831, 0.132487045685878, -8.627233799291021e-05, -0.009953758780638339, -0.017738332005338975, -0.0449922688840022, -0.0670237661722469, 0.09928733065194728, 0.17252693256453916, 0.04472834136486338, 0.15214828442327166, -0.39255793104730263, -0.1797214175578036, 0.09851667600619884, 0.16325167721165842, 0.13408720600934174, -0.01391253457671273, -0.32740052931636343, 0.12637505343695746, -0.1812815477268216, -0.18040948577993016, -0.11891300366651125, -0.016357530089706637, -0.02871947975665729, -0.2876728014302447, 0.09056212137478141, -0.03302704325018678, 0.06348002389898054, -0.054526397005747296, -0.2620108957253112, -0.05884519801652841, 0.10379217214680647, 0.13510235926520278, 0.042539281908330284, 0.13717384445161082, -0.1695826317731092, -0.11667651169176235, 0.4649282654192839, -0.0652373415543049, -0.1714784135786063, 0.16629175477632754, -0.16845115661649532, -0.11087088676823573, 0.09034114771785627, 0.16821099475793938, 0.07856072449900267, -0.13885061866090587, 0.03844832049110435, -0.05448296436513881, 0.18409248843223908, 0.0933070813966844, 0.08667953253389542, 0.22854132984430736, 0.14330230301907215, -0.03785488469782108, 0.07515703475472467, -0.04014302498860043, -0.13805441775906632, -0.3416635958932852, -0.084025104483945, -0.11288456482642138, 0.060039202457063706, -0.07489292515519089, -0.12043646142199521, 0.403104332197486, 0.1421205274945566, 0.22350625029786397, 0.02749617063913153, 0.2982800066869222, 0.07683986637791093, 0.10733040898526443, 0.0714945115943489, 0.31812226160905743, 0.2013773247652922, 0.13862547816447415, -0.2541219078018579, -0.022455993292405347, 0.062151328802734385] |
710.3497 | Applicability of Boussinesq approximation in a turbulent fluid with
constant properties | The equations of motion describing buoyant fluids are often simplified using
a set of approximations proposed by J. Boussinesq one century ago. To resume,
they consist in assuming constant fluid properties, incompressibility and
conservation of calories during heat transport. Assuming fulfilment of the
first requirement (constant fluid properties), we derive a set of 4 criteria
for assessing the validity of the two other requirements in turbulent
Rayleigh-B\'enard convection. The first criterion $\alpha \Delta \ll 1 $ simply
results from the incompressibility condition in the thermal boundary layer
($\alpha$ and $\Delta$ are the thermal expansion coefficient and the
temperature difference driving the flow). The 3 other criteria are proportional
or quadratic with the density stratification or, equivalently with the
temperature difference resulting from the adiabatic gradient across the cell
$\Delta_{h}$. Numerical evaluations with air, water and cryogenic helium show
that most laboratory experiments are free from such Boussinesq violation as
long as the first criterion is fulfilled. In ultra high Rayleigh numbers
($Ra>10^{16}$) experiments in He, one of the stratification criteria, scaling
with $\alpha \Delta_{h}$, could be violated. This criterion garanties that
pressure fluctuations have a negligible influence both on the density variation
and on the heat transfer equation through compression/expansion cycles.
Extrapolation to higher $Ra$ suggests that strong violation of Boussinesq
approximation could occur in atmospheric convection.
| physics.class-ph physics.flu-dyn | the equations of motion describing buoyant fluids are often simplified using a set of approximations proposed by j boussinesq one century ago to resume they consist in assuming constant fluid properties incompressibility and conservation of calories during heat transport assuming fulfilment of the first requirement constant fluid properties we derive a set of 4 criteria for assessing the validity of the two other requirements in turbulent rayleighbenard convection the first criterion alpha delta ll 1 simply results from the incompressibility condition in the thermal boundary layer alpha and delta are the thermal expansion coefficient and the temperature difference driving the flow the 3 other criteria are proportional or quadratic with the density stratification or equivalently with the temperature difference resulting from the adiabatic gradient across the cell delta_h numerical evaluations with air water and cryogenic helium show that most laboratory experiments are free from such boussinesq violation as long as the first criterion is fulfilled in ultra high rayleigh numbers ra1016 experiments in he one of the stratification criteria scaling with alpha delta_h could be violated this criterion garanties that pressure fluctuations have a negligible influence both on the density variation and on the heat transfer equation through compressionexpansion cycles extrapolation to higher ra suggests that strong violation of boussinesq approximation could occur in atmospheric convection | [['the', 'equations', 'of', 'motion', 'describing', 'buoyant', 'fluids', 'are', 'often', 'simplified', 'using', 'a', 'set', 'of', 'approximations', 'proposed', 'by', 'j', 'boussinesq', 'one', 'century', 'ago', 'to', 'resume', 'they', 'consist', 'in', 'assuming', 'constant', 'fluid', 'properties', 'incompressibility', 'and', 'conservation', 'of', 'calories', 'during', 'heat', 'transport', 'assuming', 'fulfilment', 'of', 'the', 'first', 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710.3498 | B_s Mixing and B Hadron Lifetimes at CDF | We present the CDF results using 1.0 fb^{-1} of data on the mixing frequency
measurement in the B_s system and the lifetime measurements of several B
hadrons. We obtain \Delta m_s=17.77 +- 0.1 +- 0.07 ps^{-1} and
c\tau(\Lambda_b)=473.8 +- 23.1 +- 3.5 \mu m. The later one is more than 3 sigma
above the world average, but in reasonable agreement with HQE calculations.
| hep-ex | we present the cdf results using 10 fb1 of data on the mixing frequency measurement in the b_s system and the lifetime measurements of several b hadrons we obtain delta m_s1777 01 007 ps1 and ctaulambda_b4738 231 35 mu m the later one is more than 3 sigma above the world average but in reasonable agreement with hqe calculations | [['we', 'present', 'the', 'cdf', 'results', 'using', '10', 'fb1', 'of', 'data', 'on', 'the', 'mixing', 'frequency', 'measurement', 'in', 'the', 'b_s', 'system', 'and', 'the', 'lifetime', 'measurements', 'of', 'several', 'b', 'hadrons', 'we', 'obtain', 'delta', 'm_s1777', '01', '007', 'ps1', 'and', 'ctaulambda_b4738', '231', '35', 'mu', 'm', 'the', 'later', 'one', 'is', 'more', 'than', '3', 'sigma', 'above', 'the', 'world', 'average', 'but', 'in', 'reasonable', 'agreement', 'with', 'hqe', 'calculations']] | [-0.10780058706612244, 0.16886610920916786, -0.03840771188403953, 0.06710538004418802, 0.007488087113750608, -0.10794154414090149, 0.118042450328766, 0.34914291871450187, -0.15161904855222816, -0.36777897546754074, 0.06783135578019969, -0.38842691673913543, 0.043342037878015584, 0.1814445460035482, 0.03356816015091904, 0.06781944487930129, 0.10148935613075369, 0.015642219202658326, -0.11927708695855058, -0.2334139881688252, 0.1964687906663146, 0.0019389896964033444, 0.18919040569872186, 0.035236636797587075, -0.0054494197002465, -0.040124397953612764, -0.07350033687288758, -0.056251615122483486, -0.19675981621012875, 0.06401415728032589, 0.18879627516052047, 0.12472769079664559, 0.166381895051975, -0.31734886126625433, -0.08201790569971006, 0.11493789437308646, 0.12571402807033769, 0.011686155110957068, 0.0011699433821935632, -0.29542907239182997, 0.12903908000066222, -0.17907512078486515, -0.093282988458349, -0.0076055854656978655, 0.06654678791630686, -0.08943502511829138, -0.3122911162413003, 0.15974586319766546, -0.034345414669236594, 0.11541579853579415, -0.06652002563912487, -0.26759291112447453, 0.004234865659096262, 0.0198678777781887, 0.031642729820879664, 0.13627476910161868, 0.130131251954784, -0.0717574874952174, -0.09345608438250788, 0.3863594073214029, -0.1372424681160881, -0.13271050372471413, 0.1514253565682131, -0.2805073692773779, -0.11389827012623611, 0.13895047573258348, 0.15364485699019656, 0.06155927910616523, -0.17498214628441228, 0.05560244176038459, -0.04844373845282877, 0.2510952246130297, 0.07983949742067539, 0.06784471702696082, 0.1100783413766246, 0.21016189933084606, 0.02040715535220347, -0.013165659332451852, -0.1627676963945034, -0.032203702484829386, -0.34607928010978195, -0.09546779572255011, -0.10777611672682197, 0.11172609674956716, -0.14289129579290666, 0.005495873337056031, 0.35478777827270197, 0.1373190593399238, 0.29221270913094805, 0.0716388823235767, 0.2627730337216666, 0.09510880068001713, 0.03588177863071395, 0.08673246772633049, 0.2955773839106162, 0.16861324567805258, 0.1621140659819439, -0.21071012789514243, -0.003315882879848543, -0.0495425804861282] |
710.3499 | Ultraviolet observations of the X-ray photoionized wind of Cygnus X-1
during X-ray soft/high state | (Shortened) Ultraviolet observations of the black hole X-ray binary Cygnus
X-1 were obtained using the STIS on HSTubble. We detect P Cygni line features
show strong, broad absorption components when the X-ray source is behind the
companion star and noticeably weaker absorption when the X-ray source is
between us and the companion star. We fit the P Cygni profiles using the SEI
method applied to a spherically symmetric stellar wind subject to X-ray
photoionization from the black hole. The Si IV doublet provides the most
reliable estimates of the parameters of the wind and X-ray illumination. The
velocity $v$ increases with radius $r$ according to
$v=v_\infty(1-r_\star/r)^\beta$, with$\beta\approx0.75$ and
$v_\infty\approx1420$ km s$^{-1}$.The microturbulent velocity was $\approx160$
km s$^{-1}$. Our fit implies a ratio of X-ray luminosity to wind mass-loss rate
of L$_{X,38}/\dot M_{-6} \approx 0.33$, measured at $\dot M_{-6}$ = 4.8. Our
models determine parameters that may be used to estimate the accretion rate
onto the black hole and independently predict the X-ray luminosity. Our
predicted L$_x$ matches that determined by contemporaneous RXTE ASM remarkably
well, but is a factor of 3 lower than the rate according to
Bondi-Hoyle-Littleton spherical wind accretion. We suggest that some of the
energy of accretion may go into powering a jet.
| astro-ph | shortened ultraviolet observations of the black hole xray binary cygnus x1 were obtained using the stis on hstubble we detect p cygni line features show strong broad absorption components when the xray source is behind the companion star and noticeably weaker absorption when the xray source is between us and the companion star we fit the p cygni profiles using the sei method applied to a spherically symmetric stellar wind subject to xray photoionization from the black hole the si iv doublet provides the most reliable estimates of the parameters of the wind and xray illumination the velocity v increases with radius r according to vv_infty1r_starrbeta withbetaapprox075 and v_inftyapprox1420 km s1the microturbulent velocity was approx160 km s1 our fit implies a ratio of xray luminosity to wind massloss rate of l_x38dot m_6 approx 033 measured at dot m_6 48 our models determine parameters that may be used to estimate the accretion rate onto the black hole and independently predict the xray luminosity our predicted l_x matches that determined by contemporaneous rxte asm remarkably well but is a factor of 3 lower than the rate according to bondihoylelittleton spherical wind accretion we suggest that some of the energy of accretion may go into powering a jet | [['shortened', 'ultraviolet', 'observations', 'of', 'the', 'black', 'hole', 'xray', 'binary', 'cygnus', 'x1', 'were', 'obtained', 'using', 'the', 'stis', 'on', 'hstubble', 'we', 'detect', 'p', 'cygni', 'line', 'features', 'show', 'strong', 'broad', 'absorption', 'components', 'when', 'the', 'xray', 'source', 'is', 'behind', 'the', 'companion', 'star', 'and', 'noticeably', 'weaker', 'absorption', 'when', 'the', 'xray', 'source', 'is', 'between', 'us', 'and', 'the', 'companion', 'star', 'we', 'fit', 'the', 'p', 'cygni', 'profiles', 'using', 'the', 'sei', 'method', 'applied', 'to', 'a', 'spherically', 'symmetric', 'stellar', 'wind', 'subject', 'to', 'xray', 'photoionization', 'from', 'the', 'black', 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710.35 | Heat Flow in Classical and Quantum Systems and Thermal Rectification | The understanding of the underlying dynamical mechanisms which determine the
macroscopic laws of heat conduction is a long standing task of non-equilibrium
statistical mechanics. A better understanding of the mechanism of heat
conduction may lead to potentially interesting applications based on the
possibility to control the heat flow. Indeed, different models of thermal
rectifiers has been recently proposed in which heat can flow preferentially in
one direction. Although these models are far away from a prototype realization,
the underlying mechanisms are of very general nature and, as such, are suitable
of improvement and may eventually lead to real applications. We briefly discuss
the problem of heat transport in classical and quantum systems and its relation
to the chaoticity of the dynamics. We then study the phenomenon of thermal
rectification and briefly discuss the different types of microscopic mechanisms
that lead to the rectification of heat flow.
| cond-mat.stat-mech nlin.CD quant-ph | the understanding of the underlying dynamical mechanisms which determine the macroscopic laws of heat conduction is a long standing task of nonequilibrium statistical mechanics a better understanding of the mechanism of heat conduction may lead to potentially interesting applications based on the possibility to control the heat flow indeed different models of thermal rectifiers has been recently proposed in which heat can flow preferentially in one direction although these models are far away from a prototype realization the underlying mechanisms are of very general nature and as such are suitable of improvement and may eventually lead to real applications we briefly discuss the problem of heat transport in classical and quantum systems and its relation to the chaoticity of the dynamics we then study the phenomenon of thermal rectification and briefly discuss the different types of microscopic mechanisms that lead to the rectification of heat flow | [['the', 'understanding', 'of', 'the', 'underlying', 'dynamical', 'mechanisms', 'which', 'determine', 'the', 'macroscopic', 'laws', 'of', 'heat', 'conduction', 'is', 'a', 'long', 'standing', 'task', 'of', 'nonequilibrium', 'statistical', 'mechanics', 'a', 'better', 'understanding', 'of', 'the', 'mechanism', 'of', 'heat', 'conduction', 'may', 'lead', 'to', 'potentially', 'interesting', 'applications', 'based', 'on', 'the', 'possibility', 'to', 'control', 'the', 'heat', 'flow', 'indeed', 'different', 'models', 'of', 'thermal', 'rectifiers', 'has', 'been', 'recently', 'proposed', 'in', 'which', 'heat', 'can', 'flow', 'preferentially', 'in', 'one', 'direction', 'although', 'these', 'models', 'are', 'far', 'away', 'from', 'a', 'prototype', 'realization', 'the', 'underlying', 'mechanisms', 'are', 'of', 'very', 'general', 'nature', 'and', 'as', 'such', 'are', 'suitable', 'of', 'improvement', 'and', 'may', 'eventually', 'lead', 'to', 'real', 'applications', 'we', 'briefly', 'discuss', 'the', 'problem', 'of', 'heat', 'transport', 'in', 'classical', 'and', 'quantum', 'systems', 'and', 'its', 'relation', 'to', 'the', 'chaoticity', 'of', 'the', 'dynamics', 'we', 'then', 'study', 'the', 'phenomenon', 'of', 'thermal', 'rectification', 'and', 'briefly', 'discuss', 'the', 'different', 'types', 'of', 'microscopic', 'mechanisms', 'that', 'lead', 'to', 'the', 'rectification', 'of', 'heat', 'flow']] | [-0.11759765066640222, 0.13646883739490215, -0.09826627769507468, 0.06278230995976379, -0.0941676846801061, -0.1314973878420647, 0.039132853534570196, 0.3492325777379311, -0.34369479599472597, -0.2893658726012066, 0.11133588623249112, -0.26020699077005155, -0.16974859757425442, 0.27459361594272397, -0.03695764778858076, 0.06462522590658883, 0.024708678130991757, 0.011867796396198746, -0.03956141627604167, -0.16771675633228295, 0.30545987440464534, 0.06996504057135772, 0.3096998241723655, 0.12172298916226432, 0.08072341572212642, -0.0673164095512706, 0.00042019117534262675, 0.028230074231755244, -0.130385947521038, 0.10399160039059384, 0.21721111767358595, 0.042237739721376906, 0.24144692442775384, -0.47209813821524993, -0.2995574782372848, 0.09676715998259718, 0.11258937833648915, 0.13249201162986152, -0.043488703267840184, -0.2107670552269492, 0.06476213790600711, -0.12734427799036957, -0.11655826530457564, -0.09211519488758624, 0.011399916416250986, 0.046054329452812924, -0.18968066865935512, 0.10382091472075282, 0.12275678926838836, 0.001504029702293138, -0.06459475735486293, -0.10196777314429287, -0.023699627548124488, 0.15473131355765748, 0.06411127887796993, -0.044107923258657325, 0.17331927593746413, -0.18461068976696018, -0.14946871886527396, 0.39937269873917103, -0.015029251784379657, -0.17837161425377915, 0.25837717336213395, -0.13336278687626735, -0.09913747655929461, 0.0895758264710846, 0.19290110702651922, 0.09154820709795475, -0.20161505343953837, 0.016298745946611008, -0.009510183496375198, 0.09078262011801237, 0.013663485458069672, 0.0859128702643219, 0.2718656335970106, 0.19654505129756838, 0.02870037819439073, 0.1605962182045117, -0.07156903764124552, -0.14863418965051844, -0.27957857219017535, -0.17905352072039146, -0.1299210852522352, 0.10719853170432966, -0.06592406234606281, -0.14900202732773424, 0.41916459492624625, 0.20003487061261047, 0.1821430931059159, -0.05043796573650755, 0.2654716359476929, 0.1359597913313287, 0.04439498112562482, 0.06162501297283548, 0.258897834215058, 0.1476793851327049, 0.15008867450045701, -0.28524483255053273, 0.0805819607714561, 0.02770722316807672] |
710.3501 | Boundary-value problems in cosmological dynamics | The dynamics of cosmological gravitating system is governed by the Euler and
the Poisson equations. Tiny fluctuations near the big bang singularity are
amplified by gravitational instability into the observed structure today. Given
the current distribution of galaxies and assuming initial homogeneity,
dynamical reconstruction methods have been developed to derive the cosmic
density and velocity fields back in time. The reconstruction method described
here is based a least action principle formulation of the dynamics of
collisionless particle (representing galaxies). Two observational data sets
will be considered. The first is the distribution of galaxies which is assumed
to be an honest tracer of the mass density field of the dark matter. The second
set is measurements of the peculiar velocities (deviations from pure Hubble
flow) of galaxies. Given the first data set, the reconstruction method recovers
the associated velocity field which can then be compared with the second data
set. This comparison constrains the nature of the dark matter and the relation
between mass and light in the Universe.
| astro-ph | the dynamics of cosmological gravitating system is governed by the euler and the poisson equations tiny fluctuations near the big bang singularity are amplified by gravitational instability into the observed structure today given the current distribution of galaxies and assuming initial homogeneity dynamical reconstruction methods have been developed to derive the cosmic density and velocity fields back in time the reconstruction method described here is based a least action principle formulation of the dynamics of collisionless particle representing galaxies two observational data sets will be considered the first is the distribution of galaxies which is assumed to be an honest tracer of the mass density field of the dark matter the second set is measurements of the peculiar velocities deviations from pure hubble flow of galaxies given the first data set the reconstruction method recovers the associated velocity field which can then be compared with the second data set this comparison constrains the nature of the dark matter and the relation between mass and light in the universe | [['the', 'dynamics', 'of', 'cosmological', 'gravitating', 'system', 'is', 'governed', 'by', 'the', 'euler', 'and', 'the', 'poisson', 'equations', 'tiny', 'fluctuations', 'near', 'the', 'big', 'bang', 'singularity', 'are', 'amplified', 'by', 'gravitational', 'instability', 'into', 'the', 'observed', 'structure', 'today', 'given', 'the', 'current', 'distribution', 'of', 'galaxies', 'and', 'assuming', 'initial', 'homogeneity', 'dynamical', 'reconstruction', 'methods', 'have', 'been', 'developed', 'to', 'derive', 'the', 'cosmic', 'density', 'and', 'velocity', 'fields', 'back', 'in', 'time', 'the', 'reconstruction', 'method', 'described', 'here', 'is', 'based', 'a', 'least', 'action', 'principle', 'formulation', 'of', 'the', 'dynamics', 'of', 'collisionless', 'particle', 'representing', 'galaxies', 'two', 'observational', 'data', 'sets', 'will', 'be', 'considered', 'the', 'first', 'is', 'the', 'distribution', 'of', 'galaxies', 'which', 'is', 'assumed', 'to', 'be', 'an', 'honest', 'tracer', 'of', 'the', 'mass', 'density', 'field', 'of', 'the', 'dark', 'matter', 'the', 'second', 'set', 'is', 'measurements', 'of', 'the', 'peculiar', 'velocities', 'deviations', 'from', 'pure', 'hubble', 'flow', 'of', 'galaxies', 'given', 'the', 'first', 'data', 'set', 'the', 'reconstruction', 'method', 'recovers', 'the', 'associated', 'velocity', 'field', 'which', 'can', 'then', 'be', 'compared', 'with', 'the', 'second', 'data', 'set', 'this', 'comparison', 'constrains', 'the', 'nature', 'of', 'the', 'dark', 'matter', 'and', 'the', 'relation', 'between', 'mass', 'and', 'light', 'in', 'the', 'universe']] | [-0.11804287014196493, 0.12090815497096974, -0.14548664749322815, 0.08080359804721195, -0.06782289639869261, -0.052514254756499124, -0.05847654365269201, 0.2888603374040464, -0.26221080955777626, -0.3379223701970962, 0.07369731557888112, -0.26741337100836626, -0.04122457797971687, 0.16803953591443133, 0.0031247095764792036, 0.030385855525743126, 0.03454357094042713, 0.02847440367969241, -0.04992299753593259, -0.26068403340537943, 0.3684520754586196, 0.06964094700136532, 0.2509523173076949, -0.03671862727579927, 0.125933914319917, -0.07207637898855387, -0.069646009898168, 0.037276891753121856, -0.14814658779817233, 0.049305610171619, 0.16695330441940487, 0.1460301125501116, 0.2326894178806383, -0.40560091401095544, -0.2184355088808973, 0.12446347329144676, 0.1490790266661428, 0.12322571728007115, -0.06380956935962397, -0.32208437873106005, 0.05593216703952445, -0.12942818884039298, -0.14545296672509894, -0.001194393456292649, -0.00991733901762581, 0.03028725606106621, -0.23585129557960455, 0.14900087540687915, -0.0064167886034521785, 0.004090794168102245, -0.10689141159777396, -0.04975050530282758, -0.05798892460768998, 0.06773290915935788, 0.07382242839958053, 0.04686459047730923, 0.18038945289750008, -0.16255683699550683, -0.040882727915665044, 0.4410581053234637, -0.0953521831272935, -0.1382537108092081, 0.1482975147179483, -0.18473720164149113, -0.11095397578485842, 0.1438539805226139, 0.15363186999110484, 0.08907648403241876, -0.1723508287773473, 0.09069253047315821, -0.016850413916732317, 0.15572918164322064, 0.05552876122861302, -0.004238697048831021, 0.28526876229859355, 0.15872236809116744, 0.05310083162510723, 0.04220353499528885, -0.14250029956989843, -0.08020135027445144, -0.3207816408304054, -0.1326119083567478, -0.21922112186300746, 0.05021710811498841, -0.1219929253977517, -0.14586414502645356, 0.3661890409254868, 0.13287635319699934, 0.19860714904054821, 0.04585864200739057, 0.3241125681725818, 0.13275887560848787, 0.043788896452280734, 0.09670028728266646, 0.2737953052079926, 0.18726467757785162, 0.0844396693760895, -0.23087309035396347, 0.054108915966935456, 0.04845453062859763] |
710.3502 | Using Synchronic and Diachronic Relations for Summarizing Multiple
Documents Describing Evolving Events | In this paper we present a fresh look at the problem of summarizing evolving
events from multiple sources. After a discussion concerning the nature of
evolving events we introduce a distinction between linearly and non-linearly
evolving events. We present then a general methodology for the automatic
creation of summaries from evolving events. At its heart lie the notions of
Synchronic and Diachronic cross-document Relations (SDRs), whose aim is the
identification of similarities and differences between sources, from a
synchronical and diachronical perspective. SDRs do not connect documents or
textual elements found therein, but structures one might call messages.
Applying this methodology will yield a set of messages and relations, SDRs,
connecting them, that is a graph which we call grid. We will show how such a
grid can be considered as the starting point of a Natural Language Generation
System. The methodology is evaluated in two case-studies, one for linearly
evolving events (descriptions of football matches) and another one for
non-linearly evolving events (terrorist incidents involving hostages). In both
cases we evaluate the results produced by our computational systems.
| cs.CL cs.IR | in this paper we present a fresh look at the problem of summarizing evolving events from multiple sources after a discussion concerning the nature of evolving events we introduce a distinction between linearly and nonlinearly evolving events we present then a general methodology for the automatic creation of summaries from evolving events at its heart lie the notions of synchronic and diachronic crossdocument relations sdrs whose aim is the identification of similarities and differences between sources from a synchronical and diachronical perspective sdrs do not connect documents or textual elements found therein but structures one might call messages applying this methodology will yield a set of messages and relations sdrs connecting them that is a graph which we call grid we will show how such a grid can be considered as the starting point of a natural language generation system the methodology is evaluated in two casestudies one for linearly evolving events descriptions of football matches and another one for nonlinearly evolving events terrorist incidents involving hostages in both cases we evaluate the results produced by our computational systems | [['in', 'this', 'paper', 'we', 'present', 'a', 'fresh', 'look', 'at', 'the', 'problem', 'of', 'summarizing', 'evolving', 'events', 'from', 'multiple', 'sources', 'after', 'a', 'discussion', 'concerning', 'the', 'nature', 'of', 'evolving', 'events', 'we', 'introduce', 'a', 'distinction', 'between', 'linearly', 'and', 'nonlinearly', 'evolving', 'events', 'we', 'present', 'then', 'a', 'general', 'methodology', 'for', 'the', 'automatic', 'creation', 'of', 'summaries', 'from', 'evolving', 'events', 'at', 'its', 'heart', 'lie', 'the', 'notions', 'of', 'synchronic', 'and', 'diachronic', 'crossdocument', 'relations', 'sdrs', 'whose', 'aim', 'is', 'the', 'identification', 'of', 'similarities', 'and', 'differences', 'between', 'sources', 'from', 'a', 'synchronical', 'and', 'diachronical', 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710.3503 | Enhanced van der Waals interaction at interfaces | Using a recently obtained (general) formula for the interaction energy
between an excited and a ground-state atom (Sherkunov Y 2007 Phys. Rev. A 75
012705), we consider the interaction energy between two such atoms near the
interface between two media. We demonstrate that under the circumstances of the
resonant coupling of the excited atom to the surface polariton mode of a
vacuum-medium system the nonretarded atom*-atom interaction energy can be
enhanced by (several) orders of magnitude in comparison with the van der Waals
interaction energy of the two isolated atoms.
| quant-ph | using a recently obtained general formula for the interaction energy between an excited and a groundstate atom sherkunov y 2007 phys rev a 75 012705 we consider the interaction energy between two such atoms near the interface between two media we demonstrate that under the circumstances of the resonant coupling of the excited atom to the surface polariton mode of a vacuummedium system the nonretarded atomatom interaction energy can be enhanced by several orders of magnitude in comparison with the van der waals interaction energy of the two isolated atoms | [['using', 'a', 'recently', 'obtained', 'general', 'formula', 'for', 'the', 'interaction', 'energy', 'between', 'an', 'excited', 'and', 'a', 'groundstate', 'atom', 'sherkunov', 'y', '2007', 'phys', 'rev', 'a', '75', '012705', 'we', 'consider', 'the', 'interaction', 'energy', 'between', 'two', 'such', 'atoms', 'near', 'the', 'interface', 'between', 'two', 'media', 'we', 'demonstrate', 'that', 'under', 'the', 'circumstances', 'of', 'the', 'resonant', 'coupling', 'of', 'the', 'excited', 'atom', 'to', 'the', 'surface', 'polariton', 'mode', 'of', 'a', 'vacuummedium', 'system', 'the', 'nonretarded', 'atomatom', 'interaction', 'energy', 'can', 'be', 'enhanced', 'by', 'several', 'orders', 'of', 'magnitude', 'in', 'comparison', 'with', 'the', 'van', 'der', 'waals', 'interaction', 'energy', 'of', 'the', 'two', 'isolated', 'atoms']] | [-0.16764617630873213, 0.1697877495172923, -0.02215638740348037, 0.0258751916275783, 0.03953011707000604, -0.12477527491071007, 0.06516036934176968, 0.36095205597071484, -0.21844863857735286, -0.33982626868369564, -0.09747383587554478, -0.3365439999086613, -0.10490516111762686, 0.19666378014847974, 0.08501273166885684, -0.010219935454766859, 0.04396713864248754, -0.020559485279425808, -0.044530863500602376, -0.199144484488484, 0.3206989633935419, 0.02828404641265727, 0.2578326558736576, 0.151050610348069, 0.06706591133578596, 0.04786613830748882, 0.12012358099243349, 0.002401944249868393, -0.1796510407191983, 0.12446701643057168, 0.2170438913480294, -0.06518317485990172, 0.27432277956342493, -0.47349463581022894, -0.1740143502459184, 0.06497177416564558, 0.08513536040713503, 0.17788016875618434, -0.03928518820215355, -0.34102435244924645, -0.06991748975997325, -0.22436265710910613, -0.11674735068068416, -0.04931909956609492, 0.05329944591291926, 0.07329570831180635, -0.2772959961333651, 0.10155662445322378, 0.0383588739416816, 0.0346074169289998, -0.08250330772716552, -0.05195075733089735, -0.04946064913052727, 0.037706233920868144, -0.00720323477898174, 0.005028293219352649, 0.131575529855168, -0.09206180848096582, -0.05521875652167099, 0.3656512526649749, -0.13001600228810936, -0.11885975139342587, 0.2589661812473258, -0.08952257592252201, -0.01206698255952109, 0.1308389906030656, 0.11908808244730938, 0.07577388058416545, -0.14918794645927846, 0.09799812814493304, 0.0034671687065962365, 0.16503627988806163, 0.16615417468975383, 0.06146519839967368, 0.18748900649899786, 0.1270362027042376, 0.008072968159632926, 0.14171411231324205, -0.11153542022326622, -0.09141161571129817, -0.2482298456386409, -0.2005556833993813, -0.23945432540594166, 0.04395546102155508, -0.046561952024024904, -0.1251665934264152, 0.39900773323395033, 0.09224253442582929, 0.18225740687921643, -0.07857614753513852, 0.26083470730439084, 0.13244096112479878, -0.004415743582119996, 0.05458829999605024, 0.36999893704937264, 0.13939634516083804, 0.04643252122596922, -0.29515626191013405, -0.03124918275914917, 0.06385995942929928] |
710.3504 | High-Mass X-ray Binaries and the Spiral Structure of the Host Galaxy | We investigate the manifestation of the spiral structure in the distribution
of high-mass X-ray binaries (HMXBs) over the host galaxy. We construct the
simple kinematic model. It shows that the HMXBs should be displaced relative to
the spiral structure observed in such traditional star formation rate
indicators as the Halpha and FIR emissions because of their finite lifetimes.
Using Chandra observations of M51, we have studied the distribution of X-ray
sources relative to the spiral arms of this galaxy observed in Halpha. Based on
K-band data and background source number counts, we have separated the
contributions from high-mass and low-mass X-ray binaries and active galactic
nuclei. In agreement with model predictions, the distribution of HMXBs is wider
than that of bright HII regions concentrated in the region of ongoing star
formation. However, the statistical significance of this result is low, as is
the significance of the concentration of the total population of X-ray sources
to the spiral arms. We also predict the distribution of HMXBs in our Galaxy in
Galactic longitude. The distribution depends on the mean HMXB age and can
differ significantly from the distributions of such young objects as
ultracompact HII regions.
| astro-ph | we investigate the manifestation of the spiral structure in the distribution of highmass xray binaries hmxbs over the host galaxy we construct the simple kinematic model it shows that the hmxbs should be displaced relative to the spiral structure observed in such traditional star formation rate indicators as the halpha and fir emissions because of their finite lifetimes using chandra observations of m51 we have studied the distribution of xray sources relative to the spiral arms of this galaxy observed in halpha based on kband data and background source number counts we have separated the contributions from highmass and lowmass xray binaries and active galactic nuclei in agreement with model predictions the distribution of hmxbs is wider than that of bright hii regions concentrated in the region of ongoing star formation however the statistical significance of this result is low as is the significance of the concentration of the total population of xray sources to the spiral arms we also predict the distribution of hmxbs in our galaxy in galactic longitude the distribution depends on the mean hmxb age and can differ significantly from the distributions of such young objects as ultracompact hii regions | [['we', 'investigate', 'the', 'manifestation', 'of', 'the', 'spiral', 'structure', 'in', 'the', 'distribution', 'of', 'highmass', 'xray', 'binaries', 'hmxbs', 'over', 'the', 'host', 'galaxy', 'we', 'construct', 'the', 'simple', 'kinematic', 'model', 'it', 'shows', 'that', 'the', 'hmxbs', 'should', 'be', 'displaced', 'relative', 'to', 'the', 'spiral', 'structure', 'observed', 'in', 'such', 'traditional', 'star', 'formation', 'rate', 'indicators', 'as', 'the', 'halpha', 'and', 'fir', 'emissions', 'because', 'of', 'their', 'finite', 'lifetimes', 'using', 'chandra', 'observations', 'of', 'm51', 'we', 'have', 'studied', 'the', 'distribution', 'of', 'xray', 'sources', 'relative', 'to', 'the', 'spiral', 'arms', 'of', 'this', 'galaxy', 'observed', 'in', 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'objects', 'as', 'ultracompact', 'hii', 'regions']] | [-0.04665536880637183, 0.07290172772049981, -0.0921738556989459, 0.14495576837774576, -0.09527021048460924, 0.00811064644169408, 0.06259512976676072, 0.45304931047343716, -0.15819349973318503, -0.34932125052533197, 0.012664292368332174, -0.3109476570347228, -0.034003505975334455, 0.1880978415792174, -0.029351585517192174, -0.04573857457828276, 0.02776494425884688, -0.0687245458230069, -0.03822801776077915, -0.2583793471495323, 0.31875494180592834, 0.07902094738356308, 0.1619409012857863, -0.0650094552715693, 0.05516173809553141, -0.09602394066366952, -0.0790941327685471, -0.03632065863588575, -0.1433282607939657, 0.06395225763109695, 0.2533852427720198, 0.1531916382223291, 0.1944980187168748, -0.34780855370282204, -0.2157612697571785, 0.07231326966988134, 0.23980459998140938, 0.015388316494057473, -0.058285815378449395, -0.27679737459522546, 0.07243448479062657, -0.2088403850109186, -0.17953448074140116, 0.10206328791484583, 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0.29041658618401006, 0.0838852538835238, 0.10644708344468021, 0.10842437060554656, 0.3079461704113895, 0.17658389462086074, 0.04222562527656075, -0.25883400244590316, 0.1443197838938075, -0.03838487367803404] |
710.3505 | Recent Studies in Superconductivity at Extreme Pressures | Studies of the effect of high pressure on superconductivity began in 1925
with the seminal work of Sizoo and Onnes on Sn to 0.03 GPa and have continued
up to the present day to pressures in the 200 - 300 GPa range. Such enormous
pressures cause profound changes in all condensed matter properties, including
superconductivity. In high pressure experiments metallic elements, Tc values
have been elevated to temperatures as high as 20 K for Y at 115 GPa and 25 K
for Ca at 160 GPa. These pressures are sufficient to turn many insulators into
metals and magnetics into superconductors. The changes will be particularly
dramatic when the pressure is sufficient to break up one or more atomic shells.
Recent results in superconductivity to Mbar pressures wll be discussed which
exemplify the progress made in this field over the past 82 years.
| cond-mat.supr-con | studies of the effect of high pressure on superconductivity began in 1925 with the seminal work of sizoo and onnes on sn to 003 gpa and have continued up to the present day to pressures in the 200 300 gpa range such enormous pressures cause profound changes in all condensed matter properties including superconductivity in high pressure experiments metallic elements tc values have been elevated to temperatures as high as 20 k for y at 115 gpa and 25 k for ca at 160 gpa these pressures are sufficient to turn many insulators into metals and magnetics into superconductors the changes will be particularly dramatic when the pressure is sufficient to break up one or more atomic shells recent results in superconductivity to mbar pressures wll be discussed which exemplify the progress made in this field over the past 82 years | [['studies', 'of', 'the', 'effect', 'of', 'high', 'pressure', 'on', 'superconductivity', 'began', 'in', '1925', 'with', 'the', 'seminal', 'work', 'of', 'sizoo', 'and', 'onnes', 'on', 'sn', 'to', '003', 'gpa', 'and', 'have', 'continued', 'up', 'to', 'the', 'present', 'day', 'to', 'pressures', 'in', 'the', '200', '300', 'gpa', 'range', 'such', 'enormous', 'pressures', 'cause', 'profound', 'changes', 'in', 'all', 'condensed', 'matter', 'properties', 'including', 'superconductivity', 'in', 'high', 'pressure', 'experiments', 'metallic', 'elements', 'tc', 'values', 'have', 'been', 'elevated', 'to', 'temperatures', 'as', 'high', 'as', '20', 'k', 'for', 'y', 'at', '115', 'gpa', 'and', '25', 'k', 'for', 'ca', 'at', '160', 'gpa', 'these', 'pressures', 'are', 'sufficient', 'to', 'turn', 'many', 'insulators', 'into', 'metals', 'and', 'magnetics', 'into', 'superconductors', 'the', 'changes', 'will', 'be', 'particularly', 'dramatic', 'when', 'the', 'pressure', 'is', 'sufficient', 'to', 'break', 'up', 'one', 'or', 'more', 'atomic', 'shells', 'recent', 'results', 'in', 'superconductivity', 'to', 'mbar', 'pressures', 'wll', 'be', 'discussed', 'which', 'exemplify', 'the', 'progress', 'made', 'in', 'this', 'field', 'over', 'the', 'past', '82', 'years']] | [-0.08518476794290888, 0.22558256077380584, -0.03433768502436578, -0.025486647510635, -0.020151092645911767, -0.10925847067098532, 0.12078241062782971, 0.4041848262505872, -0.2324008842630844, -0.35717424577368156, 0.0833036416359911, -0.3189039227669127, -0.03742769751198856, 0.17912868625052006, -0.007067876811405378, 0.02391075245515302, -0.041913749064717974, -0.016147997007854947, -0.14274760014377535, -0.33641016159090215, 0.2234743919489639, 0.06460700418933162, 0.2779620428769184, 0.1349886059993878, 0.026297475561399813, -0.09573834818189166, 0.0869477438274771, 0.035651549431661676, -0.1656551851624889, -0.007893871849332105, 0.33571054912109893, -0.004412837580977273, 0.2619817535659032, -0.4319669653395457, -0.25877176563122445, 0.050065398669435775, 0.06454747013880738, 0.08401376651849464, -0.05569802351747057, -0.25266613658334663, 0.1355406231912119, -0.14834709247308117, -0.12030959411723806, -0.10472209744704222, 0.07192163849997867, -0.04292394655889698, -0.18497916869819164, 0.10850495176356552, 0.017407503922004252, 0.17431970834732055, -0.10513555495001908, -0.21239954170222128, -0.004351441908095564, 0.008614585486481832, 0.07505790968259264, 0.09978664931674887, 0.15456507590133697, -0.1174919908616825, -0.03278673754830379, 0.4176940773879843, -0.046544185021360006, 0.05589075863328097, 0.244679711858875, -0.19824687650959408, -0.11054467032247756, 0.24353364468884786, 0.17353810739420752, 0.05107902503306312, -0.12506682689054288, 0.024859577668498136, 0.027104330792540817, 0.158285159980213, 0.12780929434811697, 0.021986662303762776, 0.24994935680712974, 0.15386601898187238, 0.004146049533820977, 0.06122514563571063, -0.09097739852815201, -0.012627546976520014, -0.19477940865160365, -0.20604793806061414, -0.08330522915431564, 0.05930487694651154, -0.06027732703660149, -0.08563149220177106, 0.3122653247189841, 0.17115574622127627, 0.2062578539829701, -0.07297021102442938, 0.1915913227879043, 0.05545636255576807, 0.10792407865436482, 0.07335979228248886, 0.2776889004511759, 0.20181269700239812, 0.17066542064754425, -0.17214195330826831, 0.0432731923954894, -0.05498552173542391] |
710.3506 | Dynamics in One-Dimensional Spin Systems - Density-Matrix
Renormalization Group Study | We study the one-dimensional $S=1/2$ Heisenberg model with a uniform and a
staggered magnetic fields, using the dynamical density-matrix renormalization
group (DDMRG) technique. The DDMRG enables us to investigate the dynamical
properties of chain with lengths up to a few hundreds, and the results are
numerically exact in the same sense as 'exact diagonalization' results are.
Thus, we can analyze the low-energy spectrum almost in the thermodynamic limit.
In this work, we calculate the dynamical spin structure factor and demonstrate
the performance of the DDMRG method applying the open-end boundary condition as
well as the periodic boundary condition.
| cond-mat.str-el | we study the onedimensional s12 heisenberg model with a uniform and a staggered magnetic fields using the dynamical densitymatrix renormalization group ddmrg technique the ddmrg enables us to investigate the dynamical properties of chain with lengths up to a few hundreds and the results are numerically exact in the same sense as exact diagonalization results are thus we can analyze the lowenergy spectrum almost in the thermodynamic limit in this work we calculate the dynamical spin structure factor and demonstrate the performance of the ddmrg method applying the openend boundary condition as well as the periodic boundary condition | [['we', 'study', 'the', 'onedimensional', 's12', 'heisenberg', 'model', 'with', 'a', 'uniform', 'and', 'a', 'staggered', 'magnetic', 'fields', 'using', 'the', 'dynamical', 'densitymatrix', 'renormalization', 'group', 'ddmrg', 'technique', 'the', 'ddmrg', 'enables', 'us', 'to', 'investigate', 'the', 'dynamical', 'properties', 'of', 'chain', 'with', 'lengths', 'up', 'to', 'a', 'few', 'hundreds', 'and', 'the', 'results', 'are', 'numerically', 'exact', 'in', 'the', 'same', 'sense', 'as', 'exact', 'diagonalization', 'results', 'are', 'thus', 'we', 'can', 'analyze', 'the', 'lowenergy', 'spectrum', 'almost', 'in', 'the', 'thermodynamic', 'limit', 'in', 'this', 'work', 'we', 'calculate', 'the', 'dynamical', 'spin', 'structure', 'factor', 'and', 'demonstrate', 'the', 'performance', 'of', 'the', 'ddmrg', 'method', 'applying', 'the', 'openend', 'boundary', 'condition', 'as', 'well', 'as', 'the', 'periodic', 'boundary', 'condition']] | [-0.14630740994055355, 0.13278903013893537, -0.0894288363277304, 0.05389409211858613, -0.04064471918224756, -0.07218337206203225, 0.053771736663386076, 0.3981470686896723, -0.26367357932981483, -0.28781957812464737, 0.11510462886820148, -0.2544223831168243, -0.13990529551056727, 0.19303547609739993, 0.05479566131870509, 0.09030807803489496, 0.05809560462081691, 0.062028509588455974, -0.16510570723544427, -0.1977662280349213, 0.28048883672157415, 0.0410535238987329, 0.2818910797288147, 0.07443368361493079, 0.04522591004414218, 0.027808585475027865, 0.030054279869156226, 0.02474523474443324, -0.19200816020198472, 0.08142199527890402, 0.16954575208899547, -0.03162326074528451, 0.21374819256906988, -0.4020024187226153, -0.20155752090052986, 0.03645787394263458, 0.16056370869164868, 0.17862253339619052, 0.002814264302807195, -0.30474508324714034, 0.10048452401723788, -0.20668445779153202, -0.211632443515926, -0.15121075671109163, -0.0923455653436558, 0.023709440981608113, -0.26949041012534397, 0.09887076867981909, 0.02295068529587743, 0.06440727386091437, -0.08297684330170099, -0.044063929245065976, -0.004275451670875963, 0.1584433650797499, 0.05644064986536621, -0.010381016597550894, 0.104224854609834, -0.08731745442670143, -0.1056337219185424, 0.37766324542462826, -0.10750197573702744, -0.18351833205860185, 0.19134838353576406, -0.14666525711904146, -0.1338019491534452, 0.07260797444816526, 0.1098337977487898, 0.1237188212725581, -0.17446701615461985, 0.13970643705130098, -0.07661652422215486, 0.1507405289754685, 0.018177459044952174, 0.024873552088416656, 0.1287775038366149, 0.15246519933891844, 0.07980339599497692, 0.17958677257411182, -0.08774096731509899, -0.1237061621112825, -0.24588987942100787, -0.12560727932651963, -0.17589314084271995, 0.09525369021243282, -0.11640621853795743, -0.17914219869642842, 0.4207851450358118, 0.18041541295368155, 0.19224024657160044, 0.060226749144114404, 0.2525444836593328, 0.13622909007066555, 0.03929758535660043, 0.08240161565778663, 0.18686920776725652, 0.20697442193905233, 0.03892955520636953, -0.3008844956769893, -0.050314592710715166, 0.12475427796075843] |
710.3507 | Attractors in coherent systems of differential equations | Attractors of cooperative dynamical systems are particularly simple; for
example, a nontrivial periodic orbit cannot be an attractor. This paper
provides characterizations of attractors for the wider class of coherent
systems, defined by the property that no directed feedback loops are negative.
Several new results for cooperative systems are obtained in the process.
| math.DS | attractors of cooperative dynamical systems are particularly simple for example a nontrivial periodic orbit cannot be an attractor this paper provides characterizations of attractors for the wider class of coherent systems defined by the property that no directed feedback loops are negative several new results for cooperative systems are obtained in the process | [['attractors', 'of', 'cooperative', 'dynamical', 'systems', 'are', 'particularly', 'simple', 'for', 'example', 'a', 'nontrivial', 'periodic', 'orbit', 'can', 'not', 'be', 'an', 'attractor', 'this', 'paper', 'provides', 'characterizations', 'of', 'attractors', 'for', 'the', 'wider', 'class', 'of', 'coherent', 'systems', 'defined', 'by', 'the', 'property', 'that', 'no', 'directed', 'feedback', 'loops', 'are', 'negative', 'several', 'new', 'results', 'for', 'cooperative', 'systems', 'are', 'obtained', 'in', 'the', 'process']] | [-0.25326294276035494, 0.1654683690783848, -0.05700929278369855, 0.09667286060711275, -0.05948659418909638, -0.17150397183313207, 0.016216840411760605, 0.37678393445633074, -0.28000600097907913, -0.2064117300151675, 0.12660444567747484, -0.2313459163479921, -0.2216969014369641, 0.2899325452744961, -0.0764961631330489, 0.052460554245583435, 0.08188880060764926, 0.021886518229385494, -0.012132789103176308, -0.19904711856334298, 0.38225706483030486, 0.01631923376461836, 0.1995916081316493, 0.0029461882422091783, 0.048678831249061555, -0.042223565530514824, 0.012761204266334298, 0.09149954920953692, -0.11561296769125168, 0.09833921547289248, 0.23132415170807186, 0.12593489585237372, 0.2554829750485994, -0.3702459597304739, -0.2872389413209425, 0.14759831611687937, 0.17507718848463372, 0.12957441544643156, -0.09790920769726788, -0.2834981558844447, 0.14414228066905505, -0.18543600301146163, -0.15827141939317463, -0.12602459442698294, 0.041103074723785674, 0.05960984134775639, -0.2802743236663648, 0.019709811313077807, 0.1557401448064613, 0.09463730675202829, -0.09407849310621343, -0.04612383280915243, -0.03171270592051938, 0.17100925273606898, -0.03254291917147822, -0.03614314817133601, 0.08565263834747451, -0.09735443937609455, -0.20899154669475845, 0.3538864699916707, -0.012937555440994739, -0.20591301043276433, 0.2480011298234954, -0.09447443685321896, -0.18588977256203415, 0.16506354207241977, 0.18286312638816457, 0.12795532532726173, -0.21367893062738907, 0.0664608816754211, -0.071458998369053, 0.11972601127086414, 0.020790994693352667, 0.09469047054018895, 0.20181567432721043, 0.14989572835016857, 0.13718243878058814, 0.15116255392570532, 0.045535435848351985, -0.16339466767385602, -0.2662931950590401, -0.10296364860281486, -0.11397737801005994, 0.029380048987621667, -0.08815847969338021, -0.19667632943364205, 0.3816612194188767, 0.06189595375865422, 0.19454698543133284, 0.06197402799174328, 0.2234597716877168, 0.13358168949855975, 0.015893291026629782, 0.030854917528038775, 0.24215253039383916, 0.09517378099607648, 0.10786128080346519, -0.15958487737440952, 0.0602363444675036, 0.0761437404435128] |
710.3508 | Wavelet sets without groups | Most of the examples of wavelet sets are for dilation sets which are groups.
We find a necessary and sufficient condition under which subspace wavelet sets
exist for dilation sets of the form $A B$, which are not necessarily groups. We
explain the construction by a few examples.
| math.FA | most of the examples of wavelet sets are for dilation sets which are groups we find a necessary and sufficient condition under which subspace wavelet sets exist for dilation sets of the form a b which are not necessarily groups we explain the construction by a few examples | [['most', 'of', 'the', 'examples', 'of', 'wavelet', 'sets', 'are', 'for', 'dilation', 'sets', 'which', 'are', 'groups', 'we', 'find', 'a', 'necessary', 'and', 'sufficient', 'condition', 'under', 'which', 'subspace', 'wavelet', 'sets', 'exist', 'for', 'dilation', 'sets', 'of', 'the', 'form', 'a', 'b', 'which', 'are', 'not', 'necessarily', 'groups', 'we', 'explain', 'the', 'construction', 'by', 'a', 'few', 'examples']] | [-0.12707777981025478, 0.1302196421311237, -0.07759943895507604, 0.10520049040981878, -0.027120673020059865, -0.10656038595091862, 0.010704004889703356, 0.4112165066568802, -0.2605283411612618, -0.21831515109321722, 0.20489803451346233, -0.24263796644906202, -0.1746857076844511, 0.2738427298415142, -0.08904977296090995, 0.026291705641294055, 0.0810754784567204, 0.07206121251995985, -0.07064505133894272, -0.288212685380131, 0.3836155345197767, -0.04176524766565611, 0.23117796960286796, -0.016380773552858347, 0.07927844118482123, -0.08611152459828493, -0.05820104273637602, 0.036984457343351096, -0.12467730540083721, 0.11236275367749234, 0.22485902750243744, 0.18367036007111892, 0.27586516078251105, -0.36705692975859466, -0.1834995352298089, 0.1876708172397533, 0.07762126342277043, 0.11260923434019787, -0.0659432851607562, -0.24949368557039028, 0.12429836206138134, -0.10809199892294903, -0.04429452141630463, -0.1830564916599542, 0.04441327213620146, 0.022900671581737697, -0.34527052233655314, 0.044392556291616835, 0.11031911444539826, 0.08678427761575828, -0.08963988060228682, -0.07356542073345433, 0.014456872323838374, 0.09955987917298141, -0.0042773390111203, -0.039396028354531154, 0.0783386706316378, -0.00858861793919156, -0.09485624798495944, 0.412018933139431, 0.035418199530492224, -0.27242618475186947, 0.23532587254885584, -0.17485163761981917, -0.176180539856432, 0.11329830987961031, 0.1333141279174015, 0.07364881027024239, -0.15524374928403026, 0.08524444000674218, -0.13096537625339502, 0.11236955857990931, 0.14354508450681655, 0.07554810234190275, 0.15373173464710513, 0.05655912455404177, 0.13901457933631414, 0.090996196338286, -0.014964550733566284, 0.018079199672987063, -0.4425124691721673, -0.10234716954255418, -0.15643648279365152, -0.01062126354342278, -0.07040552836618492, -0.22780201763574345, 0.39931892991201795, 0.05965692119207233, 0.22716683302617943, 0.08590339804019702, 0.1811436165298801, 0.05004636748708435, 0.10994976670311492, 0.10781469174738352, 0.1402617273076127, 0.1492162271218452, -0.04722923183968911, -0.09469973133794458, 0.012494434166001156, 0.13100233133688258] |
710.3509 | Integral curves of noisy vector fields and statistical problems in
diffusion tensor imaging: nonparametric kernel estimation and hypotheses
testing | Let $v$ be a vector field in a bounded open set $G\subset {\mathbb {R}}^d$.
Suppose that $v$ is observed with a random noise at random points $X_i,
i=1,...,n,$ that are independent and uniformly distributed in $G.$ The problem
is to estimate the integral curve of the differential equation
\[\frac{dx(t)}{dt}=v(x(t)),\qquad t\geq 0,x(0)=x_0\in G,\] starting at a given
point $x(0)=x_0\in G$ and to develop statistical tests for the hypothesis that
the integral curve reaches a specified set $\Gamma\subset G.$ We develop an
estimation procedure based on a Nadaraya--Watson type kernel regression
estimator, show the asymptotic normality of the estimated integral curve and
derive differential and integral equations for the mean and covariance function
of the limit Gaussian process. This provides a method of tracking not only the
integral curve, but also the covariance matrix of its estimate. We also study
the asymptotic distribution of the squared minimal distance from the integral
curve to a smooth enough surface $\Gamma\subset G$. Building upon this, we
develop testing procedures for the hypothesis that the integral curve reaches
$\Gamma$. The problems of this nature are of interest in diffusion tensor
imaging, a brain imaging technique based on measuring the diffusion tensor at
discrete locations in the cerebral white matter, where the diffusion of water
molecules is typically anisotropic. The diffusion tensor data is used to
estimate the dominant orientations of the diffusion and to track white matter
fibers from the initial location following these orientations. Our approach
brings more rigorous statistical tools to the analysis of this problem
providing, in particular, hypothesis testing procedures that might be useful in
the study of axonal connectivity of the white matter.
| math.ST stat.TH | let v be a vector field in a bounded open set gsubset mathbb rd suppose that v is observed with a random noise at random points x_i i1n that are independent and uniformly distributed in g the problem is to estimate the integral curve of the differential equation fracdxtdtvxtqquad tgeq 0x0x_0in g starting at a given point x0x_0in g and to develop statistical tests for the hypothesis that the integral curve reaches a specified set gammasubset g we develop an estimation procedure based on a nadarayawatson type kernel regression estimator show the asymptotic normality of the estimated integral curve and derive differential and integral equations for the mean and covariance function of the limit gaussian process this provides a method of tracking not only the integral curve but also the covariance matrix of its estimate we also study the asymptotic distribution of the squared minimal distance from the integral curve to a smooth enough surface gammasubset g building upon this we develop testing procedures for the hypothesis that the integral curve reaches gamma the problems of this nature are of interest in diffusion tensor imaging a brain imaging technique based on measuring the diffusion tensor at discrete locations in the cerebral white matter where the diffusion of water molecules is typically anisotropic the diffusion tensor data is used to estimate the dominant orientations of the diffusion and to track white matter fibers from the initial location following these orientations our approach brings more rigorous statistical tools to the analysis of this problem providing in particular hypothesis testing procedures that might be useful in the study of axonal connectivity of the white matter | [['let', 'v', 'be', 'a', 'vector', 'field', 'in', 'a', 'bounded', 'open', 'set', 'gsubset', 'mathbb', 'rd', 'suppose', 'that', 'v', 'is', 'observed', 'with', 'a', 'random', 'noise', 'at', 'random', 'points', 'x_i', 'i1n', 'that', 'are', 'independent', 'and', 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710.351 | EPR Paradox,Locality and Completeness of Quantum Theory | The quantum theory (QT) and new stochastic approaches have no deterministic
prediction for a single measurement or for a single time -series of events
observed for a trapped ion, electron or any other individual physical system.
The predictions of QT being of probabilistic character apply to the statistical
distribution of the results obtained in various experiments. The probability
distribution is not an attribute of a dice but it is a characteristic of a
whole random experiment : '' rolling a dice''. and statistical long range
correlations between two random variables X and Y are not a proof of any causal
relation between these variable. Moreover any probabilistic model used to
describe a random experiment is consistent only with a specific protocol
telling how the random experiment has to be performed.In this sense the quantum
theory is a statistical and contextual theory of phenomena. In this paper we
discuss these important topics in some detail. Besides we discuss in historical
perspective various prerequisites used in the proofs of Bell and CHSH
inequalities concluding that the violation of these inequalities in spin
polarization correlation experiments is neither a proof of the completeness of
QT nor of its nonlocality. The question whether QT is predictably complete is
still open and it should be answered by a careful and unconventional analysis
of the experimental data. It is sufficient to analyze more in detail the
existing experimental data by using various non-parametric purity tests and
other specific statistical tools invented to study the fine structure of the
time-series. The correct understanding of statistical and contextual character
of QT has far reaching consequences for the quantum information and quantum
computing.
| quant-ph | the quantum theory qt and new stochastic approaches have no deterministic prediction for a single measurement or for a single time series of events observed for a trapped ion electron or any other individual physical system the predictions of qt being of probabilistic character apply to the statistical distribution of the results obtained in various experiments the probability distribution is not an attribute of a dice but it is a characteristic of a whole random experiment rolling a dice and statistical long range correlations between two random variables x and y are not a proof of any causal relation between these variable moreover any probabilistic model used to describe a random experiment is consistent only with a specific protocol telling how the random experiment has to be performedin this sense the quantum theory is a statistical and contextual theory of phenomena in this paper we discuss these important topics in some detail besides we discuss in historical perspective various prerequisites used in the proofs of bell and chsh inequalities concluding that the violation of these inequalities in spin polarization correlation experiments is neither a proof of the completeness of qt nor of its nonlocality the question whether qt is predictably complete is still open and it should be answered by a careful and unconventional analysis of the experimental data it is sufficient to analyze more in detail the existing experimental data by using various nonparametric purity tests and other specific statistical tools invented to study the fine structure of the timeseries the correct understanding of statistical and contextual character of qt has far reaching consequences for the quantum information and quantum computing | [['the', 'quantum', 'theory', 'qt', 'and', 'new', 'stochastic', 'approaches', 'have', 'no', 'deterministic', 'prediction', 'for', 'a', 'single', 'measurement', 'or', 'for', 'a', 'single', 'time', 'series', 'of', 'events', 'observed', 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710.3511 | Deformations of metabelian representations of knot groups into
$SL(3,\mathbb{C})$ | Let K be a knot in $S^3$ and $X$ its complement. We study deformations of
reducible metabelian representations of the knot group $\pi_1(X)$ into
$SL(3,\mathbb{C})$ which are associated to a double root of the Alexander
polynomial. We prove that these reducible metabelian representations are smooth
points of the representation variety and that they have irreducible non
metabelian deformations.
| math.GT | let k be a knot in s3 and x its complement we study deformations of reducible metabelian representations of the knot group pi_1x into sl3mathbbc which are associated to a double root of the alexander polynomial we prove that these reducible metabelian representations are smooth points of the representation variety and that they have irreducible non metabelian deformations | [['let', 'k', 'be', 'a', 'knot', 'in', 's3', 'and', 'x', 'its', 'complement', 'we', 'study', 'deformations', 'of', 'reducible', 'metabelian', 'representations', 'of', 'the', 'knot', 'group', 'pi_1x', 'into', 'sl3mathbbc', 'which', 'are', 'associated', 'to', 'a', 'double', 'root', 'of', 'the', 'alexander', 'polynomial', 'we', 'prove', 'that', 'these', 'reducible', 'metabelian', 'representations', 'are', 'smooth', 'points', 'of', 'the', 'representation', 'variety', 'and', 'that', 'they', 'have', 'irreducible', 'non', 'metabelian', 'deformations']] | [-0.2438475821359918, 0.1051592080299903, -0.1561917339387382, 0.01865569238775763, -0.14872681424985157, -0.17733202019610025, -0.049689405822548376, 0.3993259627082995, -0.38504450241553373, -0.16643741864165099, 0.11661227563484411, -0.24972723925421977, -0.18818231257770596, 0.17590760240523978, -0.14191290390966782, -0.07452305759692661, 0.09066957631750547, 0.14402871199979864, -0.13337006599939397, -0.302890375288653, 0.3479493294505338, -0.11679916469488646, 0.13636294555256206, 0.034829316355673406, 0.11744962028902152, -0.03916522470736426, -0.012349255993191538, -0.032059693391884456, -0.1628063192266413, 0.10537557034143086, 0.39510610940512914, 0.027263892714158987, 0.10606889119211199, -0.3350763525959337, -0.11643592377418074, 0.29134734585110483, 0.18647089693695307, -0.0717745851825698, 0.011724083375282073, -0.3035371198222555, 0.14580862324460056, -0.20855263419096068, -0.1461239343444849, -0.11172197834620702, 0.08353002628729005, 0.03325483597542063, -0.14282034135198798, -0.024816931385932297, 0.08251565026825872, 0.13646499353364624, -0.024548365632152378, -0.11947352306692507, -0.07813730978824455, 0.09547706756034288, -0.01736969554572013, 0.0646751548428538, 0.09773973557809047, -0.16321141637283668, -0.12667251526024834, 0.4096342636079624, -0.012087443398897824, -0.2709390734932546, 0.1724114784617619, -0.19694688909783445, -0.239878937650215, 0.24805134342148386, 0.10596624249592423, 0.09852358596078281, 0.02177958002570888, 0.21843937045597503, -0.18843236533475333, 0.035050876137543596, 0.07756641197243128, -0.04241991433282864, 0.15091653550364847, 0.008793858875488413, 0.028668725802884275, 0.1351087317814055, 0.05110883407579767, 0.0697118728341342, -0.3632541163021634, -0.23937795551268962, -0.09792013765826564, 0.1473698660024795, -0.11005278174105051, -0.1694346197463315, 0.4341787505766441, 0.011804313254382076, 0.1351435358058019, 0.16423545464881342, 0.14611920051212454, 0.049004593294049645, 0.06617785157667923, 0.09473238943208909, 0.04093799618040693, 0.22830920775645766, -0.16247707668788217, -0.14318591474298517, -0.0521476709741521, 0.25126249030039743] |
710.3512 | Radiation Hydrodynamics in Kerr Spacetime: Equations without Coordinate
Singularity at the Event Horizon | Equations of fully general relativistic radiation hydrodynamics around a
rotating black hole are derived by using the Kerr-Schild coordinate where there
is no coordinate singularity at the event horizon. Since the radiation
interacts with matter moving with relativistic velocities near the event
horizon, the interplay between the radiation and the matter should be described
fully relativistically. In the formalism used in this study, while the
interactions between matter and radiation are introduced in the comoving frame,
the equations and the equations and the derivatives for the description of the
global evolution of both matter and the radiation are given in the Kerr-Schild
frame (KSF) which is a frame fixed to the coordinate describing the central
black hole. As a frame fixed to the coordinate, we use the locally non-rotating
reference frame (LNRF) representing a radially falling frame when the
Kerr-Schild coordinate is used. Around the rotating black hole, both the matter
and the radiation are affected by the frame-dragging effects.
| astro-ph | equations of fully general relativistic radiation hydrodynamics around a rotating black hole are derived by using the kerrschild coordinate where there is no coordinate singularity at the event horizon since the radiation interacts with matter moving with relativistic velocities near the event horizon the interplay between the radiation and the matter should be described fully relativistically in the formalism used in this study while the interactions between matter and radiation are introduced in the comoving frame the equations and the equations and the derivatives for the description of the global evolution of both matter and the radiation are given in the kerrschild frame ksf which is a frame fixed to the coordinate describing the central black hole as a frame fixed to the coordinate we use the locally nonrotating reference frame lnrf representing a radially falling frame when the kerrschild coordinate is used around the rotating black hole both the matter and the radiation are affected by the framedragging effects | [['equations', 'of', 'fully', 'general', 'relativistic', 'radiation', 'hydrodynamics', 'around', 'a', 'rotating', 'black', 'hole', 'are', 'derived', 'by', 'using', 'the', 'kerrschild', 'coordinate', 'where', 'there', 'is', 'no', 'coordinate', 'singularity', 'at', 'the', 'event', 'horizon', 'since', 'the', 'radiation', 'interacts', 'with', 'matter', 'moving', 'with', 'relativistic', 'velocities', 'near', 'the', 'event', 'horizon', 'the', 'interplay', 'between', 'the', 'radiation', 'and', 'the', 'matter', 'should', 'be', 'described', 'fully', 'relativistically', 'in', 'the', 'formalism', 'used', 'in', 'this', 'study', 'while', 'the', 'interactions', 'between', 'matter', 'and', 'radiation', 'are', 'introduced', 'in', 'the', 'comoving', 'frame', 'the', 'equations', 'and', 'the', 'equations', 'and', 'the', 'derivatives', 'for', 'the', 'description', 'of', 'the', 'global', 'evolution', 'of', 'both', 'matter', 'and', 'the', 'radiation', 'are', 'given', 'in', 'the', 'kerrschild', 'frame', 'ksf', 'which', 'is', 'a', 'frame', 'fixed', 'to', 'the', 'coordinate', 'describing', 'the', 'central', 'black', 'hole', 'as', 'a', 'frame', 'fixed', 'to', 'the', 'coordinate', 'we', 'use', 'the', 'locally', 'nonrotating', 'reference', 'frame', 'lnrf', 'representing', 'a', 'radially', 'falling', 'frame', 'when', 'the', 'kerrschild', 'coordinate', 'is', 'used', 'around', 'the', 'rotating', 'black', 'hole', 'both', 'the', 'matter', 'and', 'the', 'radiation', 'are', 'affected', 'by', 'the', 'framedragging', 'effects']] | [-0.13412985559843946, 0.1089001343701966, -0.10138350851448194, 0.08967529304936761, -0.07033559334813617, -0.09938477071700617, -0.07664543876253446, 0.3261560330633074, -0.21614761525124776, -0.286747809802182, 0.0470557669075788, -0.3074453291366808, -0.011597527039702982, 0.1435435437684646, -0.02279218263720395, 0.011261197715066373, -0.002344634108885657, 0.08333375167858321, -0.11904246981721371, -0.1585648810316343, 0.3685090702696471, 0.1291773305638344, 0.2211978347215336, -0.06317136461148039, 0.14324011345015605, 0.050915057110250926, -0.04592632628045976, 0.07762755489675328, -0.10003114473656752, 0.016635993105592207, 0.20977663834783017, 0.11547788587049582, 0.22168266955995933, -0.4457925852053449, -0.22172025213367305, 0.06218977273092605, 0.14048278213012963, 0.17458015842021268, -0.10095937125151977, -0.30211007792968303, 0.019162974358187056, -0.20643578149029054, -0.15890459280344657, 0.007496241177432239, 0.06091767645266373, 0.01695137151364179, -0.20599892415775684, 0.09296832734398777, 0.04636501689383295, -0.046785820913828505, -0.14104785987292418, 0.031916722813184605, -0.06252621612802614, 0.06743557214158499, 0.11077537103410577, 0.08067490696266759, 0.20475532289710827, -0.11075331176616601, -0.028318526429939084, 0.4652177218347788, -0.07840118304884527, -0.258999895004672, 0.14972541664756137, -0.2203594949474791, -0.04708568878268125, 0.1247699299477972, 0.15079186086659319, 0.205346229558927, -0.1756336155453937, 0.08299577070652049, 1.8867020844481886e-05, 0.10845858569955454, 0.12744267207453958, 0.019225469235607306, 0.35920848688110707, 0.08535488074849126, -0.030448745531612077, 0.10637512481407611, -0.09369104106772283, -0.12418414652347565, -0.3794108557747677, -0.12093503867783965, -0.13145321332704044, 0.015401651104912161, -0.12650423273389605, -0.1419438154785894, 0.33883692605304533, 0.08209468980785459, 0.14337477191002107, 0.004054440282197902, 0.27806085888078086, 0.11344214747296064, 0.03400369178852998, 0.17667804832744877, 0.35232690334087235, 0.12382299744349438, 0.14639605349657359, -0.25865988740988544, -0.03874000186624471, 0.08617689261009218] |
710.3513 | Circumventing the No-Go Theorem in Noncommutative Gauge Field Theory | Stringent restrictions for model building are imposed by a no-go theorem in
noncommutative gauge field theory. Circumventing this theorem is crucial for
the construction of realistic models of particle interactions. To this end, the
noncommutative construction of tensor representations of gauge groups using
half-infinite Wilson lines is extended to allow for gauge groups consisting of
an arbitrary number of $U_*(N)$ factors. This as well allows representations
other than the ones permitted by the no-go theorem.
| hep-th | stringent restrictions for model building are imposed by a nogo theorem in noncommutative gauge field theory circumventing this theorem is crucial for the construction of realistic models of particle interactions to this end the noncommutative construction of tensor representations of gauge groups using halfinfinite wilson lines is extended to allow for gauge groups consisting of an arbitrary number of u_n factors this as well allows representations other than the ones permitted by the nogo theorem | [['stringent', 'restrictions', 'for', 'model', 'building', 'are', 'imposed', 'by', 'a', 'nogo', 'theorem', 'in', 'noncommutative', 'gauge', 'field', 'theory', 'circumventing', 'this', 'theorem', 'is', 'crucial', 'for', 'the', 'construction', 'of', 'realistic', 'models', 'of', 'particle', 'interactions', 'to', 'this', 'end', 'the', 'noncommutative', 'construction', 'of', 'tensor', 'representations', 'of', 'gauge', 'groups', 'using', 'halfinfinite', 'wilson', 'lines', 'is', 'extended', 'to', 'allow', 'for', 'gauge', 'groups', 'consisting', 'of', 'an', 'arbitrary', 'number', 'of', 'u_n', 'factors', 'this', 'as', 'well', 'allows', 'representations', 'other', 'than', 'the', 'ones', 'permitted', 'by', 'the', 'nogo', 'theorem']] | [-0.14302737734590967, 0.1721349500323413, -0.08536674689889576, 0.08131949140845487, -0.10581792923932275, -0.1692158085294068, 0.025297931077269218, 0.2948512081056833, -0.18971661346654098, -0.3156897961348295, 0.08885407013663402, -0.20321759706072043, -0.09702126092587908, 0.19644774506955098, -0.08025592780361573, 0.02311320268859466, 0.003609629316876332, 0.030871345521882178, -0.0702007956802845, -0.2386171823491653, 0.37030463879927994, 0.028656710982322694, 0.2840038412436843, 0.041259731873869894, 0.07503747717787822, 0.07979827105998993, -0.061479057154307765, -0.04546212983628114, -0.0749929331537957, 0.1630505873511235, 0.23518798046963638, 0.05894607641423742, 0.19837484071031214, -0.4373547603189945, -0.2064397286553867, 0.15029625348746778, 0.14174741062956553, 0.14354123141616582, 0.013443514506022136, -0.32424532492955527, 0.05129920156672597, -0.18447755080958209, -0.19319866761409987, -0.08233165522416433, -0.01784282798025136, -0.04966607796649138, -0.2802963093908814, 0.04586979213481148, 0.0854748904844746, 0.07623102862387895, -0.04777997577019657, -0.07543514855206013, 0.00485803524342676, 0.09826286376764377, 0.07189148152091851, 0.007996994039664666, 0.13127617831031482, -0.14565598596818746, -0.15547978391560416, 0.4025512149433295, -0.03700337763351854, -0.23985647302120924, 0.15923181840529044, -0.07171811064705252, -0.22693416298056643, 0.07735398996495253, 0.08869324250767628, 0.1371239672973752, -0.10509867678085963, 0.18468622783819835, -0.10309232896193862, 0.08786339769295107, 0.10410557836915056, 0.05271831437634925, 0.20291932319601377, 0.0840068548421065, 0.06902978118509054, 0.13630660315820325, 0.04271607238799333, -0.09452532641589642, -0.37266489868362745, -0.13526176957335945, -0.11760279133915902, 0.10002554343702892, -0.13604197394723694, -0.16166678363922984, 0.3636732813778023, 0.16306584600980084, 0.13079659187002107, 0.09199187312896052, 0.24109922079369425, 0.1043400315552329, 0.12375162729372581, 0.003927052803337574, 0.1688363064949711, 0.251755645206819, -0.0027854353189468383, -0.10343457812443375, -0.07003840275108814, 0.19492422780332466] |
710.3514 | Coxeter Groups, Wavelets, Multiresolution and Sampling | In this short note we discuss the interplay between finite Coxeter groups and
construction of wavelet sets, generalized multiresolution analysis and
sampling.
| math.FA | in this short note we discuss the interplay between finite coxeter groups and construction of wavelet sets generalized multiresolution analysis and sampling | [['in', 'this', 'short', 'note', 'we', 'discuss', 'the', 'interplay', 'between', 'finite', 'coxeter', 'groups', 'and', 'construction', 'of', 'wavelet', 'sets', 'generalized', 'multiresolution', 'analysis', 'and', 'sampling']] | [-0.15223441954532807, 0.15355382607826454, -0.18212628686292606, 0.14228198268260298, -0.07199517121030526, -0.054925831204110924, 0.055352390659126366, 0.391723191534931, -0.39589285088533704, -0.20986599286764182, 0.09546054467368363, -0.22238918918777595, -0.24128616385331209, 0.1803537191272798, -0.14064916722815146, -0.07287147302519191, 0.09336030771109191, -0.059456403367221355, -0.15695149392228236, -0.23924626867202195, 0.34938277913765475, 0.027168311321557583, 0.33782903337851167, 0.04375574200160124, 0.09980379726568406, 0.09722494524480267, -0.22399150599217552, -0.054511192424053494, -0.18915553120049564, 0.1629867311567068, 0.3182296771556139, 0.08132853960110382, 0.2493200937116688, -0.3492643623824485, -0.11911947300144345, 0.1848739996044473, 0.16225974189794876, 0.0669026869264516, -0.057908274995332416, -0.27410991794683714, 0.06450679612515325, -0.19691083872352133, -0.07740520366298204, -0.07748469574884935, 0.028371725739403206, 0.07146264392543923, -0.20090259239077568, 0.0723152849399908, 0.10923482469198378, 0.17626259056851268, -0.032342220402576706, -0.08010009193623607, 0.05999854698099873, 0.06493245044045827, 0.006093663163483143, -0.05922378237697889, -0.004836038834500042, 0.0701916487146677, -0.11096552793275226, 0.3572470412843607, 0.009191749786788767, -0.23856789093803277, 0.2239053166386756, -0.1590019975873557, -0.24799342639744282, 0.05017880866812034, 0.2157805096569725, 0.04567061542448672, -0.07545630794695833, 0.10289502007865602, -0.07789938829161903, 0.09505419111387296, 0.12947398235767402, 0.04100077523087913, 0.09487128410149705, 0.18317333215170287, 0.05733157345093787, 0.20151481110687283, -0.045660768720236694, -0.02836584769697352, -0.38439343869686127, -0.11592794541105501, -0.16653686956587163, -0.02425763768207451, -0.19320381682403173, -0.2132444739955562, 0.4350190315056931, 0.1548495116558942, 0.09978426093320278, 0.10776980195871809, 0.2066273738376119, 0.022887086453424257, -0.03112351225519722, 0.019702505701306192, 0.04385929309170355, 0.22330610352483662, -0.015566292049532587, -0.19018786929717119, -0.0925757683263245, 0.23561808159998196] |
710.3515 | Remarks Concerning Lubotzky's Filtration | A discrete group which admits a faithful, finite dimensional, linear
representation over a field $\mathbb F$ of characteristic zero is called
linear. This note combines the natural structure of semi-direct products with
work of A. Lubotzky on the existence of linear representations to develop a
technique to give sufficient conditions to show that a semi-direct product is
linear.
Let $G$ denote a discrete group which is a semi-direct product given by a
split extension $1 \to \pi \to G \to \Gamma \to 1$. This note defines an
additional type of structure for this semi-direct product called a stable
extension below. The main results are as follows:
1. If $\pi$ and $\Gamma$ are linear, and the extension is stable, then $G$ is
also linear. Restrictions concerning this extension are necessary to guarantee
that $G$ is linear as seen from properties of the Formanek-Procesi "poison
group". 2. If the action of $\Gamma$ on $\pi$ has a "Galois-like" property that
it factors through the automorphisms of certain natural "towers of groups over
$\pi$" (to be defined below), then the associated extension is stable and thus
$G$ is linear. 3. The condition of a stable extension also implies that $G$
admits filtration quotients which themselves give a natural structure of Lie
algebra and which also imply earlier results of Kohno, and Falk-Randell on the
Lie algebra attached to the descending central series associated to the
fundamental groups of complex hyperplane complements.
The methods here suggest that a possible technique for obtaining new
linearity results may be to analyze automorphisms of towers of groups.
| math.GR | a discrete group which admits a faithful finite dimensional linear representation over a field mathbb f of characteristic zero is called linear this note combines the natural structure of semidirect products with work of a lubotzky on the existence of linear representations to develop a technique to give sufficient conditions to show that a semidirect product is linear let g denote a discrete group which is a semidirect product given by a split extension 1 to pi to g to gamma to 1 this note defines an additional type of structure for this semidirect product called a stable extension below the main results are as follows 1 if pi and gamma are linear and the extension is stable then g is also linear restrictions concerning this extension are necessary to guarantee that g is linear as seen from properties of the formanekprocesi poison group 2 if the action of gamma on pi has a galoislike property that it factors through the automorphisms of certain natural towers of groups over pi to be defined below then the associated extension is stable and thus g is linear 3 the condition of a stable extension also implies that g admits filtration quotients which themselves give a natural structure of lie algebra and which also imply earlier results of kohno and falkrandell on the lie algebra attached to the descending central series associated to the fundamental groups of complex hyperplane complements the methods here suggest that a possible technique for obtaining new linearity results may be to analyze automorphisms of towers of groups | [['a', 'discrete', 'group', 'which', 'admits', 'a', 'faithful', 'finite', 'dimensional', 'linear', 'representation', 'over', 'a', 'field', 'mathbb', 'f', 'of', 'characteristic', 'zero', 'is', 'called', 'linear', 'this', 'note', 'combines', 'the', 'natural', 'structure', 'of', 'semidirect', 'products', 'with', 'work', 'of', 'a', 'lubotzky', 'on', 'the', 'existence', 'of', 'linear', 'representations', 'to', 'develop', 'a', 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710.3516 | Realization of two Fourier-limited solid-state single-photon sources | We demonstrate two solid-state sources of indistinguishable single photons.
High resolution laser spectroscopy and optical microscopy were combined at T =
1.4 K to identify individual molecules in two independent microscopes. The
Stark effect was exploited to shift the transition frequency of a given
molecule and thus obtain single photon sources with perfect spectral overlap.
Our experimental arrangement sets the ground for the realization of various
quantum interference and information processing experiments.
| quant-ph | we demonstrate two solidstate sources of indistinguishable single photons high resolution laser spectroscopy and optical microscopy were combined at t 14 k to identify individual molecules in two independent microscopes the stark effect was exploited to shift the transition frequency of a given molecule and thus obtain single photon sources with perfect spectral overlap our experimental arrangement sets the ground for the realization of various quantum interference and information processing experiments | [['we', 'demonstrate', 'two', 'solidstate', 'sources', 'of', 'indistinguishable', 'single', 'photons', 'high', 'resolution', 'laser', 'spectroscopy', 'and', 'optical', 'microscopy', 'were', 'combined', 'at', 't', '14', 'k', 'to', 'identify', 'individual', 'molecules', 'in', 'two', 'independent', 'microscopes', 'the', 'stark', 'effect', 'was', 'exploited', 'to', 'shift', 'the', 'transition', 'frequency', 'of', 'a', 'given', 'molecule', 'and', 'thus', 'obtain', 'single', 'photon', 'sources', 'with', 'perfect', 'spectral', 'overlap', 'our', 'experimental', 'arrangement', 'sets', 'the', 'ground', 'for', 'the', 'realization', 'of', 'various', 'quantum', 'interference', 'and', 'information', 'processing', 'experiments']] | [-0.1319522504878401, 0.16722571853758164, -0.04352356658094156, 0.004138098909965598, -0.013863450637690618, -0.18026848200997206, 0.0977472099237813, 0.4646860564678488, -0.2518604280243457, -0.3541507904785095, -0.0011155349153264518, -0.35117659565638487, -0.03488898298926127, 0.2067480959575361, 0.009146565702599538, 0.08797105778218575, 0.04640831925552076, -0.01507020766623843, -0.011206441926179637, -0.17450611013919115, 0.23667575593408144, 0.05923539538323407, 0.34804897730461726, 0.050391333072747985, 0.13705196509688672, 0.020740180525561452, -0.011873079404812043, -0.046630858797842345, -0.09899855015510825, 0.12172668768276632, 0.27463117139545123, 0.04729125014919063, 0.18832354811610472, -0.41221833512396877, -0.23826780659474536, 0.06978436622073428, 0.1376028371922357, 0.15464579719971394, -0.07598376866986706, -0.2908146265421955, 0.012256324950369522, -0.08191667657188127, -0.07558685703150614, -0.06089211978070753, -0.03448276716271337, 0.019512782712847416, -0.24719688683931887, 0.0418042027043887, -0.03281370441849068, 0.10526281271234784, -0.053520382126189876, -0.08809204181184022, 0.0300175704104616, 0.13330128937828498, -0.11525358760755666, 0.023717568392052094, 0.1769490083368023, -0.11067466393218074, -0.17817256683614893, 0.36194857923497614, -0.07907735179571933, -0.09121312683736774, 0.19230778912790644, -0.21077931341452813, -0.10793990182073813, 0.18657652377216538, 0.08065402396285618, 0.11953938697320475, -0.11942846432138024, -0.015383028863883302, 0.018401326336176464, 0.22974974719781271, 0.159704028192619, 0.16525724307227302, 0.23120968087090993, 0.11000887029082843, 0.018604094713506564, 0.17792862045749183, -0.1821565618738532, -0.02406660636926306, -0.23781177335956566, -0.13253713598225633, -0.22862601037543845, 0.06381158252299146, -0.0517533309882733, -0.09581278769371533, 0.3336367972300086, 0.13927747957198552, 0.18315039417037451, -0.06353426011423514, 0.3406027633972256, 0.08093758837260882, 0.04900882237026809, -0.062016819402063925, 0.23499430466810584, 0.1563236502714088, 0.07967340255575911, -0.26911731644756565, -0.028451510516493778, -0.07557295804554728] |
710.3517 | Pulsar High-Energy Emission From the Polar Cap and Slot Gap | Forty years after the discovery of rotation-powered pulsars, we still do not
understand many aspects of their pulsed emission. In the last few years there
have been some fundamental developments in acceleration and emission models. I
will review both the basic physics of the models as well as the latest
developments in understanding the high-energy emission of rotation-powered
pulsars, with particular emphasis on the polar-cap and slot-gap models. Special
and general relativistic effects play important roles in pulsar emission, from
inertial frame-dragging near the stellar surface to aberration, time-of-flight
and retardation of the magnetic field near the light cylinder. Understanding
how these effects determine what we observe at different wavelengths is
critical to unraveling the emission physics. I will discuss how current and
future X-ray and gamma-ray detectors can test the predictions of these models.
| astro-ph | forty years after the discovery of rotationpowered pulsars we still do not understand many aspects of their pulsed emission in the last few years there have been some fundamental developments in acceleration and emission models i will review both the basic physics of the models as well as the latest developments in understanding the highenergy emission of rotationpowered pulsars with particular emphasis on the polarcap and slotgap models special and general relativistic effects play important roles in pulsar emission from inertial framedragging near the stellar surface to aberration timeofflight and retardation of the magnetic field near the light cylinder understanding how these effects determine what we observe at different wavelengths is critical to unraveling the emission physics i will discuss how current and future xray and gammaray detectors can test the predictions of these models | [['forty', 'years', 'after', 'the', 'discovery', 'of', 'rotationpowered', 'pulsars', 'we', 'still', 'do', 'not', 'understand', 'many', 'aspects', 'of', 'their', 'pulsed', 'emission', 'in', 'the', 'last', 'few', 'years', 'there', 'have', 'been', 'some', 'fundamental', 'developments', 'in', 'acceleration', 'and', 'emission', 'models', 'i', 'will', 'review', 'both', 'the', 'basic', 'physics', 'of', 'the', 'models', 'as', 'well', 'as', 'the', 'latest', 'developments', 'in', 'understanding', 'the', 'highenergy', 'emission', 'of', 'rotationpowered', 'pulsars', 'with', 'particular', 'emphasis', 'on', 'the', 'polarcap', 'and', 'slotgap', 'models', 'special', 'and', 'general', 'relativistic', 'effects', 'play', 'important', 'roles', 'in', 'pulsar', 'emission', 'from', 'inertial', 'framedragging', 'near', 'the', 'stellar', 'surface', 'to', 'aberration', 'timeofflight', 'and', 'retardation', 'of', 'the', 'magnetic', 'field', 'near', 'the', 'light', 'cylinder', 'understanding', 'how', 'these', 'effects', 'determine', 'what', 'we', 'observe', 'at', 'different', 'wavelengths', 'is', 'critical', 'to', 'unraveling', 'the', 'emission', 'physics', 'i', 'will', 'discuss', 'how', 'current', 'and', 'future', 'xray', 'and', 'gammaray', 'detectors', 'can', 'test', 'the', 'predictions', 'of', 'these', 'models']] | [-0.054444788448098635, 0.18433288397888342, -0.05137248849151311, 0.14316857958436702, -0.11962538487364159, -0.12128217053703136, -0.024094841196374207, 0.4172756131600451, -0.22586884889061803, -0.32713784320555905, 0.09679243377996263, -0.2928499281147702, -0.08761255189396992, 0.2707755442165459, -0.0226205551716568, 0.009223001805259156, 0.06095252200202258, -0.02193661147935523, -0.07441430525440308, -0.20556041990758214, 0.290147063329264, 0.12043405487374576, 0.22592963074092512, 0.09358917193970194, 0.04843915977204839, -0.027475698892441062, -0.06142498452078413, -0.034177361194182326, -0.1352570416300161, 0.0732207133525258, 0.25256579582106764, 0.14143919932518018, 0.22330461064422572, -0.48095520526619145, -0.26603483590728566, 0.06905281507513589, 0.15609693738321465, 0.08180395461731003, -0.07505847429942891, -0.25624730721529987, -0.025825107489557315, -0.17726876020983415, -0.16387552405811018, -0.0056991282557309775, 0.05343363487282423, 0.061304534978612706, -0.09908386994136015, 0.015708254358550118, 0.07176425085161571, 0.06496014723692227, -0.08886516750790178, -0.12200681845812748, 0.045608163178312004, 0.11392444182808201, 0.12458549983695977, 0.030892052641138434, 0.15596839080530184, -0.19440092428811584, -0.14931139584492753, 0.4042786920443177, -0.034728041020463465, -0.03970088248865472, 0.21129900079427494, -0.26503804535432546, -0.19366866001445388, 0.10614137307792489, 0.20633078741806524, 0.0798488945044853, -0.14651400455170208, 0.0361917400793, 0.00675385113529585, 0.12570151329316476, 0.04614805897904767, 0.1040925579960458, 0.3567686744310238, 0.17029868009698543, -0.05489918564799828, 0.05160192701258455, -0.19885579055278665, -0.05623577628284693, -0.30842680106353426, -0.08508149508938745, -0.06565281707724488, 0.10018894497027052, -0.026691688906996407, -0.10573386665157698, 0.418356541313093, 0.19512423526978603, 0.11601155124673689, -0.051849025774195236, 0.3022982640536847, 0.08923355421154863, 0.04365100879394622, 0.07907909284759727, 0.36804764796570116, 0.1553672873104612, 0.12809877918205329, -0.21355369541000713, 0.08148542940099206, -0.01830634727591166] |
710.3518 | HESS J1023-575: Non-thermal particle acceleration associated with the
young stellar cluster Westerlund 2 | The results from H.E.S.S. observations towards Westerlund 2 are presented.
The detection of very-high-energy gamma-ray emission towards the young stellar
cluster Westerlund 2 in the HII complex RCW49 by H.E.S.S. provides ample
evidence that particle acceleration to extreme energies is associated with this
region. A variety of possible emission scenarios is mentioned, ranging from
high-energy gamma-ray production in the colliding wind zone of the massive
Wolf-Rayet binary WR20a, collective wind scenarios, diffusive shock
acceleration at the boundaries of wind-blown bubbles in the stellar cluster,
and outbreak phenomena from hot stellar winds into the interstellar medium.
These scenarios are briefly compared to the characteristics of the associated
new VHE gamma-ray source HESS J1023-575, and conclusions on the validity of the
respective emission scenarios for high-energy gamma-ray production in the
Westerlund 2 system are drawn.
| astro-ph | the results from hess observations towards westerlund 2 are presented the detection of veryhighenergy gammaray emission towards the young stellar cluster westerlund 2 in the hii complex rcw49 by hess provides ample evidence that particle acceleration to extreme energies is associated with this region a variety of possible emission scenarios is mentioned ranging from highenergy gammaray production in the colliding wind zone of the massive wolfrayet binary wr20a collective wind scenarios diffusive shock acceleration at the boundaries of windblown bubbles in the stellar cluster and outbreak phenomena from hot stellar winds into the interstellar medium these scenarios are briefly compared to the characteristics of the associated new vhe gammaray source hess j1023575 and conclusions on the validity of the respective emission scenarios for highenergy gammaray production in the westerlund 2 system are drawn | [['the', 'results', 'from', 'hess', 'observations', 'towards', 'westerlund', '2', 'are', 'presented', 'the', 'detection', 'of', 'veryhighenergy', 'gammaray', 'emission', 'towards', 'the', 'young', 'stellar', 'cluster', 'westerlund', '2', 'in', 'the', 'hii', 'complex', 'rcw49', 'by', 'hess', 'provides', 'ample', 'evidence', 'that', 'particle', 'acceleration', 'to', 'extreme', 'energies', 'is', 'associated', 'with', 'this', 'region', 'a', 'variety', 'of', 'possible', 'emission', 'scenarios', 'is', 'mentioned', 'ranging', 'from', 'highenergy', 'gammaray', 'production', 'in', 'the', 'colliding', 'wind', 'zone', 'of', 'the', 'massive', 'wolfrayet', 'binary', 'wr20a', 'collective', 'wind', 'scenarios', 'diffusive', 'shock', 'acceleration', 'at', 'the', 'boundaries', 'of', 'windblown', 'bubbles', 'in', 'the', 'stellar', 'cluster', 'and', 'outbreak', 'phenomena', 'from', 'hot', 'stellar', 'winds', 'into', 'the', 'interstellar', 'medium', 'these', 'scenarios', 'are', 'briefly', 'compared', 'to', 'the', 'characteristics', 'of', 'the', 'associated', 'new', 'vhe', 'gammaray', 'source', 'hess', 'j1023575', 'and', 'conclusions', 'on', 'the', 'validity', 'of', 'the', 'respective', 'emission', 'scenarios', 'for', 'highenergy', 'gammaray', 'production', 'in', 'the', 'westerlund', '2', 'system', 'are', 'drawn']] | [-0.05221889889361407, 0.1684249256863574, -0.03106170206827889, 0.1609381841385345, -0.10431405258385983, -0.08313729953987145, 0.018877849031827952, 0.4350313451106107, -0.1763597820269266, -0.3253898687408607, 0.0021637798097908943, -0.3212185428106695, 0.024304306232615522, 0.25428092246262457, -0.00014451944722318708, -0.06551341547567706, 0.13930917263759257, -0.08218565569399275, 0.04812370228959262, -0.19217708872813255, 0.33685617489194064, 0.15118365188626418, 0.12747253724321359, 0.049577904753106875, 0.05580093307355839, -0.1400215381360788, -0.04257936963261826, -0.1067791395256982, -0.10233146999289738, 0.06121699964711653, 0.24788770998330942, 0.18290199819230998, 0.15376147034024834, -0.3413741932131518, -0.2956775109234609, 0.05818238642234776, 0.2264376356234928, -0.022790801574833187, -0.08647540720491285, -0.3590631578161374, 0.012846102160786776, -0.25234096774593334, -0.24645906500868442, 0.17438380289262623, 0.027899098534943823, 0.0738983067650614, -0.1704331556408617, 0.09958184189408233, -0.026874116197389487, 0.07436839593714453, -0.15804299589901238, -0.08856963900992773, -0.010267702820605802, 0.03262109907967199, 0.0789416661114901, 0.04703616097401407, 0.18957552624953022, -0.19057998794859232, -0.1123513287857623, 0.42679108626776396, 0.0401966095100248, 0.019341581550083663, 0.3065520980206311, -0.24128137265255017, -0.2328204834007455, 0.24174276505915546, 0.1835704093126762, 0.06177627119494784, -0.15998899883457593, 0.0241677496447473, -0.004395515237815846, 0.12012887583639388, 0.027108922681274048, 0.02771306308896694, 0.3273294127469224, 0.17017590238439634, 0.0033929599046399047, 0.1289768017061699, -0.28941239609778685, -0.060410041789632794, -0.30671997617622065, -0.0718483347620787, -0.11421954638632785, 0.09705292082153597, -0.16041761154595138, -0.08809871118711798, 0.346988962453797, 0.10660749055529223, 0.1543231437742514, -0.033239310642326235, 0.2983570560896979, 0.05571629476026261, -0.010089229302186715, 0.16312810810128772, 0.340731184348408, 0.15017278025038822, 0.1394386923157687, -0.20291665018031976, 0.0820622954699666, 0.0006826550986869891] |
710.3519 | P-matrix recognition is co-NP-complete | This is a summary of the proof by G.E. Coxson that P-matrix recognition is
co-NP-complete. The result follows by a reduction from the MAX CUT problem
using results of S. Poljak and J. Rohn.
| cs.CC | this is a summary of the proof by ge coxson that pmatrix recognition is conpcomplete the result follows by a reduction from the max cut problem using results of s poljak and j rohn | [['this', 'is', 'a', 'summary', 'of', 'the', 'proof', 'by', 'ge', 'coxson', 'that', 'pmatrix', 'recognition', 'is', 'conpcomplete', 'the', 'result', 'follows', 'by', 'a', 'reduction', 'from', 'the', 'max', 'cut', 'problem', 'using', 'results', 'of', 's', 'poljak', 'and', 'j', 'rohn']] | [-0.07468807522320386, 0.07121080297017188, -0.07862177818562045, 0.006764043704606593, -0.04021553359361309, -0.16027157942792683, 0.07376705533401533, 0.2618797194551338, -0.29166627020546887, -0.3226661628930632, 0.12451444958534205, -0.31181076552831766, -0.14623414523278674, 0.18432178550089398, -0.12169194036995935, -0.007722527466037057, 0.10829021352710146, -0.004558492056799658, -0.040635157002587664, -0.25360514858568256, 0.2860177680285591, 0.0023446941720039554, 0.22039040730945117, 0.09982818053245093, 0.056789584083934176, 0.0579353733072904, -0.024735488957076363, 0.044317408380183304, -0.16196773024950578, 0.12147485573112851, 0.2721871267086967, 0.21412616002966056, 0.2604714108235908, -0.2885361463960373, -0.11604784657670693, 0.056529089850796896, 0.07585205879965515, 0.07530092718926343, -0.010378164683722636, -0.23406939914054942, 0.1682751149108464, -0.11631496239340666, -0.06075908674040076, 0.0041871660981665955, 0.12197939842713601, -0.0004947086175282797, -0.28389983789317985, 0.07383234000228571, 0.2525955124786406, 0.056933297267691654, 0.0208829406183213, -0.19296135794314923, 0.0005482261379559835, 0.014917104448558706, 0.009281886951419327, 0.14486974920851714, 0.04047032846067326, -0.13303447525355627, -0.16316383969828938, 0.36935756931250746, -0.07645858890574539, -0.13498897521728367, 0.07659935793190291, -0.04060593992471695, -0.15273952798805002, 0.10791625291334861, 0.026731601577590813, 0.1648117108552745, -0.10051019475654219, 0.16345276432217692, -0.16080995091364125, 0.13977218306425845, 0.12305942239860694, -0.11860365170816128, 0.09578927507567586, 0.17821806558640674, 0.1130055147364284, 0.1553001902912828, -0.031447803262959824, 0.03412238430852691, -0.31172690348643245, -0.12950504391990375, -0.27046215455188893, 0.10263809321843313, -0.08341223510841232, -0.04646758103009426, 0.34384579631979717, 0.05537661709681605, 0.19711039580799866, 0.12866961735893379, 0.21784026836129752, 0.13744099830474818, 0.005307491798179619, 0.10870362499333693, 0.13521481478572683, 0.13908655322015737, 0.08579960883115277, -0.20657816483413405, 0.06216190202218114, 0.16653964945086927] |
710.352 | Three-way tiling sets in two dimensions | In this article we show that there exist measurable sets W in the plane with
finite measure that tile the plane in a measurable way under the action of a
expansive matrix A, an affine Weyl group W, and a full rank lattice G. This
note is follow-up research to the earlier article "Coxeter groups and wavelet
sets" by the first and second authors, and is also relevant to the earlier
article "Coxeter groups, wavelets, multiresolution and sampling" by M. Dobrescu
and the third author. After writing these two articles, the three authors
participated in a workshop at the Banff Center on "Operator methods in fractal
analysis, wavelets and dynamical systems," December 2 -- 7, 2006, organized by
O. Bratteli, P. Jorgensen, D. Kribs, G. Olafsson, and S. Silvestrov, and
discussed the interrelationships and differences between the articles, and
worked on two open problems posed in the Larson-Massopust article. We solved
part of Problem 2, including a surprising positive solution to a conjecture
that was raised, and we present our results in this article.
| math.FA | in this article we show that there exist measurable sets w in the plane with finite measure that tile the plane in a measurable way under the action of a expansive matrix a an affine weyl group w and a full rank lattice g this note is followup research to the earlier article coxeter groups and wavelet sets by the first and second authors and is also relevant to the earlier article coxeter groups wavelets multiresolution and sampling by m dobrescu and the third author after writing these two articles the three authors participated in a workshop at the banff center on operator methods in fractal analysis wavelets and dynamical systems december 2 7 2006 organized by o bratteli p jorgensen d kribs g olafsson and s silvestrov and discussed the interrelationships and differences between the articles and worked on two open problems posed in the larsonmassopust article we solved part of problem 2 including a surprising positive solution to a conjecture that was raised and we present our results in this article | [['in', 'this', 'article', 'we', 'show', 'that', 'there', 'exist', 'measurable', 'sets', 'w', 'in', 'the', 'plane', 'with', 'finite', 'measure', 'that', 'tile', 'the', 'plane', 'in', 'a', 'measurable', 'way', 'under', 'the', 'action', 'of', 'a', 'expansive', 'matrix', 'a', 'an', 'affine', 'weyl', 'group', 'w', 'and', 'a', 'full', 'rank', 'lattice', 'g', 'this', 'note', 'is', 'followup', 'research', 'to', 'the', 'earlier', 'article', 'coxeter', 'groups', 'and', 'wavelet', 'sets', 'by', 'the', 'first', 'and', 'second', 'authors', 'and', 'is', 'also', 'relevant', 'to', 'the', 'earlier', 'article', 'coxeter', 'groups', 'wavelets', 'multiresolution', 'and', 'sampling', 'by', 'm', 'dobrescu', 'and', 'the', 'third', 'author', 'after', 'writing', 'these', 'two', 'articles', 'the', 'three', 'authors', 'participated', 'in', 'a', 'workshop', 'at', 'the', 'banff', 'center', 'on', 'operator', 'methods', 'in', 'fractal', 'analysis', 'wavelets', 'and', 'dynamical', 'systems', 'december', '2', '7', '2006', 'organized', 'by', 'o', 'bratteli', 'p', 'jorgensen', 'd', 'kribs', 'g', 'olafsson', 'and', 's', 'silvestrov', 'and', 'discussed', 'the', 'interrelationships', 'and', 'differences', 'between', 'the', 'articles', 'and', 'worked', 'on', 'two', 'open', 'problems', 'posed', 'in', 'the', 'larsonmassopust', 'article', 'we', 'solved', 'part', 'of', 'problem', '2', 'including', 'a', 'surprising', 'positive', 'solution', 'to', 'a', 'conjecture', 'that', 'was', 'raised', 'and', 'we', 'present', 'our', 'results', 'in', 'this', 'article']] | [-0.1331738399944323, 0.10403195941514294, -0.08549646085867768, 0.028488684675026247, -0.0716374402947943, -0.09166234022430966, 0.06504303076551021, 0.36259130008847396, -0.2638354535851463, -0.2745804534951115, 0.11299718944698244, -0.3081787204821868, -0.1901782445335651, 0.17042976291165413, -0.09789484602344387, 0.0263527827029226, 0.07733634856447358, 0.019843696156407103, -0.06554838137235493, -0.33858423003009247, 0.3621197397875435, 0.00787836463902803, 0.23099730310358985, 0.047956304281251506, 0.08568294299697941, 0.007155842790106202, -0.11917285585556836, 0.02718772527159137, -0.1707307114600981, 0.14069298582548714, 0.29761048337882934, 0.10010539975346011, 0.2693827048214563, -0.3337262312333812, -0.13766715303063393, 0.10013386298190145, 0.10215334813932285, 0.030090127737425705, -0.04863318620824858, -0.3039104032658917, 0.07376748713226441, -0.17641645093184813, -0.1197124349692946, 0.003573694607407293, 0.1214178433703423, -0.023705237701206524, -0.2085823114365613, 0.03909137760792338, 0.1255170370443546, 0.12392296294736511, -0.05126018259153866, -0.12330135717056692, 0.012040108602548786, 0.10099952219793254, 0.023695684380500633, 0.07472494771389071, 0.02972582396092441, -0.019735687138403162, -0.15075780357480706, 0.3736371347954606, -0.03177677914585836, -0.17571818967322436, 0.1857126229442656, -0.17604600267676526, -0.21276170222965232, 0.0717066336532726, 0.16071851272135973, 0.10536893493759528, -0.12366873864084482, 0.14283392560695682, -0.10725749633274972, 0.12160154648111476, 0.13047506356447497, -0.06957405224606833, 0.11473302245140075, 0.09646916058297982, 0.059879479743540284, 0.11032870104673373, 0.004089168809792575, 0.006262612277094056, -0.3251264034825213, -0.16144824712263312, -0.1633044279687216, 0.029868716192568708, -0.025149733747478902, -0.11261847534709994, 0.41379635175690055, 0.10742884703966625, 0.16445511561982773, 0.023964214290711373, 0.18878654651343824, 0.04438066504594377, 0.004146371565772878, 0.07949240515967283, 0.14559886588112397, 0.16218767417046953, 0.10622651670675944, -0.14216249469404027, -0.03402544823475182, 0.1545872698277783] |
710.3521 | $C^*-$crossed product of groupoid actions on categories | Suppose that $G$ is a groupoid acting on a small category $H$ in the sense of
\cite[Definition 4]{NOT} and $H\times_\alpha G$ is the resulting semi-direct
product category (as in \cite[Proposition 8]{NOT}). We show that there exists a
subcategory $H_r \subseteq H$ satisfying some nice property called
``regularity'' such that $H_r \times_\alpha G = H\times_\alpha G$. Moreover, we
show that there exists a so-called ``quasi action'' (see Definition
\ref{quasi}) $\beta$ of $G$ on $C^*(H_r)$ (where $C^*(H_r)$ is the semigroupoid
$C^*$-algebra as defined in \cite{EXE}) such that $C^*(H_r\times_\alpha G) =
C^*(H_r)\times_\beta G$ (where the crossed product for $\beta$ is as defined in
Definition \ref{cross}).
| math.OA math.CT | suppose that g is a groupoid acting on a small category h in the sense of citedefinition 4not and htimes_alpha g is the resulting semidirect product category as in citeproposition 8not we show that there exists a subcategory h_r subseteq h satisfying some nice property called regularity such that h_r times_alpha g htimes_alpha g moreover we show that there exists a socalled quasi action see definition refquasi beta of g on ch_r where ch_r is the semigroupoid calgebra as defined in citeexe such that ch_rtimes_alpha g ch_rtimes_beta g where the crossed product for beta is as defined in definition refcross | [['suppose', 'that', 'g', 'is', 'a', 'groupoid', 'acting', 'on', 'a', 'small', 'category', 'h', 'in', 'the', 'sense', 'of', 'citedefinition', '4not', 'and', 'htimes_alpha', 'g', 'is', 'the', 'resulting', 'semidirect', 'product', 'category', 'as', 'in', 'citeproposition', '8not', 'we', 'show', 'that', 'there', 'exists', 'a', 'subcategory', 'h_r', 'subseteq', 'h', 'satisfying', 'some', 'nice', 'property', 'called', 'regularity', 'such', 'that', 'h_r', 'times_alpha', 'g', 'htimes_alpha', 'g', 'moreover', 'we', 'show', 'that', 'there', 'exists', 'a', 'socalled', 'quasi', 'action', 'see', 'definition', 'refquasi', 'beta', 'of', 'g', 'on', 'ch_r', 'where', 'ch_r', 'is', 'the', 'semigroupoid', 'calgebra', 'as', 'defined', 'in', 'citeexe', 'such', 'that', 'ch_rtimes_alpha', 'g', 'ch_rtimes_beta', 'g', 'where', 'the', 'crossed', 'product', 'for', 'beta', 'is', 'as', 'defined', 'in', 'definition', 'refcross']] | [-0.18408132412561984, 0.14245017992494546, -0.054235030689438725, 0.01840844829870469, -0.1078797050792238, -0.12764218861601598, -0.03174160840495935, 0.4267872292548418, -0.32597907002934295, -0.1872028480587608, 0.06150334094063905, -0.2398687685313432, -0.15464167036217355, 0.18062914112258865, -0.1492707703323306, -0.10934512853703421, 0.10263501564243241, 0.19334448937772084, -0.04668222849779894, -0.1617988656355959, 0.3752214959215211, -0.09317469107412288, 0.1859486177361206, 0.03432022770056906, 0.12173000939251126, -0.0008485732984769603, 0.04751858309053047, 0.06693766471226295, -0.2129588495433342, -0.019395344597085015, 0.26516700768843293, 0.11774509333317047, 0.26975346462669497, -0.26819171409284615, -0.11425410833781706, 0.21032484943735535, 0.08059358108110483, -0.15122874905152814, -0.05310300919075456, -0.2500553747193645, 0.11361489214165055, -0.23694723855663577, -0.06504223406638789, -0.03163967452659879, 0.19203473170004462, -0.05636187484892814, -0.33102070773020387, -0.027926415630170832, 0.12414831276375639, 0.06822861509863287, 0.0022361933142351713, -0.11270670322498874, -0.15012482806291108, 0.05059102154843023, -0.04842254836314722, 0.11135840440249961, 0.10726987227858246, -0.07873735256978999, -0.0658004341176306, 0.4215714703111545, -0.1565916160774498, -0.19333509857887807, 0.09909624318369543, -0.18164379327841426, -0.1977322821950783, 0.046087633666541915, 0.007412495739434076, 0.15952400292229393, 0.026705516937553235, 0.2633916921097451, -0.21452176109280274, 0.05580748346350763, 0.08709313765006221, 0.028438082638034677, 0.06103414712149812, 0.10802666885960523, 0.1490483669255374, 0.11427781222205934, 0.04611095333087217, 0.07347823948720875, -0.4029973657376578, -0.1640826631134943, -0.15996367607832604, 0.19108367838097087, -0.0578867123668201, -0.21932665806304177, 0.2975866671287171, 0.08815029006623461, 0.18636311854377552, 0.07654713469800419, 0.15528856244940392, 0.07349588307577347, 0.08672907541040331, 0.11447139922023306, 0.0965246719212661, 0.22464043027518885, -0.1137609957697113, -0.1256553798245833, 0.0038260346501255813, 0.20087382612425997] |
710.3522 | K-string tensions at finite temperature and integrable models | It has recently been pointed out that simple scaling properties of Polyakov
correlation functions of gauge systems in the confining phase suggest that the
ratios of k-string tensions in the low temperature region is constant up to
terms of order T^3. Here we argue that, at least in a three-dimensional Z_4
gauge model, the above ratios are constant in the whole confining phase. This
result is obtained by combining numerical experiments with known exact results
on the mass spectrum of an integrable two-dimensional spin model describing the
infrared behaviour of the gauge system near the deconfining transition.
| hep-lat hep-th | it has recently been pointed out that simple scaling properties of polyakov correlation functions of gauge systems in the confining phase suggest that the ratios of kstring tensions in the low temperature region is constant up to terms of order t3 here we argue that at least in a threedimensional z_4 gauge model the above ratios are constant in the whole confining phase this result is obtained by combining numerical experiments with known exact results on the mass spectrum of an integrable twodimensional spin model describing the infrared behaviour of the gauge system near the deconfining transition | [['it', 'has', 'recently', 'been', 'pointed', 'out', 'that', 'simple', 'scaling', 'properties', 'of', 'polyakov', 'correlation', 'functions', 'of', 'gauge', 'systems', 'in', 'the', 'confining', 'phase', 'suggest', 'that', 'the', 'ratios', 'of', 'kstring', 'tensions', 'in', 'the', 'low', 'temperature', 'region', 'is', 'constant', 'up', 'to', 'terms', 'of', 'order', 't3', 'here', 'we', 'argue', 'that', 'at', 'least', 'in', 'a', 'threedimensional', 'z_4', 'gauge', 'model', 'the', 'above', 'ratios', 'are', 'constant', 'in', 'the', 'whole', 'confining', 'phase', 'this', 'result', 'is', 'obtained', 'by', 'combining', 'numerical', 'experiments', 'with', 'known', 'exact', 'results', 'on', 'the', 'mass', 'spectrum', 'of', 'an', 'integrable', 'twodimensional', 'spin', 'model', 'describing', 'the', 'infrared', 'behaviour', 'of', 'the', 'gauge', 'system', 'near', 'the', 'deconfining', 'transition']] | [-0.14105374270992488, 0.1935426354536981, -0.07800653821443082, 0.03468297491661398, 0.008052730450368266, -0.1183505906992275, 0.032257604278316816, 0.382334905359702, -0.19255984599519635, -0.2637086816074461, 0.0811179709553565, -0.2879321515060884, -0.1537688314463444, 0.13577390411513446, 0.028152532916043204, 0.05551499113939779, -0.0369099467205479, 0.026755758784423322, -0.14246497690418408, -0.2367660930120991, 0.30626238600264505, 0.052631472650262495, 0.27450156128802095, 0.10471958796176867, 0.08197126043456386, -0.0664067344101549, 0.01575028246806301, 0.02894317491229662, -0.15059887136675637, -0.0049146394600573275, 0.19590914401000115, -0.003773970114182412, 0.13056691154986427, -0.34313212795970366, -0.25278838435379963, 0.08191327287781906, 0.17148931711892954, 0.10323422071379945, -0.03177410942747152, -0.25680343520625964, 0.05067419459666461, -0.15538553595446894, -0.18782220604546254, -0.0866211328137013, 0.011273825128284311, -0.04011320824418025, -0.22980163101414122, 0.10569226403226212, 0.01111564867332885, 0.050284025824290327, -0.06220204013486191, -0.11278564460244336, -0.052589349487085935, 0.08963097969415723, 0.10535904555101447, 0.07301512144544382, 0.10043520753550314, -0.17585648228798406, -0.09404528629666041, 0.3714456095302612, -0.09030232142018557, -0.15132632842479446, 0.18182223988936963, -0.18268664703061133, -0.16760143713027084, 0.16608027316457064, 0.10976917893846624, 0.10265489320088293, -0.1420157038193849, 0.1611405772798498, -0.06495626514403093, 0.16640611402882435, 0.040006241206675, 0.004427408938747398, 0.25573948866774127, 0.1483826369152779, 0.01518653392714938, 0.13838000392262853, -0.043866579418464266, -0.14397048267065404, -0.3400710093183923, -0.11022264321608297, -0.18043912809879817, 0.05096464063108121, -0.13115283376873307, -0.15001594641044275, 0.36399977958578733, 0.14193520008480734, 0.21822807902335814, 0.05908336659134894, 0.2344105699598866, 0.14683278068208816, 0.09310632157043468, 0.04444113280624151, 0.28806532274201974, 0.14367311847031347, 0.09110204059361797, -0.2882655506147091, -0.05116370867592158, 0.11512761710922129] |
710.3523 | A combinatorial framework for RNA tertiary interaction | In this paper we show how to express RNA tertiary interactions via the
concepts of tangled diagrams. Tangled diagrams allow to formulate RNA base
triples and pseudoknot-interactions and to control the maximum number of
mutually crossing arcs. In particular we study two subsets of tangled diagrams:
3-noncrossing tangled-diagrams with $\ell$ vertices of degree two and
2-regular, 3-noncrossing partitions (i.e. without arcs of the form $(i,i+1)$).
Our main result is an asymptotic formula for the number of 2-regular,
3-noncrossing partitions, denoted by $p_{3,2}(n)$, 3-noncrossing partitions
over $[n]$. The asymptotic formula is derived by the analytic theory of
singular difference equations due to Birkhoff-Trjitzinsky. Explicitly, we prove
the formula $p_{3,2}(n+1)\sim K 8^{n}n^{-7}(1+c_{1}/n+c_{2}/n^2+c_3/n^3)$ where
$K,c_i$, $i=1,2,3$ are constants.
| math.CO math.AP | in this paper we show how to express rna tertiary interactions via the concepts of tangled diagrams tangled diagrams allow to formulate rna base triples and pseudoknotinteractions and to control the maximum number of mutually crossing arcs in particular we study two subsets of tangled diagrams 3noncrossing tangleddiagrams with ell vertices of degree two and 2regular 3noncrossing partitions ie without arcs of the form ii1 our main result is an asymptotic formula for the number of 2regular 3noncrossing partitions denoted by p_32n 3noncrossing partitions over n the asymptotic formula is derived by the analytic theory of singular difference equations due to birkhofftrjitzinsky explicitly we prove the formula p_32n1sim k 8nn71c_1nc_2n2c_3n3 where kc_i i123 are constants | [['in', 'this', 'paper', 'we', 'show', 'how', 'to', 'express', 'rna', 'tertiary', 'interactions', 'via', 'the', 'concepts', 'of', 'tangled', 'diagrams', 'tangled', 'diagrams', 'allow', 'to', 'formulate', 'rna', 'base', 'triples', 'and', 'pseudoknotinteractions', 'and', 'to', 'control', 'the', 'maximum', 'number', 'of', 'mutually', 'crossing', 'arcs', 'in', 'particular', 'we', 'study', 'two', 'subsets', 'of', 'tangled', 'diagrams', '3noncrossing', 'tangleddiagrams', 'with', 'ell', 'vertices', 'of', 'degree', 'two', 'and', '2regular', '3noncrossing', 'partitions', 'ie', 'without', 'arcs', 'of', 'the', 'form', 'ii1', 'our', 'main', 'result', 'is', 'an', 'asymptotic', 'formula', 'for', 'the', 'number', 'of', '2regular', '3noncrossing', 'partitions', 'denoted', 'by', 'p_32n', '3noncrossing', 'partitions', 'over', 'n', 'the', 'asymptotic', 'formula', 'is', 'derived', 'by', 'the', 'analytic', 'theory', 'of', 'singular', 'difference', 'equations', 'due', 'to', 'birkhofftrjitzinsky', 'explicitly', 'we', 'prove', 'the', 'formula', 'p_32n1sim', 'k', '8nn71c_1nc_2n2c_3n3', 'where', 'kc_i', 'i123', 'are', 'constants']] | [-0.24436456327745265, 0.16777194033010004, -0.03785286363002784, 0.0936851680904644, -0.10147742162791824, -0.08683701994222238, 0.07863326438002015, 0.3155791627396958, -0.2843509323279792, -0.3049520231407443, -0.020664765958785327, -0.2769261175433362, -0.18840626354004605, 0.11899969951941743, -0.06007490229233245, -0.03734433831254003, 0.05851443278295663, 0.060259606576003474, 0.010885120762529177, -0.25068098195367106, 0.34592563643573077, -0.059785325293762424, 0.21342545996394452, 0.04545322882541276, 0.06400360951815313, 0.05227171856890766, -0.017764267118630606, 0.041339363197907125, -0.22563517223530954, 0.1539239972838363, 0.2760050709299538, 0.16201424809523063, 0.1583750151918022, -0.4126676758324061, -0.09171133148355769, 0.1673708942231782, 0.19863127801597222, 0.057444919567179245, 0.07192340698050455, -0.2125356486707994, 0.15173288557780992, -0.14942916565045497, -0.1374315759936057, -0.05640843385454575, 0.06667937178574844, 0.07717906612979777, -0.28443347206424685, -0.0050934837092944515, 0.10683109653139607, 0.08712961547794419, -0.011388948546090258, -0.15193442858909384, -0.04642059733245282, 0.11729609906041158, 0.023387123901106484, 0.01602549392328418, 0.023557502594285157, -0.09399352480503602, -0.1567139663661984, 0.3117540321086422, -0.0017828543162092976, -0.21729345429569072, 0.09351792107250781, -0.15193768787633524, -0.16452019072966564, 0.1394645417677324, 0.08249280397532456, 0.15153479155306832, -0.10265006526552756, 0.13817188372555694, -0.0703794279674051, 0.08655544386646889, 0.15546936971143982, 0.005069768353185932, 0.16451320039757758, 0.03497398932413155, 0.05841262061405209, 0.2387613355558058, -0.014274526246473056, -0.08395032696169588, -0.29836528202723883, -0.1556882457636775, -0.15099777288119728, 0.050197869112048675, -0.16888130610819946, -0.24121863345846262, 0.3413389417398379, 0.0845780317851026, 0.22342041398237306, 0.13501007867114054, 0.24582321539418686, 0.0723077819624984, 0.04343320867644811, 0.0521517376748657, 0.06970478370443943, 0.21361418873703944, -0.04865865380430611, -0.1916794824721548, 0.05064501582832853, 0.19301750548525687] |
710.3524 | Construction of potentials using mixed scattering data | The long-standing problem of constructing a potential from mixed scattering
data is discussed. We first consider the fixed-$\ell$ inverse scattering
problem. We show that the zeros of the regular solution of the Schr\"odinger
equation, $r_{n}(E)$ which are monotonic functions of the energy, determine a
unique potential when the domain of energy is such that the $r_{n}(E)$'s range
from zero to infinity. The latter method is applied to the domain $\{E \geq
E_0, \ell=\ell_0 \} \cup \{E=E_0, \ell \geq \ell_0 \}$ for which the zeros of
the regular solution are monotonic in both parts of the domain and still range
from zero to infinity. Our analysis suggests that a unique potential can be
obtained from the mixed scattering data $\{\delta(\ell_0,k), k \geq k_0 \} \cup
\{\delta(\ell,k_0), \ell \geq \ell_0 \}$ provided that certain integrability
conditions required for the fixed $\ell$-problem, are fulfilled. The uniqueness
is demonstrated using the JWKB approximation.
| math-ph hep-th math.MP | the longstanding problem of constructing a potential from mixed scattering data is discussed we first consider the fixedell inverse scattering problem we show that the zeros of the regular solution of the schrodinger equation r_ne which are monotonic functions of the energy determine a unique potential when the domain of energy is such that the r_nes range from zero to infinity the latter method is applied to the domain e geq e_0 ellell_0 cup ee_0 ell geq ell_0 for which the zeros of the regular solution are monotonic in both parts of the domain and still range from zero to infinity our analysis suggests that a unique potential can be obtained from the mixed scattering data deltaell_0k k geq k_0 cup deltaellk_0 ell geq ell_0 provided that certain integrability conditions required for the fixed ellproblem are fulfilled the uniqueness is demonstrated using the jwkb approximation | [['the', 'longstanding', 'problem', 'of', 'constructing', 'a', 'potential', 'from', 'mixed', 'scattering', 'data', 'is', 'discussed', 'we', 'first', 'consider', 'the', 'fixedell', 'inverse', 'scattering', 'problem', 'we', 'show', 'that', 'the', 'zeros', 'of', 'the', 'regular', 'solution', 'of', 'the', 'schrodinger', 'equation', 'r_ne', 'which', 'are', 'monotonic', 'functions', 'of', 'the', 'energy', 'determine', 'a', 'unique', 'potential', 'when', 'the', 'domain', 'of', 'energy', 'is', 'such', 'that', 'the', 'r_nes', 'range', 'from', 'zero', 'to', 'infinity', 'the', 'latter', 'method', 'is', 'applied', 'to', 'the', 'domain', 'e', 'geq', 'e_0', 'ellell_0', 'cup', 'ee_0', 'ell', 'geq', 'ell_0', 'for', 'which', 'the', 'zeros', 'of', 'the', 'regular', 'solution', 'are', 'monotonic', 'in', 'both', 'parts', 'of', 'the', 'domain', 'and', 'still', 'range', 'from', 'zero', 'to', 'infinity', 'our', 'analysis', 'suggests', 'that', 'a', 'unique', 'potential', 'can', 'be', 'obtained', 'from', 'the', 'mixed', 'scattering', 'data', 'deltaell_0k', 'k', 'geq', 'k_0', 'cup', 'deltaellk_0', 'ell', 'geq', 'ell_0', 'provided', 'that', 'certain', 'integrability', 'conditions', 'required', 'for', 'the', 'fixed', 'ellproblem', 'are', 'fulfilled', 'the', 'uniqueness', 'is', 'demonstrated', 'using', 'the', 'jwkb', 'approximation']] | [-0.13557251914005194, 0.07437903733558154, -0.08345839432440698, 0.06142068045280342, -0.06557201667622264, -0.12735254561328993, 0.0060005305368187175, 0.325238852349243, -0.3351491623558104, -0.2310923703547035, 0.11504001020803116, -0.31124956269216325, -0.10347207912044333, 0.1694101701490581, 0.011062961613892445, 0.07180796989040183, 0.053098394282694375, 0.06746398843492248, -0.05592296744330919, -0.1973476463280219, 0.34027892171538304, -0.029143937500858946, 0.24115245596372656, 0.10124230536499194, 0.08532841991816115, 0.013931988118019944, 0.04037027273859296, -0.007764255155676178, -0.16624235105472118, 0.06857438897755595, 0.2563796348021632, 0.12758453457749316, 0.24595709765063864, -0.3723262457443135, -0.18630711853371135, 0.1778868940475929, 0.16254367650420007, 0.05187799832118409, -0.03183952563558705, -0.25005026864154, 0.15012608917064166, -0.0751546274737588, -0.16120799980458936, -0.05631202984534736, 0.06037027989181557, 0.02653465279644089, -0.33600360212315405, 0.09561365592027349, 0.08162758223978536, 0.020294680411461742, -0.11128162328885602, -0.1778889999758186, -0.014199266581064357, 0.09502756177784509, 0.06540955757705628, 0.0595146464849157, 0.04026575679890811, -0.1184639745624736, -0.04826230546792171, 0.35211737929577275, -0.053721331881492265, -0.20569037360006145, 0.1366581130440214, -0.1717756768788344, -0.07407095664779523, 0.1372913068892168, 0.10350685680418142, 0.17231711554673634, -0.10700560086126124, 0.17432497901068666, -0.053179545923194384, 0.14850089965787316, 0.101280481930423, -0.035253195961870785, 0.1489415431195604, 0.11329117656194805, 0.11048324403486082, 0.12795379251225053, -0.054252221235739334, -0.03586107141205243, -0.37372954322823454, -0.10937727197306231, -0.23998226958460042, 0.08540715101324688, -0.10120324441221393, -0.1353747640736401, 0.35272339076868126, 0.1280229268063392, 0.20691621001543745, 0.07982987423560449, 0.2342826414188104, 0.1692042652226519, 0.030378653356871968, 0.0723810212054689, 0.18658969109944468, 0.1198574414909152, 0.07120021535083651, -0.23385961205432457, -0.0193238365497174, 0.03948964077946065] |
710.3525 | Radiative B-L symmetry breaking in supersymmetric models | We propose a scheme where the three relevant physics scales related to the
supersymmetry, electroweak, and baryon minus lepton (B-L) breakings are linked
together and occur at the TeV scale. The phenomenological implications in the
Higgs and leptonic sectors are discussed.
| hep-ph | we propose a scheme where the three relevant physics scales related to the supersymmetry electroweak and baryon minus lepton bl breakings are linked together and occur at the tev scale the phenomenological implications in the higgs and leptonic sectors are discussed | [['we', 'propose', 'a', 'scheme', 'where', 'the', 'three', 'relevant', 'physics', 'scales', 'related', 'to', 'the', 'supersymmetry', 'electroweak', 'and', 'baryon', 'minus', 'lepton', 'bl', 'breakings', 'are', 'linked', 'together', 'and', 'occur', 'at', 'the', 'tev', 'scale', 'the', 'phenomenological', 'implications', 'in', 'the', 'higgs', 'and', 'leptonic', 'sectors', 'are', 'discussed']] | [-0.08735432103276253, 0.3202261786862481, 0.00513830018888523, 0.2505587843224043, -0.11821140197855307, -0.19688728924772544, 0.00794547755362057, 0.29734837745384474, -0.22082779028384789, -0.2898835731079666, 0.07999893646721341, -0.27465098925934334, -0.0017882116684099522, 0.08689003576320119, 0.06889735191787888, 0.06355041924228029, -0.047908171148198404, -0.03050108726431684, -0.027950883161549162, -0.24570473619714017, 0.30239108350218796, 0.012469687135662974, 0.22089040235093818, 0.10762169289334518, 0.09493864350384329, -0.0857477631226818, -0.11639655601210529, -0.08097340766249633, -0.12002138945660214, 0.057592301964532674, 0.18474261853389623, 0.045799465708025705, 0.09739041226211845, -0.388072723113909, -0.1265745473026139, 0.16585038550107217, 0.13685575605756262, 0.12007531887147485, -0.0452992644603932, -0.30338656336705133, 0.08492223257426082, -0.20496249255701537, -0.11187934686952247, -0.06566998640802212, -0.08301680416959088, -0.1029561150183038, -0.3047956757065726, 0.14613999726205337, -0.11827738635332846, 0.02319872917652857, -0.012752471287257788, -0.17413650248654006, -0.0972937227499376, 0.0009883483531089817, 0.2511603168393599, -0.023170769316848458, 0.1470459031179638, -0.19095107090727584, -0.24298676630345786, 0.498990863652491, 0.04620005749166012, -0.12634407925964675, 0.17731917958434035, -0.17496893350489257, -0.24770913634267522, 0.08385739661753178, 0.1915273998250685, 0.033209373663384015, -0.10286231643361289, 0.2062128053753773, -0.011778099882620864, 0.11621127854578378, 0.03930191516240195, 0.10865442900032532, 0.30466313346675256, 0.22095585494052347, 0.020431393280443622, 0.03613530948939847, -0.08282182860279047, -0.07449757780243711, -0.5499709390285539, -0.058786658524740035, -0.06437586338781728, 0.01566994235646434, -0.05752285473260222, -0.009617569561048252, 0.465414341741008, 0.1335959877001076, 0.2889953445325174, -0.01932252782237966, 0.24293271134175906, 0.054227694630532, 0.110647678602396, 0.03897537883916279, 0.29869904584910084, 0.11812466682820785, 0.18319067022785906, -0.2700561964657249, -0.07029716759102374, 0.11535829139260076] |
710.3526 | Clumping effects on non-thermal particle spectra in massive star systems | Observational evidence exists that winds of massive stars are clumped. Many
massive star systems are known as non-thermal particle production sites, as
indicated by their synchrotron emission in the radio band. As a consequence
they are also considered as candidate sites for non-thermal high-energy photon
production up to gamma-ray energies. The present work considers the effects of
wind clumpiness expected on the emitting relativistic particle spectrum in
colliding wind systems, built up from the pool of thermal wind particles
through diffusive particle acceleration, and taking into account inverse
Compton and synchrotron losses. In comparison to a homogeneous wind, a clumpy
wind causes flux variations of the emitting particle spectrum when the clump
enters the wind collision region. It is found that the spectral features
associated with this variability moves temporally from low to high energy bands
with the time shift between any two spectral bands being dependent on clump
size, filling factor, and the energy-dependence of particle energy gains and
losses.
| astro-ph | observational evidence exists that winds of massive stars are clumped many massive star systems are known as nonthermal particle production sites as indicated by their synchrotron emission in the radio band as a consequence they are also considered as candidate sites for nonthermal highenergy photon production up to gammaray energies the present work considers the effects of wind clumpiness expected on the emitting relativistic particle spectrum in colliding wind systems built up from the pool of thermal wind particles through diffusive particle acceleration and taking into account inverse compton and synchrotron losses in comparison to a homogeneous wind a clumpy wind causes flux variations of the emitting particle spectrum when the clump enters the wind collision region it is found that the spectral features associated with this variability moves temporally from low to high energy bands with the time shift between any two spectral bands being dependent on clump size filling factor and the energydependence of particle energy gains and losses | [['observational', 'evidence', 'exists', 'that', 'winds', 'of', 'massive', 'stars', 'are', 'clumped', 'many', 'massive', 'star', 'systems', 'are', 'known', 'as', 'nonthermal', 'particle', 'production', 'sites', 'as', 'indicated', 'by', 'their', 'synchrotron', 'emission', 'in', 'the', 'radio', 'band', 'as', 'a', 'consequence', 'they', 'are', 'also', 'considered', 'as', 'candidate', 'sites', 'for', 'nonthermal', 'highenergy', 'photon', 'production', 'up', 'to', 'gammaray', 'energies', 'the', 'present', 'work', 'considers', 'the', 'effects', 'of', 'wind', 'clumpiness', 'expected', 'on', 'the', 'emitting', 'relativistic', 'particle', 'spectrum', 'in', 'colliding', 'wind', 'systems', 'built', 'up', 'from', 'the', 'pool', 'of', 'thermal', 'wind', 'particles', 'through', 'diffusive', 'particle', 'acceleration', 'and', 'taking', 'into', 'account', 'inverse', 'compton', 'and', 'synchrotron', 'losses', 'in', 'comparison', 'to', 'a', 'homogeneous', 'wind', 'a', 'clumpy', 'wind', 'causes', 'flux', 'variations', 'of', 'the', 'emitting', 'particle', 'spectrum', 'when', 'the', 'clump', 'enters', 'the', 'wind', 'collision', 'region', 'it', 'is', 'found', 'that', 'the', 'spectral', 'features', 'associated', 'with', 'this', 'variability', 'moves', 'temporally', 'from', 'low', 'to', 'high', 'energy', 'bands', 'with', 'the', 'time', 'shift', 'between', 'any', 'two', 'spectral', 'bands', 'being', 'dependent', 'on', 'clump', 'size', 'filling', 'factor', 'and', 'the', 'energydependence', 'of', 'particle', 'energy', 'gains', 'and', 'losses']] | [-0.07633609492953589, 0.2245406764834217, -0.03766755495359254, 0.14215352812923654, -0.06062976575329298, -0.0997419333192433, 0.03398293475273372, 0.4279937515069979, -0.22752431862241362, -0.33583435919482885, 0.01791383377030515, -0.3121348499256817, 0.030572569602232726, 0.20978372482227173, 0.023793523293675463, -0.04430332350087647, 0.08172004617264737, -0.07324036502609065, 0.022283214200447134, -0.14306211928686602, 0.3279651114008511, 0.14666782383754942, 0.1974533859858006, 0.06890608464304057, 0.08641942383964425, -0.0695005024487575, -0.030081049353679678, -0.002741427024861115, -0.06839356885874798, 0.042330234350386416, 0.18241881735345222, 0.075858109504829, 0.20080679031783102, -0.40252916822614876, -0.2942733297107151, 0.07588708290312532, 0.2011956982488125, 0.004585880549011393, -0.06411822964017921, -0.2157164436565446, -0.01928444752998951, -0.23096192575216015, -0.16112299267815786, 0.061760463239914326, 0.028576829132294247, 0.058068511787778845, -0.24698052236590512, 0.11634934373776232, 0.0029073451459118577, 0.024915029662111718, -0.11153608005239356, -0.07820777908858398, -0.07664881908097622, 0.05347880881814061, 0.12022435258327757, 0.0035942547277819296, 0.23210963359686854, -0.14109025507303452, -0.08169824772323511, 0.45726631101660475, -0.048427436667095335, -0.06885924324485826, 0.23863314352466825, -0.21553055543788008, -0.13189113296579963, 0.24484224764988843, 0.18065623056883953, 0.05450967360021813, -0.13838431287619432, 0.007717610323282467, 0.01169985251628464, 0.15650108940855986, 0.061756705659910205, 0.08205485782985177, 0.29887943744937084, 0.14248238434951452, 0.025636377165553895, 0.1422451437965776, -0.20536416999869894, -0.05051463219099996, -0.27990409970480185, -0.09139088952844465, -0.15992035623639822, 0.07388364885223636, -0.12913454161423277, -0.14354434608256225, 0.3490171851705968, 0.07349412692913218, 0.16889791354907224, -0.009836102150357472, 0.32919712195401396, 0.16559581778746862, 0.05738670687387865, 0.18103849771866423, 0.28029533580628146, 0.13481799904575212, 0.14501668654833427, -0.242009650064077, 0.045362113682865544, -0.018470784255899257] |
710.3527 | Toward theory of quantum Hall effect in graphene | We analyze a gap equation for the propagator of Dirac quasiparticles and
conclude that in graphene in a magnetic field, the order parameters connected
with the quantum Hall ferromagnetism dynamics and those connected with the
magnetic catalysis dynamics necessarily coexist (the latter have the form of
Dirac masses and correspond to excitonic condensates). This feature of graphene
could lead to important consequences, in particular, for the existence of
gapless edge states. Solutions of the gap equation corresponding to recently
experimentally discovered novel plateaus in graphene in strong magnetic fields
are described.
| cond-mat.mes-hall hep-th | we analyze a gap equation for the propagator of dirac quasiparticles and conclude that in graphene in a magnetic field the order parameters connected with the quantum hall ferromagnetism dynamics and those connected with the magnetic catalysis dynamics necessarily coexist the latter have the form of dirac masses and correspond to excitonic condensates this feature of graphene could lead to important consequences in particular for the existence of gapless edge states solutions of the gap equation corresponding to recently experimentally discovered novel plateaus in graphene in strong magnetic fields are described | [['we', 'analyze', 'a', 'gap', 'equation', 'for', 'the', 'propagator', 'of', 'dirac', 'quasiparticles', 'and', 'conclude', 'that', 'in', 'graphene', 'in', 'a', 'magnetic', 'field', 'the', 'order', 'parameters', 'connected', 'with', 'the', 'quantum', 'hall', 'ferromagnetism', 'dynamics', 'and', 'those', 'connected', 'with', 'the', 'magnetic', 'catalysis', 'dynamics', 'necessarily', 'coexist', 'the', 'latter', 'have', 'the', 'form', 'of', 'dirac', 'masses', 'and', 'correspond', 'to', 'excitonic', 'condensates', 'this', 'feature', 'of', 'graphene', 'could', 'lead', 'to', 'important', 'consequences', 'in', 'particular', 'for', 'the', 'existence', 'of', 'gapless', 'edge', 'states', 'solutions', 'of', 'the', 'gap', 'equation', 'corresponding', 'to', 'recently', 'experimentally', 'discovered', 'novel', 'plateaus', 'in', 'graphene', 'in', 'strong', 'magnetic', 'fields', 'are', 'described']] | [-0.21302357963849228, 0.2201486005368489, -0.056584967515216425, 0.05269552873073985, -0.049421333467362674, -0.1412819462859041, 0.028939941204613545, 0.35363639461306423, -0.2452950672154407, -0.29609785994494353, -0.00056036814131293, -0.28419378844018167, -0.17128219621276464, 0.1438145744153759, 0.033961343801590604, 0.04538593015500477, -0.00438363747133945, -0.004489234556536098, -0.05316307564818679, -0.19732859948967266, 0.3559362982184841, -0.04625669197092385, 0.2741894253457968, 0.09779792859290655, 0.02088267825912316, -0.0623281846887299, 0.12645525359395113, 0.04107500459732754, -0.13622782784451765, 0.06218836004372461, 0.24281874524204286, -0.10435417123589215, 0.2060052442702127, -0.4722226154836979, -0.2096727957416858, 0.054852430534723044, 0.16209176971812497, 0.14011255166605935, -0.09157715906046208, -0.3139368106744119, 0.05667853584656349, -0.12435637855554348, -0.18440521521759884, -0.10019266521455822, -0.0011391595484443254, -0.025931291886001497, -0.22120086742298944, 0.11843634139910177, 0.04512701117674114, 0.016064143529837274, -0.12452688010839316, -0.11160020304045506, -0.082098436367872, 0.07762521193209258, 0.043330356427519534, 0.006758374745374197, 0.08965344126261118, -0.2031075982146661, -0.1694339256897405, 0.36674944214154404, -0.05370600589750601, -0.13756257471638722, 0.18046842937122334, -0.18349005476505095, -0.08381787429123626, 0.14601388565459095, 0.13506707224155684, 0.07683254616683001, -0.14246278405598886, 0.11068572150359435, -0.0470512298007424, 0.08901722840760108, 0.05051181288781463, 0.12996294799230093, 0.2876327717881445, 0.15263000811299227, 0.0610554218215479, 0.12464251986878751, -0.06355811990439318, -0.08773700619157362, -0.24821640462051708, -0.1983349212128055, -0.19683211081876203, 0.08614584311310734, -0.02967324858012604, -0.21894483576313808, 0.44733816643429736, 0.18756993388204457, 0.1942592412540382, -0.06711058364669373, 0.19530917949728913, 0.17166658824023145, 0.09499447193037677, 0.07089740759437228, 0.28246320635694394, 0.20627403401022593, 0.11200358700211886, -0.27822047642913167, -0.0013407316253326096, 0.029038272468644388] |
710.3528 | The H.E.S.S. survey of the inner Galactic plane | The High Energy Stereoscopic System (H.E.S.S.), located in the Khomas
Highlands of Namibia, is an array of four imaging atmospheric-Cherenkov
telescopes designed to detect gamma-rays in the very high energy (VHE; > 100
GeV) domain. Its high sensitivity and large field-of-view (5 deg) make it an
ideal instrument to perform a survey within the Galactic plane for new VHE
sources. Previous observations in 2004/2005 resulted in numerous detections of
VHE gamma-ray emitters in the region l = 330 deg - 30 deg Galactic longitude.
Recently the survey was extended, covering the regions l = 280 deg - 330 deg
and l = 30 deg - 60 deg, leading to the discovery of several previously unknown
sources with high statistical significance. The current status of the survey
will be presented.
| astro-ph | the high energy stereoscopic system hess located in the khomas highlands of namibia is an array of four imaging atmosphericcherenkov telescopes designed to detect gammarays in the very high energy vhe 100 gev domain its high sensitivity and large fieldofview 5 deg make it an ideal instrument to perform a survey within the galactic plane for new vhe sources previous observations in 20042005 resulted in numerous detections of vhe gammaray emitters in the region l 330 deg 30 deg galactic longitude recently the survey was extended covering the regions l 280 deg 330 deg and l 30 deg 60 deg leading to the discovery of several previously unknown sources with high statistical significance the current status of the survey will be presented | [['the', 'high', 'energy', 'stereoscopic', 'system', 'hess', 'located', 'in', 'the', 'khomas', 'highlands', 'of', 'namibia', 'is', 'an', 'array', 'of', 'four', 'imaging', 'atmosphericcherenkov', 'telescopes', 'designed', 'to', 'detect', 'gammarays', 'in', 'the', 'very', 'high', 'energy', 'vhe', '100', 'gev', 'domain', 'its', 'high', 'sensitivity', 'and', 'large', 'fieldofview', '5', 'deg', 'make', 'it', 'an', 'ideal', 'instrument', 'to', 'perform', 'a', 'survey', 'within', 'the', 'galactic', 'plane', 'for', 'new', 'vhe', 'sources', 'previous', 'observations', 'in', '20042005', 'resulted', 'in', 'numerous', 'detections', 'of', 'vhe', 'gammaray', 'emitters', 'in', 'the', 'region', 'l', '330', 'deg', '30', 'deg', 'galactic', 'longitude', 'recently', 'the', 'survey', 'was', 'extended', 'covering', 'the', 'regions', 'l', '280', 'deg', '330', 'deg', 'and', 'l', '30', 'deg', '60', 'deg', 'leading', 'to', 'the', 'discovery', 'of', 'several', 'previously', 'unknown', 'sources', 'with', 'high', 'statistical', 'significance', 'the', 'current', 'status', 'of', 'the', 'survey', 'will', 'be', 'presented']] | [-0.11061158298431766, 0.11937028572147476, 0.03364376948963179, 0.08425352838917131, -0.15734469770743956, -0.07566717995681846, 0.05596159008469005, 0.41303640677303566, -0.18806746689083634, -0.468736092056163, 0.08197744345563449, -0.35120562361705987, 0.040378054916919745, 0.21881596708181697, -0.030107600873738878, -0.04100111415504753, 0.09157314538606443, -0.10966635722720415, 0.039912874150074655, -0.2210618420122344, 0.11123122274112261, 0.24421293085601303, 0.19950457068625838, 0.002796711526108814, 0.13911270741640483, -0.07650093992477375, -0.057852450055552104, -0.06531769001367883, -0.1330004965077292, 0.03847756817341461, 0.3241933309854787, 0.13162049380909713, 0.196155182902747, -0.25917113891451576, -0.14620090931936428, 0.06581856638620623, 0.15523679744877822, -0.08372617115220818, 0.0026171608726860435, -0.3459676435049318, 0.05694849209737827, -0.1998097979860594, -0.24360517207456783, 0.1239732478699479, 0.05072695995894734, 0.02596069077701598, -0.14157161671194995, 0.029816971400935876, -0.053100041045089724, 0.1935404722013923, -0.10552560776323233, -0.18954902096769818, 0.04484041402360699, 0.025749603965792987, -0.009449059466190148, 0.17781616381720686, 0.12312380967997626, -0.14133700844450076, -0.07012983384832251, 0.3444185445054633, -0.0027280980892876376, -0.0067885832013715, 0.2004588313484717, -0.2831589154914388, -0.21263059165298206, 0.27823349886447896, 0.1761097518925662, 0.0831896496920457, -0.20366297859209972, 0.08486372004091343, -0.0040600338767542215, 0.22844117846278872, 0.08123531578238442, 0.037188851759295725, 0.2782909205549809, 0.1287124324523172, 0.11937014131136926, 0.12287163944556148, -0.4317838250674674, 0.003865808408829521, -0.2545363979173641, -0.05931400016931145, -0.111622555560211, 0.09890400086812003, -0.09765685730796025, -0.04010401609578918, 0.40492144989643675, 0.09879840120718983, 0.19453252083812764, -0.02194214881909248, 0.276131910184154, -0.02883480370930228, 0.08229518644740713, 0.08492453130091861, 0.4018721078507236, 0.12101040160298714, 0.16733152367418908, -0.0905196873135254, -0.03663421524917615, -0.11632923620607948] |
710.3529 | Scalable experimental estimation of multipartite entanglement | We present an efficient experimental estimation of the multipartite
entanglement of mixed quantum states in terms of simple parity measurements.
| quant-ph | we present an efficient experimental estimation of the multipartite entanglement of mixed quantum states in terms of simple parity measurements | [['we', 'present', 'an', 'efficient', 'experimental', 'estimation', 'of', 'the', 'multipartite', 'entanglement', 'of', 'mixed', 'quantum', 'states', 'in', 'terms', 'of', 'simple', 'parity', 'measurements']] | [-0.1816218686988577, 0.22782129387560418, -0.08678212739760056, 0.022130299935815854, 0.04203873281367123, -0.18042515385895969, 0.030778478807769717, 0.31227066926658154, -0.19003036841750146, -0.2596150994300842, 0.039595784147968514, -0.24548792708665132, -0.10301880110055209, 0.1400747274979949, -0.06329555292613805, 0.18218060955405235, 0.10309450775384903, 0.03148013781756163, -0.10205785508733242, -0.24239111160859467, 0.28813117295503615, 0.04427573761786334, 0.29812379614450035, 0.12928436240181326, 0.08923533689230681, 0.04262274291832, 0.020428044232539834, -0.005376511439681053, -0.14200633745640517, 0.19360026440990624, 0.33496052701957524, 0.16113988664001228, 0.17105446048080922, -0.4579765507020056, -0.16019621826708316, 0.1398834591731429, 0.08498279768973589, 0.24046992603689432, -0.08743522986769676, -0.3434130476787686, -0.017425736412405968, -0.2101536851376295, -0.0684425225481391, -0.17928258515894413, -0.017416481161490083, -0.16355500258505346, -0.27943803556263447, 0.1841635354794562, 0.024604966305196284, 0.12204660880379378, -0.021055085677653552, -0.0836125010624528, 0.06766829863190651, 0.11147876344621181, -0.16957266395911574, -0.1200877366354689, 0.04829473544377834, -0.15831288844347, -0.2802544144913554, 0.32076427126303314, -0.0613293259870261, -0.2180642898194492, 0.14323399756103755, -0.05482910266146064, -0.17805170062929393, -0.002620416134595871, 0.16229319116100668, 0.18256839979439973, -0.06705234651453792, 0.015335848624818026, -0.11325267534703017, 0.1664433790370822, -0.041005518799647686, 0.20061495937407017, 0.14937556199729443, 0.07013290319591761, 0.13177282470278442, 0.29810291454195975, -0.08085012522060424, -0.16039522793143987, -0.3836405422538519, -0.2344347197562456, -0.28505999501794577, 0.0631623082794249, -0.12413219937589019, -0.17306957878172397, 0.49384916499257087, 0.08787668235599995, 0.16088738907128572, 0.028756674146279693, 0.3238140007480979, 0.13353912843740545, -0.019291485520079733, 0.03612974013667554, 0.24928519199602306, 0.1976683795452118, -0.0011981588642811403, -0.34652235694229605, 0.10305539842229336, -0.037915493582841006] |
710.353 | Clustering Properties of restframe UV selected galaxies I: the
correlation length derived from GALEX data in the local Universe | We present the first measurements of the angular correlation function of
galaxies selected in the far (1530 A) and near (2310 A) Ultraviolet from the
GALEX survey fields overlapping SDSS DR5 in low galactic extinction regions.
The area used covers 120 sqdeg (GALEX - MIS) down to magnitude AB = 22,
yielding a total of 100,000 galaxies. The mean correlation length is ~ 3.7 \pm
0.6 Mpc and no significant trend is seen for this value as a function of the
limiting apparent magnitude or between the GALEX bands. This estimate is close
to that found from samples of blue galaxies in the local universe selected in
the visible, and similar to that derived at z ~ 3 for LBGs with similar rest
frame selection criteria. This result supports models that predict anti-biasing
of star forming galaxies at low redshift, and brings an additional clue to the
downsizing of star formation at z<1.
| astro-ph | we present the first measurements of the angular correlation function of galaxies selected in the far 1530 a and near 2310 a ultraviolet from the galex survey fields overlapping sdss dr5 in low galactic extinction regions the area used covers 120 sqdeg galex mis down to magnitude ab 22 yielding a total of 100000 galaxies the mean correlation length is 37 pm 06 mpc and no significant trend is seen for this value as a function of the limiting apparent magnitude or between the galex bands this estimate is close to that found from samples of blue galaxies in the local universe selected in the visible and similar to that derived at z 3 for lbgs with similar rest frame selection criteria this result supports models that predict antibiasing of star forming galaxies at low redshift and brings an additional clue to the downsizing of star formation at z1 | [['we', 'present', 'the', 'first', 'measurements', 'of', 'the', 'angular', 'correlation', 'function', 'of', 'galaxies', 'selected', 'in', 'the', 'far', '1530', 'a', 'and', 'near', '2310', 'a', 'ultraviolet', 'from', 'the', 'galex', 'survey', 'fields', 'overlapping', 'sdss', 'dr5', 'in', 'low', 'galactic', 'extinction', 'regions', 'the', 'area', 'used', 'covers', '120', 'sqdeg', 'galex', 'mis', 'down', 'to', 'magnitude', 'ab', '22', 'yielding', 'a', 'total', 'of', '100000', 'galaxies', 'the', 'mean', 'correlation', 'length', 'is', '37', 'pm', '06', 'mpc', 'and', 'no', 'significant', 'trend', 'is', 'seen', 'for', 'this', 'value', 'as', 'a', 'function', 'of', 'the', 'limiting', 'apparent', 'magnitude', 'or', 'between', 'the', 'galex', 'bands', 'this', 'estimate', 'is', 'close', 'to', 'that', 'found', 'from', 'samples', 'of', 'blue', 'galaxies', 'in', 'the', 'local', 'universe', 'selected', 'in', 'the', 'visible', 'and', 'similar', 'to', 'that', 'derived', 'at', 'z', '3', 'for', 'lbgs', 'with', 'similar', 'rest', 'frame', 'selection', 'criteria', 'this', 'result', 'supports', 'models', 'that', 'predict', 'antibiasing', 'of', 'star', 'forming', 'galaxies', 'at', 'low', 'redshift', 'and', 'brings', 'an', 'additional', 'clue', 'to', 'the', 'downsizing', 'of', 'star', 'formation', 'at', 'z1']] | [-0.043751943162673675, 0.061811569886029726, -0.06938901792191307, 0.10670787007266642, -0.050646626393642, -0.027625154888244883, 0.09543471266953087, 0.4277474113283741, -0.14677568126294838, -0.370896019897855, 0.02683814420621067, -0.34620029995555446, -0.025377594216198555, 0.1614938521579583, -0.02492366647410313, -0.037249470841383324, -0.0020264099514574413, -0.0748144926584557, -0.06278412459149016, -0.29837114868166814, 0.25088692080517044, 0.06679113968525507, 0.21202949517025244, -0.059913788454125844, 0.09626226221569095, -0.048470057384579775, -0.12072890425638465, -0.01271566373746117, -0.19488048633702543, 0.010965251523396625, 0.260642250294602, 0.09643873253262183, 0.27127828749346755, -0.2828998688183375, -0.15220810212417593, 0.08928557642072989, 0.21571611553030526, 0.049345392040789575, -0.05691248775872358, -0.24626183247306202, 0.10857248994140517, -0.12157674391160957, -0.15647269034720707, 0.10574174095992149, 0.07074199635973012, 0.007764685452109415, -0.23957553397685966, 0.17928628070786246, 0.0005124393989638294, 0.1313887715227152, -0.11291106296515704, -0.11253617907133603, -0.08498309272491442, 0.09684929024621894, 0.0021053904920641407, 0.1635189307900458, 0.1590573030255185, -0.16629164411698863, -0.015265652734861277, 0.377406997743669, -0.08248814519872927, 0.039071499315346744, 0.20669766990686672, -0.21516150873366918, -0.1437821602167549, 0.16209859236521684, 0.1436830331733913, 0.09949971487645635, -0.1814683696642618, 0.0063396317512422, -0.014598378730350293, 0.2418699234649039, 0.05121019155712136, 0.09204625828901068, 0.29545905084455476, 0.0956609336090518, 0.09232699099128078, 0.09143716831622808, -0.22359219815382023, -0.001238687790542741, -0.27286667555051813, -0.06785640302082936, -0.1392369109066047, 0.10372481840793918, -0.1591955808662472, -0.0952246777663295, 0.3561434222560301, 0.12902435768183146, 0.25413205580560855, 0.10663141292088583, 0.27098026141155535, 0.08267838586178052, 0.1635807310408534, 0.08627874357000793, 0.32089209364689636, 0.1208072419789301, 0.08711861014278643, -0.1934868003923021, 0.003320102708026667, -0.027170570736013405] |
710.3531 | $n$-blocks collections on Fano manifolds and sheaves with regularity
$-\infty$ | Let $X$ be a smooth Fano manifold equipped with a `` nice '' $n$-blocks
collection in the sense of \cite{cm2} and $\mathcal {F}$ a coherent sheaf on
$X$. Assume that $X$ is Fano and that all blocks are coherent sheaves. Here we
prove that $\mathcal {F}$ has regularity $-\infty$ in the sense of \cite{cm2}
if ${Supp}(\mathcal {F})$ is finite, the converse being true under mild
assumptions. The corresponding result is also true when $X$ has a geometric
collection in the sense of \cite{cm1}.
| math.AG | let x be a smooth fano manifold equipped with a nice nblocks collection in the sense of citecm2 and mathcal f a coherent sheaf on x assume that x is fano and that all blocks are coherent sheaves here we prove that mathcal f has regularity infty in the sense of citecm2 if suppmathcal f is finite the converse being true under mild assumptions the corresponding result is also true when x has a geometric collection in the sense of citecm1 | [['let', 'x', 'be', 'a', 'smooth', 'fano', 'manifold', 'equipped', 'with', 'a', 'nice', 'nblocks', 'collection', 'in', 'the', 'sense', 'of', 'citecm2', 'and', 'mathcal', 'f', 'a', 'coherent', 'sheaf', 'on', 'x', 'assume', 'that', 'x', 'is', 'fano', 'and', 'that', 'all', 'blocks', 'are', 'coherent', 'sheaves', 'here', 'we', 'prove', 'that', 'mathcal', 'f', 'has', 'regularity', 'infty', 'in', 'the', 'sense', 'of', 'citecm2', 'if', 'suppmathcal', 'f', 'is', 'finite', 'the', 'converse', 'being', 'true', 'under', 'mild', 'assumptions', 'the', 'corresponding', 'result', 'is', 'also', 'true', 'when', 'x', 'has', 'a', 'geometric', 'collection', 'in', 'the', 'sense', 'of', 'citecm1']] | [-0.1829695657331061, 0.08497337143499308, -0.10561517415592422, 0.03420878984124775, -0.04497866481300685, -0.18950102842328223, -0.005335892647408046, 0.3863139483448747, -0.31711439420650533, -0.12110936577589095, 0.06869378849991005, -0.24478977415468786, -0.14675514138751217, 0.19131343215462063, -0.20619366940280254, -0.04036941748209201, 0.07373793504817726, 0.13610454874306724, -0.08443077105436135, -0.29094708644385847, 0.41311799807401445, -0.1061195284491042, 0.26722290609394767, 0.05075348238536314, 0.15756639784395501, -0.002718467628220459, 0.08634465553589141, 0.00839800286929232, -0.15581926045319075, 0.10948020079499715, 0.305376610537241, 0.09211545604789122, 0.26684692475412575, -0.3312319295674369, -0.16288868604112997, 0.22546343827716908, 0.09868223445759118, -0.044654360657872316, 0.010623748742297968, -0.2413630062448127, 0.2249576349065385, -0.0732354104591461, -0.15131844657582122, -0.08155844474283906, 0.10542963457281714, 0.04853751014482666, -0.33951041324959175, -0.021003847352498176, 0.13944082391484605, 0.06873278949990289, -0.014435650381658758, -0.05766496830922249, -0.12185835502074137, 0.021501881486582025, -0.0004506304651474604, 0.13407456966165404, 0.08486797149571312, -0.06663482996042479, -0.034476425333928265, 0.3425575838750833, -0.11151731901427174, -0.2549778402952308, 0.11902342367820538, -0.2242110434121319, -0.12125404515642334, 0.13610449565163293, 0.05751707542736035, 0.17665344785729592, -0.03178773020706351, 0.28555541596671735, -0.1912268687087994, 0.1291674168904421, 0.08600918102900607, 0.08907432960007679, 0.09430160729347595, 0.11467971223067831, 0.1433057949346091, 0.059206526192788086, -0.026728289041595608, 0.0374089985384376, -0.40901378416395806, -0.15220401848230947, -0.15639147098484607, 0.24643206781429516, -0.06294354443194937, -0.14734372397425113, 0.2972707443616607, 0.045405344323968734, 0.22779647478616083, 0.09787453172498613, 0.21333435976079532, 0.08096339699945279, -0.027559227591332097, 0.07607951918133087, 0.12137276212406622, 0.19108464537406122, -0.05269848791785635, -0.08245097627173867, 0.08618617077757205, 0.10753003436491473] |
710.3532 | Importance of Metastable States in the Free Energy Landscapes of
Polypeptide Chains | We show that the interplay between excluded volume effects, hydrophobicity,
and hydrogen bonding of a tube-like representation of a polypeptide chain gives
rise to free energy landscapes that exhibit a small number of metastable minima
corresponding to common structural motifs observed in proteins. The complexity
of the landscape increases only moderately with the length of the chain.
Analysis of the temperature dependence of these landscapes reveals that the
stability of specific metastable states is maximal at a temperature close to
the mid-point of folding. These mestastable states are therefore likely to be
of particular significance in determining the generic tendency of proteins to
aggregate into potentially pathogenic agents.
| cond-mat.soft cond-mat.stat-mech | we show that the interplay between excluded volume effects hydrophobicity and hydrogen bonding of a tubelike representation of a polypeptide chain gives rise to free energy landscapes that exhibit a small number of metastable minima corresponding to common structural motifs observed in proteins the complexity of the landscape increases only moderately with the length of the chain analysis of the temperature dependence of these landscapes reveals that the stability of specific metastable states is maximal at a temperature close to the midpoint of folding these mestastable states are therefore likely to be of particular significance in determining the generic tendency of proteins to aggregate into potentially pathogenic agents | [['we', 'show', 'that', 'the', 'interplay', 'between', 'excluded', 'volume', 'effects', 'hydrophobicity', 'and', 'hydrogen', 'bonding', 'of', 'a', 'tubelike', 'representation', 'of', 'a', 'polypeptide', 'chain', 'gives', 'rise', 'to', 'free', 'energy', 'landscapes', 'that', 'exhibit', 'a', 'small', 'number', 'of', 'metastable', 'minima', 'corresponding', 'to', 'common', 'structural', 'motifs', 'observed', 'in', 'proteins', 'the', 'complexity', 'of', 'the', 'landscape', 'increases', 'only', 'moderately', 'with', 'the', 'length', 'of', 'the', 'chain', 'analysis', 'of', 'the', 'temperature', 'dependence', 'of', 'these', 'landscapes', 'reveals', 'that', 'the', 'stability', 'of', 'specific', 'metastable', 'states', 'is', 'maximal', 'at', 'a', 'temperature', 'close', 'to', 'the', 'midpoint', 'of', 'folding', 'these', 'mestastable', 'states', 'are', 'therefore', 'likely', 'to', 'be', 'of', 'particular', 'significance', 'in', 'determining', 'the', 'generic', 'tendency', 'of', 'proteins', 'to', 'aggregate', 'into', 'potentially', 'pathogenic', 'agents']] | [-0.14688644392816264, 0.2041501855754041, -0.08608934345489769, 0.09540171047920692, -0.020239379365763095, -0.12544314772169166, 0.1022996551130907, 0.34468895903675356, -0.29261836287713494, -0.2914059418210081, 0.011069742375201433, -0.286966224470846, -0.14781182089159003, 0.1185097214722327, -0.008380365314258037, -0.0313907762441053, 0.04783736116485534, 0.037977624671516295, -0.021087303812067224, -0.19652162984048374, 0.2685096340654331, 0.08396936525703869, 0.27173065460313145, 0.11171969168201507, 0.0719710912764351, -0.03838559087130859, 0.07807439617447068, 0.05429772038239045, -0.17267156982783252, 0.15449572196469652, 0.25908940877312814, 0.05480272198426668, 0.25209390593118197, -0.4160267070945457, -0.2030104610189865, 0.15187849245843627, 0.14127009513213465, 0.14779348648370844, -0.013435818681441178, -0.23783448792854758, 0.08367349636941174, -0.08996056184764499, -0.14776746828487647, -0.07310110227875063, 0.029688915899284532, 0.06860089044426089, -0.1921899991858507, 0.12405844726469194, 0.03842008650894756, 0.07907751530722201, -0.09267582486287873, -0.11447962546703692, -0.12942385220482389, 0.12497694446122116, 0.08280393461235494, -0.017738500131276723, 0.20136622717673672, -0.12522982049594136, -0.06214846658442065, 0.3587478755616418, -0.013804134962836577, -0.13836589661888152, 0.24583444840744764, -0.12446695067441073, -0.13884176715700364, 0.2254954334217881, 0.1400260034704877, 0.06541360718868325, -0.11518154646243865, 0.029728667514081, 0.02453033753483617, 0.21753045497462153, 0.08754293638429492, 0.059749805198756056, 0.2409425481379241, 0.19813382284167422, 0.08804821283948198, 0.17927854502775975, -0.07395380357645939, -0.15336619420238187, -0.243623543974604, -0.1571165797970841, -0.16734578956144852, 0.03708437112242714, -0.10885507890627671, -0.23696155511887274, 0.4182258995998407, 0.08003956251782128, 0.24609684412776728, 0.05394457535443949, 0.17172655218528915, 0.03231991649056985, 0.07972717423113847, -0.005321823378206692, 0.1886417455623083, 0.10790022160688188, 0.022924479967522844, -0.28551880805535573, 0.10908925524155531, 0.007630776387648048] |
710.3533 | Mechanism of Ambipolar Field-Effect Transistors on One-Dimensional
Organic Mott Insulators | The experimentally observed, ambipolar field-effect characteristics of Mott
insulators are reproduced in the one-dimensional Hubbard model attached to a
tight-binding model for source and drain electrodes. The formation of Schottky
barriers, originating from the work-function difference, is taken into account
by a potential satisfying the Poisson equation with an appropriate boundary
condition. Then, these field-effect characteristics are shown to be related by
unique current-voltage characteristics of metal-Mott-insulator interfaces.
| cond-mat.str-el | the experimentally observed ambipolar fieldeffect characteristics of mott insulators are reproduced in the onedimensional hubbard model attached to a tightbinding model for source and drain electrodes the formation of schottky barriers originating from the workfunction difference is taken into account by a potential satisfying the poisson equation with an appropriate boundary condition then these fieldeffect characteristics are shown to be related by unique currentvoltage characteristics of metalmottinsulator interfaces | [['the', 'experimentally', 'observed', 'ambipolar', 'fieldeffect', 'characteristics', 'of', 'mott', 'insulators', 'are', 'reproduced', 'in', 'the', 'onedimensional', 'hubbard', 'model', 'attached', 'to', 'a', 'tightbinding', 'model', 'for', 'source', 'and', 'drain', 'electrodes', 'the', 'formation', 'of', 'schottky', 'barriers', 'originating', 'from', 'the', 'workfunction', 'difference', 'is', 'taken', 'into', 'account', 'by', 'a', 'potential', 'satisfying', 'the', 'poisson', 'equation', 'with', 'an', 'appropriate', 'boundary', 'condition', 'then', 'these', 'fieldeffect', 'characteristics', 'are', 'shown', 'to', 'be', 'related', 'by', 'unique', 'currentvoltage', 'characteristics', 'of', 'metalmottinsulator', 'interfaces']] | [-0.1456126551510191, 0.08972393501715166, -0.045562268388868475, 0.05438540476846837, -0.036115145283367706, -0.2761580390746103, 0.0323093929738902, 0.4122132241506787, -0.2844138230498442, -0.2734490004505086, -0.03208114058446988, -0.3024080636746743, -0.13270757161080837, 0.22414459181976887, -0.01740204592865399, 0.0339838385099189, 0.008895138429258676, -0.08995861135532751, -0.05008549278821139, -0.17837298132807894, 0.300352759200477, 0.012898279052666006, 0.2998663677888758, 0.12481889342341353, 0.054277246667291314, -0.0843254347838571, 0.11972128583447021, 0.04626027945264736, -0.15940637342796168, 0.025798566468224367, 0.2500350596554413, -0.16255299726446323, 0.17330761031959863, -0.50523013670874, -0.26529009712805207, -0.05730424647438614, 0.095522157560267, 0.08307713048998266, -0.07358973867752973, -0.34163815550067844, 0.1018232155680273, -0.16409384477061822, -0.1167199391844299, 0.015389757984153488, -0.006010898251963013, 0.061267557670362294, -0.2480994670665549, 0.06634619984063594, 0.02307777640902821, 0.019484539300559416, -0.13537662261960043, -0.12901234335046918, -0.13454746548771201, 0.10031924598083339, 0.008031433235908695, -0.02265531148569768, 0.1742217654862222, -0.11082109873292639, -0.09752639317337204, 0.3459747399970451, -0.028215902871178353, -0.1933065420975361, 0.1486505787299179, -0.1433212545714067, 0.005888751413508812, 0.15840844268848955, 0.07856336005908601, 0.037108870551866645, -0.2497859130586114, 0.10857624645423665, 0.005382804174373364, 0.11112715324056541, 0.044389647349496096, 0.0176143036908744, 0.2790843144278316, 0.20171942726215897, 0.004561750026529326, 0.1302956619885449, -0.11652963484897662, -0.05333944270387292, -0.28068219925112586, -0.15936376779641517, -0.20424201890059254, 0.12108338583836004, -0.04964946092578055, -0.22291913194545915, 0.4340218127814724, 0.1579915760221946, 0.18390136617509759, -0.03976458501796622, 0.24062586236087716, 0.1977734483559342, 0.07550317643429427, 0.006088513148236363, 0.13550486678586288, 0.19522130875916713, 0.08709626769825049, -0.2687970008255969, 0.11118217562462258, 0.033098466762834615] |
710.3534 | Influence of stellar X-ray luminosity distribution and its evolution on
exoplanetary mass loss | Aims: We investigate the influence of high-energy stellar radiation at
close-in orbits on atmospheric mass loss during stellar evolution of a G-type
star. Methods: High-energy stellar luminosity varies over a wide range for G
field stars. The temporal evolution of the distribution of stellar X-ray
luminosity and its influence on the evolution of close-in exoplanets is
investigated. X-ray luminosity distributions from the Pleiades, the Hyades and
the field are used to derive a scaling law for the evolution of the stellar
X-ray luminosity distribution. A modified energy-limited escape approach is
used to calculate atmospheric mass loss for a broad range of planetary
parameters. Results: We show that the evolution of close-in exoplanets strongly
depends on the detailed X-ray luminosity history of their host stars, which
varies over several orders-of-magnitude for G stars. Stars located at the
high-energy tail of the luminosity distribution can evaporate most of its
planets within 0.5 AU, while for a moderate luminosity a significant fraction
of planets can survive. We show the change on an initial planetary mass
distribution caused by atmospheric escape.
| astro-ph | aims we investigate the influence of highenergy stellar radiation at closein orbits on atmospheric mass loss during stellar evolution of a gtype star methods highenergy stellar luminosity varies over a wide range for g field stars the temporal evolution of the distribution of stellar xray luminosity and its influence on the evolution of closein exoplanets is investigated xray luminosity distributions from the pleiades the hyades and the field are used to derive a scaling law for the evolution of the stellar xray luminosity distribution a modified energylimited escape approach is used to calculate atmospheric mass loss for a broad range of planetary parameters results we show that the evolution of closein exoplanets strongly depends on the detailed xray luminosity history of their host stars which varies over several ordersofmagnitude for g stars stars located at the highenergy tail of the luminosity distribution can evaporate most of its planets within 05 au while for a moderate luminosity a significant fraction of planets can survive we show the change on an initial planetary mass distribution caused by atmospheric escape | [['aims', 'we', 'investigate', 'the', 'influence', 'of', 'highenergy', 'stellar', 'radiation', 'at', 'closein', 'orbits', 'on', 'atmospheric', 'mass', 'loss', 'during', 'stellar', 'evolution', 'of', 'a', 'gtype', 'star', 'methods', 'highenergy', 'stellar', 'luminosity', 'varies', 'over', 'a', 'wide', 'range', 'for', 'g', 'field', 'stars', 'the', 'temporal', 'evolution', 'of', 'the', 'distribution', 'of', 'stellar', 'xray', 'luminosity', 'and', 'its', 'influence', 'on', 'the', 'evolution', 'of', 'closein', 'exoplanets', 'is', 'investigated', 'xray', 'luminosity', 'distributions', 'from', 'the', 'pleiades', 'the', 'hyades', 'and', 'the', 'field', 'are', 'used', 'to', 'derive', 'a', 'scaling', 'law', 'for', 'the', 'evolution', 'of', 'the', 'stellar', 'xray', 'luminosity', 'distribution', 'a', 'modified', 'energylimited', 'escape', 'approach', 'is', 'used', 'to', 'calculate', 'atmospheric', 'mass', 'loss', 'for', 'a', 'broad', 'range', 'of', 'planetary', 'parameters', 'results', 'we', 'show', 'that', 'the', 'evolution', 'of', 'closein', 'exoplanets', 'strongly', 'depends', 'on', 'the', 'detailed', 'xray', 'luminosity', 'history', 'of', 'their', 'host', 'stars', 'which', 'varies', 'over', 'several', 'ordersofmagnitude', 'for', 'g', 'stars', 'stars', 'located', 'at', 'the', 'highenergy', 'tail', 'of', 'the', 'luminosity', 'distribution', 'can', 'evaporate', 'most', 'of', 'its', 'planets', 'within', '05', 'au', 'while', 'for', 'a', 'moderate', 'luminosity', 'a', 'significant', 'fraction', 'of', 'planets', 'can', 'survive', 'we', 'show', 'the', 'change', 'on', 'an', 'initial', 'planetary', 'mass', 'distribution', 'caused', 'by', 'atmospheric', 'escape']] | [-0.05408530072230151, 0.18546001116771813, -0.09159405729444013, 0.15612528632437064, -0.10738701011333088, 0.02496607058371107, 0.049566264635236085, 0.41978851414290863, -0.16166118428171586, -0.3951392130936775, 0.020449822306853986, -0.288216956138695, 0.005054817158770932, 0.24851628832945252, -0.04616402055526226, 0.03877681168322425, 0.13710260401791657, -0.044680636492557824, -0.08753434241496784, -0.2657225563396084, 0.34041653978138486, 0.06986519640658871, 0.08093728910405505, 0.025847166187345644, 0.06619543125550394, -0.04981614999462571, -0.03673468152913502, -0.08274482668372198, -0.1959482658219785, 0.0019108914785971075, 0.1929635133740287, 0.163802273992428, 0.22637928059945503, -0.3196185777269009, -0.2356138970245118, 0.050308174814102845, 0.1853317784929469, -0.02848744111880134, -0.06605813066911816, -0.1925650237622739, 0.04449782228507733, -0.23490814251120146, -0.20779921659294748, 0.1060880230171448, 0.08070248381318892, 0.0428215795124902, -0.2731468137932447, 0.10082648022331844, 0.022963498590124698, 0.12383013992112572, -0.15648019278821887, -0.10213079111187556, -0.09312590840798776, 0.08119619123621727, 0.02411133185881427, 0.017869575874548467, 0.23346792437967523, -0.13486415267748347, 0.014418866115722195, 0.40364220039655935, -0.1171463486701671, 0.007481330905720002, 0.2419913510639368, -0.24666788531362085, -0.11410529680265966, 0.15873554018510264, 0.23833375814565494, 0.16089377923307732, -0.1875358615859838, 0.021241362425656517, 0.008497665281076048, 0.2026183333847735, 0.05674105244267753, 0.06799458107505899, 0.3958676117603893, 0.14954459760601155, 0.05318484480077096, 0.06796121219630842, -0.2448580853462135, -0.03638779183870739, -0.18346733188435518, -0.08882026666891103, -0.15324800872470196, 0.09894729334082307, -0.1524120386093684, -0.16359739472805443, 0.3894744490057567, 0.14606363996258268, 0.19023916451786618, 0.06992632322773695, 0.25772956976572337, 0.14741227314031372, 0.09389532657766367, 0.12122012248083865, 0.3126475016644361, 0.18793998855050378, 0.08533551873268276, -0.3352261924692614, 0.13837008246767865, -0.03300842396930744] |
710.3535 | JANUS: an FPGA-based System for High Performance Scientific Computing | This paper describes JANUS, a modular massively parallel and reconfigurable
FPGA-based computing system. Each JANUS module has a computational core and a
host. The computational core is a 4x4 array of FPGA-based processing elements
with nearest-neighbor data links. Processors are also directly connected to an
I/O node attached to the JANUS host, a conventional PC. JANUS is tailored for,
but not limited to, the requirements of a class of hard scientific applications
characterized by regular code structure, unconventional data manipulation
instructions and not too large data-base size. We discuss the architecture of
this configurable machine, and focus on its use on Monte Carlo simulations of
statistical mechanics. On this class of application JANUS achieves impressive
performances: in some cases one JANUS processing element outperfoms high-end
PCs by a factor ~ 1000. We also discuss the role of JANUS on other classes of
scientific applications.
| cs.AR | this paper describes janus a modular massively parallel and reconfigurable fpgabased computing system each janus module has a computational core and a host the computational core is a 4x4 array of fpgabased processing elements with nearestneighbor data links processors are also directly connected to an io node attached to the janus host a conventional pc janus is tailored for but not limited to the requirements of a class of hard scientific applications characterized by regular code structure unconventional data manipulation instructions and not too large database size we discuss the architecture of this configurable machine and focus on its use on monte carlo simulations of statistical mechanics on this class of application janus achieves impressive performances in some cases one janus processing element outperfoms highend pcs by a factor 1000 we also discuss the role of janus on other classes of scientific applications | [['this', 'paper', 'describes', 'janus', 'a', 'modular', 'massively', 'parallel', 'and', 'reconfigurable', 'fpgabased', 'computing', 'system', 'each', 'janus', 'module', 'has', 'a', 'computational', 'core', 'and', 'a', 'host', 'the', 'computational', 'core', 'is', 'a', '4x4', 'array', 'of', 'fpgabased', 'processing', 'elements', 'with', 'nearestneighbor', 'data', 'links', 'processors', 'are', 'also', 'directly', 'connected', 'to', 'an', 'io', 'node', 'attached', 'to', 'the', 'janus', 'host', 'a', 'conventional', 'pc', 'janus', 'is', 'tailored', 'for', 'but', 'not', 'limited', 'to', 'the', 'requirements', 'of', 'a', 'class', 'of', 'hard', 'scientific', 'applications', 'characterized', 'by', 'regular', 'code', 'structure', 'unconventional', 'data', 'manipulation', 'instructions', 'and', 'not', 'too', 'large', 'database', 'size', 'we', 'discuss', 'the', 'architecture', 'of', 'this', 'configurable', 'machine', 'and', 'focus', 'on', 'its', 'use', 'on', 'monte', 'carlo', 'simulations', 'of', 'statistical', 'mechanics', 'on', 'this', 'class', 'of', 'application', 'janus', 'achieves', 'impressive', 'performances', 'in', 'some', 'cases', 'one', 'janus', 'processing', 'element', 'outperfoms', 'highend', 'pcs', 'by', 'a', 'factor', '1000', 'we', 'also', 'discuss', 'the', 'role', 'of', 'janus', 'on', 'other', 'classes', 'of', 'scientific', 'applications']] | [-0.16210474132990035, 0.04364620021801243, -0.016737300415777347, -0.006246459003622559, -0.0944153322883836, -0.19684860442758545, 0.016565073902679646, 0.4209453316236084, -0.25718021261590446, -0.35380695489319886, 0.11929925597334684, -0.25961568624015663, -0.1476524697447365, 0.25128107778060454, -0.07256261492148042, 0.07392458689286718, 0.14231828057005272, 0.0112039507708636, -0.07348769478226354, -0.24310411033350843, 0.224805104774195, 0.07849585505567126, 0.3016397735035581, 0.01061449825952572, 0.09832556424760162, -0.021541640786063316, 0.010058686267454308, 0.003322410963115366, -0.10197280272450689, 0.17912212424501256, 0.23855537613788685, 0.13262288633838193, 0.2474593967052789, -0.44387671760433206, -0.12411262664188455, 0.06644369246620503, 0.14891722354178244, 0.07340875621624551, -0.10624701706887958, -0.24550617366892422, 0.09145308124272714, -0.23759286470672156, -0.0963089846195067, -0.07493337736158938, 0.03374391029282779, 0.046877205797627414, -0.18641736299667339, -0.046147236799564006, 0.012851645261492137, 0.09696137602278194, 0.024769164121162694, -0.10661131558024774, 0.04335373548556354, 0.10567242162826412, -0.04684708760220922, 0.016761342190544714, 0.20604720898623857, -0.1486316662512954, -0.15470842232356186, 0.40303287937442633, 0.021238680728678624, -0.20883013798457967, 0.25020016676427187, -0.08135238034625039, -0.2007453776537799, 0.10995542359948679, 0.21886790555965324, 0.08377516448458695, -0.15405745074923077, 0.12084433838881396, -0.017273316303124793, 0.21148595597165135, 0.025023116427717953, 0.008386709492888066, 0.23607785237539508, 0.25543829407282437, 0.016190274018986425, 0.20517607908443566, -0.09089286095573457, -0.09931675861166282, -0.21293484025563186, -0.1887240243124795, -0.23407283807629264, 0.00625023469544615, -0.09252106224087399, -0.19999893043691722, 0.37276462668071053, 0.15006521903385467, 0.11419129868239894, 0.05474366006031112, 0.3199611801680151, -0.0033762635584998796, 0.16502189220391683, 0.10673621317234959, 0.15245072314148553, 0.06334139190946374, 0.1519478285409204, -0.20721238850570328, 0.01938832719269749, 0.01975171940752885] |
710.3536 | Common Beliefs and Public Announcements in Strategic Games with
Arbitrary Strategy Sets | We provide an epistemic analysis of arbitrary strategic games based on
possibility correspondences. We first establish a generic result that links
true common beliefs (and, respectively, common knowledge) of players'
rationality defined by means of `monotonic' properties, with the iterated
elimination of strategies that do not satisfy these properties. It allows us to
deduce the customary results concerned with true common beliefs of rationality
and iterated elimination of strictly dominated strategies as simple
corollaries. This approach relies on Tarski's Fixpoint Theorem. We also provide
an axiomatic presentation of this generic result. This allows us to clarify the
proof-theoretic principles assumed in players' reasoning. Finally, we provide
an alternative characterization of the iterated elimination of strategies based
on the concept of a public announcement. It applies to `global properties'.
Both classes of properties include the notions of rationalizability and the
iterated elimination of strictly dominated strategies.
| cs.GT | we provide an epistemic analysis of arbitrary strategic games based on possibility correspondences we first establish a generic result that links true common beliefs and respectively common knowledge of players rationality defined by means of monotonic properties with the iterated elimination of strategies that do not satisfy these properties it allows us to deduce the customary results concerned with true common beliefs of rationality and iterated elimination of strictly dominated strategies as simple corollaries this approach relies on tarskis fixpoint theorem we also provide an axiomatic presentation of this generic result this allows us to clarify the prooftheoretic principles assumed in players reasoning finally we provide an alternative characterization of the iterated elimination of strategies based on the concept of a public announcement it applies to global properties both classes of properties include the notions of rationalizability and the iterated elimination of strictly dominated strategies | [['we', 'provide', 'an', 'epistemic', 'analysis', 'of', 'arbitrary', 'strategic', 'games', 'based', 'on', 'possibility', 'correspondences', 'we', 'first', 'establish', 'a', 'generic', 'result', 'that', 'links', 'true', 'common', 'beliefs', 'and', 'respectively', 'common', 'knowledge', 'of', 'players', 'rationality', 'defined', 'by', 'means', 'of', 'monotonic', 'properties', 'with', 'the', 'iterated', 'elimination', 'of', 'strategies', 'that', 'do', 'not', 'satisfy', 'these', 'properties', 'it', 'allows', 'us', 'to', 'deduce', 'the', 'customary', 'results', 'concerned', 'with', 'true', 'common', 'beliefs', 'of', 'rationality', 'and', 'iterated', 'elimination', 'of', 'strictly', 'dominated', 'strategies', 'as', 'simple', 'corollaries', 'this', 'approach', 'relies', 'on', 'tarskis', 'fixpoint', 'theorem', 'we', 'also', 'provide', 'an', 'axiomatic', 'presentation', 'of', 'this', 'generic', 'result', 'this', 'allows', 'us', 'to', 'clarify', 'the', 'prooftheoretic', 'principles', 'assumed', 'in', 'players', 'reasoning', 'finally', 'we', 'provide', 'an', 'alternative', 'characterization', 'of', 'the', 'iterated', 'elimination', 'of', 'strategies', 'based', 'on', 'the', 'concept', 'of', 'a', 'public', 'announcement', 'it', 'applies', 'to', 'global', 'properties', 'both', 'classes', 'of', 'properties', 'include', 'the', 'notions', 'of', 'rationalizability', 'and', 'the', 'iterated', 'elimination', 'of', 'strictly', 'dominated', 'strategies']] | [-0.10417121836598481, 0.023417440637572798, -0.17383193242010372, 0.10816132427947917, -0.14694573275488, -0.12660646372442616, 0.12095135816469274, 0.3460358254996867, -0.29320608187338404, -0.2525968833344764, 0.06951076971639976, -0.20200300499624252, -0.18944156121077207, 0.1641661182375111, -0.15667717492304228, 0.009997315613296011, 0.024410161311770307, 0.036898503348769235, -0.04088170305215593, -0.2894635473731263, 0.3882078110095884, -0.003132199630912008, 0.24579973014649645, 0.0725810094029996, 0.10352749255132572, 0.113922370870694, -0.09770551149187418, 0.03127500213489964, -0.20193967393745973, 0.15654479916496525, 0.2799466978341084, 0.22885156724409297, 0.3409074027348181, -0.42571717385074187, -0.11204781259474313, 0.12568869164558769, 0.06718261301003653, 0.068257594929711, 0.017043468644962936, -0.2809842546566807, 0.06722939610802407, -0.1652233178181381, -0.1988281704003698, -0.13123735802585323, -0.047439972992087236, 0.05014725020757459, -0.2709748976446431, -0.010707846510521105, 0.1988333524012103, 0.10629205535454997, -0.06648321592425606, -0.10344301592719195, 0.027208779938519, 0.11560722945322251, 0.03397988594811538, -0.07060403379708015, 0.11844043544541788, -0.09783884764905891, -0.2308170172257413, 0.3382355791356029, -0.03899598840889039, -0.18032677443376902, 0.20341796672035908, -0.042016466899678626, -0.16150868676827643, 0.09443432169581024, 0.08337329848316209, 0.16754167245636725, -0.139420673630104, 0.06429289914547176, -0.08921948524898496, 0.1633280553469627, 0.09475352093095667, 0.09366451140557383, 0.15144750282072045, 0.12202189495658566, 0.12519564608850614, 0.1201712887975034, 0.040601032307162756, -0.16313605459150055, -0.3299828443066056, -0.14466674453900036, -0.08774523598398885, 0.06835571630819749, -0.08565687912823391, -0.19100225783627608, 0.34140866514423795, 0.19537724105255871, 0.11223702232578191, 0.14581455244393698, 0.2874983802823157, 0.07480250135754589, 0.03255740442345369, 0.03644551560282707, 0.2049104376856623, 0.16802162840994525, 0.05145153019513036, -0.13581902303829274, 0.14010897342372558, 0.09701868908576153] |
710.3537 | Two-pion-exchange effects in the $pp\to pp\pi^0$ reaction | We study the pp \to pp\pi^0 reaction near threshold based on heavy-baryon
chiral perturbation theory. We show that the two-pion-exchange diagrams give
much larger contribution than the one-pion-exchange diagram which is of lower
chiral order in Weinberg's counting scheme. We also discuss the relation of our
results to the momentum counting scheme.
| nucl-th | we study the pp to pppi0 reaction near threshold based on heavybaryon chiral perturbation theory we show that the twopionexchange diagrams give much larger contribution than the onepionexchange diagram which is of lower chiral order in weinbergs counting scheme we also discuss the relation of our results to the momentum counting scheme | [['we', 'study', 'the', 'pp', 'to', 'pppi0', 'reaction', 'near', 'threshold', 'based', 'on', 'heavybaryon', 'chiral', 'perturbation', 'theory', 'we', 'show', 'that', 'the', 'twopionexchange', 'diagrams', 'give', 'much', 'larger', 'contribution', 'than', 'the', 'onepionexchange', 'diagram', 'which', 'is', 'of', 'lower', 'chiral', 'order', 'in', 'weinbergs', 'counting', 'scheme', 'we', 'also', 'discuss', 'the', 'relation', 'of', 'our', 'results', 'to', 'the', 'momentum', 'counting', 'scheme']] | [-0.12362683882327893, 0.14166788795353988, -0.1513271844602199, 0.1296486061608168, -0.07729590680593482, -0.04094502996080197, 0.08848456947732931, 0.3214489843902321, -0.152026980327299, -0.26617961531715434, -0.021506507722034048, -0.3061675648384083, -0.16599050307055363, 0.14682459892579713, 0.014023209241433786, 0.025044708011242058, -0.01294956837171832, 0.06622211416610159, -0.07830213722683346, -0.23679736912107238, 0.33134542528289157, 0.033093283884227276, 0.2869520248630299, 0.1820594254308022, 0.0061488388410697765, 0.046757537486533135, -0.027188076834695842, -0.02124189897082173, -0.22936291980645016, 0.11457760420699532, 0.2036187917826912, 0.0014766234492596525, 0.10951589219845258, -0.37422951171174645, -0.1460167444937934, 0.07641963399230288, 0.15305924948412353, 0.18888040217167984, -0.004461645446449088, -0.2527268289480932, 0.1484029455952203, -0.2461223615011057, -0.14790226460004655, -0.1195014978114229, -0.03438145201653242, -0.049238052080349565, -0.2699123133833592, 0.06717073658980482, 0.035767502921561785, 0.03606187541467639, -0.010797445125018176, -0.16870194155937776, -0.014592031746780356, 0.03336872573261364, 0.047795258404221386, 0.07268678512292144, 0.1220843238899341, -0.15245546762330028, -0.14200317331303197, 0.3851025667256461, -0.06560768805754308, -0.15249664871953428, 0.10401862505554724, -0.18491545736861342, -0.15528006308998626, 0.13992559449532285, 0.15864431005544388, 0.14198662118556407, -0.11267563592320165, 0.06692232184398633, -0.016615251294122294, 0.16520280614853478, 0.0833992834489506, 0.04654106180280975, 0.0649604437371286, 0.15221939742836044, 0.061151057634001166, 0.12913143574349725, -0.08364183573464218, -0.17142235945301273, -0.378846808265035, -0.07562704578650972, -0.1186979197574636, 0.03170795788173564, -0.08014683591989943, -0.12695621801182055, 0.31385054163085724, 0.1991277955060538, 0.21678776172372566, 0.06878163076516312, 0.3293775511869731, 0.1941638903148347, 0.05929621028749702, 0.03237079216901643, 0.28897530673286664, 0.1924945143266366, 0.07178074867428783, -0.2917354722247602, -0.05305102753649967, 0.18101234966889024] |
710.3538 | Classical and new loglog-theorems | We present integral variants of results due to Carleman, Wolf, Levinson,
Sjoberg, and Matsaev on majorants of analytic functions. Main ingredient is a
complete description for radial projections of harmonic measures of strictly
star-shaped domains in the plane.
| math.CV | we present integral variants of results due to carleman wolf levinson sjoberg and matsaev on majorants of analytic functions main ingredient is a complete description for radial projections of harmonic measures of strictly starshaped domains in the plane | [['we', 'present', 'integral', 'variants', 'of', 'results', 'due', 'to', 'carleman', 'wolf', 'levinson', 'sjoberg', 'and', 'matsaev', 'on', 'majorants', 'of', 'analytic', 'functions', 'main', 'ingredient', 'is', 'a', 'complete', 'description', 'for', 'radial', 'projections', 'of', 'harmonic', 'measures', 'of', 'strictly', 'starshaped', 'domains', 'in', 'the', 'plane']] | [-0.14500389250583554, -0.017672972618847302, -0.09815190761889282, 0.10772102592378169, -0.0814633162134621, -0.043796722887476026, 0.008744986831994825, 0.3266418206284901, -0.179501741548608, -0.1599498339193432, 0.12581917693483105, -0.2726422080672101, -0.14444040746648648, 0.2576185906747062, -0.13349185783514067, 0.08498945998910226, 0.07556184194369339, -0.03607330152666882, -0.04014084907248616, -0.22406905902990779, 0.38812880080781487, -0.05741828089383872, 0.1864855244608694, 0.09190978930870954, 0.07175846924809248, 0.0736019364190533, -0.08699605235903475, -0.047539368075759786, -0.22648707203763097, 0.2057658706693665, 0.22893154052527329, 0.11870091093557053, 0.2757451282814145, -0.36608979603471725, -0.1653209140916404, 0.11436313553713262, 0.12566719258106068, 0.033955421421284736, -0.026818440010844682, -0.26536287975154427, 0.07137018938450829, -0.04998500338804565, -0.23224162374083934, -0.111068663187325, 0.09114986629911552, 0.12007233122437212, -0.3033683803545213, 0.13180581715546155, 0.1454696903789514, 0.09549602221599535, -0.1485237592929288, -0.13706398421996518, -0.013509332655781978, 0.035152234075787034, 0.009650440488353763, 0.1073284835530151, 0.026317318858529785, -0.032014424814597556, -0.15085147338380156, 0.30840709567756247, -0.06945495062360638, -0.25332741076616866, 0.16908373154307665, -0.18626931939568175, -0.1243639579778047, 0.0718592276619012, 0.16234727387659645, 0.16232991909399921, -0.12523155658211754, 0.14357388719125944, -0.050969629683286735, 0.08918278717350117, 0.08915269384650808, -0.003977134137561447, 0.07443879677080795, 0.071162385768012, 0.1471659020079594, 0.15766476372281382, -0.02026841287672716, -0.11995268194004893, -0.33719859203617825, -0.16147827442833468, -0.21543894327355942, 0.061733240972420104, -0.08825758608681529, -0.24421558311013014, 0.40523619851783704, 0.008645240389006702, 0.1544031056722528, 0.0977040613805385, 0.24208618916179003, 0.11578548030535642, 0.0539368985674197, 0.05095322203430298, 0.16955193629684417, 0.2623347235034759, 0.07150163306658597, -0.11781222783764334, -0.009735055635438153, 0.2508427849970758] |
710.3539 | Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein
condensates | We investigate the influence of a Bose-Einstein condensate (BEC) on the
properties of immersed impurity atoms, which are trapped in an optical lattice.
Assuming a weak coupling of the impurity atoms to the BEC, we derive a quantum
master equation for the lattice system. In the special case of fixed impurities
with two internal states the atoms represent a quantum register and the quantum
master equation reproduces the exact evolution of the qubits. We characterise
the qubit dephasing which is caused by the interspecies coupling and show that
the effect of sub- and superdecoherence is observable for realistic
experimental parameters. Furthermore, the BEC phonons mediate an attractive
interaction between the impurities, which has an important impact on their
spatial distribution. If the lattice atoms are allowed to move, there occurs a
sharp transition with the impurities aggregating in a macroscopic cluster at
experimentally achievable temperatures. We also investigate the impact of the
BEC on the transport properties of the impurity atoms and show that a crossover
from coherent to diffusive behaviour occurs with increasing interaction
strength.
| quant-ph | we investigate the influence of a boseeinstein condensate bec on the properties of immersed impurity atoms which are trapped in an optical lattice assuming a weak coupling of the impurity atoms to the bec we derive a quantum master equation for the lattice system in the special case of fixed impurities with two internal states the atoms represent a quantum register and the quantum master equation reproduces the exact evolution of the qubits we characterise the qubit dephasing which is caused by the interspecies coupling and show that the effect of sub and superdecoherence is observable for realistic experimental parameters furthermore the bec phonons mediate an attractive interaction between the impurities which has an important impact on their spatial distribution if the lattice atoms are allowed to move there occurs a sharp transition with the impurities aggregating in a macroscopic cluster at experimentally achievable temperatures we also investigate the impact of the bec on the transport properties of the impurity atoms and show that a crossover from coherent to diffusive behaviour occurs with increasing interaction strength | [['we', 'investigate', 'the', 'influence', 'of', 'a', 'boseeinstein', 'condensate', 'bec', 'on', 'the', 'properties', 'of', 'immersed', 'impurity', 'atoms', 'which', 'are', 'trapped', 'in', 'an', 'optical', 'lattice', 'assuming', 'a', 'weak', 'coupling', 'of', 'the', 'impurity', 'atoms', 'to', 'the', 'bec', 'we', 'derive', 'a', 'quantum', 'master', 'equation', 'for', 'the', 'lattice', 'system', 'in', 'the', 'special', 'case', 'of', 'fixed', 'impurities', 'with', 'two', 'internal', 'states', 'the', 'atoms', 'represent', 'a', 'quantum', 'register', 'and', 'the', 'quantum', 'master', 'equation', 'reproduces', 'the', 'exact', 'evolution', 'of', 'the', 'qubits', 'we', 'characterise', 'the', 'qubit', 'dephasing', 'which', 'is', 'caused', 'by', 'the', 'interspecies', 'coupling', 'and', 'show', 'that', 'the', 'effect', 'of', 'sub', 'and', 'superdecoherence', 'is', 'observable', 'for', 'realistic', 'experimental', 'parameters', 'furthermore', 'the', 'bec', 'phonons', 'mediate', 'an', 'attractive', 'interaction', 'between', 'the', 'impurities', 'which', 'has', 'an', 'important', 'impact', 'on', 'their', 'spatial', 'distribution', 'if', 'the', 'lattice', 'atoms', 'are', 'allowed', 'to', 'move', 'there', 'occurs', 'a', 'sharp', 'transition', 'with', 'the', 'impurities', 'aggregating', 'in', 'a', 'macroscopic', 'cluster', 'at', 'experimentally', 'achievable', 'temperatures', 'we', 'also', 'investigate', 'the', 'impact', 'of', 'the', 'bec', 'on', 'the', 'transport', 'properties', 'of', 'the', 'impurity', 'atoms', 'and', 'show', 'that', 'a', 'crossover', 'from', 'coherent', 'to', 'diffusive', 'behaviour', 'occurs', 'with', 'increasing', 'interaction', 'strength']] | [-0.16430992769230876, 0.24106188567673764, -0.04032675723217174, 0.05151740103478501, 0.026436589106610467, -0.17396495516930538, 0.07837441737832375, 0.36837974205528473, -0.2570433147788704, -0.22317265988518062, -0.016014762364978775, -0.3212236939011332, -0.08063549089869908, 0.1497992879369783, 0.06762037359228336, 0.01530076579133906, 0.03825809486443177, 0.04452227850263377, -0.06590171920304949, -0.24724340261044828, 0.3336480059978468, 0.024335683533122807, 0.28344585063380445, 0.10964061406081203, 0.10350337481676516, 0.012674468533077743, 0.10914256502424409, -0.015004165785450658, -0.15949269975523997, 0.07181102095802833, 0.18010894485434453, -0.02917162967721445, 0.21653473349711436, -0.46851862306621944, -0.21487215451303532, 0.08357394266931806, 0.16925491552170902, 0.22866793950842376, -0.06773173925929851, -0.3231939389251321, -0.04004427621045827, -0.1480893804744648, -0.13189065451627935, -0.04731651486310346, 0.039991601239307784, 0.048250510517391376, -0.2672903378023131, 0.08076139682204732, 0.05899526785254817, 0.06343683114391752, -0.07276458578152498, -0.03342796085780719, -0.0029869142718697813, 0.10684955882607028, -0.019518225837435402, -0.015505143795135982, 0.1628637470871168, -0.14941011414471592, -0.05179160146508366, 0.3911482385539619, -0.10567109561287163, -0.15105616837866942, 0.1998368239675818, -0.1374408133798914, -0.04716780354448764, 0.10275685207042526, 0.148463102851317, 0.07475402563101273, -0.13280745179773393, 0.08919948148766045, -0.04558899041413414, 0.1849067715652795, 0.05000341083028947, 0.10628502576913558, 0.23251206289701673, 0.17146916159121742, 0.040655237791890446, 0.19609979263259447, -0.11023472442783797, -0.14963052669455382, -0.2615007692074869, -0.14886428658593848, -0.2224182450498285, 0.06258054220763204, -0.07783860553668505, -0.16496198204615872, 0.36080854722637345, 0.16749700723481842, 0.2068622817539356, -0.03790306321554288, 0.23126560250900433, 0.15209286797273142, 0.03740479599615686, 0.04019336247901348, 0.2782333965349773, 0.1702542983654315, 0.04006414709411646, -0.36197920368100645, 0.03060589340219105, 0.03321736693429888] |
710.354 | N=2 supersymmetric spin foams in three dimensions | We construct the spin foam model for N=2 supergravity in three dimensions.
Classically, it is a BF theory with gauge algebra osp(2|2). This algebra has
representations which are not completely reducible. This complicates the
procedure when building a state sum. Fortunately, one can and should excise
these representations. We show that the restricted subset of representations
form a subcategory closed under tensor product. The resulting state-sum is once
again a topological invariant. Furthermore, within this framework one can
identify positively and negatively charged fermions propagating on the spin
foam. These results on osp(2|2) representations and intertwiners apply more
generally to spin network states for N=2 loop quantum supergravity (in 3+1
dimensions) where it allows to define a notion of BPS states.
| gr-qc hep-th | we construct the spin foam model for n2 supergravity in three dimensions classically it is a bf theory with gauge algebra osp22 this algebra has representations which are not completely reducible this complicates the procedure when building a state sum fortunately one can and should excise these representations we show that the restricted subset of representations form a subcategory closed under tensor product the resulting statesum is once again a topological invariant furthermore within this framework one can identify positively and negatively charged fermions propagating on the spin foam these results on osp22 representations and intertwiners apply more generally to spin network states for n2 loop quantum supergravity in 31 dimensions where it allows to define a notion of bps states | [['we', 'construct', 'the', 'spin', 'foam', 'model', 'for', 'n2', 'supergravity', 'in', 'three', 'dimensions', 'classically', 'it', 'is', 'a', 'bf', 'theory', 'with', 'gauge', 'algebra', 'osp22', 'this', 'algebra', 'has', 'representations', 'which', 'are', 'not', 'completely', 'reducible', 'this', 'complicates', 'the', 'procedure', 'when', 'building', 'a', 'state', 'sum', 'fortunately', 'one', 'can', 'and', 'should', 'excise', 'these', 'representations', 'we', 'show', 'that', 'the', 'restricted', 'subset', 'of', 'representations', 'form', 'a', 'subcategory', 'closed', 'under', 'tensor', 'product', 'the', 'resulting', 'statesum', 'is', 'once', 'again', 'a', 'topological', 'invariant', 'furthermore', 'within', 'this', 'framework', 'one', 'can', 'identify', 'positively', 'and', 'negatively', 'charged', 'fermions', 'propagating', 'on', 'the', 'spin', 'foam', 'these', 'results', 'on', 'osp22', 'representations', 'and', 'intertwiners', 'apply', 'more', 'generally', 'to', 'spin', 'network', 'states', 'for', 'n2', 'loop', 'quantum', 'supergravity', 'in', '31', 'dimensions', 'where', 'it', 'allows', 'to', 'define', 'a', 'notion', 'of', 'bps', 'states']] | [-0.11377677367711517, 0.21219154314930774, -0.0618979236619039, 0.0742632555073004, -0.07300751568934272, -0.1761334145264623, -0.027443663724159344, 0.35945291817573105, -0.2294254767119669, -0.2200722520755342, 0.09261748409629915, -0.24448187746050332, -0.18551270971613482, 0.1194763408169489, -0.08464243223174853, -0.0033038722443556, 0.04191139599208312, 0.08960574692161369, -0.0955118110792111, -0.2715502740230319, 0.35786900053201015, -0.048291389252182314, 0.2812303665502012, 0.023687572277647496, 0.10934156197708192, 0.027356887834670007, 0.039679082868666934, 0.008730139528508951, -0.08891137681396588, 0.13747504940795258, 0.2908890259967855, 0.07856833196653068, 0.14146775876225764, -0.41675946463576774, -0.17960042879755092, 0.1052779916458386, 0.17096631982063581, 0.1440422948563379, 0.03165334224840915, -0.2944276894265709, 0.08403422877438797, -0.22611606639063309, -0.10273988569667178, -0.14720170646290148, 0.026166672283429497, -0.1757549363734924, -0.242275246195803, 0.03389695564223345, 0.048515658296475354, -0.003452628723938357, -0.07373738223311592, -0.06559008977968585, -0.0826561251820704, 0.08217768615793845, 0.004893313345791819, 0.04884498298922477, 0.1226888938387471, -0.13433356579462422, -0.16618445722678724, 0.3415722966286515, -0.02240341885230881, -0.33447296638811425, 0.17677966345193957, -0.1572162659361589, -0.1855689022220548, 0.07723268816509277, 0.09187553669056617, 0.13786065423368546, -0.11496732994052486, 0.16286506127298633, -0.1161764425279434, 0.131398418691194, 0.0760622980777359, 0.037826869548259937, 0.2455314672306711, 0.08690730204482462, 0.06368100861653163, 0.1593233293388039, -0.012790007963160838, -0.10501513877798888, -0.3415145114880086, -0.17979973544027994, -0.09143617613364227, 0.14213215259747092, -0.08607637309933501, -0.1730405394572857, 0.41450724574306225, 0.11830041211960483, 0.1556373126694186, 0.09093244384670214, 0.20577674593645617, 0.09227014959535816, 0.11237869381304245, 0.09840861505497832, 0.16225377388090695, 0.18197665930040613, 0.001728097007663782, -0.15868015399718396, -0.06833609656145996, 0.1504904481559253] |
710.3541 | Dynamical parallax of sigma Ori AB: mass, distance and age | The massive OB-type binary sigma Ori AB is in the centre of the very young
sigma Orionis cluster. I have computed the most probable distances and masses
of the binary for several ages using a dynamical parallax-like method. It
incorporates the BVRIH-band apparent magnitudes of both components, precise
orbital parameters, interstellar extinction and a widely used grid of stellar
models from the literature, the Kepler's third law and a chi^2 minimisation.
The derived distance is 334^(+25)_(-22) pc for an age of 3+/-2 Ma; larger ages
and distances are unlikely. The masses of the primary and the secondary lie on
the approximate intervals 16-20 and 10-12 Msol, respectively. I also discuss
the possibility of sigma Ori AB being a triple system at ~385 pc. These results
will help to constrain the properties of young stars and substellar objects in
the sigma Orionis cluster.
| astro-ph | the massive obtype binary sigma ori ab is in the centre of the very young sigma orionis cluster i have computed the most probable distances and masses of the binary for several ages using a dynamical parallaxlike method it incorporates the bvrihband apparent magnitudes of both components precise orbital parameters interstellar extinction and a widely used grid of stellar models from the literature the keplers third law and a chi2 minimisation the derived distance is 33425_22 pc for an age of 32 ma larger ages and distances are unlikely the masses of the primary and the secondary lie on the approximate intervals 1620 and 1012 msol respectively i also discuss the possibility of sigma ori ab being a triple system at 385 pc these results will help to constrain the properties of young stars and substellar objects in the sigma orionis cluster | [['the', 'massive', 'obtype', 'binary', 'sigma', 'ori', 'ab', 'is', 'in', 'the', 'centre', 'of', 'the', 'very', 'young', 'sigma', 'orionis', 'cluster', 'i', 'have', 'computed', 'the', 'most', 'probable', 'distances', 'and', 'masses', 'of', 'the', 'binary', 'for', 'several', 'ages', 'using', 'a', 'dynamical', 'parallaxlike', 'method', 'it', 'incorporates', 'the', 'bvrihband', 'apparent', 'magnitudes', 'of', 'both', 'components', 'precise', 'orbital', 'parameters', 'interstellar', 'extinction', 'and', 'a', 'widely', 'used', 'grid', 'of', 'stellar', 'models', 'from', 'the', 'literature', 'the', 'keplers', 'third', 'law', 'and', 'a', 'chi2', 'minimisation', 'the', 'derived', 'distance', 'is', '33425_22', 'pc', 'for', 'an', 'age', 'of', '32', 'ma', 'larger', 'ages', 'and', 'distances', 'are', 'unlikely', 'the', 'masses', 'of', 'the', 'primary', 'and', 'the', 'secondary', 'lie', 'on', 'the', 'approximate', 'intervals', '1620', 'and', '1012', 'msol', 'respectively', 'i', 'also', 'discuss', 'the', 'possibility', 'of', 'sigma', 'ori', 'ab', 'being', 'a', 'triple', 'system', 'at', '385', 'pc', 'these', 'results', 'will', 'help', 'to', 'constrain', 'the', 'properties', 'of', 'young', 'stars', 'and', 'substellar', 'objects', 'in', 'the', 'sigma', 'orionis', 'cluster']] | [-0.07591868518255383, 0.11330508481195656, -0.07108500208906668, 0.11773061754496889, -0.09779808015676497, -0.07840530660502586, 0.08928465726617858, 0.3752424738657989, -0.2132308972445015, -0.351483388254486, 0.06670010900677671, -0.27356644267578134, -0.0372252067309811, 0.18741653414096401, -0.03849586465885099, -0.012670545543128584, 0.09871749841715309, 0.03062376689681743, -0.07390090368902512, -0.2423001547049222, 0.2927597500517857, 0.033925653070131005, 0.06849419062943768, -0.03897944528596114, 0.060036273493528663, -0.08430501309779587, -0.07154105648962888, -0.03465728926398664, -0.17289576809116297, 0.10263505785578607, 0.18240696636607837, 0.13708312222030578, 0.19236007185398246, -0.2857207039759742, -0.17912555062953256, 0.04564753438768198, 0.16819648857487252, 0.008813680900033, 0.004874555892378038, -0.270508076039163, 0.13167180675278725, -0.19940801893474816, -0.1940424134619802, 0.10627233956625565, 0.13068543243885256, 0.04558192430861401, -0.23232922445741488, 0.14824028101162617, -0.0015381053067063711, 0.11714639962925542, -0.13880156008225175, -0.2236203365505291, -0.04230019432097245, 0.11439317406578954, -0.00902989613589087, 0.08067421451304778, 0.12047759538663806, -0.11509669675297446, -0.04843638952580287, 0.43086460532901955, -0.03349171586338055, -0.05855910069972491, 0.2436056615694312, -0.16392199933636104, -0.1703101192842231, 0.1035520106004618, 0.140552013409793, 0.1431535872132555, -0.21828413324551188, 0.036842558097861466, 0.0075021609094449515, 0.22350681375414, 0.05272572172350056, 0.027693706596431007, 0.3269892006529589, 0.12258342100582052, -0.020671566772886483, 0.03289242901356904, -0.25884378137797276, -0.07265838940222513, -0.2402106861603989, -0.10950385189528088, -0.1021692740246017, 0.06517516295827604, -0.2032317934339412, -0.11354032290174806, 0.3334288526855731, 0.12634054891657914, 0.18504992572979317, 0.057066780509571244, 0.23279049313164873, 0.10492616837589647, 0.12544310602640882, 0.0966844929134299, 0.2990395547219103, 0.2276149199230315, 0.04783308655090576, -0.22805138806671763, 0.034318866613555515, 0.0051456342129666596] |
710.3542 | Transport and percolation in a low-density high-mobility two-dimensional
hole system | We present a study of the temperature and density dependence of the
resistivity of an extremely high quality two-dimensional hole system grown on
the (100) surface of GaAs. For high densities in the metallic regime ($p\agt 4
\times 10^{9}$ cm$^{-2}$), the nonmonotonic temperature dependence ($\sim
50-300$ mK) of the resistivity is consistent with temperature dependent
screening of residual impurities. At a fixed temperature of $T$= 50 mK, the
conductivity vs. density data indicates an inhomogeneity driven
percolation-type transition to an insulating state at a critical density of
$3.8\times 10^9$ cm$^{-2}$.
| cond-mat.mes-hall | we present a study of the temperature and density dependence of the resistivity of an extremely high quality twodimensional hole system grown on the 100 surface of gaas for high densities in the metallic regime pagt 4 times 109 cm2 the nonmonotonic temperature dependence sim 50300 mk of the resistivity is consistent with temperature dependent screening of residual impurities at a fixed temperature of t 50 mk the conductivity vs density data indicates an inhomogeneity driven percolationtype transition to an insulating state at a critical density of 38times 109 cm2 | [['we', 'present', 'a', 'study', 'of', 'the', 'temperature', 'and', 'density', 'dependence', 'of', 'the', 'resistivity', 'of', 'an', 'extremely', 'high', 'quality', 'twodimensional', 'hole', 'system', 'grown', 'on', 'the', '100', 'surface', 'of', 'gaas', 'for', 'high', 'densities', 'in', 'the', 'metallic', 'regime', 'pagt', '4', 'times', '109', 'cm2', 'the', 'nonmonotonic', 'temperature', 'dependence', 'sim', '50300', 'mk', 'of', 'the', 'resistivity', 'is', 'consistent', 'with', 'temperature', 'dependent', 'screening', 'of', 'residual', 'impurities', 'at', 'a', 'fixed', 'temperature', 'of', 't', '50', 'mk', 'the', 'conductivity', 'vs', 'density', 'data', 'indicates', 'an', 'inhomogeneity', 'driven', 'percolationtype', 'transition', 'to', 'an', 'insulating', 'state', 'at', 'a', 'critical', 'density', 'of', '38times', '109', 'cm2']] | [-0.14857334962321653, 0.23927348963835457, -0.01299694645115071, -0.03406521321869352, 0.07593203167327577, -0.10922868594320284, 0.09292425757222292, 0.34016382495562236, -0.15922025413148932, -0.3613347446338998, 0.035874455379477393, -0.3714048955589533, 0.01814926956883735, 0.17456010942502567, 0.025114843094100555, 0.0059556647511878206, -0.11758908778170331, -0.015510961798847549, -0.1777101014326844, -0.20151737282673518, 0.2345188299504419, 0.09416197674452431, 0.3525166083424766, 0.14695077549873126, 0.10034700723141819, -0.05638696875474933, 0.13881555875996127, 0.050056485309162076, -0.17926060016163523, -0.03465356116907464, 0.23634537196614677, -0.0812249386191575, 0.20666613957534233, -0.40453704974303645, -0.2008556379005313, -0.027416309838493667, 0.10304005797435012, 0.04006224852572712, -0.062314547423738986, -0.2106694415315158, 0.050893489662040436, -0.1661165066373845, -0.1463543149202855, -0.01204270689179086, 0.06628520871616073, -0.043837005130222276, -0.26548865436472824, 0.21670726265551316, -0.00027695870182166497, 0.12329097076629598, -0.10430975634759913, -0.14130086144303075, -0.06036503017207401, 0.0011690760335315846, 0.0162416578658546, 0.10524060115114682, 0.2669641239827292, -0.13721423787064851, 0.017774469358846544, 0.27914974948184357, -0.13969219408463687, 0.011836135314984455, 0.18818487411157953, -0.23410737984296348, -0.0870781001014014, 0.25988848550866045, 0.13696431717317964, 0.11410281711982356, -0.12361871330067516, 0.05516188159623804, 0.021999038281177895, 0.2672882026682297, 0.031668541125125356, 0.0369067033028437, 0.2537921195021934, 0.24347612709841795, 0.04554453060651819, 0.09663357583340257, -0.18203448135043598, 0.05308961135128306, -0.242147022837566, -0.14547944995057252, -0.1983926796250873, 0.13507438253404366, -0.17715914582610517, -0.188470220959021, 0.35191313868078095, 0.17955987267196177, 0.2863555543952518, -0.0003905038142369853, 0.23345147854027648, 0.17529910929216486, 0.027010241105583394, 0.10131330723977751, 0.18269705915202697, 0.21329000676697535, 0.1286697022875564, -0.2837886054327505, 0.04652596812488304, -0.07384890935564828] |
710.3543 | The significance of numerical coincidences in nature | This is the first part of a survey whose ultimate purpose is to clarify the
significance of the famous coincidence between the Hubble age of the universe
and a certain combination of microphysical parameters. In this part the way is
prepared by a discussion of the manner in which familiar local phenomena depend
qualitatively, and in order of magnitude, quantitatively on the fundamental
parameters of microphysics. In order to keep the account concise while
remaining self contained, only the barest essentials of the standard nuclear
physical and astrophysical calculations involved are given. Only six of the
fundamental parameters play a dominant part, namely the coupling constants of
the strong, electromagnetic, and gravitational forces, and the mass ratios of
the proton, neutron, electron and pi-meson. Attention is drawn to the important
consequences of three coincidental relationships between these parameters. It
is shown that most of the principle limiting masses of astrophysics arise (in
fundamental units) simply as the reciprocal of the gravitational fine structure
constant, with relatively small adjustment factors. The dividing point between
red dwarf and blue giant stars turns out to be an exception: this division
occurs within the range of the main sequence stars only as a consequence of the
rather exotic coincidence that the ninth power of the electromagnetic fine
structure constant is roughly equal to the square root of the gravitational
fine structure constant.
| hep-th astro-ph gr-qc hep-ph | this is the first part of a survey whose ultimate purpose is to clarify the significance of the famous coincidence between the hubble age of the universe and a certain combination of microphysical parameters in this part the way is prepared by a discussion of the manner in which familiar local phenomena depend qualitatively and in order of magnitude quantitatively on the fundamental parameters of microphysics in order to keep the account concise while remaining self contained only the barest essentials of the standard nuclear physical and astrophysical calculations involved are given only six of the fundamental parameters play a dominant part namely the coupling constants of the strong electromagnetic and gravitational forces and the mass ratios of the proton neutron electron and pimeson attention is drawn to the important consequences of three coincidental relationships between these parameters it is shown that most of the principle limiting masses of astrophysics arise in fundamental units simply as the reciprocal of the gravitational fine structure constant with relatively small adjustment factors the dividing point between red dwarf and blue giant stars turns out to be an exception this division occurs within the range of the main sequence stars only as a consequence of the rather exotic coincidence that the ninth power of the electromagnetic fine structure constant is roughly equal to the square root of the gravitational fine structure constant | [['this', 'is', 'the', 'first', 'part', 'of', 'a', 'survey', 'whose', 'ultimate', 'purpose', 'is', 'to', 'clarify', 'the', 'significance', 'of', 'the', 'famous', 'coincidence', 'between', 'the', 'hubble', 'age', 'of', 'the', 'universe', 'and', 'a', 'certain', 'combination', 'of', 'microphysical', 'parameters', 'in', 'this', 'part', 'the', 'way', 'is', 'prepared', 'by', 'a', 'discussion', 'of', 'the', 'manner', 'in', 'which', 'familiar', 'local', 'phenomena', 'depend', 'qualitatively', 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710.3544 | Wigner functions, Fresnel optics, and symplectic connections on phase
space | We prove that Wigner functions contain a symplectic connection. The latter
covariantises the symplectic exterior derivative on phase space. We analyse the
role played by this connection and introduce the notion of local symplectic
covariance of quantum-mechanical states. This latter symmetry is at work in the
Schroedinger equation on phase space.
| math-ph hep-th math.MP quant-ph | we prove that wigner functions contain a symplectic connection the latter covariantises the symplectic exterior derivative on phase space we analyse the role played by this connection and introduce the notion of local symplectic covariance of quantummechanical states this latter symmetry is at work in the schroedinger equation on phase space | [['we', 'prove', 'that', 'wigner', 'functions', 'contain', 'a', 'symplectic', 'connection', 'the', 'latter', 'covariantises', 'the', 'symplectic', 'exterior', 'derivative', 'on', 'phase', 'space', 'we', 'analyse', 'the', 'role', 'played', 'by', 'this', 'connection', 'and', 'introduce', 'the', 'notion', 'of', 'local', 'symplectic', 'covariance', 'of', 'quantummechanical', 'states', 'this', 'latter', 'symmetry', 'is', 'at', 'work', 'in', 'the', 'schroedinger', 'equation', 'on', 'phase', 'space']] | [-0.18993242451921105, 0.11618081262335181, -0.12576122650643812, 0.09336725583998487, -0.11183098251698538, -0.041269821850582956, 0.005817690510302782, 0.3454914901405573, -0.2620375307369977, -0.2120777479559183, 0.04752608227310702, -0.23452413212507964, -0.2392721326649189, 0.05849712233990431, -0.0717381857894361, 0.00404613227583468, 0.03508047793060541, 0.04363460727035999, -0.1768207711027935, -0.20389450599905104, 0.47331309454515574, 0.018866145676001908, 0.2457715568691492, 0.008330831723287701, 0.1451265504793264, 0.03151082714088261, -0.02171081549488008, -0.08377101304125972, -0.14524988409670186, 0.0900857238972094, 0.2198793057259172, 0.029219496878795326, 0.24329204175621272, -0.4373522882536054, -0.19725964607670904, 0.1525264541245997, 0.10510262070223689, 0.052619055001996456, -0.04924540057312697, -0.3364229054376483, -0.004704808909446001, -0.1283637931756675, -0.19606137092690915, -0.1087564991787076, -0.003472539493814111, -0.07156285097822547, -0.1521096325851977, 0.09640983674675226, 0.10802796004340053, 0.059993000077083705, -0.0628894556639716, -0.04227002449333668, -0.040913704382255674, 0.048649832205846906, -0.02559531489852816, 0.050942588215693835, 0.07113292636349797, -0.0669894255232066, -0.08331925347447396, 0.3562232152558863, -0.03334255808964372, -0.31161835819948464, 0.07462129693478346, -0.17597928669303656, -0.19751431840471922, 0.07365331915392744, 0.13673591116443276, 0.1169898522272706, -0.05937533752992749, 0.1938380063592922, -0.0629635818861425, 0.08083598075434566, 0.10365986231714487, 0.07146787821315229, 0.14762043185532092, 0.0977572353510186, 0.12165374366566539, 0.13996268210932614, -0.023880839226767422, -0.21784008208662273, -0.37448639422655106, -0.23181411877274513, -0.2053714196011424, 0.0992612705938518, -0.10560222624771995, -0.16057707756757736, 0.4166428558342159, 0.06748358629643918, 0.17668733451515437, 0.06370852440595627, 0.21460844248533248, 0.15692338909953832, 0.020896100148092955, 0.027624528361484407, 0.2256026501581073, 0.22253122624475508, 0.0925388063956052, -0.25609647422097626, -0.006378371492028237, 0.19025531361345202] |
710.3545 | Search for Dark Matter Annihilation in Draco with STACEE | For some time, the Draco dwarf spheroidal galaxy has garnered interest as a
possible source for the indirect detection of dark matter. Its large
mass-to-light ratio and relative proximity to the Earth provide favorable
conditions for the production of detectable gamma rays from dark matter
self-annihilation in its core. The Solar Tower Atmospheric Cherenkov Effect
Experiment (STACEE) is an air-shower Cherenkov telescope located in
Albuquerque, NM capable of detecting gamma rays at energies above 100 GeV. We
present the results of the STACEE observations of Draco during the 2005-2006
observing season totaling 10 hours of livetime after cuts.
| astro-ph | for some time the draco dwarf spheroidal galaxy has garnered interest as a possible source for the indirect detection of dark matter its large masstolight ratio and relative proximity to the earth provide favorable conditions for the production of detectable gamma rays from dark matter selfannihilation in its core the solar tower atmospheric cherenkov effect experiment stacee is an airshower cherenkov telescope located in albuquerque nm capable of detecting gamma rays at energies above 100 gev we present the results of the stacee observations of draco during the 20052006 observing season totaling 10 hours of livetime after cuts | [['for', 'some', 'time', 'the', 'draco', 'dwarf', 'spheroidal', 'galaxy', 'has', 'garnered', 'interest', 'as', 'a', 'possible', 'source', 'for', 'the', 'indirect', 'detection', 'of', 'dark', 'matter', 'its', 'large', 'masstolight', 'ratio', 'and', 'relative', 'proximity', 'to', 'the', 'earth', 'provide', 'favorable', 'conditions', 'for', 'the', 'production', 'of', 'detectable', 'gamma', 'rays', 'from', 'dark', 'matter', 'selfannihilation', 'in', 'its', 'core', 'the', 'solar', 'tower', 'atmospheric', 'cherenkov', 'effect', 'experiment', 'stacee', 'is', 'an', 'airshower', 'cherenkov', 'telescope', 'located', 'in', 'albuquerque', 'nm', 'capable', 'of', 'detecting', 'gamma', 'rays', 'at', 'energies', 'above', '100', 'gev', 'we', 'present', 'the', 'results', 'of', 'the', 'stacee', 'observations', 'of', 'draco', 'during', 'the', '20052006', 'observing', 'season', 'totaling', '10', 'hours', 'of', 'livetime', 'after', 'cuts']] | [-0.09734975873749246, 0.2042069305222997, -0.06155468239829096, 0.1377205324266581, -0.1027092083846694, -0.05296186363913727, 0.015933097499346703, 0.38454285340041533, -0.14967896063260885, -0.4447244306151964, 0.041042886995140235, -0.3131359040509073, 0.019488976548463866, 0.2485841516861502, 0.012423668004458353, -0.003531975862902722, 0.16188280663645485, -0.01635265630896783, -0.005307869520632322, -0.2529122036862738, 0.2023406600655646, 0.20640174845917797, 0.1650726051231352, 0.04519215983823322, 0.10396320249514693, -0.04788952238135496, -0.07171345353114647, -0.11812225046890731, -0.1342574792049293, 0.007826406465919346, 0.2607724329038542, 0.150890941446533, 0.1506477631295898, -0.3748055150428293, -0.17518129954304623, 0.15537412543733586, 0.08183765973021485, -0.0629872971081308, -0.1120357236311752, -0.3912746134708274, 0.04779055604369056, -0.19090916527131077, -0.18093952077573963, 0.14019287523946591, 0.043865049115325114, -0.015436304683264877, -0.1851923286223461, 0.06602537038507966, -0.04343205323876107, 0.05669402758286772, -0.08537413508688309, -0.18567450797394375, -0.010611137157847762, 0.04070126432070167, 0.08177001531739549, 0.008121526419964373, 0.21698959268230414, -0.15179928317095856, -0.04788386170296188, 0.4191681312359109, -0.13524471084131118, 0.06031602565721818, 0.172131017876827, -0.1832230893695461, -0.16544711399272236, 0.23338879081325567, 0.18973218982240983, 0.08606223962554822, -0.16276690358181997, 0.07626371694270198, -0.023206462532433927, 0.17166312482939766, 0.11747875967424135, 0.02027786194067092, 0.3354597212176542, 0.20590577905579488, 0.12636817872942407, 0.05810468871269983, -0.3513644908136707, 0.040357617347154345, -0.3026958045986842, -0.14265079280285506, -0.13867247623405704, 0.06980412473845087, -0.09144463205079867, -0.06261996713904094, 0.38056958711953187, 0.08966720079033806, 0.1507902658112081, 0.00748306963763827, 0.2960708323867317, -0.007222904986464323, 0.055236927376185754, 0.030619894056961094, 0.3876668819744848, 0.12995629153470983, 0.14679659049653884, -0.2069627049079697, 0.04100264303804356, -0.03806435140990177] |
710.3546 | OCHA and the swiss-cheese operad | In this paper we show that the relation between Kajiura-Stasheff's OCHA and
A. Voronov's swiss-cheese operad is analogous to the relation between SH Lie
algebras and the little discs operad. More precisely, we show that the OCHA
operad is quasi-isomorphic to the operad of top-dimensional homology classes of
the swiss-cheese operad.
| math.QA math.AT | in this paper we show that the relation between kajiurastasheffs ocha and a voronovs swisscheese operad is analogous to the relation between sh lie algebras and the little discs operad more precisely we show that the ocha operad is quasiisomorphic to the operad of topdimensional homology classes of the swisscheese operad | [['in', 'this', 'paper', 'we', 'show', 'that', 'the', 'relation', 'between', 'kajiurastasheffs', 'ocha', 'and', 'a', 'voronovs', 'swisscheese', 'operad', 'is', 'analogous', 'to', 'the', 'relation', 'between', 'sh', 'lie', 'algebras', 'and', 'the', 'little', 'discs', 'operad', 'more', 'precisely', 'we', 'show', 'that', 'the', 'ocha', 'operad', 'is', 'quasiisomorphic', 'to', 'the', 'operad', 'of', 'topdimensional', 'homology', 'classes', 'of', 'the', 'swisscheese', 'operad']] | [-0.16943713291781023, -0.004801378017291426, -0.07151483315974475, 0.19375646469416097, -0.1784108379110694, -0.08840823579579592, -0.07821206195047126, 0.442020815089345, -0.4411471888050437, -0.2371669030096382, 0.0486513861711137, -0.21969018336385487, -0.26972891099750995, 0.14658427257090806, -0.25230681350454687, -0.16666043791919946, 0.06249459592625499, 0.05096232870593667, -0.05901952175423503, -0.23218206487596035, 0.5133374473452568, 0.047325889258645476, 0.19127381671220064, -0.02909662064164877, 0.08460774244740606, -0.08944043975323439, 0.014841956160962582, -0.038917220605071634, -0.24911801411915804, 0.1374496116489172, 0.3115980504825711, 0.004372380911372602, 0.06473490413278342, -0.3582477792352438, -0.03425988830626011, 0.19793314084410668, 0.15716167207807302, 0.04329945210833103, 0.0008233856162405573, -0.17310799486935138, 0.12132335974602029, -0.2748062586039305, -0.045642363820225, 0.02893682576715946, 0.17202757466584445, -0.04090798638761044, -0.15747419029474258, -0.023560104565694927, 0.14635364551097155, 0.0999830088764429, -0.07961253123357892, -0.03154830262064934, -0.20446548964828254, 0.08319594482891261, -0.07137341672554612, 0.0715684071276337, 0.10081826956942677, -0.1047227131249383, -0.11561403747648001, 0.34766768239438534, -0.05532275728881359, -0.18831331351771952, 0.11080307558178902, -0.1850221386924386, -0.22993891836376862, 0.0615465847402811, -0.08864507850259543, 0.1866199180483818, 0.013535262905061246, 0.22047225219896063, -0.1325999771244824, 0.10284584219334647, 0.13427218429744245, -0.01969883557409048, 0.15151667547412218, 0.15680042445659637, 0.01394523425027728, 0.201099164634943, 0.06501697451807559, -0.10269287900999188, -0.2529441633820534, -0.2005596954934299, 0.018048001737333834, 0.1644325255230069, -0.1614342354045948, -0.1420961445569992, 0.2831668923795223, 0.16848295491188764, 0.16997642875183375, 0.21996243987232447, 0.2473389571160078, -0.03380865726619959, 0.1571294154971838, -0.01929873751476407, 0.14259254481643438, 0.2968973360955715, 0.015324704572558403, -0.13398990274290554, -0.048030865527689454, 0.24536275489255785] |
710.3547 | Quantum Noise, Scaling and Domain Formation in a Spinor BEC | In this paper we discuss Bose-Einstein spinor condensates for F=1 atoms in
the context of 87Rb, as studied experimentally by the Stamper-Kurn group
[Sadler et al. Nature (2006)]. The dynamical quantum fluctuations of a sample
that starts as a condensate of N atoms in a pure F=1, m_F = 0 state are
described in analogy to the `two-mode squeezing' of quantum optics in terms of
an su(1,1) algebra. In this system the initial m_F=0 condensate acts as a
source (`pump') for the creation pairs of m_F =+1,-1 atoms. We show that even
though the system as a whole is described by a pure state with zero entropy,
the reduced density matrix for the m_F = +1 degree of freedom, obtained by
tracing out the m_F = -1,0 degrees of freedom, corresponds to a thermal state.
Furthermore, these quantum fluctuations of the initial dynamics of the system
provide the seeds for the formation of domains of ferromagnetically aligned
spins.
| cond-mat.stat-mech quant-ph | in this paper we discuss boseeinstein spinor condensates for f1 atoms in the context of 87rb as studied experimentally by the stamperkurn group sadler et al nature 2006 the dynamical quantum fluctuations of a sample that starts as a condensate of n atoms in a pure f1 m_f 0 state are described in analogy to the twomode squeezing of quantum optics in terms of an su11 algebra in this system the initial m_f0 condensate acts as a source pump for the creation pairs of m_f 11 atoms we show that even though the system as a whole is described by a pure state with zero entropy the reduced density matrix for the m_f 1 degree of freedom obtained by tracing out the m_f 10 degrees of freedom corresponds to a thermal state furthermore these quantum fluctuations of the initial dynamics of the system provide the seeds for the formation of domains of ferromagnetically aligned spins | [['in', 'this', 'paper', 'we', 'discuss', 'boseeinstein', 'spinor', 'condensates', 'for', 'f1', 'atoms', 'in', 'the', 'context', 'of', '87rb', 'as', 'studied', 'experimentally', 'by', 'the', 'stamperkurn', 'group', 'sadler', 'et', 'al', 'nature', '2006', 'the', 'dynamical', 'quantum', 'fluctuations', 'of', 'a', 'sample', 'that', 'starts', 'as', 'a', 'condensate', 'of', 'n', 'atoms', 'in', 'a', 'pure', 'f1', 'm_f', '0', 'state', 'are', 'described', 'in', 'analogy', 'to', 'the', 'twomode', 'squeezing', 'of', 'quantum', 'optics', 'in', 'terms', 'of', 'an', 'su11', 'algebra', 'in', 'this', 'system', 'the', 'initial', 'm_f0', 'condensate', 'acts', 'as', 'a', 'source', 'pump', 'for', 'the', 'creation', 'pairs', 'of', 'm_f', '11', 'atoms', 'we', 'show', 'that', 'even', 'though', 'the', 'system', 'as', 'a', 'whole', 'is', 'described', 'by', 'a', 'pure', 'state', 'with', 'zero', 'entropy', 'the', 'reduced', 'density', 'matrix', 'for', 'the', 'm_f', '1', 'degree', 'of', 'freedom', 'obtained', 'by', 'tracing', 'out', 'the', 'm_f', '10', 'degrees', 'of', 'freedom', 'corresponds', 'to', 'a', 'thermal', 'state', 'furthermore', 'these', 'quantum', 'fluctuations', 'of', 'the', 'initial', 'dynamics', 'of', 'the', 'system', 'provide', 'the', 'seeds', 'for', 'the', 'formation', 'of', 'domains', 'of', 'ferromagnetically', 'aligned', 'spins']] | [-0.16048629292250646, 0.24417345872681434, -0.033828560191670784, -0.00017164092187394763, 0.07569812824828671, -0.09903767022270975, 0.03461121490705976, 0.3094273624675615, -0.22034681499285574, -0.2677396373436242, 0.032204832165054494, -0.27281946911742644, -0.05914313463696774, 0.13381653681530484, 0.016146576149969713, 0.015835630030117252, 0.026257117012781755, 0.05091709191264591, -0.07440699669895331, -0.2703911496277947, 0.33502890457776785, 0.02920730624350949, 0.25377216640037376, -0.012729893547373933, 0.12317712174111663, 0.001030435553198535, 0.10072672666903199, -0.03305775955827399, -0.10863548848377737, 0.06120433822401206, 0.22651310476123707, 0.08233757365748963, 0.2389111635275185, -0.3889265748935917, -0.19477450354221312, 0.08403222457288051, 0.15997249194702085, 0.1587107395760824, -0.0157565514363542, -0.316040478407877, -0.0085462150466326, -0.19644075063861946, -0.20201124911281196, -0.0789407880133163, 0.05710304761985801, -0.0046076739581858185, -0.2689277061515234, 0.11044018396007066, 0.09805261991466789, 0.06582109129370807, -0.043922756329880325, -0.09985411644976755, -0.04411016748431925, 0.056991343295758036, -0.059111946303996125, 0.06173135951318621, 0.15574107056048203, -0.17990657088479825, -0.1232381199952215, 0.3669994362001005, -0.11596494242805963, -0.1681455370453005, 0.15074969684953088, -0.1401668265178443, -0.0678388730126929, 0.09086510623720559, 0.11737344578489081, 0.11942687555663771, -0.09996757237240672, 0.09341014769578779, -0.055221351039710806, 0.2033218401597583, 0.07916376522330978, 0.07916692957620729, 0.23472147742165372, 0.12611123130886587, 0.03983155231281825, 0.20498296409821162, -0.045608509874709144, -0.1397750727570005, -0.3011238941221268, -0.19201999363888586, -0.2228584501184765, 0.1116786117592899, -0.045567042684158336, -0.11836561266115153, 0.38022607228682415, 0.11776887527939126, 0.2135435921962482, -0.04336392667217107, 0.2178022756979063, 0.10760335255015109, 0.008658579765371495, 0.03300635799857812, 0.24970909942534159, 0.18995617456770467, 0.07211876012892886, -0.2699174618963817, -0.04071406036155758, 0.02685548009066661] |
710.3548 | Single and binary evolution of Population III stars and their supernovae
light curves | We present stellar evolution calculations for Population III stars for both
single and binary star evolution. Our models include 10 Msun and 16.5 Msun
single stars and a 10 Msun model star that undergoes an episode of accretion
resulting in a final mass of 16.1 Msun. For comparison, we present the
evolution of a solar heavy element abundance model. We use the structure from
late stage evolution models to calculate simulated supernova light curves.
Light curve comparisons are made between accretion and non-accretion progenitor
models, and models for single star evolution of comparable masses. Where
possible, we make comparisons to previous works. Similar investigations have
been carried out, but primarily for solar or near solar heavy metal abundance
stars and not including both the evolution and supernovae explosions in one
work.
| astro-ph | we present stellar evolution calculations for population iii stars for both single and binary star evolution our models include 10 msun and 165 msun single stars and a 10 msun model star that undergoes an episode of accretion resulting in a final mass of 161 msun for comparison we present the evolution of a solar heavy element abundance model we use the structure from late stage evolution models to calculate simulated supernova light curves light curve comparisons are made between accretion and nonaccretion progenitor models and models for single star evolution of comparable masses where possible we make comparisons to previous works similar investigations have been carried out but primarily for solar or near solar heavy metal abundance stars and not including both the evolution and supernovae explosions in one work | [['we', 'present', 'stellar', 'evolution', 'calculations', 'for', 'population', 'iii', 'stars', 'for', 'both', 'single', 'and', 'binary', 'star', 'evolution', 'our', 'models', 'include', '10', 'msun', 'and', '165', 'msun', 'single', 'stars', 'and', 'a', '10', 'msun', 'model', 'star', 'that', 'undergoes', 'an', 'episode', 'of', 'accretion', 'resulting', 'in', 'a', 'final', 'mass', 'of', '161', 'msun', 'for', 'comparison', 'we', 'present', 'the', 'evolution', 'of', 'a', 'solar', 'heavy', 'element', 'abundance', 'model', 'we', 'use', 'the', 'structure', 'from', 'late', 'stage', 'evolution', 'models', 'to', 'calculate', 'simulated', 'supernova', 'light', 'curves', 'light', 'curve', 'comparisons', 'are', 'made', 'between', 'accretion', 'and', 'nonaccretion', 'progenitor', 'models', 'and', 'models', 'for', 'single', 'star', 'evolution', 'of', 'comparable', 'masses', 'where', 'possible', 'we', 'make', 'comparisons', 'to', 'previous', 'works', 'similar', 'investigations', 'have', 'been', 'carried', 'out', 'but', 'primarily', 'for', 'solar', 'or', 'near', 'solar', 'heavy', 'metal', 'abundance', 'stars', 'and', 'not', 'including', 'both', 'the', 'evolution', 'and', 'supernovae', 'explosions', 'in', 'one', 'work']] | [-0.010698677394325838, 0.13731728069484678, -0.048336271955525034, 0.11389453181613038, -0.07720280010502018, -0.07760546119343348, 0.06636880757420445, 0.4177534327280658, -0.1200113441930188, -0.38655154746850484, 0.060054604452856965, -0.31943612258511644, -0.016369170379533452, 0.19904127833611182, -0.0162996240333989, -0.0015924724320106152, 0.16854426337633538, -0.06103840920334781, -0.11543337233188626, -0.26350263742825997, 0.30545347480846297, 0.03960149769337123, 0.13330436866901074, -0.043923859253440424, 0.038846410366614126, -0.12431654502987152, -0.04731082536265937, -0.08989639720681322, -0.16755241023596307, -0.012655038037976091, 0.168605165967748, 0.17257885579979546, 0.17920635573971191, -0.4132596597871708, -0.26859399876095186, 0.0633715647023939, 0.2044268087075156, 0.06921340831207069, -0.16423818438832882, -0.17767005329258484, 0.0634718271414927, -0.23657790037895773, -0.13800088931159435, 0.052010505709029334, 0.033497556241563316, 0.01755168735412241, -0.2698081317699856, 0.11135477605871216, 0.017069117539341896, 0.07770555786461213, -0.12707496395171086, -0.11235485725701992, -0.09486538692526804, 0.07319087117291873, 0.032531967583887336, 0.041794707938204056, 0.13945351610713788, -0.10740132950857736, -0.011451844445906068, 0.44461153786032254, -0.12294415126462246, -0.006202053264465951, 0.2284803863184683, -0.17631316206325556, -0.18186078173328787, 0.10468064087824291, 0.19995032076702546, 0.18055535135577425, -0.1897785917554541, -0.04672002312078546, 0.0397832062635713, 0.2053534702810224, 0.018305255061029705, -0.000988679876866953, 0.3600079778738263, 0.19810846835581003, -0.08901345897430397, 0.022758661400533873, -0.19440623640104104, -0.12226400996481943, -0.20756546673827045, -0.11223940322182731, -0.05918226604357021, 0.10629270878588898, -0.1317775109597306, -0.12298907638698077, 0.35340039043168303, 0.12420171226076213, 0.2266429726617368, 0.03805138335655664, 0.2682725334227199, 0.050034353535316656, 0.06938845535228384, 0.12461398695844389, 0.31790820061307373, 0.2106589961135831, 0.10689343541917455, -0.2530337510726464, 0.0815718463543831, 0.02153958602211232] |
710.3549 | Two-Qubit Hilbert-Schmidt Separability Functions and Probabilities for
Full-Dimensional Even-Dyson-Index Scenarios | We extend the findings and analyses of our two recent studies (Phys. Rev. A,
75, 032326 [2007] and arXiv:0704.3723) by, first, obtaining numerical estimates
of the separability function based on the (Euclidean, flat) Hilbert-Schmidt
(HS) metric for the 27-dimensional convex set of quaternionic two-qubit
systems. The estimated function appears to be strongly consistent with our
previously-formulated Dyson-index (beta = 1, 2, 4) ansatz, dictating that the
quaternionic (beta=4) separability function should be exactly proportional to
the square of the separability function for the 15-dimensional convex set of
two-qubit complex (beta=2) systems, as well as the fourth power of the
separability function for the 9-dimensional convex set of two-qubit real
(beta=1) systems. In particular, we conclude that S_{quat}(mu) =(6/71)^2
((3-mu^2) mu)^4 =(S_{complex}(mu))^2. Here, mu =(rho_{11} rho_{44}/(rho_{22}
rho_{33})^(1/2), where rho is a 4 x 4 two-qubit density matrix. We can, thus,
supplement (and fortify) our previous assertion that the HS separability
probability of the two-qubit complex states is 8/33= 0.242424, by claiming that
its quaternionic counterpart is 72442944/936239725 = 0.0773765. We also comment
on and analyze the odd beta=1 and 3 cases.
| quant-ph math-ph math.MP | we extend the findings and analyses of our two recent studies phys rev a 75 032326 2007 and arxiv07043723 by first obtaining numerical estimates of the separability function based on the euclidean flat hilbertschmidt hs metric for the 27dimensional convex set of quaternionic twoqubit systems the estimated function appears to be strongly consistent with our previouslyformulated dysonindex beta 1 2 4 ansatz dictating that the quaternionic beta4 separability function should be exactly proportional to the square of the separability function for the 15dimensional convex set of twoqubit complex beta2 systems as well as the fourth power of the separability function for the 9dimensional convex set of twoqubit real beta1 systems in particular we conclude that s_quatmu 6712 3mu2 mu4 s_complexmu2 here mu rho_11 rho_44rho_22 rho_3312 where rho is a 4 x 4 twoqubit density matrix we can thus supplement and fortify our previous assertion that the hs separability probability of the twoqubit complex states is 833 0242424 by claiming that its quaternionic counterpart is 72442944936239725 00773765 we also comment on and analyze the odd beta1 and 3 cases | [['we', 'extend', 'the', 'findings', 'and', 'analyses', 'of', 'our', 'two', 'recent', 'studies', 'phys', 'rev', 'a', '75', '032326', '2007', 'and', 'arxiv07043723', 'by', 'first', 'obtaining', 'numerical', 'estimates', 'of', 'the', 'separability', 'function', 'based', 'on', 'the', 'euclidean', 'flat', 'hilbertschmidt', 'hs', 'metric', 'for', 'the', '27dimensional', 'convex', 'set', 'of', 'quaternionic', 'twoqubit', 'systems', 'the', 'estimated', 'function', 'appears', 'to', 'be', 'strongly', 'consistent', 'with', 'our', 'previouslyformulated', 'dysonindex', 'beta', '1', '2', '4', 'ansatz', 'dictating', 'that', 'the', 'quaternionic', 'beta4', 'separability', 'function', 'should', 'be', 'exactly', 'proportional', 'to', 'the', 'square', 'of', 'the', 'separability', 'function', 'for', 'the', '15dimensional', 'convex', 'set', 'of', 'twoqubit', 'complex', 'beta2', 'systems', 'as', 'well', 'as', 'the', 'fourth', 'power', 'of', 'the', 'separability', 'function', 'for', 'the', '9dimensional', 'convex', 'set', 'of', 'twoqubit', 'real', 'beta1', 'systems', 'in', 'particular', 'we', 'conclude', 'that', 's_quatmu', '6712', '3mu2', 'mu4', 's_complexmu2', 'here', 'mu', 'rho_11', 'rho_44rho_22', 'rho_3312', 'where', 'rho', 'is', 'a', '4', 'x', '4', 'twoqubit', 'density', 'matrix', 'we', 'can', 'thus', 'supplement', 'and', 'fortify', 'our', 'previous', 'assertion', 'that', 'the', 'hs', 'separability', 'probability', 'of', 'the', 'twoqubit', 'complex', 'states', 'is', '833', '0242424', 'by', 'claiming', 'that', 'its', 'quaternionic', 'counterpart', 'is', '72442944936239725', '00773765', 'we', 'also', 'comment', 'on', 'and', 'analyze', 'the', 'odd', 'beta1', 'and', '3', 'cases']] | [-0.10968761388760279, 0.0893518286250422, -0.019547532654970008, 0.0592040632474784, 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0.018266571383676766, -0.20944558443118105, -0.0029555007452419135, 0.03953227236565641] |
710.355 | Free frobenius algebra on the differential forms of a manifold | We construct an action of a free resolution of the Frobenius properad on the
differential forms of a closed oriented manifold. As a consequence, the forms
of a manifold with values in a semi-simple Lie algebra have an additional
structure given by an action of a free resolution of the properad describing
Lie di-algebras with module compatibility.
| math.QA math.AT | we construct an action of a free resolution of the frobenius properad on the differential forms of a closed oriented manifold as a consequence the forms of a manifold with values in a semisimple lie algebra have an additional structure given by an action of a free resolution of the properad describing lie dialgebras with module compatibility | [['we', 'construct', 'an', 'action', 'of', 'a', 'free', 'resolution', 'of', 'the', 'frobenius', 'properad', 'on', 'the', 'differential', 'forms', 'of', 'a', 'closed', 'oriented', 'manifold', 'as', 'a', 'consequence', 'the', 'forms', 'of', 'a', 'manifold', 'with', 'values', 'in', 'a', 'semisimple', 'lie', 'algebra', 'have', 'an', 'additional', 'structure', 'given', 'by', 'an', 'action', 'of', 'a', 'free', 'resolution', 'of', 'the', 'properad', 'describing', 'lie', 'dialgebras', 'with', 'module', 'compatibility']] | [-0.22417076611727998, 0.023030106075007974, -0.09933287240238044, 0.010374187442817186, -0.1404966512008717, -0.07675516397871993, -0.07080148487237461, 0.3682487837382053, -0.33974625111410495, -0.26216527469979045, 0.11257291944460585, -0.18918759604556518, -0.14123300971920816, 0.18945929914582194, -0.1306223653649029, -0.08644733208067217, 0.09792267171698704, 0.22194782049770942, -0.13660726271439017, -0.19540417079585032, 0.47016769543028714, 0.06799498468376043, 0.1980921224641957, -0.018941669536983233, 0.2367919587383145, 0.005155578419043307, 0.05224231480245005, 0.00763896989979242, -0.13288653223660954, 0.1720406908149782, 0.2619348499401097, 0.05802877563493032, 0.20414876814098343, -0.3811253860200706, -0.13442097656559526, 0.07612507247055571, 0.09300465465180184, 0.026784222769109828, -0.07118582953658086, -0.2856763220277795, 0.07773575828851838, -0.22322795298277287, -0.14358746842889672, -0.05454589460829371, 0.03827472851333911, -0.04388094984256385, -0.245114839273268, -0.029199347455512014, 0.07248444172243278, 0.18662231170169993, -0.16079553620677375, -0.0517385640230618, -0.0758599566230387, 0.11250047586662204, -0.08964216360299472, 0.028566297568511544, 0.09772613191192872, -0.15630448580180345, -0.17414356010002002, 0.3787435809509796, -0.09381986680653012, -0.28807580935066207, 0.12771790401127778, -0.1372378362391732, -0.13582184577458783, 0.14056708673505405, 0.06045544668705317, 0.1543077357897633, -0.08179157264959558, 0.20755224338356862, -0.10935769516059704, 0.0835091388669976, 0.07245782040582414, -0.03358076563464445, 0.15816790630158625, 0.17112237828571283, 0.09882811660747648, 0.09212247884358492, 0.012884058585194381, -0.007368046496259539, -0.3870775618083906, -0.22559371858573796, -0.07086059660242315, 0.19679023720846886, -0.12473337793428647, -0.2213556089748939, 0.39817127381173667, 0.026531966795262537, 0.28052591141966876, 0.08900047954694744, 0.20639134319335745, 0.12160711200997691, 0.14802495808454982, 0.02324437827133296, 0.07360629103424256, 0.2657274850766714, -0.043069183654887114, -0.14313636167922564, -0.08381417493352242, 0.1576054382644463] |
710.3551 | Rubber friction on (apparently) smooth lubricated surfaces | We study rubber sliding friction on hard lubricated surfaces. We show that
even if the hard surface appears smooth to the naked eye, it may exhibit short
wavelength roughness, which may give the dominant contribution to rubber
friction. That is, the observed sliding friction is mainly due to the
viscoelastic deformations of the rubber by the substrate surface asperities.
The presented results are of great importance for rubber sealing and other
rubber applications involving (apparently) smooth surfaces.
| cond-mat.soft | we study rubber sliding friction on hard lubricated surfaces we show that even if the hard surface appears smooth to the naked eye it may exhibit short wavelength roughness which may give the dominant contribution to rubber friction that is the observed sliding friction is mainly due to the viscoelastic deformations of the rubber by the substrate surface asperities the presented results are of great importance for rubber sealing and other rubber applications involving apparently smooth surfaces | [['we', 'study', 'rubber', 'sliding', 'friction', 'on', 'hard', 'lubricated', 'surfaces', 'we', 'show', 'that', 'even', 'if', 'the', 'hard', 'surface', 'appears', 'smooth', 'to', 'the', 'naked', 'eye', 'it', 'may', 'exhibit', 'short', 'wavelength', 'roughness', 'which', 'may', 'give', 'the', 'dominant', 'contribution', 'to', 'rubber', 'friction', 'that', 'is', 'the', 'observed', 'sliding', 'friction', 'is', 'mainly', 'due', 'to', 'the', 'viscoelastic', 'deformations', 'of', 'the', 'rubber', 'by', 'the', 'substrate', 'surface', 'asperities', 'the', 'presented', 'results', 'are', 'of', 'great', 'importance', 'for', 'rubber', 'sealing', 'and', 'other', 'rubber', 'applications', 'involving', 'apparently', 'smooth', 'surfaces']] | [-0.16837863285433163, 0.1809881244931225, -0.16046399843286385, 0.032923511958185145, -0.12100339857498546, -0.22148444331795364, -0.046500424739553944, 0.4149409950069793, -0.2853118557144295, -0.24777620239788062, 0.09063376803646565, -0.27059421572205306, -0.2426803162285163, 0.22444816647012802, -0.1813157092683114, 0.04865035535646724, 0.0342634225554474, -0.07097100501565577, 0.030199950406714887, -0.2302138602736031, 0.2805463239647351, 0.021598054265434093, 0.24594884806058623, 0.15756827159240455, 0.02365165681566124, 0.021866784418945188, 0.02678690315526608, 0.07319453882367967, -0.20532310725731756, 0.06896728606193096, 0.2455878233561268, -0.13503379822865902, 0.2015663202029544, -0.5024552645718122, -0.26348435817673416, 0.05928907311194903, 0.016594943384845535, 0.08897029292050072, -0.012472029964367, -0.21284281809711467, 0.046683223482656785, -0.09819185217334465, -0.14045415965041944, -0.0433071772713447, 0.07511165804628815, 0.01222668031484566, -0.10435614530480915, 0.0882668819084957, 0.08525161892961856, 0.008608525262105388, -0.11547395082601866, -0.06622120950903211, -0.075277560511483, 0.08988456798161006, 0.1470986459126043, -0.0005996361036192287, 0.2611588857185047, -0.15352704246564733, 0.02210134058561805, 0.43492847981003974, -0.02304435720933335, -0.1927306279419111, 0.31663813143242875, -0.14210565514596446, -0.01381678715372434, 0.23595722878424377, 0.1542804531825634, 0.08152828881420292, -0.09258476661687548, 0.01484310811055921, 0.01999132317648112, 0.16547843309530577, 0.15822225798816456, -0.07043266874532421, 0.2153346227457771, 0.1902343996788387, 0.02677334871675287, 0.17464704750266, -0.14383786900706783, -0.04047525417688605, -0.32021500614120973, -0.16625333347587617, -0.17013569911579032, 0.06615467292147797, -0.08622209759192487, -0.26114071983021575, 0.27503926460570716, 0.05719503574375692, 0.17507124296691898, 0.07025734671276643, 0.25948150049556384, -0.0034887948165671875, 0.07456943452624339, 0.003126770149093944, 0.30525066814832874, 0.08108550025597698, 0.0714939634630142, -0.18697354470246605, 0.10518888117406856, 0.04204387510159089] |
710.3552 | Testing Born-Infeld electrodynamics in waveguides | Waveguides can be employed to test non-linear effects in electrodynamics. We
solve Born-Infeld equations for TE waves in a rectangular waveguide. We show
that the energy velocity acquires a dependence on the amplitude, and harmonic
components appear as a consequence of the non-linear behavior.
| hep-th physics.optics | waveguides can be employed to test nonlinear effects in electrodynamics we solve borninfeld equations for te waves in a rectangular waveguide we show that the energy velocity acquires a dependence on the amplitude and harmonic components appear as a consequence of the nonlinear behavior | [['waveguides', 'can', 'be', 'employed', 'to', 'test', 'nonlinear', 'effects', 'in', 'electrodynamics', 'we', 'solve', 'borninfeld', 'equations', 'for', 'te', 'waves', 'in', 'a', 'rectangular', 'waveguide', 'we', 'show', 'that', 'the', 'energy', 'velocity', 'acquires', 'a', 'dependence', 'on', 'the', 'amplitude', 'and', 'harmonic', 'components', 'appear', 'as', 'a', 'consequence', 'of', 'the', 'nonlinear', 'behavior']] | [-0.1712253093296154, 0.13266857086934827, -0.08604373841080815, 0.058579487461512064, -0.11417817493202165, -0.12225780867844481, -0.05800082688008181, 0.37273536647923966, -0.22847889990820971, -0.23542406236414204, 0.020710576584943654, -0.3191034040329131, -0.20084039073183454, 0.23092290458523415, 0.024436877384273845, 0.07900288943412968, -0.009704707756596194, -0.006551122382833538, -0.053806861433920196, -0.14657654803754253, 0.2822068517773666, -0.010603739514904604, 0.27993444103578274, 0.05634434931826862, 0.11920895647596229, -0.01745448522375558, 0.07769783319566738, 0.08431054004044695, -0.09305219286182943, 0.008854856587607752, 0.23909816615791482, -0.011494640059853818, 0.24232016464653003, -0.4599266584793275, -0.24923581145280463, 0.03070958523841744, 0.1694854843980548, 0.160187152299014, -0.05145062772631222, -0.2451376780782911, -0.009949564362283458, -0.1271573326296427, -0.19028735596591353, -0.05448247335681861, 0.010774573099545458, 0.027898994015148757, -0.30662895446981897, 0.10665020405907523, 0.06517498321111569, -0.015011010437526486, -0.060827865498140454, -0.03823443736076693, -0.026960785712369463, 0.011704484053718095, 0.020422679409173063, -0.05978096995650875, 0.11766447658142583, -0.13506640650501306, -0.09558942854743112, 0.42335121134634723, -0.16995539964938705, -0.28881018613041803, 0.09538463486189191, -0.14572526616129008, -0.03139687479547733, 0.0982321893283039, 0.28499377628957684, 0.08990393278443, -0.0755543914750557, 0.09460708346424243, -0.005387690045278181, 0.23290072627026925, 0.14114842637950045, 0.05296006356365979, 0.21783805740150539, 0.1228244579397142, 0.02211672164594347, 0.18296761717382734, -0.06621936037183994, -0.03410466739230535, -0.329710762609135, -0.14832238555391086, -0.12319081578276712, 0.04662549546496435, -0.0816766829120752, -0.21439614985138178, 0.4186776959845288, 0.12349078947127881, 0.14307010791857133, -0.0008749842897734859, 0.2597616154869849, 0.24049676124757918, 0.08441312950427263, 0.07016611306674102, 0.3239730663851581, 0.197526114823466, 0.1351148804162883, -0.2848261599005623, -0.058252924546567636, 0.03925213975493203] |
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