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710.5853 | Geometric approach towards stable homotopy groups of spheres. Kervaire
Invariant | It is proved that there exists an integer $L$ such that a framed manifold of
dimension $2^l-2$, $l\le L$ has the trivial Kervaire Invariant.
| math.GT math.AT | it is proved that there exists an integer l such that a framed manifold of dimension 2l2 lle l has the trivial kervaire invariant | [['it', 'is', 'proved', 'that', 'there', 'exists', 'an', 'integer', 'l', 'such', 'that', 'a', 'framed', 'manifold', 'of', 'dimension', '2l2', 'lle', 'l', 'has', 'the', 'trivial', 'kervaire', 'invariant']] | [-0.3075207026364903, 0.117842806450426, -0.12037629059826334, 0.08181973040821806, -0.08168729237513617, -0.31129051820607856, -0.10348809137940407, 0.35393902209276956, -0.31271564898391563, -0.17027560458518565, 0.06965470444022988, -0.26963535727312166, -0.2290886661503464, 0.12904747400898486, -0.09346759678252663, 0.03929805515023569, 0.02208859778086965, 0.14986769804575792, -0.05992367500827337, -0.25213939091190696, 0.37343620229512453, -0.07755466791180272, 0.14622774510644376, 0.029649038003602374, 0.19541854535539946, -0.006070463297267755, 0.05063641212958222, 0.03878336981870234, -0.2242068755276705, -0.008461356279440224, 0.34100155625492334, 0.08692795563062343, 0.2188697832170874, -0.23178328519376615, -0.16483430451868722, 0.23822723010865351, 0.18021151260472834, -0.07879908790346235, -0.018145149340853095, -0.20888820212955275, 0.20004970233033723, -0.07500460899124543, -0.14185910881496966, -0.11040105325325082, 0.2616604386518399, -0.19562363383981088, -0.22657300694845617, -0.07761131684916715, 0.21642485385139784, 0.1191420341686656, 0.028849277102078002, -0.16564576669285694, -0.13482211468120417, 0.0619429898749028, 0.047620316181564704, 0.2011106208859322, 0.023359509380801075, -0.009880625177174807, -0.14587478968314826, 0.30643101189828786, -0.04121904135293638, -0.30271022976376116, 0.1763118396823605, -0.04587651800829917, -0.18523122323676944, 0.18491509215285382, -0.03179328100911031, 0.11229152659264703, 0.0642596938026448, 0.30904884966245544, -0.24527782287138203, 0.2072855606675148, 0.10259299022921671, -0.018043264140336152, 0.0637865848839283, 0.11904669307599154, 0.23233089964681616, 0.06410970950188737, -0.005948603696500261, 0.012133256066590548, -0.3019445799291134, -0.22171800366292396, -0.24741272304284698, 0.26713610770336044, -0.07912728485340874, -0.1849399876470367, 0.25846431621660787, -0.024248455796623603, 0.1941384501211966, 0.07295931673919161, 0.20375207607382131, 0.1387998383337011, 0.08317281259223819, 0.18628899665782228, 0.12671779142692685, 0.12815419964802763, -0.005439629952888936, -0.14692716962114596, -0.0701575981802307, 0.18746087506103018] |
710.5854 | Lingering random walks in random environment on a strip | We consider a recurrent random walk (RW) in random environment (RE) on a
strip. We prove that if the RE is i. i. d. and its distribution is not
supported by an algebraic subsurface in the space of parameters defining the RE
then the RW exhibits the "(log t)-squared" asymptotic behaviour. The
exceptional algebraic subsurface is described by an explicit system of
algebraic equations.
One-dimensional walks with bounded jumps in a RE are treated as a particular
case of the strip model. If the one dimensional RE is i. i. d., then our
approach leads to a complete and constructive classification of possible types
of asymptotic behaviour of recurrent random walks. Namely, the RW exhibits the
$(\log t)^{2}$ asymptotic behaviour if the distribution of the RE is not
supported by a hyperplane in the space of parameters which shall be explicitly
described. And if the support of the RE belongs to this hyperplane then the
corresponding RW is a martingale and its asymptotic behaviour is governed by
the Central Limit Theorem.
| math.PR | we consider a recurrent random walk rw in random environment re on a strip we prove that if the re is i i d and its distribution is not supported by an algebraic subsurface in the space of parameters defining the re then the rw exhibits the log tsquared asymptotic behaviour the exceptional algebraic subsurface is described by an explicit system of algebraic equations onedimensional walks with bounded jumps in a re are treated as a particular case of the strip model if the one dimensional re is i i d then our approach leads to a complete and constructive classification of possible types of asymptotic behaviour of recurrent random walks namely the rw exhibits the log t2 asymptotic behaviour if the distribution of the re is not supported by a hyperplane in the space of parameters which shall be explicitly described and if the support of the re belongs to this hyperplane then the corresponding rw is a martingale and its asymptotic behaviour is governed by the central limit theorem | [['we', 'consider', 'a', 'recurrent', 'random', 'walk', 'rw', 'in', 'random', 'environment', 're', 'on', 'a', 'strip', 'we', 'prove', 'that', 'if', 'the', 're', 'is', 'i', 'i', 'd', 'and', 'its', 'distribution', 'is', 'not', 'supported', 'by', 'an', 'algebraic', 'subsurface', 'in', 'the', 'space', 'of', 'parameters', 'defining', 'the', 're', 'then', 'the', 'rw', 'exhibits', 'the', 'log', 'tsquared', 'asymptotic', 'behaviour', 'the', 'exceptional', 'algebraic', 'subsurface', 'is', 'described', 'by', 'an', 'explicit', 'system', 'of', 'algebraic', 'equations', 'onedimensional', 'walks', 'with', 'bounded', 'jumps', 'in', 'a', 're', 'are', 'treated', 'as', 'a', 'particular', 'case', 'of', 'the', 'strip', 'model', 'if', 'the', 'one', 'dimensional', 're', 'is', 'i', 'i', 'd', 'then', 'our', 'approach', 'leads', 'to', 'a', 'complete', 'and', 'constructive', 'classification', 'of', 'possible', 'types', 'of', 'asymptotic', 'behaviour', 'of', 'recurrent', 'random', 'walks', 'namely', 'the', 'rw', 'exhibits', 'the', 'log', 't2', 'asymptotic', 'behaviour', 'if', 'the', 'distribution', 'of', 'the', 're', 'is', 'not', 'supported', 'by', 'a', 'hyperplane', 'in', 'the', 'space', 'of', 'parameters', 'which', 'shall', 'be', 'explicitly', 'described', 'and', 'if', 'the', 'support', 'of', 'the', 're', 'belongs', 'to', 'this', 'hyperplane', 'then', 'the', 'corresponding', 'rw', 'is', 'a', 'martingale', 'and', 'its', 'asymptotic', 'behaviour', 'is', 'governed', 'by', 'the', 'central', 'limit', 'theorem']] | [-0.14060369230893968, 0.10927252123239233, -0.09877810295812829, 0.038316525941665625, -0.053167099898343374, -0.16570529795104735, 0.05496414946133478, 0.3313262233978998, -0.28028555679521716, -0.17206355848768998, 0.13896309996394124, -0.27961074919521545, -0.1572308627539995, 0.15491724156839937, -0.07452008687776693, 0.00809259714534212, -0.003477132103095452, 0.0757478571793729, -0.04896053019808932, -0.2488304214750836, 0.32807184743003276, -0.012452457868085619, 0.22330596758194313, -0.012680925058516843, 0.08969266999414877, 0.006746588693523224, -0.0052616233414594545, 0.039464546032236314, -0.14758992947425117, 0.06067102757889821, 0.1970643454955684, 0.09932120995220255, 0.24628623702416294, -0.35909512606367733, -0.16272729411939083, 0.10145139250337903, 0.1789993310091222, 0.0331811165588238, 0.01416350200252161, -0.2605042368083735, 0.11626262067577513, -0.12369364942287842, -0.19124045502666753, -0.013703017405708107, 0.08217012079443499, 0.0654543494664089, -0.28845711525703904, 0.03411436148194803, 0.1520992490729829, 0.09107906217836606, -0.010291021255291563, -0.06480748377119501, -0.04567245280026997, 0.08791423190455906, 0.04994893347032978, 0.02373982251115274, 0.08323760792798204, -0.09403299784196073, -0.0700038222528651, 0.37288851354118674, -0.06334779569361773, -0.23024168098617714, 0.17453187538790163, -0.16129100934993093, -0.12265301025499813, 0.10229569375079278, 0.12910737272907505, 0.13697190313975802, -0.10869657243901526, 0.1753964468834912, -0.08043691514016331, 0.12400591442458828, 0.02837594133959702, -0.019095666857697723, 0.14290955395040195, 0.1775522341513298, 0.03861643007972784, 0.13701472083877292, -0.07918565942666204, -0.09435432875421366, -0.32988718693139174, -0.17539881954339948, -0.21527917398009122, 0.10333222740929579, -0.1508075873124446, -0.20536569791862316, 0.3959818967939382, 0.11024744902725185, 0.23276694602610773, 0.06288429237806854, 0.20243485696199867, 0.17979723433637174, -0.03358017275251492, 0.11928953371168664, 0.17178084926777765, 0.13248405779292535, 0.0744642519585418, -0.19007256808990275, 0.0898391666321073, 0.12972147343705792] |
710.5855 | Role of t-channel meson exchange in S-wave pi N and K N scattering | The low-energy S-wave pi N and K N scatterings are studied by the K-matrix
approach within the meson exchange framework. The t-channel meson exchanges,
especially rho and sigma exchanges, are found to play a very important role in
these two processes. The t-channel rho exchange determines the isospin
structure of the scattering amplitudes, it gives attractive force in the low
isospin state but repulsive force in the high isospin state. The t-channel
sigma exchange gives a very large contribution in these two processes, while it
is negligible in meson-meson S-wave scatterings.
| hep-ph | the lowenergy swave pi n and k n scatterings are studied by the kmatrix approach within the meson exchange framework the tchannel meson exchanges especially rho and sigma exchanges are found to play a very important role in these two processes the tchannel rho exchange determines the isospin structure of the scattering amplitudes it gives attractive force in the low isospin state but repulsive force in the high isospin state the tchannel sigma exchange gives a very large contribution in these two processes while it is negligible in mesonmeson swave scatterings | [['the', 'lowenergy', 'swave', 'pi', 'n', 'and', 'k', 'n', 'scatterings', 'are', 'studied', 'by', 'the', 'kmatrix', 'approach', 'within', 'the', 'meson', 'exchange', 'framework', 'the', 'tchannel', 'meson', 'exchanges', 'especially', 'rho', 'and', 'sigma', 'exchanges', 'are', 'found', 'to', 'play', 'a', 'very', 'important', 'role', 'in', 'these', 'two', 'processes', 'the', 'tchannel', 'rho', 'exchange', 'determines', 'the', 'isospin', 'structure', 'of', 'the', 'scattering', 'amplitudes', 'it', 'gives', 'attractive', 'force', 'in', 'the', 'low', 'isospin', 'state', 'but', 'repulsive', 'force', 'in', 'the', 'high', 'isospin', 'state', 'the', 'tchannel', 'sigma', 'exchange', 'gives', 'a', 'very', 'large', 'contribution', 'in', 'these', 'two', 'processes', 'while', 'it', 'is', 'negligible', 'in', 'mesonmeson', 'swave', 'scatterings']] | [-0.23171770825194052, 0.2964989501000433, -0.11956816919884838, 0.17195766374269233, -0.03199489489914133, -0.1944005079260403, 0.07491725935999836, 0.3157065834563512, -0.2339593072391146, -0.2288503576029133, -0.1204051664009547, -0.37687559378752994, -0.06503896258968431, 0.03729009295680693, 0.1766092382284434, 0.010044275046131769, 0.040045001047694095, 0.06529757286841562, 0.041990875031103145, -0.19652408742918992, 0.3273523063961785, -0.025756054255947635, 0.2118719186490545, 0.2041376948991156, 0.0025140491242592153, 0.11383013444144156, -0.026547095190815547, -0.11981593494579851, -0.05857524752187041, 0.04191581936614527, 0.3225828767626209, -0.05975839897867415, 0.09183977075831985, -0.39191077936154145, -0.13585249179012174, 0.08103877015841696, 0.19439320898727402, 0.12314387643453921, -0.009501478870163907, -0.25969309145891734, 0.01917228184558533, -0.20152887620113707, -0.11688630673349937, -0.12888013904115983, 0.06456533044187741, -0.09433533658675215, -0.305401122492385, 0.10594385732118818, 0.006360814000919953, 0.012098269803183419, -0.03749575281444077, -0.2666180783852034, -0.0307113814710097, 0.056286113730703406, 0.11013490128187606, 0.10714520069586297, 0.1481890292162751, -0.2058083568341457, -0.057558100240734905, 0.4006127884360747, -0.06043186033103656, -0.20356386998197534, 0.13993147141965373, -0.12515452522068068, -0.11405750639368217, 0.19548317323346714, 0.14385938613706237, 0.04446644344172635, -0.2063705193417423, 0.1811551404518848, 0.015564611611457972, 0.1434338671912613, 0.07594726738458561, 0.0738033601952778, 0.16051496436389592, 0.15300651240561688, -0.036471260977642875, 0.05480347482671777, -0.09694055009858457, -0.18328099784819962, -0.37053385698287694, -0.0667678610738981, -0.093342374652051, 0.06796439507864876, -0.09886322354169941, -0.08462078312596122, 0.25086217059416105, 0.03885199220922704, 0.2556485546507187, -0.048440171784342644, 0.30688209962713847, 0.10639605441854776, 0.0815424391651874, 0.06422456713023296, 0.283272385269731, 0.2448934296601462, 0.10483616031962191, -0.32582507678051736, 0.059980517478434595, 0.014720700711912506] |
710.5856 | On reality property of Wronski maps | We prove that if all roots of the discrete Wronskian with step 1 of a set of
quasi-exponentials with real bases are real, simple and differ by at least 1,
then the complex span of this set of quasi-exponentials has a basis consisting
of quasi-exponentials with real coefficients. This result generalizes the B.
and M.Shapiro conjecture about spaces of polynomials.
The proof is based on the Bethe ansatz method for the XXX model.
| math.QA math.AG | we prove that if all roots of the discrete wronskian with step 1 of a set of quasiexponentials with real bases are real simple and differ by at least 1 then the complex span of this set of quasiexponentials has a basis consisting of quasiexponentials with real coefficients this result generalizes the b and mshapiro conjecture about spaces of polynomials the proof is based on the bethe ansatz method for the xxx model | [['we', 'prove', 'that', 'if', 'all', 'roots', 'of', 'the', 'discrete', 'wronskian', 'with', 'step', '1', 'of', 'a', 'set', 'of', 'quasiexponentials', 'with', 'real', 'bases', 'are', 'real', 'simple', 'and', 'differ', 'by', 'at', 'least', '1', 'then', 'the', 'complex', 'span', 'of', 'this', 'set', 'of', 'quasiexponentials', 'has', 'a', 'basis', 'consisting', 'of', 'quasiexponentials', 'with', 'real', 'coefficients', 'this', 'result', 'generalizes', 'the', 'b', 'and', 'mshapiro', 'conjecture', 'about', 'spaces', 'of', 'polynomials', 'the', 'proof', 'is', 'based', 'on', 'the', 'bethe', 'ansatz', 'method', 'for', 'the', 'xxx', 'model']] | [-0.11927911546081305, 0.05752022237154759, -0.06310281346991865, -0.02901624806852649, -0.06118686955111722, -0.12233127515193903, -0.003789179932533039, 0.31165635974482736, -0.2517805829524554, -0.22877931562511045, 0.1064277173524412, -0.2772521493829522, -0.16015361653990112, 0.21637466640741979, 0.00720547535456717, 0.01746596397909646, 0.07543231824982083, 0.07599123898479673, -0.08487834615516476, -0.3102094832704299, 0.39075887059637654, -0.06973221856686804, 0.18960057627150995, 0.01584573405691319, 0.1617036747177028, 0.02672279040739846, -0.013093305492980612, -0.04290831759054628, -0.08889407654563304, 0.16328480700677675, 0.2121282473542831, 0.16417979565772434, 0.24316420493414626, -0.3618829159079016, -0.12432602833400273, 0.16502630583191705, 0.1314310506050889, 0.055735022954953216, 0.05121650236509999, -0.24742314449718428, 0.14211397188612157, -0.14840494248912567, -0.17174025201368043, -0.07283170767024988, 0.04615564809905158, 0.05607183396609293, -0.3095383463918956, 0.05032774432200111, 0.059137919891832605, 0.13684458347658315, -0.07111539271823454, -0.1800984761535397, -0.014300360344350338, 0.07351326968960671, -0.001947804423657039, 0.029531651868132433, 0.012907250009852255, -0.03551678684177912, -0.14435683773545963, 0.3701790845952928, -0.011204830202687945, -0.24179390967927045, 0.1523224706923227, -0.18137481132806796, -0.15389368502655998, 0.10440851504810983, 0.09903778602731311, 0.11970172587057783, -0.07740682135853502, 0.1643207648998618, -0.16350479925879174, 0.12459428449316572, 0.10647333915888642, -0.0427883447911073, 0.12091310643720338, 0.11605974700069055, 0.043546346029163234, 0.1140676367471719, 0.012933160962549865, -0.06913777755350263, -0.33733132569533253, -0.18045662829859388, -0.24367354540057326, 0.09009258261519587, -0.14375576418913422, -0.2059555897075269, 0.4162360529104869, 0.10668328823521733, 0.2224866357476761, 0.1320918140700087, 0.2142720252999829, 0.1232261325126779, 0.02553385048344757, 0.06346755473537592, 0.12198289948153412, 0.15120439425744633, 0.00722010145869313, -0.13290008453380628, 0.013205393249841614, 0.15844808048051265] |
710.5857 | Baryogenesis -- 40 Years Later | The classical picture of GUT baryogenesis has been strongly modified by
theoretical progress concerning two nonperturbative features of the standard
model: the phase diagram of the electroweak theory, and baryon and lepton
number changing sphaleron processes in the high-temperature symmetric phase of
the standard model. We briefly review three viable models, electroweak
baryogenesis, the Affleck-Dine mechanism and leptogenesis and discuss the
prospects to falsify them. All models are closely tied to the nature of dark
matter, especially in supersymmetric theories. In the near future results from
LHC and gamma-ray astronomy will shed new light on the origin of the
matter-antimatter asymmetry of the universe.
| hep-ph astro-ph hep-th | the classical picture of gut baryogenesis has been strongly modified by theoretical progress concerning two nonperturbative features of the standard model the phase diagram of the electroweak theory and baryon and lepton number changing sphaleron processes in the hightemperature symmetric phase of the standard model we briefly review three viable models electroweak baryogenesis the affleckdine mechanism and leptogenesis and discuss the prospects to falsify them all models are closely tied to the nature of dark matter especially in supersymmetric theories in the near future results from lhc and gammaray astronomy will shed new light on the origin of the matterantimatter asymmetry of the universe | [['the', 'classical', 'picture', 'of', 'gut', 'baryogenesis', 'has', 'been', 'strongly', 'modified', 'by', 'theoretical', 'progress', 'concerning', 'two', 'nonperturbative', 'features', 'of', 'the', 'standard', 'model', 'the', 'phase', 'diagram', 'of', 'the', 'electroweak', 'theory', 'and', 'baryon', 'and', 'lepton', 'number', 'changing', 'sphaleron', 'processes', 'in', 'the', 'hightemperature', 'symmetric', 'phase', 'of', 'the', 'standard', 'model', 'we', 'briefly', 'review', 'three', 'viable', 'models', 'electroweak', 'baryogenesis', 'the', 'affleckdine', 'mechanism', 'and', 'leptogenesis', 'and', 'discuss', 'the', 'prospects', 'to', 'falsify', 'them', 'all', 'models', 'are', 'closely', 'tied', 'to', 'the', 'nature', 'of', 'dark', 'matter', 'especially', 'in', 'supersymmetric', 'theories', 'in', 'the', 'near', 'future', 'results', 'from', 'lhc', 'and', 'gammaray', 'astronomy', 'will', 'shed', 'new', 'light', 'on', 'the', 'origin', 'of', 'the', 'matterantimatter', 'asymmetry', 'of', 'the', 'universe']] | [-0.09136508839191475, 0.25545161089841995, -0.08414692891179024, 0.1851984747739222, -0.12905295094466196, -0.15536781426859447, 0.030194985200068913, 0.29527092076246986, -0.23567728694671622, -0.28759901644550084, 0.06263258922039174, -0.25862123269157916, -0.0855697194705359, 0.14198684091948402, 0.035627952667150214, 0.0635738761540359, -0.02461769764060871, -0.04316874137685563, -0.04380410438618408, -0.2840798781790699, 0.2929071263777307, 0.06689524971387492, 0.25575873307668817, 0.10627121495893405, 0.007911462088276703, -0.08260976709761263, -0.07356661803518924, -0.09546211899970121, -0.14192147661294888, 0.08034429270236824, 0.166447800694746, 0.15436534016939382, 0.11533085317933, -0.4432998535294945, -0.2450153037923603, 0.19898934977558944, 0.1381221298730592, 0.13877962089967555, -0.11337061596210472, -0.32651164314637965, 0.05724157509561897, -0.18643260694807395, -0.15615352963644769, -0.06601558390180938, -0.06325452005974232, -0.07204242921076141, -0.22630197662287033, 0.09195526584293336, -0.04124488431933479, -0.04645356312931444, -0.031256670140115045, -0.11704420035619897, -0.03413499227295128, -0.01689189500981369, 0.15739483079512587, 0.005371804246141647, 0.13675974850775674, -0.25086614378065303, -0.192093410797847, 0.45389499963046265, -0.056878943159692705, -0.052574304883959345, 0.15812542372329447, -0.19196236862066704, -0.1804549496871634, 0.06184122841267918, 0.1374942812097008, 0.08178514663953908, -0.15106745359774393, 0.18097168439495503, -0.001626965522658653, 0.0999574975968034, 0.007013367764347305, 0.059167822531890124, 0.37476716957574424, 0.22619246651167765, -0.02267635388013262, 0.04289772086821568, -0.029682960733155666, -0.1508520278193128, -0.4386570329527156, -0.09708179651687925, -0.07654418756115214, 0.00042768914583855524, -0.08870841736853226, -0.09377653467862938, 0.44617382927278343, 0.19138655323667292, 0.215301205833944, -0.03171401571867486, 0.29779344317145073, 0.028045317875624347, 0.01014573398592452, -0.027392876728509482, 0.3258598461621799, 0.16156737057966752, 0.14702316301498705, -0.27096865980554585, 0.018838753901386205, 0.09800602113738513] |
710.5858 | The geometric phases in a background with Lorentz-symmetry violation | We analyze the nonrelativistic quantum dynamics of a single neutral spin half
particle, with non-zero magnetic and electric dipole moments, moving in an
external electromagnetic field in presence of Lorentz symmetry violation
background. Also, we study the geometric phase for this model taking into
account the parameter that breaks the Lorentz symmetry. We investigate the
He-McKellar-Wilkens effect in this context and we verify that Lorentz violation
parameter contribute to increase the electric dipole moment of the particle.
| hep-th quant-ph | we analyze the nonrelativistic quantum dynamics of a single neutral spin half particle with nonzero magnetic and electric dipole moments moving in an external electromagnetic field in presence of lorentz symmetry violation background also we study the geometric phase for this model taking into account the parameter that breaks the lorentz symmetry we investigate the hemckellarwilkens effect in this context and we verify that lorentz violation parameter contribute to increase the electric dipole moment of the particle | [['we', 'analyze', 'the', 'nonrelativistic', 'quantum', 'dynamics', 'of', 'a', 'single', 'neutral', 'spin', 'half', 'particle', 'with', 'nonzero', 'magnetic', 'and', 'electric', 'dipole', 'moments', 'moving', 'in', 'an', 'external', 'electromagnetic', 'field', 'in', 'presence', 'of', 'lorentz', 'symmetry', 'violation', 'background', 'also', 'we', 'study', 'the', 'geometric', 'phase', 'for', 'this', 'model', 'taking', 'into', 'account', 'the', 'parameter', 'that', 'breaks', 'the', 'lorentz', 'symmetry', 'we', 'investigate', 'the', 'hemckellarwilkens', 'effect', 'in', 'this', 'context', 'and', 'we', 'verify', 'that', 'lorentz', 'violation', 'parameter', 'contribute', 'to', 'increase', 'the', 'electric', 'dipole', 'moment', 'of', 'the', 'particle']] | [-0.18046365723667013, 0.24365317039724663, -0.023730189273399965, 0.07035715761594474, -0.0855014497873845, -0.06590266586825638, 0.018005163870319457, 0.34208525402785894, -0.2133157784421626, -0.31001991280294083, -0.021413591389495928, -0.2376081305132671, -0.08433126464679644, 0.07934013276373024, 0.04825129090239862, -0.017465994602625632, -0.0756575715903483, 0.035512368013332414, -0.09098208567442058, -0.150445193037173, 0.28558435369670004, 0.05645281365957692, 0.31555745397488794, 0.07593684123568963, 0.09038674826552341, 0.04852876492304268, 0.030917749062857845, 0.06679637434396457, -0.09259350188533842, 0.03982306494341268, 0.07783236211867302, 0.011224729126899854, 0.16326698138342274, -0.4970840636592407, -0.1691707515629468, 0.1484565676443956, 0.0973497617433404, 0.17495892702468804, -0.11843403439224975, -0.34897142447918267, -0.0010041269283233719, -0.17515296726669002, -0.20280928588048977, -0.11977103940066096, 0.009586740522524463, -0.04560912512061367, -0.2811864376455158, 0.10982319852601821, 0.0878229004318838, 0.06389909639029293, -0.09432981315056806, -0.047236366838507064, 0.03069418980800486, 0.07079923012015688, 0.15839722257730393, 0.02983440575643455, 0.18396055204310008, -0.17236334331675324, -0.11013725665458418, 0.42529322100537165, -0.08445877291552432, -0.21781922963919578, 0.06516888363335233, -0.2538945358004663, -0.16170874421859716, 0.12724610150779608, 0.21035966586757016, 0.06571994495711156, -0.13690827063635572, 0.13448518634223464, -0.017428047277710655, 0.1354776487334982, 0.03476825857220532, 0.04210757298467608, 0.25680690996542377, 0.09447389141983026, 0.04414258684430804, 0.17400866114328822, -0.14507659357766828, -0.11477853031829, -0.3824227758526028, -0.19338638246265033, -0.14558701516528214, 0.08564449273436875, -0.09347028082766565, -0.11393950640090875, 0.4099969589272393, 0.18341395544347824, 0.140829134998577, -0.06439663953292969, 0.3017295177832439, 0.1538646249221517, 0.05198331637453143, 0.03634310276368512, 0.33932155504363115, 0.16971177545636168, 0.08612605942376926, -0.3469678224971542, -0.029028112824715964, 0.06356220741986067] |
710.5859 | Non-commutative geometry and exactly solvable systems | I present the exact energy eigenstates and eigenvalues of a quantum many-body
system of bosons on non-commutative space and in a harmonic oszillator
confining potential at the selfdual point. I also argue that this exactly
solvable system is a prototype model which provides a generalization of mean
field theory taking into account non-trivial correlations which are peculiar to
boson systems in two space dimensions and relevant in condensed matter physics.
The prologue and epilogue contain a few remarks to relate my main story to
recent developments in non-commutative quantum field theory and an addendum to
our previous work together with Szabo and Zarembo on this latter subject.
| math-ph math.MP | i present the exact energy eigenstates and eigenvalues of a quantum manybody system of bosons on noncommutative space and in a harmonic oszillator confining potential at the selfdual point i also argue that this exactly solvable system is a prototype model which provides a generalization of mean field theory taking into account nontrivial correlations which are peculiar to boson systems in two space dimensions and relevant in condensed matter physics the prologue and epilogue contain a few remarks to relate my main story to recent developments in noncommutative quantum field theory and an addendum to our previous work together with szabo and zarembo on this latter subject | [['i', 'present', 'the', 'exact', 'energy', 'eigenstates', 'and', 'eigenvalues', 'of', 'a', 'quantum', 'manybody', 'system', 'of', 'bosons', 'on', 'noncommutative', 'space', 'and', 'in', 'a', 'harmonic', 'oszillator', 'confining', 'potential', 'at', 'the', 'selfdual', 'point', 'i', 'also', 'argue', 'that', 'this', 'exactly', 'solvable', 'system', 'is', 'a', 'prototype', 'model', 'which', 'provides', 'a', 'generalization', 'of', 'mean', 'field', 'theory', 'taking', 'into', 'account', 'nontrivial', 'correlations', 'which', 'are', 'peculiar', 'to', 'boson', 'systems', 'in', 'two', 'space', 'dimensions', 'and', 'relevant', 'in', 'condensed', 'matter', 'physics', 'the', 'prologue', 'and', 'epilogue', 'contain', 'a', 'few', 'remarks', 'to', 'relate', 'my', 'main', 'story', 'to', 'recent', 'developments', 'in', 'noncommutative', 'quantum', 'field', 'theory', 'and', 'an', 'addendum', 'to', 'our', 'previous', 'work', 'together', 'with', 'szabo', 'and', 'zarembo', 'on', 'this', 'latter', 'subject']] | [-0.1149186350440032, 0.1382315003882417, -0.10840495787212782, 0.07911688780355502, -0.05782852954205091, -0.17812334641239772, -0.0029855047866145026, 0.30599714472681006, -0.21202143049085181, -0.2706652015238722, 0.04179318752749083, -0.29408287367496255, -0.15917556092282323, 0.16302558355290164, -0.06151784327159697, 0.014640074871724175, 0.049183423213103664, 0.052832485476909115, -0.06811629168724066, -0.2956056390828061, 0.3273600650272358, 0.03764207424622064, 0.1936411229245121, 0.09682892497398272, 0.08856858517735257, 0.027883105067031407, -0.010458466558821638, 0.00239024319953642, -0.15167361965967902, 0.1230368902297499, 0.22598531275169453, 0.04504574441718738, 0.23819698792420954, -0.3986315511354184, -0.2109584559677778, 0.06679233908218062, 0.1409456301437012, 0.1362821314849447, -0.05251223948201008, -0.3355825639669305, 0.0041685911291496494, -0.1861616645408707, -0.12561117671865307, -0.08809054613539896, 0.05129207791891123, -0.03628510979186987, -0.19646787604264845, 0.04429051054888579, 0.07871537511976802, 0.05452346614102706, -0.04928496345512082, -0.1118282758495901, 0.04405935622412259, 0.056517026217428046, 0.04174058644697244, 0.07536822620552973, 0.07655589818458343, -0.1341607395785852, -0.1263712219432623, 0.37585605894189295, -0.03058407832781358, -0.1837942597334421, 0.1705200097427886, -0.14044530559592297, -0.19296248817259323, 0.08789024368868531, 0.16039934454085392, 0.06192240901465449, -0.12572319957070818, 0.16847793408995929, -0.051645117372309216, 0.1401254224917899, 0.004817226375061497, 0.057242235638827924, 0.2740212640089688, 0.10619976005960848, 0.016297656094011303, 0.11181303084975927, 0.011150868942473675, -0.19089979976067475, -0.3719785503224931, -0.17491631453016895, -0.16597058174470178, 0.0913675101560967, -0.02638618375074606, -0.16451655920142325, 0.4217004395377274, 0.16360988964927253, 0.17286055892810365, 0.003911011338791, 0.24374279217951209, 0.09942107196031226, 0.02471882775948148, 0.03602273575526392, 0.22196555377863278, 0.1812310755453029, 0.10042798244089723, -0.17112887584251812, -0.10171219318665599, 0.11536009938926131] |
710.586 | Frobenius Manifolds as a Special Class of Submanifolds in
Pseudo-Euclidean Spaces | We introduce a class of potential submanifolds in pseudo-Euclidean spaces
(each N-dimensional potential submanifold is a special flat torsionless
submanifold in a 2N-dimensional pseudo-Euclidean space) and prove that each
N-dimensional Frobenius manifold can be locally represented as an N-dimensional
potential submanifold. We show that all potential submanifolds bear natural
special structures of Frobenius algebras on their tangent spaces. These special
Frobenius structures are generated by the corresponding flat first fundamental
form and the set of the second fundamental forms of the submanifolds (in fact,
the structural constants are given by the set of the Weingarten operators of
the submanifolds). We prove that the associativity equations of two-dimensional
topological quantum field theories are very natural reductions of the
fundamental nonlinear equations of the theory of submanifolds in
pseudo-Euclidean spaces and define locally the class of potential submanifolds.
The problem of explicit realization of an arbitrary concrete Frobenius manifold
as a potential submanifold in a pseudo-Euclidean space is reduced to solving a
linear system of second-order partial differential equations. For concrete
Frobenius manifolds, this realization problem can be solved explicitly in
elementary and special functions.
| math.DG hep-th math-ph math.AG math.AP math.MP math.SG nlin.SI | we introduce a class of potential submanifolds in pseudoeuclidean spaces each ndimensional potential submanifold is a special flat torsionless submanifold in a 2ndimensional pseudoeuclidean space and prove that each ndimensional frobenius manifold can be locally represented as an ndimensional potential submanifold we show that all potential submanifolds bear natural special structures of frobenius algebras on their tangent spaces these special frobenius structures are generated by the corresponding flat first fundamental form and the set of the second fundamental forms of the submanifolds in fact the structural constants are given by the set of the weingarten operators of the submanifolds we prove that the associativity equations of twodimensional topological quantum field theories are very natural reductions of the fundamental nonlinear equations of the theory of submanifolds in pseudoeuclidean spaces and define locally the class of potential submanifolds the problem of explicit realization of an arbitrary concrete frobenius manifold as a potential submanifold in a pseudoeuclidean space is reduced to solving a linear system of secondorder partial differential equations for concrete frobenius manifolds this realization problem can be solved explicitly in elementary and special functions | [['we', 'introduce', 'a', 'class', 'of', 'potential', 'submanifolds', 'in', 'pseudoeuclidean', 'spaces', 'each', 'ndimensional', 'potential', 'submanifold', 'is', 'a', 'special', 'flat', 'torsionless', 'submanifold', 'in', 'a', '2ndimensional', 'pseudoeuclidean', 'space', 'and', 'prove', 'that', 'each', 'ndimensional', 'frobenius', 'manifold', 'can', 'be', 'locally', 'represented', 'as', 'an', 'ndimensional', 'potential', 'submanifold', 'we', 'show', 'that', 'all', 'potential', 'submanifolds', 'bear', 'natural', 'special', 'structures', 'of', 'frobenius', 'algebras', 'on', 'their', 'tangent', 'spaces', 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710.5861 | Synergy of exchange bias with superconductivity in
ferromagnetic-superconducting layered hybrids: the influence of in-plane and
out-of-plane magnetic order on superconductivity | It is generally believed that superconductivity and magnetism are two
antagonistic long-range phenomena. However, as it was preliminarily highlighted
in D. Stamopoulos et al. [Phys. Rev. B 75, 014501 (2007)] and extensively
studied in this work under specific circumstances these phenomena instead of
being detrimental to each other may even become cooperative so that their
synergy may promote the superconducting properties of a hybrid structure.
Here, we have studied systematically the magnetic and transport behavior of
such exchange biased hybrids that are comprised of ferromagnetic (FM) Ni80Fe20
and low-Tc superconducting (SC) Nb for the case where the magnetic field is
applied parallel to the specimens. Two structures have been studied: FM-SC-FM
trilayers (TLs) and FM-SC bilayers (BLs). Detailed magnetization data on the
longitudinal and transverse magnetic components are presented for both the
normal and superconducting states. These data are compared to systematic
transport measurements including I-V characteristics. The comparison of the
exchange biased BLs and TLs that are studied here with the plain ones studied
in D. Stamopoulos et al. [Phys. Rev. B 75, 184504 (2007)] enable us to reveal
an underlying parameter that may falsify the interpretation of the transport
properties of relevant FM-SC-FM TLs and FM-SC BLs investigated in the recent
literature: the underlying mechanism motivating the extreme magnetoresistance
peaks in the TLs relates to the suppression of superconductivity mainly due to
the magnetic coupling of the two FM layers as the out-of-plane rotation of
their magnetizations takes place across the coercive field where stray fields
emerge in their whole surface owing to the multidomain magnetic state that they
acquire.
| cond-mat.supr-con cond-mat.mtrl-sci | it is generally believed that superconductivity and magnetism are two antagonistic longrange phenomena however as it was preliminarily highlighted in d stamopoulos et al phys rev b 75 014501 2007 and extensively studied in this work under specific circumstances these phenomena instead of being detrimental to each other may even become cooperative so that their synergy may promote the superconducting properties of a hybrid structure here we have studied systematically the magnetic and transport behavior of such exchange biased hybrids that are comprised of ferromagnetic fm ni80fe20 and lowtc superconducting sc nb for the case where the magnetic field is applied parallel to the specimens two structures have been studied fmscfm trilayers tls and fmsc bilayers bls detailed magnetization data on the longitudinal and transverse magnetic components are presented for both the normal and superconducting states these data are compared to systematic transport measurements including iv characteristics the comparison of the exchange biased bls and tls that are studied here with the plain ones studied in d stamopoulos et al phys rev b 75 184504 2007 enable us to reveal an underlying parameter that may falsify the interpretation of the transport properties of relevant fmscfm tls and fmsc bls investigated in the recent literature the underlying mechanism motivating the extreme magnetoresistance peaks in the tls relates to the suppression of superconductivity mainly due to the magnetic coupling of the two fm layers as the outofplane rotation of their magnetizations takes place across the coercive field where stray fields emerge in their whole surface owing to the multidomain magnetic state that they acquire | [['it', 'is', 'generally', 'believed', 'that', 'superconductivity', 'and', 'magnetism', 'are', 'two', 'antagonistic', 'longrange', 'phenomena', 'however', 'as', 'it', 'was', 'preliminarily', 'highlighted', 'in', 'd', 'stamopoulos', 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710.5862 | Anomalous effects due to the inertial anti-gravitational potential of
the sun | It is introduced inertial anti-gravitational potential into the theory of
gravity to stop gravitational collapse at the nuclear density and thus prevent
singularities. It is considered effective gravity which includes Newtonian
potential and inertial anti-gravitational potential. It is investigated
footprints of the effective gravity in the solar system. The inertial
anti-gravitational potential of the sun allows to explain the anomalous
acceleration of Pioneer 10 and 11, the anomalous increase in the lunar
semi-major axis, the residuals of the seasonal variation of the proper angular
velocity of the earth, the anomalous increase of the Astronomical Unit, the
anomalous shift of the perihelion of mercury.
| physics.gen-ph | it is introduced inertial antigravitational potential into the theory of gravity to stop gravitational collapse at the nuclear density and thus prevent singularities it is considered effective gravity which includes newtonian potential and inertial antigravitational potential it is investigated footprints of the effective gravity in the solar system the inertial antigravitational potential of the sun allows to explain the anomalous acceleration of pioneer 10 and 11 the anomalous increase in the lunar semimajor axis the residuals of the seasonal variation of the proper angular velocity of the earth the anomalous increase of the astronomical unit the anomalous shift of the perihelion of mercury | [['it', 'is', 'introduced', 'inertial', 'antigravitational', 'potential', 'into', 'the', 'theory', 'of', 'gravity', 'to', 'stop', 'gravitational', 'collapse', 'at', 'the', 'nuclear', 'density', 'and', 'thus', 'prevent', 'singularities', 'it', 'is', 'considered', 'effective', 'gravity', 'which', 'includes', 'newtonian', 'potential', 'and', 'inertial', 'antigravitational', 'potential', 'it', 'is', 'investigated', 'footprints', 'of', 'the', 'effective', 'gravity', 'in', 'the', 'solar', 'system', 'the', 'inertial', 'antigravitational', 'potential', 'of', 'the', 'sun', 'allows', 'to', 'explain', 'the', 'anomalous', 'acceleration', 'of', 'pioneer', '10', 'and', '11', 'the', 'anomalous', 'increase', 'in', 'the', 'lunar', 'semimajor', 'axis', 'the', 'residuals', 'of', 'the', 'seasonal', 'variation', 'of', 'the', 'proper', 'angular', 'velocity', 'of', 'the', 'earth', 'the', 'anomalous', 'increase', 'of', 'the', 'astronomical', 'unit', 'the', 'anomalous', 'shift', 'of', 'the', 'perihelion', 'of', 'mercury']] | [-0.14837423982369957, 0.19956939821176736, -0.08896368678200886, 0.08781326869140985, -0.07545487261693744, -0.06758175606531933, -0.018667951561917452, 0.26728712689827727, -0.23998469285648857, -0.33563212623584615, 0.047805301191791605, -0.26173418104093077, -0.12876660697777004, 0.168848102858055, -0.068727656909563, 0.0503232010088644, -0.003082194071697089, 0.0795336671985089, -0.041737220139306, -0.20253663312969278, 0.25447102412310185, 0.12957413803822207, 0.16540440132172363, 0.06797351643840954, 0.1358615157908751, -0.03205371617047948, -0.03870637250105733, 0.010519045034369219, -0.09840612707985114, 0.09077282599851634, 0.13292510257310514, 0.05954281964850187, 0.2090418479016539, -0.38929509522519934, -0.2510474738438876, 0.05780643430025344, 0.10151362261798197, 0.09844063996400648, -0.04250865219640139, -0.2958351291300168, 0.009553458953041185, -0.20212394734889774, -0.22083942634641257, 0.02417829649938831, 0.13224970543919837, -0.004007817727504569, -0.23362329271305532, 0.12274604124521149, 0.05741998864771816, 0.07187796735828653, -0.1375099129492227, -0.09815948677545377, -0.024371494145756498, 0.13021942096066128, 0.14649274829747969, 0.059076680535070814, 0.22134556585597326, -0.07382475940998896, -0.027555942770491525, 0.4668633166736769, -0.10838303011977701, -0.12564062990826888, 0.1644360329232459, -0.2342349053044053, -0.04477149520060319, 0.14904618940487938, 0.16906230016927987, 0.053939267197280254, -0.1269385895140252, 0.11918893855040243, 0.061656124332639416, 0.10132763745462142, 0.11278964439859089, 0.016429849197292356, 0.3152387832987656, 0.12816596329573868, 0.08089845756846435, 0.03635105249263997, -0.19797738856699282, -0.08062841621390318, -0.29363164528119334, -0.16810910656903555, -0.1472466741281661, 0.02105226339455875, -0.1380647532976723, -0.1539668209841746, 0.36864297726706974, 0.2003030680771013, 0.137847331058668, -0.019691604220091356, 0.3117008023845593, 0.08199634270186455, 0.12911679794180017, 0.03506581671083871, 0.3739913485365585, 0.14426230056916625, 0.15858510363783723, -0.3361469100261089, 0.01151476854043651, 0.051239654704367796] |
710.5863 | An elementary proof of Grothendieck's Non-vanishing Theorem | We give an elementary proof of Grothendieck's non-vanishing Theorem: For a
finitely generated non-zero module $M$ over a Noetherian local ring $A$ with
maximal ideal
$\m$, the local cohomology module $H^{\dim M}_{\m}(M)$ is non-zero.
| math.AC math.AG | we give an elementary proof of grothendiecks nonvanishing theorem for a finitely generated nonzero module m over a noetherian local ring a with maximal ideal m the local cohomology module hdim m_mm is nonzero | [['we', 'give', 'an', 'elementary', 'proof', 'of', 'grothendiecks', 'nonvanishing', 'theorem', 'for', 'a', 'finitely', 'generated', 'nonzero', 'module', 'm', 'over', 'a', 'noetherian', 'local', 'ring', 'a', 'with', 'maximal', 'ideal', 'm', 'the', 'local', 'cohomology', 'module', 'hdim', 'm_mm', 'is', 'nonzero']] | [-0.31755737584987376, 0.06865645478396662, -0.13533237294265718, 0.02198648059416111, -0.0851684207886909, -0.22754881639654437, -0.10425422064056902, 0.2494640498224533, -0.4039215552761699, -0.12852286584110875, 0.0681469772208595, -0.17603661424734376, -0.03464645906669003, 0.21047186105032312, -0.13804515106885723, -0.10885179003305508, 0.04484359612406203, 0.1626730648179849, -0.05789290367851429, -0.3278347987004302, 0.3698006605334354, -0.0004683543335307728, 0.19375675690896582, 0.06038776068299106, 0.2213340581705173, 0.07128689366138795, -0.07591107047416946, -0.02132751882979364, -0.1921885647161892, 0.10305465422006267, 0.3350968936486452, 0.007821292249542294, 0.24015431791882624, -0.37875722580109583, -0.012322973417626186, 0.2895291071441589, 0.06869466928765178, -0.000771922708460779, -0.06197287267864202, -0.2315266275721969, 0.24897631051752603, -0.292561798215364, -0.19492961627177216, -0.0690666509397102, 0.13519317831731203, -0.017660756397879486, -0.31602645721850975, -0.018952808286430256, 0.16162227641678217, 0.24838412781669336, -0.05757511488980416, -0.06272599213954175, -0.05264346092713602, 0.004647133716692527, -0.10233790994000931, 0.026445928707041523, 0.1658330443597427, -0.05162211463109336, -0.11030428523592876, 0.264028796869697, -0.15553026671775363, -0.19594371797178278, 0.09764785804983342, -0.16085429972207005, -0.06304976550128424, 0.1442643058712058, -0.09038558212870901, 0.1820964886609352, 0.04105934370873553, 0.26255075554504537, -0.2868912677760377, 0.06270192309536717, 0.07168791587041183, 0.04370771229944446, 0.20315983016608338, 0.053237597373398865, 0.182956461612114, 0.06531519804036978, 0.060981535211657036, 0.04657227444377812, -0.4566527207692464, -0.23086530588228593, -0.2151289056760795, 0.22712466620247473, -0.11804072951869757, -0.17014420563072868, 0.4449290574500055, 0.014909304833660523, 0.14972627885413892, 0.13297892979938875, 0.28270654298478004, 0.011967415328730236, 0.07972211174836213, 0.05012121995572339, 0.027086753835619398, 0.28136960761339375, -0.029234915170959677, -0.07933503808453679, -0.04805461527553923, 0.2857248407195915] |
710.5864 | Redshift Dependent Lag-Luminosity Relation in 565 BASTE Gamma Ray Bursts | We compared redshifts $z_Y$ from Yonetoku relation and $z_{lag}$ from the
lag-luminosity relation for 565 BASTE GRBs and were surprised to find that the
correlation is very low. Assuming that the luminosity is a function of both
$z_Y$ and the intrinsic spectral lag $\tau_{lag}$, we found a new redshift
dependent lag-luminosity relation as $L=7.5\times 10^{50}{\rm
erg/s}(1+z)^{2.53}\tau_{lag}^{-0.282}$ with the correlation coefficient of 0.77
and the chance probability of $7.9\times 10^{-75}$. To check the validity of
this method, we examined the other luminosity indicator, Amati relation, using
$z_Y$ and the observed fluence and found the correlation coefficient of 0.92
and the chance probability of $5.2\times 10^{-106}$. Although the spectral lag
is computed from two channels of BATSE, our new lag-luminosity relation
suggests that a possible lag-luminosity relation in the \swift era should also
depend on redshift.
| astro-ph | we compared redshifts z_y from yonetoku relation and z_lag from the lagluminosity relation for 565 baste grbs and were surprised to find that the correlation is very low assuming that the luminosity is a function of both z_y and the intrinsic spectral lag tau_lag we found a new redshift dependent lagluminosity relation as l75times 1050rm ergs1z253tau_lag0282 with the correlation coefficient of 077 and the chance probability of 79times 1075 to check the validity of this method we examined the other luminosity indicator amati relation using z_y and the observed fluence and found the correlation coefficient of 092 and the chance probability of 52times 10106 although the spectral lag is computed from two channels of batse our new lagluminosity relation suggests that a possible lagluminosity relation in the swift era should also depend on redshift | [['we', 'compared', 'redshifts', 'z_y', 'from', 'yonetoku', 'relation', 'and', 'z_lag', 'from', 'the', 'lagluminosity', 'relation', 'for', '565', 'baste', 'grbs', 'and', 'were', 'surprised', 'to', 'find', 'that', 'the', 'correlation', 'is', 'very', 'low', 'assuming', 'that', 'the', 'luminosity', 'is', 'a', 'function', 'of', 'both', 'z_y', 'and', 'the', 'intrinsic', 'spectral', 'lag', 'tau_lag', 'we', 'found', 'a', 'new', 'redshift', 'dependent', 'lagluminosity', 'relation', 'as', 'l75times', '1050rm', 'ergs1z253tau_lag0282', 'with', 'the', 'correlation', 'coefficient', 'of', '077', 'and', 'the', 'chance', 'probability', 'of', '79times', '1075', 'to', 'check', 'the', 'validity', 'of', 'this', 'method', 'we', 'examined', 'the', 'other', 'luminosity', 'indicator', 'amati', 'relation', 'using', 'z_y', 'and', 'the', 'observed', 'fluence', 'and', 'found', 'the', 'correlation', 'coefficient', 'of', '092', 'and', 'the', 'chance', 'probability', 'of', '52times', '10106', 'although', 'the', 'spectral', 'lag', 'is', 'computed', 'from', 'two', 'channels', 'of', 'batse', 'our', 'new', 'lagluminosity', 'relation', 'suggests', 'that', 'a', 'possible', 'lagluminosity', 'relation', 'in', 'the', 'swift', 'era', 'should', 'also', 'depend', 'on', 'redshift']] | [-0.0442377211427531, 0.09362229834704731, -0.12666645536485774, 0.2094227078818501, -0.07799036311737906, -0.11839816973258097, 0.0950078128120647, 0.433214252979423, -0.16562731590193625, -0.35243189237438716, 0.02930219805566594, -0.3371060149027751, -0.09195488207758619, 0.2317141086078034, 0.00016765341592522767, 0.04109247666783631, -0.010288045935046215, -0.04090939672090686, -0.12028088261610649, -0.21342890086368874, 0.2877084278000089, 0.09961995914435158, 0.27301432066238845, 0.05060416986906113, 0.09901765725360467, -0.0397716018371284, -0.0804995708167553, 0.020361483254684853, -0.14685107986347598, 0.020757815084205225, 0.2105494800937147, 0.13841578729020862, 0.1847784552588844, -0.2549304574002655, -0.1513802676891478, 0.09038693336411738, 0.1186059366266888, -0.023231243413801377, -0.021164438462493797, -0.2444228115061728, 0.031326844867390506, -0.214727114714109, -0.09532174226433898, 0.06973138713421156, 0.08550262809731066, 0.04585103820113895, -0.22128164991736413, 0.22646943229908803, 0.005712222448290469, 0.03619155771313952, -0.08209851667141685, -0.0808713806542353, -0.04819718497053075, 0.07475079465254497, 0.07739120574059108, 0.08770901300595142, 0.05801103141230459, -0.09875501419211595, -0.03763168007896568, 0.35050748340212384, -0.0651517644058913, -0.025186892914084286, 0.18058380715262431, -0.19656108741720135, -0.14647477100818204, 0.07772772764930358, 0.08858386525132049, 0.045759693426953164, -0.14994274875722252, -0.0016141906176926567, 0.002355264351130105, 0.28706576605148326, 0.03615572656361529, 0.06361635582736479, 0.21736376357193177, 0.07777079225052148, -0.015482712586302884, 0.08860389721409705, -0.18858813986432954, 0.01790642004343681, -0.28065972940709727, -0.12093246403651742, -0.16827965532787717, 0.0948606538765419, -0.1401481943770285, -0.09515924073863201, 0.35467306056704656, 0.13944083807918314, 0.2344291514215561, 0.16802701829538608, 0.20019129105807784, 0.1631603723570991, 0.0558484287896695, 0.07312040883116425, 0.33832448864212405, 0.13558644517324864, 0.061372437460634574, -0.2357148428572915, 0.11306509206143137, 0.02497259219391988] |
710.5865 | Fluctuation of the download network | The scaling behavior of fluctuation for a download network which we have
investigated a few years ago based upon Zhang's Encophysics web page has been
presented. A power law scaling, namely $\sigma \sim < f> ^ \alpha $ exists
between the dispersion $\sigma$ and average flux $<f>$ of the download rates.
The fluctuation exponent $\alpha$ is neither 1/2 nor 1 which was claimed as two
universal fluctuation classes in previous publication, instead it varies from
1/2 to 1 with the time window in which the download data were accumulated. The
crossover behavior of fluctuation exponents can be qualitatively understood by
the external driving fluctuation model for a small-size system or a network
traffic model which suggests congestion as the origin.
| physics.soc-ph cond-mat.stat-mech nucl-th physics.data-an | the scaling behavior of fluctuation for a download network which we have investigated a few years ago based upon zhangs encophysics web page has been presented a power law scaling namely sigma sim f alpha exists between the dispersion sigma and average flux f of the download rates the fluctuation exponent alpha is neither 12 nor 1 which was claimed as two universal fluctuation classes in previous publication instead it varies from 12 to 1 with the time window in which the download data were accumulated the crossover behavior of fluctuation exponents can be qualitatively understood by the external driving fluctuation model for a smallsize system or a network traffic model which suggests congestion as the origin | [['the', 'scaling', 'behavior', 'of', 'fluctuation', 'for', 'a', 'download', 'network', 'which', 'we', 'have', 'investigated', 'a', 'few', 'years', 'ago', 'based', 'upon', 'zhangs', 'encophysics', 'web', 'page', 'has', 'been', 'presented', 'a', 'power', 'law', 'scaling', 'namely', 'sigma', 'sim', 'f', 'alpha', 'exists', 'between', 'the', 'dispersion', 'sigma', 'and', 'average', 'flux', 'f', 'of', 'the', 'download', 'rates', 'the', 'fluctuation', 'exponent', 'alpha', 'is', 'neither', '12', 'nor', '1', 'which', 'was', 'claimed', 'as', 'two', 'universal', 'fluctuation', 'classes', 'in', 'previous', 'publication', 'instead', 'it', 'varies', 'from', '12', 'to', '1', 'with', 'the', 'time', 'window', 'in', 'which', 'the', 'download', 'data', 'were', 'accumulated', 'the', 'crossover', 'behavior', 'of', 'fluctuation', 'exponents', 'can', 'be', 'qualitatively', 'understood', 'by', 'the', 'external', 'driving', 'fluctuation', 'model', 'for', 'a', 'smallsize', 'system', 'or', 'a', 'network', 'traffic', 'model', 'which', 'suggests', 'congestion', 'as', 'the', 'origin']] | [-0.16698384030465166, 0.13887946581636587, -0.12344547781033506, 0.08514131715316486, -0.027847824066752923, -0.19316922541274206, 0.09566691390575906, 0.33259479754206983, -0.25593932848102574, -0.3392478446315589, 0.08402525627250976, -0.31628281097248967, -0.10096744913005687, 0.1991118087833707, -0.004689488953364821, 0.06120788886368371, -0.037529804775940964, 0.0680195839798624, -0.0307035304220586, -0.24491892638616264, 0.2671504243244899, 0.06118264759826506, 0.3100773799393711, 0.0404543527080838, 0.04018103391241186, -0.04698020794653687, -0.041349259285448955, 0.023601182485561305, -0.16114437962272044, 0.03193582181321007, 0.19335708657785416, 0.08346522188191463, 0.24614367839992687, -0.34490494633992685, -0.27695751831674115, 0.10794111692089715, 0.14879682498727123, 0.04229455862338815, -0.004632709784722277, -0.24707230328429683, 0.07459614073440175, -0.21073841396719217, -0.1052452834415378, 0.0015254469562305845, 0.1079611804593226, 0.048876542947255075, -0.2406458740106559, 0.12968795915166365, 0.054408330646953704, 0.08877053322944918, -0.023100770688776313, -0.10340851114898246, -0.023940871469676495, 0.1558290100596235, 0.0831922337348605, 0.08128720487002283, 0.15589507490773846, -0.10466983510534568, -0.09477828108858125, 0.3370445851589842, -0.07250119940265998, -0.11515438567108378, 0.13368685705113578, -0.15459363388523845, -0.12368367133051927, 0.146800711486039, 0.11497418410425748, 0.036794962896676914, -0.1806724212405368, 0.07510655481269952, -0.016370003577321768, 0.2535390910242909, 0.06699674981365238, -0.0040755791879150665, 0.16415609746513055, 0.16788260943802266, 0.026876368497674965, 0.10321458132740849, -0.09675844776412022, -0.08405396578319628, -0.279884453919106, -0.09695595282065714, -0.19050200972384934, 0.10716665806667779, -0.0802692835767912, -0.11711357915492986, 0.37682160797352293, 0.10891193926037321, 0.19283920787033978, 0.1024869324856213, 0.20669342392296852, 0.12885012555313458, 0.09026062557602237, 0.1287833202413508, 0.2140053215532981, 0.05747490234528508, 0.17100052148553319, -0.17373375296954002, 0.08726590844112095, 0.054142121952187656] |
710.5866 | A first integration of some knot soliton models | Recently it has been shown that there exists a sector within the
Faddeev-Niemi model for which the equations of motion may be reduced to first
order equations. However, no solutions to that sector have been given. It is
not even known whether this sector contains topologically nontrivial solutions,
at all.
Here, we show that two models with analytically known Hopf solitons, namely
the Nicole and the Aratyn-Ferreira-Zimerman models, possess sectors which can
be integrated to first order partial differential equations. The main result is
that these sectors are topologically nontrivial. In fact, all analytically
known hopfions belong to them.
| hep-th | recently it has been shown that there exists a sector within the faddeevniemi model for which the equations of motion may be reduced to first order equations however no solutions to that sector have been given it is not even known whether this sector contains topologically nontrivial solutions at all here we show that two models with analytically known hopf solitons namely the nicole and the aratynferreirazimerman models possess sectors which can be integrated to first order partial differential equations the main result is that these sectors are topologically nontrivial in fact all analytically known hopfions belong to them | [['recently', 'it', 'has', 'been', 'shown', 'that', 'there', 'exists', 'a', 'sector', 'within', 'the', 'faddeevniemi', 'model', 'for', 'which', 'the', 'equations', 'of', 'motion', 'may', 'be', 'reduced', 'to', 'first', 'order', 'equations', 'however', 'no', 'solutions', 'to', 'that', 'sector', 'have', 'been', 'given', 'it', 'is', 'not', 'even', 'known', 'whether', 'this', 'sector', 'contains', 'topologically', 'nontrivial', 'solutions', 'at', 'all', 'here', 'we', 'show', 'that', 'two', 'models', 'with', 'analytically', 'known', 'hopf', 'solitons', 'namely', 'the', 'nicole', 'and', 'the', 'aratynferreirazimerman', 'models', 'possess', 'sectors', 'which', 'can', 'be', 'integrated', 'to', 'first', 'order', 'partial', 'differential', 'equations', 'the', 'main', 'result', 'is', 'that', 'these', 'sectors', 'are', 'topologically', 'nontrivial', 'in', 'fact', 'all', 'analytically', 'known', 'hopfions', 'belong', 'to', 'them']] | [-0.13887500495654578, 0.12241641738901216, -0.08427552215171734, 0.0796605473762905, -0.10139725792852014, -0.1532439052955144, -0.06075328882934168, 0.3624048891543138, -0.2541801897112769, -0.28593283679072906, 0.14707708174264003, -0.29290754439055244, -0.20300285491358602, 0.15769113832614337, -0.008817863281383509, 0.04183858549434014, 0.018023840433946163, 0.057009230640651, -0.02404700097571494, -0.27775946287720493, 0.3301019482643842, -0.0881552741171397, 0.22664027140391144, 0.03947086842504866, 0.10739205990720427, -0.12268520225159298, 0.05340160867387448, 0.05435994833195112, -0.1360399317801248, 0.030261610709883348, 0.26823035639223014, 0.07916508373719724, 0.17357271627494783, -0.41259007524661345, -0.23118008472815607, 0.16584803154010025, 0.18784400367770682, 0.14860799568799335, -0.03810360825460667, -0.272681224178711, 0.14489669871112013, -0.19157972201855497, -0.14106444346558566, -0.13821871984147965, 0.05192347411348513, -0.030412639722914782, -0.22444705473202647, 0.05134078064425425, 0.0587027530524541, -0.04944617692334107, -0.056070998014712874, -0.08386415581341193, -0.10718796397041944, 0.12370862734193604, 0.09790741591948035, 0.005777508260287119, -0.01789544860013958, -0.13509731945279524, -0.1370323845232376, 0.3797055483616964, -0.04335207735056603, -0.2691813400015235, 0.21418317608568216, -0.14571645997953836, -0.16192315594584802, 0.14506140106705703, 0.09646939635841233, 0.11999398356096612, -0.17272926508590128, 0.12659090361263922, -0.11002787584532993, 0.18841072250947807, 0.07025434218601069, 0.012402279273080028, 0.20665619078308645, 0.07696098536535194, 0.07914586234226297, 0.0871312453980661, 0.011415553652867205, -0.15303136540266374, -0.3163288715154384, -0.12059072104536674, -0.117570864684019, 0.05029895357247277, 0.000686656482455396, -0.17552697094189088, 0.3841259471244282, 0.14997433237331648, 0.11759757928813648, 0.002132038644637273, 0.23520462615109716, 0.17943705276426192, 0.1306231679827577, 0.11874959975330517, 0.28089531901471243, 0.12732876063973614, 0.0487195968891334, -0.14609145959180714, 0.0404417521150952, 0.0757193604691161] |
710.5867 | Testing mu-e universality with Kl2 decays | The ratio R_K=Gamma(Ke2)/Gamma(Kmu2) provides a very powerful probe for the
weak interactions structure. This ratio of decay rates is calculated with very
high precision within the Standard Model but the corrections due to the
presence of New Physics could be as high as 3%. The data obtained by the NA48
experiment at the CERN SPS accelerator during a 56 hours special run in 2004
has been analyzed.The precision of the preliminary result for R_K is two times
better than the world average but is still insufficient to probe the existence
of physics Beyond the Standard Model. Currently the experiment is taking data
dedicated to the sub-percent precision measurement of R_K.
| hep-ex | the ratio r_kgammake2gammakmu2 provides a very powerful probe for the weak interactions structure this ratio of decay rates is calculated with very high precision within the standard model but the corrections due to the presence of new physics could be as high as 3 the data obtained by the na48 experiment at the cern sps accelerator during a 56 hours special run in 2004 has been analyzedthe precision of the preliminary result for r_k is two times better than the world average but is still insufficient to probe the existence of physics beyond the standard model currently the experiment is taking data dedicated to the subpercent precision measurement of r_k | [['the', 'ratio', 'r_kgammake2gammakmu2', 'provides', 'a', 'very', 'powerful', 'probe', 'for', 'the', 'weak', 'interactions', 'structure', 'this', 'ratio', 'of', 'decay', 'rates', 'is', 'calculated', 'with', 'very', 'high', 'precision', 'within', 'the', 'standard', 'model', 'but', 'the', 'corrections', 'due', 'to', 'the', 'presence', 'of', 'new', 'physics', 'could', 'be', 'as', 'high', 'as', '3', 'the', 'data', 'obtained', 'by', 'the', 'na48', 'experiment', 'at', 'the', 'cern', 'sps', 'accelerator', 'during', 'a', '56', 'hours', 'special', 'run', 'in', '2004', 'has', 'been', 'analyzedthe', 'precision', 'of', 'the', 'preliminary', 'result', 'for', 'r_k', 'is', 'two', 'times', 'better', 'than', 'the', 'world', 'average', 'but', 'is', 'still', 'insufficient', 'to', 'probe', 'the', 'existence', 'of', 'physics', 'beyond', 'the', 'standard', 'model', 'currently', 'the', 'experiment', 'is', 'taking', 'data', 'dedicated', 'to', 'the', 'subpercent', 'precision', 'measurement', 'of', 'r_k']] | [-0.062218916598160603, 0.13436645437715525, -0.07602465367895218, 0.1006722131566734, -0.02770089198100389, -0.1627679869378789, 0.03850405277052057, 0.2887146407652886, -0.22523570291424563, -0.3984044303160605, 0.1224705601728376, -0.2820804663485241, 0.011920280814375898, 0.22279918131016946, 0.007052664523260719, 0.066088542308009, 0.10633386090427739, 0.019602493011315756, -0.059716697681883195, -0.23084169057830142, 0.1958810165182713, 0.21232613335030343, 0.28622155858699333, 0.09088104583510975, 0.06403548092743673, -0.0351801289271119, -0.021796025223645526, -0.013203812113732373, -0.08466604819260709, 0.0654868271587408, 0.23072749582213273, 0.1299429032417578, 0.20234644713965372, -0.39069960563691386, -0.15505925421987515, 0.11126691894178543, 0.10342172964330797, 0.08852780569310582, -0.05891109462998329, -0.2646583630682029, 0.10236670392984097, -0.1558144385798262, -0.13692141729706062, -0.051869349327758635, 0.015990971391080716, -0.04120314712614812, -0.3038820739170118, 0.08424895316140231, -0.027013301494779117, 0.06805878461535098, 0.015075106767578682, -0.15797324933607235, 0.055243729583816514, 0.12164210231222827, 0.05793549420596143, 0.09245003060941849, 0.10134767555127587, -0.14958090521608813, -0.1144342862428465, 0.4199708549032381, -0.10132823231987284, -0.12014153575815192, 0.19832350074424657, -0.2283992416977267, -0.1326496603753452, 0.1460214737458838, 0.17872964598050495, 0.05692155458836244, -0.1763038596382937, 0.08921743477395641, -0.006690176319194223, 0.18198218779988723, 0.033664008019355325, 0.03851857359324573, 0.2130085300139382, 0.2514808386043056, 0.009404453671101582, 0.0523409772260593, -0.14055555303999728, -0.07210083992365714, -0.314789477846833, -0.09626046712553009, -0.1306895002756917, 0.039668480884881875, -0.060203429503759384, -0.04798844492772099, 0.37172513635436055, 0.12771092998632871, 0.2243506506025586, 0.040720971211483444, 0.31147612574928946, 0.07690261305019327, 0.11308315369394531, -0.012772074900567532, 0.3579885955353122, 0.1117148204749197, 0.14472417744867708, -0.18555938201281455, 0.10424370897523717, -0.008149856146117416] |
710.5868 | Phase Integral Approximation for coupled ODEs of the Schroedinger type | Four generalizations of the Phase Integral Approximation (PIA) to sets of N
ordinary differential equations of the Schroedinger type: u_j''(x) + Sum{k = 1
to N} R_{jk}(x) u_k(x) = 0, j = 1 to N, are described. The recurrence relations
for higher order corrections are given in the form valid in arbitrary order and
for the matrix R_{jk} either hermitian or non-hermitian. For hermitian and
negative definite R matrices, the Wronskian conserving PIA theory is formulated
which generalizes Fulling's current conserving theory pertinent to positive
definite R matrices. The idea of a modification of the PIA, well known for one
equation: u''(x) + R(x) u(x) = 0, is generalized to sets. A simplification of
Wronskian or current conserving theories is proposed which in each order
eliminates one integration from the formulas for higher order corrections. If
the PIA is generated by a non-degenerate eigenvalue of the R matrix, the
eliminated integration is the only one present. In that case, the simplified
theory becomes fully algorithmic and is generalized to non-hermitian R
matrices. General theory is illustrated by a few examples generated
automatically by using author's program in Mathematica, published in
arXiv:0710.5406.
| math-ph math.MP | four generalizations of the phase integral approximation pia to sets of n ordinary differential equations of the schroedinger type u_jx sumk 1 to n r_jkx u_kx 0 j 1 to n are described the recurrence relations for higher order corrections are given in the form valid in arbitrary order and for the matrix r_jk either hermitian or nonhermitian for hermitian and negative definite r matrices the wronskian conserving pia theory is formulated which generalizes fullings current conserving theory pertinent to positive definite r matrices the idea of a modification of the pia well known for one equation ux rx ux 0 is generalized to sets a simplification of wronskian or current conserving theories is proposed which in each order eliminates one integration from the formulas for higher order corrections if the pia is generated by a nondegenerate eigenvalue of the r matrix the eliminated integration is the only one present in that case the simplified theory becomes fully algorithmic and is generalized to nonhermitian r matrices general theory is illustrated by a few examples generated automatically by using authors program in mathematica published in arxiv07105406 | [['four', 'generalizations', 'of', 'the', 'phase', 'integral', 'approximation', 'pia', 'to', 'sets', 'of', 'n', 'ordinary', 'differential', 'equations', 'of', 'the', 'schroedinger', 'type', 'u_jx', 'sumk', '1', 'to', 'n', 'r_jkx', 'u_kx', '0', 'j', '1', 'to', 'n', 'are', 'described', 'the', 'recurrence', 'relations', 'for', 'higher', 'order', 'corrections', 'are', 'given', 'in', 'the', 'form', 'valid', 'in', 'arbitrary', 'order', 'and', 'for', 'the', 'matrix', 'r_jk', 'either', 'hermitian', 'or', 'nonhermitian', 'for', 'hermitian', 'and', 'negative', 'definite', 'r', 'matrices', 'the', 'wronskian', 'conserving', 'pia', 'theory', 'is', 'formulated', 'which', 'generalizes', 'fullings', 'current', 'conserving', 'theory', 'pertinent', 'to', 'positive', 'definite', 'r', 'matrices', 'the', 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710.5869 | Computing generators of free modules over orders in group algebras | Let E be a number field and G be a finite group. Let A be any O_E-order of
full rank in the group algebra E[G] and X be a (left) A-lattice. We give a
necessary and sufficient condition for X to be free of given rank d over A. In
the case that the Wedderburn decomposition of E[G] is explicitly computable and
each component is in fact a matrix ring over a field, this leads to an
algorithm that either gives an A-basis for X or determines that no such basis
exists.
Let L/K be a finite Galois extension of number fields with Galois group G
such that E is a subfield of K and put d=[K:E]. The algorithm can be applied to
certain Galois modules that arise naturally in this situation. For example, one
can take X to be O_L, the ring of algebraic integers of L, and A to be the
associated order A of O_L in E[G]. The application of the algorithm to this
special situation is implemented in Magma under certain extra hypotheses when
K=E=Q.
| math.NT math.RA | let e be a number field and g be a finite group let a be any o_eorder of full rank in the group algebra eg and x be a left alattice we give a necessary and sufficient condition for x to be free of given rank d over a in the case that the wedderburn decomposition of eg is explicitly computable and each component is in fact a matrix ring over a field this leads to an algorithm that either gives an abasis for x or determines that no such basis exists let lk be a finite galois extension of number fields with galois group g such that e is a subfield of k and put dke the algorithm can be applied to certain galois modules that arise naturally in this situation for example one can take x to be o_l the ring of algebraic integers of l and a to be the associated order a of o_l in eg the application of the algorithm to this special situation is implemented in magma under certain extra hypotheses when keq | [['let', 'e', 'be', 'a', 'number', 'field', 'and', 'g', 'be', 'a', 'finite', 'group', 'let', 'a', 'be', 'any', 'o_eorder', 'of', 'full', 'rank', 'in', 'the', 'group', 'algebra', 'eg', 'and', 'x', 'be', 'a', 'left', 'alattice', 'we', 'give', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'x', 'to', 'be', 'free', 'of', 'given', 'rank', 'd', 'over', 'a', 'in', 'the', 'case', 'that', 'the', 'wedderburn', 'decomposition', 'of', 'eg', 'is', 'explicitly', 'computable', 'and', 'each', 'component', 'is', 'in', 'fact', 'a', 'matrix', 'ring', 'over', 'a', 'field', 'this', 'leads', 'to', 'an', 'algorithm', 'that', 'either', 'gives', 'an', 'abasis', 'for', 'x', 'or', 'determines', 'that', 'no', 'such', 'basis', 'exists', 'let', 'lk', 'be', 'a', 'finite', 'galois', 'extension', 'of', 'number', 'fields', 'with', 'galois', 'group', 'g', 'such', 'that', 'e', 'is', 'a', 'subfield', 'of', 'k', 'and', 'put', 'dke', 'the', 'algorithm', 'can', 'be', 'applied', 'to', 'certain', 'galois', 'modules', 'that', 'arise', 'naturally', 'in', 'this', 'situation', 'for', 'example', 'one', 'can', 'take', 'x', 'to', 'be', 'o_l', 'the', 'ring', 'of', 'algebraic', 'integers', 'of', 'l', 'and', 'a', 'to', 'be', 'the', 'associated', 'order', 'a', 'of', 'o_l', 'in', 'eg', 'the', 'application', 'of', 'the', 'algorithm', 'to', 'this', 'special', 'situation', 'is', 'implemented', 'in', 'magma', 'under', 'certain', 'extra', 'hypotheses', 'when', 'keq']] | [-0.18961349182293913, 0.10859853503873734, -0.13587548289353313, 0.011157156324071946, -0.10113441832574074, -0.15189636838596082, -0.00013994221446646303, 0.34281061308347954, -0.3414475981798549, -0.23780258936481288, 0.12194879527603629, -0.19496254041517352, -0.10131025251190541, 0.20840808796422755, -0.10399147499705227, -0.07826299485579491, 0.01800713819414798, 0.16653433695993264, -0.05553866531729493, -0.27755966496859064, 0.313520083253898, -0.019267820588728717, 0.16496695360789695, 0.035125458541676126, 0.10490244731180749, 0.012117251880745809, 0.048021779744228145, 0.06683713227765645, -0.08798018147177254, 0.08219945547631337, 0.3204522531934735, 0.12283339656311144, 0.2721077324717311, -0.3876349788927342, -0.1614624747682868, 0.25515822566635277, 0.13570315271063832, 0.024579136837589537, -0.016484275426042114, -0.22322960611660358, 0.16811692833934652, -0.19877155764965015, -0.11499741610592115, -0.057633576004392346, 0.08360272401543913, -0.007442091365402701, -0.3509645652983569, -0.02512642123741703, 0.07584397131537671, 0.1224026914770152, -0.01645343406599457, -0.10490878887861273, -0.017556368028692437, 0.0705510312778478, -0.010176182345692383, 0.102952214334118, 0.08235269423184843, -0.0845554317518711, -0.08447608045064897, 0.40458240239002274, -0.07889719859967903, -0.2314629081641929, 0.12906191816374576, -0.15231911230853384, -0.11333549485704993, 0.14347863586758933, 0.13183684718379446, 0.1234505813845728, -0.04832412618632352, 0.19389152281988664, -0.1366411187724831, 0.13341264501424496, 0.04377684671836932, -0.022612540299299114, 0.15609246131301052, 0.0891527610490267, 0.10752727975707112, 0.11593336402767437, -0.0049430955267816485, 0.042087394068028125, -0.35495170078498156, -0.21050459171229668, -0.14201706410043657, 0.1277101732590525, -0.08304786793101647, -0.15945943588085768, 0.3908912802778058, 0.11151964278591765, 0.21370800345936147, 0.03267915433504234, 0.2085692842936901, 0.11616126425389338, 0.08796491444184534, 0.07302551710252035, 0.07240776173602052, 0.19632073383157453, -0.0488631376841416, -0.154682072153115, 0.02574912369472243, 0.10762062690373363] |
710.587 | Defects in nematic membranes can buckle into pseudospheres | A nematic membrane is a sheet with embedded orientational order, which can
occur in biological cells, liquid crystal films, manufactured materials, and
other soft matter systems. By formulating the free energy of nematic films
using tensor contractions from differential geometry, we elucidate the elastic
terms allowed by symmetry, and indicate differences from hexatic membranes. We
find that topological defects in the orientation field can cause the membrane
to buckle over a size set by the competition between surface tension and
in-plane elasticity. In the absence of bending rigidity the resulting shape is
universal, known as a parabolic pseudosphere or a revolved tractrix. Bending
costs oppose such buckling and modify the shape in a predictable manner. In
particular, the anisotropic rigidities of nematic membranes lead to different
shapes for aster and vortex defects, in principle enabling measurement of
couplings specific to nematic membranes.
| cond-mat.soft | a nematic membrane is a sheet with embedded orientational order which can occur in biological cells liquid crystal films manufactured materials and other soft matter systems by formulating the free energy of nematic films using tensor contractions from differential geometry we elucidate the elastic terms allowed by symmetry and indicate differences from hexatic membranes we find that topological defects in the orientation field can cause the membrane to buckle over a size set by the competition between surface tension and inplane elasticity in the absence of bending rigidity the resulting shape is universal known as a parabolic pseudosphere or a revolved tractrix bending costs oppose such buckling and modify the shape in a predictable manner in particular the anisotropic rigidities of nematic membranes lead to different shapes for aster and vortex defects in principle enabling measurement of couplings specific to nematic membranes | [['a', 'nematic', 'membrane', 'is', 'a', 'sheet', 'with', 'embedded', 'orientational', 'order', 'which', 'can', 'occur', 'in', 'biological', 'cells', 'liquid', 'crystal', 'films', 'manufactured', 'materials', 'and', 'other', 'soft', 'matter', 'systems', 'by', 'formulating', 'the', 'free', 'energy', 'of', 'nematic', 'films', 'using', 'tensor', 'contractions', 'from', 'differential', 'geometry', 'we', 'elucidate', 'the', 'elastic', 'terms', 'allowed', 'by', 'symmetry', 'and', 'indicate', 'differences', 'from', 'hexatic', 'membranes', 'we', 'find', 'that', 'topological', 'defects', 'in', 'the', 'orientation', 'field', 'can', 'cause', 'the', 'membrane', 'to', 'buckle', 'over', 'a', 'size', 'set', 'by', 'the', 'competition', 'between', 'surface', 'tension', 'and', 'inplane', 'elasticity', 'in', 'the', 'absence', 'of', 'bending', 'rigidity', 'the', 'resulting', 'shape', 'is', 'universal', 'known', 'as', 'a', 'parabolic', 'pseudosphere', 'or', 'a', 'revolved', 'tractrix', 'bending', 'costs', 'oppose', 'such', 'buckling', 'and', 'modify', 'the', 'shape', 'in', 'a', 'predictable', 'manner', 'in', 'particular', 'the', 'anisotropic', 'rigidities', 'of', 'nematic', 'membranes', 'lead', 'to', 'different', 'shapes', 'for', 'aster', 'and', 'vortex', 'defects', 'in', 'principle', 'enabling', 'measurement', 'of', 'couplings', 'specific', 'to', 'nematic', 'membranes']] | [-0.15143026831784412, 0.22280632334609404, -0.05444069033660365, -0.012553547362050584, -0.06368305703215565, -0.13881204539170186, -0.00519021304575264, 0.3994360693750229, -0.30586063122072965, -0.2792566709933763, 0.03800938092997786, -0.2661281542337321, -0.19200749777039475, 0.11077960579266362, -0.0605950939757446, 0.047355121208837, -0.05347724191527417, -0.05929471811292865, -0.05785282800826145, -0.1399430023730858, 0.2579300780532921, -0.002735975930790899, 0.332291005337809, 0.07559890660345026, 0.05793998088829669, 0.007897059632967232, 0.09395624504070432, 0.1051874976664623, -0.21549168654664044, 0.1058640054308195, 0.25458654979448636, -0.10034701990373168, 0.15788209470523956, -0.5237098824470601, -0.24463947828267107, 0.06346044060031071, 0.12007284258881994, 0.14595201675175748, -0.02637790640525467, -0.2453633196419105, 0.04330896396612656, -0.12721430927808958, -0.15536343317531737, -0.08600869900976302, -0.008430996922122196, 0.03845375955104002, -0.1943411029485576, 0.13255895908710594, 0.06850926567476692, 0.06323670314175757, -0.12680221700723818, -0.06560329974179836, -0.11280926283290411, 0.07799835725528921, 0.11337698744081542, 0.022339428732079183, 0.2585941594241002, -0.1620591753476187, -0.10291791076487894, 0.41169914773645555, -0.0021351818102643104, -0.21582765810865354, 0.14842824519658132, -0.1318904168025346, -0.05683177046424954, 0.2033091906114673, 0.16866823637664832, 0.046767571511685, -0.10308987990720198, 0.04883276477434626, 0.03227736151542726, 0.20158021512659305, 0.13720824802954887, -0.022187555941971058, 0.2761967441311489, 0.1912820266934561, 0.06230523005616686, 0.16221521709218345, -0.07337290148336625, -0.05653282639022309, -0.2906635140683106, -0.18210418832138286, -0.14547592219533334, 0.04661311065870608, -0.13858789523288603, -0.2249690447207408, 0.34694272309462443, 0.044168652368957964, 0.17231699154800603, -0.003949189021133203, 0.187235837820455, -0.01581074098768687, 0.08685554294179834, -0.017350985301395956, 0.28109608662598734, 0.13699881630910046, 0.11535013018668042, -0.2404434439967261, 0.07398403103707742, 0.05048324887026498] |
710.5871 | Hydrodynamics of transversally thermalized partons in ultra-relativistic
heavy-ion collisions | The hydrodynamic description of transversally thermalized matter, possibly
formed at the early stages of ultra-relativistic heavy-ion collisions, is
developed. The formalism is based on the thermodynamically consistent approach
with all thermodynamic variables referring to two-dimensional objects, the
so-called transverse clusters, which are identified with the particles having
the same rapidity. The resulting hydrodynamic equations for a single cluster
have the form of the two-dimensional hydrodynamic equations of the perfect
fluid. Since the clusters do not perform any work in the longitudinal
direction, their energy is completely transformed and used to generate strong
radial and elliptic flows that turn out to be compatible with the experimental
data.
| nucl-th | the hydrodynamic description of transversally thermalized matter possibly formed at the early stages of ultrarelativistic heavyion collisions is developed the formalism is based on the thermodynamically consistent approach with all thermodynamic variables referring to twodimensional objects the socalled transverse clusters which are identified with the particles having the same rapidity the resulting hydrodynamic equations for a single cluster have the form of the twodimensional hydrodynamic equations of the perfect fluid since the clusters do not perform any work in the longitudinal direction their energy is completely transformed and used to generate strong radial and elliptic flows that turn out to be compatible with the experimental data | [['the', 'hydrodynamic', 'description', 'of', 'transversally', 'thermalized', 'matter', 'possibly', 'formed', 'at', 'the', 'early', 'stages', 'of', 'ultrarelativistic', 'heavyion', 'collisions', 'is', 'developed', 'the', 'formalism', 'is', 'based', 'on', 'the', 'thermodynamically', 'consistent', 'approach', 'with', 'all', 'thermodynamic', 'variables', 'referring', 'to', 'twodimensional', 'objects', 'the', 'socalled', 'transverse', 'clusters', 'which', 'are', 'identified', 'with', 'the', 'particles', 'having', 'the', 'same', 'rapidity', 'the', 'resulting', 'hydrodynamic', 'equations', 'for', 'a', 'single', 'cluster', 'have', 'the', 'form', 'of', 'the', 'twodimensional', 'hydrodynamic', 'equations', 'of', 'the', 'perfect', 'fluid', 'since', 'the', 'clusters', 'do', 'not', 'perform', 'any', 'work', 'in', 'the', 'longitudinal', 'direction', 'their', 'energy', 'is', 'completely', 'transformed', 'and', 'used', 'to', 'generate', 'strong', 'radial', 'and', 'elliptic', 'flows', 'that', 'turn', 'out', 'to', 'be', 'compatible', 'with', 'the', 'experimental', 'data']] | [-0.10289648777084812, 0.1779600319206574, -0.1685421747102771, 0.03875294326308166, -0.05432678048305635, -0.09236915285242195, -0.07389075578770267, 0.32404818537838337, -0.24080731277793366, -0.26836185517527583, 0.02204313733997175, -0.2680285776249256, 0.004540761333081941, 0.1538568117113137, 0.03583690864121858, 0.05153333204183376, 0.09747331254931062, 0.032310730786466936, -0.04646041283586045, -0.24281069342670786, 0.326557718482053, 0.06433170126259045, 0.26389345402811776, 0.009085434032076935, 0.10608617863551942, 0.0016444251929708528, -0.036924202124728765, 0.07426743713681991, -0.14333122068356322, 0.07370112869226295, 0.23563163598366785, 0.022138106122718385, 0.18647070011818115, -0.46696243447444913, -0.21937544537567585, 0.10085597578359258, 0.16219808171362668, 0.13852660013867965, -0.03642699472663292, -0.2493253907733509, 0.08338717756494177, -0.16352866952008796, -0.18253816585144345, -0.0539955506430728, -0.015617163840874608, 0.04513242907925368, -0.2312056629540715, 0.12897567307348098, 0.05535576447958724, 0.01780101160940556, -0.07780961570646262, -0.07119534171695979, -0.09003978212943899, 0.08304906239346513, 0.03517578097877427, 0.04424595275568723, 0.1445214901875072, -0.12351769910365308, -0.07434546582857673, 0.43152244171162824, -0.005921151775664667, -0.19743902408430036, 0.2283957811942289, -0.14511756374026244, -0.11958544049412012, 0.1568270320367103, 0.17272398044478218, 0.12849330759765404, -0.20373412859538254, 0.041777576222128396, -0.056219994134427805, 0.1321064701066616, 0.0638821916237368, 0.007251755119178374, 0.26217179877226643, 0.11539032758556236, -0.02599274688224607, 0.0954236464063145, -0.06312952348567054, -0.13326257639916017, -0.31942536388436016, -0.1181243203714161, -0.1429517513222307, 0.03503128709856372, -0.0693395924312392, -0.186988573855246, 0.3475151937037601, 0.10420404832662174, 0.2083156496672979, 0.007592755435737518, 0.27885086121002456, 0.12026840476494915, 0.07614069406760259, 0.1140758701411234, 0.2744206941317556, 0.16130476917649778, 0.1573236095499388, -0.23719177431347868, 0.040310375366078795, 0.0732051943920834] |
710.5872 | Implementing Quasi-Monte Carlo Simulations with Linear Transformations | Pricing exotic multi-asset path-dependent options requires extensive Monte
Carlo simulations. In the recent years the interest to the Quasi-monte Carlo
technique has been renewed and several results have been proposed in order to
improve its efficiency with the notion of effective dimension. To this aim,
Imai and Tan introduced a general variance reduction technique in order to
minimize the nominal dimension of the Monte Carlo method. Taking into account
these advantages, we investigate this approach in detail in order to make it
faster from the computational point of view. Indeed, we realize the linear
transformation decomposition relying on a fast ad hoc QR decomposition that
considerably reduces the computational burden. This setting makes the linear
transformation method even more convenient from the computational point of
view. We implement a high-dimensional (2500) Quasi-Monte Carlo simulation
combined with the linear transformation in order to price Asian basket options
with same set of parameters published by Imai and Tan. For the simulation of
the high-dimensional random sample, we use a 50-dimensional scrambled Sobol
sequence for the first 50 components, determined by the linear transformation
method, and pad the remaining ones out by the Latin Hypercube Sampling. The aim
of this numerical setting is to investigate the accuracy of the estimation by
giving a higher convergence rate only to those components selected by the
linear transformation technique. We launch our simulation experiment also using
the standard Cholesky and the principal component decomposition methods with
pseudo-random and Latin Hypercube sampling generators. Finally, we compare our
results and computational times, with those presented in Imai and Tan.
| math.PR stat.CO | pricing exotic multiasset pathdependent options requires extensive monte carlo simulations in the recent years the interest to the quasimonte carlo technique has been renewed and several results have been proposed in order to improve its efficiency with the notion of effective dimension to this aim imai and tan introduced a general variance reduction technique in order to minimize the nominal dimension of the monte carlo method taking into account these advantages we investigate this approach in detail in order to make it faster from the computational point of view indeed we realize the linear transformation decomposition relying on a fast ad hoc qr decomposition that considerably reduces the computational burden this setting makes the linear transformation method even more convenient from the computational point of view we implement a highdimensional 2500 quasimonte carlo simulation combined with the linear transformation in order to price asian basket options with same set of parameters published by imai and tan for the simulation of the highdimensional random sample we use a 50dimensional scrambled sobol sequence for the first 50 components determined by the linear transformation method and pad the remaining ones out by the latin hypercube sampling the aim of this numerical setting is to investigate the accuracy of the estimation by giving a higher convergence rate only to those components selected by the linear transformation technique we launch our simulation experiment also using the standard cholesky and the principal component decomposition methods with pseudorandom and latin hypercube sampling generators finally we compare our results and computational times with those presented in imai and tan | [['pricing', 'exotic', 'multiasset', 'pathdependent', 'options', 'requires', 'extensive', 'monte', 'carlo', 'simulations', 'in', 'the', 'recent', 'years', 'the', 'interest', 'to', 'the', 'quasimonte', 'carlo', 'technique', 'has', 'been', 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710.5873 | Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge
Theories | In the study of the small ten-dimensional Schwarzschild blackhole, the
blackhole to string transition is an important problem. In hep-th/0605041, a
possible identification is made between the Gross-Witten-Wadia (GWW) type
third-order large-N phase transition in the boundary gauge theory and the
string-black hole transition in the bulk. In this paper, we exhibit the
existence of the GWW transition by Monte Carlo simulation in the zero mode
bosonic action of the finite-temperature N=4 SYM theory on S^3. Exhibiting this
transition in the truncated but highly non-trivial gauge theory implies that in
the vicinity of the critical temperature T_c, the system goes critical, and the
fluctuations give rise to universal formulas derived in hep-th/0605041 We also
discuss the issue of SO(6) R-symmetry breaking.
| hep-th | in the study of the small tendimensional schwarzschild blackhole the blackhole to string transition is an important problem in hepth0605041 a possible identification is made between the grosswittenwadia gww type thirdorder largen phase transition in the boundary gauge theory and the stringblack hole transition in the bulk in this paper we exhibit the existence of the gww transition by monte carlo simulation in the zero mode bosonic action of the finitetemperature n4 sym theory on s3 exhibiting this transition in the truncated but highly nontrivial gauge theory implies that in the vicinity of the critical temperature t_c the system goes critical and the fluctuations give rise to universal formulas derived in hepth0605041 we also discuss the issue of so6 rsymmetry breaking | [['in', 'the', 'study', 'of', 'the', 'small', 'tendimensional', 'schwarzschild', 'blackhole', 'the', 'blackhole', 'to', 'string', 'transition', 'is', 'an', 'important', 'problem', 'in', 'hepth0605041', 'a', 'possible', 'identification', 'is', 'made', 'between', 'the', 'grosswittenwadia', 'gww', 'type', 'thirdorder', 'largen', 'phase', 'transition', 'in', 'the', 'boundary', 'gauge', 'theory', 'and', 'the', 'stringblack', 'hole', 'transition', 'in', 'the', 'bulk', 'in', 'this', 'paper', 'we', 'exhibit', 'the', 'existence', 'of', 'the', 'gww', 'transition', 'by', 'monte', 'carlo', 'simulation', 'in', 'the', 'zero', 'mode', 'bosonic', 'action', 'of', 'the', 'finitetemperature', 'n4', 'sym', 'theory', 'on', 's3', 'exhibiting', 'this', 'transition', 'in', 'the', 'truncated', 'but', 'highly', 'nontrivial', 'gauge', 'theory', 'implies', 'that', 'in', 'the', 'vicinity', 'of', 'the', 'critical', 'temperature', 't_c', 'the', 'system', 'goes', 'critical', 'and', 'the', 'fluctuations', 'give', 'rise', 'to', 'universal', 'formulas', 'derived', 'in', 'hepth0605041', 'we', 'also', 'discuss', 'the', 'issue', 'of', 'so6', 'rsymmetry', 'breaking']] | [-0.1791341568914657, 0.18498423868634234, -0.07453142597238306, 0.07681069825188953, -0.022844772879816906, -0.11890593630911298, 0.05195693509015372, 0.3001311169545941, -0.1761909810779225, -0.2405204357532393, 0.07869979140775263, -0.30262011899260666, -0.18698543198445827, 0.08980931629653738, -0.014248580463840078, 0.04551315213702306, -0.055881891382012924, 0.07377220298547078, -0.16488642577510407, -0.1922298696032968, 0.32950070592723474, 0.02135083914789207, 0.28845681624189645, 0.07273413677613776, 0.055004637050559795, -0.009833565819225893, 0.05830055259035102, -0.019658170922213242, -0.1783104722328536, 0.039100555441843175, 0.2449131150487341, 0.02409636036359838, 0.14314788994731523, -0.4035941446591325, -0.1896887982005895, 0.0836745078025871, 0.17943935037371428, 0.15520769239358306, -0.03683523457914839, -0.2824996694171128, 0.02591642928935838, -0.1863569870215504, -0.1826986366190298, -0.07129030554563183, 0.001214315216722233, -0.1116313353560458, -0.20637922420972535, 0.11734100996429578, 0.04668768579062043, 0.042444537072872913, -0.04830450351553492, -0.023347635032460408, -0.047300957972888184, 0.09619117275412593, 0.1291789459798313, 0.06303288987172502, 0.10174563125621121, -0.18015679331230267, -0.11004197388151739, 0.3724978129700327, -0.0652755543407632, -0.12668186719646723, 0.15814683173720515, -0.2065875312399526, -0.19029747845777192, 0.16898791027889282, 0.11021577282573934, 0.15393007254353216, -0.10218194271085643, 0.18325004762551209, -0.009822029079420163, 0.14219020289063705, 0.04325812759597888, 0.028792369171601384, 0.247789424969306, 0.14857296313808746, 0.01881240331959136, 0.20509030349051752, -0.023618731381637708, -0.1721489429400506, -0.37149937228620555, -0.12483393323232084, -0.15653242777808993, 0.0968614074190249, -0.15813940401094137, -0.2385039225635471, 0.3439393381259459, 0.18733022966179527, 0.17647444713125085, 0.026192067445357556, 0.17836915039527818, 0.16271562553832636, 0.013413702669952596, 0.043834310236285215, 0.29330463994670064, 0.17462759664743951, 0.11196094369828827, -0.31835013805074663, -0.06932156954054572, 0.17144155760976573] |
710.5874 | Graphical models for marked point processes based on local independence | A new class of graphical models capturing the dependence structure of events
that occur in time is proposed. The graphs represent so-called local
independences, meaning that the intensities of certain types of events are
independent of some (but not necessarily all) events in the past. This dynamic
concept of independence is asymmetric, similar to Granger non-causality, so
that the corresponding local independence graphs differ considerably from
classical graphical models. Hence a new notion of graph separation, called
delta-separation, is introduced and implications for the underlying model as
well as for likelihood inference are explored. Benefits regarding facilitation
of reasoning about and understanding of dynamic dependencies as well as
computational simplifications are discussed.
| math.ST stat.TH | a new class of graphical models capturing the dependence structure of events that occur in time is proposed the graphs represent socalled local independences meaning that the intensities of certain types of events are independent of some but not necessarily all events in the past this dynamic concept of independence is asymmetric similar to granger noncausality so that the corresponding local independence graphs differ considerably from classical graphical models hence a new notion of graph separation called deltaseparation is introduced and implications for the underlying model as well as for likelihood inference are explored benefits regarding facilitation of reasoning about and understanding of dynamic dependencies as well as computational simplifications are discussed | [['a', 'new', 'class', 'of', 'graphical', 'models', 'capturing', 'the', 'dependence', 'structure', 'of', 'events', 'that', 'occur', 'in', 'time', 'is', 'proposed', 'the', 'graphs', 'represent', 'socalled', 'local', 'independences', 'meaning', 'that', 'the', 'intensities', 'of', 'certain', 'types', 'of', 'events', 'are', 'independent', 'of', 'some', 'but', 'not', 'necessarily', 'all', 'events', 'in', 'the', 'past', 'this', 'dynamic', 'concept', 'of', 'independence', 'is', 'asymmetric', 'similar', 'to', 'granger', 'noncausality', 'so', 'that', 'the', 'corresponding', 'local', 'independence', 'graphs', 'differ', 'considerably', 'from', 'classical', 'graphical', 'models', 'hence', 'a', 'new', 'notion', 'of', 'graph', 'separation', 'called', 'deltaseparation', 'is', 'introduced', 'and', 'implications', 'for', 'the', 'underlying', 'model', 'as', 'well', 'as', 'for', 'likelihood', 'inference', 'are', 'explored', 'benefits', 'regarding', 'facilitation', 'of', 'reasoning', 'about', 'and', 'understanding', 'of', 'dynamic', 'dependencies', 'as', 'well', 'as', 'computational', 'simplifications', 'are', 'discussed']] | [-0.0893248326359065, 0.0989343275657964, -0.0835361581186655, 0.15977091335708293, -0.1434243278124848, -0.12395943248191395, 0.00968686950934195, 0.36363671297157135, -0.2914768300849844, -0.349170268018235, 0.09657836444612995, -0.21769318542115995, -0.187970420630934, 0.16194434076975528, -0.08131656891808987, 0.027977081632392632, 0.03840946976665978, 0.06731275737134589, -0.06705464549605979, -0.20033428752884008, 0.2929830411071512, 0.0672023921768676, 0.2755532276959301, 0.037724127229470925, 0.10880466931507932, 0.040625526903297855, -0.06041982553706311, 0.0903521920313119, -0.08603916192936725, 0.10380959664765108, 0.25668909728217937, 0.20607865533233266, 0.2730460539648964, -0.4022607079262401, -0.2742087131382914, 0.12147974280162237, 0.10411090829602636, 0.07628955006565866, 0.016557550717455644, -0.26844518446271215, 0.07451447080988605, -0.15803687127206373, -0.06170835984379959, -0.08209035768874225, 0.03601594873376795, 0.06684956316173345, -0.25755736969572884, 0.08934909420775937, 0.1539658265091848, 0.0850378375601124, -0.003130886913486966, -0.12312419671011535, -0.031609268777223455, 0.12068556051969796, 0.0481455558585842, -0.05407989749198293, 0.11587555886053287, -0.14394761042812051, -0.18628959481075807, 0.3550059402797807, 0.02326120680978371, -0.1845231942773738, 0.2110783757939767, -0.10522277957784969, -0.19374608705743207, 0.0972182356861529, 0.16448891678036334, 0.10637786647573381, -0.16740961341021648, 0.06845412691027296, -0.0484990519513418, 0.11562895035656455, 0.0830475287805605, 0.09544403577089175, 0.19182149924941966, 0.1729079687187599, 0.03501114537016497, 0.11678234759512618, -0.03202626791254089, -0.1606323440550818, -0.3254660517480728, -0.1100531499009571, -0.15399741342916312, -0.017157863464645897, -0.13355417108673998, -0.20715398863293566, 0.3975640689316499, 0.1925347250155257, 0.21548208341354858, 0.0992418328543437, 0.2474349332860092, 0.08084261631760914, 0.07513544052788937, 0.07268419543381881, 0.18065821648463146, 0.15142567788024205, 0.07534730725560908, -0.13338110808006212, 0.19210307813786506, 0.030170434186033702] |
710.5875 | On Wess-Zumino terms of Brane-Antibrane systems | We calculate the disk level S-matrix element of one closed string RR field,
two open string tachyons and one gauge field in type II superstring theory. An
expansion for the S-matrix element has been found that its four leading order
terms are reproduced exactly by the symmetric trace tachyon DBI and the
Wess-Zumino actions of D-brane-anti-D-brane systems. Using this consistency, we
have also found the first higher derivative correction to the some of the WZ
terms.
| hep-th | we calculate the disk level smatrix element of one closed string rr field two open string tachyons and one gauge field in type ii superstring theory an expansion for the smatrix element has been found that its four leading order terms are reproduced exactly by the symmetric trace tachyon dbi and the wesszumino actions of dbraneantidbrane systems using this consistency we have also found the first higher derivative correction to the some of the wz terms | [['we', 'calculate', 'the', 'disk', 'level', 'smatrix', 'element', 'of', 'one', 'closed', 'string', 'rr', 'field', 'two', 'open', 'string', 'tachyons', 'and', 'one', 'gauge', 'field', 'in', 'type', 'ii', 'superstring', 'theory', 'an', 'expansion', 'for', 'the', 'smatrix', 'element', 'has', 'been', 'found', 'that', 'its', 'four', 'leading', 'order', 'terms', 'are', 'reproduced', 'exactly', 'by', 'the', 'symmetric', 'trace', 'tachyon', 'dbi', 'and', 'the', 'wesszumino', 'actions', 'of', 'dbraneantidbrane', 'systems', 'using', 'this', 'consistency', 'we', 'have', 'also', 'found', 'the', 'first', 'higher', 'derivative', 'correction', 'to', 'the', 'some', 'of', 'the', 'wz', 'terms']] | [-0.14820142545565768, 0.11342910258884474, -0.08053903934993095, 0.13513827960368394, -0.06256445127196218, -0.14377164023340142, -0.035834719575512666, 0.3133431515705429, -0.1827044022563649, -0.2388416561956738, 0.08843043750905628, -0.2647651560898674, -0.14168972786099307, 0.10781058494467288, -0.03101815820034397, 0.013594048294563484, 0.005644013449598692, 0.1432635558425988, -0.08286297568548961, -0.331099860161837, 0.33119010854831066, -0.022576022709376718, 0.21212936631146526, 0.016470298477399507, 0.09411730948762086, -0.05436264515217198, -0.018176078367488163, -0.0025701592737612756, -0.10140311107467201, 0.11777167617478163, 0.19336090583390997, 0.06305238474344246, 0.1281558164199324, -0.44935587516642717, -0.22477073318900934, 0.07375410663601208, 0.2038463775350369, 0.127151733362361, -0.0054414991632496055, -0.24220888539658567, 0.08699411018383935, -0.22381157133924334, -0.18221622797519607, -0.06087050566106642, 0.03335808347726829, -0.0924107013025174, -0.20856537816948012, 0.04640566061004249, -0.032968657802006134, 0.04974616375310641, -0.06989350196396883, -0.10744828149970424, -0.03174009996061949, 0.11034769701501845, 0.11634011657320355, 0.09763481933202313, 0.08215630090623897, -0.1808673296166633, -0.1511592251910387, 0.3848413593674961, -0.14191281400455505, -0.20514832297340035, 0.11595913308280471, -0.15026389471696397, -0.16585610765277556, 0.1102136296881805, 0.02233552299194822, 0.11589933690955054, -0.20821337372456727, 0.23068002222785972, 0.037390849957438674, 0.11098442177324996, 0.13684467062672698, 0.05166366692068741, 0.22261426502863238, 0.033186493527242227, -0.025925803926503777, 0.11292416302144136, -0.06159881151918518, -0.11673119224264826, -0.433172756756999, -0.15116496844903418, -0.07092159673859562, 0.045108023614279534, -0.14707275315174084, -0.2181398800672277, 0.37794299330562353, 0.08938528827734683, 0.10873392636054441, 0.0351178647466249, 0.21716050156637243, 0.19877735672420577, 0.08931974690916065, 0.08056547291772931, 0.2553639103506085, 0.17077516337035617, 0.04880249296854201, -0.3041533198403685, -0.0545296964394909, 0.1879601797554642] |
710.5876 | Base loci of linear systems and the Waring problem | Waring problem for homogeneus forms asks for additive decomposition of a form
$f$ into powers of linear forms. A classical problem is to determine when such
a decomposition is unique. In this note I refine the work in
arXiv:math/0406288v1 and answer this question under a divisibility assumption.
To do this I translate the algebraic statement into a geometric one concerning
the base loci of linear systems of $P^n$ with assigned singularities.
| math.AG | waring problem for homogeneus forms asks for additive decomposition of a form f into powers of linear forms a classical problem is to determine when such a decomposition is unique in this note i refine the work in arxivmath0406288v1 and answer this question under a divisibility assumption to do this i translate the algebraic statement into a geometric one concerning the base loci of linear systems of pn with assigned singularities | [['waring', 'problem', 'for', 'homogeneus', 'forms', 'asks', 'for', 'additive', 'decomposition', 'of', 'a', 'form', 'f', 'into', 'powers', 'of', 'linear', 'forms', 'a', 'classical', 'problem', 'is', 'to', 'determine', 'when', 'such', 'a', 'decomposition', 'is', 'unique', 'in', 'this', 'note', 'i', 'refine', 'the', 'work', 'in', 'arxivmath0406288v1', 'and', 'answer', 'this', 'question', 'under', 'a', 'divisibility', 'assumption', 'to', 'do', 'this', 'i', 'translate', 'the', 'algebraic', 'statement', 'into', 'a', 'geometric', 'one', 'concerning', 'the', 'base', 'loci', 'of', 'linear', 'systems', 'of', 'pn', 'with', 'assigned', 'singularities']] | [-0.15704209974833896, -0.00229480206700308, -0.13918996282986232, 0.0576388418192177, -0.12262374157352107, -0.1496082015801221, 0.05513780064065941, 0.26963593866676094, -0.3585316068825445, -0.21909673490694592, 0.09266134474310092, -0.23248481561562845, -0.15501699476901973, 0.16691023618415265, -0.1277592624737216, 0.009467832504638604, 0.05137900443681117, 0.07710663310052561, -0.06308394776258086, -0.2764827670263393, 0.4084662605609213, -0.054217149603313634, 0.1825108472923083, 0.035557720275496, 0.12026306743334447, 0.029706815630197524, -0.031427244862009374, 0.013777625933289527, -0.1636727695020714, 0.1445964349267472, 0.3128221719292924, 0.15878467831893692, 0.29524815889474537, -0.3845599614615951, -0.15957108835157538, 0.17063973894608872, 0.11854931891762785, 0.07392325079334634, 0.0196877609805337, -0.1637814588312592, 0.14399884340486357, -0.10875100933148392, -0.14290616834270103, -0.013510975388011761, 0.05680036818874734, -0.019478508909898145, -0.3105876021552831, -0.00987064457897629, 0.19049889016896487, 0.0863921443266528, -0.09404479106888175, -0.12056470044855294, 0.06605121104844978, 0.07748681936022227, 0.024531016928384424, 0.013510202421873277, 0.02749670115299523, -0.10797237387658762, -0.0857118029679571, 0.4033762880734035, -0.02473093776165375, -0.2602031866620694, 0.1277933308588607, -0.12328637963426965, -0.20513678317157819, 0.09940011327021889, 0.14813946765581412, 0.11369570652688188, -0.09655017227237944, 0.14960036761975581, -0.1235358207619616, 0.12907000852615705, 0.1325509230473212, -0.00037212769633957317, 0.18509878551787032, 0.07471407446677664, 0.09341030573538904, 0.16797506685501762, 0.030903442644713713, -0.024445450412375586, -0.28923431571040836, -0.21415865585607077, -0.13812920276873877, 0.16122115166051246, -0.046401169530041184, -0.1962525606953672, 0.3972199322223397, 0.08657889302537244, 0.2222819788599736, 0.06920699549040624, 0.25867793706378767, 0.12279780338119184, -0.0019128675838666303, 0.037196633871644735, 0.12223930550473076, 0.20274447836647078, 0.001863699805523668, -0.15997368984722665, 0.05458686396679176, 0.13272532389632294] |
710.5877 | Hecke-Clifford algebras and spin Hecke algebras II: the rational double
affine type | The notion of rational spin double affine Hecke algebras (sDaHa) and rational
double affine Hecke-Clifford algebras (DaHCa) associated to classical Weyl
groups are introduced. The basic properties of these algebras such as the PBW
basis and Dunkl operator representations are established. An algebra
isomorphism relating the rational DaHCa to the rational sDaHa is obtained. We
further develop a link between the usual rational Cherednik algebra and the
rational sDaHa by introducing a notion of rational covering double affine Hecke
algebras.
| math.RT math.QA | the notion of rational spin double affine hecke algebras sdaha and rational double affine heckeclifford algebras dahca associated to classical weyl groups are introduced the basic properties of these algebras such as the pbw basis and dunkl operator representations are established an algebra isomorphism relating the rational dahca to the rational sdaha is obtained we further develop a link between the usual rational cherednik algebra and the rational sdaha by introducing a notion of rational covering double affine hecke algebras | [['the', 'notion', 'of', 'rational', 'spin', 'double', 'affine', 'hecke', 'algebras', 'sdaha', 'and', 'rational', 'double', 'affine', 'heckeclifford', 'algebras', 'dahca', 'associated', 'to', 'classical', 'weyl', 'groups', 'are', 'introduced', 'the', 'basic', 'properties', 'of', 'these', 'algebras', 'such', 'as', 'the', 'pbw', 'basis', 'and', 'dunkl', 'operator', 'representations', 'are', 'established', 'an', 'algebra', 'isomorphism', 'relating', 'the', 'rational', 'dahca', 'to', 'the', 'rational', 'sdaha', 'is', 'obtained', 'we', 'further', 'develop', 'a', 'link', 'between', 'the', 'usual', 'rational', 'cherednik', 'algebra', 'and', 'the', 'rational', 'sdaha', 'by', 'introducing', 'a', 'notion', 'of', 'rational', 'covering', 'double', 'affine', 'hecke', 'algebras']] | [-0.18403128924994513, 0.0527659094586852, -0.07369261139478439, 0.08577155666455674, -0.19341499452144864, -0.2102098413862479, -0.011860706539711175, 0.3100055948090859, -0.49023283664614725, -0.13013262862864977, 0.08581903449241789, -0.21854479608531946, -0.21304160985761347, 0.18797092381506586, -0.1790042850487412, -0.0013791813682287168, -0.029869539113954093, 0.11908678819861215, -0.2072327290661633, -0.2829847488647852, 0.46557002724745333, 0.00857523569646172, 0.21304801150631064, -0.018312305020980347, 0.1263522391120951, 0.08888385695620225, -0.04537925758781151, -0.10079886548173352, -0.17428168050276163, 0.16646976918220902, 0.3781811692393743, 0.0075713868181292825, 0.20209762043594262, -0.3506732378751995, -0.009406134235457731, 0.2248944808752873, 0.20612492403970697, -0.052809070069298074, -0.036163467746705584, -0.26050677004222494, -0.006710285888029597, -0.2646558095450298, -0.20015773753253505, -0.08444118935865565, 0.024294904003349636, 0.04903537573483892, -0.23226178131806544, -0.03251021585833186, 0.09786100671268426, 0.2272809130163529, -0.10486148435694094, -0.11863248971386407, -0.12857643227116802, 0.058167104669010795, -0.14028573971396932, 0.008362561894150881, 0.13976790441367298, -0.06359974764741193, -0.2561068455867756, 0.3153357752121221, 0.0772779407337881, -0.2391729937054408, 0.07498644952041407, -0.18409991474487844, -0.17489340838092643, 0.07624822629926105, -0.029897104375637494, 0.06487461780377018, -0.007200630704084268, 0.21957567286191101, -0.16599876721962714, -0.08257438471534839, 0.11933595676404926, -0.030799713905136555, 0.1481188700649326, 0.004593393407188929, -0.001735231624199794, 0.11200087712122461, 0.09715413462104969, -0.08256085274311212, -0.3801302613499455, -0.19918956583700118, -0.020663173776716948, 0.12774926422832486, -0.12040486473844607, -0.2202352931848369, 0.40565654683189517, 0.020887274989852298, 0.1252120341747426, 0.17735348159495073, 0.13882065530066404, 0.1268520012172536, 0.1608195878469791, -0.07621750282720686, 0.11727066984615074, 0.3517931067916111, -0.06336511079317485, -0.1430313397760097, -0.057202306761143684, 0.32380204626287407] |
710.5878 | Adler function in the analytic approach to QCD | The low energy behavior of the Adler function D(Q^2) is studied by employing
recently derived integral representation for the latter. This representation
embodies the nonperturbative constraints on D(Q^2), in particular, it retains
the effects due to the nonvanishing pion mass. The Adler function is calculated
within the developed approach by making use of its perturbative approximation
as the only additional input. The obtained result agrees with the experimental
prediction for the Adler function in the entire energy range and possesses
remarkable stability with respect to the higher loop corrections.
| hep-ph hep-th | the low energy behavior of the adler function dq2 is studied by employing recently derived integral representation for the latter this representation embodies the nonperturbative constraints on dq2 in particular it retains the effects due to the nonvanishing pion mass the adler function is calculated within the developed approach by making use of its perturbative approximation as the only additional input the obtained result agrees with the experimental prediction for the adler function in the entire energy range and possesses remarkable stability with respect to the higher loop corrections | [['the', 'low', 'energy', 'behavior', 'of', 'the', 'adler', 'function', 'dq2', 'is', 'studied', 'by', 'employing', 'recently', 'derived', 'integral', 'representation', 'for', 'the', 'latter', 'this', 'representation', 'embodies', 'the', 'nonperturbative', 'constraints', 'on', 'dq2', 'in', 'particular', 'it', 'retains', 'the', 'effects', 'due', 'to', 'the', 'nonvanishing', 'pion', 'mass', 'the', 'adler', 'function', 'is', 'calculated', 'within', 'the', 'developed', 'approach', 'by', 'making', 'use', 'of', 'its', 'perturbative', 'approximation', 'as', 'the', 'only', 'additional', 'input', 'the', 'obtained', 'result', 'agrees', 'with', 'the', 'experimental', 'prediction', 'for', 'the', 'adler', 'function', 'in', 'the', 'entire', 'energy', 'range', 'and', 'possesses', 'remarkable', 'stability', 'with', 'respect', 'to', 'the', 'higher', 'loop', 'corrections']] | [-0.08767579346790574, 0.0705414122347249, -0.10793878193526121, 0.10796307358142575, -0.051617771379252, -0.06332983901682362, 0.04059174035288644, 0.2954654749168941, -0.2078330594669567, -0.29702427651369523, 0.05160190239601005, -0.2593693697532074, -0.10449595210466826, 0.17047816718499478, -0.0020536353754068023, 0.09120781316220489, 0.018552264818670543, 0.06370247287278095, -0.11633894076633654, -0.1884625950838659, 0.33233932645342656, 0.09707998183001293, 0.27914318814088873, 0.12950867512315678, 0.13457811277443438, 0.07015559546979082, -0.04947684800482533, -0.024145018340747677, -0.1192504712001138, 0.08548107513964302, 0.18310865105307672, 0.045117616836567606, 0.20844445373402554, -0.33388438033923673, -0.2235355588471454, 0.03721581330899609, 0.11092136710296187, 0.06663708297242776, 0.009060349664650857, -0.26158476492201677, 0.08852629352026106, -0.19831637546336384, -0.1783046991449226, -0.12360690941176053, 0.00011678119033072772, -0.005100119824971209, -0.2942382411905721, 0.09736930987839534, -0.0031999044272044068, -0.02642673152509365, -0.08492988817985013, -0.1618521406911732, -0.050516489859189044, 0.11779394430851334, 0.09929140001598201, 0.11192593347867218, 0.0770228100061584, -0.19430800126813186, -0.07032615695609136, 0.39159459055642065, -0.0809447422435277, -0.18164351523142266, 0.11972094098304849, -0.17926107269575756, -0.10178003902285454, 0.13638221898921923, 0.06162297331958256, 0.07853725064922584, -0.15068459292099382, 0.16332982778987387, -0.020201009054657784, 0.10546015886056205, 0.07256653203022027, 0.05092462504889523, 0.13796436589399583, 0.14946253780076763, -0.022360757066543852, 0.14691133564861303, -0.03497526355433079, -0.1318933356375423, -0.3367351379580377, -0.07313789565409168, -0.1963397485068005, 0.02900435576696744, -0.08988996655820854, -0.15729997187769146, 0.40463937184867566, 0.1080297078895435, 0.22473286529689024, 0.07385355854679025, 0.3177798313580537, 0.22287754127834244, 0.1230419349694478, 0.025211834851024528, 0.2887694183109182, 0.17647578766349745, 0.11103325698189856, -0.28067003605426866, 0.06775356529364257, 0.10665126750768905] |
710.5879 | Some aspects of extreme value theory under serial dependence | On the occasion of Laurens de Haan's 70th birthday, we discuss two aspects of
the statistical inference on the extreme value behavior of time series with a
particular emphasis on his important contributions. First, the performance of a
direct marginal tail analysis is compared with that of a model-based approach
using an analysis of residuals. Second, the importance of the extremal index as
a measure of the serial extremal dependence is discussed by the example of
solutions of a stochastic recurrence equation.
| math.ST math.PR stat.ME stat.TH | on the occasion of laurens de haans 70th birthday we discuss two aspects of the statistical inference on the extreme value behavior of time series with a particular emphasis on his important contributions first the performance of a direct marginal tail analysis is compared with that of a modelbased approach using an analysis of residuals second the importance of the extremal index as a measure of the serial extremal dependence is discussed by the example of solutions of a stochastic recurrence equation | [['on', 'the', 'occasion', 'of', 'laurens', 'de', 'haans', '70th', 'birthday', 'we', 'discuss', 'two', 'aspects', 'of', 'the', 'statistical', 'inference', 'on', 'the', 'extreme', 'value', 'behavior', 'of', 'time', 'series', 'with', 'a', 'particular', 'emphasis', 'on', 'his', 'important', 'contributions', 'first', 'the', 'performance', 'of', 'a', 'direct', 'marginal', 'tail', 'analysis', 'is', 'compared', 'with', 'that', 'of', 'a', 'modelbased', 'approach', 'using', 'an', 'analysis', 'of', 'residuals', 'second', 'the', 'importance', 'of', 'the', 'extremal', 'index', 'as', 'a', 'measure', 'of', 'the', 'serial', 'extremal', 'dependence', 'is', 'discussed', 'by', 'the', 'example', 'of', 'solutions', 'of', 'a', 'stochastic', 'recurrence', 'equation']] | [-0.10958188304815579, 0.004828069653875126, -0.1492782248598006, 0.08631330810021609, -0.06939194827444023, -0.09459139762538267, 0.039050572390817564, 0.28870921051934545, -0.19740815955087726, -0.2748208650974212, 0.17174648908886736, -0.3075471900196539, -0.16546269511964953, 0.22021798963118114, -0.057729202305415166, 0.05594898880470866, 0.058349931336663385, 0.07836219602850852, -0.07019974665865762, -0.23700293519154744, 0.32517875718343775, 0.10557002497170075, 0.2878262451964856, 0.02430961901942889, 0.13081906785337646, 0.035578863287091624, -0.066779211393477, 0.018467312187163368, -0.14876750604593394, 0.15329103296576643, 0.19873505444150924, 0.1275189319499021, 0.33613745916496823, -0.3544561881112096, -0.14852360082951224, 0.06465854095640006, 0.06755213973789338, 0.045730546668723775, -0.04131360703728587, -0.26737515030451764, 0.015260246047681128, -0.16552598564454388, -0.12053537476710101, -0.026244449210755617, 0.04154228612228676, 0.05849184192153683, -0.20583339819661628, 0.09582824010493947, 0.09532439617877021, 0.0615160462251048, -0.03060241883482646, -0.13879172762074035, 0.02782849594950676, 0.0934480653880279, 0.12110850973238732, -0.03886243901617917, 0.07203043110231742, -0.11555224040201233, -0.16858367474726688, 0.3564700801040471, -0.1019931968278539, -0.1534804989595288, 0.13007351806111359, -0.13703112038611262, -0.18060619054206958, 0.0743984446550409, 0.18535069573417673, 0.1524441358062042, -0.12165597200186716, 0.10464520310914074, -0.018840926935045438, 0.1635852437408894, 0.0748876343857796, -0.008708199112457626, 0.1828371698272495, 0.1999026249697501, 0.02120281313833447, 0.15424016635451052, -0.08530917761697905, -0.11079683730717932, -0.3251857189576567, -0.18392701227401878, -0.17113352674461993, 0.061063516623467026, -0.13566798758570875, -0.19444654896901345, 0.43662121176811647, 0.14414199040397818, 0.18893464687452824, 0.05033089770119131, 0.27761507197570656, 0.14627914631273597, -0.053689603462389865, 0.017250284153025274, 0.2111140818875513, 0.14079593147013197, 0.10049123445203827, -0.2343980527837203, 0.11441305099791031, 0.1068030979949981] |
710.588 | 2+1 flavour Domain Wall Fermion simulations by the RBC and UKQCD
collaborations | We review simulations of dynamical domain wall fermions at a fixed inverse
lattice spacing of 1.73GeV and with pion masses as light as 330MeV and spatial
dimensions as large as 2.7fm performed by the RBC and UKQCD collaborations.
These results include pseudoscalar masses and decay constants and low energy
constants of the chiral effective lagrangian. We also review results for the
neutral kaon mixing amplitude $B_K$, the Kl3 form factor, pseudoscalar meson
structure, and vector meson decay constants. In the baryon sector we review
results for the spectrum, and nucleon form factors and structure functions.
Highlights of our programme include preliminary quark masses, and
determinations of $V_{us}$ from both $f_K/f_\pi$ and from Kl3, and an updated
result for $B_K$. We find significant finite volume effects in the nucleon
axial charge $g_A$ for our $m_\pi=330$ MeV ensemble on a $(2.7 {\rm fm})^3$
lattice, and highlight the importance of large physical volumes for non-trivial
nucleon physics.
| hep-lat | we review simulations of dynamical domain wall fermions at a fixed inverse lattice spacing of 173gev and with pion masses as light as 330mev and spatial dimensions as large as 27fm performed by the rbc and ukqcd collaborations these results include pseudoscalar masses and decay constants and low energy constants of the chiral effective lagrangian we also review results for the neutral kaon mixing amplitude b_k the kl3 form factor pseudoscalar meson structure and vector meson decay constants in the baryon sector we review results for the spectrum and nucleon form factors and structure functions highlights of our programme include preliminary quark masses and determinations of v_us from both f_kf_pi and from kl3 and an updated result for b_k we find significant finite volume effects in the nucleon axial charge g_a for our m_pi330 mev ensemble on a 27 rm fm3 lattice and highlight the importance of large physical volumes for nontrivial nucleon physics | [['we', 'review', 'simulations', 'of', 'dynamical', 'domain', 'wall', 'fermions', 'at', 'a', 'fixed', 'inverse', 'lattice', 'spacing', 'of', '173gev', 'and', 'with', 'pion', 'masses', 'as', 'light', 'as', '330mev', 'and', 'spatial', 'dimensions', 'as', 'large', 'as', '27fm', 'performed', 'by', 'the', 'rbc', 'and', 'ukqcd', 'collaborations', 'these', 'results', 'include', 'pseudoscalar', 'masses', 'and', 'decay', 'constants', 'and', 'low', 'energy', 'constants', 'of', 'the', 'chiral', 'effective', 'lagrangian', 'we', 'also', 'review', 'results', 'for', 'the', 'neutral', 'kaon', 'mixing', 'amplitude', 'b_k', 'the', 'kl3', 'form', 'factor', 'pseudoscalar', 'meson', 'structure', 'and', 'vector', 'meson', 'decay', 'constants', 'in', 'the', 'baryon', 'sector', 'we', 'review', 'results', 'for', 'the', 'spectrum', 'and', 'nucleon', 'form', 'factors', 'and', 'structure', 'functions', 'highlights', 'of', 'our', 'programme', 'include', 'preliminary', 'quark', 'masses', 'and', 'determinations', 'of', 'v_us', 'from', 'both', 'f_kf_pi', 'and', 'from', 'kl3', 'and', 'an', 'updated', 'result', 'for', 'b_k', 'we', 'find', 'significant', 'finite', 'volume', 'effects', 'in', 'the', 'nucleon', 'axial', 'charge', 'g_a', 'for', 'our', 'm_pi330', 'mev', 'ensemble', 'on', 'a', '27', 'rm', 'fm3', 'lattice', 'and', 'highlight', 'the', 'importance', 'of', 'large', 'physical', 'volumes', 'for', 'nontrivial', 'nucleon', 'physics']] | [-0.07077116690772145, 0.2985513966453398, -0.02590099926754575, 0.09509953036659251, -0.04540038805728392, -0.0455566474954953, 0.11661927278711166, 0.35149048332517085, -0.15179862362320387, -0.25049907676140337, 0.025040207382469242, -0.3127937368362358, -0.04431982605264669, 0.12855595162469208, 0.10902791142794549, 0.10425553595690105, 0.08968688575336464, 0.002625066364998929, -0.09103757994077903, -0.16955980660522504, 0.34033942282487833, -0.004061598471659971, 0.22022981253011445, 0.21858006310771758, 0.03386434413933832, 0.0049733939430504845, -0.08689709700258008, -0.07779269626189489, -0.19591618789012213, 0.07165438333207644, 0.15479723279981714, 0.052905486739052175, 0.1118834431736583, -0.35189323436919184, -0.12417720605184226, 0.06578985431942304, 0.15813141122711577, 0.12629478638011374, -0.07251509773318264, -0.30168039181061385, 0.08056224984619276, -0.19358557041146254, -0.17350052524125203, -0.17686136331298927, 0.015085174062972473, -0.013376129119454785, -0.3510959631614816, 0.1336969000162514, -0.08375573685292406, 0.08985611026429596, -0.06827065236192491, -0.33681724009741293, 0.008942704139228323, 0.1024799771663598, 0.142956120182613, 0.10079422077825784, 0.17163479684064728, -0.18090701477118082, -0.11290753076900728, 0.44272898070783795, -0.09401562937618062, -0.17857320826250975, 0.0733697465774113, -0.17126114013004362, -0.14634154425737889, 0.08335739775180914, 0.22191251913012056, 0.026052087229848104, -0.14269637889044948, 0.10602086317732373, -0.070940412482933, 0.2069380479132585, 0.07991834012423887, 0.08981173615106136, 0.2060501982310885, 0.15595693713188857, -0.03903496029517172, 0.010723143614948066, -0.04069305707296161, -0.08114420855724204, -0.3734583644392459, -0.0751384083353179, -0.1319712353824319, 0.09244730378084473, -0.16079062147649606, -0.08059146989896697, 0.3766694527615695, 0.05795060262990821, 0.2381949701291313, 0.017334728360813307, 0.267772430137388, 0.02225416275139555, 0.11263733418921842, 0.06220767915242744, 0.2473076902510672, 0.21975009435769416, 0.13458006932571726, -0.29346309581122015, -0.11815141568781416, 0.0926131536375339] |
710.5881 | Ultra-high-time Resolution Observations of Radio Bursts on AD Leonis | We report observations of a radio burst that occurred on the flare star AD
Leonis over a frequency range of 1120-1620 MHz (lambda ~18-27 cm). These
observations, made by the 305m telescope of the Arecibo Observatory, are unique
in providing the highest time resolution (1 ms) and broadest spectral coverage
(Delta nu/nu =0.36) of a stellar radio burst yet obtained. The burst was
observed on 2005 April 9. It produced a peak flux density of ~500 mJy and it
was essentially 100% right circularly polarized. The dynamic spectrum shows a
rich variety of structure: patchy emission, diffuse bands, and narrowband,
fast-drift striae. Focusing our attention on the fast-drift striae, we consider
the possible role of dispersion and find that it requires rather special
conditions in the source to be a significant factor. We suggest that the
emission may be due to the cyclotron maser instability, a mechanism known to
occur in planetary magnetospheres. We briefly explore implications of this
possibility.
| astro-ph | we report observations of a radio burst that occurred on the flare star ad leonis over a frequency range of 11201620 mhz lambda 1827 cm these observations made by the 305m telescope of the arecibo observatory are unique in providing the highest time resolution 1 ms and broadest spectral coverage delta nunu 036 of a stellar radio burst yet obtained the burst was observed on 2005 april 9 it produced a peak flux density of 500 mjy and it was essentially 100 right circularly polarized the dynamic spectrum shows a rich variety of structure patchy emission diffuse bands and narrowband fastdrift striae focusing our attention on the fastdrift striae we consider the possible role of dispersion and find that it requires rather special conditions in the source to be a significant factor we suggest that the emission may be due to the cyclotron maser instability a mechanism known to occur in planetary magnetospheres we briefly explore implications of this possibility | [['we', 'report', 'observations', 'of', 'a', 'radio', 'burst', 'that', 'occurred', 'on', 'the', 'flare', 'star', 'ad', 'leonis', 'over', 'a', 'frequency', 'range', 'of', '11201620', 'mhz', 'lambda', '1827', 'cm', 'these', 'observations', 'made', 'by', 'the', '305m', 'telescope', 'of', 'the', 'arecibo', 'observatory', 'are', 'unique', 'in', 'providing', 'the', 'highest', 'time', 'resolution', '1', 'ms', 'and', 'broadest', 'spectral', 'coverage', 'delta', 'nunu', '036', 'of', 'a', 'stellar', 'radio', 'burst', 'yet', 'obtained', 'the', 'burst', 'was', 'observed', 'on', '2005', 'april', '9', 'it', 'produced', 'a', 'peak', 'flux', 'density', 'of', '500', 'mjy', 'and', 'it', 'was', 'essentially', '100', 'right', 'circularly', 'polarized', 'the', 'dynamic', 'spectrum', 'shows', 'a', 'rich', 'variety', 'of', 'structure', 'patchy', 'emission', 'diffuse', 'bands', 'and', 'narrowband', 'fastdrift', 'striae', 'focusing', 'our', 'attention', 'on', 'the', 'fastdrift', 'striae', 'we', 'consider', 'the', 'possible', 'role', 'of', 'dispersion', 'and', 'find', 'that', 'it', 'requires', 'rather', 'special', 'conditions', 'in', 'the', 'source', 'to', 'be', 'a', 'significant', 'factor', 'we', 'suggest', 'that', 'the', 'emission', 'may', 'be', 'due', 'to', 'the', 'cyclotron', 'maser', 'instability', 'a', 'mechanism', 'known', 'to', 'occur', 'in', 'planetary', 'magnetospheres', 'we', 'briefly', 'explore', 'implications', 'of', 'this', 'possibility']] | [-0.1279021411249707, 0.12082522149005928, -0.0241272557122668, 0.09360508475110005, -0.12643765505409138, -0.08855908207372769, 0.06873604609578285, 0.4650559046733304, -0.1840907428765072, -0.3292447319254279, 0.08886919288982786, -0.25434481721728713, -0.08727265777851238, 0.22809670578231508, 0.004878685018926297, -0.04825385803585204, 0.07212517690645683, -0.06962095958666888, -0.010296649468327585, -0.18436199466627584, 0.24752555728403838, 0.1417804094406325, 0.22584741815497056, 0.05271250703960544, 0.09221993867050177, -0.0904402599154544, -0.07657207504541572, -0.06724711492915386, -0.1266066016264259, 0.027880842569386645, 0.2316683499719479, 0.12016009324107249, 0.20175578336248984, -0.35464721804180144, -0.23023791944552446, 0.06241979337425144, 0.11010808422253614, 0.001136365841558707, -0.03373367123162292, -0.2951325818650284, 0.05721413483367296, -0.19821915744493404, -0.15697747383723562, 0.09744656952493384, 0.06981192194159676, 0.02748934981126174, -0.21644478079712065, 0.08075396287688436, 0.02410170096800071, 0.08016491900403169, -0.09057202916401995, -0.09404830907547623, -0.015817014772134524, 0.052191901298931, 0.018782725296299554, 0.06975024383084602, 0.12097102176667478, -0.1044893080687865, -0.059181650659748876, 0.37553454022971716, -0.0794217860466748, 0.020053081308145943, 0.19061745891242093, -0.2551804184445045, -0.17850770497015156, 0.21447017392123105, 0.14157372224583942, 0.09579116097833, -0.11352265996048695, 0.030473365362019004, -0.031486690430989804, 0.23414540331980577, 0.10478432311049704, 0.0646710192891564, 0.2764077452406779, 0.13840980388651714, 0.03124242346241789, 0.1070995231528046, -0.25951324250554936, -0.01087584949293285, -0.23146131960382252, -0.0692998328181745, -0.11782622214775744, 0.12920327547949711, -0.05075975070208159, -0.10516183206272668, 0.4280840831474875, 0.11284350199293955, 0.17949326169155772, 0.008727587570594449, 0.23496568560858005, 0.10634833503201159, 0.0744443171719948, 0.09284207988354676, 0.3153970688698614, 0.135060974694027, 0.14782666332460354, -0.19585124371608473, 0.03193279608217238, -0.052331794987567376] |
710.5882 | Stars and brown dwarfs in the sigma Orionis cluster: the Mayrit
catalogue | The young sigma Orionis cluster is an indispensable basis for understanding
the formation and evolution of stars, brown dwarfs and planetary-mass objects.
Our knowledge of its stellar population is, however, incomplete. I present the
Mayrit catalogue, that comprises most of the stars and high-mass brown dwarfs
of the cluster. The basis of this work is an optical-near infrared correlation
between the 2MASS and DENIS catalogues in a circular area of radius 30 arcmin
centred on the OB-type binary sigma Ori AB. The analysis is supported on a
bibliographic search of confirmed cluster members with features of youth and on
additional X-ray, mid-infrared and astrometric data. I list 241 sigma Orionis
stars and brown dwarfs with known features of youth, 97 candidate cluster
members (40 are new) and 115 back- and foreground sources in the survey area.
The 338 cluster members and member candidates constitute the Mayrit catalogue.
This catalogue is a suitable input for studying the spatial ditribution,
multiplicity, properties and frequency of discs and the complete mass function
of sigma Orionis.
| astro-ph | the young sigma orionis cluster is an indispensable basis for understanding the formation and evolution of stars brown dwarfs and planetarymass objects our knowledge of its stellar population is however incomplete i present the mayrit catalogue that comprises most of the stars and highmass brown dwarfs of the cluster the basis of this work is an opticalnear infrared correlation between the 2mass and denis catalogues in a circular area of radius 30 arcmin centred on the obtype binary sigma ori ab the analysis is supported on a bibliographic search of confirmed cluster members with features of youth and on additional xray midinfrared and astrometric data i list 241 sigma orionis stars and brown dwarfs with known features of youth 97 candidate cluster members 40 are new and 115 back and foreground sources in the survey area the 338 cluster members and member candidates constitute the mayrit catalogue this catalogue is a suitable input for studying the spatial ditribution multiplicity properties and frequency of discs and the complete mass function of sigma orionis | [['the', 'young', 'sigma', 'orionis', 'cluster', 'is', 'an', 'indispensable', 'basis', 'for', 'understanding', 'the', 'formation', 'and', 'evolution', 'of', 'stars', 'brown', 'dwarfs', 'and', 'planetarymass', 'objects', 'our', 'knowledge', 'of', 'its', 'stellar', 'population', 'is', 'however', 'incomplete', 'i', 'present', 'the', 'mayrit', 'catalogue', 'that', 'comprises', 'most', 'of', 'the', 'stars', 'and', 'highmass', 'brown', 'dwarfs', 'of', 'the', 'cluster', 'the', 'basis', 'of', 'this', 'work', 'is', 'an', 'opticalnear', 'infrared', 'correlation', 'between', 'the', '2mass', 'and', 'denis', 'catalogues', 'in', 'a', 'circular', 'area', 'of', 'radius', '30', 'arcmin', 'centred', 'on', 'the', 'obtype', 'binary', 'sigma', 'ori', 'ab', 'the', 'analysis', 'is', 'supported', 'on', 'a', 'bibliographic', 'search', 'of', 'confirmed', 'cluster', 'members', 'with', 'features', 'of', 'youth', 'and', 'on', 'additional', 'xray', 'midinfrared', 'and', 'astrometric', 'data', 'i', 'list', '241', 'sigma', 'orionis', 'stars', 'and', 'brown', 'dwarfs', 'with', 'known', 'features', 'of', 'youth', '97', 'candidate', 'cluster', 'members', '40', 'are', 'new', 'and', '115', 'back', 'and', 'foreground', 'sources', 'in', 'the', 'survey', 'area', 'the', '338', 'cluster', 'members', 'and', 'member', 'candidates', 'constitute', 'the', 'mayrit', 'catalogue', 'this', 'catalogue', 'is', 'a', 'suitable', 'input', 'for', 'studying', 'the', 'spatial', 'ditribution', 'multiplicity', 'properties', 'and', 'frequency', 'of', 'discs', 'and', 'the', 'complete', 'mass', 'function', 'of', 'sigma', 'orionis']] | [-0.056055260581224294, 0.06695807055549204, -0.09424877387395691, 0.08076631248492726, -0.16628616070780947, -0.03737737333231476, 0.1258440180424449, 0.38397447223406894, -0.1202512106074421, -0.3691544604330692, 0.041485919151455164, -0.3472651884116795, -0.043552587390369685, 0.1731128551953927, -0.06408650803563813, -0.01976597959752368, 0.13842391124168454, -0.020940879786246303, 0.01198557949879445, -0.3012708024064967, 0.32168011395748014, 0.06248707907967443, 0.08550264840257939, -0.0942480710963177, 0.04769552352792194, -0.07082658093206065, -0.174662281179714, -0.04989527499433174, -0.17062123668493281, 0.051730059806750224, 0.24641822625038234, 0.1575677921003283, 0.24584222835594202, -0.20021463297090905, -0.15174044202877815, -0.0004494236017371593, 0.15739950503975284, -0.012912442421724717, -0.05570092263325594, -0.32444371707361125, 0.12694083441178813, -0.1836906889410213, -0.18972192155901169, 0.06728870481480086, 0.14153342349671347, 0.05678420015922098, -0.20882514461219787, 0.12613741887481558, 0.053954095687977106, 0.1903296233598836, -0.1774355137347092, -0.20243889798930045, -0.05603707024724721, 0.09696563436219274, -0.08447917309714222, 0.1276054353883685, 0.13179549927346754, -0.1789752240373948, -0.06098596216010222, 0.40584624077864856, -0.056265654565216865, 0.012523233293566506, 0.23772388802256522, -0.174556078129383, -0.21082514771436298, 0.08171473357753373, 0.12319001147176983, 0.15550572832580656, -0.226424496233068, 0.030539108812538258, -0.03612580178725144, 0.2450050974378449, 0.04369664091994542, 0.1049125912642583, 0.3681773076359816, 0.1490191292661705, 0.005070824288427396, 0.09932542117826944, -0.31305235113304236, -0.024525284426703747, -0.246586723963129, -0.12109400431603887, -0.1350723582138524, 0.0690145747161465, -0.1321416465436287, -0.16820214246433543, 0.34200221306351986, 0.0610760061062201, 0.15403638060101807, 0.022701204516166865, 0.2208118950596166, 0.044295604077443956, 0.14262993821771383, 0.11998019790883328, 0.25424974861143285, 0.21044810312437326, 0.044148445195047355, -0.20291052257024877, 0.013122359661623662, -0.02116813602705681] |
710.5883 | Surface-induced First Order Transition in Athermal Polymer/Nanoparticle
Blends | We investigate the phase behavior of athermal polymer/nanoparticle blends
near a hard substrate. We apply the density functional theory of Tripathi and
Chapman to these blends. We find a first order phase transition where the
nanoparticles expel the polymer from the surface to form a monolayer. The
transition density depends on the polymer length and the system bulk density.
The effect is due to the packing entropy of the species and configurational
entropy of the polymer. The simplicity of the system allows us to understand
the so-called ``entropic-push'' observed in experiments.
| cond-mat.soft | we investigate the phase behavior of athermal polymernanoparticle blends near a hard substrate we apply the density functional theory of tripathi and chapman to these blends we find a first order phase transition where the nanoparticles expel the polymer from the surface to form a monolayer the transition density depends on the polymer length and the system bulk density the effect is due to the packing entropy of the species and configurational entropy of the polymer the simplicity of the system allows us to understand the socalled entropicpush observed in experiments | [['we', 'investigate', 'the', 'phase', 'behavior', 'of', 'athermal', 'polymernanoparticle', 'blends', 'near', 'a', 'hard', 'substrate', 'we', 'apply', 'the', 'density', 'functional', 'theory', 'of', 'tripathi', 'and', 'chapman', 'to', 'these', 'blends', 'we', 'find', 'a', 'first', 'order', 'phase', 'transition', 'where', 'the', 'nanoparticles', 'expel', 'the', 'polymer', 'from', 'the', 'surface', 'to', 'form', 'a', 'monolayer', 'the', 'transition', 'density', 'depends', 'on', 'the', 'polymer', 'length', 'and', 'the', 'system', 'bulk', 'density', 'the', 'effect', 'is', 'due', 'to', 'the', 'packing', 'entropy', 'of', 'the', 'species', 'and', 'configurational', 'entropy', 'of', 'the', 'polymer', 'the', 'simplicity', 'of', 'the', 'system', 'allows', 'us', 'to', 'understand', 'the', 'socalled', 'entropicpush', 'observed', 'in', 'experiments']] | [-0.10402625795557267, 0.16452649344379702, -0.12311047052757608, 0.008727125861009375, -0.007248890622415476, -0.0769259622786194, 0.07254305420469286, 0.32610007137474084, -0.268905596424722, -0.2599659528221107, 0.03544716777978465, -0.3113495381266047, -0.17286803332519615, 0.07621766657620255, -0.011897565424442291, 0.059641959088751015, -0.04276239541617947, 0.013839354888639516, -0.08701600235783391, -0.16448089361915158, 0.272809250637268, 0.06230674803567429, 0.3042046991797785, 0.11561951184541815, 0.07974781701858673, -0.008809602343373829, 0.06327455386312472, 0.062047099911918244, -0.23974886665948564, 0.11080077508360975, 0.19305760653482543, -0.0033068323973566294, 0.2144119759607646, -0.4554618295075165, -0.22809719257056713, 0.08243461343356305, 0.07606923618457384, 0.1346305547696021, -0.012864564831316885, -0.22920969660497373, 0.042169176978576514, -0.15403617727052835, -0.10913039636280801, -0.04750457835357843, -0.0005559503256032865, 0.03755278116764708, -0.21085431075965363, 0.11047275034555544, 0.054431866062805055, -0.01722381879679031, -0.0919698956325495, -0.06825742978964829, -0.06500724455755617, 0.11804500028697981, 0.07163118414011681, -0.009269291289254196, 0.23496407344419923, -0.12601603031572367, -0.012010356452729966, 0.39278449188503956, -0.05353828211599547, -0.11616644317077265, 0.23487172219384875, -0.1776756127571894, -0.10664929576321608, 0.20386485860993464, 0.16103386903802555, 0.12002852672659274, -0.10815735722685026, 0.06561322852568184, 0.019550143680276556, 0.22993188353462352, 0.04615539980586618, -0.0036607176065444947, 0.21729823517509633, 0.18401783634391095, 0.012932990170601342, 0.2188724445593026, -0.1286527732775236, -0.11981050132049455, -0.2259791208120684, -0.24169895980093214, -0.2099589368949334, 0.03668557902694576, -0.08856274664043061, -0.2083643562367393, 0.36457624346173056, 0.14746374617809327, 0.2095712344886528, 0.04467438214924187, 0.21542956987395884, 0.09392275660195284, 0.03720234219605724, 0.015063796513196495, 0.25750001490943963, 0.19183224309882563, 0.1037507966419475, -0.30026951267953134, 0.09073390652580808, 0.09403634751215577] |
710.5884 | Neutrino Interaction Calculations from MeV to GeV Region | The Quasi-Elastic (QE) contribution of the nuclear inclusive electron model
developed in Nucl. Phys. A627 543 (1997) is extended to the study of
neutrino/antineutrino Charged Current (CC) and Neutral
Current (NC) induced nuclear reactions at intermediate energies.
Long range nuclear (RPA) correlations, Final State Interaction (FSI) and
Coulomb corrections are included within the model. RPA correlations are shown
to play a crucial role in the whole range (100--500 MeV) of studied neutrino
energies. Results for inclusive muon capture for different nuclei through the
Periodic Table are also discussed. In addition, and by means of a Monte Carlo
cascade method to account for the rescattering of the outgoing nucleon, we also
study the CC and NC inclusive one nucleon knockout reactions off nuclei.
| nucl-th hep-ph | the quasielastic qe contribution of the nuclear inclusive electron model developed in nucl phys a627 543 1997 is extended to the study of neutrinoantineutrino charged current cc and neutral current nc induced nuclear reactions at intermediate energies long range nuclear rpa correlations final state interaction fsi and coulomb corrections are included within the model rpa correlations are shown to play a crucial role in the whole range 100500 mev of studied neutrino energies results for inclusive muon capture for different nuclei through the periodic table are also discussed in addition and by means of a monte carlo cascade method to account for the rescattering of the outgoing nucleon we also study the cc and nc inclusive one nucleon knockout reactions off nuclei | [['the', 'quasielastic', 'qe', 'contribution', 'of', 'the', 'nuclear', 'inclusive', 'electron', 'model', 'developed', 'in', 'nucl', 'phys', 'a627', '543', '1997', 'is', 'extended', 'to', 'the', 'study', 'of', 'neutrinoantineutrino', 'charged', 'current', 'cc', 'and', 'neutral', 'current', 'nc', 'induced', 'nuclear', 'reactions', 'at', 'intermediate', 'energies', 'long', 'range', 'nuclear', 'rpa', 'correlations', 'final', 'state', 'interaction', 'fsi', 'and', 'coulomb', 'corrections', 'are', 'included', 'within', 'the', 'model', 'rpa', 'correlations', 'are', 'shown', 'to', 'play', 'a', 'crucial', 'role', 'in', 'the', 'whole', 'range', '100500', 'mev', 'of', 'studied', 'neutrino', 'energies', 'results', 'for', 'inclusive', 'muon', 'capture', 'for', 'different', 'nuclei', 'through', 'the', 'periodic', 'table', 'are', 'also', 'discussed', 'in', 'addition', 'and', 'by', 'means', 'of', 'a', 'monte', 'carlo', 'cascade', 'method', 'to', 'account', 'for', 'the', 'rescattering', 'of', 'the', 'outgoing', 'nucleon', 'we', 'also', 'study', 'the', 'cc', 'and', 'nc', 'inclusive', 'one', 'nucleon', 'knockout', 'reactions', 'off', 'nuclei']] | [-0.011133896002463211, 0.22994161009680758, -0.04278921939178624, 0.20501458203931885, 0.048743524246854894, -0.08972185041201262, 0.040855907498327786, 0.36303589692385485, -0.19702647012958596, -0.2820472126818947, -0.10843146340979248, -0.3325951607043524, 0.0194296268669288, 0.13061771906666025, 0.1232976649968677, 0.028371067340524237, 0.08842096801785644, -0.021157074735061197, -0.05735520925950105, -0.16240503337842313, 0.29295379156631624, 0.12795171545710693, 0.22951899190271688, 0.18026235621337863, 0.04080929103007248, 0.13153640897020943, -0.05921127442039611, -0.03979995982983142, -0.11830970949747345, 0.0405513669964511, 0.29893946744288, 0.00664899779160407, 0.13819065439122274, -0.4462167354192862, -0.14801389720167749, 0.10704561779929772, 0.15881615723213874, 0.14658859376757105, -0.07051632408637645, -0.29485644172676956, 0.04696573434428366, -0.29085372789370373, -0.11764977973585655, -0.0924574241565525, 0.047323051609160484, 0.05423738996398227, -0.28276631258445417, 0.10594207297265915, -0.01197338883172382, -0.020808747273962175, -0.07401625716227515, -0.2322339906149413, -0.001210050468817969, 0.07197372165069846, 0.07864530663456275, 0.08579403192405242, 0.20062593035092038, -0.12227016050043354, -0.12276122212979543, 0.36889641002313167, 0.027095839971953556, -0.12703203003514896, 0.10558222101862766, -0.17335001062524835, -0.10592962218032888, 0.21443910818269923, 0.19095190155030276, 0.09510340921442248, -0.2227218187575744, 0.10307442551778923, -0.004610959432772861, 0.14757158853352254, 0.058434459963844214, 0.040114760296881075, 0.12374490207399834, 0.2231276508205193, -0.06443278913286106, 0.02405746928647099, -0.1634452435811443, -0.15711354601297003, -0.35386536889209236, -0.08633502594229943, -0.06370736547353223, 0.05823972188960953, 0.006898691748318932, -0.08646985275881588, 0.383350223182818, 0.07953562322342075, 0.18957086499734235, -0.0843419036404653, 0.28332188085091015, 0.07138525101515919, 0.037305703448239434, 0.03648874229051111, 0.3275892061377637, 0.22225031355965483, 0.12040583165901259, -0.2981334221626301, 0.03870267039626714, 0.068921542734154] |
710.5885 | Combinatorial interpretation and positivity of Kerov's character
polynomials | Kerov's polynomials give irreducible character values in term of the free
cumulants of the associated Young diagram. We prove in this article a
positivity result on their coefficients, which extends a conjecture of S.
Kerov. Our method, through decomposition of maps, gives a description of the
coefficients of the k-th Kerov's polynomials using permutations in S(k). We
also obtain explicit formulas or combinatorial interpretations for some
coefficients. In particular, we are able to compute the subdominant term for
character values on any fixed permutation (it was known for cycles).
| math.RT math.CO | kerovs polynomials give irreducible character values in term of the free cumulants of the associated young diagram we prove in this article a positivity result on their coefficients which extends a conjecture of s kerov our method through decomposition of maps gives a description of the coefficients of the kth kerovs polynomials using permutations in sk we also obtain explicit formulas or combinatorial interpretations for some coefficients in particular we are able to compute the subdominant term for character values on any fixed permutation it was known for cycles | [['kerovs', 'polynomials', 'give', 'irreducible', 'character', 'values', 'in', 'term', 'of', 'the', 'free', 'cumulants', 'of', 'the', 'associated', 'young', 'diagram', 'we', 'prove', 'in', 'this', 'article', 'a', 'positivity', 'result', 'on', 'their', 'coefficients', 'which', 'extends', 'a', 'conjecture', 'of', 's', 'kerov', 'our', 'method', 'through', 'decomposition', 'of', 'maps', 'gives', 'a', 'description', 'of', 'the', 'coefficients', 'of', 'the', 'kth', 'kerovs', 'polynomials', 'using', 'permutations', 'in', 'sk', 'we', 'also', 'obtain', 'explicit', 'formulas', 'or', 'combinatorial', 'interpretations', 'for', 'some', 'coefficients', 'in', 'particular', 'we', 'are', 'able', 'to', 'compute', 'the', 'subdominant', 'term', 'for', 'character', 'values', 'on', 'any', 'fixed', 'permutation', 'it', 'was', 'known', 'for', 'cycles']] | [-0.17159384215941256, 0.08567086728603653, -0.12415826639547693, 0.07905211049953496, -0.08628749544209058, -0.08272440513344796, 0.046705919903901855, 0.29505568353480166, -0.2747980202548206, -0.2151739758156826, 0.08019698076891933, -0.2560998668731975, -0.17828791340802577, 0.22555062400041084, -0.08405243814056294, -0.013756743943242859, 0.04852102500035982, 0.08920450931875391, -0.10076955036288637, -0.2756619092058704, 0.313661756160083, -0.0022535231978151153, 0.17970601781114434, 0.07326611017368817, 0.12403474340550183, 0.014640697994886825, -0.08297141100439567, -0.06278008480394112, -0.1987948653999758, 0.12296434254333209, 0.25861603735156063, 0.07508325079466437, 0.1464681765378526, -0.34933686746137865, -0.11742601812335798, 0.17581418909660929, 0.12631220192638007, 0.0745297693111149, 0.0020287114959419445, -0.20810037877494364, 0.10193293791243367, -0.1954903585752577, -0.17609147894133426, -0.11475399698476109, 0.05193274613114053, 0.04596507239542651, -0.29902906118881667, 0.07922528027733422, 0.12231447685279706, 0.10470221647888087, -0.06004173990883184, -0.18574335643226345, 0.04615943139324781, 0.1068137203882124, 0.026408666441363565, -0.003962018718063998, 0.019980598895109437, -0.13200005701366352, -0.12473540760451153, 0.3527579097223751, -0.059528268230137196, -0.2439869995113839, 0.11455795701509447, -0.16789266226938768, -0.20634837382671872, 0.12784482313717685, 0.09098015086243996, 0.14941764899184196, -0.06360516160349833, 0.13915264145523476, -0.13261510145044728, 0.09453042237914763, 0.1451087438689775, 0.007454481540938441, 0.1332912157509434, -0.02222258883026125, 0.05382514746043454, 0.2132014955257934, 0.006014689718755067, -0.06211748607770613, -0.3431234175569556, -0.17438236865727755, -0.1698067747187288, 0.06934751161593902, -0.15232104255053935, -0.20440464787410176, 0.4231648948252871, 0.11968201418731654, 0.2003786663467253, 0.14468593111790173, 0.21250678635146103, 0.15384347950961189, 0.04873305682375441, 0.025221328544064184, 0.09832423820397083, 0.22394601456046606, 0.03082944137264001, -0.15911723262096725, 0.0880840698340803, 0.2398173343337905] |
710.5886 | A multifractal model for spatial variation in species richness | Models for species-area relationships up to now have focused on the mean
richness as a function of area. We present MFp1p2, a self-similar multifractal.
It explicitly models both trend and variation in richness as a function of
area, and is a generalisation of the model of scaling of mean species richness
due to Harte et al (1999). The construction is based on a cascade of bisections
of a rectangle. The two parameters of the model are p1, the proportion of
species that occur in the richer half, and p2, the proportion of species that
occur in the poorer half. Equivalent parameterisations are a = (p1 + p2)/2 and
b = p1/p2. These parameters are interpreted as follows: a gives the scaling of
mean density, b gives the scaling of spatial variability. Several properties of
MFp1p2 are derived, a generalisation is noted and some applications are
suggested.
| q-bio.QM q-bio.PE | models for speciesarea relationships up to now have focused on the mean richness as a function of area we present mfp1p2 a selfsimilar multifractal it explicitly models both trend and variation in richness as a function of area and is a generalisation of the model of scaling of mean species richness due to harte et al 1999 the construction is based on a cascade of bisections of a rectangle the two parameters of the model are p1 the proportion of species that occur in the richer half and p2 the proportion of species that occur in the poorer half equivalent parameterisations are a p1 p22 and b p1p2 these parameters are interpreted as follows a gives the scaling of mean density b gives the scaling of spatial variability several properties of mfp1p2 are derived a generalisation is noted and some applications are suggested | [['models', 'for', 'speciesarea', 'relationships', 'up', 'to', 'now', 'have', 'focused', 'on', 'the', 'mean', 'richness', 'as', 'a', 'function', 'of', 'area', 'we', 'present', 'mfp1p2', 'a', 'selfsimilar', 'multifractal', 'it', 'explicitly', 'models', 'both', 'trend', 'and', 'variation', 'in', 'richness', 'as', 'a', 'function', 'of', 'area', 'and', 'is', 'a', 'generalisation', 'of', 'the', 'model', 'of', 'scaling', 'of', 'mean', 'species', 'richness', 'due', 'to', 'harte', 'et', 'al', '1999', 'the', 'construction', 'is', 'based', 'on', 'a', 'cascade', 'of', 'bisections', 'of', 'a', 'rectangle', 'the', 'two', 'parameters', 'of', 'the', 'model', 'are', 'p1', 'the', 'proportion', 'of', 'species', 'that', 'occur', 'in', 'the', 'richer', 'half', 'and', 'p2', 'the', 'proportion', 'of', 'species', 'that', 'occur', 'in', 'the', 'poorer', 'half', 'equivalent', 'parameterisations', 'are', 'a', 'p1', 'p22', 'and', 'b', 'p1p2', 'these', 'parameters', 'are', 'interpreted', 'as', 'follows', 'a', 'gives', 'the', 'scaling', 'of', 'mean', 'density', 'b', 'gives', 'the', 'scaling', 'of', 'spatial', 'variability', 'several', 'properties', 'of', 'mfp1p2', 'are', 'derived', 'a', 'generalisation', 'is', 'noted', 'and', 'some', 'applications', 'are', 'suggested']] | [-0.10422488746517306, 0.10709370127780006, -0.08528213325148144, 0.10937016183124022, -0.025300252561767895, -0.10064637388849089, 0.044079509159180186, 0.3507187638352526, -0.22562082844343803, -0.3270056163727022, 0.08419182411550234, -0.2915090315360972, -0.14942843487142776, 0.2035327252029055, -0.06364980912668274, 0.030344752418554343, -0.00781134618163449, 0.03739891029524465, -0.04416534770610379, -0.2479676877029557, 0.28306032874429904, 0.028315503635701348, 0.2513395473641733, 0.02932684758392407, 0.082296736607764, -0.044794366690858615, -0.05030736941778174, 0.05610428729378585, -0.14543556873507035, 0.11835004233983049, 0.16173128695178698, 0.12701192067470402, 0.25313166975446627, -0.3197271747065457, -0.24501847305829663, 0.09814810581135412, 0.14218669799189512, 0.05614782400191464, -0.01280113420753033, -0.20480526387955703, 0.046788534638306775, -0.15802909460922715, -0.1448878197805256, -0.0003602473686138789, 0.08162892650786444, 0.07813594129319626, -0.24466051615061277, 0.13928815411199016, 0.08226713520996537, 0.09303973562658784, -0.05308204046813837, -0.15824929309070956, -0.054284791524872075, 0.12920373740956081, 0.0416455860348775, 0.014118048009059742, 0.08429416122430182, -0.12862408557801064, -0.07737207795858238, 0.3844266590259388, -0.052600591998309534, -0.18649315573142985, 0.19481316294045525, -0.13752226896768976, -0.14462545190455642, 0.113780172432753, 0.1448583571200675, 0.0993254092812591, -0.11119746762915705, 0.10548268427456406, -0.09158869794526976, 0.15863167013517243, 0.061367923859506845, 0.016293140788767355, 0.1864196018163934, 0.15030835844999088, 0.05328503222219606, 0.1296839302617079, -0.09654711228993504, -0.10522115424461993, -0.2895433492859469, -0.13885132161135033, -0.1426001909710731, 0.035903401560553, -0.08671860161667991, -0.18337292596367552, 0.3949991067382672, 0.10992773473452684, 0.2733227070751237, 0.08958072621203589, 0.19101306168587073, 0.13173191083334254, 0.07164153128908617, 0.03629283450134363, 0.20029542162285371, 0.15421173753669315, 0.060208400047602174, -0.17603932916853868, 0.08465927940998094, 0.0719627902284925] |
710.5887 | A double resonance approach to submillimeter/terahertz remote sensing at
atmospheric pressure | The remote sensing of gases in complex mixtures at atmospheric pressure is a
challenging problem and much attention has been paid to it. The most
fundamental difference between this application and highly successful
astrophysical and upper atmospheric remote sensing is the line width associated
with atmospheric pressure broadening, ~ 5 GHz in all spectral regions. In this
paper, we discuss quantitatively a new approach that would use a short pulse
infrared laser to modulate the submillimeter/terahertz (SMM/THz) spectral
absorptions on the time scale of atmospheric relaxation. We show that such a
scheme has three important attributes: (1) The time resolved pump makes it
possible and efficient to separate signal from atmospheric and system clutter,
thereby gaining as much as a factor of 10^6 in sensitivity, (2) The 3-D
information matrix (infrared pump laser frequency, SMM/THz probe frequency, and
time resolved SMM/THz relaxation) can provide orders of magnitude greater
specificity than a sensor that uses only one of these three dimensions, and (3)
The congested and relatively weak spectra associated with large molecules can
actually be an asset because the usually deleterious effect of their
overlapping spectra can be used to increase signal strength.
| physics.chem-ph | the remote sensing of gases in complex mixtures at atmospheric pressure is a challenging problem and much attention has been paid to it the most fundamental difference between this application and highly successful astrophysical and upper atmospheric remote sensing is the line width associated with atmospheric pressure broadening 5 ghz in all spectral regions in this paper we discuss quantitatively a new approach that would use a short pulse infrared laser to modulate the submillimeterterahertz smmthz spectral absorptions on the time scale of atmospheric relaxation we show that such a scheme has three important attributes 1 the time resolved pump makes it possible and efficient to separate signal from atmospheric and system clutter thereby gaining as much as a factor of 106 in sensitivity 2 the 3d information matrix infrared pump laser frequency smmthz probe frequency and time resolved smmthz relaxation can provide orders of magnitude greater specificity than a sensor that uses only one of these three dimensions and 3 the congested and relatively weak spectra associated with large molecules can actually be an asset because the usually deleterious effect of their overlapping spectra can be used to increase signal strength | [['the', 'remote', 'sensing', 'of', 'gases', 'in', 'complex', 'mixtures', 'at', 'atmospheric', 'pressure', 'is', 'a', 'challenging', 'problem', 'and', 'much', 'attention', 'has', 'been', 'paid', 'to', 'it', 'the', 'most', 'fundamental', 'difference', 'between', 'this', 'application', 'and', 'highly', 'successful', 'astrophysical', 'and', 'upper', 'atmospheric', 'remote', 'sensing', 'is', 'the', 'line', 'width', 'associated', 'with', 'atmospheric', 'pressure', 'broadening', '5', 'ghz', 'in', 'all', 'spectral', 'regions', 'in', 'this', 'paper', 'we', 'discuss', 'quantitatively', 'a', 'new', 'approach', 'that', 'would', 'use', 'a', 'short', 'pulse', 'infrared', 'laser', 'to', 'modulate', 'the', 'submillimeterterahertz', 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710.5888 | Eulerian and Lagrangian velocity statistics in weakly forced
two-dimensional turbulence | We present statistics of velocity fluctuations in both the Lagrangian and
Eulerian frame for weakly driven two-dimensional turbulence. We find that
simultaneous inverse energy and enstrophy ranges present in the Lagrangian and
Eulerian Fourier spectra are not directly echoed in real-space moments of
velocity difference. The spectral ranges, however, do line up very well with
ratios of the real-space moments {\em local} exponents, indicating that though
the real-space moments are not scaling ``nicely'', the relative behavior of the
velocity difference probability distribution functions is changing over very
short ranges of length scales. Utilizing this technique we show that the ratios
of the local exponents for Eulerian moments in weak two-dimensional turbulence
behave in agreement with Kolmogorov predictions over the spectrally identified
ranges. The Lagrangian local exponent ratios, however, behave in a different
manner compared to their Eulerian counterparts, and deviate significantly from
what would be expected from Kolmogorov predictions.
| cond-mat.soft | we present statistics of velocity fluctuations in both the lagrangian and eulerian frame for weakly driven twodimensional turbulence we find that simultaneous inverse energy and enstrophy ranges present in the lagrangian and eulerian fourier spectra are not directly echoed in realspace moments of velocity difference the spectral ranges however do line up very well with ratios of the realspace moments em local exponents indicating that though the realspace moments are not scaling nicely the relative behavior of the velocity difference probability distribution functions is changing over very short ranges of length scales utilizing this technique we show that the ratios of the local exponents for eulerian moments in weak twodimensional turbulence behave in agreement with kolmogorov predictions over the spectrally identified ranges the lagrangian local exponent ratios however behave in a different manner compared to their eulerian counterparts and deviate significantly from what would be expected from kolmogorov predictions | [['we', 'present', 'statistics', 'of', 'velocity', 'fluctuations', 'in', 'both', 'the', 'lagrangian', 'and', 'eulerian', 'frame', 'for', 'weakly', 'driven', 'twodimensional', 'turbulence', 'we', 'find', 'that', 'simultaneous', 'inverse', 'energy', 'and', 'enstrophy', 'ranges', 'present', 'in', 'the', 'lagrangian', 'and', 'eulerian', 'fourier', 'spectra', 'are', 'not', 'directly', 'echoed', 'in', 'realspace', 'moments', 'of', 'velocity', 'difference', 'the', 'spectral', 'ranges', 'however', 'do', 'line', 'up', 'very', 'well', 'with', 'ratios', 'of', 'the', 'realspace', 'moments', 'em', 'local', 'exponents', 'indicating', 'that', 'though', 'the', 'realspace', 'moments', 'are', 'not', 'scaling', 'nicely', 'the', 'relative', 'behavior', 'of', 'the', 'velocity', 'difference', 'probability', 'distribution', 'functions', 'is', 'changing', 'over', 'very', 'short', 'ranges', 'of', 'length', 'scales', 'utilizing', 'this', 'technique', 'we', 'show', 'that', 'the', 'ratios', 'of', 'the', 'local', 'exponents', 'for', 'eulerian', 'moments', 'in', 'weak', 'twodimensional', 'turbulence', 'behave', 'in', 'agreement', 'with', 'kolmogorov', 'predictions', 'over', 'the', 'spectrally', 'identified', 'ranges', 'the', 'lagrangian', 'local', 'exponent', 'ratios', 'however', 'behave', 'in', 'a', 'different', 'manner', 'compared', 'to', 'their', 'eulerian', 'counterparts', 'and', 'deviate', 'significantly', 'from', 'what', 'would', 'be', 'expected', 'from', 'kolmogorov', 'predictions']] | [-0.1264603519374692, 0.17539252397360516, -0.11710309570197379, 0.1161096768591228, -0.03154534578593698, -0.07476885036109078, -0.023200740190785402, 0.3868214712000058, -0.28187186305954953, -0.29719370737321826, -0.006489273471657762, -0.2617914297261694, -0.07264890459884933, 0.19300085688150495, 0.018600936897799073, 0.04866503934444697, 0.014497683255389433, -0.028471017087615975, -0.11614536678484147, -0.17419628698953846, 0.27447903759765047, 0.06883424471973147, 0.3003456192403632, -0.016862083324106197, 0.03684825846150318, -0.03534876895621544, -0.0775931428802659, 0.11365778201756586, -0.17510080150551835, 0.07127083081052007, 0.22058767792159353, 0.02767541435947204, 0.17117855991643147, -0.3869413318231252, -0.19719074995275712, 0.09938395693710686, 0.2021712448245583, 0.08007806017619852, -0.0012439638673134097, -0.23421520522276826, 0.09149164046807802, -0.1383450844875168, -0.12280810372778933, -0.0799577642554861, 0.019953476711982648, 0.13132171722163366, -0.2721116457921851, 0.189332317892187, 0.03734217361855085, 0.10522851264791801, -0.03368438682800171, -0.11628795617053773, -0.006143732976180895, 0.10542254760537544, 0.059684965762641005, 4.936710012539121e-05, 0.12959554176715096, -0.14527866449332077, -0.057582753360421464, 0.40382797025369116, -0.09602896234758149, -0.20432294265604609, 0.18949242003712077, -0.2010048757004083, -0.10621712249922473, 0.161983960037801, 0.12531544556669366, 0.10599531728349276, -0.08307053882241149, 0.059728380473918166, -0.045833027668472304, 0.1851703592594838, 0.05800804638322568, 0.06748033148011359, 0.2098615542679225, 0.02063658095946248, 0.0679043378546559, 0.056057778811363514, -0.11695711382808502, -0.14704715513668004, -0.28990691001433255, -0.10062404099426814, -0.19886831063058402, 0.04409460859992791, -0.1125956035196475, -0.15725013707614435, 0.3674245408592408, 0.16092343304631293, 0.23806175482053085, 0.14628275005059355, 0.25953483689676393, 0.17018890358045097, 0.04388532107664685, 0.1000184548843727, 0.26510596215324916, 0.12895720631224822, 0.13768130697578743, -0.21602991120827278, 0.04896033815602028, 0.10553785373188006] |
710.5889 | Self-diffusion of Rod-like Viruses Through Smectic Layer | We report the direct visualization at the scale of single particles of mass
transport between smectic layers, also called permeation, in a suspension of
rod-like viruses. Self-diffusion takes place preferentially in the direction
normal to the smectic layers, and occurs by quasi-quantized steps of one rod
length. The diffusion rate corresponds with the rate calculated from the
diffusion in the nematic state with a lamellar periodic ordering potential that
is obtained experimentally.
| cond-mat.soft | we report the direct visualization at the scale of single particles of mass transport between smectic layers also called permeation in a suspension of rodlike viruses selfdiffusion takes place preferentially in the direction normal to the smectic layers and occurs by quasiquantized steps of one rod length the diffusion rate corresponds with the rate calculated from the diffusion in the nematic state with a lamellar periodic ordering potential that is obtained experimentally | [['we', 'report', 'the', 'direct', 'visualization', 'at', 'the', 'scale', 'of', 'single', 'particles', 'of', 'mass', 'transport', 'between', 'smectic', 'layers', 'also', 'called', 'permeation', 'in', 'a', 'suspension', 'of', 'rodlike', 'viruses', 'selfdiffusion', 'takes', 'place', 'preferentially', 'in', 'the', 'direction', 'normal', 'to', 'the', 'smectic', 'layers', 'and', 'occurs', 'by', 'quasiquantized', 'steps', 'of', 'one', 'rod', 'length', 'the', 'diffusion', 'rate', 'corresponds', 'with', 'the', 'rate', 'calculated', 'from', 'the', 'diffusion', 'in', 'the', 'nematic', 'state', 'with', 'a', 'lamellar', 'periodic', 'ordering', 'potential', 'that', 'is', 'obtained', 'experimentally']] | [-0.17146389646796692, 0.2502678902295064, -0.039606670068550696, -0.05770847972475884, -0.004593223241538229, -0.11945325610044241, 0.03739168386394814, 0.3943111307814088, -0.3329464967533107, -0.22756154017447508, 0.009338106496036577, -0.28012551272838887, -0.11645671125652242, 0.10926781390124643, 0.06374222767854136, 0.01664971844227591, 0.005297417037556289, 0.017862758048298493, -0.03170817986484879, -0.17800801634316293, 0.23929016915818965, 0.03595682692018823, 0.30595696423674973, 0.044764840778645495, 0.13200706695403222, 0.02064944334118299, 0.07667116996582965, 0.01496021664688285, -0.23414404239412479, 0.05014397776488897, 0.1979882901035984, -0.06992634825251053, 0.1925252743170295, -0.4816136499473327, -0.2055055527410037, 0.02790694479817446, 0.16929197863636303, 0.13059094186190148, -0.07767628166745875, -0.23892553546138004, 0.05410257987079578, -0.11857080823597564, -0.13235849786785917, -0.003787227853817839, 0.027092087925346175, 0.027870109711419528, -0.22801243886351585, 0.18975217606910033, 0.0597734968014009, 0.054809280100580254, -0.09506197997801741, -0.08580551599480317, -0.0776298236114983, 0.11573250140522567, 0.11043862578406616, -0.0035518586478182966, 0.22455052056302263, -0.14197705303069572, -0.07946197008451736, 0.40213317985475905, -0.06006999351051439, -0.1752973458906767, 0.17865178856054242, -0.17536468836675648, -0.053155244314964385, 0.24891779027407018, 0.1448522497585017, 0.10113117658257695, -0.1049464659758804, -0.009186289313373903, -0.03114964077773858, 0.21823723771294554, 0.10370480462016773, -0.05703312320582254, 0.23220351813229875, 0.26463143768864617, 0.042845097767241616, 0.1616285204703749, -0.17607691019944008, -0.12104574768003863, -0.22396752964967573, -0.2484208820289342, -0.17237246052270205, -0.015294436771999782, -0.12034844932852241, -0.18599652934452177, 0.3469030161480039, 0.08063754931249668, 0.2467516526763498, 0.03749500898460687, 0.2218493335801636, 0.024578670643165077, 0.07351672836959781, 0.008676170237841164, 0.2666724241096002, 0.14006706118144252, 0.1567855552625908, -0.24939385365406183, 0.13602408552935846, 0.0920587469443259] |
710.589 | Strange atoms, strange nuclei and kaon condensation | Analyses of comprehensive sets of strong-interaction data consisting of level
shifts, widths and yields in strange atoms of K mesons and Sigma hyperons are
reviewed. The introduction of density dependent optical potentials, in both
cases, improves significantly the fit to the data. A strongly attractive
antikaon-nuclear potential of order 150-200 MeV in nuclear matter is suggested
by fits to the kaonic-atom data, with interesting possible repercussions on
kaon condensation and on the evolution of strangeness in high-density stars.
The case for relatively narrow, deeply bound antikaon atomic states is made,
essentially independent of the nuclear potential depth. Dynamical models for
calculating binding energies and widths of antikaon-nuclear states are
discussed and a lower bound of approximately 50 MeV on the width is
established. For Sigma atoms, the fitted potential becomes repulsive inside the
nucleus, in agreement with recently reported (pi-,K+) spectra from KEK,
implying that Sigma hyperons generally do not bind in nuclei. This repulsion
significantly affects calculated compositions and masses of neutron stars.
| nucl-th | analyses of comprehensive sets of stronginteraction data consisting of level shifts widths and yields in strange atoms of k mesons and sigma hyperons are reviewed the introduction of density dependent optical potentials in both cases improves significantly the fit to the data a strongly attractive antikaonnuclear potential of order 150200 mev in nuclear matter is suggested by fits to the kaonicatom data with interesting possible repercussions on kaon condensation and on the evolution of strangeness in highdensity stars the case for relatively narrow deeply bound antikaon atomic states is made essentially independent of the nuclear potential depth dynamical models for calculating binding energies and widths of antikaonnuclear states are discussed and a lower bound of approximately 50 mev on the width is established for sigma atoms the fitted potential becomes repulsive inside the nucleus in agreement with recently reported pik spectra from kek implying that sigma hyperons generally do not bind in nuclei this repulsion significantly affects calculated compositions and masses of neutron stars | [['analyses', 'of', 'comprehensive', 'sets', 'of', 'stronginteraction', 'data', 'consisting', 'of', 'level', 'shifts', 'widths', 'and', 'yields', 'in', 'strange', 'atoms', 'of', 'k', 'mesons', 'and', 'sigma', 'hyperons', 'are', 'reviewed', 'the', 'introduction', 'of', 'density', 'dependent', 'optical', 'potentials', 'in', 'both', 'cases', 'improves', 'significantly', 'the', 'fit', 'to', 'the', 'data', 'a', 'strongly', 'attractive', 'antikaonnuclear', 'potential', 'of', 'order', '150200', 'mev', 'in', 'nuclear', 'matter', 'is', 'suggested', 'by', 'fits', 'to', 'the', 'kaonicatom', 'data', 'with', 'interesting', 'possible', 'repercussions', 'on', 'kaon', 'condensation', 'and', 'on', 'the', 'evolution', 'of', 'strangeness', 'in', 'highdensity', 'stars', 'the', 'case', 'for', 'relatively', 'narrow', 'deeply', 'bound', 'antikaon', 'atomic', 'states', 'is', 'made', 'essentially', 'independent', 'of', 'the', 'nuclear', 'potential', 'depth', 'dynamical', 'models', 'for', 'calculating', 'binding', 'energies', 'and', 'widths', 'of', 'antikaonnuclear', 'states', 'are', 'discussed', 'and', 'a', 'lower', 'bound', 'of', 'approximately', '50', 'mev', 'on', 'the', 'width', 'is', 'established', 'for', 'sigma', 'atoms', 'the', 'fitted', 'potential', 'becomes', 'repulsive', 'inside', 'the', 'nucleus', 'in', 'agreement', 'with', 'recently', 'reported', 'pik', 'spectra', 'from', 'kek', 'implying', 'that', 'sigma', 'hyperons', 'generally', 'do', 'not', 'bind', 'in', 'nuclei', 'this', 'repulsion', 'significantly', 'affects', 'calculated', 'compositions', 'and', 'masses', 'of', 'neutron', 'stars']] | [-0.06309553655609773, 0.23800642818223866, -0.06155594052440237, 0.13877003436209634, 0.006497810673885752, -0.1307139033146441, 0.09563154291514898, 0.3567490732842466, -0.14504563387642364, -0.2971482333676072, -0.03864126293721223, -0.35520976447364, 0.01983439253299588, 0.1542099239794458, 0.06974216852700565, 0.033368982397383305, 0.07374768502578684, 0.05858494413778095, -0.0686760827343167, -0.2135172981105847, 0.31945455055854216, 0.05022249520165709, 0.2177668837944, 0.16491509872143867, -0.01042404864906197, -0.01744517649910072, -0.009005308480615296, -0.023182346182371787, -0.1510972724448859, 0.09304039553588643, 0.22613934593881846, 0.05048417012375378, 0.13770312556667572, -0.38249269733986274, -0.19255667490878983, 0.09800468586816839, 0.1857900628706486, 0.10363316239800485, -0.05454195793164417, -0.3055105620310869, 0.02654230063951506, -0.15762677032602723, -0.18468342553369882, -0.09515945500944083, 0.08847659145958903, 0.05281799766462206, -0.25310871592813694, 0.12596161179272913, -0.005336371171834777, 0.043220368327527514, -0.13488089405770395, -0.26423921411084694, -0.01804337915169393, 0.012748735331825162, 0.037420642203026704, 0.053061893626674156, 0.17213775735155384, -0.16373210353953166, -0.039652979505396015, 0.41555292970818897, -0.06394342127222023, -0.10439285714315569, 0.17208591516118316, -0.17052543115029792, -0.12454599055330973, 0.17620188416913152, 0.14848013940833724, 0.061937525919525, -0.1392275343774023, 0.07496376369906613, -0.012879209460196562, 0.22864827186454134, 0.09587897920822043, 0.07146366054390765, 0.21793617456249903, 0.20129008582656885, -0.012098294633821153, 0.06064952592217795, -0.09542423539668805, -0.1109761055789621, -0.27325943572071903, -0.05401412062645072, -0.12444468496492268, 0.02725453981031201, -0.043508924817327106, -0.11339479745450862, 0.3429082740586614, 0.034155984251566865, 0.23058639045395865, -0.011887814599748065, 0.2535371343468929, 0.08089099584179987, 0.08814287598339966, 0.05389666684233106, 0.3018518009609202, 0.22558324729098098, 0.07636385339897171, -0.2595324414965367, 0.03639760357327759, -0.01647501472786932] |
710.5891 | Integral field spectroscopy of L 449-1 -- A test case for spectral
differential imaging with SINFONI | Spectral differential imaging is an increasingly used technique for
ground-based direct imaging searches for brown dwarf and planetary mass
companions to stars. The technique takes advantage of absorption features that
exist in these cool objects, but not in stars, and is normally implemented
through simultaneous narrow-band imagers in 2 to 4 adjacent channels. However,
by instead using an integral field unit, different spectral features could be
used depending on the actual spectrum, potentially leading to greater
flexibility and stronger detection limits. In this paper, we present the
results of a test of spectral differential imaging using the SINFONI integral
field unit at the VLT to study the nearby active star L449-1. No convincing
companion candidates are found. We find that the method provides a 3 sigma
contrast limit of 7.5 mag at 0.35", which is about 1.5 mag lower than for
NACO-SDI at the same telescope, using the same integration time. We discuss the
reasons for this, and the implications. In addition, we use the SINFONI data to
constrain the spectral type in the NIR for L 449-1, and find a result between
M3.0 and M4.0, in close agreement with a previous classification in the visual
range.
| astro-ph | spectral differential imaging is an increasingly used technique for groundbased direct imaging searches for brown dwarf and planetary mass companions to stars the technique takes advantage of absorption features that exist in these cool objects but not in stars and is normally implemented through simultaneous narrowband imagers in 2 to 4 adjacent channels however by instead using an integral field unit different spectral features could be used depending on the actual spectrum potentially leading to greater flexibility and stronger detection limits in this paper we present the results of a test of spectral differential imaging using the sinfoni integral field unit at the vlt to study the nearby active star l4491 no convincing companion candidates are found we find that the method provides a 3 sigma contrast limit of 75 mag at 035 which is about 15 mag lower than for nacosdi at the same telescope using the same integration time we discuss the reasons for this and the implications in addition we use the sinfoni data to constrain the spectral type in the nir for l 4491 and find a result between m30 and m40 in close agreement with a previous classification in the visual range | [['spectral', 'differential', 'imaging', 'is', 'an', 'increasingly', 'used', 'technique', 'for', 'groundbased', 'direct', 'imaging', 'searches', 'for', 'brown', 'dwarf', 'and', 'planetary', 'mass', 'companions', 'to', 'stars', 'the', 'technique', 'takes', 'advantage', 'of', 'absorption', 'features', 'that', 'exist', 'in', 'these', 'cool', 'objects', 'but', 'not', 'in', 'stars', 'and', 'is', 'normally', 'implemented', 'through', 'simultaneous', 'narrowband', 'imagers', 'in', '2', 'to', '4', 'adjacent', 'channels', 'however', 'by', 'instead', 'using', 'an', 'integral', 'field', 'unit', 'different', 'spectral', 'features', 'could', 'be', 'used', 'depending', 'on', 'the', 'actual', 'spectrum', 'potentially', 'leading', 'to', 'greater', 'flexibility', 'and', 'stronger', 'detection', 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710.5892 | Precise measurements of the eta and the neutral kaon meson masses with
the KLOE detector | We present precise measurements of the eta and K0 masses using the processes
phi to eta gamma, eta to gamma gamma and phi to Ks Kl, Ks to pi+ pi-. The K0
mass measurement, M_K=497.583 +/- 0.005 (stat) +/- 0.020 (syst) MeV, is in
acceptable agreement with the previous measurements but is more accurate. We
find m(eta) = 547.874 +/- 0.007 (stat) +/- 0.031 (syst) MeV. Our value is the
most accurate to date and is in agreement with two recent measurements based on
eta decays, but is inconsistent, by about 10 sigma, with a measurement of
comparable precision based on eta production at threshold.
| hep-ex | we present precise measurements of the eta and k0 masses using the processes phi to eta gamma eta to gamma gamma and phi to ks kl ks to pi pi the k0 mass measurement m_k497583 0005 stat 0020 syst mev is in acceptable agreement with the previous measurements but is more accurate we find meta 547874 0007 stat 0031 syst mev our value is the most accurate to date and is in agreement with two recent measurements based on eta decays but is inconsistent by about 10 sigma with a measurement of comparable precision based on eta production at threshold | [['we', 'present', 'precise', 'measurements', 'of', 'the', 'eta', 'and', 'k0', 'masses', 'using', 'the', 'processes', 'phi', 'to', 'eta', 'gamma', 'eta', 'to', 'gamma', 'gamma', 'and', 'phi', 'to', 'ks', 'kl', 'ks', 'to', 'pi', 'pi', 'the', 'k0', 'mass', 'measurement', 'm_k497583', '0005', 'stat', '0020', 'syst', 'mev', 'is', 'in', 'acceptable', 'agreement', 'with', 'the', 'previous', 'measurements', 'but', 'is', 'more', 'accurate', 'we', 'find', 'meta', '547874', '0007', 'stat', '0031', 'syst', 'mev', 'our', 'value', 'is', 'the', 'most', 'accurate', 'to', 'date', 'and', 'is', 'in', 'agreement', 'with', 'two', 'recent', 'measurements', 'based', 'on', 'eta', 'decays', 'but', 'is', 'inconsistent', 'by', 'about', '10', 'sigma', 'with', 'a', 'measurement', 'of', 'comparable', 'precision', 'based', 'on', 'eta', 'production', 'at', 'threshold']] | [-0.10014583434724268, 0.15549919627397796, -0.10775935939247054, 0.0442971609145574, -0.03459509380211655, -0.17154038467026334, 0.11430579784910708, 0.3376747473827278, -0.14480501144520977, -0.3440736468919382, -0.012504675770083405, -0.4096277821238856, 0.057178530884830624, 0.22555087455453313, -0.025428122261120956, 0.10436743740776401, 0.11565383281368687, 0.0703271704070194, -0.09056729552507096, -0.1056184013236352, 0.20062931273512694, 0.08906730028743647, 0.19567469929877138, 0.05175744395284933, -0.005394894905312329, 0.004100170884547489, -0.06669435241171728, -0.07522305773989278, -0.2824491066905689, 0.07809625779829767, 0.21078953103664835, 0.010742412048525043, 0.12222368752450816, -0.2255633177843933, -0.06111971780714788, 0.14566928357104486, 0.12560494095134567, -0.04414477788267671, 0.050948765665044464, -0.31215869176572153, 0.17910225730750481, -0.11292945891761277, -0.04249121136345654, -0.0272074845923605, 0.11511931724238153, -0.10872467872401585, -0.3736545819485066, 0.2577732726836539, -0.09743864688433099, 0.032214698194031964, -0.02063809686378405, -0.2869808967510352, 0.015471252562877322, 0.0012377063620227333, 0.08987845157567716, 0.23371584963395584, 0.12901620290299154, -0.07117208078199504, -0.08700213362747918, 0.3972919614111282, -0.10730498079305553, -0.1599585787792291, 0.10906261024635514, -0.2175362190298204, -0.16719897147458124, 0.19705165357195906, 0.12859782973798561, 0.09853657855348168, -0.1599502877132701, 0.04989372179855364, 0.0021573792458796986, 0.2999405791313026, 0.050341598451973835, 0.0014093176030247397, 0.17180488952815684, 0.19576177704243028, -0.029852856110961994, -0.04290877404261609, -0.15633546715906385, -0.04035190518527311, -0.3452092491479933, -0.09704900840125094, -0.05632048474662766, 0.16724832793721472, -0.09225916739850785, 4.7534742221540335e-05, 0.25709015527759127, 0.079192594045355, 0.3078907276218643, 0.059699822960858594, 0.26950055148870666, 0.10160324489935396, -0.0014041002497685198, 0.08442585089491034, 0.3367715187332764, 0.24615891181094077, 0.09033248271336969, -0.1969390621988521, 0.0566058701429307, -0.06287918433699073] |
710.5893 | Codes from Zero-divisors and Units in Group Rings | We describe and present a new construction method for codes using encodings
from group rings. They consist primarily of two types: zero-divisor and
unit-derived codes. Previous codes from group rings focused on ideals; for
example cyclic codes are ideals in the group ring over a cyclic group. The
fresh focus is on the encodings themselves, which only under very limited
conditions result in ideals. We use the result that a group ring is isomorphic
to a certain well-defined ring of matrices, and thus every group ring element
has an associated matrix. This allows matrix algebra to be used as needed in
the study and production of codes, enabling the creation of standard generator
and check matrices. Group rings are a fruitful source of units and
zero-divisors from which new codes result. Many code properties, such as being
LDPC or self-dual, may be expressed as properties within the group ring thus
enabling the construction of codes with these properties. The methods are
general enabling the construction of codes with many types of group rings.
There is no restriction on the ring and thus codes over the integers, over
matrix rings or even over group rings themselves are possible and fruitful.
| cs.IT math.IT | we describe and present a new construction method for codes using encodings from group rings they consist primarily of two types zerodivisor and unitderived codes previous codes from group rings focused on ideals for example cyclic codes are ideals in the group ring over a cyclic group the fresh focus is on the encodings themselves which only under very limited conditions result in ideals we use the result that a group ring is isomorphic to a certain welldefined ring of matrices and thus every group ring element has an associated matrix this allows matrix algebra to be used as needed in the study and production of codes enabling the creation of standard generator and check matrices group rings are a fruitful source of units and zerodivisors from which new codes result many code properties such as being ldpc or selfdual may be expressed as properties within the group ring thus enabling the construction of codes with these properties the methods are general enabling the construction of codes with many types of group rings there is no restriction on the ring and thus codes over the integers over matrix rings or even over group rings themselves are possible and fruitful | [['we', 'describe', 'and', 'present', 'a', 'new', 'construction', 'method', 'for', 'codes', 'using', 'encodings', 'from', 'group', 'rings', 'they', 'consist', 'primarily', 'of', 'two', 'types', 'zerodivisor', 'and', 'unitderived', 'codes', 'previous', 'codes', 'from', 'group', 'rings', 'focused', 'on', 'ideals', 'for', 'example', 'cyclic', 'codes', 'are', 'ideals', 'in', 'the', 'group', 'ring', 'over', 'a', 'cyclic', 'group', 'the', 'fresh', 'focus', 'is', 'on', 'the', 'encodings', 'themselves', 'which', 'only', 'under', 'very', 'limited', 'conditions', 'result', 'in', 'ideals', 'we', 'use', 'the', 'result', 'that', 'a', 'group', 'ring', 'is', 'isomorphic', 'to', 'a', 'certain', 'welldefined', 'ring', 'of', 'matrices', 'and', 'thus', 'every', 'group', 'ring', 'element', 'has', 'an', 'associated', 'matrix', 'this', 'allows', 'matrix', 'algebra', 'to', 'be', 'used', 'as', 'needed', 'in', 'the', 'study', 'and', 'production', 'of', 'codes', 'enabling', 'the', 'creation', 'of', 'standard', 'generator', 'and', 'check', 'matrices', 'group', 'rings', 'are', 'a', 'fruitful', 'source', 'of', 'units', 'and', 'zerodivisors', 'from', 'which', 'new', 'codes', 'result', 'many', 'code', 'properties', 'such', 'as', 'being', 'ldpc', 'or', 'selfdual', 'may', 'be', 'expressed', 'as', 'properties', 'within', 'the', 'group', 'ring', 'thus', 'enabling', 'the', 'construction', 'of', 'codes', 'with', 'these', 'properties', 'the', 'methods', 'are', 'general', 'enabling', 'the', 'construction', 'of', 'codes', 'with', 'many', 'types', 'of', 'group', 'rings', 'there', 'is', 'no', 'restriction', 'on', 'the', 'ring', 'and', 'thus', 'codes', 'over', 'the', 'integers', 'over', 'matrix', 'rings', 'or', 'even', 'over', 'group', 'rings', 'themselves', 'are', 'possible', 'and', 'fruitful']] | 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710.5894 | A version of Fabry's theorem for power series with regularly varying
coefficients | For real power series whose non-zero coefficients satisfy $|a_m|^{1/m}\to~1$
we prove a stronger version of Fabry theorem relating the frequency of sign
changes in the coefficients and analytic continuation of the sum of the power
series.
| math.CV | for real power series whose nonzero coefficients satisfy a_m1mto1 we prove a stronger version of fabry theorem relating the frequency of sign changes in the coefficients and analytic continuation of the sum of the power series | [['for', 'real', 'power', 'series', 'whose', 'nonzero', 'coefficients', 'satisfy', 'a_m1mto1', 'we', 'prove', 'a', 'stronger', 'version', 'of', 'fabry', 'theorem', 'relating', 'the', 'frequency', 'of', 'sign', 'changes', 'in', 'the', 'coefficients', 'and', 'analytic', 'continuation', 'of', 'the', 'sum', 'of', 'the', 'power', 'series']] | [-0.21054464913904666, 0.025658289955130646, -0.08336256392566221, -0.004657465698463576, -0.10504551934344428, -0.08297205629891583, 0.019756093952206098, 0.2594794040279729, -0.2889115180288042, -0.18393495524568218, 0.11414981329747076, -0.25754493010629503, -0.156809280280556, 0.2698558270931244, -0.026584221821810517, 0.06382122348461833, -0.002863512188196182, 0.06810665007214993, -0.06619685446577413, -0.19445734242243426, 0.2998993769288063, -0.00793987736105919, 0.25800002557890755, 0.078410251598273, 0.12985518106392452, 0.051479409927768366, -0.09804997199348041, -0.02858173767370837, -0.14355615789869003, 0.12178716081980383, 0.20350777762276787, 0.040341087237798744, 0.24636547552155597, -0.41827622266220194, -0.12276214975863695, 0.17905534049496055, 0.06856284782157412, -0.010117479653230736, 0.016692312746973973, -0.1852406586919512, 0.13014635242787856, -0.19574657369937215, -0.18746504464319774, -0.09084229762000696, 0.020610942265817098, 0.08926530283476625, -0.356300370820931, 0.13340927538062844, 0.08327427929533379, 0.12861529394452062, -0.0904896748318736, -0.11061622542994363, 0.03558561969548464, 0.11239308498001524, 0.08554184516625744, -0.036972144192882944, 0.06686790012089269, -0.10934045176420892, -0.07301285415887833, 0.32943895310163496, -0.14863556575562273, -0.1925513961485454, 0.059871513822249006, -0.22754049237285343, -0.14565378054976463, 0.0968022916998182, 0.1282922140721764, 0.10347113577382905, -0.024284939032181034, 0.12265070169731708, -0.07782663117562022, 0.1482167860759156, 0.18933057034654277, 0.03475749186639275, 0.16665443791342632, -0.036899852326938085, 0.08294038103361215, 0.17557980986312033, 0.034771521602358135, -0.06913970014346497, -0.33749637585133313, -0.1525549951940775, -0.22892507575452328, 0.11054593303373882, -0.14440635903031632, -0.19022951519915035, 0.4617288927148495, 0.042960113007575275, 0.23035735262341664, 0.13037932374115502, 0.3010709860495159, 0.2877181143632957, 0.027718878537416457, 0.00643484251839774, 0.15585927705812666, 0.19065278185797588, 0.11650123016110488, -0.22560338749151146, 0.02179362643510103, 0.15882876217365266] |
710.5895 | Source-to-source optimizing transformations of Prolog programs based on
abstract interpretation | Making a Prolog program more efficient by transforming its source code,
without changing its operational semantics, is not an obvious task. It requires
the user to have a clear understanding of how the Prolog compiler works, and in
particular, of the effects of impure features like the cut. The way a Prolog
code is written - e.g., the order of clauses, the order of literals in a
clause, the use of cuts or negations - influences its efficiency. Furthermore,
different optimization techniques may be redundant or conflicting when they are
applied together, depending on the way a procedure is called - e.g., inserting
cuts and enabling indexing. We present an optimiser, based on abstract
interpretation, that automatically performs safe code transformations of Prolog
procedures in the context of some class of input calls. The method is more
effective if procedures are annotated with additional information about modes,
types, sharing, number of solutions and the like. Thus the approach is similar
to Mercury. It applies to any Prolog program, however.
| cs.PL cs.LO cs.SE | making a prolog program more efficient by transforming its source code without changing its operational semantics is not an obvious task it requires the user to have a clear understanding of how the prolog compiler works and in particular of the effects of impure features like the cut the way a prolog code is written eg the order of clauses the order of literals in a clause the use of cuts or negations influences its efficiency furthermore different optimization techniques may be redundant or conflicting when they are applied together depending on the way a procedure is called eg inserting cuts and enabling indexing we present an optimiser based on abstract interpretation that automatically performs safe code transformations of prolog procedures in the context of some class of input calls the method is more effective if procedures are annotated with additional information about modes types sharing number of solutions and the like thus the approach is similar to mercury it applies to any prolog program however | [['making', 'a', 'prolog', 'program', 'more', 'efficient', 'by', 'transforming', 'its', 'source', 'code', 'without', 'changing', 'its', 'operational', 'semantics', 'is', 'not', 'an', 'obvious', 'task', 'it', 'requires', 'the', 'user', 'to', 'have', 'a', 'clear', 'understanding', 'of', 'how', 'the', 'prolog', 'compiler', 'works', 'and', 'in', 'particular', 'of', 'the', 'effects', 'of', 'impure', 'features', 'like', 'the', 'cut', 'the', 'way', 'a', 'prolog', 'code', 'is', 'written', 'eg', 'the', 'order', 'of', 'clauses', 'the', 'order', 'of', 'literals', 'in', 'a', 'clause', 'the', 'use', 'of', 'cuts', 'or', 'negations', 'influences', 'its', 'efficiency', 'furthermore', 'different', 'optimization', 'techniques', 'may', 'be', 'redundant', 'or', 'conflicting', 'when', 'they', 'are', 'applied', 'together', 'depending', 'on', 'the', 'way', 'a', 'procedure', 'is', 'called', 'eg', 'inserting', 'cuts', 'and', 'enabling', 'indexing', 'we', 'present', 'an', 'optimiser', 'based', 'on', 'abstract', 'interpretation', 'that', 'automatically', 'performs', 'safe', 'code', 'transformations', 'of', 'prolog', 'procedures', 'in', 'the', 'context', 'of', 'some', 'class', 'of', 'input', 'calls', 'the', 'method', 'is', 'more', 'effective', 'if', 'procedures', 'are', 'annotated', 'with', 'additional', 'information', 'about', 'modes', 'types', 'sharing', 'number', 'of', 'solutions', 'and', 'the', 'like', 'thus', 'the', 'approach', 'is', 'similar', 'to', 'mercury', 'it', 'applies', 'to', 'any', 'prolog', 'program', 'however']] | [-0.09402855137694088, 0.05020542318406038, -0.10903213377228478, 0.09666826037328174, -0.18597821739266615, -0.18640476649245583, 0.08520345177630478, 0.4030323133478502, -0.27077469917372604, -0.3627356114988047, 0.11296984115657564, -0.2573890096188175, -0.09648976520444434, 0.2004251304329429, -0.09466030995686908, 0.058273304393024083, 0.07521781363350574, 0.05604159261425396, -0.082172310007147, -0.26293488999643555, 0.315294546919527, 0.05439095766317234, 0.22201436618763773, 0.018031969930168736, 0.07349284830592932, 0.032532441168911304, -0.05324101898572352, 0.022800006109839642, -0.020888097956154216, 0.13109922660683024, 0.2918425711006465, 0.26850743361198937, 0.2978286129220512, -0.4387906758810382, -0.14001365444140443, 0.046728531650480735, 0.11222774334899178, 0.12516267348434326, 0.002483011528966017, -0.2572546725733632, 0.07151239212666896, -0.1630213718808043, -0.05982406984969794, -0.12879995619864146, 0.0001235045226156173, -0.01802211840067575, -0.2613699767564659, -0.052457437453074775, 0.13873252709093223, 0.07623130857316127, -0.005162899736567479, -0.10044901329022551, -0.03278022848563381, 0.10943605439370661, 0.023907369103686637, 0.04577367569260995, 0.14854221888930055, -0.1274713482693713, -0.13561297029941285, 0.4083159489933042, 0.014774112002811876, -0.22680960348751172, 0.20166771264931926, -0.011442380359800285, -0.13413604647931027, 0.10959028963599893, 0.13294972547509495, 0.13848472894057182, -0.1650371783577272, 0.0991305761780528, -0.01667043621615361, 0.22637488618380872, 0.09191392041765244, 0.05765227294044502, 0.20914447174760994, 0.17617011880950936, 0.04075008193563939, 0.16003059769113806, -0.022616598544732094, -0.0551597915985341, -0.2834576750286372, -0.1573100624471364, -0.11018331286340323, -0.049105875607750364, -0.09409954579358049, -0.18091229613904045, 0.37895009502297244, 0.20034285397226753, 0.13500061020618362, 0.042666381081925275, 0.34847225252740893, 0.10150696424183896, 0.15253087470633347, 0.09250880519723441, 0.12457411375379958, 0.03315481297245406, 0.11723838706433504, -0.17580552870079494, 0.15351266084317433, 0.05250126194680132] |
710.5896 | Supervised Machine Learning with a Novel Pointwise Density Estimator | This article proposes a novel density estimation based algorithm for carrying
out supervised machine learning. The proposed algorithm features O(n) time
complexity for generating a classifier, where n is the number of sampling
instances in the training dataset. This feature is highly desirable in
contemporary applications that involve large and still growing databases. In
comparison with the kernel density estimation based approaches, the
mathe-matical fundamental behind the proposed algorithm is not based on the
assump-tion that the number of training instances approaches infinite. As a
result, a classifier generated with the proposed algorithm may deliver higher
prediction accuracy than the kernel density estimation based classifier in some
cases.
| stat.ML math.ST stat.TH | this article proposes a novel density estimation based algorithm for carrying out supervised machine learning the proposed algorithm features on time complexity for generating a classifier where n is the number of sampling instances in the training dataset this feature is highly desirable in contemporary applications that involve large and still growing databases in comparison with the kernel density estimation based approaches the mathematical fundamental behind the proposed algorithm is not based on the assumption that the number of training instances approaches infinite as a result a classifier generated with the proposed algorithm may deliver higher prediction accuracy than the kernel density estimation based classifier in some cases | [['this', 'article', 'proposes', 'a', 'novel', 'density', 'estimation', 'based', 'algorithm', 'for', 'carrying', 'out', 'supervised', 'machine', 'learning', 'the', 'proposed', 'algorithm', 'features', 'on', 'time', 'complexity', 'for', 'generating', 'a', 'classifier', 'where', 'n', 'is', 'the', 'number', 'of', 'sampling', 'instances', 'in', 'the', 'training', 'dataset', 'this', 'feature', 'is', 'highly', 'desirable', 'in', 'contemporary', 'applications', 'that', 'involve', 'large', 'and', 'still', 'growing', 'databases', 'in', 'comparison', 'with', 'the', 'kernel', 'density', 'estimation', 'based', 'approaches', 'the', 'mathematical', 'fundamental', 'behind', 'the', 'proposed', 'algorithm', 'is', 'not', 'based', 'on', 'the', 'assumption', 'that', 'the', 'number', 'of', 'training', 'instances', 'approaches', 'infinite', 'as', 'a', 'result', 'a', 'classifier', 'generated', 'with', 'the', 'proposed', 'algorithm', 'may', 'deliver', 'higher', 'prediction', 'accuracy', 'than', 'the', 'kernel', 'density', 'estimation', 'based', 'classifier', 'in', 'some', 'cases']] | [-0.04642493000116061, 0.004518959826479356, -0.10079112304029642, 0.04336378179033528, -0.1006089411891514, -0.18294995488529955, 0.06437465060864472, 0.38620222608437027, -0.21762058422124633, -0.33940415146450204, 0.10037957245259788, -0.24257280259755337, -0.1882157175806006, 0.22519220309604188, -0.11387779498127876, 0.11369115376362095, 0.11932016964311953, 0.08601741355205714, -0.07027589587960392, -0.30812192698768165, 0.28811030347046823, 0.0655645780886213, 0.3752659642637742, -0.0011873751818374902, 0.12988757409362328, -0.011789625458294284, -0.041244861286099034, 0.018385044203249115, -0.04608446022097336, 0.18059502487745635, 0.3041092407096315, 0.2096089684939081, 0.3836748556371916, -0.3578572337239705, -0.21559707990295632, 0.13151380412401287, 0.14160660246313825, 0.11052638152614236, -0.07060826694187536, -0.282249991428452, 0.07539672889268129, -0.14034912404086855, -0.0056170356951447, -0.1208626176920478, -0.016494470329403325, 0.005554885896681635, -0.31227124872600176, 0.05234799796717535, 0.05146334119813724, 0.04958988038857502, -0.03413736639130446, -0.14748556392819243, 0.07163106938996525, 0.0615230206253559, 0.05676171493380227, 0.05507829930650553, 0.11555780366890961, -0.1662322397266204, -0.13828236480346984, 0.3502341903987582, -0.0485860487707315, -0.23096232550839582, 0.18084731872659177, -0.03999179170070285, -0.19111753393102576, 0.14405631571490732, 0.22890892293718126, 0.13527551538276453, -0.12487989594659733, 0.04384158964266707, -0.06822504336337766, 0.1882793368357751, 0.02428356753403528, -0.007534132369242057, 0.13494167540274146, 0.2862355532253989, 0.06867111844540988, 0.11758078805912563, -0.13402644744901746, -0.06880364480807825, -0.2589868442112304, -0.11423353598177156, -0.28128381218347287, -0.04503064182426897, -0.11969493092800365, -0.20538715252445805, 0.3788732885430498, 0.25252662749240967, 0.2042316956687029, 0.11925845826907014, 0.3676552342388917, 0.07038345512032888, 0.09867832414305734, 0.16751060912954724, 0.1469923193166054, 0.05694532835925067, 0.07581780232592589, -0.17468630855782302, 0.1245293707491968, 0.09733417729364226] |
710.5897 | Direction-Dependent CMB Power Spectrum and Statistical Anisotropy from
Noncommutative Geometry | Modern cosmology has now emerged as a testing ground for theories beyond the
standard model of particle physics. In this paper, we consider quantum
fluctuations of the inflaton scalar field on certain noncommutative spacetimes
and look for noncommutative corrections in the cosmic microwave background
(CMB) radiation. Inhomogeneities in the distribution of large scale structure
and anisotropies in the CMB radiation can carry traces of noncommutativity of
the early universe. We show that its power spectrum becomes direction-dependent
when spacetime is noncommutative. (The effects due to noncommutativity can be
observed experimentally in the distribution of large scale structure of matter
as well.) Furthermore, we have shown that the probability distribution
determining the temperature fluctuations is not Gaussian for our noncommutative
spacetimes.
| astro-ph gr-qc hep-ph hep-th math.QA | modern cosmology has now emerged as a testing ground for theories beyond the standard model of particle physics in this paper we consider quantum fluctuations of the inflaton scalar field on certain noncommutative spacetimes and look for noncommutative corrections in the cosmic microwave background cmb radiation inhomogeneities in the distribution of large scale structure and anisotropies in the cmb radiation can carry traces of noncommutativity of the early universe we show that its power spectrum becomes directiondependent when spacetime is noncommutative the effects due to noncommutativity can be observed experimentally in the distribution of large scale structure of matter as well furthermore we have shown that the probability distribution determining the temperature fluctuations is not gaussian for our noncommutative spacetimes | [['modern', 'cosmology', 'has', 'now', 'emerged', 'as', 'a', 'testing', 'ground', 'for', 'theories', 'beyond', 'the', 'standard', 'model', 'of', 'particle', 'physics', 'in', 'this', 'paper', 'we', 'consider', 'quantum', 'fluctuations', 'of', 'the', 'inflaton', 'scalar', 'field', 'on', 'certain', 'noncommutative', 'spacetimes', 'and', 'look', 'for', 'noncommutative', 'corrections', 'in', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'radiation', 'inhomogeneities', 'in', 'the', 'distribution', 'of', 'large', 'scale', 'structure', 'and', 'anisotropies', 'in', 'the', 'cmb', 'radiation', 'can', 'carry', 'traces', 'of', 'noncommutativity', 'of', 'the', 'early', 'universe', 'we', 'show', 'that', 'its', 'power', 'spectrum', 'becomes', 'directiondependent', 'when', 'spacetime', 'is', 'noncommutative', 'the', 'effects', 'due', 'to', 'noncommutativity', 'can', 'be', 'observed', 'experimentally', 'in', 'the', 'distribution', 'of', 'large', 'scale', 'structure', 'of', 'matter', 'as', 'well', 'furthermore', 'we', 'have', 'shown', 'that', 'the', 'probability', 'distribution', 'determining', 'the', 'temperature', 'fluctuations', 'is', 'not', 'gaussian', 'for', 'our', 'noncommutative', 'spacetimes']] | [-0.12933223744136438, 0.20288677031639962, -0.12570795423040787, 0.1611685161216883, -0.059645318007096645, -0.0796300576805758, -0.10355790136478997, 0.3077914098122468, -0.25439415910126023, -0.28936964124053094, 0.06309826806633888, -0.2729689117676268, -0.1008252818758289, 0.18144858703308273, -0.02479284504467311, 0.036665950408011364, -0.0386942939219504, 0.017288475930915106, -0.04868915571714751, -0.23911055291537195, 0.37242500208473456, 0.1804376521409722, 0.2879138674684024, 0.050568364886567, 0.08923781089906697, -0.032643303386187955, -0.03993988368504991, 0.04318807241118824, -0.10903111991998836, 0.021418512913320833, 0.2042939035532375, 0.1258312433686418, 0.18895010312165444, -0.40652749001358945, -0.2796987573460986, 0.16311816348461433, 0.16050807967937242, 0.1720783240045421, -0.05594595042154348, -0.2699775957191984, 0.03565646057444004, -0.1771257188403979, -0.12395946171988423, -0.08198093499716681, 0.00506652634164008, -0.048040958548275135, -0.22829873013639979, 0.0939014024741482, 0.025297744732233694, 0.02587270363001153, -0.04566971152186549, -0.056151294219307604, 0.016344113209440063, 0.07211105450138953, 0.0807834616411128, 0.01064256130096813, 0.1765708796485948, -0.15441119219370497, -0.10046588669162398, 0.4239071349923809, -0.11492476730297009, -0.17191659452704092, 0.0737529505432273, -0.2599349362077191, -0.15944145380829772, 0.06891990453974965, 0.15980161454839012, 0.09379610784429436, -0.1019755959778801, 0.21836771328526083, 0.016854161924372116, 0.1566243471655374, 0.07194134433132907, 0.09154151879774872, 0.3111084328343471, 0.09891286361768531, 0.04905290846751693, 0.12578310969547601, -0.10750118446497557, -0.11669640919329444, -0.3481834682403132, -0.129956582809488, -0.18792888120903323, 0.10826820124263274, -0.15337385333817413, -0.21717842136737697, 0.37274937230007105, 0.18651907051292557, 0.1751725538711374, 0.006964120003006732, 0.2851406320774307, 0.08197917181047766, 0.04876890536785747, 0.03964859671832528, 0.29944066650544604, 0.1551525924859258, 0.1296327086786429, -0.20185813901480287, -0.0005567992688156664, -0.017669093996907272] |
710.5898 | A Non-linear Dynamical Systems' Proof of Kraft-McMillan Inequality and
its Converse | In this short paper, we shall provide a dynamical systems' proof of the
famous Kraft-McMillan inequality and its converse. Kraft-McMillan inequality is
a basic result in information theory which gives a necessary and sufficient
condition for the lengths of the codewords of a code to be uniquely decodable.
| nlin.CD | in this short paper we shall provide a dynamical systems proof of the famous kraftmcmillan inequality and its converse kraftmcmillan inequality is a basic result in information theory which gives a necessary and sufficient condition for the lengths of the codewords of a code to be uniquely decodable | [['in', 'this', 'short', 'paper', 'we', 'shall', 'provide', 'a', 'dynamical', 'systems', 'proof', 'of', 'the', 'famous', 'kraftmcmillan', 'inequality', 'and', 'its', 'converse', 'kraftmcmillan', 'inequality', 'is', 'a', 'basic', 'result', 'in', 'information', 'theory', 'which', 'gives', 'a', 'necessary', 'and', 'sufficient', 'condition', 'for', 'the', 'lengths', 'of', 'the', 'codewords', 'of', 'a', 'code', 'to', 'be', 'uniquely', 'decodable']] | [-0.19256010650618313, 0.07997640338241278, -0.15565429404765987, 0.10969644786867623, -0.06798562523908913, -0.2264808118173581, 0.06717204562058517, 0.2627991804620251, -0.3195489816522847, -0.23702698243626705, 0.15986743666871917, -0.20349005768851688, -0.18667838835002235, 0.19158609298756346, -0.1386073228980725, 0.028889644579370117, 0.06168440177377003, 0.07341075823993985, -0.07310147425353837, -0.2810402084530021, 0.2894997391946769, 0.05057828749219576, 0.20114037680226224, 0.16794059140374884, 0.10352087158632155, 0.032383249199483544, 0.013397254636705233, -0.01991632395462754, -0.23429067353329933, 0.16162398774758913, 0.24766933425174406, 0.23047605816585323, 0.2536661965617289, -0.35473877521386993, -0.1454230911913328, 0.08590259980216312, 0.10550649609649554, 0.15438636034317219, -0.023056778950073447, -0.23400613783936328, 0.13356386592689282, -0.13915904595827064, -0.16314986134724072, -0.005770823821270217, 0.010237969341687858, 0.021806692066699423, -0.33285305672325194, 0.08774893557225975, 0.16791663226407158, 0.060328049992676824, -0.054826139191087954, -0.005646684837605183, 0.06834453208527218, 0.10568846816507478, -0.00561493715455678, 0.04307357210927876, 0.010178085055182843, -0.03186222681445846, -0.0959673482963505, 0.35949105482238036, -0.0074007743411736255, -0.20426726221921854, 0.11813360122808565, -0.08316654363685909, -0.16226299378710488, 0.08454032582812943, 0.15217037491189936, 0.13080805645828755, -0.177662885337971, 0.07730781861027936, -0.13110696175135672, 0.16286645701620728, 0.07007824765363087, 0.1305762433912605, 0.1397420885041356, 0.10505309298362893, 0.09556727093877271, 0.1850418328710172, 0.02703907893737778, -0.025949330040020868, -0.3701079778062801, -0.21028903064628443, -0.20122480734911127, 0.11224411817966029, -0.08132522142780847, -0.14477617421653122, 0.3707035920427491, 0.1050652196475615, 0.12373819641652517, 0.12335441909332683, 0.27185851133738953, 0.07034096767286731, 0.05163647065637633, 0.09161232628199893, 0.16568533362199864, 0.23471514284028672, 0.07708611199632287, -0.10634297665092163, 0.0641341205240072, 0.15547978842126517] |
710.5899 | BCFT and Ribbon Graphs as tools for open/closed string dualities | In the framework of simplicial models, we construct and we fully characterize
a scalar boundary conformal field theory on a triangulated Riemann surface. The
results are analysed from a string theory perspective as tools to deal with
open/closed string dualities.
| hep-th | in the framework of simplicial models we construct and we fully characterize a scalar boundary conformal field theory on a triangulated riemann surface the results are analysed from a string theory perspective as tools to deal with openclosed string dualities | [['in', 'the', 'framework', 'of', 'simplicial', 'models', 'we', 'construct', 'and', 'we', 'fully', 'characterize', 'a', 'scalar', 'boundary', 'conformal', 'field', 'theory', 'on', 'a', 'triangulated', 'riemann', 'surface', 'the', 'results', 'are', 'analysed', 'from', 'a', 'string', 'theory', 'perspective', 'as', 'tools', 'to', 'deal', 'with', 'openclosed', 'string', 'dualities']] | [-0.10896598675171845, 0.10045022746780888, -0.1392239197215531, 0.1756973351817578, -0.09416541908867657, -0.17866283004404976, -0.04344474927638657, 0.32965854764916, -0.2733604583889246, -0.2397131097270176, 0.09170665809942875, -0.24847735613584518, -0.22978500649333, 0.14006642131134867, -0.14107963738497348, 0.021696616464760156, 0.035258998279459774, 0.04734327290207148, -0.10496542037872132, -0.22607236008625478, 0.39435752130229956, -0.03295907762367278, 0.2700987326446921, 0.08580754033755511, 0.07553163459524512, -0.06205425455700606, -0.04117844323627651, 0.10449692271649838, -0.21530517518986017, 0.20652778438525274, 0.2877872624475458, 0.09723456500796601, 0.13439899357035756, -0.5097459139302373, -0.27853727973997594, 0.012293969048187137, 0.06503490098984913, 0.16235657451907173, -0.00805264505033847, -0.30115736145526173, 0.12376425927504897, -0.14169732776936145, -0.16661172518506645, -0.0758592618862167, -0.049382610767497684, -0.10323323323391378, -0.21647377363406123, -0.04784695084672421, -0.01689395178691484, 0.10735595505684614, -0.12062021096935496, -0.0014678023871965706, -0.06433810915332287, 0.08272453729296103, 0.06389392961282284, 0.11508084908127784, 0.08571378763299435, -0.18433502420666628, -0.169778730001417, 0.3182121250778437, -0.11013869340531528, -0.27801412597182207, 0.15023685497872066, -0.08664643538650126, -0.1929663060232997, 0.07299946728162468, 0.14324326009955257, 0.18009475646540524, -0.11755113510880619, 0.26905224732909117, -0.06941233365505468, 0.08242081785574555, 0.08364205412799493, -0.017331387661397458, 0.2900489972671494, 0.11583951134234667, -0.003394619992468506, 0.19977978517417797, -0.020618651580298318, -0.16072009266354143, -0.40595110424328595, -0.12791170869022608, -0.10814981347648427, 0.10674799038097263, -0.1118493304002186, -0.25746328332461416, 0.3450247851200402, 0.10837213988597796, 0.1620822642958956, 0.1505129147786647, 0.21530661969445647, 0.05299479763198178, 0.04576178160496056, 0.038643757137469946, 0.12562427705270238, 0.28898073234595356, 0.050560339537332764, -0.11154743541846983, -0.14087542410707102, 0.2521285198163241] |
710.59 | Exponential inequalities for empirical unbounded context trees | In this paper we obtain non-uniform exponential upper bounds for the rate of
convergence of a version of the algorithm Context, when the underlying tree is
not necessarily bounded. The algorithm Context is a well-known tool to estimate
the context tree of a Variable Length Markov Chain. As a consequence of the
exponential bounds we obtain a strong consistency result. We generalize in this
way several previous results in the field.
| math.ST math.PR stat.TH | in this paper we obtain nonuniform exponential upper bounds for the rate of convergence of a version of the algorithm context when the underlying tree is not necessarily bounded the algorithm context is a wellknown tool to estimate the context tree of a variable length markov chain as a consequence of the exponential bounds we obtain a strong consistency result we generalize in this way several previous results in the field | [['in', 'this', 'paper', 'we', 'obtain', 'nonuniform', 'exponential', 'upper', 'bounds', 'for', 'the', 'rate', 'of', 'convergence', 'of', 'a', 'version', 'of', 'the', 'algorithm', 'context', 'when', 'the', 'underlying', 'tree', 'is', 'not', 'necessarily', 'bounded', 'the', 'algorithm', 'context', 'is', 'a', 'wellknown', 'tool', 'to', 'estimate', 'the', 'context', 'tree', 'of', 'a', 'variable', 'length', 'markov', 'chain', 'as', 'a', 'consequence', 'of', 'the', 'exponential', 'bounds', 'we', 'obtain', 'a', 'strong', 'consistency', 'result', 'we', 'generalize', 'in', 'this', 'way', 'several', 'previous', 'results', 'in', 'the', 'field']] | [-0.11099626379690959, 0.07848166280203092, -0.10941980279404932, 0.12788637913763523, -0.08483932846763605, -0.07425203711502779, 0.09564511589607565, 0.3372972949840863, -0.28494477557989073, -0.29539172367100985, 0.15910175240198543, -0.1684937646914221, -0.16248524275323062, 0.218348846233017, -0.0806881952637308, 0.04977781147184506, 0.06748643800170279, 0.08390488197476091, -0.04019186955312608, -0.2601255153102512, 0.2806960108204627, 0.07094665573463893, 0.2679305192292996, 0.06452253295279199, 0.07250622437584778, 0.01579324887330893, -0.0354588180255722, 0.030220268438504616, -0.19788715244651262, 0.13647661199399702, 0.19384752917037884, 0.13726841889216868, 0.28774289327712965, -0.36315497351010184, -0.18163096007536833, 0.1767757425255234, 0.17179836016673017, 0.1727983000045511, -0.04320031052789795, -0.22699307204342226, 0.11478634848928368, -0.1639325926834586, -0.1582772479930394, -0.014052220534953013, -0.041233849834690105, 0.03232441320490669, -0.3236761334037382, 0.05533555619628497, 0.18845707950720064, 0.01363700154380099, -0.04816933194975513, -0.06775769689054766, 0.07675136733327953, 0.08215017890119859, 0.0651141955438529, 0.07362033120474555, 0.05525211926261094, -0.10485963702110022, -0.15135488318095744, 0.3044715669058578, -0.15647985079837307, -0.212580912444793, 0.15760502632392545, -0.1233344111381702, -0.19844098900720267, 0.07718965857171677, 0.18621950477204272, 0.14556951253530634, -0.15550912280249718, 0.16490742530096586, -0.1233106416741937, 0.14132467570754004, 0.045516816754891, 0.059409523015500794, 0.09519938687780793, 0.16551576409502033, 0.15396403231408815, 0.21448350308502329, -0.04722446034019682, -0.10565109630312089, -0.3260311940078243, -0.16660318379355987, -0.16974226639501122, 0.006740879100414557, -0.1402505295429851, -0.20630603325290894, 0.38387486080862054, 0.14662389545235424, 0.22994749127349384, 0.16291682431343155, 0.28969933858639757, 0.1469324709122843, 0.0010669477477433607, 0.09411999488533901, 0.16997250824720717, 0.1861690501698857, 0.05778693199210184, -0.15118147592834183, 0.127730038613868, 0.1634352487832895] |
710.5901 | Quantum Cohomology and Crepant Resolutions: A Conjecture | We give an expository account of a conjecture, developed by
Coates--Corti--Iritani--Tseng and Ruan, which relates the quantum cohomology of
a Gorenstein orbifold X to the quantum cohomology of a crepant resolution Y of
X. We explore some consequences of this conjecture, showing that it implies
versions of both the Cohomological Crepant Resolution Conjecture and of the
Crepant Resolution Conjectures of Ruan and Bryan--Graber. We also give a
"quantized" version of the conjecture, which determines higher-genus
Gromov--Witten invariants of X from those of Y.
| math.AG math-ph math.MP | we give an expository account of a conjecture developed by coatescortiiritanitseng and ruan which relates the quantum cohomology of a gorenstein orbifold x to the quantum cohomology of a crepant resolution y of x we explore some consequences of this conjecture showing that it implies versions of both the cohomological crepant resolution conjecture and of the crepant resolution conjectures of ruan and bryangraber we also give a quantized version of the conjecture which determines highergenus gromovwitten invariants of x from those of y | [['we', 'give', 'an', 'expository', 'account', 'of', 'a', 'conjecture', 'developed', 'by', 'coatescortiiritanitseng', 'and', 'ruan', 'which', 'relates', 'the', 'quantum', 'cohomology', 'of', 'a', 'gorenstein', 'orbifold', 'x', 'to', 'the', 'quantum', 'cohomology', 'of', 'a', 'crepant', 'resolution', 'y', 'of', 'x', 'we', 'explore', 'some', 'consequences', 'of', 'this', 'conjecture', 'showing', 'that', 'it', 'implies', 'versions', 'of', 'both', 'the', 'cohomological', 'crepant', 'resolution', 'conjecture', 'and', 'of', 'the', 'crepant', 'resolution', 'conjectures', 'of', 'ruan', 'and', 'bryangraber', 'we', 'also', 'give', 'a', 'quantized', 'version', 'of', 'the', 'conjecture', 'which', 'determines', 'highergenus', 'gromovwitten', 'invariants', 'of', 'x', 'from', 'those', 'of', 'y']] | [-0.21513024321476737, -0.02209006058994024, -0.1889049600338541, 0.12063371709194483, -0.029113638742142414, -0.20245504258088318, -0.01553049957918295, 0.2717768402254007, -0.2977421439914818, -0.24932024883757153, 0.05809831218120743, -0.18143442923172254, -0.15472603800246515, 0.15611976697053537, -0.24751576283071414, -0.01886244559189282, 0.05645485297518681, -0.003015498058444046, -0.13302616263088962, -0.4014341232467847, 0.40337827458349335, -0.0005173613289258925, 0.20216156827869364, 0.18356939466355973, 0.19027301146794695, 0.02361218208525644, -0.024239964143608708, -0.013271846225013933, -0.22356847591225845, 0.15554210276578564, 0.30747191505001703, 0.09448878642687776, 0.14307438474462694, -0.36709782539541463, -0.10375327777807568, 0.11357658928686595, 0.09022928825358675, 0.0511109148382198, -0.020190355943022185, -0.2997465962880706, 0.1401615515744022, -0.15094663635883704, -0.19725758421335773, -0.07870295508035335, 0.03059609930019781, -0.013779813923076334, -0.1732212691399527, 0.017172867507626113, 0.12824116570661853, 0.12401089330865855, -0.027771021587302887, -0.0743176300101072, -0.0977996729920248, 0.04046102394967015, 0.008063896386659738, 0.06435355179976807, 0.018032271628890813, -0.15102013162090386, -0.16999381983720036, 0.32820822042693576, -0.012847893038226, -0.1645586675549128, 0.06630930847611773, -0.18812297146026807, -0.2251603100392743, 0.12176915602786578, -0.023048818358276265, 0.2060605804379805, 0.05452271426343415, 0.20633115334203467, -0.16456936966313654, 0.0725219040794904, 0.14354251512517052, 0.05076120467996786, 0.18303459410342465, 0.05953060770519527, 0.03526092092899314, 0.10863874909883163, -0.046115819791174795, 0.0008933699454169676, -0.37655877224057466, -0.2828950858843255, -0.09992271977342126, 0.2760496499936983, -0.09120496448233908, -0.11294766388698874, 0.392793681696955, 0.13542585779564925, 0.21887843136911292, 0.14331093885240156, 0.19422232209289647, 0.01715000466365053, -0.033005627388336574, 0.005605905299938946, 0.07597689958834875, 0.2911570374040404, 0.03222851365445608, -0.1423128359328327, -0.0534454469221184, 0.27348572765308693] |
710.5902 | Converse Sturm-Hurwitz-Kellogg theorem and related results | The classical Sturm-Hurwitz-Kellogg theorem asserts that a function,
orthogonal to an n-dimensional Chebyshev system on a circle, has at least n+1
sign changes. We prove the converse: given an n-dimensional Chebyshev system on
a circle and a function with at least n+1 sign changes, there exists an
orientation preserving diffeomorphism of the circle that takes this function to
a function, orthogonal to the Chebyshev system. We also prove that if a
function on the real projective line has at least four sign changes then there
exists an orientation preserving diffeomorphism of the projective line that
takes this function to the Schwarzian derivative of some function. These
results extend the converse four vertex theorem of H. Gluck and B. Dahlberg: a
function on a circle with at least two local maxima and two local minima is the
curvature of a closed plane curve.
| math.DG math.CA | the classical sturmhurwitzkellogg theorem asserts that a function orthogonal to an ndimensional chebyshev system on a circle has at least n1 sign changes we prove the converse given an ndimensional chebyshev system on a circle and a function with at least n1 sign changes there exists an orientation preserving diffeomorphism of the circle that takes this function to a function orthogonal to the chebyshev system we also prove that if a function on the real projective line has at least four sign changes then there exists an orientation preserving diffeomorphism of the projective line that takes this function to the schwarzian derivative of some function these results extend the converse four vertex theorem of h gluck and b dahlberg a function on a circle with at least two local maxima and two local minima is the curvature of a closed plane curve | [['the', 'classical', 'sturmhurwitzkellogg', 'theorem', 'asserts', 'that', 'a', 'function', 'orthogonal', 'to', 'an', 'ndimensional', 'chebyshev', 'system', 'on', 'a', 'circle', 'has', 'at', 'least', 'n1', 'sign', 'changes', 'we', 'prove', 'the', 'converse', 'given', 'an', 'ndimensional', 'chebyshev', 'system', 'on', 'a', 'circle', 'and', 'a', 'function', 'with', 'at', 'least', 'n1', 'sign', 'changes', 'there', 'exists', 'an', 'orientation', 'preserving', 'diffeomorphism', 'of', 'the', 'circle', 'that', 'takes', 'this', 'function', 'to', 'a', 'function', 'orthogonal', 'to', 'the', 'chebyshev', 'system', 'we', 'also', 'prove', 'that', 'if', 'a', 'function', 'on', 'the', 'real', 'projective', 'line', 'has', 'at', 'least', 'four', 'sign', 'changes', 'then', 'there', 'exists', 'an', 'orientation', 'preserving', 'diffeomorphism', 'of', 'the', 'projective', 'line', 'that', 'takes', 'this', 'function', 'to', 'the', 'schwarzian', 'derivative', 'of', 'some', 'function', 'these', 'results', 'extend', 'the', 'converse', 'four', 'vertex', 'theorem', 'of', 'h', 'gluck', 'and', 'b', 'dahlberg', 'a', 'function', 'on', 'a', 'circle', 'with', 'at', 'least', 'two', 'local', 'maxima', 'and', 'two', 'local', 'minima', 'is', 'the', 'curvature', 'of', 'a', 'closed', 'plane', 'curve']] | [-0.2304914215222952, 0.03436942625145183, -0.10615370698943602, 0.030729612007783395, -0.06334077447969863, -0.14866440233292308, 0.022972948094565713, 0.36070188652750446, -0.29041763986890196, -0.19637322740906732, 0.1055083224270823, -0.30896599540579406, -0.17854741649992817, 0.15586028396026463, -0.07634768054444105, 0.014085977153310962, 0.0059421612775442025, 0.09533706110083096, -0.13617857540990655, -0.267816789752097, 0.32994435693249635, -0.06793251555703633, 0.20429402997994678, 0.09096414639436184, 0.19136954651128316, 0.05355319210347977, 0.043295460165286744, 0.0023629010443621916, -0.12679251276905293, 0.05864616102556135, 0.18658078467169553, 0.1360219355626362, 0.27952130628974303, -0.3554511232407275, -0.1610790285222391, 0.19634042455689282, 0.11228093631724094, 0.02005726804441594, -0.01211254382241808, -0.22210269305088842, 0.08220740684460029, -0.06538525303984259, -0.19236079882169868, 0.005320955675544468, 0.06427392103306367, -0.008029751354128334, -0.2676316694495209, 0.018597381536028156, 0.10081081072542261, 0.11180777495053221, -0.03660712772914281, -0.09480278562599172, -0.06798373840762474, 0.09336435648196555, 0.03588212942308251, 0.16641489319595779, 0.09604107432566081, -0.04538753256532, -0.10895666926240562, 0.33540305338720694, -0.10434225397283568, -0.26577603476491907, 0.1348613038120778, -0.207035750864034, -0.17325768400485633, 0.1338878284637784, 0.09856542660887782, 0.1310374692663656, -0.04869517462711174, 0.12729388879197617, -0.12701662582946374, 0.16894047453682473, 0.10808383576334157, -0.03552273881509372, 0.17426845880476297, 0.020361986935984157, 0.1954289317851001, 0.1494876874713161, -0.05229372583356098, -0.06070841840263588, -0.34582545658481034, -0.16492355165752112, -0.209854540089393, 0.09462835457413754, -0.15863894962786998, -0.19837284443820727, 0.4196576556019115, 0.03745617765350373, 0.2276373344427305, 0.09431820825825557, 0.2653256453993129, 0.17230935530829514, 0.056604280128682044, 0.07682200046982748, 0.1698381903274596, 0.13496141570309797, 0.007876213587133597, -0.18452182343784482, -0.0008556235165513576, 0.17222346580778877] |
710.5903 | Leaky Quantum Graphs: A Review | The aim of this review is to provide an overview of a recent work concerning
``leaky'' quantum graphs described by Hamiltonians given formally by the
expression $-\Delta -\alpha \delta (x-\Gamma)$ with a singular attractive
interaction supported by a graph-like set in $\mathbb{R}^\nu,\: \nu=2,3$. We
will explain how such singular Schr\"odinger operators can be properly defined
for different codimensions of $\Gamma$. Furthermore, we are going to discuss
their properties, in particular, the way in which the geometry of $\Gamma$
influences their spectra and the scattering, strong-coupling asymptotic
behavior, and a discrete counterpart to leaky-graph Hamiltonians using point
interactions. The subject cannot be regarded as closed at present, and we will
add a list of open problems hoping that the reader will take some of them as a
challenge.
| math-ph cond-mat.mes-hall math.AP math.MP math.SP quant-ph | the aim of this review is to provide an overview of a recent work concerning leaky quantum graphs described by hamiltonians given formally by the expression delta alpha delta xgamma with a singular attractive interaction supported by a graphlike set in mathbbrnu nu23 we will explain how such singular schrodinger operators can be properly defined for different codimensions of gamma furthermore we are going to discuss their properties in particular the way in which the geometry of gamma influences their spectra and the scattering strongcoupling asymptotic behavior and a discrete counterpart to leakygraph hamiltonians using point interactions the subject cannot be regarded as closed at present and we will add a list of open problems hoping that the reader will take some of them as a challenge | [['the', 'aim', 'of', 'this', 'review', 'is', 'to', 'provide', 'an', 'overview', 'of', 'a', 'recent', 'work', 'concerning', 'leaky', 'quantum', 'graphs', 'described', 'by', 'hamiltonians', 'given', 'formally', 'by', 'the', 'expression', 'delta', 'alpha', 'delta', 'xgamma', 'with', 'a', 'singular', 'attractive', 'interaction', 'supported', 'by', 'a', 'graphlike', 'set', 'in', 'mathbbrnu', 'nu23', 'we', 'will', 'explain', 'how', 'such', 'singular', 'schrodinger', 'operators', 'can', 'be', 'properly', 'defined', 'for', 'different', 'codimensions', 'of', 'gamma', 'furthermore', 'we', 'are', 'going', 'to', 'discuss', 'their', 'properties', 'in', 'particular', 'the', 'way', 'in', 'which', 'the', 'geometry', 'of', 'gamma', 'influences', 'their', 'spectra', 'and', 'the', 'scattering', 'strongcoupling', 'asymptotic', 'behavior', 'and', 'a', 'discrete', 'counterpart', 'to', 'leakygraph', 'hamiltonians', 'using', 'point', 'interactions', 'the', 'subject', 'can', 'not', 'be', 'regarded', 'as', 'closed', 'at', 'present', 'and', 'we', 'will', 'add', 'a', 'list', 'of', 'open', 'problems', 'hoping', 'that', 'the', 'reader', 'will', 'take', 'some', 'of', 'them', 'as', 'a', 'challenge']] | [-0.14146114971606047, 0.12551630200466643, -0.08714335627613706, 0.08883002159134375, -0.09528888660981723, -0.1440903071211431, 0.03941646549396041, 0.377010150746567, -0.27383894757477667, -0.2557173839249597, 0.08734419548748369, -0.30112766113506234, -0.17220170142891722, 0.19181601650367572, -0.05829584859238248, 0.03532072661928539, 0.04425116497326613, 0.059537379098845294, -0.06035508504540726, -0.2098352807742639, 0.35630245138634375, 0.03157762686014322, 0.16022691373368653, 0.09164002758824802, 0.0243692102431371, -0.0032960179291196224, -0.007273579694653355, 0.04407623677888489, -0.16530506658088462, 0.11975204282418245, 0.2822021674937715, 0.08795365925848954, 0.2529450433959407, -0.4367517487358625, -0.18764482074651836, 0.10868198884372401, 0.17386743620470693, 0.08190789856438298, -0.026773171367373054, -0.29894722993742295, 0.059131591030814515, -0.16353837542939842, -0.20109483777127396, -0.08642113849009189, 0.024780396298747363, 0.048941234931511084, -0.2131654806398442, 0.010045731322854523, 0.08314120492899761, 0.023133212326490505, -0.033438366504136736, -0.09858315714495623, 0.03458743985544333, 0.13248191952914382, 0.007906386483915326, 0.02712005541080565, 0.07483879813805724, -0.11897065003923192, -0.11944642797200464, 0.3906297050013141, -0.06855552437748232, -0.22354106502387466, 0.1624056991175052, -0.11967181749128568, -0.13055447473990048, 0.06981471272214777, 0.16273434377114077, 0.0830902846266083, -0.171187803523219, 0.14366902290586991, -0.018761837374653638, 0.09591262623980297, 0.0500416465554621, 0.05272871651503397, 0.2072967383057231, 0.13303074608630258, 0.03897347343227584, 0.14390833755610438, -0.021679051861388784, -0.04728342740481177, -0.35060789136172044, -0.13165337993492057, -0.16939727742386262, 0.13001415774963637, -0.04312466308128503, -0.16398794242862877, 0.39726890253973757, 0.1330090480761265, 0.23428045852819282, 0.03389100395564694, 0.21717566204546973, 0.1433695461867995, 0.013501702784010626, 0.049231027746133096, 0.20431664495295332, 0.1148791178367944, 0.06990103305896789, -0.17524150174888453, 0.013708651059409823, 0.0616163717854152] |
710.5904 | Thermodynamical limit of general gl(N) spin chains II: Excited states
and energies | We consider the thermodynamical limit of a gl(N) spin chain with arbitrary
representation at each site of the chain. We consider excitations (with holes
and new strings) above the vacuum and compute their corrections in 1/L to the
densities and the energy.
| cond-mat.stat-mech hep-th math-ph math.MP | we consider the thermodynamical limit of a gln spin chain with arbitrary representation at each site of the chain we consider excitations with holes and new strings above the vacuum and compute their corrections in 1l to the densities and the energy | [['we', 'consider', 'the', 'thermodynamical', 'limit', 'of', 'a', 'gln', 'spin', 'chain', 'with', 'arbitrary', 'representation', 'at', 'each', 'site', 'of', 'the', 'chain', 'we', 'consider', 'excitations', 'with', 'holes', 'and', 'new', 'strings', 'above', 'the', 'vacuum', 'and', 'compute', 'their', 'corrections', 'in', '1l', 'to', 'the', 'densities', 'and', 'the', 'energy']] | [-0.14753138624309076, 0.21158977637865714, -0.0032685568467492147, 0.10374802889834557, 0.03504968946799636, -0.10466340710852473, 0.05636089782984484, 0.3299495741015389, -0.23086659985017918, -0.24969529715322314, 0.08321650466781907, -0.3354338678043513, 0.005005246571575602, 0.0933376220276668, 0.04916084281701062, -0.014002034640205758, -0.011505994868154326, 0.11139876830081145, -0.11579363733263952, -0.1903916932531588, 0.35134544347723323, 0.07814413286922943, 0.26824424065472113, 0.05728218646808749, 0.1398323214213763, 0.05553174639187221, 0.06366977481437582, -0.033405712473073175, -0.21096207356701294, 0.11106952811990466, 0.20466996583023242, -0.013067356177738734, 0.14198408898941817, -0.44546288726407857, -0.17123080125366824, 0.13521948736160994, 0.11968022314388127, 0.19714169963706463, 0.022096928951907017, -0.24522321493852706, 0.05814776498646963, -0.2073123857733749, -0.17883616118204027, -0.05593286993514214, 0.007998119951004074, 0.050216198122749724, -0.21927817686948747, 0.05304195411458966, 0.059485340890075476, -0.017071254263144164, -0.08147697894656587, -0.11916817192520414, -0.029746778508914367, 0.12687114462079035, 0.0769665982030953, 0.0009337203532812141, 0.14312846592760511, -0.14903743378818035, -0.12653744056643473, 0.36431072865213665, -0.09008470887229555, -0.19845326825798976, 0.16098749272835752, -0.2083656684761601, -0.16025706733177816, 0.09912442203078951, 0.12807409415004908, 0.14125458372845537, -0.10109111921684373, 0.16314172096844276, 0.03235576226420346, 0.10874884779609385, 0.05053159399401574, 0.07962550936887662, 0.2826317652971262, 0.10920624851825692, 0.044010863395496494, 0.23023196598071427, -0.08544859137119991, -0.08194994637077409, -0.32302517993819146, -0.19127459535818725, -0.17316655823517413, 0.07679929039884537, -0.10065984024030124, -0.19800009875602664, 0.3953051463079949, 0.1296061042826945, 0.2115319079409043, 0.10043193045116607, 0.2160114318156134, 0.1684708171302364, 0.039175098412670195, 0.10513611927273728, 0.16083040662730733, 0.14481512350695475, 0.06083679985299352, -0.26019277083521175, -0.0909897159574376, 0.10161806249414526] |
710.5905 | The plasma picture of the fractional quantum Hall effect with internal
SU(K) symmetries | We consider trial wavefunctions exhibiting SU(K) symmetry which may be
well-suited to grasp the physics of the fractional quantum Hall effect with
internal degrees of freedom. Systems of relevance may be either
spin-unpolarized states (K=2), semiconductors bilayers (K=2,4) or graphene
(K=4). We find that some introduced states are unstable, undergoing phase
separation or phase transition. This allows us to strongly reduce the set of
candidate wavefunctions eligible for a particular filling factor. The stability
criteria are obtained with the help of Laughlin's plasma analogy, which we
systematically generalize to the multicomponent SU(K) case. The validity of
these criteria are corroborated by exact-diagonalization studies, for SU(2) and
SU(4). Furthermore, we study the pair-correlation functions of the ground state
and elementary charged excitations within the multicomponent plasma picture.
| cond-mat.mes-hall cond-mat.str-el | we consider trial wavefunctions exhibiting suk symmetry which may be wellsuited to grasp the physics of the fractional quantum hall effect with internal degrees of freedom systems of relevance may be either spinunpolarized states k2 semiconductors bilayers k24 or graphene k4 we find that some introduced states are unstable undergoing phase separation or phase transition this allows us to strongly reduce the set of candidate wavefunctions eligible for a particular filling factor the stability criteria are obtained with the help of laughlins plasma analogy which we systematically generalize to the multicomponent suk case the validity of these criteria are corroborated by exactdiagonalization studies for su2 and su4 furthermore we study the paircorrelation functions of the ground state and elementary charged excitations within the multicomponent plasma picture | [['we', 'consider', 'trial', 'wavefunctions', 'exhibiting', 'suk', 'symmetry', 'which', 'may', 'be', 'wellsuited', 'to', 'grasp', 'the', 'physics', 'of', 'the', 'fractional', 'quantum', 'hall', 'effect', 'with', 'internal', 'degrees', 'of', 'freedom', 'systems', 'of', 'relevance', 'may', 'be', 'either', 'spinunpolarized', 'states', 'k2', 'semiconductors', 'bilayers', 'k24', 'or', 'graphene', 'k4', 'we', 'find', 'that', 'some', 'introduced', 'states', 'are', 'unstable', 'undergoing', 'phase', 'separation', 'or', 'phase', 'transition', 'this', 'allows', 'us', 'to', 'strongly', 'reduce', 'the', 'set', 'of', 'candidate', 'wavefunctions', 'eligible', 'for', 'a', 'particular', 'filling', 'factor', 'the', 'stability', 'criteria', 'are', 'obtained', 'with', 'the', 'help', 'of', 'laughlins', 'plasma', 'analogy', 'which', 'we', 'systematically', 'generalize', 'to', 'the', 'multicomponent', 'suk', 'case', 'the', 'validity', 'of', 'these', 'criteria', 'are', 'corroborated', 'by', 'exactdiagonalization', 'studies', 'for', 'su2', 'and', 'su4', 'furthermore', 'we', 'study', 'the', 'paircorrelation', 'functions', 'of', 'the', 'ground', 'state', 'and', 'elementary', 'charged', 'excitations', 'within', 'the', 'multicomponent', 'plasma', 'picture']] | [-0.1454654735843799, 0.21502295585112677, -0.08760802322510808, 0.08027686566273341, -0.048606103142013864, -0.16107582102071435, 0.07024626901173699, 0.34060227895332945, -0.18656426644514476, -0.29886689019345103, 0.0568475985330426, -0.26427211291870445, -0.1394873284554619, 0.1348466144926432, 0.029029670572425757, 0.05339715516726885, 0.007377535769981998, -0.03442193766582816, -0.09749582625504229, -0.22287406337942692, 0.30929384624496814, 0.0037064479436681027, 0.25502224038872456, 0.05049587005383468, -0.006071817735949206, 0.025213975772549885, 0.04441243741616961, 0.021928301683002492, -0.16718551408900698, 0.08002130921453326, 0.25272663130927536, 0.003175558799522973, 0.1923585857471658, -0.43038160670714987, -0.19983437208695307, 0.06220938774779262, 0.14529771440558964, 0.15862132436484985, -0.02115472228130481, -0.32714663832337554, 0.027797435430647242, -0.1823111177895159, -0.21745502658646612, -0.13767878594069136, -0.022116229442569118, -0.013574439908436958, -0.24040847362503262, 0.10983167726561309, 0.044196883635965016, 0.018688219813777815, -0.08974019462466314, -0.1534144241928256, -0.05496258944058643, 0.08227878015503169, 0.00770875162469031, 0.005848039564351359, 0.13273002622031888, -0.16104958738784292, -0.15407412988503302, 0.3967548502564785, 0.017959769231282056, -0.19139817752505814, 0.212743702255899, -0.16577361055117631, -0.12214546033831698, 0.14000721025236307, 0.11010180240624495, 0.11467929531834901, -0.10617469702034242, 0.06001402774921781, -0.04246068682654628, 0.1623042365212718, 0.04630838729078985, 0.08919593931863173, 0.2250333273236359, 0.11090988892182294, 0.004219217887443919, 0.18223896925522398, -0.05686567632651459, -0.12579492649935659, -0.28255547192095526, -0.1683181977982352, -0.15888881649348943, 0.07378993100636373, -0.025030468945116145, -0.15466001375563562, 0.40868422059741405, 0.1225904919999829, 0.1352639657460035, -0.025798531561454254, 0.17425931260795408, 0.1400452786457165, 0.03164568512892445, 0.01916947625558971, 0.2271041775148617, 0.1679166904779979, 0.029930018639701995, -0.2644347871786782, -0.016839451152860882, 0.09117369282074154] |
710.5906 | New angles on top quark decay to a charged Higgs | To properly discover a charged Higgs Boson ($H^\pm$) requires its spin and
couplings to be determined. We investigate how to utilize $\ttbar$ spin
correlations to analyze the $H^\pm$ couplings in the decay $t\to bH^+\to
b\tau^+\nu_\tau$. Within the framework of a general Two-Higgs-Doublet Model, we
obtain results on the spin analyzing coefficients for this decay and study in
detail its spin phenomenology, focusing on the limits of large and small values
for $\tan\beta$. Using a Monte Carlo approach to simulate full hadron-level
events, we evaluate systematically how the $H^\pm\to\tau^\pm\nu_\tau$ decay
mode can be used for spin analysis. The most promising observables are obtained
from azimuthal angle correlations in the transverse rest frames of
$t(\bar{t})$. This method is particularly useful for determining the coupling
structure of $H^\pm$ in the large $\tan\beta$ limit, where differences from the
SM are most significant.
| hep-ph | to properly discover a charged higgs boson hpm requires its spin and couplings to be determined we investigate how to utilize ttbar spin correlations to analyze the hpm couplings in the decay tto bhto btaunu_tau within the framework of a general twohiggsdoublet model we obtain results on the spin analyzing coefficients for this decay and study in detail its spin phenomenology focusing on the limits of large and small values for tanbeta using a monte carlo approach to simulate full hadronlevel events we evaluate systematically how the hpmtotaupmnu_tau decay mode can be used for spin analysis the most promising observables are obtained from azimuthal angle correlations in the transverse rest frames of tbart this method is particularly useful for determining the coupling structure of hpm in the large tanbeta limit where differences from the sm are most significant | [['to', 'properly', 'discover', 'a', 'charged', 'higgs', 'boson', 'hpm', 'requires', 'its', 'spin', 'and', 'couplings', 'to', 'be', 'determined', 'we', 'investigate', 'how', 'to', 'utilize', 'ttbar', 'spin', 'correlations', 'to', 'analyze', 'the', 'hpm', 'couplings', 'in', 'the', 'decay', 'tto', 'bhto', 'btaunu_tau', 'within', 'the', 'framework', 'of', 'a', 'general', 'twohiggsdoublet', 'model', 'we', 'obtain', 'results', 'on', 'the', 'spin', 'analyzing', 'coefficients', 'for', 'this', 'decay', 'and', 'study', 'in', 'detail', 'its', 'spin', 'phenomenology', 'focusing', 'on', 'the', 'limits', 'of', 'large', 'and', 'small', 'values', 'for', 'tanbeta', 'using', 'a', 'monte', 'carlo', 'approach', 'to', 'simulate', 'full', 'hadronlevel', 'events', 'we', 'evaluate', 'systematically', 'how', 'the', 'hpmtotaupmnu_tau', 'decay', 'mode', 'can', 'be', 'used', 'for', 'spin', 'analysis', 'the', 'most', 'promising', 'observables', 'are', 'obtained', 'from', 'azimuthal', 'angle', 'correlations', 'in', 'the', 'transverse', 'rest', 'frames', 'of', 'tbart', 'this', 'method', 'is', 'particularly', 'useful', 'for', 'determining', 'the', 'coupling', 'structure', 'of', 'hpm', 'in', 'the', 'large', 'tanbeta', 'limit', 'where', 'differences', 'from', 'the', 'sm', 'are', 'most', 'significant']] | [-0.06991032881984104, 0.18518942551728448, -0.04746111222159337, 0.17296689803590518, -0.05977364391540451, -0.1565368691329187, 0.019367097527720034, 0.3518031577798812, -0.2452899182372836, -0.24545904684483127, 0.043345978774596006, -0.28933788095395463, -0.02977731580989819, 0.18820639778277837, 0.06391812963171534, 0.05876926813107275, 0.08760575399502854, -0.009140289754962878, -0.08324790464864824, -0.20108938521041317, 0.26195400147972736, 0.03304166438551072, 0.22468963115791077, 0.0701885098584599, 0.048758177763802986, 0.06020982136867721, -0.018501619859735537, -0.03089051425237866, -0.1719082207624417, 0.08014761690077755, 0.2183120908705271, 0.047785140156252855, 0.13584999104119455, -0.3256995644119075, -0.0968486996340182, 0.13423951637763393, 0.17718894542229144, 0.1561906184292371, -0.052430886323289835, -0.32535587018355727, 0.118935929827036, -0.19364057681163746, -0.09055608920393485, -0.14047898514271603, -0.03086251302396276, -0.061380507221602945, -0.32986914434150094, 0.08888485837686698, -0.04046050624567536, 0.026620887510944158, 0.02528948795481804, -0.1307491549754666, -0.05090537093415418, 0.08989435418933521, 0.1516511545632966, 0.008001525740837678, 0.15682399099322913, -0.15720615375512886, -0.1532641661247266, 0.37576219562769814, -0.12198918218970956, -0.2502435287963582, 0.15079622563002082, -0.21186070418779684, -0.1707456449571242, 0.10798985932898872, 0.25894235267632587, 0.14580747105783837, -0.2089784010728609, 0.15309720403756194, 0.01908922255354221, 0.15471765555112676, 0.004836786909864339, 0.07584864448333117, 0.2290257991373758, 0.21832349614295013, -0.005069166339714737, 0.11324384614058278, -0.14199473571566426, -0.09931149225860067, -0.33421187499976335, -0.15057186431915717, -0.10793812870221753, 0.045440442094010956, -0.08742225311770573, -0.08711046194109846, 0.4302999977405895, 0.19331756249576917, 0.2571736471111174, 0.020531032104319072, 0.2663741114494555, 0.11000463309670415, 0.08191845308208619, 0.03879696430693216, 0.3403956075952224, 0.1781019167152836, 0.10947335353942916, -0.25406801722163114, 0.042190065086983586, 0.04032298131941763] |
710.5907 | On an extension of the Blaschke-Santalo inequality | Let $K$ be a convex body and $K^\circ$ its polar body. Call
$\phi(K)=\frac{1}{|K||K^\circ|}\int_K\int_{K^\circ}< x,y>^2 dxdy$. It is
conjectured that $\phi(K)$ is maximum when $K$ is the euclidean ball. In
particular this statement implies the Blaschke-Santalo inequality. We verify
this conjecture when $K$ is restricted to be a $p$--ball.
| math.FA | let k be a convex body and kcirc its polar body call phikfrac1kkcircint_kint_kcirc xy2 dxdy it is conjectured that phik is maximum when k is the euclidean ball in particular this statement implies the blaschkesantalo inequality we verify this conjecture when k is restricted to be a pball | [['let', 'k', 'be', 'a', 'convex', 'body', 'and', 'kcirc', 'its', 'polar', 'body', 'call', 'phikfrac1kkcircint_kint_kcirc', 'xy2', 'dxdy', 'it', 'is', 'conjectured', 'that', 'phik', 'is', 'maximum', 'when', 'k', 'is', 'the', 'euclidean', 'ball', 'in', 'particular', 'this', 'statement', 'implies', 'the', 'blaschkesantalo', 'inequality', 'we', 'verify', 'this', 'conjecture', 'when', 'k', 'is', 'restricted', 'to', 'be', 'a', 'pball']] | [-0.1690089682988981, 0.13723489707533984, -0.13393929601706406, 0.02014846603901304, -0.09904940763210997, -0.2146635066341371, 0.009950596006943825, 0.31511040840377197, -0.3019937180141185, -0.16385317645332914, 0.10719898556844588, -0.3009233945098884, -0.1477942443750006, 0.1547414723862993, -0.1729178396152689, -0.019645896444265593, 0.036951422389160764, 0.11492248513597123, -0.04215663407949057, -0.30845744666108427, 0.24412994411714534, -0.07916876328910918, 0.16674240374878208, 0.148836743512607, 0.03138488371598911, 0.021301714911502092, 0.13547323285502957, 0.06318368102384216, -0.1944483706705641, 0.11243528682500759, 0.2763488876851315, 0.18043782445106735, 0.26951473301395457, -0.2874044111355188, -0.16636337477099547, 0.21730816451475976, 0.0970881219651114, -0.016573914227650522, 0.0476619552280952, -0.21435506748867797, 0.19410816853509305, -0.08363940273510649, -0.19308428813089082, -0.012967800735768446, 0.1143767569768936, -0.0721119816632981, -0.32783494485502546, 0.04416586679624433, 0.16162724844477278, 0.07043738074679957, -0.051458090407516255, -0.12199663119192453, 0.007006369927462111, 0.011565332287337948, 0.04213308085231705, 0.21268678533824834, 0.06372208359274775, 0.007122653051021885, -0.04201690834808223, 0.38990659884949946, -0.007270471470311601, -0.227664164089142, 0.06866240917526661, -0.22437966020500405, -0.10584011069558402, 0.1138753180411902, 0.10813111712799427, 0.1877681914657513, -0.08063187237464862, 0.22683549596942923, -0.21768924574110102, 0.1228245395939163, 0.12966952266845297, -0.07097197731243486, 0.1315397078114403, 0.047275031436274345, 0.13262333572307167, 0.2193519319655334, -0.01611377457354931, -0.013750285762263106, -0.3005625624407796, -0.2334302970545089, -0.25210943322707996, 0.12837712058520062, -0.11300414431056235, -0.09915250294069027, 0.2141492543543907, 0.01550205796957016, 0.1801419886463183, 0.10052991268086306, 0.21197242765350544, 0.11333203482184004, 0.04736579014384683, 0.14653086321468048, 0.17998503802463095, 0.19612611865902202, 2.7793637932615078e-05, -0.1701395738315075, 0.060584550594633566, 0.13334621360248072] |
710.5908 | Random repeated interaction quantum systems | We consider a quantum system S interacting sequentially with independent
systems E_m, m=1,2,... Before interacting, each E_m is in a possibly random
state, and each interaction is characterized by an interaction time and an
interaction operator, both possibly random. We prove that any initial state
converges to an asymptotic state almost surely in the ergodic mean, provided
the couplings satisfy a mild effectiveness condition. We analyze the
macroscopic properties of the asymptotic state and show that it satisfies a
second law of thermodynamics.
We solve exactly a model in which S and all the E_m are spins: we find the
exact asymptotic state, in case the interaction time, the temperature, and the
excitation energies of the E_m vary randomly. We analyze a model in which S is
a spin and the E_m are thermal fermion baths and obtain the asymptotic state by
rigorous perturbation theory, for random interaction times varying slightly
around a fixed mean, and for small values of a coupling constant.
| math-ph math.MP | we consider a quantum system s interacting sequentially with independent systems e_m m12 before interacting each e_m is in a possibly random state and each interaction is characterized by an interaction time and an interaction operator both possibly random we prove that any initial state converges to an asymptotic state almost surely in the ergodic mean provided the couplings satisfy a mild effectiveness condition we analyze the macroscopic properties of the asymptotic state and show that it satisfies a second law of thermodynamics we solve exactly a model in which s and all the e_m are spins we find the exact asymptotic state in case the interaction time the temperature and the excitation energies of the e_m vary randomly we analyze a model in which s is a spin and the e_m are thermal fermion baths and obtain the asymptotic state by rigorous perturbation theory for random interaction times varying slightly around a fixed mean and for small values of a coupling constant | [['we', 'consider', 'a', 'quantum', 'system', 's', 'interacting', 'sequentially', 'with', 'independent', 'systems', 'e_m', 'm12', 'before', 'interacting', 'each', 'e_m', 'is', 'in', 'a', 'possibly', 'random', 'state', 'and', 'each', 'interaction', 'is', 'characterized', 'by', 'an', 'interaction', 'time', 'and', 'an', 'interaction', 'operator', 'both', 'possibly', 'random', 'we', 'prove', 'that', 'any', 'initial', 'state', 'converges', 'to', 'an', 'asymptotic', 'state', 'almost', 'surely', 'in', 'the', 'ergodic', 'mean', 'provided', 'the', 'couplings', 'satisfy', 'a', 'mild', 'effectiveness', 'condition', 'we', 'analyze', 'the', 'macroscopic', 'properties', 'of', 'the', 'asymptotic', 'state', 'and', 'show', 'that', 'it', 'satisfies', 'a', 'second', 'law', 'of', 'thermodynamics', 'we', 'solve', 'exactly', 'a', 'model', 'in', 'which', 's', 'and', 'all', 'the', 'e_m', 'are', 'spins', 'we', 'find', 'the', 'exact', 'asymptotic', 'state', 'in', 'case', 'the', 'interaction', 'time', 'the', 'temperature', 'and', 'the', 'excitation', 'energies', 'of', 'the', 'e_m', 'vary', 'randomly', 'we', 'analyze', 'a', 'model', 'in', 'which', 's', 'is', 'a', 'spin', 'and', 'the', 'e_m', 'are', 'thermal', 'fermion', 'baths', 'and', 'obtain', 'the', 'asymptotic', 'state', 'by', 'rigorous', 'perturbation', 'theory', 'for', 'random', 'interaction', 'times', 'varying', 'slightly', 'around', 'a', 'fixed', 'mean', 'and', 'for', 'small', 'values', 'of', 'a', 'coupling', 'constant']] | [-0.19891748573356793, 0.21953118414761988, -0.07910328097012968, 0.048563778793947784, 0.02836219102652755, -0.16168946270870924, 0.05080761172754427, 0.3468140183013801, -0.25953239820429064, -0.2438396858337101, 0.07827165590790586, -0.31586352843174176, -0.0682713742213655, 0.11167419251008816, 0.024210062729297606, 0.0008852146873914814, 0.04949085030881859, 0.1198687318303948, -0.05615335534058191, -0.22735397824931866, 0.3045788295908961, -0.006067551870293275, 0.24549457306282285, 0.03112064830050375, 0.12278827975655511, 0.010808009138627925, 0.08256754093514927, 0.01982554608807425, -0.140974221614413, 0.027015542057257123, 0.17899784118835557, 0.030832275697142614, 0.2570514605077772, -0.3980701890134144, -0.17104198680790655, 0.12449524915302915, 0.12759993922256757, 0.10979558782297776, -0.022522531018058192, -0.26791141577996314, 0.06813847290586246, -0.17326498536701582, -0.17322558517413544, -0.061913700128671215, 0.03139665885685595, 0.035777346422450125, -0.3300921632422626, 0.08313517470164167, 0.07128675793657548, 0.014064436881271607, -0.09730519719444718, -0.09131426754638987, -0.03466386134890508, 0.11682658315424813, 0.04362706440012399, 0.014609299728681156, 0.08833716022410641, -0.12326225532651622, -0.06372343117451193, 0.31865178849662373, -0.09150007105306751, -0.1987992088007598, 0.16367828542012378, -0.13891044350489518, -0.11033386337510853, 0.09548827728679392, 0.1228659583735594, 0.14254034963527307, -0.14909158173400017, 0.15031254050133327, -0.03044063540495521, 0.1780523086042412, 0.023906845039476647, 0.03192760768215075, 0.15887593643267017, 0.1138850072630184, 0.09271399616235239, 0.1612427474754474, -0.040880439865854254, -0.13039731632838128, -0.3184705547234215, -0.1407656373014742, -0.22247991923091395, 0.102906164116129, -0.13319117398118382, -0.16007672742786216, 0.398891158059148, 0.14324198094727986, 0.23353731444825424, 0.07958672520350323, 0.244872274638605, 0.17597441538094194, -0.026770974377647295, 0.13690191822732153, 0.21187028362547144, 0.16495595808123792, 0.04744710334422398, -0.2474683378953444, 0.060378196786380615, 0.0655080111543048] |
710.5909 | Tangles of superpositions and the convex-roof extension | We discuss aspects of the convex-roof extension of multipartite entanglement
measures, that is, $SL(2,\CC)$ invariant tangles. We highlight two key concepts
that contain valuable information about the tangle of a density matrix: the
{\em zero-polytope} is a convex set of density matrices with vanishing tangle
whereas the {\em convex characteristic curve} readily provides a non-trivial
lower bound for the convex roof and serves as a tool for constructing the
convex roof outside the zero-polytope. Both concepts are derived from the
tangle for superpositions of the eigenstates of the density matrix. We
illustrate their application by considering examples of density matrices for
two-qubit and three-qubit states of rank 2, thereby pointing out both the power
and the limitations of the concepts.
| quant-ph cond-mat.other | we discuss aspects of the convexroof extension of multipartite entanglement measures that is sl2cc invariant tangles we highlight two key concepts that contain valuable information about the tangle of a density matrix the em zeropolytope is a convex set of density matrices with vanishing tangle whereas the em convex characteristic curve readily provides a nontrivial lower bound for the convex roof and serves as a tool for constructing the convex roof outside the zeropolytope both concepts are derived from the tangle for superpositions of the eigenstates of the density matrix we illustrate their application by considering examples of density matrices for twoqubit and threequbit states of rank 2 thereby pointing out both the power and the limitations of the concepts | [['we', 'discuss', 'aspects', 'of', 'the', 'convexroof', 'extension', 'of', 'multipartite', 'entanglement', 'measures', 'that', 'is', 'sl2cc', 'invariant', 'tangles', 'we', 'highlight', 'two', 'key', 'concepts', 'that', 'contain', 'valuable', 'information', 'about', 'the', 'tangle', 'of', 'a', 'density', 'matrix', 'the', 'em', 'zeropolytope', 'is', 'a', 'convex', 'set', 'of', 'density', 'matrices', 'with', 'vanishing', 'tangle', 'whereas', 'the', 'em', 'convex', 'characteristic', 'curve', 'readily', 'provides', 'a', 'nontrivial', 'lower', 'bound', 'for', 'the', 'convex', 'roof', 'and', 'serves', 'as', 'a', 'tool', 'for', 'constructing', 'the', 'convex', 'roof', 'outside', 'the', 'zeropolytope', 'both', 'concepts', 'are', 'derived', 'from', 'the', 'tangle', 'for', 'superpositions', 'of', 'the', 'eigenstates', 'of', 'the', 'density', 'matrix', 'we', 'illustrate', 'their', 'application', 'by', 'considering', 'examples', 'of', 'density', 'matrices', 'for', 'twoqubit', 'and', 'threequbit', 'states', 'of', 'rank', '2', 'thereby', 'pointing', 'out', 'both', 'the', 'power', 'and', 'the', 'limitations', 'of', 'the', 'concepts']] | [-0.14877524746892354, 0.13119345244485886, -0.09543805092883607, 0.096042762962558, -0.009346360880105447, -0.15498078790260478, 0.03968893296550959, 0.3000148572959006, -0.26011421844984095, -0.2398034310511624, 0.11515307247949143, -0.270374097385987, -0.15666332277081285, 0.19504185860666137, -0.05947087839595042, 0.07976505814585835, 0.031763673210904626, 0.05318008064059541, -0.12606953893555328, -0.20299980838317425, 0.3740960701368749, 0.0011754638709438345, 0.2471456185138474, 0.10576719287394856, 0.10123903609831662, 0.006247217545751482, -0.020684672424492116, 0.026665860381520665, -0.13439198864762147, 0.15077647417541204, 0.28855586141968764, 0.23283404776205618, 0.2275631822956105, -0.397020483474868, -0.161079383220446, 0.10992221104291579, 0.07219483904773369, 0.09324295135059704, -0.017556382168550044, -0.3032255884259939, 0.046750401748189084, -0.16415497045575952, -0.1625834485515952, -0.11814684560134386, 0.015007115459108414, 0.0039660345336111884, -0.2538851678313222, 0.06378172790282406, 0.08247413994589199, 0.06272326268469139, -0.01995432397137241, -0.15101412148990978, -0.01560226795457614, 0.1096986686810851, -0.023203813917158794, -0.010179287987800005, 0.15916930950479583, -0.1157294283931454, -0.11415834811826547, 0.32190941969553627, -0.03401361223271427, -0.23377986658209313, 0.15138256572536193, -0.1041698684100993, -0.10458879145250345, 0.10204057106457184, 0.10391266797669232, 0.08163584708648462, -0.10081658655932794, 0.09864339801958219, -0.09816585663744869, 0.11269121382356388, 0.06480812942997242, 0.08745204855222255, 0.2001648506867544, 0.07167938800218204, 0.14780375362218667, 0.21527597733268825, -0.04986670971071969, -0.12586479807117332, -0.33897141481284054, -0.2153642709197205, -0.24130177032590533, 0.0430020835949108, -0.11483923447049164, -0.147583383830109, 0.45427794425437845, 0.04130210107347618, 0.16980513727176003, 0.10108481384037683, 0.2817610934493132, 0.08504484354064819, 0.037594083444370575, 0.10186527385376394, 0.16088830990095934, 0.2235398234935322, 0.000219501667500784, -0.19921466230686444, 0.05159160244123389, 0.09292701321925657] |
710.591 | Neutronic Characterization of the Megapie Target | The MEGAPIE project is one of the key experiments towards the feasibility of
Accelerator Driven Systems. On-line operation and post-irradiation analysis
will provide the scientific community with unique data on the behavior of a
liquid spallation target under realistic irradiation conditions. A good
neutronics performance of such a target is of primary importance towards an
intense neutron source, where an extended liquid metal loop requires some
dedicated verifications related to the delayed neutron activity of the
irradiated PbBi. In this paper we report on the experimental characterization
of the MEGAPIE neutronics in terms of the prompt neutron (PN) flux inside the
target and the delayed neutron (DN) flux on the top of it. For the PN
measurements, a complex detector, made of 8 microscopic fission chambers, has
been built and installed in the central part of the target to measure the
absolute neutron flux and its spatial distribution. Moreover, integral
information on the neutron energy distribution as a function of the position
along the beam axis could be extracted, providing integral constraints on the
neutron production models implemented in transport codes such as MCNPX. For the
DN measurement, we used a standard 3He counter and we acquired data during the
start-up phase of the target irradiation in order to take sufficient statistics
at variable beam power. Experimental results obtained on the PN flux
characteristics and their comparison with MCNPX simulations are presented,
together with a preliminary analysis of the DN decay time spectrum.
| nucl-ex | the megapie project is one of the key experiments towards the feasibility of accelerator driven systems online operation and postirradiation analysis will provide the scientific community with unique data on the behavior of a liquid spallation target under realistic irradiation conditions a good neutronics performance of such a target is of primary importance towards an intense neutron source where an extended liquid metal loop requires some dedicated verifications related to the delayed neutron activity of the irradiated pbbi in this paper we report on the experimental characterization of the megapie neutronics in terms of the prompt neutron pn flux inside the target and the delayed neutron dn flux on the top of it for the pn measurements a complex detector made of 8 microscopic fission chambers has been built and installed in the central part of the target to measure the absolute neutron flux and its spatial distribution moreover integral information on the neutron energy distribution as a function of the position along the beam axis could be extracted providing integral constraints on the neutron production models implemented in transport codes such as mcnpx for the dn measurement we used a standard 3he counter and we acquired data during the startup phase of the target irradiation in order to take sufficient statistics at variable beam power experimental results obtained on the pn flux characteristics and their comparison with mcnpx simulations are presented together with a preliminary analysis of the dn decay time spectrum | [['the', 'megapie', 'project', 'is', 'one', 'of', 'the', 'key', 'experiments', 'towards', 'the', 'feasibility', 'of', 'accelerator', 'driven', 'systems', 'online', 'operation', 'and', 'postirradiation', 'analysis', 'will', 'provide', 'the', 'scientific', 'community', 'with', 'unique', 'data', 'on', 'the', 'behavior', 'of', 'a', 'liquid', 'spallation', 'target', 'under', 'realistic', 'irradiation', 'conditions', 'a', 'good', 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710.5911 | The motivic zeta function and its smallest poles | Let f be a regular function on a nonsingular complex algebraic variety of
dimension d. We prove a formula for the motivic zeta function of f in terms of
an embedded resolution. This formula is over the Grothendieck ring itself, and
specializes to the formula of Denef and Loeser over a certain localization. We
also show that the space of n-jets satisfying f=0 can be partitioned into
locally closed subsets which are isomorphic to a cartesian product of some
variety with an affine space of dimension the round up of dn/2. Finally, we
look at the consequences for the poles of the motivic zeta function.
| math.AG | let f be a regular function on a nonsingular complex algebraic variety of dimension d we prove a formula for the motivic zeta function of f in terms of an embedded resolution this formula is over the grothendieck ring itself and specializes to the formula of denef and loeser over a certain localization we also show that the space of njets satisfying f0 can be partitioned into locally closed subsets which are isomorphic to a cartesian product of some variety with an affine space of dimension the round up of dn2 finally we look at the consequences for the poles of the motivic zeta function | [['let', 'f', 'be', 'a', 'regular', 'function', 'on', 'a', 'nonsingular', 'complex', 'algebraic', 'variety', 'of', 'dimension', 'd', 'we', 'prove', 'a', 'formula', 'for', 'the', 'motivic', 'zeta', 'function', 'of', 'f', 'in', 'terms', 'of', 'an', 'embedded', 'resolution', 'this', 'formula', 'is', 'over', 'the', 'grothendieck', 'ring', 'itself', 'and', 'specializes', 'to', 'the', 'formula', 'of', 'denef', 'and', 'loeser', 'over', 'a', 'certain', 'localization', 'we', 'also', 'show', 'that', 'the', 'space', 'of', 'njets', 'satisfying', 'f0', 'can', 'be', 'partitioned', 'into', 'locally', 'closed', 'subsets', 'which', 'are', 'isomorphic', 'to', 'a', 'cartesian', 'product', 'of', 'some', 'variety', 'with', 'an', 'affine', 'space', 'of', 'dimension', 'the', 'round', 'up', 'of', 'dn2', 'finally', 'we', 'look', 'at', 'the', 'consequences', 'for', 'the', 'poles', 'of', 'the', 'motivic', 'zeta', 'function']] | [-0.20419177179712625, 0.03425081918886419, -0.13496563512432788, 0.0464094559246275, -0.06874713934957981, -0.11280630986161885, -0.009913704273778768, 0.3067981105120409, -0.3335060431134133, -0.1758139456966005, 0.07179136506047576, -0.2005218849650451, -0.15217779564139033, 0.24710829641581292, -0.10967380546609916, -0.03321523837567795, 0.010651152804937392, 0.11921989892919858, -0.1098746186809703, -0.31161017655616713, 0.3919452455249571, -0.05601611298819383, 0.1784430885665296, 0.08452823888953953, 0.10683809143402392, 0.02165401217117462, 0.018138072524397145, 0.01737838377455427, -0.16029547221682844, 0.11711752077154372, 0.2790312278794036, 0.12803037949571652, 0.22807291137786315, -0.3593265501161416, -0.14421745656679075, 0.19216198064386844, 0.1607848616472135, -0.03290631463862068, 0.03729405557581534, -0.26826172650215174, 0.14318812559580518, -0.19647064366865727, -0.16875598346371026, -0.0794872544528473, 0.08313357959324051, 0.03082907699225914, -0.2918239595368505, -0.03539413654805339, 0.05606586342411382, 0.09784637685155585, -0.08914377548332725, -0.09381683869841731, -0.04028863362701876, 0.08171343899864171, -0.017840369238651226, 0.11784972279731716, 0.06818093237954946, -0.08530935128662913, -0.0682225535224591, 0.3424697752432188, -0.06513765370306958, -0.24694367130952222, 0.11602460319797198, -0.19122956203562871, -0.12993234279343768, 0.14070654324300233, 0.10022162958270027, 0.1831221492517562, -0.0009816393344884828, 0.2033601439325139, -0.11891365600306364, 0.0772160582421791, 0.13232168974354863, 0.02329110414942815, 0.1626023575175731, 0.061719041113697345, 0.06861892854822578, 0.18014090012182438, -0.019833622639998792, -0.04026764009502672, -0.3682628413573617, -0.241002947406932, -0.14577385622902683, 0.16532301091189897, -0.1612273896448425, -0.2104758472714041, 0.41785252386083205, 0.024143986860733657, 0.2365068819107754, 0.13171868947046322, 0.24885384794324636, 0.1295908224547193, 0.07113694839312562, 0.031478045697856165, 0.06046834592624301, 0.16281452976122854, -0.043366548483304325, -0.13116777257195542, -0.0008366397138507593, 0.18394630786386273] |
710.5912 | The need for inertia in nonequilibrium steady states of sheared binary
fluids | We study numerically phase separation in a binary fluid subject to an applied
shear flow in two dimensions, with full hydrodynamics. To do so, we introduce a
mixed finite-differencing/spectral simulation technique, with a transformation
to render trivial the implementation of Lees-Edwards sheared periodic boundary
conditions. For systems with inertia, we reproduce the nonequilibrium steady
states reported in a recent lattice Boltzmann study. The domain coarsening that
would occur in zero shear is arrested by the applied shear flow, which restores
a finite domain size set by the inverse shear rate. For inertialess systems, in
contrast, we find no evidence of nonequilibrium steady states free of finite
size effects: coarsening persists indefinitely until the typical domain size
attains the system size, as in zero shear. We present an analytical argument
that supports this observation, and that furthermore provides a possible
explanation for a hitherto puzzling property of the nonequilibrium steady
states with inertia.
| cond-mat.stat-mech cond-mat.soft | we study numerically phase separation in a binary fluid subject to an applied shear flow in two dimensions with full hydrodynamics to do so we introduce a mixed finitedifferencingspectral simulation technique with a transformation to render trivial the implementation of leesedwards sheared periodic boundary conditions for systems with inertia we reproduce the nonequilibrium steady states reported in a recent lattice boltzmann study the domain coarsening that would occur in zero shear is arrested by the applied shear flow which restores a finite domain size set by the inverse shear rate for inertialess systems in contrast we find no evidence of nonequilibrium steady states free of finite size effects coarsening persists indefinitely until the typical domain size attains the system size as in zero shear we present an analytical argument that supports this observation and that furthermore provides a possible explanation for a hitherto puzzling property of the nonequilibrium steady states with inertia | [['we', 'study', 'numerically', 'phase', 'separation', 'in', 'a', 'binary', 'fluid', 'subject', 'to', 'an', 'applied', 'shear', 'flow', 'in', 'two', 'dimensions', 'with', 'full', 'hydrodynamics', 'to', 'do', 'so', 'we', 'introduce', 'a', 'mixed', 'finitedifferencingspectral', 'simulation', 'technique', 'with', 'a', 'transformation', 'to', 'render', 'trivial', 'the', 'implementation', 'of', 'leesedwards', 'sheared', 'periodic', 'boundary', 'conditions', 'for', 'systems', 'with', 'inertia', 'we', 'reproduce', 'the', 'nonequilibrium', 'steady', 'states', 'reported', 'in', 'a', 'recent', 'lattice', 'boltzmann', 'study', 'the', 'domain', 'coarsening', 'that', 'would', 'occur', 'in', 'zero', 'shear', 'is', 'arrested', 'by', 'the', 'applied', 'shear', 'flow', 'which', 'restores', 'a', 'finite', 'domain', 'size', 'set', 'by', 'the', 'inverse', 'shear', 'rate', 'for', 'inertialess', 'systems', 'in', 'contrast', 'we', 'find', 'no', 'evidence', 'of', 'nonequilibrium', 'steady', 'states', 'free', 'of', 'finite', 'size', 'effects', 'coarsening', 'persists', 'indefinitely', 'until', 'the', 'typical', 'domain', 'size', 'attains', 'the', 'system', 'size', 'as', 'in', 'zero', 'shear', 'we', 'present', 'an', 'analytical', 'argument', 'that', 'supports', 'this', 'observation', 'and', 'that', 'furthermore', 'provides', 'a', 'possible', 'explanation', 'for', 'a', 'hitherto', 'puzzling', 'property', 'of', 'the', 'nonequilibrium', 'steady', 'states', 'with', 'inertia']] | [-0.16636789530293633, 0.1942045358582076, -0.1449098069658688, 0.021026376437469824, -0.03198357464110368, -0.1193971413385049, 0.030636121777953298, 0.3333408036238409, -0.28652562456982617, -0.22260892048589145, 0.09426749759625076, -0.20344150964392732, -0.11477492494333809, 0.15878263080804084, -0.025987099455237785, 0.07672444094490531, 0.07397979433688379, 0.0030975152124706287, -0.07487633900866468, -0.18799776739336008, 0.2865465944131762, -0.001422525690375081, 0.31792628400903566, 0.045384695256955376, 0.09119291021334415, -0.0261356418949262, 0.03172212061842299, 0.10886875347585867, -0.2174919669304659, -0.0014784844458837136, 0.2063299956552635, 0.022720435935701708, 0.2624187302954544, -0.449758692428667, -0.24849203095419814, 0.08425971495900426, 0.14651933613553988, 0.18103258874319766, -0.056711073541575854, -0.20064369616613706, 0.07786062724937666, -0.18654626705961314, -0.18167970382719492, -0.0967393410052882, 0.04876205957932583, -0.012934039804825423, -0.2611909960273234, 0.169120985868194, 0.09456949433410503, 0.07153993724715828, -0.1163679463295451, -0.0605637618604221, -0.01842983538710469, 0.09221207903118323, 0.04726498461612161, 0.013540521572461191, 0.12238616885814742, -0.15197381634875787, -0.08937328816036885, 0.3607342027756848, -0.05573379512512378, -0.20405788357918528, 0.24619266857232724, -0.1580995515463812, -0.10710134665290548, 0.16688236885932306, 0.16274878543042978, 0.09128575537674474, -0.10962921652683852, 0.04611381079303101, -0.059835222863518195, 0.18857899410588458, 0.05017106536627803, -0.033191287188500854, 0.21457353780132454, 0.19336778779717667, 0.08468474374485775, 0.21675298389799844, -0.08502018854133045, -0.12258974731697805, -0.3116127546592955, -0.13411663230762982, -0.19763953124931613, 0.07693610937852684, -0.044986333179851186, -0.21388834488534966, 0.3430241322120195, 0.1463573433440302, 0.1872962237241684, 0.05812507869123747, 0.25991615666915346, 0.09977164390716249, 0.027682951602171983, 0.11242629720718408, 0.2438003001784727, 0.1446030217250624, 0.12554818629256345, -0.2862200300727311, 0.06407906786948812, 0.06592505992643091] |
710.5913 | Connection between the high energy-scale evolution of the P- and T-odd
$\pi N N$ coupling constant and the strong $\pi N N$ interaction | The large energy-scale behaviour of the parity and time-reversal violating
(PTV) pion-nucleon coupling constant is analyzed in a model combining
renormalization-group techniques and the dressing of the PTV vertex with a pion
loop. With the strong $\pi N N$ vertex as a mixture of the pseudovector and
pseudoscalar couplings, we show that depending on the admixture parameter, two
qualitatively distinct types of behaviour are obtained for the PTV coupling
constant at high energy scales: an asymptotic freedom or a fixed-point. We find
a critical value of the admixture parameter which delineates these two
scenarios. Several examples of the high-energy scale behaviour of the PTV $\pi
N N$ constant are considered, corresponding to realistic hadronic models of the
strong pion-nucleon interaction.
| nucl-th | the large energyscale behaviour of the parity and timereversal violating ptv pionnucleon coupling constant is analyzed in a model combining renormalizationgroup techniques and the dressing of the ptv vertex with a pion loop with the strong pi n n vertex as a mixture of the pseudovector and pseudoscalar couplings we show that depending on the admixture parameter two qualitatively distinct types of behaviour are obtained for the ptv coupling constant at high energy scales an asymptotic freedom or a fixedpoint we find a critical value of the admixture parameter which delineates these two scenarios several examples of the highenergy scale behaviour of the ptv pi n n constant are considered corresponding to realistic hadronic models of the strong pionnucleon interaction | [['the', 'large', 'energyscale', 'behaviour', 'of', 'the', 'parity', 'and', 'timereversal', 'violating', 'ptv', 'pionnucleon', 'coupling', 'constant', 'is', 'analyzed', 'in', 'a', 'model', 'combining', 'renormalizationgroup', 'techniques', 'and', 'the', 'dressing', 'of', 'the', 'ptv', 'vertex', 'with', 'a', 'pion', 'loop', 'with', 'the', 'strong', 'pi', 'n', 'n', 'vertex', 'as', 'a', 'mixture', 'of', 'the', 'pseudovector', 'and', 'pseudoscalar', 'couplings', 'we', 'show', 'that', 'depending', 'on', 'the', 'admixture', 'parameter', 'two', 'qualitatively', 'distinct', 'types', 'of', 'behaviour', 'are', 'obtained', 'for', 'the', 'ptv', 'coupling', 'constant', 'at', 'high', 'energy', 'scales', 'an', 'asymptotic', 'freedom', 'or', 'a', 'fixedpoint', 'we', 'find', 'a', 'critical', 'value', 'of', 'the', 'admixture', 'parameter', 'which', 'delineates', 'these', 'two', 'scenarios', 'several', 'examples', 'of', 'the', 'highenergy', 'scale', 'behaviour', 'of', 'the', 'ptv', 'pi', 'n', 'n', 'constant', 'are', 'considered', 'corresponding', 'to', 'realistic', 'hadronic', 'models', 'of', 'the', 'strong', 'pionnucleon', 'interaction']] | [-0.18327078674919903, 0.2412157339433179, -0.04339164190265971, 0.06578509270232948, -0.03356547813940172, -0.1769728199831055, 0.0461223649889386, 0.3056166819296777, -0.20215055690302203, -0.3021002861050268, -0.0073472036058471225, -0.31605332472827286, -0.06842657595213192, 0.11138232655745621, 0.09667316165093022, 0.06352874328537533, 0.018889611880877056, 0.06487322693380217, -0.05373488701685953, -0.1873152963661899, 0.329631863340425, -9.308803516129652e-05, 0.24614992314794412, 0.10257213232883562, 0.08954050440030793, 0.00020150975906290113, 0.010256969750237961, 0.01588049144484103, -0.12234693425155758, 0.04768902872747276, 0.1864660042240151, 0.03215037168508085, 0.17842345181852579, -0.35913562195686005, -0.17767057441912282, 0.09724314133830679, 0.13674369060900063, 0.09641325289655166, 0.0009070006538725769, -0.2913711593563979, 0.04007416489766911, -0.16125105325481853, -0.14875245072956508, -0.08981779566189894, 0.029384908452630042, -0.014197883025432626, -0.34112761456829804, 0.0640748574010407, -0.01610410202605029, 0.04948953754889469, -0.028939640002014735, -0.19533838883507998, -0.014682820532470942, 0.12309262787651581, 0.12007593500602524, 0.031041585355220985, 0.12335419630398974, -0.1963393484824337, -0.09382591494359076, 0.36862412717891857, -0.09507718775227356, -0.2085392516416808, 0.16054630222109456, -0.1322087596481045, -0.13706483357042695, 0.1513389594911132, 0.1359617213252932, 0.10464199002987394, -0.12194861516666909, 0.14473791752097895, -0.021943220500058185, 0.1945718891103752, 0.07783972755229722, 0.04653082092214997, 0.1401584203898286, 0.1475786407555764, 0.014252288608501355, 0.09484954407962505, -0.08684176592117486, -0.11455518626996006, -0.3785377194484075, -0.07536702843014306, -0.13874199589287553, 0.07286722741943473, -0.18648687995312987, -0.13988945894719412, 0.38065357552065204, 0.08577815814545223, 0.25691155741612115, 0.0479950951266801, 0.2716054773889482, 0.10443426628189627, 0.03186860505181054, 0.044567254418507216, 0.26422738523397127, 0.11371323439913492, 0.05145829795559014, -0.32245204281935, 0.024611717311199755, 0.0635327839680637] |
710.5914 | An unknown story: Majorana and the Pauli-Weisskopf scalar
electrodynamics | An account is given of an interesting but unknown theory by Majorana
regarding scalar quantum electrodynamics, elaborated several years before the
known Pauli-Weisskopf theory. Theoretical calculations and their interpretation
are given in detail, together with a general historical discussion of the main
steps towards the building of a quantum field theory for electrodynamics. A
possible peculiar application to nuclear constitution, as conceived around
1930, considered by Majorana is as well discussed.
| physics.hist-ph hep-ph hep-th | an account is given of an interesting but unknown theory by majorana regarding scalar quantum electrodynamics elaborated several years before the known pauliweisskopf theory theoretical calculations and their interpretation are given in detail together with a general historical discussion of the main steps towards the building of a quantum field theory for electrodynamics a possible peculiar application to nuclear constitution as conceived around 1930 considered by majorana is as well discussed | [['an', 'account', 'is', 'given', 'of', 'an', 'interesting', 'but', 'unknown', 'theory', 'by', 'majorana', 'regarding', 'scalar', 'quantum', 'electrodynamics', 'elaborated', 'several', 'years', 'before', 'the', 'known', 'pauliweisskopf', 'theory', 'theoretical', 'calculations', 'and', 'their', 'interpretation', 'are', 'given', 'in', 'detail', 'together', 'with', 'a', 'general', 'historical', 'discussion', 'of', 'the', 'main', 'steps', 'towards', 'the', 'building', 'of', 'a', 'quantum', 'field', 'theory', 'for', 'electrodynamics', 'a', 'possible', 'peculiar', 'application', 'to', 'nuclear', 'constitution', 'as', 'conceived', 'around', '1930', 'considered', 'by', 'majorana', 'is', 'as', 'well', 'discussed']] | [-0.09085646480920591, 0.16528994315012824, -0.05875180113528456, 0.12054582708182611, -0.09032351057976484, -0.16624508671063398, 0.028529459645505996, 0.29932712992387156, -0.18021556410406317, -0.32938785313495567, 0.09687012238926919, -0.2563280731040452, -0.1714118587102608, 0.20723737357516905, -0.059555250039479035, 0.06460543981354151, -0.010374033464384931, 0.0899425098339894, -0.06912789491886673, -0.25526198643658843, 0.28658134729069257, 0.11809578000102192, 0.22873928991279432, 0.05053109383609678, 0.0699646049095983, 0.013731229052479779, -0.06394505589934332, 0.021936739781605347, -0.12187000662587318, 0.09951670948149903, 0.2503788774034807, 0.11387348077259958, 0.27453852625164604, -0.47559949713093896, -0.2448437633658094, -0.010074514641226934, 0.1365967281362308, 0.16072318788750894, -0.1016082529344463, -0.34492509439587593, 0.03405228315054306, -0.1626091026301895, -0.21389016204380562, -0.08253161870109449, 0.05933711163732888, -0.058191957936755245, -0.15917023316557918, 0.027544946715767894, 0.05391451700623812, 0.07376206517458611, -0.04765489467619253, -0.16136658883354227, 0.05304176255594939, 0.11047236624040774, 0.08791835830447131, 0.021922042011283338, 0.08812921893716391, -0.11093137776479126, -0.1680487897596322, 0.4119764009340932, -0.01717588140496186, -0.10357653754098074, 0.13355461530653492, -0.07147458252896155, -0.1281826548178547, 0.032017710202905746, 0.08673282942867705, 0.07628347410687379, -0.1765673271081011, 0.10639075884246267, -0.039602952799759804, 0.10023127092447665, 0.03555404664283352, 0.06039551972207846, 0.2741570217568161, 0.18569873109725968, -0.008028771488794259, 0.09287790304848126, 0.006755888941032546, -0.1825997728330549, -0.399977885772075, -0.1715373449651192, -0.19128802235105208, 0.08042867288791708, -0.035979997712378725, -0.17664462172293238, 0.390975889749825, 0.11556807884148189, 0.16502725378211056, -0.041864557830350736, 0.28507772955511296, 0.1218846892372572, 0.039340799724284024, 0.008108472491481474, 0.2561113550992949, 0.2484760198143444, 0.1014913338569126, -0.17422352289182266, 0.004797219159081578, 0.02983904077471899] |
710.5915 | Dynamic of threshold solutions for energy-critical NLS | We consider the radial energy-critical non-linear focusing Schr\"odinger
equation in dimension N=3,4,5. An explicit stationnary solution, W, of this
equation is known. In a previous work by C. Carlos and F. Merle, the energy
E(W) has been shown to be a threshold for the dynamical behavior of solutions
of the equation. In the present article, we study the dynamics at the critical
level E(u)=E(W) and classify the corresponding solutions. This gives in
particular a dynamical characterization of W.
| math.AP | we consider the radial energycritical nonlinear focusing schrodinger equation in dimension n345 an explicit stationnary solution w of this equation is known in a previous work by c carlos and f merle the energy ew has been shown to be a threshold for the dynamical behavior of solutions of the equation in the present article we study the dynamics at the critical level euew and classify the corresponding solutions this gives in particular a dynamical characterization of w | [['we', 'consider', 'the', 'radial', 'energycritical', 'nonlinear', 'focusing', 'schrodinger', 'equation', 'in', 'dimension', 'n345', 'an', 'explicit', 'stationnary', 'solution', 'w', 'of', 'this', 'equation', 'is', 'known', 'in', 'a', 'previous', 'work', 'by', 'c', 'carlos', 'and', 'f', 'merle', 'the', 'energy', 'ew', 'has', 'been', 'shown', 'to', 'be', 'a', 'threshold', 'for', 'the', 'dynamical', 'behavior', 'of', 'solutions', 'of', 'the', 'equation', 'in', 'the', 'present', 'article', 'we', 'study', 'the', 'dynamics', 'at', 'the', 'critical', 'level', 'euew', 'and', 'classify', 'the', 'corresponding', 'solutions', 'this', 'gives', 'in', 'particular', 'a', 'dynamical', 'characterization', 'of', 'w']] | [-0.14804164978052647, 0.047880330486049234, -0.09574720048490766, 0.04050963600135904, -0.0380237696498826, -0.10743535446402218, -0.019634302720645223, 0.28461475757422383, -0.23997146925925242, -0.2477945639909088, 0.09719577712285055, -0.3010205661382091, -0.1432790874515648, 0.16252327650557152, -0.008108860305087133, 0.09107005776377855, 0.030281209906974395, 0.06115179110995748, -0.06924893290965588, -0.23067919877599682, 0.3818568435751579, 0.000414877041400253, 0.2301940241852751, 0.06102046905109634, 0.09818299293711588, -0.01657784331964885, -0.011172515751382747, -0.016776430831810872, -0.24048402806889121, 0.07300221718025285, 0.20711398543185228, 0.05864601807862327, 0.28463217192752793, -0.35028210052518877, -0.2285476972306655, 0.10964645135863503, 0.1535110070261282, 0.1490596089173447, -0.04018131652000276, -0.2759065432353066, 0.06581633240165939, -0.1379069695370151, -0.2402807565151968, -0.02179012701592662, 0.0731439123280927, 0.046894436937986644, -0.24771903635474382, 0.09055310463254618, 0.09257853431128231, 0.02944000604768078, -0.11072295350204041, -0.08110371165509735, -0.021487957283902865, 0.0344629809063823, 0.025185750303003792, 0.04742096513759212, -0.001083017967931636, -0.15752646551382812, -0.10157439591629165, 0.365078414070674, -0.09975618549453263, -0.23694573703234073, 0.16711896199539497, -0.15319597751942354, -0.1369341075928374, 0.110361126408755, 0.18799781446139535, 0.15515831255583795, -0.1651492003659875, 0.20810111674220094, -0.03831085468968981, 0.15289278514683247, 0.07871967591587212, -0.017777188221452297, 0.08578444749733748, 0.1693285820709372, 0.061969548342870426, 0.14509295265631775, -0.017674024331734164, -0.07226557707922025, -0.3135998198254542, -0.18106209515751182, -0.11272033758751758, 0.12862112964110375, -0.028402369583929683, -0.13487785423360463, 0.4227133993204538, 0.11867222048390608, 0.19221876781772484, 0.030637645513399855, 0.1999673636315705, 0.21563328708243834, -0.04411437555802865, 0.07621376826609304, 0.25207179496306686, 0.12847881824649, 0.14287019625015848, -0.2432192286851441, -0.004605057504173223, 0.13910902199613584] |
710.5916 | A description of the outer automorphism of S_6, and the invariants of
six points in projective space | We use a simple description of the outer automorphism of S_6 to cleanly
describe the invariant theory of six points in P^1, P^2, and P^3.
| math.AG | we use a simple description of the outer automorphism of s_6 to cleanly describe the invariant theory of six points in p1 p2 and p3 | [['we', 'use', 'a', 'simple', 'description', 'of', 'the', 'outer', 'automorphism', 'of', 's_6', 'to', 'cleanly', 'describe', 'the', 'invariant', 'theory', 'of', 'six', 'points', 'in', 'p1', 'p2', 'and', 'p3']] | [-0.19837246319279075, 0.033823945410549644, -0.15009130217134953, 0.09503976438194513, -0.05611562006175518, -0.14922497427091003, 0.00893271730747074, 0.31551027216017247, -0.2978216006048024, -0.2346402908861637, 0.06395887122955174, -0.2660272842645645, -0.15873989831656218, 0.15503873724490405, -0.08970107275992632, -0.010314870458096266, -0.045501205306500196, 0.11151133842766285, -0.16015495393425228, -0.27952681958675385, 0.3164596292562783, -0.09968452021479607, 0.14047182463109492, 0.0025165543705224992, 0.04978291969746351, 0.023169722594320773, 0.005099468901753426, -0.05493696954101324, -0.224822832159698, 0.14130316130816936, 0.28869219694286585, 0.07053850807249545, 0.12367629736661911, -0.3795130980014801, -0.14072497662156822, 0.1345139954984188, 0.15769840776920319, 0.04985784709453583, 0.00999705445021391, -0.1721143804118037, 0.12090084198862314, -0.18552366897463798, -0.2593097230792046, -0.07008074045181274, 0.05264372264966369, -0.03786243237555027, -0.21367737779393792, -0.005861254595220089, 0.12977091573178767, 0.16336103361099957, -0.07263631239533425, -0.06307643160223961, -0.03396547749638557, 0.11586623756214977, -0.018479309007525445, 0.0582080913707614, 0.08166223855689168, -0.06478832796216011, -0.07284394674003124, 0.41395600855350495, -0.058613195307552816, -0.17113669991493224, 0.12880264919251203, -0.20165377721190453, -0.20276138301938773, 0.17823076359927653, 0.12482899561524391, 0.19364833170548082, -0.044588283747434614, 0.19268049321835862, -0.08539329163730144, 0.10944288047030568, 0.09329329139553011, -0.06911263152956963, 0.11061289250850677, 0.05527108617126942, 0.06494520519161597, 0.12513724997639655, -0.056029749810695646, -0.051439686715602874, -0.4152814620733261, -0.15335412543267013, -0.04819562521763146, 0.08416266649961472, -0.0857677589164814, -0.15577754585072398, 0.44432082686573265, 0.06395070388913154, 0.22065956197679043, 0.003931665644049644, 0.2303031852468848, -0.009058385528624058, 0.043749311715364454, 0.07640502970665693, 0.15832700118422507, 0.1825644364953041, -0.10392276521772147, -0.18831749059259892, -0.10641662506386637, 0.20060995507985355] |
710.5917 | Anomalous Diffusion with Absorbing Boundary | In a very long Gaussian polymer on time scales shorter that the maximal
relaxation time, the mean squared distance travelled by a tagged monomer grows
as ~t^{1/2}. We analyze such sub-diffusive behavior in the presence of one or
two absorbing boundaries and demonstrate the differences between this process
and the sub-diffusion described by the fractional Fokker-Planck equation. In
particular, we show that the mean absorption time of diffuser between two
absorbing boundaries is finite. Our results restrict the form of the effective
dispersion equation that may describe such sub-diffusive processes.
| cond-mat.stat-mech cond-mat.soft | in a very long gaussian polymer on time scales shorter that the maximal relaxation time the mean squared distance travelled by a tagged monomer grows as t12 we analyze such subdiffusive behavior in the presence of one or two absorbing boundaries and demonstrate the differences between this process and the subdiffusion described by the fractional fokkerplanck equation in particular we show that the mean absorption time of diffuser between two absorbing boundaries is finite our results restrict the form of the effective dispersion equation that may describe such subdiffusive processes | [['in', 'a', 'very', 'long', 'gaussian', 'polymer', 'on', 'time', 'scales', 'shorter', 'that', 'the', 'maximal', 'relaxation', 'time', 'the', 'mean', 'squared', 'distance', 'travelled', 'by', 'a', 'tagged', 'monomer', 'grows', 'as', 't12', 'we', 'analyze', 'such', 'subdiffusive', 'behavior', 'in', 'the', 'presence', 'of', 'one', 'or', 'two', 'absorbing', 'boundaries', 'and', 'demonstrate', 'the', 'differences', 'between', 'this', 'process', 'and', 'the', 'subdiffusion', 'described', 'by', 'the', 'fractional', 'fokkerplanck', 'equation', 'in', 'particular', 'we', 'show', 'that', 'the', 'mean', 'absorption', 'time', 'of', 'diffuser', 'between', 'two', 'absorbing', 'boundaries', 'is', 'finite', 'our', 'results', 'restrict', 'the', 'form', 'of', 'the', 'effective', 'dispersion', 'equation', 'that', 'may', 'describe', 'such', 'subdiffusive', 'processes']] | [-0.1179050328507502, 0.22402795855887234, -0.10306924286608894, 0.07930612855199999, -0.014257459453721014, -0.12691137558366689, 0.0072861617431044575, 0.39511424580381976, -0.31515631439785163, -0.23935580410891108, 0.07141665667942208, -0.2933560556007756, -0.13159208967505645, 0.16290497072817137, 0.002996866705103053, 0.027514366779683365, 0.02633308271308326, 0.023994723935094144, -0.049554114082517725, -0.18028012096054025, 0.2501169757400122, -0.02125345586488644, 0.2441383053134713, 0.057056193511622645, 0.14287158330876587, -0.008186952009176214, -0.009560190555122163, 0.020402570985606872, -0.1590450035860057, 0.035070125370596845, 0.17577768256887794, 0.0029773024169521198, 0.28830509975863, -0.440470991221567, -0.24824182850619156, 0.09904124758516748, 0.2019674788125687, 0.08386029928094811, -0.013491725384826875, -0.26673631375241613, 0.0065316713001165125, -0.11949075674767502, -0.18117022923090392, 0.023218617122620345, 0.07395122365819083, 0.07818757850004153, -0.2040618842157225, 0.18474656021345354, 0.06170141081739631, 0.011980716803938979, -0.06645509401181092, -0.08104123240336776, 0.0025428838381129837, 0.13585704749501828, 0.08076709374080464, -0.030915520624775025, 0.13247826951038505, -0.11743305771766852, -0.09000700666672654, 0.34514983784821296, -0.14345607217918668, -0.21977720810100437, 0.20545085925194953, -0.20553486763189235, -0.04266335462711544, 0.1494077321400659, 0.1652481587914129, 0.13398632032848481, -0.1597656363931795, 0.05836918801982797, -0.015457802845372095, 0.16569065725844767, 0.08991526530589908, 0.04434663388205485, 0.11357087995339599, 0.18898034915586726, 0.06983644853656491, 0.14171508270471048, -0.11320548971028378, -0.16110215652734042, -0.33724430435233643, -0.17689052441467842, -0.23163198646830602, 0.08213660751417694, -0.16791868715049027, -0.1783093853905383, 0.32884462324954156, 0.1412580044176947, 0.22229959398715032, 0.11138771149433321, 0.23859624438401725, 0.14504177829561135, 0.012960617544336452, 0.0877018274842865, 0.19094069637358188, 0.08505727649252448, 0.11473704367979533, -0.301193508073791, 0.09622371812971929, 0.05569216240611341] |
710.5918 | Characterization of the long-period companions of the exoplanet host
stars: HD196885, HD1237 and HD27442 | We present the results of near-infrared, follow-up imaging and spectroscopic
observations at VLT, aimed at characterizing the long-period companions of the
exoplanet host stars HD196885, HD1237 and HD27442. The three companions were
previously discovered in the course of our CFHT and VLT coronographic imaging
survey dedicated to the search for faint companions of exoplanet host stars. We
used the NACO near-infrared adaptive optics instrument to obtain astrometric
follow-up observations of HD196885 A and B. The long-slit spectroscopic mode of
NACO and the integral field spectrograph SINFONI were used to carry out a
low-resolution spectral characterization of the three companions HD196885 B,
HD1237 B and HD27442 B between 1.4 and 2.5 microns. We can now confirm that the
companion HD196885 B is comoving with its primary exoplanet host star, as
previously shown for HD1237 B and HD27442 B. We find that both companions
HD196885 B and HD1237 B are low-mass stars of spectral type M1V and M4V
respectively. HD196885 AB is one of the closer (~23 AU) resolved binaries known
to host an exoplanet. This system is then ideal for carrying out a combined
radial velocity and astrometric investigation of the possible impact of the
binary companion on the planetary system formation and evolution. Finally, we
confirm via spectroscopy that HD27442 B is a white dwarf companion, the third
one to be discovered orbiting an exoplanet host star, following HD147513 and
Gliese 86. The detection of the broad Bracket gamma line of hydrogen indicates
a white dwarf atmosphere dominated by hydrogen.
| astro-ph | we present the results of nearinfrared followup imaging and spectroscopic observations at vlt aimed at characterizing the longperiod companions of the exoplanet host stars hd196885 hd1237 and hd27442 the three companions were previously discovered in the course of our cfht and vlt coronographic imaging survey dedicated to the search for faint companions of exoplanet host stars we used the naco nearinfrared adaptive optics instrument to obtain astrometric followup observations of hd196885 a and b the longslit spectroscopic mode of naco and the integral field spectrograph sinfoni were used to carry out a lowresolution spectral characterization of the three companions hd196885 b hd1237 b and hd27442 b between 14 and 25 microns we can now confirm that the companion hd196885 b is comoving with its primary exoplanet host star as previously shown for hd1237 b and hd27442 b we find that both companions hd196885 b and hd1237 b are lowmass stars of spectral type m1v and m4v respectively hd196885 ab is one of the closer 23 au resolved binaries known to host an exoplanet this system is then ideal for carrying out a combined radial velocity and astrometric investigation of the possible impact of the binary companion on the planetary system formation and evolution finally we confirm via spectroscopy that hd27442 b is a white dwarf companion the third one to be discovered orbiting an exoplanet host star following hd147513 and gliese 86 the detection of the broad bracket gamma line of hydrogen indicates a white dwarf atmosphere dominated by hydrogen | [['we', 'present', 'the', 'results', 'of', 'nearinfrared', 'followup', 'imaging', 'and', 'spectroscopic', 'observations', 'at', 'vlt', 'aimed', 'at', 'characterizing', 'the', 'longperiod', 'companions', 'of', 'the', 'exoplanet', 'host', 'stars', 'hd196885', 'hd1237', 'and', 'hd27442', 'the', 'three', 'companions', 'were', 'previously', 'discovered', 'in', 'the', 'course', 'of', 'our', 'cfht', 'and', 'vlt', 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710.5919 | Measuring Form Factors and Structure Functions with CLAS | The physics program at the Thomas Jefferson National Accelerator Facility
includes a strong effort to measure form factors and structure functions to
probe the structure of hadronic matter, reveal the nature of confinement, and
develop an understanding of atomic nuclei using quark-gluon degrees of freedom.
The CLAS detector is a large acceptance device occupying one of the end
stations. We discuss here two programs that use CLAS; measuring the magnetic
form factor of the neutron and the virtual photon asymmetry of the proton. The
form factor has been measured with unprecedented kinematic coverage and
precision up to Q2=4.7 GeV2 and is consistent within 5%-10% of the dipole
parameterization. The proton virtual photon asymmetry has been measured across
a wide range in Bjorken x. The data exceed the SU(6)-symmetric quark prediction
and show evidence of a smooth approach to the scaling limit prescribed by
perturbative QCD.
| hep-ex | the physics program at the thomas jefferson national accelerator facility includes a strong effort to measure form factors and structure functions to probe the structure of hadronic matter reveal the nature of confinement and develop an understanding of atomic nuclei using quarkgluon degrees of freedom the clas detector is a large acceptance device occupying one of the end stations we discuss here two programs that use clas measuring the magnetic form factor of the neutron and the virtual photon asymmetry of the proton the form factor has been measured with unprecedented kinematic coverage and precision up to q247 gev2 and is consistent within 510 of the dipole parameterization the proton virtual photon asymmetry has been measured across a wide range in bjorken x the data exceed the su6symmetric quark prediction and show evidence of a smooth approach to the scaling limit prescribed by perturbative qcd | [['the', 'physics', 'program', 'at', 'the', 'thomas', 'jefferson', 'national', 'accelerator', 'facility', 'includes', 'a', 'strong', 'effort', 'to', 'measure', 'form', 'factors', 'and', 'structure', 'functions', 'to', 'probe', 'the', 'structure', 'of', 'hadronic', 'matter', 'reveal', 'the', 'nature', 'of', 'confinement', 'and', 'develop', 'an', 'understanding', 'of', 'atomic', 'nuclei', 'using', 'quarkgluon', 'degrees', 'of', 'freedom', 'the', 'clas', 'detector', 'is', 'a', 'large', 'acceptance', 'device', 'occupying', 'one', 'of', 'the', 'end', 'stations', 'we', 'discuss', 'here', 'two', 'programs', 'that', 'use', 'clas', 'measuring', 'the', 'magnetic', 'form', 'factor', 'of', 'the', 'neutron', 'and', 'the', 'virtual', 'photon', 'asymmetry', 'of', 'the', 'proton', 'the', 'form', 'factor', 'has', 'been', 'measured', 'with', 'unprecedented', 'kinematic', 'coverage', 'and', 'precision', 'up', 'to', 'q247', 'gev2', 'and', 'is', 'consistent', 'within', '510', 'of', 'the', 'dipole', 'parameterization', 'the', 'proton', 'virtual', 'photon', 'asymmetry', 'has', 'been', 'measured', 'across', 'a', 'wide', 'range', 'in', 'bjorken', 'x', 'the', 'data', 'exceed', 'the', 'su6symmetric', 'quark', 'prediction', 'and', 'show', 'evidence', 'of', 'a', 'smooth', 'approach', 'to', 'the', 'scaling', 'limit', 'prescribed', 'by', 'perturbative', 'qcd']] | [-0.09202270121541578, 0.1778312723057294, -0.11886070073920894, 0.06329896762133479, -0.05742117276063541, -0.07363398235952286, 0.06004069444814606, 0.3318980675633554, -0.2051728433844718, -0.34501799740470374, -0.029941233468463422, -0.29900610157438406, 0.036857047502498526, 0.168254793108721, 0.05594998787456824, 0.08233313882964423, 0.05048813086517572, -0.009320356537933117, -0.06485068262788757, -0.15747479167033168, 0.30561869464150365, 0.09941378046621706, 0.2984526509425596, 0.14710946294635377, 0.15575944578317416, 0.014483519535514989, -0.04143059394449334, -0.008313101729365079, -0.10085108823988992, 0.08197023479880153, 0.2706987565319002, 0.09597066180598172, 0.20007439692654497, -0.38562891461033294, -0.14938726956903986, 0.05226453026867361, 0.09665089191696313, 0.07821828812699426, -0.030870924553983697, -0.2709089319736182, 0.050894099277919616, -0.2353312018867973, -0.18490397901489183, -0.09317509223335793, -0.0008679772189889962, 6.842137138535093e-06, -0.275593587683377, 0.010368128150857829, -0.043000771286343775, 0.06714934962508562, -0.024183001958641346, -0.1709212082360018, 0.030126613460585372, 0.0920404728186167, 0.053849085764080235, 0.12435901980241434, 0.16982576850528172, -0.19391986361046978, -0.11677475464758236, 0.38449019329765666, -0.007443134210534863, -0.12966765461724017, 0.12475898119757746, -0.2903478264261584, -0.11423781083349685, 0.16842541411532075, 0.22404385296875365, 0.07205217663472245, -0.1733487127649995, 0.10298064999832687, -0.044458601815899564, 0.18718952662474314, 0.1003845888824964, 0.04898277724119411, 0.21007046868073773, 0.23020187030559391, -0.012290703217414293, 0.07707069242223316, -0.14837392572788977, -0.07297253344286155, -0.33768989230665686, -0.11797493301540404, -0.11496607098285552, 0.061389363662281135, -0.06504864365426609, -0.09129823024313037, 0.3700774246810486, 0.07364624590212822, 0.19951736682804522, -0.018478302335752487, 0.3077598769556392, 0.08328845626121009, 0.12159286018125583, 0.06453098933753017, 0.2813065621506918, 0.16178464821956634, 0.11223553847261034, -0.26033661454766205, 0.05724182488214407, 0.0051221982510825555] |
710.592 | The modular variety of hyperelliptic curves of genus three | The modular variety of non singular and complete hyperelliptic curves with
level-two structure of genus 3 is a 5-dimensional quasi projective variety
which admits several standard compactifications. The first one, X, comes from
the realization of this variety as a sub-variety of the Siegel modular variety
of level two and genus three .We will be to describe the equations of X in a
suitable projective embedding and its Hilbert function. It will turn out that
X is normal. A further model comes from geometric invariant theory using
so-called semistable degenerated point configurations in (P^1)^8 . We denote
this GIT-compactification by Y. The equations of this variety in a suitable
projective embedding are known. This variety also can by identified with a
Baily-Borel compactified ball-quotient. We will describe these results in some
detail and obtain new proofs including some finer results for them. We have a
birational map between Y and X . In this paper we use the fact that there are
graded algebras (closely related to algebras of modular forms) A,B such that
X=proj(A) and Y=proj(B). This homomorphism rests on the theory of Thomae (19th
century), in which the thetanullwerte of hyperelliptic curves have been
computed. Using the explicit equations for $A,B$ we can compute the base locus
of the map from Y to X.
Blowing up the base locus and the singularity of Y, we get a dominant, smooth
model {\tilde Y}. We will see that {\tilde Y} is isomorphic to the
compactification of families of marked projective lines (P^1,x_1,...,x_8),
usually denoted by {\bar M_{0,8}}. There are several combinatorial similarities
between the models X and Y. These similarities can be described best, if one
uses the ball-model to describe Y.
| math.AG math.AC | the modular variety of non singular and complete hyperelliptic curves with leveltwo structure of genus 3 is a 5dimensional quasi projective variety which admits several standard compactifications the first one x comes from the realization of this variety as a subvariety of the siegel modular variety of level two and genus three we will be to describe the equations of x in a suitable projective embedding and its hilbert function it will turn out that x is normal a further model comes from geometric invariant theory using socalled semistable degenerated point configurations in p18 we denote this gitcompactification by y the equations of this variety in a suitable projective embedding are known this variety also can by identified with a bailyborel compactified ballquotient we will describe these results in some detail and obtain new proofs including some finer results for them we have a birational map between y and x in this paper we use the fact that there are graded algebras closely related to algebras of modular forms ab such that xproja and yprojb this homomorphism rests on the theory of thomae 19th century in which the thetanullwerte of hyperelliptic curves have been computed using the explicit equations for ab we can compute the base locus of the map from y to x blowing up the base locus and the singularity of y we get a dominant smooth model tilde y we will see that tilde y is isomorphic to the compactification of families of marked projective lines p1x_1x_8 usually denoted by bar m_08 there are several combinatorial similarities between the models x and y these similarities can be described best if one uses the ballmodel to describe y | [['the', 'modular', 'variety', 'of', 'non', 'singular', 'and', 'complete', 'hyperelliptic', 'curves', 'with', 'leveltwo', 'structure', 'of', 'genus', '3', 'is', 'a', '5dimensional', 'quasi', 'projective', 'variety', 'which', 'admits', 'several', 'standard', 'compactifications', 'the', 'first', 'one', 'x', 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710.5921 | Faraday waves in Bose-Einstein condensates | Motivated by recent experiments on Faraday waves in Bose-Einstein condensates
we investigate both analytically and numerically the dynamics of cigar-shaped
Bose-condensed gases subject to periodic modulation of the strength of the
transverse confinement. We offer a fully analytical explanation of the observed
parametric resonance, based on a Mathieu-type analysis of the non-polynomial
Schr{\"o}dinger equation. The theoretical prediction for the pattern
periodicity versus the driving frequency is directly compared with the
experimental data, yielding good qualitative and quantitative agreement between
the two. These results are corroborated by direct numerical simulations of both
the one-dimensional non-polynomial Schr{\"o}dinger equation and of the fully
three-dimensional Gross-Pitaevskii equation.
| cond-mat.other | motivated by recent experiments on faraday waves in boseeinstein condensates we investigate both analytically and numerically the dynamics of cigarshaped bosecondensed gases subject to periodic modulation of the strength of the transverse confinement we offer a fully analytical explanation of the observed parametric resonance based on a mathieutype analysis of the nonpolynomial schrodinger equation the theoretical prediction for the pattern periodicity versus the driving frequency is directly compared with the experimental data yielding good qualitative and quantitative agreement between the two these results are corroborated by direct numerical simulations of both the onedimensional nonpolynomial schrodinger equation and of the fully threedimensional grosspitaevskii equation | [['motivated', 'by', 'recent', 'experiments', 'on', 'faraday', 'waves', 'in', 'boseeinstein', 'condensates', 'we', 'investigate', 'both', 'analytically', 'and', 'numerically', 'the', 'dynamics', 'of', 'cigarshaped', 'bosecondensed', 'gases', 'subject', 'to', 'periodic', 'modulation', 'of', 'the', 'strength', 'of', 'the', 'transverse', 'confinement', 'we', 'offer', 'a', 'fully', 'analytical', 'explanation', 'of', 'the', 'observed', 'parametric', 'resonance', 'based', 'on', 'a', 'mathieutype', 'analysis', 'of', 'the', 'nonpolynomial', 'schrodinger', 'equation', 'the', 'theoretical', 'prediction', 'for', 'the', 'pattern', 'periodicity', 'versus', 'the', 'driving', 'frequency', 'is', 'directly', 'compared', 'with', 'the', 'experimental', 'data', 'yielding', 'good', 'qualitative', 'and', 'quantitative', 'agreement', 'between', 'the', 'two', 'these', 'results', 'are', 'corroborated', 'by', 'direct', 'numerical', 'simulations', 'of', 'both', 'the', 'onedimensional', 'nonpolynomial', 'schrodinger', 'equation', 'and', 'of', 'the', 'fully', 'threedimensional', 'grosspitaevskii', 'equation']] | [-0.1522448988568074, 0.08888031009277239, -0.07369932489587193, 0.05871624459435675, -0.051661046167600505, -0.1207141428191251, 0.010893592106865592, 0.37906880351235567, -0.2042921393277865, -0.25302720710960697, 0.043415621676916274, -0.2824902359827973, -0.1565225979367506, 0.24787213667341082, 0.07276201468792934, 0.15433998584060124, 0.0739963249986069, -0.03516349128619271, -0.04295040918423713, -0.18736132217607307, 0.29694681323486044, 0.020533427501151575, 0.311601497228393, 0.06788695602930937, 0.0682202297798584, -0.020005573509532273, -0.018920507833578633, -0.001766897751542839, -0.18926235724204374, 0.10276632788093779, 0.17201226663739574, -0.009603924687626293, 0.21936598267785987, -0.5024825977071107, -0.2600117186536488, 0.05095327730986823, 0.18276926108751246, 0.1670926098657537, -0.09862095937901402, -0.368431372097829, -0.019122342737301172, -0.12005827798128345, -0.17278884721069948, -0.12452288194405801, 0.014039645473319061, 0.08505547333404748, -0.274107401394873, 0.17877487932078684, 0.03220111267297592, 0.09623356050477155, -0.13725494578462635, -0.04519594267227696, -0.014512809413910201, 0.029355728484518392, 0.009906144011464791, 0.011224809744693701, 0.03091037549186968, -0.14840803877676575, -0.12026028961702748, 0.39082607873704156, -0.12002551062846357, -0.22176194640364752, 0.19440480906887034, -0.17036941475732234, -0.015446552306015804, 0.11460973866717908, 0.13418564624921644, 0.06493544543288576, -0.12467865266914037, 0.049488575485403856, -0.0835266149991635, 0.18056825495712703, 0.050084742737789324, -0.006635377066646752, 0.21629061918814205, 0.21285198433595953, -0.045249428003303054, 0.12439916491987708, -0.06386643824918033, -0.17751238600450378, -0.28474838701212435, -0.07032020913563597, -0.17432519087332835, -0.0003861592872321461, -0.07816808581512164, -0.140895229407125, 0.41699745546511, 0.14811864390390592, 0.19121185087065384, 0.024759035490823963, 0.30212097033605123, 0.19842401784347388, -0.0370726062717296, -0.015041362580694077, 0.2870507452171296, 0.19931136847708772, 0.09271811550365562, -0.3344251235937971, -0.026013958434013704, 0.04852581878635779] |
710.5922 | Upper Limit on the Cosmic Gamma-Ray Burst Rate from High Energy Diffuse
Neutrino Background | We derive upper limits on the ratio $f_{GRB/CCSN}(z) \equiv
R_{GRB}(z)/R_{CCSN}(z) \equiv f_{GRB/CCSN}(0)(1+z)^\alpha$, the ratio of the
rate, $R_{GRB}$, of long-duration Gamma Ray Bursts (GRBs) to the rate,
$R_{CCSN}$, of core-collapse supernovae (CCSNe) in the Universe ($z$ being the
cosmological redshift and $\alpha\geq 0$), by using the upper limit on the
diffuse TeV--PeV neutrino background given by the AMANDA-II experiment in the
South Pole, under the assumption that GRBs are sources of TeV--PeV neutrinos
produced from decay of charged pions produced in $p\gamma$ interaction of
protons accelerated to ultrahigh energies at internal shocks within GRB jets.
For the assumed ``concordance model'' of cosmic star formation rate, $R_{SF}$,
with $R_{CCSN}(z) \propto R_{SF}(z)$, our conservative upper limits are
$f_{GRB/CCSN}(0)\leq 5.0\times10^{-3}$ for $\alpha=0$, and $f_{GRB/CCSN}(0)\leq
1.1\times10^{-3}$ for $\alpha=2$, for example. These limits are already
comparable to (and, for $\alpha\geq 1$ already more restrictive than) the
current upper limit on this ratio inferred from other astronomical
considerations, thus providing a useful independent probe of and constraint on
the CCSN-GRB connection. Non-detection of a diffuse TeV--PeV neutrino
background by the up-coming IceCube detector in the South pole after three
years of operation, for example, will bring down the upper limit on
$f_{GRB/CCSN}(0)$ to below few $\times10^{-5}$ level, while a detection will
confirm the hypothesis of proton acceleration to ultrahigh energies in GRBs and
will potentially also yield the true rate of occurrence of these events in the
Universe.
| astro-ph hep-ph | we derive upper limits on the ratio f_grbccsnz equiv r_grbzr_ccsnz equiv f_grbccsn01zalpha the ratio of the rate r_grb of longduration gamma ray bursts grbs to the rate r_ccsn of corecollapse supernovae ccsne in the universe z being the cosmological redshift and alphageq 0 by using the upper limit on the diffuse tevpev neutrino background given by the amandaii experiment in the south pole under the assumption that grbs are sources of tevpev neutrinos produced from decay of charged pions produced in pgamma interaction of protons accelerated to ultrahigh energies at internal shocks within grb jets for the assumed concordance model of cosmic star formation rate r_sf with r_ccsnz propto r_sfz our conservative upper limits are f_grbccsn0leq 50times103 for alpha0 and f_grbccsn0leq 11times103 for alpha2 for example these limits are already comparable to and for alphageq 1 already more restrictive than the current upper limit on this ratio inferred from other astronomical considerations thus providing a useful independent probe of and constraint on the ccsngrb connection nondetection of a diffuse tevpev neutrino background by the upcoming icecube detector in the south pole after three years of operation for example will bring down the upper limit on f_grbccsn0 to below few times105 level while a detection will confirm the hypothesis of proton acceleration to ultrahigh energies in grbs and will potentially also yield the true rate of occurrence of these events in the universe | [['we', 'derive', 'upper', 'limits', 'on', 'the', 'ratio', 'f_grbccsnz', 'equiv', 'r_grbzr_ccsnz', 'equiv', 'f_grbccsn01zalpha', 'the', 'ratio', 'of', 'the', 'rate', 'r_grb', 'of', 'longduration', 'gamma', 'ray', 'bursts', 'grbs', 'to', 'the', 'rate', 'r_ccsn', 'of', 'corecollapse', 'supernovae', 'ccsne', 'in', 'the', 'universe', 'z', 'being', 'the', 'cosmological', 'redshift', 'and', 'alphageq', '0', 'by', 'using', 'the', 'upper', 'limit', 'on', 'the', 'diffuse', 'tevpev', 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710.5923 | Primary caustics and critical points behind a Kerr black hole | The primary optical caustic surface behind a Kerr black hole is a four-cusped
tube displaced from the line of sight. We derive the caustic surface in the
nearly asymptotic region far from the black hole through a Taylor expansion of
the lightlike geodesics up to and including fourth-order terms in m/b and a/b,
where $m$ is the black hole mass, a the spin and b the impact parameter. The
corresponding critical locus in the observer's sky is elliptical and a
point-like source inside the caustics will be imaged as an Einstein cross. With
regard to lensing near critical points, a Kerr lens is analogous to a circular
lens perturbed by a dipole and a quadrupole potential. The caustic structure of
the supermassive black hole in the Galactic center could be probed by lensing
of low mass X-ray binaries in the Galactic inner regions or by hot spots in the
accretion disk.
| astro-ph gr-qc | the primary optical caustic surface behind a kerr black hole is a fourcusped tube displaced from the line of sight we derive the caustic surface in the nearly asymptotic region far from the black hole through a taylor expansion of the lightlike geodesics up to and including fourthorder terms in mb and ab where m is the black hole mass a the spin and b the impact parameter the corresponding critical locus in the observers sky is elliptical and a pointlike source inside the caustics will be imaged as an einstein cross with regard to lensing near critical points a kerr lens is analogous to a circular lens perturbed by a dipole and a quadrupole potential the caustic structure of the supermassive black hole in the galactic center could be probed by lensing of low mass xray binaries in the galactic inner regions or by hot spots in the accretion disk | [['the', 'primary', 'optical', 'caustic', 'surface', 'behind', 'a', 'kerr', 'black', 'hole', 'is', 'a', 'fourcusped', 'tube', 'displaced', 'from', 'the', 'line', 'of', 'sight', 'we', 'derive', 'the', 'caustic', 'surface', 'in', 'the', 'nearly', 'asymptotic', 'region', 'far', 'from', 'the', 'black', 'hole', 'through', 'a', 'taylor', 'expansion', 'of', 'the', 'lightlike', 'geodesics', 'up', 'to', 'and', 'including', 'fourthorder', 'terms', 'in', 'mb', 'and', 'ab', 'where', 'm', 'is', 'the', 'black', 'hole', 'mass', 'a', 'the', 'spin', 'and', 'b', 'the', 'impact', 'parameter', 'the', 'corresponding', 'critical', 'locus', 'in', 'the', 'observers', 'sky', 'is', 'elliptical', 'and', 'a', 'pointlike', 'source', 'inside', 'the', 'caustics', 'will', 'be', 'imaged', 'as', 'an', 'einstein', 'cross', 'with', 'regard', 'to', 'lensing', 'near', 'critical', 'points', 'a', 'kerr', 'lens', 'is', 'analogous', 'to', 'a', 'circular', 'lens', 'perturbed', 'by', 'a', 'dipole', 'and', 'a', 'quadrupole', 'potential', 'the', 'caustic', 'structure', 'of', 'the', 'supermassive', 'black', 'hole', 'in', 'the', 'galactic', 'center', 'could', 'be', 'probed', 'by', 'lensing', 'of', 'low', 'mass', 'xray', 'binaries', 'in', 'the', 'galactic', 'inner', 'regions', 'or', 'by', 'hot', 'spots', 'in', 'the', 'accretion', 'disk']] | [-0.14786849403753877, 0.06515273584373063, -0.07587351451317469, 0.09892384983715602, -0.09962946167370926, -0.06673423383074502, 0.019843155801451455, 0.33246929640183226, -0.1839212279068306, -0.27373184997588396, 0.07871633525472134, -0.3419989348699649, -0.055278874624830984, 0.21617118126247079, -0.029229411010746845, 0.03325096674884359, -0.007493924167162428, 0.019204952626799544, -0.10571123267834386, -0.18161252297693864, 0.37005112749834856, 0.10086824436206371, 0.13321912504111727, -0.006006137570366264, 0.08552114659609894, -0.009962162484104435, 0.020482263111819825, 0.04404211551261445, -0.14572335983316104, 0.058035567053593695, 0.21272625206038356, 0.06366267059153567, 0.17729931785569836, -0.33227714342375597, -0.19591037151093285, 0.05321197171928361, 0.20896785248691838, 0.11276475990811984, -0.09415484424370031, -0.3074195029338201, 0.06762642201657097, -0.18043197821282472, -0.2245545879441003, 0.07288276508140067, 0.04697419911933442, 0.030668915699546537, -0.19247838556650096, 0.11907999971881508, 0.05810594359102349, -0.01228539355720083, -0.09485495248499017, -0.010366949333498875, -0.08718760692204039, 0.057124797793415685, 0.06314882559701801, 0.09792327328585088, 0.23859362606269618, -0.11918760194753607, -0.052527130489858485, 0.39460888219376405, -0.0669464884698391, -0.12017671281006187, 0.11750858338549733, -0.30760352792373546, -0.04664340658579022, 0.1711411422987779, 0.18440076104054848, 0.16893219042258958, -0.15318505142543776, 0.09696397137343107, -0.0004486600526918968, 0.16643701738522698, 0.15843585243759056, -0.005313844820484519, 0.46530970646689335, 0.09983748185215519, 0.06707725428355236, 0.13191327531123534, -0.22643822848486403, -0.026731830281205474, -0.2702237151066462, -0.10730456175437818, -0.1520187264898171, 0.08066442567234237, -0.17070410877417697, -0.17674995924035708, 0.33491198319631316, 0.026230064053088427, 0.2538768156742056, -0.04795594583110263, 0.3178045352486273, 0.0640148093760945, 0.07143921217143846, 0.12212773187396427, 0.3928645619067053, 0.16203332293157777, 0.08254440576148529, -0.24490877928522725, -0.03799043933240076, 0.06257166905328632] |
710.5924 | Spin-Torque Driven Magnetization Dynamics: Micromagnetic Modelling | In this paper we present an overview of recent progress made in the
understanding of the spin-torque induced magnetization dynamics in nanodevices
using mesoscopic micromagnetic simulations. We first specify how a spin-torque
term may be added to the usual Landau-Lifshitz-Gilbert equation of
magnetization motion and detail its physical meaning. After a brief description
of spin-torque driven dynamics in the macrospin approximation, we discuss the
validity of this approximation for various experimentally relevant geometries.
Next, we perform a detailed comparison between accurate experimental data
obtained from nanopillar devices and corresponding numerical modelling. We show
that, on the one hand, many qualitatively important features of the observed
magnetization dynamics (e.g., non-linear frequency shift and frequency jumps
with increasing current) can be satisfactory explained by sophisticated
micromagnetic models, but on the other hand, understanding of these experiments
is still far from being complete. We proceed with the numerical analysis of
point-contact experiments, where an even more complicated magnetization
dynamics is observed. Simulations reveal that such a rich behaviour is due to
the formation of several strongly non-linear oscillation modes. In the last
part of the paper we emphasize the importance of sample characterization and
conclude with some important remarks concerning the relation between
micromagnetic modelling and real experiments.
| cond-mat.mes-hall | in this paper we present an overview of recent progress made in the understanding of the spintorque induced magnetization dynamics in nanodevices using mesoscopic micromagnetic simulations we first specify how a spintorque term may be added to the usual landaulifshitzgilbert equation of magnetization motion and detail its physical meaning after a brief description of spintorque driven dynamics in the macrospin approximation we discuss the validity of this approximation for various experimentally relevant geometries next we perform a detailed comparison between accurate experimental data obtained from nanopillar devices and corresponding numerical modelling we show that on the one hand many qualitatively important features of the observed magnetization dynamics eg nonlinear frequency shift and frequency jumps with increasing current can be satisfactory explained by sophisticated micromagnetic models but on the other hand understanding of these experiments is still far from being complete we proceed with the numerical analysis of pointcontact experiments where an even more complicated magnetization dynamics is observed simulations reveal that such a rich behaviour is due to the formation of several strongly nonlinear oscillation modes in the last part of the paper we emphasize the importance of sample characterization and conclude with some important remarks concerning the relation between micromagnetic modelling and real experiments | [['in', 'this', 'paper', 'we', 'present', 'an', 'overview', 'of', 'recent', 'progress', 'made', 'in', 'the', 'understanding', 'of', 'the', 'spintorque', 'induced', 'magnetization', 'dynamics', 'in', 'nanodevices', 'using', 'mesoscopic', 'micromagnetic', 'simulations', 'we', 'first', 'specify', 'how', 'a', 'spintorque', 'term', 'may', 'be', 'added', 'to', 'the', 'usual', 'landaulifshitzgilbert', 'equation', 'of', 'magnetization', 'motion', 'and', 'detail', 'its', 'physical', 'meaning', 'after', 'a', 'brief', 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710.5925 | The nature of the Lambda(1405) | We present here some results supporting the nature of the $\Lambda(1405)$
resonance as dynamically generated from the meson baryon interaction in coupled
channels and resulting from the superposition of two close-by poles. We find
support for this picture in the $K^- p \to \pi^0 \pi^0 \Sigma^0 $ reaction,
which shows a different shape than the one obtained from the $\pi ^- p \to K^0
\pi \Sigma $ reaction. We also call the attention to the $K^- p \to \gamma \pi
\Sigma$ with $\pi \Sigma$ in the $\Lambda(1405)$ region, which shows a narrow
peak in the calculations around 1420 MeV. We also report on recent calculations
of the radiative decay of the two $\Lambda(1405)$ states and on reactions to
obtain information on these decay modes. Finally, we present results for the
$pp\to p K^+\Lambda(1405)$ reaction recently measured at ANKE/COSY and compare
them with theoretical results.
| nucl-th | we present here some results supporting the nature of the lambda1405 resonance as dynamically generated from the meson baryon interaction in coupled channels and resulting from the superposition of two closeby poles we find support for this picture in the k p to pi0 pi0 sigma0 reaction which shows a different shape than the one obtained from the pi p to k0 pi sigma reaction we also call the attention to the k p to gamma pi sigma with pi sigma in the lambda1405 region which shows a narrow peak in the calculations around 1420 mev we also report on recent calculations of the radiative decay of the two lambda1405 states and on reactions to obtain information on these decay modes finally we present results for the ppto p klambda1405 reaction recently measured at ankecosy and compare them with theoretical results | [['we', 'present', 'here', 'some', 'results', 'supporting', 'the', 'nature', 'of', 'the', 'lambda1405', 'resonance', 'as', 'dynamically', 'generated', 'from', 'the', 'meson', 'baryon', 'interaction', 'in', 'coupled', 'channels', 'and', 'resulting', 'from', 'the', 'superposition', 'of', 'two', 'closeby', 'poles', 'we', 'find', 'support', 'for', 'this', 'picture', 'in', 'the', 'k', 'p', 'to', 'pi0', 'pi0', 'sigma0', 'reaction', 'which', 'shows', 'a', 'different', 'shape', 'than', 'the', 'one', 'obtained', 'from', 'the', 'pi', 'p', 'to', 'k0', 'pi', 'sigma', 'reaction', 'we', 'also', 'call', 'the', 'attention', 'to', 'the', 'k', 'p', 'to', 'gamma', 'pi', 'sigma', 'with', 'pi', 'sigma', 'in', 'the', 'lambda1405', 'region', 'which', 'shows', 'a', 'narrow', 'peak', 'in', 'the', 'calculations', 'around', '1420', 'mev', 'we', 'also', 'report', 'on', 'recent', 'calculations', 'of', 'the', 'radiative', 'decay', 'of', 'the', 'two', 'lambda1405', 'states', 'and', 'on', 'reactions', 'to', 'obtain', 'information', 'on', 'these', 'decay', 'modes', 'finally', 'we', 'present', 'results', 'for', 'the', 'ppto', 'p', 'klambda1405', 'reaction', 'recently', 'measured', 'at', 'ankecosy', 'and', 'compare', 'them', 'with', 'theoretical', 'results']] | [-0.09430494070319193, 0.1629121166816081, -0.11959626697498607, 0.06562430526911547, -0.03101518491686355, -0.11399986763883914, 0.1140177749463224, 0.33287709454141023, -0.22634690747197186, -0.22358977339629615, -0.07159644130011397, -0.36377674961861756, -0.09208600082867113, 0.1435613419760817, 0.10541181190450775, 0.04854256921514336, 0.06867993310359972, 0.10235882610348719, -0.0325251670570911, -0.14045211944196906, 0.33774115347436495, 0.007221999458436455, 0.1885604442063985, 0.10356150037758717, -0.020395648569267774, -0.008423462197450654, -0.02052391044895298, -0.09717105097203915, -0.21063782289025507, 0.0719591078627023, 0.2570181595365284, 0.0679080036668373, 0.13074131110416992, -0.36503535888290833, -0.1427237465852938, 0.08613166325792138, 0.1679777539110676, 0.1054925199880797, -0.03091615318636676, -0.33178406288581236, 0.1530801589534219, -0.1226230257390333, -0.0977662050231759, -0.05599512553308159, 0.06760576361765354, -0.05493674961118294, -0.30247999092763556, 0.048104997414546755, 0.009023874879598484, 0.05857484696805061, -0.07815524200975363, -0.2537615083740093, -0.011404038453474642, 0.03251917244799967, 0.07887393571685866, 0.07963526948650335, 0.13464681997429578, -0.08708014152485442, -0.1330648256997977, 0.36357853610201607, -0.07476368093391232, -0.16103741291777363, 0.1537455891658153, -0.2097501063286992, -0.1575683792554108, 0.19761113448600684, 0.1804837521198871, 0.07667215435898729, -0.10681043812073768, 0.0647721321841735, -0.034934557245911234, 0.16670233616272787, 0.0935937517522169, 0.025911195928763064, 0.13325100675158735, 0.1546558625871382, -0.03739326970784792, 0.10362108913000806, -0.1330770074026077, -0.06431612990397428, -0.34411400577851703, -0.09642395228147507, -0.0854041160516707, 0.09668573071581445, -0.01820982103537452, -0.05677709206606128, 0.37166726323110716, 0.047945266957062166, 0.3037253143166059, 0.017340196943197432, 0.278489724679717, 0.09850543185187105, 0.03094446844022189, 0.09636055085076285, 0.26034680149688416, 0.20395119054509062, 0.10052459909514125, -0.29242548201665547, 0.006227187580537118, -0.042645909381099044] |
710.5926 | Mod 2 cohomology of 2-local finite groups of low rank | We determine the mod $2$ cohomology over the Steenrod algebra of the
classifying spaces of the free loop groups $LG$ for compact groups $G=Spin(7)$,
$Spin(8)$, $Spin(9)$, and $F_4$. Then, we show that they are isomorphic as
algebras over the Steenrod algebra to the mod $2$ cohomology of the
corresponding Chevalley groups of type $G(q)$, where $q$ is an odd prime power.
In a similar manner, we compute the cohomology of the free loop space over
$BDI(4)$ and show that it is isomorphic to that of $BSol(q)$ as algebras over
the Steenrod algebra.
| math.AT math.GR | we determine the mod 2 cohomology over the steenrod algebra of the classifying spaces of the free loop groups lg for compact groups gspin7 spin8 spin9 and f_4 then we show that they are isomorphic as algebras over the steenrod algebra to the mod 2 cohomology of the corresponding chevalley groups of type gq where q is an odd prime power in a similar manner we compute the cohomology of the free loop space over bdi4 and show that it is isomorphic to that of bsolq as algebras over the steenrod algebra | [['we', 'determine', 'the', 'mod', '2', 'cohomology', 'over', 'the', 'steenrod', 'algebra', 'of', 'the', 'classifying', 'spaces', 'of', 'the', 'free', 'loop', 'groups', 'lg', 'for', 'compact', 'groups', 'gspin7', 'spin8', 'spin9', 'and', 'f_4', 'then', 'we', 'show', 'that', 'they', 'are', 'isomorphic', 'as', 'algebras', 'over', 'the', 'steenrod', 'algebra', 'to', 'the', 'mod', '2', 'cohomology', 'of', 'the', 'corresponding', 'chevalley', 'groups', 'of', 'type', 'gq', 'where', 'q', 'is', 'an', 'odd', 'prime', 'power', 'in', 'a', 'similar', 'manner', 'we', 'compute', 'the', 'cohomology', 'of', 'the', 'free', 'loop', 'space', 'over', 'bdi4', 'and', 'show', 'that', 'it', 'is', 'isomorphic', 'to', 'that', 'of', 'bsolq', 'as', 'algebras', 'over', 'the', 'steenrod', 'algebra']] | [-0.20399451669719484, 0.08472766449898093, -0.09999076566762394, 0.07329817519704294, -0.07823354828481872, -0.10093752901690702, -0.06683258188681471, 0.36898460772095454, -0.38990114873482123, -0.2181174054534899, 0.12679619814864257, -0.20976292899706298, -0.14776292589182655, 0.20611095924137368, -0.1724298352168666, -0.11048329379150851, 0.014482648701717456, 0.21625581106377972, -0.10474919453392634, -0.33762360342467823, 0.42510255099170735, -0.025017282889328068, 0.18054484145508873, -0.044602404695211186, 0.09480035138419933, 0.042408452524493136, -0.017743356377468444, -0.06423354744943531, -0.1268805089910327, 0.08750304854992363, 0.3510791974970036, 0.0229010133835901, 0.16999882869681138, -0.34644091352820394, -0.05357903562512042, 0.23457679776474832, 0.21373471327436466, -0.059408818824320204, 0.03956758723490768, -0.21871241947842968, 0.17255928328053818, -0.2828524043007443, -0.05142644340586331, -0.1069538873516851, 0.1258888595116635, -0.010403019950414698, -0.22071502402605903, -0.01993087327314748, 0.05899339558349715, 0.16132709794781275, -0.13305558682962632, -0.10336954698173537, -0.09981318851415481, 0.13014028675388545, -0.06367889392810563, 0.05854936174841391, 0.12341999855772075, -0.10230852085062199, -0.2103314162335462, 0.39253639897538556, 0.009223224512404865, -0.14718440442552996, 0.07820457014151745, -0.22432847174091472, -0.1988278788773136, 0.10227223467081785, 0.020331071317195894, 0.15081001683655712, 0.08763215989909239, 0.21224962949830417, -0.12462147059332994, 0.0686958998752137, 0.08324009873904288, -0.031358227749458616, 0.07941417163690656, 0.07411386297446572, 0.060195504284153385, 0.09337993254367676, 0.028941647232406668, 0.011614140584909668, -0.3924877850442297, -0.24330767705105244, -0.08687706312371625, 0.15390658682833117, -0.10350816223427602, -0.1299779628481095, 0.42282168384537927, 0.09028057845102416, 0.11911553951795213, 0.148339750783311, 0.2025112822237942, 0.036700402298528285, 0.17082822043448687, 0.07067010086094443, 0.08165719266980886, 0.2556775262217141, -0.09429978294194573, -0.16484807819231517, -0.1557452846525444, 0.24299265211448073] |
710.5927 | Circular polarimetry reveals helical magnetic fields in the young
stellar object HH 135-136 | Magnetic fields are believed to have a vital role in regulating and shaping
the flow of material onto and away from protostars during their initial mass
accretion phase. It is becoming increasingly accepted that bipolar outflows are
generated and collimated as material is driven along magnetic field lines and
centrifugally accelerated off a rotating accretion disk. However, the precise
role of the magnetic field is poorly understood and evidence for its shape and
structure has not been forthcoming. Here we report imaging circular polarimetry
in the near-infrared and Monte Carlo modelling showing that the magnetic field
along the bipolar outflow of the HH 135-136 young stellar object is helical.
The field retains this shape for large distances along the outflow, so the
field structure can also provide the necessary magnetic pressure for
collimation of the outflow. This result lends further weight to the hypothesis
- central to any theory of star formation - that the outflow is an important
instrument for the removal of high-angular-momentum material from the accretion
disk, thereby allowing the central protostar to increase its mass.
| astro-ph | magnetic fields are believed to have a vital role in regulating and shaping the flow of material onto and away from protostars during their initial mass accretion phase it is becoming increasingly accepted that bipolar outflows are generated and collimated as material is driven along magnetic field lines and centrifugally accelerated off a rotating accretion disk however the precise role of the magnetic field is poorly understood and evidence for its shape and structure has not been forthcoming here we report imaging circular polarimetry in the nearinfrared and monte carlo modelling showing that the magnetic field along the bipolar outflow of the hh 135136 young stellar object is helical the field retains this shape for large distances along the outflow so the field structure can also provide the necessary magnetic pressure for collimation of the outflow this result lends further weight to the hypothesis central to any theory of star formation that the outflow is an important instrument for the removal of highangularmomentum material from the accretion disk thereby allowing the central protostar to increase its mass | [['magnetic', 'fields', 'are', 'believed', 'to', 'have', 'a', 'vital', 'role', 'in', 'regulating', 'and', 'shaping', 'the', 'flow', 'of', 'material', 'onto', 'and', 'away', 'from', 'protostars', 'during', 'their', 'initial', 'mass', 'accretion', 'phase', 'it', 'is', 'becoming', 'increasingly', 'accepted', 'that', 'bipolar', 'outflows', 'are', 'generated', 'and', 'collimated', 'as', 'material', 'is', 'driven', 'along', 'magnetic', 'field', 'lines', 'and', 'centrifugally', 'accelerated', 'off', 'a', 'rotating', 'accretion', 'disk', 'however', 'the', 'precise', 'role', 'of', 'the', 'magnetic', 'field', 'is', 'poorly', 'understood', 'and', 'evidence', 'for', 'its', 'shape', 'and', 'structure', 'has', 'not', 'been', 'forthcoming', 'here', 'we', 'report', 'imaging', 'circular', 'polarimetry', 'in', 'the', 'nearinfrared', 'and', 'monte', 'carlo', 'modelling', 'showing', 'that', 'the', 'magnetic', 'field', 'along', 'the', 'bipolar', 'outflow', 'of', 'the', 'hh', '135136', 'young', 'stellar', 'object', 'is', 'helical', 'the', 'field', 'retains', 'this', 'shape', 'for', 'large', 'distances', 'along', 'the', 'outflow', 'so', 'the', 'field', 'structure', 'can', 'also', 'provide', 'the', 'necessary', 'magnetic', 'pressure', 'for', 'collimation', 'of', 'the', 'outflow', 'this', 'result', 'lends', 'further', 'weight', 'to', 'the', 'hypothesis', 'central', 'to', 'any', 'theory', 'of', 'star', 'formation', 'that', 'the', 'outflow', 'is', 'an', 'important', 'instrument', 'for', 'the', 'removal', 'of', 'highangularmomentum', 'material', 'from', 'the', 'accretion', 'disk', 'thereby', 'allowing', 'the', 'central', 'protostar', 'to', 'increase', 'its', 'mass']] | [-0.12385821944388392, 0.14861456947660787, -0.061873952125262636, 0.06762222478573676, -0.11770604945592243, -0.06021446384362538, -0.03994678580982674, 0.4672762066739696, -0.2615009672294532, -0.3058624962233642, 0.09990439228369558, -0.19352329545654356, -0.0464928691984493, 0.22597119981252367, -0.010082748832329262, -0.010982327841206412, 0.052673589751727624, -0.0549445709182857, -0.026116049761185423, -0.15158235034058717, 0.32711644484185276, 0.13493433286203071, 0.1620918966866818, 0.048485734640879935, 0.06945675573131832, -0.07828364973168143, -0.010899146389089186, -0.008331744333686815, -0.12388804153236131, 0.07599753370000557, 0.17852210967298146, 0.10370657090177039, 0.24963915976166556, -0.42279075100404123, -0.21805121993582527, 0.01767612566949207, 0.21616367404666645, 0.0738541538012214, -0.11949007977554257, -0.21802111400756985, 0.07003885263905184, -0.1632051645587622, -0.18161195838845082, -0.012773035373274151, 0.04883262162977851, 0.013738615100010065, -0.2579957843045122, 0.08885915500534546, 0.09086624474002747, 0.09314791881280887, -0.1130659105414948, -0.05060590468929149, -0.10228847949342294, 0.10059105555145917, 0.0848958985119349, 0.1567969251667488, 0.23718096190449697, -0.20988745387082666, -0.050099400914570484, 0.3771658389278772, -0.009939069163837385, -0.08060307837546464, 0.20989641414516055, -0.23242979880888015, -0.13096024059367747, 0.2013486635246822, 0.1476289515002546, 0.12138426945073827, -0.11704748840805802, 0.018053093996885847, -0.026969029927964915, 0.14316741542742503, 0.019344121355309406, 0.028477193238689903, 0.37065785930661316, 0.13767485789139755, 0.023580040998322973, 0.15839949797538627, -0.1895947163681161, -0.08740013112996663, -0.24324173921592196, -0.16485398245806043, -0.1528211828382072, 0.08303776040379902, -0.10219405309387432, -0.16090340504876044, 0.33021836019840767, 0.13764432432402496, 0.17935837809504432, -0.05820167784192811, 0.31341731123724126, 0.08562062356114356, 0.1064878075994784, 0.13630846079534173, 0.33032795995346864, 0.22666686354998752, 0.13794780803304588, -0.25270215688611974, 0.11788535456187012, 0.004754814102356745] |
710.5928 | Relations Between Standard Model Parameters from $T^{'}$ Flavor Symmetry | Spontaneously broken flavor symmetry involving the binary tetrahedral group
$T^{'}$ relates parameters in the standard model. In one example the CP
violating Pontecorvo-Maki-Nakagawa-Sakata phase $\delta_{PMNS}$ and atmospheric
mixing angle $\theta_{23}$ of neutrinos are related to the Cabibbo mixing angle
$\Theta_C$ for quarks. A second formula relates a ratio of neutrino mass
eigenvalues to the Cabibbo angle.
| hep-ph | spontaneously broken flavor symmetry involving the binary tetrahedral group t relates parameters in the standard model in one example the cp violating pontecorvomakinakagawasakata phase delta_pmns and atmospheric mixing angle theta_23 of neutrinos are related to the cabibbo mixing angle theta_c for quarks a second formula relates a ratio of neutrino mass eigenvalues to the cabibbo angle | [['spontaneously', 'broken', 'flavor', 'symmetry', 'involving', 'the', 'binary', 'tetrahedral', 'group', 't', 'relates', 'parameters', 'in', 'the', 'standard', 'model', 'in', 'one', 'example', 'the', 'cp', 'violating', 'pontecorvomakinakagawasakata', 'phase', 'delta_pmns', 'and', 'atmospheric', 'mixing', 'angle', 'theta_23', 'of', 'neutrinos', 'are', 'related', 'to', 'the', 'cabibbo', 'mixing', 'angle', 'theta_c', 'for', 'quarks', 'a', 'second', 'formula', 'relates', 'a', 'ratio', 'of', 'neutrino', 'mass', 'eigenvalues', 'to', 'the', 'cabibbo', 'angle']] | [-0.18952640007165344, 0.41065351245078174, 0.03165972690859979, 0.1522959467023611, -0.10451593879948963, -0.21135936658829452, 0.12468683445318178, 0.2571289699016647, -0.28446317951787603, -0.2921973594210365, 0.025338777844709427, -0.2769910280423408, -0.06476751368662173, 0.07991704222407531, 0.030724598179486664, 0.08136369606310671, 5.157621662047776e-05, -0.03742276443676515, -0.20178048599680717, -0.0933147975497625, 0.26653410529887134, 0.02570378909056837, 0.18768790429246357, 0.052620354218577796, 0.048458444155667996, -0.039556266528300264, -0.023525953021916478, -0.1399510095403953, -0.1113041007721966, -0.061546618068082766, 0.14013905385509134, 0.059043084948577663, -0.0594659274443984, -0.30683538541197775, -0.05796935554932464, 0.1681683847342025, 0.09400168990039012, 0.04780453841455958, -0.05532473160207949, -0.3030530825532465, -0.036979777196591554, -0.20591001343405382, -0.2249993389303034, -0.04289789071137255, -0.05150363894010132, -0.16741965372454037, -0.41224545443599875, 0.15734059275551276, -0.06871895431117578, 0.024383479619229383, 0.11207342936911366, -0.22242642744359645, -0.06848213369534774, 0.06706939674913884, 0.25307342829817736, -0.005293540377169848, 0.08676628166259351, -0.13791703914546155, -0.07501267346299507, 0.5174330036409877, -0.02024693254127421, -0.20247978059024635, 0.015472732111811638, -0.23596003632992507, -0.17625186305323784, 0.13862127266316251, 0.15536423940211536, 0.079558368797668, -0.12676641373810443, 0.1280713702118109, -0.15749690769748254, 0.18146188079633496, 0.13667396207932722, -0.05321002703329379, 0.26920107386328956, 0.1681125807660547, 0.12457461390982974, -0.018061193959279492, -0.08939027036963539, -0.107720316269181, -0.3484201843765649, -0.1337746245447885, -0.10695556733884257, 0.06318332862786272, -0.18381587077244396, -0.07439303829927336, 0.44549631489948793, 0.05397240455177697, 0.19057479493997315, 0.011753597178242424, 0.25751691548661754, 0.036214626428078524, 0.07840800281952728, -0.014129541115835309, 0.3225791597738862, 0.27024647702928634, 0.1295113004151393, -0.35810688535566443, 0.09986461384899237, 0.19519147519022226] |
710.5929 | Recent Results in Bottomonium / Ties to Charmonium | Recent results in studies of bottomonium especially relevant to charmonium
are reviewed. This report covers dipion transition matrix elements, $\eta$
production in $\Upsilon$ transitions, $\Upsilon$ decays to invisible particles,
a search for a non-standard-model pseudoscalar Higgs in $\Upsilon$ radiative
decays, and $\Upsilon$ radiative decays to $\rm{f_2(1270)}$, $\eta$, and
$\eta'$.
| hep-ex | recent results in studies of bottomonium especially relevant to charmonium are reviewed this report covers dipion transition matrix elements eta production in upsilon transitions upsilon decays to invisible particles a search for a nonstandardmodel pseudoscalar higgs in upsilon radiative decays and upsilon radiative decays to rmf_21270 eta and eta | [['recent', 'results', 'in', 'studies', 'of', 'bottomonium', 'especially', 'relevant', 'to', 'charmonium', 'are', 'reviewed', 'this', 'report', 'covers', 'dipion', 'transition', 'matrix', 'elements', 'eta', 'production', 'in', 'upsilon', 'transitions', 'upsilon', 'decays', 'to', 'invisible', 'particles', 'a', 'search', 'for', 'a', 'nonstandardmodel', 'pseudoscalar', 'higgs', 'in', 'upsilon', 'radiative', 'decays', 'and', 'upsilon', 'radiative', 'decays', 'to', 'rmf_21270', 'eta', 'and', 'eta']] | [-0.06047959854186047, 0.3782793437227762, -0.05425107306412732, 0.18296746632889457, -0.032378397537589386, -0.19923769950401038, 0.0813381456512919, 0.29966740030795336, -0.12196367114665918, -0.142759264272172, -0.1507657989835328, -0.3872772019434099, 0.07698985460835199, 0.10355572908398851, 0.14712181481687972, 0.23426556294240677, 0.19153864834758375, -0.011246438826977586, -0.06041142309550196, -0.12782759813126177, 0.29574304577545263, -0.04578005460401376, 0.0520018962076089, 0.19691107431329632, -0.19588720136865354, -0.007869351441816738, -0.09249792412326012, -0.15592828443429121, -0.24755211504331479, 0.001842106503318064, 0.2608126946724951, 0.10887136467499658, 0.05612813302044136, -0.2198514143625895, -0.06190325293088487, 0.17500010142005826, 0.21924042006139643, 0.07098956475965679, -0.0882368761037166, -0.3888296933534245, 0.12987498252186924, -0.21395468022092246, -0.010493142278695208, -0.11951794269164868, 0.09608578337550473, -0.12456780369393528, -0.40657451321991783, 0.019601996910447877, -0.141852754924912, 0.037283453726558946, -0.02362507689880052, -0.3054389770065124, 0.010944430095454058, -0.01337993424385786, 0.20477768906857818, 0.12242488526195909, 0.2722454713269447, -0.20365901335511202, -0.2577934597308437, 0.45820254056404036, -0.1104172892907324, -0.1469325325039487, 0.1755248513072729, -0.22100849573810896, -0.2510574671032373, 0.2566856066744852, 0.3017889494658448, 0.07298357031928997, -0.12290439892482634, 0.10405720426691308, 0.003562397954131787, 0.1542111376329558, 0.031630229321308434, 0.15735665384757644, 0.16232672873108336, 0.2000625446695873, -0.15524142815653855, 0.08472934490904056, -0.047955558402463794, -0.08506998590504129, -0.4293397213332355, -0.21820831849860647, -0.015577194950310513, 0.13054808157418543, 0.04704846454418051, -0.07504863680029909, 0.32286244504697, -0.03810150511950875, 0.34588565421290696, -0.0276755453281415, 0.33111878982163034, 0.08189320670013937, -0.017635532612378785, 0.07190050939486052, 0.391725133813452, 0.29486206790897995, 0.24916167239037654, -0.2991261840021859, -0.05499182064037692, 0.07073804613901302] |
710.593 | Quantifying the decay of quantum properties in single-mode states | The dissipative dynamics of Gaussian squeezed states (GSS) and coherent
superposition states (CSS) are analytically obtained and compared. Time scales
for sustaining different quantum properties such as squeezing, negativity of
the Wigner function or photon number distribution are calculated. Some of these
characteristic times also depend on initial conditions. For example, in the
particular case of squeezing, we find that while the squeezing of CSS is only
visible for small enough values of the field intensity, in GSS it is
independent of this quantity, which may be experimentally advantageous. The
asymptotic dynamics however is quite similar as revealed by the time evolution
of the fidelity between states of the two classes.
| quant-ph | the dissipative dynamics of gaussian squeezed states gss and coherent superposition states css are analytically obtained and compared time scales for sustaining different quantum properties such as squeezing negativity of the wigner function or photon number distribution are calculated some of these characteristic times also depend on initial conditions for example in the particular case of squeezing we find that while the squeezing of css is only visible for small enough values of the field intensity in gss it is independent of this quantity which may be experimentally advantageous the asymptotic dynamics however is quite similar as revealed by the time evolution of the fidelity between states of the two classes | [['the', 'dissipative', 'dynamics', 'of', 'gaussian', 'squeezed', 'states', 'gss', 'and', 'coherent', 'superposition', 'states', 'css', 'are', 'analytically', 'obtained', 'and', 'compared', 'time', 'scales', 'for', 'sustaining', 'different', 'quantum', 'properties', 'such', 'as', 'squeezing', 'negativity', 'of', 'the', 'wigner', 'function', 'or', 'photon', 'number', 'distribution', 'are', 'calculated', 'some', 'of', 'these', 'characteristic', 'times', 'also', 'depend', 'on', 'initial', 'conditions', 'for', 'example', 'in', 'the', 'particular', 'case', 'of', 'squeezing', 'we', 'find', 'that', 'while', 'the', 'squeezing', 'of', 'css', 'is', 'only', 'visible', 'for', 'small', 'enough', 'values', 'of', 'the', 'field', 'intensity', 'in', 'gss', 'it', 'is', 'independent', 'of', 'this', 'quantity', 'which', 'may', 'be', 'experimentally', 'advantageous', 'the', 'asymptotic', 'dynamics', 'however', 'is', 'quite', 'similar', 'as', 'revealed', 'by', 'the', 'time', 'evolution', 'of', 'the', 'fidelity', 'between', 'states', 'of', 'the', 'two', 'classes']] | [-0.14926272806887692, 0.22238095235582944, -0.1151148619409231, 0.08759732165810157, 0.05184481813895373, -0.13953978193688904, 0.0011613501533698123, 0.37264246241869153, -0.24246683867799268, -0.2636028542728709, 0.09802536839862598, -0.22073802093845196, -0.11174934336219218, 0.2573379130325037, 0.004930218706863957, 0.08472312294559758, 0.05492659544924627, 0.047120158145254526, -0.05182469655289776, -0.22734977989583402, 0.33876378315622574, 0.023682525267128135, 0.286248892486968, 0.020542297310925817, 0.0810361145617994, -0.021659921196096384, 0.03403210395376559, -0.01111725339380739, -0.07154344800716268, 0.03189549635443417, 0.23389177907023345, 0.09052204898906492, 0.23087302311365535, -0.3831527238661373, -0.21397455191860595, 0.11383652082132595, 0.14232273980254634, 0.1562033843360254, -0.0054255989684328975, -0.28444734671958594, 0.0396032001454014, -0.1445155937459555, -0.14966058989919656, -0.0969616798684001, 0.06396792371451082, 0.0601549627734474, -0.24746073113527853, 0.14136135270415284, 0.03748927263045885, 0.023857859760388598, -0.029194854145349416, -0.11316045753758501, -0.07097274916003214, 0.12223064623194167, 0.015553471480326063, -0.03655259915719832, 0.128761817410647, -0.17391818813635623, -0.06956074157780087, 0.3322801021187826, -0.06353428598644363, -0.19743818068155297, 0.16607108243178945, -0.16903690615803138, -0.07948144396079017, 0.10534815278390909, 0.12064263411915047, 0.13777147840733664, -0.0849236288519056, 0.02550745452859078, -0.042489528299418385, 0.19225851074490394, 0.12081357614800066, 0.18136258370050037, 0.18707094637693855, 0.09237318363267223, 0.04628091987730046, 0.18673217219304764, -0.09315226309899208, -0.14635078940406307, -0.3293842503482157, -0.1355207015336533, -0.25387526435257346, 0.07342455262603524, -0.09637240237773496, -0.1370459959364018, 0.4335426300227105, 0.10857109123576633, 0.1804272518283478, 0.04065927532648349, 0.2626766072300909, 0.15395002978274952, 0.03329837868443212, 0.07189336879942398, 0.2727124730750671, 0.1359299729779564, 0.03628768911794969, -0.24922217921613976, 0.09276610785289793, -0.0378739048877882] |
710.5931 | Free Bessel laws | We introduce and study a remarkable family of real probability measures
$\pi_{st}$, that we call free Bessel laws. These are related to the free
Poisson law $\pi$ via the formulae $\pi_{s1}=\pi^{\boxtimes s}$ and
$\pi_{1t}=\pi^{\boxplus t}$. Our study includes: definition and basic
properties, analytic aspects (supports, atoms, densities), combinatorial
aspects (functional transforms, moments, partitions), and a discussion of the
relation with random matrices and quantum groups.
| math.PR math.QA | we introduce and study a remarkable family of real probability measures pi_st that we call free bessel laws these are related to the free poisson law pi via the formulae pi_s1piboxtimes s and pi_1tpiboxplus t our study includes definition and basic properties analytic aspects supports atoms densities combinatorial aspects functional transforms moments partitions and a discussion of the relation with random matrices and quantum groups | [['we', 'introduce', 'and', 'study', 'a', 'remarkable', 'family', 'of', 'real', 'probability', 'measures', 'pi_st', 'that', 'we', 'call', 'free', 'bessel', 'laws', 'these', 'are', 'related', 'to', 'the', 'free', 'poisson', 'law', 'pi', 'via', 'the', 'formulae', 'pi_s1piboxtimes', 's', 'and', 'pi_1tpiboxplus', 't', 'our', 'study', 'includes', 'definition', 'and', 'basic', 'properties', 'analytic', 'aspects', 'supports', 'atoms', 'densities', 'combinatorial', 'aspects', 'functional', 'transforms', 'moments', 'partitions', 'and', 'a', 'discussion', 'of', 'the', 'relation', 'with', 'random', 'matrices', 'and', 'quantum', 'groups']] | [-0.12526336878598218, 0.16878836645780887, -0.11211146361705276, 0.10735413199290633, -0.08372483925232964, -0.1030988352853925, 0.07417573498546957, 0.343048308224928, -0.2709783437030931, -0.22785694917453633, 0.029354841756303946, -0.3109805841719912, -0.21707299145899953, 0.17410975038975238, -0.06554648496450917, 0.05731760336446666, 0.010460784763938958, 0.022029613385037068, -0.1237066733112677, -0.19707561718044622, 0.3657515936140572, -0.006319638035605631, 0.28389516768736706, 0.027898603411872062, 0.09947353587185423, 0.047376362171264425, -0.08807844975061956, -3.7688101010937843e-05, -0.22940341029149544, 0.14952874363910768, 0.21233424994974368, 0.11792791347890612, 0.21992637648157054, -0.3958114357364754, -0.15994495866940386, 0.09592218884837724, 0.06192010776477776, 0.013456034344046438, -0.039783176282540925, -0.2683201511615827, 0.08590308515234821, -0.1569257545014543, -0.1624253344188835, -0.14140198471385143, 0.041639182536352064, 0.12426999769353818, -0.24316740815617865, 0.05407718237068865, 0.09614733356471744, 0.06210770783945918, -0.0415787831279299, -0.1503238196695043, 0.05473574099221056, 0.0928691133346048, 0.03379270550043833, -0.06388200715094083, 0.12853544225705968, -0.066619820807377, -0.15435414249828505, 0.3777806113742577, -6.831770822886498e-05, -0.22266256052159494, 0.17809458844543946, -0.1773978632258912, -0.1731873192268634, 0.05404060600595849, 0.1114485788820011, 0.10075599228038036, -0.1347907490036901, 0.14747643575444067, -0.06345634497401695, 0.09539132397021016, 0.06126187954308285, 0.059095959967723294, 0.17232875620585777, 0.037465503063773914, 0.041386308231120626, 0.19095749866908357, -0.0010670759009137269, -0.17638113824350218, -0.3619040145628875, -0.2078860612330778, -0.1441972721668501, 0.08059993154940105, -0.10705571483718344, -0.18326440906046979, 0.40047935588705924, 0.06986920990710778, 0.1936194400543407, 0.11846228061063636, 0.21558620896370662, 0.16008325920988536, 0.017915475880727172, 0.02702416214836581, 0.0076593501012652155, 0.24256284085793361, 0.030054718878208434, -0.14588711451318476, 0.02432498425966309, 0.14389732702364844] |
710.5932 | Simulating elliptic flow with viscous hydrodynamics | In this work we simulate a viscous hydrodynamical model of non-central Au-Au
collisions in 2+1 dimensions, assuming longitudinal boost invariance. The model
fluid equations were proposed by \"{O}ttinger and Grmela \cite{OG}. Freezeout
is signaled when the viscous corrections become large relative to the ideal
terms. Then viscous corrections to the transverse momentum and differential
elliptic flow spectra are calculated. When viscous corrections to the thermal
distribution function are not included, the effects of viscosity on elliptic
flow are modest. However, when these corrections are included, the elliptic
flow is strongly modified at large $p_T$. We also investigate the stability of
the viscous results by comparing the non-ideal components of the stress tensor
($\pi^{ij}$) and their influence on the $v_2$ spectrum to the expectation of
the Navier-Stokes equations ($\pi^{ij} = -\eta \llangle \partial_i u_j
\rrangle$). We argue that when the stress tensor deviates from the
Navier-Stokes form the dissipative corrections to spectra are too large for a
hydrodynamic description to be reliable. For typical RHIC initial conditions
this happens for $\eta/s \gsim 0.3$.
| nucl-th hep-ph | in this work we simulate a viscous hydrodynamical model of noncentral auau collisions in 21 dimensions assuming longitudinal boost invariance the model fluid equations were proposed by ottinger and grmela citeog freezeout is signaled when the viscous corrections become large relative to the ideal terms then viscous corrections to the transverse momentum and differential elliptic flow spectra are calculated when viscous corrections to the thermal distribution function are not included the effects of viscosity on elliptic flow are modest however when these corrections are included the elliptic flow is strongly modified at large p_t we also investigate the stability of the viscous results by comparing the nonideal components of the stress tensor piij and their influence on the v_2 spectrum to the expectation of the navierstokes equations piij eta llangle partial_i u_j rrangle we argue that when the stress tensor deviates from the navierstokes form the dissipative corrections to spectra are too large for a hydrodynamic description to be reliable for typical rhic initial conditions this happens for etas gsim 03 | [['in', 'this', 'work', 'we', 'simulate', 'a', 'viscous', 'hydrodynamical', 'model', 'of', 'noncentral', 'auau', 'collisions', 'in', '21', 'dimensions', 'assuming', 'longitudinal', 'boost', 'invariance', 'the', 'model', 'fluid', 'equations', 'were', 'proposed', 'by', 'ottinger', 'and', 'grmela', 'citeog', 'freezeout', 'is', 'signaled', 'when', 'the', 'viscous', 'corrections', 'become', 'large', 'relative', 'to', 'the', 'ideal', 'terms', 'then', 'viscous', 'corrections', 'to', 'the', 'transverse', 'momentum', 'and', 'differential', 'elliptic', 'flow', 'spectra', 'are', 'calculated', 'when', 'viscous', 'corrections', 'to', 'the', 'thermal', 'distribution', 'function', 'are', 'not', 'included', 'the', 'effects', 'of', 'viscosity', 'on', 'elliptic', 'flow', 'are', 'modest', 'however', 'when', 'these', 'corrections', 'are', 'included', 'the', 'elliptic', 'flow', 'is', 'strongly', 'modified', 'at', 'large', 'p_t', 'we', 'also', 'investigate', 'the', 'stability', 'of', 'the', 'viscous', 'results', 'by', 'comparing', 'the', 'nonideal', 'components', 'of', 'the', 'stress', 'tensor', 'piij', 'and', 'their', 'influence', 'on', 'the', 'v_2', 'spectrum', 'to', 'the', 'expectation', 'of', 'the', 'navierstokes', 'equations', 'piij', 'eta', 'llangle', 'partial_i', 'u_j', 'rrangle', 'we', 'argue', 'that', 'when', 'the', 'stress', 'tensor', 'deviates', 'from', 'the', 'navierstokes', 'form', 'the', 'dissipative', 'corrections', 'to', 'spectra', 'are', 'too', 'large', 'for', 'a', 'hydrodynamic', 'description', 'to', 'be', 'reliable', 'for', 'typical', 'rhic', 'initial', 'conditions', 'this', 'happens', 'for', 'etas', 'gsim', '03']] | [-0.12652469674595157, 0.1836251233046328, -0.13631871543701984, 0.08027616272607964, -0.02728162766545788, -0.10489103699961823, -0.14300662923386756, 0.2835566647361942, -0.2727273704078394, -0.25753031115599734, 0.04987894255015441, -0.34292312226297256, 0.0009746474958398563, 0.1661529361471132, -0.009510427863967276, 0.09767362923210787, 0.08531428312375294, -0.01106842437725581, -0.06651063123578485, -0.21640338034028866, 0.34116891368074775, 0.0531854663869578, 0.2367421860143007, 0.0999791273445694, 0.05034356945735252, -0.03575039945241666, -0.033961466212427904, 0.09160722904799584, -0.19697666845395415, 0.012141302433094947, 0.20921623304592232, -0.051014225639982855, 0.18507822155450543, -0.40409315612256347, -0.19630026965106498, 0.09882905135421964, 0.12069491372014324, 0.12176727727724763, 0.030026599406515676, -0.20228307132057088, 0.1068214175073865, -0.22483534171262723, -0.1285002697653048, -0.08987618965085618, 0.039409373704243654, 0.02831660826832703, -0.3162128875160333, 0.18928667748661315, 0.05008599903696101, 0.05363095425693932, -0.07974115995032166, -0.12393211146459697, -0.10266573205980623, 0.0446498137320152, 0.10305058659182605, 0.013909112268565279, 0.16058704149379524, -0.20648332740651432, -0.006758143704295337, 0.4344888466248612, -0.07461049272762445, -0.23935373820968162, 0.1409031187719526, -0.19393704879002835, -0.08641994029316984, 0.15381366692617268, 0.2290701839841434, 0.12638830033188106, -0.13688341202040086, 0.055060783888054396, -0.016575776375160958, 0.12747325728268188, 0.044450770629971416, -0.027947167824106122, 0.15955656272788604, 0.09272454327953879, -0.031515238222829554, 0.11158390337682167, -0.06491317646970071, -0.10573693710340265, -0.37276479901890913, -0.10540465029475173, -0.13520782631069064, 0.09910941216406276, -0.13754569843223577, -0.125280290376395, 0.33401316031953043, 0.1385457600015275, 0.20136534833784275, 0.04545979243758954, 0.3075128449322265, 0.1659798651632524, 0.04612104172963359, 0.14025192358809896, 0.30845043233255603, 0.15942342303244364, 0.1751311116037656, -0.29216907872863024, 0.02318150223048772, 0.10126425171951334] |
710.5933 | Three-body description of direct nuclear reactions: Comparison with the
continuum discretized coupled channels method | The continuum discretized coupled channels (CDCC) method is compared to the
exact solution of the three-body Faddeev equations in momentum space. We
present results for: i) elastic and breakup observables of d-12C at E_d=56 MeV,
ii) elastic scattering of d-58Ni at E_d=80 MeV, and iii) elastic, breakup and
transfer observables for 11Be+p at E_{11Be}/A=38.4 MeV. Our comparative studies
show that, in the first two cases, the CDCC method is a good approximation to
the full three-body Faddeev solution, but for the 11Be exotic nucleus,
depending on the observable or the kinematic regime, it may miss out some of
the dynamic three-body effects that appear through the explicit coupling to the
transfer channel.
| nucl-th | the continuum discretized coupled channels cdcc method is compared to the exact solution of the threebody faddeev equations in momentum space we present results for i elastic and breakup observables of d12c at e_d56 mev ii elastic scattering of d58ni at e_d80 mev and iii elastic breakup and transfer observables for 11bep at e_11bea384 mev our comparative studies show that in the first two cases the cdcc method is a good approximation to the full threebody faddeev solution but for the 11be exotic nucleus depending on the observable or the kinematic regime it may miss out some of the dynamic threebody effects that appear through the explicit coupling to the transfer channel | [['the', 'continuum', 'discretized', 'coupled', 'channels', 'cdcc', 'method', 'is', 'compared', 'to', 'the', 'exact', 'solution', 'of', 'the', 'threebody', 'faddeev', 'equations', 'in', 'momentum', 'space', 'we', 'present', 'results', 'for', 'i', 'elastic', 'and', 'breakup', 'observables', 'of', 'd12c', 'at', 'e_d56', 'mev', 'ii', 'elastic', 'scattering', 'of', 'd58ni', 'at', 'e_d80', 'mev', 'and', 'iii', 'elastic', 'breakup', 'and', 'transfer', 'observables', 'for', '11bep', 'at', 'e_11bea384', 'mev', 'our', 'comparative', 'studies', 'show', 'that', 'in', 'the', 'first', 'two', 'cases', 'the', 'cdcc', 'method', 'is', 'a', 'good', 'approximation', 'to', 'the', 'full', 'threebody', 'faddeev', 'solution', 'but', 'for', 'the', '11be', 'exotic', 'nucleus', 'depending', 'on', 'the', 'observable', 'or', 'the', 'kinematic', 'regime', 'it', 'may', 'miss', 'out', 'some', 'of', 'the', 'dynamic', 'threebody', 'effects', 'that', 'appear', 'through', 'the', 'explicit', 'coupling', 'to', 'the', 'transfer', 'channel']] | [-0.08771421980191865, 0.10062516964796298, -0.11509304914078763, 0.10364542762421616, -0.01612441721652362, -0.13142021950597893, 0.044547439735154355, 0.3555139276761351, -0.24420226546760015, -0.2579569359801991, -0.01790948475069665, -0.3160688558127731, -0.061926407302413486, 0.1312430140909405, 0.09839085852375852, 0.10499624068022899, 0.13640402348378217, 0.00801425874216772, -0.09049654753333977, -0.17054938718254836, 0.3445397155394532, 0.06816690089620368, 0.20001959458063795, 0.1200296118524489, 0.07719151860647747, 0.05237631505917547, 0.007056330093446205, -0.05714072649633001, -0.156987671806935, 0.053583317011252116, 0.2708920825905395, 0.008554269524537167, 0.16279574184028325, -0.4012935721087006, -0.1844467725077609, 0.03693393861242342, 0.19108139923861567, 0.18172179880323555, 0.01828137426615148, -0.29845652721365384, 0.020880700326261093, -0.18883332157648117, -0.13804091429689302, -0.09914566616896751, 0.043991653951552676, 0.005828142429719556, -0.292878254149812, 0.10927895395050072, 0.007770649785667939, -0.03168994412353297, -0.14685190864179706, -0.1956983635307483, 0.012978786365392635, 0.062765744960656, 0.06759116616767813, 0.003538394871800435, 0.1313572068795351, -0.12309917628782678, -0.07021356103634287, 0.40713959688953355, -0.006074431352317333, -0.2151179018623705, 0.16532081678204397, -0.13212107967163594, -0.10957863687467322, 0.2191174073641206, 0.1904966577729386, 0.11799566577329247, -0.14636036580129755, 0.08598784618529948, -0.03241450055656111, 0.1478684912809118, 0.07193053956582861, 0.006863119502393705, 0.11071459406037938, 0.19171611885628048, -0.0018414566963296031, 0.07298054229160596, -0.13433721913508018, -0.15721556269300152, -0.376819372880009, -0.09026610917512784, -0.1239918044082961, 0.031274143623996456, -0.04463777522392294, -0.11725321836453283, 0.3149068464112099, 0.08298389518972298, 0.1770088287720562, 0.016658959971775987, 0.3150124285668838, 0.11059752816250899, 0.04837573972038643, 0.07589353145240753, 0.3539715104196594, 0.16210047713533607, 0.08366404605572517, -0.32754032780363596, 0.00824198370111913, 0.046772017166730157] |
710.5934 | Dynamic of threshold solutions for energy-critical wave equation | We consider the energy-critical non-linear focusing wave equation in
dimension N=3,4,5. An explicit stationnary solution, $W$, of this equation is
known. The energy E(W,0) has been shown by C. Kenig and F. Merle to be a
threshold for the dynamical behavior of solutions of the equation. In the
present article we study the dynamics at the critical level E(u_0,u_1)=E(W,0)
and classify the corresponding solutions. We show in particular the existence
of two special solutions, connecting different behaviors for negative and
positive times. Our results are analoguous to our previous work on radial
Schr\"odinger equation, but without any radial assumption on the data. We also
refine the understanding of the dynamical behavior of the special solutions.
| math.AP | we consider the energycritical nonlinear focusing wave equation in dimension n345 an explicit stationnary solution w of this equation is known the energy ew0 has been shown by c kenig and f merle to be a threshold for the dynamical behavior of solutions of the equation in the present article we study the dynamics at the critical level eu_0u_1ew0 and classify the corresponding solutions we show in particular the existence of two special solutions connecting different behaviors for negative and positive times our results are analoguous to our previous work on radial schrodinger equation but without any radial assumption on the data we also refine the understanding of the dynamical behavior of the special solutions | [['we', 'consider', 'the', 'energycritical', 'nonlinear', 'focusing', 'wave', 'equation', 'in', 'dimension', 'n345', 'an', 'explicit', 'stationnary', 'solution', 'w', 'of', 'this', 'equation', 'is', 'known', 'the', 'energy', 'ew0', 'has', 'been', 'shown', 'by', 'c', 'kenig', 'and', 'f', 'merle', 'to', 'be', 'a', 'threshold', 'for', 'the', 'dynamical', 'behavior', 'of', 'solutions', 'of', 'the', 'equation', 'in', 'the', 'present', 'article', 'we', 'study', 'the', 'dynamics', 'at', 'the', 'critical', 'level', 'eu_0u_1ew0', 'and', 'classify', 'the', 'corresponding', 'solutions', 'we', 'show', 'in', 'particular', 'the', 'existence', 'of', 'two', 'special', 'solutions', 'connecting', 'different', 'behaviors', 'for', 'negative', 'and', 'positive', 'times', 'our', 'results', 'are', 'analoguous', 'to', 'our', 'previous', 'work', 'on', 'radial', 'schrodinger', 'equation', 'but', 'without', 'any', 'radial', 'assumption', 'on', 'the', 'data', 'we', 'also', 'refine', 'the', 'understanding', 'of', 'the', 'dynamical', 'behavior', 'of', 'the', 'special', 'solutions']] | [-0.1480957792557188, 0.03424530570293683, -0.08688891565901015, 0.04865838967369902, -0.07495115149210681, -0.10563816121787552, -0.012914173866687506, 0.2928309473780948, -0.23133478588434836, -0.24850795872248055, 0.12507977828653039, -0.32479958760290684, -0.15944942596711612, 0.19017910127417723, -0.0032656421770521425, 0.08767940558231714, 0.03996547834392179, 0.05769927507233724, -0.07304683898722655, -0.23188382254406942, 0.4086289108820717, -0.02331375059459293, 0.25112646214435236, 0.0706508319759578, 0.0859173781722539, -0.02167266042976591, 0.0034693972567063675, -0.013119664369967947, -0.2200321125230658, 0.059606315302580856, 0.1962569937469405, 0.08020803799215508, 0.2725127198847762, -0.40541732365167454, -0.24029246677456653, 0.1159854303369413, 0.14507043290180727, 0.14578070153743683, -0.04109009475602458, -0.29636171177487103, 0.08750903536361364, -0.10304299141525437, -0.2275736322830709, -0.051238862225753176, 0.057090797651510095, 0.07538729869523658, -0.23868827744828244, 0.0839856267667257, 0.0957391469289034, 0.020040355116259633, -0.1574724983187033, -0.1015372958132311, -0.021747212154431303, 0.07956599102563862, 0.07102827534279704, 0.015585859806793579, 0.013408385633834098, -0.13833675232691398, -0.08637264624989607, 0.3380093039993785, -0.08936643345371346, -0.25347037526795213, 0.19111387211862102, -0.1567976375829363, -0.13454140318770028, 0.08628218390023042, 0.18170044516425646, 0.16165131306798572, -0.1304204106747516, 0.13740728011512066, -0.05493188177614795, 0.13872517141709595, 0.09907807183059815, -0.014538240872258157, 0.09504345205986235, 0.13329290140934877, 0.06987210124600352, 0.11928939521251443, -0.016732575600607355, -0.09420510666167135, -0.31177634454593717, -0.15911270967243532, -0.13653001103452161, 0.10758439375211692, -0.07895758685519563, -0.12507759210354397, 0.4219568026856634, 0.13643122375370903, 0.19275069402596146, 0.06548629674995154, 0.21896167031669042, 0.19992170215935626, -0.02802383249294699, 0.09111583802702003, 0.248789062016856, 0.10419466756611016, 0.12819513532316737, -0.24984609932442636, 0.023837848419421596, 0.10201748761985648] |
710.5935 | On Optimality Properties of the Shiryaev-Roberts Procedure | We consider the simple changepoint problem setting, where observations are
independent, iid pre-change and iid post-change, with known pre- and
post-change distributions. The Shiryaev-Roberts detection procedure is known to
be asymptotically minimax in the sense of minimizing maximal expected detection
delay subject to a bound on the average run length to false alarm, as the
latter goes to infinity. Here we present other optimality properties of the
Shiryaev-Roberts procedure.
| math.ST math.PR stat.TH | we consider the simple changepoint problem setting where observations are independent iid prechange and iid postchange with known pre and postchange distributions the shiryaevroberts detection procedure is known to be asymptotically minimax in the sense of minimizing maximal expected detection delay subject to a bound on the average run length to false alarm as the latter goes to infinity here we present other optimality properties of the shiryaevroberts procedure | [['we', 'consider', 'the', 'simple', 'changepoint', 'problem', 'setting', 'where', 'observations', 'are', 'independent', 'iid', 'prechange', 'and', 'iid', 'postchange', 'with', 'known', 'pre', 'and', 'postchange', 'distributions', 'the', 'shiryaevroberts', 'detection', 'procedure', 'is', 'known', 'to', 'be', 'asymptotically', 'minimax', 'in', 'the', 'sense', 'of', 'minimizing', 'maximal', 'expected', 'detection', 'delay', 'subject', 'to', 'a', 'bound', 'on', 'the', 'average', 'run', 'length', 'to', 'false', 'alarm', 'as', 'the', 'latter', 'goes', 'to', 'infinity', 'here', 'we', 'present', 'other', 'optimality', 'properties', 'of', 'the', 'shiryaevroberts', 'procedure']] | [-0.0871630942961876, 0.07371765937305232, -0.05874878141111222, 0.09578311944927048, -0.054787582640225686, -0.23585448424210367, 0.1467932334297971, 0.3844462409885465, -0.2245781335817731, -0.2845382893431014, 0.16487394021385335, -0.26250507480100443, -0.1324001296011704, 0.13834235242203527, -0.18148097542344013, 0.14743465572541606, 0.05352434024646662, 0.11261935548289963, -0.05128527914538332, -0.34920382265177, 0.244872790477846, 0.09365593768197342, 0.29315114640158374, -0.08046056135841038, 0.07976250110980312, 0.05579932197334542, -0.04199651817696682, -0.022395138173242627, -0.17591559534143333, -0.00476217463079408, 0.2708108861174812, 0.2008768511113358, 0.2962846124774196, -0.316909653701536, -0.17455749354068784, 0.19577550592805273, 0.14408960825750144, 0.054683136443297066, 0.009613461149653987, -0.3175403644479271, 0.07988676375142582, -0.11872780092222535, -0.09963692443958228, 0.02249140362592711, 0.0008086971398712932, 0.03720756078246927, -0.36939636312857055, 0.12810775705788663, 0.05885711987165437, -0.016968906654611877, -0.06371677450943684, -0.12908336580933436, 0.09318100261515465, 0.10662624263879505, 0.15290991670580284, -0.0202301316017258, 0.14595860692308002, -0.06057710555530545, -0.12797069105663864, 0.29857745083669823, -0.07422641683639823, -0.2245849962413743, 0.15889030397343246, -0.11328314749550993, -0.12089132246952775, 0.1094423308968544, 0.18400504461665085, 0.17824928880925628, -0.149444706859472, 0.04903132702473659, -0.021499767031670763, 0.09780835599193106, 0.10149153380695244, 0.03359441355248724, 0.12398783504908932, 0.12210406491235978, 0.1588807433195736, 0.17743223493807422, -0.15086228703148663, -0.10800178706699955, -0.36233169391103415, -0.11240325604676796, -0.22975862119346857, 0.06736801393276108, -0.11117249706960823, -0.2075517045037038, 0.29337911353702995, 0.16754999568186485, 0.19151963542579956, 0.20802393466558144, 0.27837858219509537, 0.15177406267890625, -0.06213860036940246, 0.11748683986429503, 0.228398982691916, 0.13695281924362684, -0.004630945886120848, -0.17587290658359078, 0.15925889697087847, 0.03629149055864284] |
710.5936 | Mechanical Design, Control Choices and first Return of Use of a
Prosthetic Arm | In the world of upper limb prostheses, few companies dominate the majority of
the market. They propose different kinds of hand, wrist and elbow prostheses
but their control is often difficult to understand by the patients. We have
decided to develop new myoelectric prosthetic arm (elbow, wrist and hand) by
axing our development on the use of new technologies and facility of use for
the patient. In this paper, we are explaining in details the different kinds of
prostheses currently proposed to the amputees, their advantages and their
drawbacks, the descriptions of the patients' needs and the possible
improvements of the product. We will develop the designing choices of our
prosthesis and the movements it can realize. Then we will explain the
simplified control of the product by the patient and its first reactions.
Finally, we will conclude by the news ideas and the next researches to
concretize.
| physics.med-ph | in the world of upper limb prostheses few companies dominate the majority of the market they propose different kinds of hand wrist and elbow prostheses but their control is often difficult to understand by the patients we have decided to develop new myoelectric prosthetic arm elbow wrist and hand by axing our development on the use of new technologies and facility of use for the patient in this paper we are explaining in details the different kinds of prostheses currently proposed to the amputees their advantages and their drawbacks the descriptions of the patients needs and the possible improvements of the product we will develop the designing choices of our prosthesis and the movements it can realize then we will explain the simplified control of the product by the patient and its first reactions finally we will conclude by the news ideas and the next researches to concretize | [['in', 'the', 'world', 'of', 'upper', 'limb', 'prostheses', 'few', 'companies', 'dominate', 'the', 'majority', 'of', 'the', 'market', 'they', 'propose', 'different', 'kinds', 'of', 'hand', 'wrist', 'and', 'elbow', 'prostheses', 'but', 'their', 'control', 'is', 'often', 'difficult', 'to', 'understand', 'by', 'the', 'patients', 'we', 'have', 'decided', 'to', 'develop', 'new', 'myoelectric', 'prosthetic', 'arm', 'elbow', 'wrist', 'and', 'hand', 'by', 'axing', 'our', 'development', 'on', 'the', 'use', 'of', 'new', 'technologies', 'and', 'facility', 'of', 'use', 'for', 'the', 'patient', 'in', 'this', 'paper', 'we', 'are', 'explaining', 'in', 'details', 'the', 'different', 'kinds', 'of', 'prostheses', 'currently', 'proposed', 'to', 'the', 'amputees', 'their', 'advantages', 'and', 'their', 'drawbacks', 'the', 'descriptions', 'of', 'the', 'patients', 'needs', 'and', 'the', 'possible', 'improvements', 'of', 'the', 'product', 'we', 'will', 'develop', 'the', 'designing', 'choices', 'of', 'our', 'prosthesis', 'and', 'the', 'movements', 'it', 'can', 'realize', 'then', 'we', 'will', 'explain', 'the', 'simplified', 'control', 'of', 'the', 'product', 'by', 'the', 'patient', 'and', 'its', 'first', 'reactions', 'finally', 'we', 'will', 'conclude', 'by', 'the', 'news', 'ideas', 'and', 'the', 'next', 'researches', 'to', 'concretize']] | [-0.060895003720509766, 0.0824477637018755, -0.06713351680894009, 0.05033800434828007, -0.1291744341300864, -0.12218297073787053, 0.0676449132349887, 0.4090511244309901, -0.23903175159579232, -0.3167167549357325, 0.15650124078201522, -0.2635411766934253, -0.18144319094970923, 0.22563723876413438, -0.16461113381174197, 0.019746146522395844, 0.05155832910823927, 0.03910954738808733, -0.026325579413900242, -0.2759531317880618, 0.302136308241946, 0.05583287812262571, 0.28026248063721065, 0.0645865941401191, 0.09240594452411748, -0.02144445698719383, -0.044903533141204745, -0.03832765106669291, -0.12352721009650552, 0.1984150630966792, 0.28150685478736753, 0.17565144758456114, 0.32322586958809774, -0.4870351073490519, -0.1520050200792093, 0.07244342036123964, 0.12722656329409504, 0.08274440310553324, -0.019264377283762357, -0.30163233245558224, 0.08278080837509665, -0.18773084235548668, -0.10748880651865002, -0.08680248754035656, -0.01060586034947512, 0.03834383675590276, -0.21377930048929186, -0.015582028111176831, 0.0216878271363929, 0.04479577819334476, -0.058272059420028666, -0.12165763143126909, 0.025110698801914362, 0.23408047939479656, 0.09573381777288911, -0.03353181907425628, 0.17062162129892683, -0.1508413412478328, -0.15849508763113546, 0.37360430645699405, 0.03927913918848891, -0.16200535294774454, 0.22493815968294437, -0.11027946044234749, -0.12296962454047079, 0.04021732532062891, 0.20587864563147834, 0.0970809444195914, -0.16825123309303505, -0.011602100342841579, 0.027025066297121193, 0.12054031559259815, 0.06358217769524172, -0.02391228992111829, 0.1858653626024571, 0.1748787373950591, 0.03291632448161515, 0.09654096915104686, -0.11719361252189443, -0.04588229832323395, -0.2667818139085457, -0.1705282504549947, -0.09395025873898852, -0.010275869718974545, -0.04269438479206569, -0.1050226409435684, 0.42815280987146204, 0.21814561237067898, 0.13130401631462432, 0.0320254272237249, 0.3318991105224253, 0.03602669031523979, 0.09645503622061592, 0.02447907852490439, 0.24787042428245198, 0.005783363745934298, 0.13571679568849504, -0.20347936304609235, 0.13006582489192842, -0.016616981634933525] |
710.5937 | Charge Density Wave Driven Ferromagnetism in the Periodic Anderson Model | We demonstrate the existence of ferromagnetism in the Periodic Anderson Model
(PAM) at conduction-band filling near a quarter. We show that this
ferromagnetism is not supported by Ruderman-Kittel-Kasuya-Yosida (RKKY)
interactions but is instead driven by the precursors of charge density wave
(CDW) formation in the conduction electron band. To study the effect of spatial
correlations, we compare Dynamical Mean field Approximation (DMFA) and
Dynamical Cluster Approximation (DCA) results. We find that both RKKY and CDW
driven ferromagnetism persist as short-range correlations are incorporated into
the theory. Both DMFA and DCA show the precursors of CDW formation through the
strong enhancement of the d-electron CDW susceptibility as the temperature
decreases, up to the ferromagnetic transition temperature. In addition, the DCA
captures the signal of a band gap opening due to Peierls instability.
| cond-mat.str-el | we demonstrate the existence of ferromagnetism in the periodic anderson model pam at conductionband filling near a quarter we show that this ferromagnetism is not supported by rudermankittelkasuyayosida rkky interactions but is instead driven by the precursors of charge density wave cdw formation in the conduction electron band to study the effect of spatial correlations we compare dynamical mean field approximation dmfa and dynamical cluster approximation dca results we find that both rkky and cdw driven ferromagnetism persist as shortrange correlations are incorporated into the theory both dmfa and dca show the precursors of cdw formation through the strong enhancement of the delectron cdw susceptibility as the temperature decreases up to the ferromagnetic transition temperature in addition the dca captures the signal of a band gap opening due to peierls instability | [['we', 'demonstrate', 'the', 'existence', 'of', 'ferromagnetism', 'in', 'the', 'periodic', 'anderson', 'model', 'pam', 'at', 'conductionband', 'filling', 'near', 'a', 'quarter', 'we', 'show', 'that', 'this', 'ferromagnetism', 'is', 'not', 'supported', 'by', 'rudermankittelkasuyayosida', 'rkky', 'interactions', 'but', 'is', 'instead', 'driven', 'by', 'the', 'precursors', 'of', 'charge', 'density', 'wave', 'cdw', 'formation', 'in', 'the', 'conduction', 'electron', 'band', 'to', 'study', 'the', 'effect', 'of', 'spatial', 'correlations', 'we', 'compare', 'dynamical', 'mean', 'field', 'approximation', 'dmfa', 'and', 'dynamical', 'cluster', 'approximation', 'dca', 'results', 'we', 'find', 'that', 'both', 'rkky', 'and', 'cdw', 'driven', 'ferromagnetism', 'persist', 'as', 'shortrange', 'correlations', 'are', 'incorporated', 'into', 'the', 'theory', 'both', 'dmfa', 'and', 'dca', 'show', 'the', 'precursors', 'of', 'cdw', 'formation', 'through', 'the', 'strong', 'enhancement', 'of', 'the', 'delectron', 'cdw', 'susceptibility', 'as', 'the', 'temperature', 'decreases', 'up', 'to', 'the', 'ferromagnetic', 'transition', 'temperature', 'in', 'addition', 'the', 'dca', 'captures', 'the', 'signal', 'of', 'a', 'band', 'gap', 'opening', 'due', 'to', 'peierls', 'instability']] | [-0.1982989383928961, 0.18757092822005417, -0.02531524482032085, 0.12008489068785952, -0.001840344907445762, -0.09295552202059625, 0.10840077076608472, 0.3765502568931525, -0.28920395055942183, -0.23660852502007748, -0.014710380552684931, -0.3338021157053477, -0.19030666716738057, 0.09280357967959077, 0.1149493143929325, -0.042179452189162574, -0.05653511508161785, -0.07414290460381116, -0.1344256201467498, -0.2156293943243542, 0.28035630863373173, 0.010161714734978804, 0.2788186755941342, 0.1504578534220452, -0.015801503259034556, 0.038621140114309, 0.1261698835358763, 0.040734532026161674, -0.15290153603480938, -0.005496804302074869, 0.24021479849284158, -0.09935767762451823, 0.25860504876068646, -0.44965160662621145, -0.24840887494470554, -0.006616784321883594, 0.1677701011982583, 0.16566016879785833, -0.07983029111935437, -0.3033771065049556, 0.05258866322745804, -0.18049841479732448, -0.13933472910483602, -0.08379586048793929, -0.04166485683704577, 0.02197686585469726, -0.26500475485204855, 0.20705703771779782, 0.08616244419476103, 0.05376595543086074, -0.13658366323171453, -0.0767477089681357, -0.0857015539188194, 0.0492494466176029, 0.06849175929322925, 0.0992720244925128, 0.16351754321425244, -0.09616577032178583, -0.13317318360200364, 0.3527269536373383, -0.06755999953909031, -0.05022608428191081, 0.1783200541852426, -0.22185548800861335, -0.04047003870773065, 0.19806900037495234, 0.10864351969923226, 0.001963793986142819, -0.1208445398876344, 0.06786783563483237, 0.006294085709169286, 0.19838797118877352, 0.030496984130155495, 0.07231264938564815, 0.2569536209899136, 0.23023832547442832, 0.062084179876357996, 0.13626773275243018, -0.1258740891366557, -0.09457989421296324, -0.20323019196058958, -0.11615094559565756, -0.24676825096190885, 0.013102459730598223, -0.05692899553782843, -0.21538302860443145, 0.4182412322745694, 0.20568135552790784, 0.1570379378999235, -0.023852385058003755, 0.209663569145189, 0.13128987585109098, 0.07198882195387633, 0.04812728548920109, 0.26194045509616953, 0.18324684636944635, 0.09837310030373908, -0.3373082216672656, 0.07215922974220669, 0.05183776913393815] |
710.5938 | SPITZER SAGE Observations of Large Magellanic Cloud Planetary Nebulae | We present IRAC and MIPS images and photometry of a sample of previously
known planetary nebulae (PNe) from the SAGE survey of the Large Magellanic
Cloud (LMC) performed with the Spitzer Space Telescope. Of the 233 known PNe in
the survey field, 185 objects were detected in at least two of the IRAC bands,
and 161 detected in the MIPS 24 micron images. Color-color and color-magnitude
diagrams are presented using several combinations of IRAC, MIPS, and 2MASS
magnitudes. The location of an individual PN in the color-color diagrams is
seen to depend on the relative contributions of the spectral components which
include molecular hydrogen, polycyclic aromatic hydrocarbons (PAHs), infrared
forbidden line emission from the ionized gas, warm dust continuum, and emission
directly from the central star. The sample of LMC PNe is compared to a number
of Galactic PNe and found to not significantly differ in their position in
color-color space. We also explore the potential value of IR PNe luminosity
functions (LFs) in the LMC. IRAC LFs appear to follow the same functional form
as the well-established [O III] LFs although there are several PNe with
observed IR magnitudes brighter than the cut-offs in these LFs.
| astro-ph | we present irac and mips images and photometry of a sample of previously known planetary nebulae pne from the sage survey of the large magellanic cloud lmc performed with the spitzer space telescope of the 233 known pne in the survey field 185 objects were detected in at least two of the irac bands and 161 detected in the mips 24 micron images colorcolor and colormagnitude diagrams are presented using several combinations of irac mips and 2mass magnitudes the location of an individual pn in the colorcolor diagrams is seen to depend on the relative contributions of the spectral components which include molecular hydrogen polycyclic aromatic hydrocarbons pahs infrared forbidden line emission from the ionized gas warm dust continuum and emission directly from the central star the sample of lmc pne is compared to a number of galactic pne and found to not significantly differ in their position in colorcolor space we also explore the potential value of ir pne luminosity functions lfs in the lmc irac lfs appear to follow the same functional form as the wellestablished o iii lfs although there are several pne with observed ir magnitudes brighter than the cutoffs in these lfs | [['we', 'present', 'irac', 'and', 'mips', 'images', 'and', 'photometry', 'of', 'a', 'sample', 'of', 'previously', 'known', 'planetary', 'nebulae', 'pne', 'from', 'the', 'sage', 'survey', 'of', 'the', 'large', 'magellanic', 'cloud', 'lmc', 'performed', 'with', 'the', 'spitzer', 'space', 'telescope', 'of', 'the', '233', 'known', 'pne', 'in', 'the', 'survey', 'field', '185', 'objects', 'were', 'detected', 'in', 'at', 'least', 'two', 'of', 'the', 'irac', 'bands', 'and', '161', 'detected', 'in', 'the', 'mips', '24', 'micron', 'images', 'colorcolor', 'and', 'colormagnitude', 'diagrams', 'are', 'presented', 'using', 'several', 'combinations', 'of', 'irac', 'mips', 'and', '2mass', 'magnitudes', 'the', 'location', 'of', 'an', 'individual', 'pn', 'in', 'the', 'colorcolor', 'diagrams', 'is', 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710.5939 | Geometric Endoscopy and Mirror Symmetry | The geometric Langlands correspondence has been interpreted as the mirror
symmetry of the Hitchin fibrations for two dual reductive groups. This mirror
symmetry, in turn, reduces to T-duality on the generic Hitchin fibers, which
are smooth tori. In this paper we study what happens when the Hitchin fibers on
the B-model side develop orbifold singularities. These singularities correspond
to local systems with finite groups of automorphisms. In the classical
Langlands Program local systems of this type are called endoscopic. They play
an important role in the theory of automorphic representations, in particular,
in the stabilization of the trace formula. Our goal is to use the mirror
symmetry of the Hitchin fibrations to expose the special role played by these
local systems in the geometric theory. The study of the categories of A-branes
on the dual Hitchin fibers allows us to uncover some interesting phenomena
associated with the endoscopy in the geometric Langlands correspondence. We
then follow our predictions back to the classical theory of automorphic
functions. This enables us to test and confirm them. The geometry we use is
similar to that which is exploited in recent work by B.-C. Ngo, a fact which
could be significant for understanding the trace formula.
| math.AG hep-th math.QA math.RT | the geometric langlands correspondence has been interpreted as the mirror symmetry of the hitchin fibrations for two dual reductive groups this mirror symmetry in turn reduces to tduality on the generic hitchin fibers which are smooth tori in this paper we study what happens when the hitchin fibers on the bmodel side develop orbifold singularities these singularities correspond to local systems with finite groups of automorphisms in the classical langlands program local systems of this type are called endoscopic they play an important role in the theory of automorphic representations in particular in the stabilization of the trace formula our goal is to use the mirror symmetry of the hitchin fibrations to expose the special role played by these local systems in the geometric theory the study of the categories of abranes on the dual hitchin fibers allows us to uncover some interesting phenomena associated with the endoscopy in the geometric langlands correspondence we then follow our predictions back to the classical theory of automorphic functions this enables us to test and confirm them the geometry we use is similar to that which is exploited in recent work by bc ngo a fact which could be significant for understanding the trace formula | [['the', 'geometric', 'langlands', 'correspondence', 'has', 'been', 'interpreted', 'as', 'the', 'mirror', 'symmetry', 'of', 'the', 'hitchin', 'fibrations', 'for', 'two', 'dual', 'reductive', 'groups', 'this', 'mirror', 'symmetry', 'in', 'turn', 'reduces', 'to', 'tduality', 'on', 'the', 'generic', 'hitchin', 'fibers', 'which', 'are', 'smooth', 'tori', 'in', 'this', 'paper', 'we', 'study', 'what', 'happens', 'when', 'the', 'hitchin', 'fibers', 'on', 'the', 'bmodel', 'side', 'develop', 'orbifold', 'singularities', 'these', 'singularities', 'correspond', 'to', 'local', 'systems', 'with', 'finite', 'groups', 'of', 'automorphisms', 'in', 'the', 'classical', 'langlands', 'program', 'local', 'systems', 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710.594 | Classification of the virtually cyclic subgroups of the pure braid
groups of the projective plane | We classify the (finite and infinite) virtually cyclic subgroups of the pure
braid groups $P_{n}(RP^2)$ of the projective plane. The maximal finite
subgroups of $P_{n}(RP^2)$ are isomorphic to the quaternion group of order 8 if
$n=3$, and to $\Z_{4}$ if $n\geq 4$. Further, for all $n\geq 3$, up to
isomorphism, the following groups are the infinite virtually cyclic subgroups
of $P_{n}(RP^2)$: $\Z$, $\Z_{2} \times \Z$ and the amalgamated product $\Z_{4}
\ast_{\Z_{2}} \Z_{4}$.
| math.GR math.GT | we classify the finite and infinite virtually cyclic subgroups of the pure braid groups p_nrp2 of the projective plane the maximal finite subgroups of p_nrp2 are isomorphic to the quaternion group of order 8 if n3 and to z_4 if ngeq 4 further for all ngeq 3 up to isomorphism the following groups are the infinite virtually cyclic subgroups of p_nrp2 z z_2 times z and the amalgamated product z_4 ast_z_2 z_4 | [['we', 'classify', 'the', 'finite', 'and', 'infinite', 'virtually', 'cyclic', 'subgroups', 'of', 'the', 'pure', 'braid', 'groups', 'p_nrp2', 'of', 'the', 'projective', 'plane', 'the', 'maximal', 'finite', 'subgroups', 'of', 'p_nrp2', 'are', 'isomorphic', 'to', 'the', 'quaternion', 'group', 'of', 'order', '8', 'if', 'n3', 'and', 'to', 'z_4', 'if', 'ngeq', '4', 'further', 'for', 'all', 'ngeq', '3', 'up', 'to', 'isomorphism', 'the', 'following', 'groups', 'are', 'the', 'infinite', 'virtually', 'cyclic', 'subgroups', 'of', 'p_nrp2', 'z', 'z_2', 'times', 'z', 'and', 'the', 'amalgamated', 'product', 'z_4', 'ast_z_2', 'z_4']] | [-0.21782323744305424, 0.24467382106510266, -0.022916291591147303, 0.028775142909939284, -0.05444968959421549, -0.1606071198910055, 0.027852735482156277, 0.4106256710496587, -0.3389325308888941, -0.22055383341413148, 0.1874796891991626, -0.281952836839351, -0.011839632049832545, 0.12273724784117035, -0.07699713664470424, -0.06607271156365603, -0.049556166750155915, 0.14507568150129116, -0.15009743617978735, -0.3998237866383623, 0.3089189675544769, -0.142026959118289, 0.2184071979193594, -0.03370884093652728, 0.07712470394605114, 0.0017891854283885217, -0.04124158772338234, -0.10916784619518989, -0.16329186956699884, 0.013895034580163553, 0.3136665110253322, 0.029889622896673605, 0.09142587105841966, -0.3381368274288908, -0.11455001056351712, 0.33040181574949495, 0.2019019424325039, -0.01762721076948752, -0.017947757465791116, -0.25810368584705073, 0.18871609829890895, -0.25957086761022957, -0.13996398252185802, 0.008008005805838277, 0.11894788718979124, -0.050406397359681804, -0.18216231257431734, 0.040566156342835495, 0.10513347389937287, 0.15968923961979822, -0.017768354994625275, -0.1070116899487838, -0.11725270775684589, 0.1616112095579295, 0.019592439965672896, -0.004012670617183329, 0.042480678566482286, -0.029763655953476548, -0.1760818091922925, 0.44073750561391806, 0.008377448909811045, -0.18436734645929134, 0.11080402671031549, -0.2137727257139771, -0.23004329977163546, 0.19459453112983577, 0.05063019569268004, 0.10757637852934045, 0.027134309247345993, 0.253817225528494, -0.13500368138644056, 0.10364916910168151, 0.09649724814988359, -0.08516346915087229, 0.019893930706812044, 0.005663105549002198, 0.10359640208951815, 0.10894505038175364, 0.07090619337600722, 0.0754627108534562, -0.3979087148491346, -0.22446281742304564, -0.043043211174630364, 0.18547329955248976, -0.16924092579000913, -0.13406414704554728, 0.41119714868320545, 0.022333775856860087, 0.04925777391091146, 0.10973374996806534, 0.14012645606056484, -0.063065824872801, 0.10528650225310678, 0.07634966411221196, -0.004537179856233193, 0.2713274290444146, -0.23587284691002167, -0.17641033203354184, -0.1407479442275641, 0.1992334930724661] |
710.5941 | Impact of a finite cut-off for the optical sum rule in the
superconducting state | A single band optical sum rule derived by Kubo can reveal a novel kind of
superconducting state. It relies, however, on a knowledge of the single band
contribution from zero to infinite frequency. A number of experiments over the
past five years have used this sum rule; their data has been interpreted in
support of 'kinetic energy-driven superconductivity'. However, because of the
presence of unwanted interband optical spectral weight, they necessarily have
to truncate their sum at a finite frequency. This work examines theoretical
models where the impact of this truncation can be examined first in the normal
state, and then in the superconducting state. The latter case is particularly
important as previous considerations attributed the observed anomalous
temperature dependence as an artifact of a non-infinite cutoff frequency. We
find that this is in fact not the case, and that the sign of the corrections
from the use of a non-infinite cutoff is such that the observed temperature
dependence is even more anomalous when proper account is taken of the cutoff.
On the other hand, in these same models, we find that the strong observed
temperature dependence in the normal state can be attributed to the effect of a
non-infinite cutoff frequency.
| cond-mat.supr-con | a single band optical sum rule derived by kubo can reveal a novel kind of superconducting state it relies however on a knowledge of the single band contribution from zero to infinite frequency a number of experiments over the past five years have used this sum rule their data has been interpreted in support of kinetic energydriven superconductivity however because of the presence of unwanted interband optical spectral weight they necessarily have to truncate their sum at a finite frequency this work examines theoretical models where the impact of this truncation can be examined first in the normal state and then in the superconducting state the latter case is particularly important as previous considerations attributed the observed anomalous temperature dependence as an artifact of a noninfinite cutoff frequency we find that this is in fact not the case and that the sign of the corrections from the use of a noninfinite cutoff is such that the observed temperature dependence is even more anomalous when proper account is taken of the cutoff on the other hand in these same models we find that the strong observed temperature dependence in the normal state can be attributed to the effect of a noninfinite cutoff frequency | [['a', 'single', 'band', 'optical', 'sum', 'rule', 'derived', 'by', 'kubo', 'can', 'reveal', 'a', 'novel', 'kind', 'of', 'superconducting', 'state', 'it', 'relies', 'however', 'on', 'a', 'knowledge', 'of', 'the', 'single', 'band', 'contribution', 'from', 'zero', 'to', 'infinite', 'frequency', 'a', 'number', 'of', 'experiments', 'over', 'the', 'past', 'five', 'years', 'have', 'used', 'this', 'sum', 'rule', 'their', 'data', 'has', 'been', 'interpreted', 'in', 'support', 'of', 'kinetic', 'energydriven', 'superconductivity', 'however', 'because', 'of', 'the', 'presence', 'of', 'unwanted', 'interband', 'optical', 'spectral', 'weight', 'they', 'necessarily', 'have', 'to', 'truncate', 'their', 'sum', 'at', 'a', 'finite', 'frequency', 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'state', 'can', 'be', 'attributed', 'to', 'the', 'effect', 'of', 'a', 'noninfinite', 'cutoff', 'frequency']] | [-0.12098226991959267, 0.1387220357463604, -0.11076457681143564, 0.052683765030037244, -0.0913975020331137, -0.09133256886080646, 0.08510253455323896, 0.3747750131763739, -0.24815247103452018, -0.2858084331077551, 0.09228506359377747, -0.2513529940042645, -0.10701601359864125, 0.18749082620292534, -0.01525054185761895, -0.007463229718701084, 0.007608495190472222, 0.06282052909840119, -0.07156027328582609, -0.20224320594091538, 0.32169340872943475, 0.052711736433908786, 0.30641957258086394, 0.09177190010029002, 0.061261258044828765, -0.02403900830195018, -0.012573775123011801, 0.037801102963898624, -0.07361396870850746, 0.03967356358627134, 0.2487072719895067, 0.026199392272426868, 0.2674158345954032, -0.40522663363043476, -0.25290532980925673, 0.11898780302006272, 0.15589580153769786, 0.11325222874373787, -0.023220563949201613, -0.21162436043354912, 0.03834283890117347, 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710.5942 | Lectures on the stable homotopy of BG | This paper is a survey of the stable homotopy theory of BG for G a finite
group. It is based on a series of lectures given at the Summer School
associated with the Topology Conference at the Vietnam National University,
Hanoi, August 2004.
| math.AT | this paper is a survey of the stable homotopy theory of bg for g a finite group it is based on a series of lectures given at the summer school associated with the topology conference at the vietnam national university hanoi august 2004 | [['this', 'paper', 'is', 'a', 'survey', 'of', 'the', 'stable', 'homotopy', 'theory', 'of', 'bg', 'for', 'g', 'a', 'finite', 'group', 'it', 'is', 'based', 'on', 'a', 'series', 'of', 'lectures', 'given', 'at', 'the', 'summer', 'school', 'associated', 'with', 'the', 'topology', 'conference', 'at', 'the', 'vietnam', 'national', 'university', 'hanoi', 'august', '2004']] | [-0.11502678331724087, 0.16033873070291307, -0.1916766649458644, 0.005097349815958634, -0.12403017663678458, -0.07303504245139139, 0.03480220875204649, 0.24618939132711223, -0.20011161830882693, -0.3502574853252533, 0.1737889239434586, -0.3022658610933049, -0.15744463856830154, 0.18642031280107277, -0.14305052754664144, -0.0739254200354565, 0.11448958230226539, 0.12557400160923946, -0.02066334960765617, -0.3544607129987589, 0.32514565183542843, 0.1737952656654078, 0.3600556546058892, 0.029826168241629075, 0.15050235414487678, -0.012574345880556245, -0.07599931171293868, -0.004162416858382003, -0.12208207464928544, 0.14524375060627367, 0.35443059225068535, 0.07644387118810744, 0.33406757008890775, -0.36547371259955475, -0.08570959206757157, 0.03407838949283888, -0.06013907544141592, -0.019172655461832534, -0.0077901591877128145, -0.31862294448669565, 0.07004460352026251, -0.2237597845581382, -0.13588334221479503, 0.10395020967739266, 0.07491461934825015, 0.012742986480250608, -0.1589873262713555, -0.022373631093001296, -8.780678171058033e-05, 0.2632988779264134, -0.018055715728117976, -0.10776631645641702, -0.04016785156848126, 0.138984996219014, -0.051053566955636405, 0.07188098253086643, 0.032274889304887415, -0.08676520255827454, -0.1363263064345648, 0.40679616026233795, -0.018518247468353705, 0.043104278920001765, 0.15336441266523718, -0.17625608342851318, -0.27125990314972265, 0.08694478131148445, 0.24672545193759507, 0.15209009594197365, -0.0937705853477467, 0.2215494207474728, -0.06613583906098854, 0.12356668712874484, 0.09864734362291042, -0.1460627083515012, 0.21182609278015618, 0.17080323237297668, 0.056977982275447876, 0.06601859165658784, -0.0528376528351611, -0.08663003952350727, -0.3805874590870253, -0.12635066009364848, -0.15400564466971298, 0.029929633360615996, 0.06758927040581786, -0.15365340731778118, 0.4435046159034205, 0.020016358515550923, 0.0851862212957078, 0.021377485505370206, 0.17607638789990612, 0.0777358548596588, -0.04160878713091099, 0.09700302662717741, 0.12026827279911485, 0.15869203326833803, 0.1798546756617725, -0.1271314801875675, -0.024331083640369566, 0.21323068361989286] |
710.5943 | On quantum capacity of erasure channel assisted by back classical
communication | We present a communication protocol for the erasure channel assisted by
backward classical communication, which achieves a significantly better rate
than the best prior result. In addition, we prove an upper bound for the
capacity of the channel. The upper bound is smaller than the capacity of the
erasure channel when it is assisted by two-way classical communication. Thus,
we prove the separation between quantum capacities assisted by backward
classical communication and two-way classical communication.
| quant-ph | we present a communication protocol for the erasure channel assisted by backward classical communication which achieves a significantly better rate than the best prior result in addition we prove an upper bound for the capacity of the channel the upper bound is smaller than the capacity of the erasure channel when it is assisted by twoway classical communication thus we prove the separation between quantum capacities assisted by backward classical communication and twoway classical communication | [['we', 'present', 'a', 'communication', 'protocol', 'for', 'the', 'erasure', 'channel', 'assisted', 'by', 'backward', 'classical', 'communication', 'which', 'achieves', 'a', 'significantly', 'better', 'rate', 'than', 'the', 'best', 'prior', 'result', 'in', 'addition', 'we', 'prove', 'an', 'upper', 'bound', 'for', 'the', 'capacity', 'of', 'the', 'channel', 'the', 'upper', 'bound', 'is', 'smaller', 'than', 'the', 'capacity', 'of', 'the', 'erasure', 'channel', 'when', 'it', 'is', 'assisted', 'by', 'twoway', 'classical', 'communication', 'thus', 'we', 'prove', 'the', 'separation', 'between', 'quantum', 'capacities', 'assisted', 'by', 'backward', 'classical', 'communication', 'and', 'twoway', 'classical', 'communication']] | [-0.2585098033522566, 0.12343252418116511, -0.0694938541824619, 0.06138373389529685, -0.005381154091252635, -0.29646508759508533, 0.2128775044841071, 0.2856932634860277, -0.31213383252422017, -0.281267800865074, 0.08735767888991783, -0.20096153659125168, -0.12384060706322392, 0.2681269757511715, -0.10138811441759268, 0.08746063536653916, 0.071990202817445, 0.09495727863162756, -0.013677549175918102, -0.24527311029533544, 0.2712817691949507, 0.13712783386775604, 0.3362384654209018, 0.061380090868721406, 0.013571795535584292, 0.08806693436577916, -0.000937203566233317, -0.12313500454028448, -0.19406511347740887, 0.12934986424942813, 0.23456290617585182, 0.14763022541378934, 0.2312042626986901, -0.41360676238934196, -0.2971856620519732, 0.11017142772053679, 0.16706396753589312, 0.13315536405115078, -0.032609782709429665, -0.2773486212641001, 0.10140290156006813, -0.19234431030539176, 0.01623965172097087, 0.081542106817166, -0.048341613734761875, -0.005599212585948408, -0.32574606200059253, 0.10187887977808714, 0.13703731015324594, 0.058242244701056434, 0.010450370088219642, -0.08253812209392587, 0.05999833251039187, 0.13265431941370479, -0.08217965984717011, 0.016555208407031993, 0.059811972305178644, -0.15071782665948072, -0.17286581717431546, 0.278479118924588, -0.09159546879624637, -0.20509360412446162, 0.16046314552038288, -0.0964517774619162, -0.003607212876280149, 0.13378027769426504, 0.16385380116601786, 0.08936745533719659, -0.16249856325273868, 0.04900683417217806, -0.033661214907964074, 0.18220830063025156, 0.091041618026793, 0.17038501804073652, 0.05784030832350254, 0.16617214396906396, 0.17797547794878482, 0.22323905378580094, -0.10525862033168475, -0.23114002858288585, -0.23568169588843982, -0.2310147979312266, -0.223156875371933, 0.03955398291349411, -0.11370081902151773, 0.012016523703932762, 0.2290179410452644, 0.11591159163353344, 0.09897962006429831, 0.18947639249420414, 0.4233469797174136, 0.12493854478001594, 0.06242714310685794, 0.2334412576382359, 0.2759755669037501, 0.15360934177724023, 0.08332711535894001, -0.21007739341507356, 0.14179057565828165, 0.04391753712048133] |
710.5944 | Some new characterizations of Banach spaces containing $\ell^1$ | Several new characterizations of Banach spaces containing a subspace
isomorphic to $\ell^1$, are obtained. These are applied to the question of when
$\ell^1$ embeds in the injective tensor product of two Banach spaces.
| math.FA | several new characterizations of banach spaces containing a subspace isomorphic to ell1 are obtained these are applied to the question of when ell1 embeds in the injective tensor product of two banach spaces | [['several', 'new', 'characterizations', 'of', 'banach', 'spaces', 'containing', 'a', 'subspace', 'isomorphic', 'to', 'ell1', 'are', 'obtained', 'these', 'are', 'applied', 'to', 'the', 'question', 'of', 'when', 'ell1', 'embeds', 'in', 'the', 'injective', 'tensor', 'product', 'of', 'two', 'banach', 'spaces']] | [-0.130071872001281, 0.1463087136208108, 0.003886564860515522, 0.1469436783967963, -0.09882139149968597, -0.12111627300636786, -0.13375194303014062, 0.46657735312526877, -0.41767182974427036, -0.09834240551925066, 0.17424201023779018, -0.29470003953478724, -0.09013444004636822, 0.20003249987282537, -0.16610137946113493, -0.00489045081265045, 0.08183669205754995, 0.12161588815577103, -0.16359015525967785, -0.3422874728161277, 0.46154564833550743, -0.13161408468008493, 0.16169787514390369, -0.034940775568512356, 0.10140777226876128, -0.0011730304157192056, -0.06588550535679767, 0.06058388575911522, -0.15532203399660913, 0.1820223450547818, 0.3738340078429742, 0.14580489841826033, 0.33884490146231133, -0.35690959362369595, -0.11124896218605114, 0.23250688420552196, 0.11802949093169335, -0.09009404782431596, -0.0022529229295976234, -0.2847550493298155, 0.0642362419007854, -0.13196115262778194, 0.021866037425669758, -0.2039428905894359, 0.004392351390737475, -0.04256243086561109, -0.3483868380726287, -0.016485646338851162, 0.13813146638373533, 0.05462239795561993, -0.1982005708145373, -0.1683633052602862, -0.09377603897486221, 0.06344072605133988, -0.02011362389858925, 0.09390684087393862, 0.0404957090081139, 0.026199409455964058, -0.14402883336173766, 0.3507038244243824, -0.042932635892859915, -0.279728543916435, 0.15095292463559995, -0.158386945809153, -0.17503380275924096, 0.09420633849433878, 0.109010121587551, 0.13689813394607467, -0.023393490572661078, 0.17989785754770943, -0.14258042171202373, 0.05461551937641519, 0.09897615901674285, 0.15735333565283904, 0.04893818658522584, 0.0971077931974309, 0.13304985111409967, 0.1989364123931437, 0.04899272029147004, -0.02938675777069434, -0.3097322242842479, -0.13445545580576768, -0.1723765999248082, 0.08854906531897458, -0.11525376637776692, -0.19157718550978284, 0.365852423463807, 0.025693022166237686, 0.16694260690763424, 0.06042786168329643, 0.2135286144347805, -0.018172582159891273, 0.033713113629456726, 0.03622350395854675, 0.1989449206175226, 0.26375107867925457, -0.05583508403012247, -0.03517541889044823, -0.10341688781750924, 0.2914619511698909] |
710.5945 | Objective and Subjective Probabilities in Quantum Mechanics | The concept of probability was prominent in the original foundations of
quantum mechanics, and continues to be so today. Indeed, the controversies
regarding objective and subjective interpretations of probability have again
become active. I argue that, although both objective and subjective
probabilities have domains of relevance in QM, their roles are quite distinct.
Even where both are legitimate, the objective and subjective probabilities
differ, both conceptually and numerically. There are quantum probabilities that
have no useful subjective interpretations, and there are subjective
probabilities that cannot be realized as quantum probabilities.
| quant-ph | the concept of probability was prominent in the original foundations of quantum mechanics and continues to be so today indeed the controversies regarding objective and subjective interpretations of probability have again become active i argue that although both objective and subjective probabilities have domains of relevance in qm their roles are quite distinct even where both are legitimate the objective and subjective probabilities differ both conceptually and numerically there are quantum probabilities that have no useful subjective interpretations and there are subjective probabilities that cannot be realized as quantum probabilities | [['the', 'concept', 'of', 'probability', 'was', 'prominent', 'in', 'the', 'original', 'foundations', 'of', 'quantum', 'mechanics', 'and', 'continues', 'to', 'be', 'so', 'today', 'indeed', 'the', 'controversies', 'regarding', 'objective', 'and', 'subjective', 'interpretations', 'of', 'probability', 'have', 'again', 'become', 'active', 'i', 'argue', 'that', 'although', 'both', 'objective', 'and', 'subjective', 'probabilities', 'have', 'domains', 'of', 'relevance', 'in', 'qm', 'their', 'roles', 'are', 'quite', 'distinct', 'even', 'where', 'both', 'are', 'legitimate', 'the', 'objective', 'and', 'subjective', 'probabilities', 'differ', 'both', 'conceptually', 'and', 'numerically', 'there', 'are', 'quantum', 'probabilities', 'that', 'have', 'no', 'useful', 'subjective', 'interpretations', 'and', 'there', 'are', 'subjective', 'probabilities', 'that', 'can', 'not', 'be', 'realized', 'as', 'quantum', 'probabilities']] | [-0.05732956164322057, 0.15106379736092065, -0.12144534101525506, 0.1477243354196077, -0.06239528094730493, -0.20109635222048222, 0.05819720708877667, 0.43706450834460964, -0.1876088836342915, -0.2759093799740895, 0.06793834456078872, -0.28274674858938864, -0.2071707263322813, 0.16316537452595575, -0.13677713774390274, 0.08571991554696809, 0.030459714600570745, 0.07925174297294119, -0.022549043946827833, -0.2609326714793077, 0.2981376224753938, 0.03841376758390362, 0.2922984650460901, 0.073615244947947, 0.026632924237963998, -0.030822710676507634, -0.025211604731669137, 0.07759822339106065, -0.07064212850353535, 0.06939005899846881, 0.36719045666773076, 0.2503201768907544, 0.348040910499109, -0.45272354716128044, -0.17967924954635756, 0.1178365699936646, 0.12623700104490088, 0.07020087556524592, -0.025046360203075213, -0.32129406216707856, 0.05788497694327936, -0.14367834675115543, -0.00874803427115574, -0.10476473809071499, 0.045229824822764476, 0.004334114717094452, -0.18806418605087385, 0.08951895054945323, 0.0612757092099995, 0.05244113235724169, -0.016627333932914413, -0.16825437281731065, 0.012042668816930318, 0.18903535592195753, 0.09896628446569973, -0.00794825795014481, 0.12498091382823967, -0.1621197600654521, -0.18456078033925002, 0.38871754720233953, 0.0809213902269091, -0.23790422101904238, 0.21391533556967401, -0.1317556576527, -0.11911718156393412, 0.10866939141363888, 0.06532949431297871, 0.08470582937473779, -0.1201180899515748, 0.05238740583293263, -0.005164802013026489, 0.1558639950702315, 0.07991746817152579, 0.13180190384014417, 0.2794662069856793, 0.04828218894097237, -0.02446113911887201, 0.03337705397599756, -0.00524802366271615, -0.2141715533171709, -0.2968262606658615, -0.18138454155484726, -0.20533031086529513, 0.029998126102177742, -0.020598599641484076, -0.14374246417063768, 0.3089115177127686, 0.1939497726229352, 0.1982377260247921, 0.05927413950193223, 0.2662494323001458, 0.13124450364093818, -0.01436070010007185, 0.016324630301384317, 0.295146527075833, 0.06362944532308605, 0.05640655134773844, -0.13239051268057345, 0.2121038219256961, -0.025700062538937224] |
711.0001 | The Varied Fates of z~2 Star-forming Galaxies | Star-forming galaxies constitute the majority of galaxies with stellar masses
>10^10 M_Sun/h^2 at z~2 and dominate the star-formation rate density of the
Universe at this early epoch. It is thus critical to understand their origins,
evolution, and connection to the underlying dark matter distribution. To this
end, we identify the dark matter halos (including subhalos) that are likely to
contain star-forming galaxies at z~2 (z2SFGs) within a large dissipationless
cosmological simulation and then use halo merger histories to follow the
evolution of z2SFG descendants to z~1 and z~0. The evolved halos at these
epochs are then confronted with an array of observational data in order to
uncover the likely descendants of z2SFGs. Though the evolved halos have
clustering strengths comparable to red galaxies at z~1 and z~0, we find that
the bulk of z2SFGs do not evolve into red galaxies, at either epoch. This
conclusion is based primarily on the fact that the space density of z2SFGs is
much higher than that of lower redshift red galaxies, even when accounting for
the merging of z2SFG descendants, which decreases the number density of z2SFG
descendants by at most a factor of two by z~0. Of the ~50% of z2SFGs that
survive to z~0, ~70% reside at the center of z~0 dark matter halos with M>10^12
M_Sun/h. Halo occupation modeling of z~0 galaxies suggests that such halos are
occupied by galaxies with M_r<-20.5, implying that these z2SFGs evolve into
``typical'' ~ L* galaxies today, including our own Galaxy. The remaining ~30%
become satellite galaxies by z~0, and comparison to halo occupation modeling
suggests that they are rather faint, with M_r<-19.5. (ABRIDGED)
| astro-ph | starforming galaxies constitute the majority of galaxies with stellar masses 1010 m_sunh2 at z2 and dominate the starformation rate density of the universe at this early epoch it is thus critical to understand their origins evolution and connection to the underlying dark matter distribution to this end we identify the dark matter halos including subhalos that are likely to contain starforming galaxies at z2 z2sfgs within a large dissipationless cosmological simulation and then use halo merger histories to follow the evolution of z2sfg descendants to z1 and z0 the evolved halos at these epochs are then confronted with an array of observational data in order to uncover the likely descendants of z2sfgs though the evolved halos have clustering strengths comparable to red galaxies at z1 and z0 we find that the bulk of z2sfgs do not evolve into red galaxies at either epoch this conclusion is based primarily on the fact that the space density of z2sfgs is much higher than that of lower redshift red galaxies even when accounting for the merging of z2sfg descendants which decreases the number density of z2sfg descendants by at most a factor of two by z0 of the 50 of z2sfgs that survive to z0 70 reside at the center of z0 dark matter halos with m1012 m_sunh halo occupation modeling of z0 galaxies suggests that such halos are occupied by galaxies with m_r205 implying that these z2sfgs evolve into typical l galaxies today including our own galaxy the remaining 30 become satellite galaxies by z0 and comparison to halo occupation modeling suggests that they are rather faint with m_r195 abridged | [['starforming', 'galaxies', 'constitute', 'the', 'majority', 'of', 'galaxies', 'with', 'stellar', 'masses', '1010', 'm_sunh2', 'at', 'z2', 'and', 'dominate', 'the', 'starformation', 'rate', 'density', 'of', 'the', 'universe', 'at', 'this', 'early', 'epoch', 'it', 'is', 'thus', 'critical', 'to', 'understand', 'their', 'origins', 'evolution', 'and', 'connection', 'to', 'the', 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711.0002 | XMM-Newton Detection of a Compton-thick AGN in the 1-Jy ULIRG/LINER
F04103-2838 | We report on the detection of Fe Kalpha emission in F04103$-$2838, an
ultraluminous infrared galaxy (ULIRG; log[L$_{\rm IR}$/L$_\odot$] $\ge$ 12)
that is optically classified as a LINER. Previous {\it Chandra} observations
suggested the presence of both a starburst and an AGN in this source. A deeper
($\sim$20 ksec) {\it XMM-Newton} spectrum reveals an Fe Kalpha line at rest
frame energy $\sim$6.4 keV, consistent with cold neutral iron. The best-fit
spectral model indicates the Fe Kalpha line has an equivalent width of
$\sim$1.6 keV. The hard X-ray emission is dominated by a Compton-thick AGN with
intrinsic 0.2--10 keV luminosity $\sim10^{44}$ ergs s$^{-1}$, while the soft
X-ray emission is from $\sim$0.1 keV gas attributed to the starburst. The X-ray
spectrum of this source bears a striking resemblance to that of the archetypal
luminous infrared galaxy NGC 6240 despite differences in merger state and
infrared properties.
| astro-ph | we report on the detection of fe kalpha emission in f041032838 an ultraluminous infrared galaxy ulirg logl_rm irl_odot ge 12 that is optically classified as a liner previous it chandra observations suggested the presence of both a starburst and an agn in this source a deeper sim20 ksec it xmmnewton spectrum reveals an fe kalpha line at rest frame energy sim64 kev consistent with cold neutral iron the bestfit spectral model indicates the fe kalpha line has an equivalent width of sim16 kev the hard xray emission is dominated by a comptonthick agn with intrinsic 0210 kev luminosity sim1044 ergs s1 while the soft xray emission is from sim01 kev gas attributed to the starburst the xray spectrum of this source bears a striking resemblance to that of the archetypal luminous infrared galaxy ngc 6240 despite differences in merger state and infrared properties | [['we', 'report', 'on', 'the', 'detection', 'of', 'fe', 'kalpha', 'emission', 'in', 'f041032838', 'an', 'ultraluminous', 'infrared', 'galaxy', 'ulirg', 'logl_rm', 'irl_odot', 'ge', '12', 'that', 'is', 'optically', 'classified', 'as', 'a', 'liner', 'previous', 'it', 'chandra', 'observations', 'suggested', 'the', 'presence', 'of', 'both', 'a', 'starburst', 'and', 'an', 'agn', 'in', 'this', 'source', 'a', 'deeper', 'sim20', 'ksec', 'it', 'xmmnewton', 'spectrum', 'reveals', 'an', 'fe', 'kalpha', 'line', 'at', 'rest', 'frame', 'energy', 'sim64', 'kev', 'consistent', 'with', 'cold', 'neutral', 'iron', 'the', 'bestfit', 'spectral', 'model', 'indicates', 'the', 'fe', 'kalpha', 'line', 'has', 'an', 'equivalent', 'width', 'of', 'sim16', 'kev', 'the', 'hard', 'xray', 'emission', 'is', 'dominated', 'by', 'a', 'comptonthick', 'agn', 'with', 'intrinsic', '0210', 'kev', 'luminosity', 'sim1044', 'ergs', 's1', 'while', 'the', 'soft', 'xray', 'emission', 'is', 'from', 'sim01', 'kev', 'gas', 'attributed', 'to', 'the', 'starburst', 'the', 'xray', 'spectrum', 'of', 'this', 'source', 'bears', 'a', 'striking', 'resemblance', 'to', 'that', 'of', 'the', 'archetypal', 'luminous', 'infrared', 'galaxy', 'ngc', '6240', 'despite', 'differences', 'in', 'merger', 'state', 'and', 'infrared', 'properties']] | [0.008784912034301874, 0.028970451740643114, -0.020400328943292727, 0.1392451286107682, -0.07695125995046447, -0.10627542658787693, 0.018684303515892422, 0.5713778160197635, -0.08813728583307648, -0.3220122585722416, 0.001883358749541336, -0.413992970552243, 0.10010568743479818, 0.1569209802183509, 0.006558765424415469, -0.08516567616566072, -0.02401347872866711, -0.1649612177156804, -0.03528204425664382, -0.20382295102110579, 0.24043709176107192, 0.13321587261022397, 0.16728770999487122, 0.013230695651555565, 0.060908538257189976, -0.09897336662701056, -0.04234957988833038, -0.06660719949122466, -0.08396927620217444, 0.023334471092388873, 0.28848728716609556, 0.07266648737456474, 0.20311288286121826, -0.26269129873581337, -0.2248502918965885, 0.04413190133489248, 0.21363258313282696, -0.09545924539290841, -0.03513793040371933, -0.2807835398527177, -0.007796596010989496, -0.21714621440025414, -0.18662723131858233, 0.1639895884739891, 0.039962336952260265, -0.027684229410099338, -0.14695246164805034, 0.1832606762411519, 0.022530156982124745, 0.09338480329819837, -0.20091650299531158, -0.04323363009000748, -0.038171888706208745, -0.05762304828139875, 0.057438872320065934, 0.09213057005266384, 0.22199526279558046, -0.1169521260849187, -0.06730867781541901, 0.3881486242728859, -0.061407121172187926, 0.19661107862328875, 0.21002976234648113, -0.17003519463182334, -0.22774110907937964, 0.32735733211394663, 0.015213711082305707, 0.08688459230232722, -0.11519638180050631, 0.030144216227968236, -0.09475461513125404, 0.3997364650467332, -0.026017143610786175, 0.10276640067881294, 0.3383054182353154, 0.07873902623590842, 0.010860045693821313, 0.15780471441056004, -0.2978834006066342, 0.06054802964979284, -0.24415637922971706, -0.05075513632454857, -0.12725616429447079, 0.20542169011666925, -0.14418100395783434, -0.1472970681678189, 0.31941457187533906, 0.049589649980730365, 0.2605311967265254, -0.03316792011470862, 0.3149010745749455, 0.12063521621945564, 0.04263890949471421, 0.1453296794510171, 0.361761394763549, 0.19094307243030414, 0.10982389598806114, -0.29467452762641905, 0.03600751340772931, 0.0018058111891150475] |
711.0003 | Boltzmann transport and residual conductivity in bilayer graphene | A Drude-Boltzmann theory is used to calculate the transport properties of
bilayer graphene. We find that for typical carrier densities accessible in
graphene experiments, the dominant scattering mechanism is overscreened Coulomb
impurities that behave like short-range scatterers. We anticipate that the
conductivity $\sigma(n)$ is linear in $n$ at high density and has a plateau at
low density corresponding to a residual density of $n^* = \sqrt{n_{\rm imp}
{\tilde n}}$, where ${\tilde n}$ is a constant which we estimate using a
self-consistent Thomas-Fermi screening approximation to be ${\tilde n} \approx
0.01 ~q_{\rm TF}^2 \approx 140 \times 10^{10} {\rm cm}^{-2}$. Analytic results
are derived for the conductivity as a function of the charged impurity density.
We also comment on the temperature dependence of the bilayer conductivity.
| cond-mat.mes-hall | a drudeboltzmann theory is used to calculate the transport properties of bilayer graphene we find that for typical carrier densities accessible in graphene experiments the dominant scattering mechanism is overscreened coulomb impurities that behave like shortrange scatterers we anticipate that the conductivity sigman is linear in n at high density and has a plateau at low density corresponding to a residual density of n sqrtn_rm imp tilde n where tilde n is a constant which we estimate using a selfconsistent thomasfermi screening approximation to be tilde n approx 001 q_rm tf2 approx 140 times 1010 rm cm2 analytic results are derived for the conductivity as a function of the charged impurity density we also comment on the temperature dependence of the bilayer conductivity | [['a', 'drudeboltzmann', 'theory', 'is', 'used', 'to', 'calculate', 'the', 'transport', 'properties', 'of', 'bilayer', 'graphene', 'we', 'find', 'that', 'for', 'typical', 'carrier', 'densities', 'accessible', 'in', 'graphene', 'experiments', 'the', 'dominant', 'scattering', 'mechanism', 'is', 'overscreened', 'coulomb', 'impurities', 'that', 'behave', 'like', 'shortrange', 'scatterers', 'we', 'anticipate', 'that', 'the', 'conductivity', 'sigman', 'is', 'linear', 'in', 'n', 'at', 'high', 'density', 'and', 'has', 'a', 'plateau', 'at', 'low', 'density', 'corresponding', 'to', 'a', 'residual', 'density', 'of', 'n', 'sqrtn_rm', 'imp', 'tilde', 'n', 'where', 'tilde', 'n', 'is', 'a', 'constant', 'which', 'we', 'estimate', 'using', 'a', 'selfconsistent', 'thomasfermi', 'screening', 'approximation', 'to', 'be', 'tilde', 'n', 'approx', '001', 'q_rm', 'tf2', 'approx', '140', 'times', '1010', 'rm', 'cm2', 'analytic', 'results', 'are', 'derived', 'for', 'the', 'conductivity', 'as', 'a', 'function', 'of', 'the', 'charged', 'impurity', 'density', 'we', 'also', 'comment', 'on', 'the', 'temperature', 'dependence', 'of', 'the', 'bilayer', 'conductivity']] | [-0.14800223625898667, 0.21746505435735566, -0.05465684396397994, 0.05234890718959638, 0.03213434579083696, -0.15888689227829703, 0.04093910476906591, 0.3524919413182823, -0.20818672133762328, -0.27664416008552567, -0.000723459385717135, -0.35705140507856353, -0.09315977243326803, 0.1406340546921262, 0.0695235477512336, -0.003980084410181544, -0.07043875246232406, -0.005140492952138674, -0.12191856235120689, -0.21224959687039743, 0.2040620448075418, 0.03805562323169233, 0.27695024715828115, 0.13735704170539975, 0.04181279038216491, 0.01585033364578715, 0.10488223449372855, 0.021158084780985457, -0.1898852706853788, 0.014378012035835962, 0.24804083603915195, -0.06962435678617082, 0.1797244756131387, -0.42162535611356866, -0.1712798714393475, 0.041096875333364626, 0.15811486759907223, 0.09336905208794156, -0.05288750200520926, -0.18367991875093737, 0.10492265154225905, -0.15656375913254794, -0.14852684933299076, -0.03595142736343942, 0.08851062179329332, -0.006956462891482306, -0.32582592416066125, 0.1520962225267049, -0.022777393540428556, -0.007205827390683479, -0.0652437692195116, -0.1817028322715129, -0.04046627831431564, 0.019026245776808164, 0.027759820764853817, 0.0955346170564747, 0.22732222751240994, -0.12307748766081622, -0.005039391355955454, 0.36365105946105525, -0.15085296734946124, -0.1362702617208, 0.13969133452123, -0.16633518815391743, -0.1034458311079986, 0.14893605532964355, 0.1406240802960562, 0.1402775658634262, -0.10677008891142294, 0.15336044447388705, -0.07295501746855615, 0.18063121192829043, 0.06396180940372106, 0.05483036903572864, 0.18061315002622175, 0.16823290021265627, 0.05815620383736296, 0.07106741165196462, -0.1459593904666511, 0.0011405050449195455, -0.281668912046818, -0.1545258715565576, -0.23190237805018293, 0.13658950877085815, -0.1271064531030162, -0.16713741214060393, 0.3183760702427282, 0.15309347010019128, 0.25644056093077494, 0.055350974764193976, 0.24313690688949627, 0.1887577892592192, 0.04865071767002161, 0.07998350843764292, 0.1911226787115829, 0.16406724360947053, 0.05302612400674796, -0.26584200916781286, 0.009001999776657731, 0.03807315442398129] |
711.0004 | A "Domain Wall" Scenario for the AdS/QCD | We propose a scenario for bottom-up gravity dual picture of QCD-like
theories, which consists of two near-AdS$_5$ domains separated by the ``domain
wall'' at which the effective coupling relatively rapidly switches from small
perturbative value at its UV side to strong at its IR side. Its consequence are
corresponding jumps in 5-d masses of the bulk fields, related to different
anomalous dimensions of the corresponding operators. Inclusion of both weakly
and strongly coupled parts of bulk wave functions allows for consistent
inclusion of QCD hard processes.
We further discuss how transitions from strong to weak coupling in hard
observables should look like, exemplified by pion diffractive dissociation,
which seems to show this transition experimentally. Then we propose a dynamical
mechanism for this jump related to instantons, which are point-like bulk
objects located at/near the domain wall. We further argue that in the limit of
large number of colors $N_c\to\infty$ the "domain wall" is becoming a true
singularity. Instanton-induced contributions to correlators and partition
function of the instanton ensemble is reformulated in the $AdS_5$ language.
Among other applications are lowest mesons as collective vibrations of the
``domain wall''.
| hep-ph hep-th nucl-th | we propose a scenario for bottomup gravity dual picture of qcdlike theories which consists of two nearads_5 domains separated by the domain wall at which the effective coupling relatively rapidly switches from small perturbative value at its uv side to strong at its ir side its consequence are corresponding jumps in 5d masses of the bulk fields related to different anomalous dimensions of the corresponding operators inclusion of both weakly and strongly coupled parts of bulk wave functions allows for consistent inclusion of qcd hard processes we further discuss how transitions from strong to weak coupling in hard observables should look like exemplified by pion diffractive dissociation which seems to show this transition experimentally then we propose a dynamical mechanism for this jump related to instantons which are pointlike bulk objects located atnear the domain wall we further argue that in the limit of large number of colors n_ctoinfty the domain wall is becoming a true singularity instantoninduced contributions to correlators and partition function of the instanton ensemble is reformulated in the ads_5 language among other applications are lowest mesons as collective vibrations of the domain wall | [['we', 'propose', 'a', 'scenario', 'for', 'bottomup', 'gravity', 'dual', 'picture', 'of', 'qcdlike', 'theories', 'which', 'consists', 'of', 'two', 'nearads_5', 'domains', 'separated', 'by', 'the', 'domain', 'wall', 'at', 'which', 'the', 'effective', 'coupling', 'relatively', 'rapidly', 'switches', 'from', 'small', 'perturbative', 'value', 'at', 'its', 'uv', 'side', 'to', 'strong', 'at', 'its', 'ir', 'side', 'its', 'consequence', 'are', 'corresponding', 'jumps', 'in', '5d', 'masses', 'of', 'the', 'bulk', 'fields', 'related', 'to', 'different', 'anomalous', 'dimensions', 'of', 'the', 'corresponding', 'operators', 'inclusion', 'of', 'both', 'weakly', 'and', 'strongly', 'coupled', 'parts', 'of', 'bulk', 'wave', 'functions', 'allows', 'for', 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711.0005 | The Far Ultraviolet Spectroscopic Explorer Survey of OVI Absorption in
the Disk of the Milky Way | To probe the distribution and physical characteristics of interstellar gas at
temperatures T ~ 3e5 K in the disk of the Milky Way, we have used the Far
Ultraviolet Spectroscopic Explorer (FUSE) to observe absorption lines of OVI
toward 148 early-type stars situated at distances 1 kpc. After subtracting off
a mild excess of OVI arising from the Local Bubble, combining our new results
with earlier surveys of OVI, and eliminating stars that show conspicuous
localized X-ray emission, we find an average OVI mid-plane density n_0 = 1.3e-8
cm^-3. The density decreases away from the plane of the Galaxy in a way that is
consistent with an exponential scale height of 3.2 kpc at negative latitudes or
4.6 kpc at positive latitudes. Average volume densities of OVI along different
sight lines exhibit a dispersion of about 0.26 dex, irrespective of the
distances to the target stars. This indicates that OVI does not arise in
randomly situated clouds of a fixed size and density, but instead is
distributed in regions that have a very broad range of column densities, with
the more strongly absorbing clouds having a lower space density. Line widths
and centroid velocities are much larger than those expected from differential
Galactic rotation, but they are nevertheless correlated with distance and
N(OVI), which reinforces our picture of a diverse population of hot plasma
regions that are ubiquitous over the entire Galactic disk. The velocity
extremes of the OVI profiles show a loose correlation with those of very strong
lines of less ionized species, supporting a picture of a turbulent, multiphase
medium churned by shock-heated gas from multiple supernova explosions.
| astro-ph | to probe the distribution and physical characteristics of interstellar gas at temperatures t 3e5 k in the disk of the milky way we have used the far ultraviolet spectroscopic explorer fuse to observe absorption lines of ovi toward 148 earlytype stars situated at distances 1 kpc after subtracting off a mild excess of ovi arising from the local bubble combining our new results with earlier surveys of ovi and eliminating stars that show conspicuous localized xray emission we find an average ovi midplane density n_0 13e8 cm3 the density decreases away from the plane of the galaxy in a way that is consistent with an exponential scale height of 32 kpc at negative latitudes or 46 kpc at positive latitudes average volume densities of ovi along different sight lines exhibit a dispersion of about 026 dex irrespective of the distances to the target stars this indicates that ovi does not arise in randomly situated clouds of a fixed size and density but instead is distributed in regions that have a very broad range of column densities with the more strongly absorbing clouds having a lower space density line widths and centroid velocities are much larger than those expected from differential galactic rotation but they are nevertheless correlated with distance and novi which reinforces our picture of a diverse population of hot plasma regions that are ubiquitous over the entire galactic disk the velocity extremes of the ovi profiles show a loose correlation with those of very strong lines of less ionized species supporting a picture of a turbulent multiphase medium churned by shockheated gas from multiple supernova explosions | [['to', 'probe', 'the', 'distribution', 'and', 'physical', 'characteristics', 'of', 'interstellar', 'gas', 'at', 'temperatures', 't', '3e5', 'k', 'in', 'the', 'disk', 'of', 'the', 'milky', 'way', 'we', 'have', 'used', 'the', 'far', 'ultraviolet', 'spectroscopic', 'explorer', 'fuse', 'to', 'observe', 'absorption', 'lines', 'of', 'ovi', 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711.0006 | Schrodinger Picture of Quantum Gravitational Collapse | The functional Schrodinger equation is used to study the quantum collapse of
a gravitating, spherical domain wall and a massless scalar field coupled to the
metric. The approach includes backreaction of pre-Hawking radiation on the
gravitational collapse. Truncating the degrees of freedom to a minisuperspace
leads to an integro-differential Schrodinger equation. We define a "black hole"
operator and find its eigenstates. The black hole operator does not commute
with the Hamiltonian, leading to an energy-black holeness uncertainty relation.
We discuss energy eigenstates and also obtain a partial differential equation
for the time-dependent gravitational collapse problem.
| gr-qc astro-ph hep-th | the functional schrodinger equation is used to study the quantum collapse of a gravitating spherical domain wall and a massless scalar field coupled to the metric the approach includes backreaction of prehawking radiation on the gravitational collapse truncating the degrees of freedom to a minisuperspace leads to an integrodifferential schrodinger equation we define a black hole operator and find its eigenstates the black hole operator does not commute with the hamiltonian leading to an energyblack holeness uncertainty relation we discuss energy eigenstates and also obtain a partial differential equation for the timedependent gravitational collapse problem | [['the', 'functional', 'schrodinger', 'equation', 'is', 'used', 'to', 'study', 'the', 'quantum', 'collapse', 'of', 'a', 'gravitating', 'spherical', 'domain', 'wall', 'and', 'a', 'massless', 'scalar', 'field', 'coupled', 'to', 'the', 'metric', 'the', 'approach', 'includes', 'backreaction', 'of', 'prehawking', 'radiation', 'on', 'the', 'gravitational', 'collapse', 'truncating', 'the', 'degrees', 'of', 'freedom', 'to', 'a', 'minisuperspace', 'leads', 'to', 'an', 'integrodifferential', 'schrodinger', 'equation', 'we', 'define', 'a', 'black', 'hole', 'operator', 'and', 'find', 'its', 'eigenstates', 'the', 'black', 'hole', 'operator', 'does', 'not', 'commute', 'with', 'the', 'hamiltonian', 'leading', 'to', 'an', 'energyblack', 'holeness', 'uncertainty', 'relation', 'we', 'discuss', 'energy', 'eigenstates', 'and', 'also', 'obtain', 'a', 'partial', 'differential', 'equation', 'for', 'the', 'timedependent', 'gravitational', 'collapse', 'problem']] | [-0.17157943462652545, 0.09208473086548638, -0.09437307962266508, 0.12356412805421578, -0.15219361266942436, -0.0960114616199687, -0.042613921149994335, 0.2603493459142184, -0.21740276041010054, -0.24357029247868767, 0.027409959153863052, -0.33432432306524845, -0.10966798957557447, 0.11472521165526041, -0.00946172591741948, 0.06520103652127868, 0.06174990169263335, 0.06867426022716988, -0.12521023327054115, -0.16534003864733443, 0.4125892379150916, 0.0382479838463628, 0.18997167787134087, 0.03748842504536433, 0.15599326027296884, 0.007031554694197351, 0.028513524939195924, -0.008150423646614115, -0.16517490834017756, 0.04200816455782862, 0.16124213448855826, 0.09544878153090355, 0.2626668834377841, -0.460142950347114, -0.2370321485063722, 0.09185631139083736, 0.15187119591420375, 0.20301961264402796, -0.03504364948309157, -0.32705111064577613, -0.020398479565897937, -0.2312160480206692, -0.21547387606434285, -0.04613779945379143, 0.03340113948735218, -0.0413952886242099, -0.26828647687810886, 0.1584748195566272, 0.0346845334836392, -0.08902088426283851, -0.1350111743167383, 0.005461095827281154, -0.05205194992564058, 0.03202838785645942, 0.05034481109901061, 0.042193004333223864, 0.15451536057717216, -0.11449761847434665, -0.08717193889747103, 0.41119085676887984, -0.07961469843873493, -0.3004728589727673, 0.10022206695610157, -0.17732762433187935, -0.06057755430279079, 0.10176121767720468, 0.151415568065419, 0.16722939549932778, -0.18472652954439964, 0.15985811880091205, 0.0328474513265074, 0.17588276928415902, 0.06818037539199796, 0.03198706542932859, 0.25551879363915614, 0.08352149179786124, 0.07953747593727643, 0.1583751977811898, 0.0060870458937740774, -0.15598179184661437, -0.3441012313449255, -0.1526906075937453, -0.15710761083630465, 0.15186641145242824, -0.13893169359794083, -0.2451699350469856, 0.36915109177390415, 0.12390479334174426, 0.12201059204075605, 0.02738793449781795, 0.21667021409588394, 0.22415437305256003, 0.029818049822283046, 0.08075043083398893, 0.2648927888592645, 0.22057017291425376, 0.1310902433620105, -0.325800145190129, -0.1239703982337428, 0.12341070761002841] |
711.0007 | Fundamental Physical Processes in Coronae: Waves, Turbulence,
Reconnection, and Particle Acceleration | Our understanding of fundamental processes in the solar corona has been
greatly progressed based on the space observations of SMM, Yohkoh, Compton GRO,
SOHO, TRACE, RHESSI, and STEREO. We observe now acoustic waves, MHD
oscillations, turbulence-related line broadening, magnetic configurations
related to reconnection processes, and radiation from high-energy particles on
a routine basis. We review a number of key observations in EUV, soft X-rays,
and hard X-rays that innovated our physical understanding of the solar corona,
in terms of hydrodynamics, MHD, plasma heating, and particle acceleration
processes.
| astro-ph | our understanding of fundamental processes in the solar corona has been greatly progressed based on the space observations of smm yohkoh compton gro soho trace rhessi and stereo we observe now acoustic waves mhd oscillations turbulencerelated line broadening magnetic configurations related to reconnection processes and radiation from highenergy particles on a routine basis we review a number of key observations in euv soft xrays and hard xrays that innovated our physical understanding of the solar corona in terms of hydrodynamics mhd plasma heating and particle acceleration processes | [['our', 'understanding', 'of', 'fundamental', 'processes', 'in', 'the', 'solar', 'corona', 'has', 'been', 'greatly', 'progressed', 'based', 'on', 'the', 'space', 'observations', 'of', 'smm', 'yohkoh', 'compton', 'gro', 'soho', 'trace', 'rhessi', 'and', 'stereo', 'we', 'observe', 'now', 'acoustic', 'waves', 'mhd', 'oscillations', 'turbulencerelated', 'line', 'broadening', 'magnetic', 'configurations', 'related', 'to', 'reconnection', 'processes', 'and', 'radiation', 'from', 'highenergy', 'particles', 'on', 'a', 'routine', 'basis', 'we', 'review', 'a', 'number', 'of', 'key', 'observations', 'in', 'euv', 'soft', 'xrays', 'and', 'hard', 'xrays', 'that', 'innovated', 'our', 'physical', 'understanding', 'of', 'the', 'solar', 'corona', 'in', 'terms', 'of', 'hydrodynamics', 'mhd', 'plasma', 'heating', 'and', 'particle', 'acceleration', 'processes']] | [-0.055087310227233614, 0.247492424372969, -0.01284442993212791, 0.14944588710907206, -0.12264063593599646, -0.011372814870214668, -0.028617358153643108, 0.41703354195295567, -0.19978203124570093, -0.3412245761860034, 0.053718949375063954, -0.2641079791275592, -0.07253008046797638, 0.29340094807102807, -0.009925204029456637, 0.06314739657715819, 0.12397556330195103, -0.12194821338072934, 0.024644749150772034, -0.11584409422123398, 0.25003755767829716, 0.17812112670648714, 0.20687552932221656, 0.023444610465874618, 0.08084525657154021, -0.04925986010602665, -0.07181875538295028, -0.02104298639728088, -0.10270417214281945, 0.021157288731172168, 0.20616176925685215, 0.1391290384023611, 0.1937879005222228, -0.5064065665349193, -0.3344497858792886, -0.03778073709222606, 0.19127295510950446, -0.046642468781906296, -0.032779371893119025, -0.2390412314174076, -0.07508819545726238, -0.14198770671654706, -0.0987174713598757, 0.025874139682186402, 0.00510520996504474, 0.0044239704341938095, -0.24581087204017515, 0.03368462134024192, 0.04857567824080758, 0.08022986086963237, -0.14863110356161308, -0.020493090902080482, -0.007323459117277257, 0.07453184617661882, 0.11308016128645375, 0.05122758116808602, 0.22061609019707332, -0.12983152475448903, -0.16503920666231164, 0.381983025208244, -0.017058892408385873, -0.005375556273107556, 0.2515284525492796, -0.28448594112388104, -0.19207992230745397, 0.24172652911544704, 0.1657562019228507, 0.07971202137869322, -0.12789121532983994, 0.039226298643297505, -0.0473804366400187, 0.16301622714890146, 0.07733575116586068, 0.03584008848551532, 0.29082752908205334, 0.14815350846740707, -0.05009474749837456, 0.10764587576361909, -0.2164283037645978, -0.00903789062138604, -0.2597477575228817, -0.12630059297100224, -0.1313412570576558, 0.09676495152686176, -0.06597337586973825, -0.21027166609941372, 0.39198678366882705, 0.21208213604772572, 0.1361891744958087, -0.08718809426558771, 0.3699204348584359, 0.10105019123507557, 0.007195122165327099, 0.14824334871901693, 0.32065636091919125, 0.2004704931008244, 0.23875319125965752, -0.24870050894150017, 0.030864197683210175, 0.11175426196349764] |
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