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712.2079 | Phenomenological analysis of the nucleon spin contents and their scale
dependence | In the past few years, a lot of evidences have been accumulated, which
indicate that the gluon polarization inside the nucleon is likely to be small
at least at the low renormalization scales. On the other hand, the recent
lattice QCD analyses suggest that the net orbital angular momentum carried by
the quarks is nearly zero. There is also some indication noticed by Brodsky and
Gardner based on the COMPASS observation of small single-spin asymmetry on the
isoscalar deuteron target, that the gluon orbital angular momentum inside the
nucleon is likely to be small. Naively combining all these observations, we are
led to a rather embarrassing conclusion that the nucleon constituents
altogether do not carry enough amount of angular momentum saturating the total
nucleon spin. We show that this somewhat confused state of affairs can be
cleared up only by paying careful attention to the scale dependencies of the
nucleon spin decomposition.
| hep-ph hep-ex nucl-ex | in the past few years a lot of evidences have been accumulated which indicate that the gluon polarization inside the nucleon is likely to be small at least at the low renormalization scales on the other hand the recent lattice qcd analyses suggest that the net orbital angular momentum carried by the quarks is nearly zero there is also some indication noticed by brodsky and gardner based on the compass observation of small singlespin asymmetry on the isoscalar deuteron target that the gluon orbital angular momentum inside the nucleon is likely to be small naively combining all these observations we are led to a rather embarrassing conclusion that the nucleon constituents altogether do not carry enough amount of angular momentum saturating the total nucleon spin we show that this somewhat confused state of affairs can be cleared up only by paying careful attention to the scale dependencies of the nucleon spin decomposition | [['in', 'the', 'past', 'few', 'years', 'a', 'lot', 'of', 'evidences', 'have', 'been', 'accumulated', 'which', 'indicate', 'that', 'the', 'gluon', 'polarization', 'inside', 'the', 'nucleon', 'is', 'likely', 'to', 'be', 'small', 'at', 'least', 'at', 'the', 'low', 'renormalization', 'scales', 'on', 'the', 'other', 'hand', 'the', 'recent', 'lattice', 'qcd', 'analyses', 'suggest', 'that', 'the', 'net', 'orbital', 'angular', 'momentum', 'carried', 'by', 'the', 'quarks', 'is', 'nearly', 'zero', 'there', 'is', 'also', 'some', 'indication', 'noticed', 'by', 'brodsky', 'and', 'gardner', 'based', 'on', 'the', 'compass', 'observation', 'of', 'small', 'singlespin', 'asymmetry', 'on', 'the', 'isoscalar', 'deuteron', 'target', 'that', 'the', 'gluon', 'orbital', 'angular', 'momentum', 'inside', 'the', 'nucleon', 'is', 'likely', 'to', 'be', 'small', 'naively', 'combining', 'all', 'these', 'observations', 'we', 'are', 'led', 'to', 'a', 'rather', 'embarrassing', 'conclusion', 'that', 'the', 'nucleon', 'constituents', 'altogether', 'do', 'not', 'carry', 'enough', 'amount', 'of', 'angular', 'momentum', 'saturating', 'the', 'total', 'nucleon', 'spin', 'we', 'show', 'that', 'this', 'somewhat', 'confused', 'state', 'of', 'affairs', 'can', 'be', 'cleared', 'up', 'only', 'by', 'paying', 'careful', 'attention', 'to', 'the', 'scale', 'dependencies', 'of', 'the', 'nucleon', 'spin', 'decomposition']] | [-0.10708314992715666, 0.23871528003732428, -0.13747590870939588, 0.09002116868061039, -0.12177575082904168, -0.05770131223069161, 0.057664731059431734, 0.37614302457261245, -0.1986730478667213, -0.2729868892167935, 0.041102138681086024, -0.30584365332891283, -0.03161405431915467, 0.1329924904712243, 0.026677325006427343, 0.02189872052679819, 0.10306799643378901, 0.031377280431211386, -0.06027449119842219, -0.24348203909252525, 0.3371326131638948, 0.07437287908090327, 0.21641121045563763, 0.14767783066858292, 0.10567717817857077, 0.0030103975119632914, -0.05503294088166991, -0.015643162435337313, -0.07532728772031605, 0.058111139907085, 0.21938947504263764, 0.03425598469958028, 0.21015674988494107, -0.43590290680233584, -0.170979708120668, 0.09615177090285885, 0.15891888393487438, 0.1547864327156659, -0.03133174586400855, -0.24670588523057582, 0.07554484795783585, -0.23047778750524708, -0.14563357699233548, -0.13755318909993788, 0.038779490578331445, -0.015048242805182542, -0.21891066363681794, 0.08340475531919142, 0.03915400576691976, 0.03229264606795225, -0.03602323408688933, -0.23183787266699304, -0.0888347877036339, 0.041749073817443694, 0.14218498369997465, 0.11823161294389713, 0.13543614895867281, -0.13965271730558015, -0.08299473464170373, 0.33297285053107006, 0.00963702312162097, -0.18405241351942286, 0.12376682977590367, -0.2391283791512251, -0.14057027679518797, 0.16933547293822476, 0.14654683045228012, 0.08562181742040832, -0.1469686760377188, 0.030812748274145537, -0.08760752056428157, 0.220826028254937, 0.11426547567029238, 0.08613892094734565, 0.28198579988307565, 0.13581552176803693, 0.03237469123039199, 0.05192334432036947, -0.12606834511174575, -0.13304094211994916, -0.2851793318251638, -0.06172330753677096, -0.21324624606648668, 0.10227511478842644, -0.055905900377757986, -0.04959342756621098, 0.357254035939389, 0.12382416239334386, 0.2520571159486855, -0.039446021178216474, 0.2945027673298395, 0.09063822796298682, 0.16146602211857067, 0.0843621903668942, 0.31063375881613436, 0.12012731023959962, 0.13363686943500253, -0.26574695967199086, 0.062838611711509, 0.006673470632736816] |
712.208 | Homotopy groups of the spaces of self-maps of Lie groups | We compute the homotopy groups of the spaces of self maps of Lie groups of
rank 2, SU(3), Sp(2), and G_2. We use the cell structures of these Lie groups
and the standard methods of homotopy theory.
| math.AT | we compute the homotopy groups of the spaces of self maps of lie groups of rank 2 su3 sp2 and g_2 we use the cell structures of these lie groups and the standard methods of homotopy theory | [['we', 'compute', 'the', 'homotopy', 'groups', 'of', 'the', 'spaces', 'of', 'self', 'maps', 'of', 'lie', 'groups', 'of', 'rank', '2', 'su3', 'sp2', 'and', 'g_2', 'we', 'use', 'the', 'cell', 'structures', 'of', 'these', 'lie', 'groups', 'and', 'the', 'standard', 'methods', 'of', 'homotopy', 'theory']] | [-0.1638815203505392, 0.06855393704530355, -0.07591972253411203, 0.10782762868581591, -0.0567830239070227, -0.06268518712572954, 0.05437739033289757, 0.45915233791881316, -0.30343660994155985, -0.21510306111461408, 0.10262300761265529, -0.2049213563268249, -0.17073646180231022, 0.11232163583406725, -0.08466789403275864, -0.10819648085413752, -0.016962677781545633, 0.13265181242211446, -0.14108657439214153, -0.2985011380625184, 0.4669987194970049, -0.09090720781603374, 0.25098720302028943, -0.014534881967749144, 0.10752673567952337, -0.032831884077372586, -0.05976363588627931, -0.0003339998625420235, -0.12862698008885254, 0.2827680801620355, 0.2883193857363752, 0.045982721286851005, 0.16697628614870277, -0.3843549298172867, -0.1290780184538783, 0.17986222200498386, 0.13760275491890875, 0.0626988834827333, -0.0032428344397025335, -0.2954074192188076, 0.12761231643978405, -0.19413339769518054, -0.10072035629402946, -0.07901671629499744, -0.02002104472155003, 0.040891650837619566, -0.1420574454036919, 0.03408015426248312, 0.014651672662915411, 0.1405207204657632, -0.12130974016680911, -0.1093578395005819, -0.11075732344761491, 0.20426760553508191, -0.010889534108542107, -0.049068919180442476, 0.19433304574340582, -0.09964658868675297, -0.20417494130497044, 0.49083890322897883, 0.026560430717025255, -0.14773651836691676, 0.19642249844666268, -0.16933972207275597, -0.2521443975132865, 0.12810033494354905, 0.0773798820084414, 0.15585254816215713, 0.009277624883563132, 0.21350985533570419, -0.047777611711943474, 0.0599897260198722, 0.051477162746360175, -0.0476146745747207, 0.06499159562628011, 0.13659385903864293, 0.07596259589332181, 0.04020499151099373, 0.01735512142044467, 0.008971424919641199, -0.32348790986312403, -0.18985170276986585, -0.03393717155464598, 0.07557532069197781, -0.18731635051222542, -0.2136246536518573, 0.4346310353863078, 0.03779271234934394, 0.11580626052376386, 0.16511536784772132, 0.17557946149561857, -0.015403824380120716, 0.1285769281455794, -0.004159729323677115, 0.1358635123139499, 0.3476638924833891, -0.06848854532566022, -0.1316319109519591, -0.21235672507837816, 0.25877101502909855] |
712.2081 | Missing monopole strength of the Hoyle state in the inelastic
$\alpha$+$^{12}$C scattering | Analyses of the inelastic $\alpha$+$^{12}$C scattering at medium energies
have indicated that the strength of the Hoyle state (the isoscalar 0$^+_2$
excitation at 7.65 MeV in $^{12}$C) seems to exhaust only 7 to 9% of the
monopole energy weighted sum rule (EWSR), compared to about 15% of the EWSR
extracted from inelastic electron scattering data. The full monopole transition
strength predicted by realistic microscopic $\alpha$-cluster models of the
Hoyle state can be shown to exhaust up to 22% of the EWSR. To explore the
missing monopole strength in the inelastic $\alpha$+$^{12}$C scattering, we
have performed a fully microscopic folding model analysis of the inelastic
$\alpha$+$^{12}$C scattering at $E_{\rm lab}=104$ to 240 MeV using the
3-$\alpha$ resonating group wave function of the Hoyle state obtained by
Kamimura, and a complex density-dependent M3Y interaction newly parametrized
based on the Brueckner Hartree Fock results for nuclear matter. Our folding
model analysis has shown consistently that the missing monopole strength of the
Hoyle state is not associated with the uncertainties in the analysis of the
$\alpha$+$^{12}$C scattering, but is most likely due to the short lifetime and
weakly bound structure of this state which significantly enhances absorption in
the exit $\alpha$+$^{12}$C$^*(0^+_2)$ channel.
| nucl-th nucl-ex | analyses of the inelastic alpha12c scattering at medium energies have indicated that the strength of the hoyle state the isoscalar 0_2 excitation at 765 mev in 12c seems to exhaust only 7 to 9 of the monopole energy weighted sum rule ewsr compared to about 15 of the ewsr extracted from inelastic electron scattering data the full monopole transition strength predicted by realistic microscopic alphacluster models of the hoyle state can be shown to exhaust up to 22 of the ewsr to explore the missing monopole strength in the inelastic alpha12c scattering we have performed a fully microscopic folding model analysis of the inelastic alpha12c scattering at e_rm lab104 to 240 mev using the 3alpha resonating group wave function of the hoyle state obtained by kamimura and a complex densitydependent m3y interaction newly parametrized based on the brueckner hartree fock results for nuclear matter our folding model analysis has shown consistently that the missing monopole strength of the hoyle state is not associated with the uncertainties in the analysis of the alpha12c scattering but is most likely due to the short lifetime and weakly bound structure of this state which significantly enhances absorption in the exit alpha12c0_2 channel | [['analyses', 'of', 'the', 'inelastic', 'alpha12c', 'scattering', 'at', 'medium', 'energies', 'have', 'indicated', 'that', 'the', 'strength', 'of', 'the', 'hoyle', 'state', 'the', 'isoscalar', '0_2', 'excitation', 'at', '765', 'mev', 'in', '12c', 'seems', 'to', 'exhaust', 'only', '7', 'to', '9', 'of', 'the', 'monopole', 'energy', 'weighted', 'sum', 'rule', 'ewsr', 'compared', 'to', 'about', '15', 'of', 'the', 'ewsr', 'extracted', 'from', 'inelastic', 'electron', 'scattering', 'data', 'the', 'full', 'monopole', 'transition', 'strength', 'predicted', 'by', 'realistic', 'microscopic', 'alphacluster', 'models', 'of', 'the', 'hoyle', 'state', 'can', 'be', 'shown', 'to', 'exhaust', 'up', 'to', '22', 'of', 'the', 'ewsr', 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'this', 'state', 'which', 'significantly', 'enhances', 'absorption', 'in', 'the', 'exit', 'alpha12c0_2', 'channel']] | [-0.06862421719555928, 0.18394439752972425, -0.07477855750449418, 0.1271288069798304, -0.025146132880209608, -0.08564512234601915, 0.06352212379785813, 0.34053785032427253, -0.2229355872770639, -0.3040090271172487, -0.03126501474945527, -0.31868193100967684, -0.045426446114794405, 0.1145267875623998, 0.13205227825015328, 0.02287375982401675, 0.04872779486828536, 0.0764034577210429, -0.04899620897075171, -0.16818225769642836, 0.3317498667886585, 0.11098111954607486, 0.2702218834121669, 0.12830510440835496, 0.036256869288686155, 0.05501995270665225, 0.028398346510446315, -0.07660005843919243, -0.12839174269012182, 0.06651715652043293, 0.2554708638908686, 0.014673828003162206, 0.16758702114238616, -0.40088533912194413, -0.20418824039891287, 0.05567810893162783, 0.18275150635426268, 0.13807326596440644, 0.01928066685594864, -0.3407024425752272, 0.04293344811262175, 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712.2082 | Diffusion of Colloidal Fluids in Random Porous Media | A simple manner to describe the diffusive relaxation of a colloidal fluid
adsorbed in a porous medium is to model the porous medium as a set of spherical
particles fixed in space at random positions with prescribed statistical
structural properties. Within this model one may describe the relaxation of
concentration fluctuations of the adsorbed fluid by simply setting to zero the
short-time mobility of one species (the porous matrix) in a theory of the
dynamics of equilibrium colloidal mixtures, or by extending such dynamic theory
to explicitly consider the porous matrix as a random external field. Here we
consider the first approach and employ the self-consistent generalized Langevin
equation (SCGLE) theory of the dynamics of equilibrium colloidal mixtures, to
describe the dynamics of the mobile component. We conclude that if the correct
static structure factors are provided as input, the SCGLE theory correctly
predicts the main features of the dynamics of the permeating fluid.
| cond-mat.mtrl-sci | a simple manner to describe the diffusive relaxation of a colloidal fluid adsorbed in a porous medium is to model the porous medium as a set of spherical particles fixed in space at random positions with prescribed statistical structural properties within this model one may describe the relaxation of concentration fluctuations of the adsorbed fluid by simply setting to zero the shorttime mobility of one species the porous matrix in a theory of the dynamics of equilibrium colloidal mixtures or by extending such dynamic theory to explicitly consider the porous matrix as a random external field here we consider the first approach and employ the selfconsistent generalized langevin equation scgle theory of the dynamics of equilibrium colloidal mixtures to describe the dynamics of the mobile component we conclude that if the correct static structure factors are provided as input the scgle theory correctly predicts the main features of the dynamics of the permeating fluid | [['a', 'simple', 'manner', 'to', 'describe', 'the', 'diffusive', 'relaxation', 'of', 'a', 'colloidal', 'fluid', 'adsorbed', 'in', 'a', 'porous', 'medium', 'is', 'to', 'model', 'the', 'porous', 'medium', 'as', 'a', 'set', 'of', 'spherical', 'particles', 'fixed', 'in', 'space', 'at', 'random', 'positions', 'with', 'prescribed', 'statistical', 'structural', 'properties', 'within', 'this', 'model', 'one', 'may', 'describe', 'the', 'relaxation', 'of', 'concentration', 'fluctuations', 'of', 'the', 'adsorbed', 'fluid', 'by', 'simply', 'setting', 'to', 'zero', 'the', 'shorttime', 'mobility', 'of', 'one', 'species', 'the', 'porous', 'matrix', 'in', 'a', 'theory', 'of', 'the', 'dynamics', 'of', 'equilibrium', 'colloidal', 'mixtures', 'or', 'by', 'extending', 'such', 'dynamic', 'theory', 'to', 'explicitly', 'consider', 'the', 'porous', 'matrix', 'as', 'a', 'random', 'external', 'field', 'here', 'we', 'consider', 'the', 'first', 'approach', 'and', 'employ', 'the', 'selfconsistent', 'generalized', 'langevin', 'equation', 'scgle', 'theory', 'of', 'the', 'dynamics', 'of', 'equilibrium', 'colloidal', 'mixtures', 'to', 'describe', 'the', 'dynamics', 'of', 'the', 'mobile', 'component', 'we', 'conclude', 'that', 'if', 'the', 'correct', 'static', 'structure', 'factors', 'are', 'provided', 'as', 'input', 'the', 'scgle', 'theory', 'correctly', 'predicts', 'the', 'main', 'features', 'of', 'the', 'dynamics', 'of', 'the', 'permeating', 'fluid']] | [-0.08954157385152656, 0.18420138174226483, -0.12971221999410396, 0.012286545336851246, -0.004891519832376439, -0.10951309431610363, -0.00032967801641237425, 0.32309714574124904, -0.3134612318479105, -0.2644240568670166, 0.033442782780137396, -0.2659527272856855, -0.16678088511999503, 0.05719503158455497, 0.010464751610287478, 0.04860253284334556, -0.009811577323654836, 0.022611741362103296, -0.021165867796464063, -0.18142262632299408, 0.2930654839086407, 0.018998204463603, 0.25358343517177967, 0.021551484202772572, 0.12500535424605205, 0.03244126702782807, 0.031408969145653734, 0.07752440154968984, -0.1692930514663522, 0.09297382821821813, 0.20893575112613572, 0.03258942339762852, 0.2533157690195367, -0.4931776732230535, -0.3070466597262141, 0.04582277589550169, 0.11888278264086694, 0.13739378269846467, -0.029788032945172935, -0.24766185784156058, 0.04537441217425195, -0.1442977993253183, -0.19716160753802336, -0.07478309128518132, 0.00489040702965425, 0.07100627056395563, -0.24143390211635027, 0.12281862868286379, 0.0660656770001855, 0.022396461808352502, -0.09695530245262017, -0.0762404917146672, -0.0069618855841917454, 0.11304863052769237, 0.019663211936433497, -0.0350869854748878, 0.23102332761075783, -0.14906201164945718, -0.053351414435642903, 0.44244420284695635, -0.10077668805062384, -0.23131351625885477, 0.20049392746446967, -0.13775917596195814, -0.09463605061989858, 0.15054973576054606, 0.19802591124210844, 0.12916128609220606, -0.19988283606937046, 0.07260609934274288, -0.0793865167569103, 0.16079578634545014, 0.028322727900216137, -0.04056621157540033, 0.18937470120764882, 0.20672965074538605, 0.024241960419995056, 0.15303364269096742, -0.03955631217217774, -0.15897134550266548, -0.2780989904875879, -0.16348685767477403, -0.19743764241582823, 0.06290372990845859, -0.1271325837772199, -0.22799315304168827, 0.3634071608025629, 0.12354150683696188, 0.18397140731527048, 0.033410838968422896, 0.267937669931917, 0.07289034911658533, -0.032832737776221005, 0.05466428950471296, 0.20315883349772398, 0.19488943300766315, 0.1101508476414609, -0.244910165008351, 0.06501682608255319, 0.0934653647346785] |
712.2083 | VoIP over Multiple IEEE 802.11 Wireless LANs | Prior work indicates that 802.11 is extremely inefficient for VoIP transport.
Only 12 and 60 VoIP sessions can be supported in an 802.11b and an 802.11g
WLAN, respectively. This paper shows that the bad news does not stop there.
When there are multiple WLANs in the vicinity of each other, the already-low
VoIP capacity can be further eroded in a significant manner. For example, in a
5-by-5, 25-cell multi-WLAN network, the VoIP capacities for 802.11b and 802.11g
are only 1.63 and 10.34 sessions per AP, respectively. This paper investigates
several solutions to improve the VoIP capacity. Based on a conflict graph
model, we propose a clique-analytical call-admission scheme, which increases
the VoIP capacity by 52% and 37% in 802.11b and 802.11g respectively. If all
the three orthogonal frequency channels available in 11b and 11g are used, the
capacity can be nearly tripled by the call-admission scheme. This paper also
proposes for the first time the use of coarse-grained time-division multiple
access (CoTDMA) in conjunction with the basic 802.11 CSMA to eliminate the
performance-degrading exposed-node and hidden-node problems. We find that
CoTDMA can further increase the VoIP capacity in the multi-WLAN scenario by an
additional 35%.
| cs.NI | prior work indicates that 80211 is extremely inefficient for voip transport only 12 and 60 voip sessions can be supported in an 80211b and an 80211g wlan respectively this paper shows that the bad news does not stop there when there are multiple wlans in the vicinity of each other the alreadylow voip capacity can be further eroded in a significant manner for example in a 5by5 25cell multiwlan network the voip capacities for 80211b and 80211g are only 163 and 1034 sessions per ap respectively this paper investigates several solutions to improve the voip capacity based on a conflict graph model we propose a cliqueanalytical calladmission scheme which increases the voip capacity by 52 and 37 in 80211b and 80211g respectively if all the three orthogonal frequency channels available in 11b and 11g are used the capacity can be nearly tripled by the calladmission scheme this paper also proposes for the first time the use of coarsegrained timedivision multiple access cotdma in conjunction with the basic 80211 csma to eliminate the performancedegrading exposednode and hiddennode problems we find that cotdma can further increase the voip capacity in the multiwlan scenario by an additional 35 | [['prior', 'work', 'indicates', 'that', '80211', 'is', 'extremely', 'inefficient', 'for', 'voip', 'transport', 'only', '12', 'and', '60', 'voip', 'sessions', 'can', 'be', 'supported', 'in', 'an', '80211b', 'and', 'an', '80211g', 'wlan', 'respectively', 'this', 'paper', 'shows', 'that', 'the', 'bad', 'news', 'does', 'not', 'stop', 'there', 'when', 'there', 'are', 'multiple', 'wlans', 'in', 'the', 'vicinity', 'of', 'each', 'other', 'the', 'alreadylow', 'voip', 'capacity', 'can', 'be', 'further', 'eroded', 'in', 'a', 'significant', 'manner', 'for', 'example', 'in', 'a', '5by5', '25cell', 'multiwlan', 'network', 'the', 'voip', 'capacities', 'for', '80211b', 'and', '80211g', 'are', 'only', '163', 'and', '1034', 'sessions', 'per', 'ap', 'respectively', 'this', 'paper', 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712.2084 | Semi-Clifford operations, structure of $\mathcal{C}_k$ hierarchy, and
gate complexity for fault-tolerant quantum computation | Teleportation is a crucial element in fault-tolerant quantum computation and
a complete understanding of its capacity is very important for the practical
implementation of optimal fault-tolerant architectures. It is known that
stabilizer codes support a natural set of gates that can be more easily
implemented by teleportation than any other gates. These gates belong to the so
called $\mathcal{C}_k$ hierarchy introduced by Gottesman and Chuang (Nature
\textbf{402}, 390). Moreover, a subset of $\mathcal{C}_k$ gates, called
semi-Clifford operations, can be implemented by an even simpler architecture
than the traditional teleportation setup (Phys. Rev. \textbf{A62}, 052316).
However, the precise set of gates in $\mathcal{C}_k$ remains unknown, even for
a fixed number of qubits $n$, which prevents us from knowing exactly what
teleportation is capable of. In this paper we study the structure of
$\mathcal{C}_k$ in terms of semi-Clifford operations, which send by conjugation
at least one maximal abelian subgroup of the $n$-qubit Pauli group into another
one. We show that for $n=1,2$, all the $\mathcal{C}_k$ gates are semi-Clifford,
which is also true for $\{n=3,k=3\}$. However, this is no longer true for
$\{n>2,k>3\}$. To measure the capability of this teleportation primitive, we
introduce a quantity called `teleportation depth', which characterizes how many
teleportation steps are necessary, on average, to implement a given gate. We
calculate upper bounds for teleportation depth by decomposing gates into both
semi-Clifford $\mathcal{C}_k$ gates and those $\mathcal{C}_k$ gates beyond
semi-Clifford operations, and compare their efficiency.
| quant-ph | teleportation is a crucial element in faulttolerant quantum computation and a complete understanding of its capacity is very important for the practical implementation of optimal faulttolerant architectures it is known that stabilizer codes support a natural set of gates that can be more easily implemented by teleportation than any other gates these gates belong to the so called mathcalc_k hierarchy introduced by gottesman and chuang nature textbf402 390 moreover a subset of mathcalc_k gates called semiclifford operations can be implemented by an even simpler architecture than the traditional teleportation setup phys rev textbfa62 052316 however the precise set of gates in mathcalc_k remains unknown even for a fixed number of qubits n which prevents us from knowing exactly what teleportation is capable of in this paper we study the structure of mathcalc_k in terms of semiclifford operations which send by conjugation at least one maximal abelian subgroup of the nqubit pauli group into another one we show that for n12 all the mathcalc_k gates are semiclifford which is also true for n3k3 however this is no longer true for n2k3 to measure the capability of this teleportation primitive we introduce a quantity called teleportation depth which characterizes how many teleportation steps are necessary on average to implement a given gate we calculate upper bounds for teleportation depth by decomposing gates into both semiclifford mathcalc_k gates and those mathcalc_k gates beyond semiclifford operations and compare their efficiency | [['teleportation', 'is', 'a', 'crucial', 'element', 'in', 'faulttolerant', 'quantum', 'computation', 'and', 'a', 'complete', 'understanding', 'of', 'its', 'capacity', 'is', 'very', 'important', 'for', 'the', 'practical', 'implementation', 'of', 'optimal', 'faulttolerant', 'architectures', 'it', 'is', 'known', 'that', 'stabilizer', 'codes', 'support', 'a', 'natural', 'set', 'of', 'gates', 'that', 'can', 'be', 'more', 'easily', 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712.2085 | Riesz transforms in one dimension | We study the boundedness on $L^p$ of the Riesz transform $\nabla L^{-1/2}$,
where $L$ is one of several operators defined on $\R$ or $\R_+$, endowed with
the measure $r^{d-1} dr$, $d > 1$, where $dr$ is Lebesgue measure. For integer
$d$, this mimics the measure on Euclidean $d$-dimensional space, and in this
case our setup is equivalent to looking at the Laplacian acting on radial
functions on Euclidean space or variations of Euclidean space such as the
exterior of a sphere (with either Dirichlet or Neumann boundary conditions), or
the connected sum of two copies of $\R^d$. In this way we illuminate some
recent results on the Riesz transform on asymptotically Euclidean manifolds.
We are however interested in all real values of $d > 1$, and another goal of
our analysis is to study the range of boundedness as a function of $d$; it is
particularly interesting to see the behaviour as $d$ crosses 2. For example, in
one of our cases which models radial functions on the connected sum of two
copies of $\R^d$, the upper threshold for $L^p$ boundedness is $p=d$ for $d \ge
2$ and $p=d/(d-1)$ for $d < 2$. Only in the case $d=2$ is the Riesz transform
actually bounded on $L^p$ when $p$ is equal to the upper threshold.
We also study the Riesz transform when we have an inverse square potential,
or a delta function potential; these cases provide a simple model for recent
results of the first author and Guillarmou. Finally we look at the Hodge
projector in a slightly more general setup.
| math.AP math.CA | we study the boundedness on lp of the riesz transform nabla l12 where l is one of several operators defined on r or r_ endowed with the measure rd1 dr d 1 where dr is lebesgue measure for integer d this mimics the measure on euclidean ddimensional space and in this case our setup is equivalent to looking at the laplacian acting on radial functions on euclidean space or variations of euclidean space such as the exterior of a sphere with either dirichlet or neumann boundary conditions or the connected sum of two copies of rd in this way we illuminate some recent results on the riesz transform on asymptotically euclidean manifolds we are however interested in all real values of d 1 and another goal of our analysis is to study the range of boundedness as a function of d it is particularly interesting to see the behaviour as d crosses 2 for example in one of our cases which models radial functions on the connected sum of two copies of rd the upper threshold for lp boundedness is pd for d ge 2 and pdd1 for d 2 only in the case d2 is the riesz transform actually bounded on lp when p is equal to the upper threshold we also study the riesz transform when we have an inverse square potential or a delta function potential these cases provide a simple model for recent results of the first author and guillarmou finally we look at the hodge projector in a slightly more general setup | [['we', 'study', 'the', 'boundedness', 'on', 'lp', 'of', 'the', 'riesz', 'transform', 'nabla', 'l12', 'where', 'l', 'is', 'one', 'of', 'several', 'operators', 'defined', 'on', 'r', 'or', 'r_', 'endowed', 'with', 'the', 'measure', 'rd1', 'dr', 'd', '1', 'where', 'dr', 'is', 'lebesgue', 'measure', 'for', 'integer', 'd', 'this', 'mimics', 'the', 'measure', 'on', 'euclidean', 'ddimensional', 'space', 'and', 'in', 'this', 'case', 'our', 'setup', 'is', 'equivalent', 'to', 'looking', 'at', 'the', 'laplacian', 'acting', 'on', 'radial', 'functions', 'on', 'euclidean', 'space', 'or', 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712.2086 | On weak and strong magnetohydrodynamic turbulence | Recent numerical and observational studies contain conflicting reports on the
spectrum of magnetohydrodynamic turbulence. In an attempt to clarify the issue
we investigate anisotropic incompressible magnetohydrodynamic turbulence with a
strong guide field $B_0$. We perform numerical simulations of the reduced MHD
equations in a special setting that allows us to elucidate the transition
between weak and strong turbulent regimes. Denote $k_{\|}$, $k_\perp$
characteristic field-parallel and field-perpendicular wavenumbers of the
fluctuations, and $b_{\lambda}$ the fluctuating field at the scale $\lambda\sim
1/k_{\perp}$. We find that when the critical balance condition, $k_{\|}B_0\sim
k_{\perp} b_{\lambda}$, is satisfied, the turbulence is strong, and the energy
spectrum is $E(k_{\perp})\propto k^{-3/2}_{\perp}$. As the $k_{\|}$ width of
the spectrum increases, the turbulence rapidly becomes weaker, and in the limit
$k_{\|}B_0\gg k_{\perp} b_{\lambda}$, the spectrum approaches
$E(k_{\perp})\propto k_{\perp}^{-2}$. The observed sensitivity of the spectrum
to the balance of linear and nonlinear interactions may explain the conflicting
numerical and observational findings where this balance condition is not well
controlled.
| astro-ph nlin.CD physics.flu-dyn physics.plasm-ph | recent numerical and observational studies contain conflicting reports on the spectrum of magnetohydrodynamic turbulence in an attempt to clarify the issue we investigate anisotropic incompressible magnetohydrodynamic turbulence with a strong guide field b_0 we perform numerical simulations of the reduced mhd equations in a special setting that allows us to elucidate the transition between weak and strong turbulent regimes denote k_ k_perp characteristic fieldparallel and fieldperpendicular wavenumbers of the fluctuations and b_lambda the fluctuating field at the scale lambdasim 1k_perp we find that when the critical balance condition k_b_0sim k_perp b_lambda is satisfied the turbulence is strong and the energy spectrum is ek_perppropto k32_perp as the k_ width of the spectrum increases the turbulence rapidly becomes weaker and in the limit k_b_0gg k_perp b_lambda the spectrum approaches ek_perppropto k_perp2 the observed sensitivity of the spectrum to the balance of linear and nonlinear interactions may explain the conflicting numerical and observational findings where this balance condition is not well controlled | [['recent', 'numerical', 'and', 'observational', 'studies', 'contain', 'conflicting', 'reports', 'on', 'the', 'spectrum', 'of', 'magnetohydrodynamic', 'turbulence', 'in', 'an', 'attempt', 'to', 'clarify', 'the', 'issue', 'we', 'investigate', 'anisotropic', 'incompressible', 'magnetohydrodynamic', 'turbulence', 'with', 'a', 'strong', 'guide', 'field', 'b_0', 'we', 'perform', 'numerical', 'simulations', 'of', 'the', 'reduced', 'mhd', 'equations', 'in', 'a', 'special', 'setting', 'that', 'allows', 'us', 'to', 'elucidate', 'the', 'transition', 'between', 'weak', 'and', 'strong', 'turbulent', 'regimes', 'denote', 'k_', 'k_perp', 'characteristic', 'fieldparallel', 'and', 'fieldperpendicular', 'wavenumbers', 'of', 'the', 'fluctuations', 'and', 'b_lambda', 'the', 'fluctuating', 'field', 'at', 'the', 'scale', 'lambdasim', '1k_perp', 'we', 'find', 'that', 'when', 'the', 'critical', 'balance', 'condition', 'k_b_0sim', 'k_perp', 'b_lambda', 'is', 'satisfied', 'the', 'turbulence', 'is', 'strong', 'and', 'the', 'energy', 'spectrum', 'is', 'ek_perppropto', 'k32_perp', 'as', 'the', 'k_', 'width', 'of', 'the', 'spectrum', 'increases', 'the', 'turbulence', 'rapidly', 'becomes', 'weaker', 'and', 'in', 'the', 'limit', 'k_b_0gg', 'k_perp', 'b_lambda', 'the', 'spectrum', 'approaches', 'ek_perppropto', 'k_perp2', 'the', 'observed', 'sensitivity', 'of', 'the', 'spectrum', 'to', 'the', 'balance', 'of', 'linear', 'and', 'nonlinear', 'interactions', 'may', 'explain', 'the', 'conflicting', 'numerical', 'and', 'observational', 'findings', 'where', 'this', 'balance', 'condition', 'is', 'not', 'well', 'controlled']] | [-0.20669895990511342, 0.17310088325015854, -0.0658644468512296, 0.11594906720978719, -0.08063080200302084, -0.08511495991129309, -0.039087473480932174, 0.30646613146508894, -0.27002863578738706, -0.2873647670772287, 0.03647281446178714, -0.26750087996713834, -0.04834478544071317, 0.17353485578731184, 0.0433189942080888, 0.037900307388495535, 0.019795411571319546, -0.04658192689079912, -0.018544840388330482, -0.12267760578693161, 0.32336807638526927, 0.1536910433322191, 0.29822253853518277, 0.07251721316828362, 0.03221159756048432, -0.08262936111329304, -0.01989321560869294, 0.045896215537082286, -0.23048185264858823, 0.0025742940108982788, 0.19759353751677178, 0.022837515158068027, 0.2718072247406047, -0.4368806945580629, -0.21626789233376903, 0.062206060789345256, 0.17846860865791958, 0.06014857820926174, 0.03068538988910375, -0.22558325547124108, 0.09365423830045808, -0.12497972940693744, -0.13185079889071563, -0.06507071083291403, -0.007785908173349115, 0.02968891797054018, -0.3399551258722861, 0.1484171184110305, 0.07090942165889447, 0.07719049473563509, -0.07892493355208106, -0.06418528847035862, -0.04395467689290883, 0.07339259355738309, 0.13504846130738096, 0.04349925760780611, 0.09139932570077719, -0.17126149683439684, -0.013481400870988446, 0.37803212467040265, -0.06068218819376442, -0.1767731812211775, 0.17419381703760836, -0.2231915423406228, -0.09328622570084859, 0.13984558365172556, 0.13519316684875277, 0.07249732978581902, -0.024208341537873383, 0.10431727087125182, -0.05137521322936781, 0.19984970532598034, 0.019405073972959673, -0.00555164010992514, 0.18229171101364397, 0.12561881083003695, 0.04794393882996613, 0.09879585728049278, -0.09069392697645291, -0.0734561497991484, -0.3291771333304144, -0.08777308038345748, -0.14317532206975644, 0.09430136688573722, -0.09302558900052381, -0.14986729154723785, 0.3633773428207684, 0.19432464484500908, 0.1929717991410965, 0.040329722947471086, 0.29529321203909575, 0.18606882693110816, 0.003672120032171088, 0.09925151217668768, 0.30195370824526874, 0.20476495834488062, 0.1572101236140776, -0.2744043273190337, -0.008354104364538685, 0.011316796500355967] |
712.2087 | On the Berstein-Svarc Theorem in dimension 2 | We prove that for any group of the cohomological dimension $n$ the $n$th
power of the Berstein class of the group is nontrivial. This allows to prove
the following Berstein-Svarc theorem for all $n$:
Theorem. For a connected complex $X$ with $\dim X=\cat X=n$, the $n$th power
of the Berstein class of $X$ is nontrivial.
Previously it was known for $n\ge 3$.
We also prove that, for every map $f: M \to N$ of degree $\pm 1$ of closed
orientable manifolds, the fundamental group of $N$ is free provided that the
fundamental group of $M$ is.
| math.AT | we prove that for any group of the cohomological dimension n the nth power of the berstein class of the group is nontrivial this allows to prove the following bersteinsvarc theorem for all n theorem for a connected complex x with dim xcat xn the nth power of the berstein class of x is nontrivial previously it was known for nge 3 we also prove that for every map f m to n of degree pm 1 of closed orientable manifolds the fundamental group of n is free provided that the fundamental group of m is | [['we', 'prove', 'that', 'for', 'any', 'group', 'of', 'the', 'cohomological', 'dimension', 'n', 'the', 'nth', 'power', 'of', 'the', 'berstein', 'class', 'of', 'the', 'group', 'is', 'nontrivial', 'this', 'allows', 'to', 'prove', 'the', 'following', 'bersteinsvarc', 'theorem', 'for', 'all', 'n', 'theorem', 'for', 'a', 'connected', 'complex', 'x', 'with', 'dim', 'xcat', 'xn', 'the', 'nth', 'power', 'of', 'the', 'berstein', 'class', 'of', 'x', 'is', 'nontrivial', 'previously', 'it', 'was', 'known', 'for', 'nge', '3', 'we', 'also', 'prove', 'that', 'for', 'every', 'map', 'f', 'm', 'to', 'n', 'of', 'degree', 'pm', '1', 'of', 'closed', 'orientable', 'manifolds', 'the', 'fundamental', 'group', 'of', 'n', 'is', 'free', 'provided', 'that', 'the', 'fundamental', 'group', 'of', 'm', 'is']] | [-0.23649277287094217, 0.10414587206354267, -0.06445421618899624, 0.013683207812228877, -0.04260219932582818, -0.16334420515616474, -0.011390328828833606, 0.30339035785904056, -0.2730794170381207, -0.25185402296483517, 0.06499451372870489, -0.2742081871772442, -0.13311608472691946, 0.2273860483626394, -0.08588853429414724, -0.010586503089258546, -0.013448118065532885, 0.17758053510792945, -0.0402636016106331, -0.2861165329617889, 0.3747314668407566, -0.07621799907401988, 0.18039369474312192, 0.036944022877632, 0.14169198797929933, 0.015404082462191581, 0.012813532715173144, -0.019607511885758294, -0.14006763315188245, 0.12236907353722735, 0.25448694472250183, 0.08196847465771594, 0.22518008319955124, -0.31965297668725007, -0.17653600263752436, 0.2206475017898667, 0.11502747945487499, -0.029777668798832518, 0.007539270956706452, -0.225854896582467, 0.22424486523592158, -0.11709170935960413, -0.21703155664236923, -0.026985632334100573, 0.15038672620430588, -0.0008184376221738363, -0.2924571671621188, 0.008054735474472278, 0.14756133934777033, 0.04228545280271455, -0.012278903295947729, -0.131205490442287, -0.06458717308154231, 0.164247907535173, -0.023330999567712608, 0.08409282705795608, 0.027199250101234373, -0.061764656646961444, -0.07852549457947086, 0.36616104410863237, -0.04891939101446616, -0.1778938854015187, 0.07925636729127482, -0.2122433723195603, -0.22273729738632314, 0.14809630316142974, 0.07900484242280455, 0.17585081226731603, -0.015353872646626673, 0.22676342315481682, -0.15748949680281313, 0.17364164869252005, 0.058310205352149515, -0.020584269323827405, 0.060845287970120183, 0.10403124477322165, 0.13881476755057903, 0.11103672553834162, -0.028890956085371344, 0.05709064696474295, -0.3488664259839999, -0.24616369576634545, -0.19849171621945538, 0.20496197958280774, -0.14706091305829191, -0.11293546668204822, 0.34646055478798715, 0.04664789634315591, 0.13177642367388073, 0.14533976085091893, 0.20372518030436415, 0.09111414654670577, 0.004753994980925008, 0.11541211875645738, 0.09447482348860879, 0.19380978143430855, -0.04696185703536398, -0.15552509695683656, -0.024418700854048916, 0.16550421981925242] |
712.2088 | Financial Variables Effect on the U.S. Gross Private Domestic Investment
(GPDI) 1959-2001 | I studied what role the US stock markets and money markets have possibly
played in the Gross Private Domestic Investment (GPDI) of the United States
from the year 1959 to the year 2001, Gross Private Domestic Investment refers
to the total amount of investment spending by businesses and firms located
within the borders of a nation. It includes both the values of the purchases of
non-residential fixed investment, which include capital goods used for
production, and the values of the purchases of residential fixed investment,
which include construction spending for factories or offices. And I created a
Multiple Linear Regression Model of the GDPI. To see if companies and private
citizens use the stock market and money markets as a way of financing capital
projects (business ventures, buying commercial and noncommercial property,
etc).
Keywords: Gross Private Domestic Investment, Pearson Correlation, SP 500, TB3
| q-fin.GN stat.AP | i studied what role the us stock markets and money markets have possibly played in the gross private domestic investment gpdi of the united states from the year 1959 to the year 2001 gross private domestic investment refers to the total amount of investment spending by businesses and firms located within the borders of a nation it includes both the values of the purchases of nonresidential fixed investment which include capital goods used for production and the values of the purchases of residential fixed investment which include construction spending for factories or offices and i created a multiple linear regression model of the gdpi to see if companies and private citizens use the stock market and money markets as a way of financing capital projects business ventures buying commercial and noncommercial property etc keywords gross private domestic investment pearson correlation sp 500 tb3 | [['i', 'studied', 'what', 'role', 'the', 'us', 'stock', 'markets', 'and', 'money', 'markets', 'have', 'possibly', 'played', 'in', 'the', 'gross', 'private', 'domestic', 'investment', 'gpdi', 'of', 'the', 'united', 'states', 'from', 'the', 'year', '1959', 'to', 'the', 'year', '2001', 'gross', 'private', 'domestic', 'investment', 'refers', 'to', 'the', 'total', 'amount', 'of', 'investment', 'spending', 'by', 'businesses', 'and', 'firms', 'located', 'within', 'the', 'borders', 'of', 'a', 'nation', 'it', 'includes', 'both', 'the', 'values', 'of', 'the', 'purchases', 'of', 'nonresidential', 'fixed', 'investment', 'which', 'include', 'capital', 'goods', 'used', 'for', 'production', 'and', 'the', 'values', 'of', 'the', 'purchases', 'of', 'residential', 'fixed', 'investment', 'which', 'include', 'construction', 'spending', 'for', 'factories', 'or', 'offices', 'and', 'i', 'created', 'a', 'multiple', 'linear', 'regression', 'model', 'of', 'the', 'gdpi', 'to', 'see', 'if', 'companies', 'and', 'private', 'citizens', 'use', 'the', 'stock', 'market', 'and', 'money', 'markets', 'as', 'a', 'way', 'of', 'financing', 'capital', 'projects', 'business', 'ventures', 'buying', 'commercial', 'and', 'noncommercial', 'property', 'etc', 'keywords', 'gross', 'private', 'domestic', 'investment', 'pearson', 'correlation', 'sp', '500', 'tb3']] | [-0.06855378291860276, 0.04364619414645729, -0.06718663000732872, 0.15451910550184283, -0.07148558221400735, -0.18133882982392155, 0.17954533205678067, 0.3191730263279685, -0.25371014873178493, -0.29606372686367194, 0.17373007524292916, -0.3856337463007645, -0.04997377562112049, 0.14970349781594985, -0.1705632154641554, -0.014805893966695294, 0.02523387801306692, -0.021307893477195333, 0.14071774654625419, -0.3955740977329671, 0.287804530121069, 0.08528719056258968, 0.3227969169392125, 0.046890602683225736, 0.0982022871038751, 0.0500844015891776, -0.11939391739962041, -0.048798652081783356, -0.10260298630183047, 0.20942297897339593, 0.3590689154328607, 0.19138947693327218, 0.4505498022475141, -0.4570220639955596, -0.05991445661993889, 0.17703378319588378, -0.03395902223435911, -0.05009802278454897, 0.02486433065496385, -0.2648398217923464, -0.07049306866082079, -0.3567629133595537, -0.10737741691000918, -0.04810894302468985, 0.09471993520195392, 0.028592372957141475, -0.30545154848657813, 0.043106234175027576, -0.05601807156617337, 0.09588672588447254, -0.07335450760987158, -0.16236573833549486, -0.11951210334936672, 0.24454848753975322, 0.1468134338972456, -0.10638971961308138, 0.22381413564852154, -0.17663469036598525, -0.2004158925104074, 0.392872376274978, -0.021272136955290823, -0.052064798494919816, 0.0679914164555041, -0.1463164149268352, -0.08520268526502904, 0.039873298350061086, 0.2463876682908294, -0.042545466148789894, -0.18810472513568846, 0.0407040198040459, -0.06381093003912598, 0.13762494446445547, 0.144158356458094, -0.002490917702885807, 0.19754944813061268, 0.12389203865768005, 0.15307966488865965, 0.04486658296660117, -0.04423536353785126, -0.20914847636265113, -0.19716464239337766, -0.185162529892805, -0.12262667445069615, 0.08942395720485571, -0.09360089382507214, -0.15108247514292333, 0.35999523787528065, 0.08299470120208695, 0.054254940463269646, 0.048025957359073695, 0.24461093844832682, 0.0032317598460981927, 0.08359005831839213, 0.14305545908815048, 0.1432959152623377, -0.06843393958332215, 0.27650332297297553, -0.12253458629666121, 0.20468627006898746, -0.022270048198996917] |
712.2089 | Highly-asymmetric soliton complexes in parabolic optical lattices | We introduce multipole soliton complexes in optical lattices induced by
nondiffracting parabolic beams. Despite the symmetry-breaking dictated by the
curvature of the lattice channels, we find that complex, asymmetric
higher-order states can be stable. The unique topology of parabolic lattices
affords new types of soliton motion: single solitons launched into the lattice
with nonzero transverse momentum perform periodic oscillations along parabolic
paths.
| physics.optics nlin.PS | we introduce multipole soliton complexes in optical lattices induced by nondiffracting parabolic beams despite the symmetrybreaking dictated by the curvature of the lattice channels we find that complex asymmetric higherorder states can be stable the unique topology of parabolic lattices affords new types of soliton motion single solitons launched into the lattice with nonzero transverse momentum perform periodic oscillations along parabolic paths | [['we', 'introduce', 'multipole', 'soliton', 'complexes', 'in', 'optical', 'lattices', 'induced', 'by', 'nondiffracting', 'parabolic', 'beams', 'despite', 'the', 'symmetrybreaking', 'dictated', 'by', 'the', 'curvature', 'of', 'the', 'lattice', 'channels', 'we', 'find', 'that', 'complex', 'asymmetric', 'higherorder', 'states', 'can', 'be', 'stable', 'the', 'unique', 'topology', 'of', 'parabolic', 'lattices', 'affords', 'new', 'types', 'of', 'soliton', 'motion', 'single', 'solitons', 'launched', 'into', 'the', 'lattice', 'with', 'nonzero', 'transverse', 'momentum', 'perform', 'periodic', 'oscillations', 'along', 'parabolic', 'paths']] | [-0.2574536285152839, 0.2506991378482311, -0.05445171210674509, 0.04030482110477263, -0.13551102700312773, -0.16999648517418292, -0.016825984468713643, 0.4535338873073699, -0.32715730214371314, -0.13900445413685614, 0.01713178118581944, -0.2367207066065842, -0.10466262549462338, 0.17325975928050016, 0.01821633266104806, 0.04877080870491843, 0.10101306340807388, -0.025987079517254905, -0.04597381155021609, -0.17658746123432198, 0.3578120463194688, -0.036695675158332434, 0.2820781033125616, 0.019616762266284036, 0.09848843035738795, 0.05019800162934247, 0.042073836369860555, 0.018668104053264665, -0.20010541569741513, 0.11926037840256017, 0.16483908863512858, -0.07608682299107913, 0.16957880108947715, -0.44710447819482896, -0.24162208321954934, 0.09154028419194923, 0.16563971603529587, 0.183421422963992, -0.06781257274410417, -0.35565610851852164, 0.04981793736618373, -0.10237394815551178, -0.25548070690579594, -0.13579349171730778, 0.007888363028365758, 0.11014187938323425, -0.19294532320852723, 0.10023438893709212, 0.09462616973060874, 0.06027449831186283, -0.043878468053956184, -0.028277904456180912, -0.12042594010070447, 0.025690473465909882, -0.010941808427413624, -0.04030282483736594, 0.06174662225549259, -0.09340249557769106, -0.1858777835394346, 0.43073919631781116, -0.09951691362526148, -0.20184773115080692, 0.10186276091788445, -0.15038908876839183, -0.004967348845375161, 0.2404538583190691, 0.2033394479132708, 0.09137596517440773, -0.04343186678823024, 0.059798443442090385, -0.04160270583064806, 0.12019879581226457, 0.1690997187003133, 0.08333675013554673, 0.2608645537552694, 0.12353862640297701, 0.11489847463165079, 0.16669947137087282, -0.05651326711860395, -0.11973497411987234, -0.27152039035553893, -0.0871008955451074, -0.14140144713042724, 0.07028617229755788, -0.0668715582409453, -0.18481032081669377, 0.462921537338726, -0.005986839863321473, 0.19981273888580262, -0.05765285916746624, 0.21686715637934545, 0.0988893037842166, 0.09187016741282517, 0.05812564634975241, 0.24729865110824786, 0.1658024646345556, 0.08344376855154312, -0.26693089574109763, -0.11491249924555662, 0.1028559839450604] |
712.209 | Indeterminacy of Spatiotemporal Cardiac Alternans | Cardiac alternans, a beat-to-beat alternation in action potential duration
(at the cellular level) or in ECG morphology (at the whole heart level), is a
marker of ventricular fibrillation, a fatal heart rhythm that kills hundreds of
thousands of people in the US each year. Investigating cardiac alternans may
lead to a better understanding of the mechanisms of cardiac arrhythmias and
eventually better algorithms for the prediction and prevention of such dreadful
diseases. In paced cardiac tissue, alternans develops under increasingly
shorter pacing period. Existing experimental and theoretical studies adopt the
assumption that alternans in homogeneous cardiac tissue is exclusively
determined by the pacing period. In contrast, we find that, when calcium-driven
alternans develops in cardiac fibers, it may take different spatiotemporal
patterns depending on the pacing history. Because there coexist multiple
alternans solutions for a given pacing period, the alternans pattern on a fiber
becomes unpredictable. Using numerical simulation and theoretical analysis, we
show that the coexistence of multiple alternans patterns is induced by the
interaction between electrotonic coupling and an instability in calcium
cycling.
| physics.bio-ph | cardiac alternans a beattobeat alternation in action potential duration at the cellular level or in ecg morphology at the whole heart level is a marker of ventricular fibrillation a fatal heart rhythm that kills hundreds of thousands of people in the us each year investigating cardiac alternans may lead to a better understanding of the mechanisms of cardiac arrhythmias and eventually better algorithms for the prediction and prevention of such dreadful diseases in paced cardiac tissue alternans develops under increasingly shorter pacing period existing experimental and theoretical studies adopt the assumption that alternans in homogeneous cardiac tissue is exclusively determined by the pacing period in contrast we find that when calciumdriven alternans develops in cardiac fibers it may take different spatiotemporal patterns depending on the pacing history because there coexist multiple alternans solutions for a given pacing period the alternans pattern on a fiber becomes unpredictable using numerical simulation and theoretical analysis we show that the coexistence of multiple alternans patterns is induced by the interaction between electrotonic coupling and an instability in calcium cycling | [['cardiac', 'alternans', 'a', 'beattobeat', 'alternation', 'in', 'action', 'potential', 'duration', 'at', 'the', 'cellular', 'level', 'or', 'in', 'ecg', 'morphology', 'at', 'the', 'whole', 'heart', 'level', 'is', 'a', 'marker', 'of', 'ventricular', 'fibrillation', 'a', 'fatal', 'heart', 'rhythm', 'that', 'kills', 'hundreds', 'of', 'thousands', 'of', 'people', 'in', 'the', 'us', 'each', 'year', 'investigating', 'cardiac', 'alternans', 'may', 'lead', 'to', 'a', 'better', 'understanding', 'of', 'the', 'mechanisms', 'of', 'cardiac', 'arrhythmias', 'and', 'eventually', 'better', 'algorithms', 'for', 'the', 'prediction', 'and', 'prevention', 'of', 'such', 'dreadful', 'diseases', 'in', 'paced', 'cardiac', 'tissue', 'alternans', 'develops', 'under', 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712.2091 | Asymptotic distributions and chaos for the supermarket model | In the supermarket model there are n queues, each with a unit rate server.
Customers arrive in a Poisson process at rate \lambda n, where 0<\lambda <1.
Each customer chooses d > 2 queues uniformly at random, and joins a shortest
one. It is known that the equilibrium distribution of a typical queue length
converges to a certain explicit limiting distribution as n -> oo. We quantify
the rate of convergence by showing that the total variation distance between
the equilibrium distribution and the limiting distribution is essentially of
order n^{-1}; and we give a corresponding result for systems starting from
quite general initial conditions (not in equilibrium). Further, we quantify the
result that the systems exhibit chaotic behaviour: we show that the total
variation distance between the joint law of a fixed set of queue lengths and
the corresponding product law is essentially of order at most n^{-1}.
| math.PR | in the supermarket model there are n queues each with a unit rate server customers arrive in a poisson process at rate lambda n where 0lambda 1 each customer chooses d 2 queues uniformly at random and joins a shortest one it is known that the equilibrium distribution of a typical queue length converges to a certain explicit limiting distribution as n oo we quantify the rate of convergence by showing that the total variation distance between the equilibrium distribution and the limiting distribution is essentially of order n1 and we give a corresponding result for systems starting from quite general initial conditions not in equilibrium further we quantify the result that the systems exhibit chaotic behaviour we show that the total variation distance between the joint law of a fixed set of queue lengths and the corresponding product law is essentially of order at most n1 | [['in', 'the', 'supermarket', 'model', 'there', 'are', 'n', 'queues', 'each', 'with', 'a', 'unit', 'rate', 'server', 'customers', 'arrive', 'in', 'a', 'poisson', 'process', 'at', 'rate', 'lambda', 'n', 'where', '0lambda', '1', 'each', 'customer', 'chooses', 'd', '2', 'queues', 'uniformly', 'at', 'random', 'and', 'joins', 'a', 'shortest', 'one', 'it', 'is', 'known', 'that', 'the', 'equilibrium', 'distribution', 'of', 'a', 'typical', 'queue', 'length', 'converges', 'to', 'a', 'certain', 'explicit', 'limiting', 'distribution', 'as', 'n', 'oo', 'we', 'quantify', 'the', 'rate', 'of', 'convergence', 'by', 'showing', 'that', 'the', 'total', 'variation', 'distance', 'between', 'the', 'equilibrium', 'distribution', 'and', 'the', 'limiting', 'distribution', 'is', 'essentially', 'of', 'order', 'n1', 'and', 'we', 'give', 'a', 'corresponding', 'result', 'for', 'systems', 'starting', 'from', 'quite', 'general', 'initial', 'conditions', 'not', 'in', 'equilibrium', 'further', 'we', 'quantify', 'the', 'result', 'that', 'the', 'systems', 'exhibit', 'chaotic', 'behaviour', 'we', 'show', 'that', 'the', 'total', 'variation', 'distance', 'between', 'the', 'joint', 'law', 'of', 'a', 'fixed', 'set', 'of', 'queue', 'lengths', 'and', 'the', 'corresponding', 'product', 'law', 'is', 'essentially', 'of', 'order', 'at', 'most', 'n1']] | [-0.1760844890230975, 0.11532639839914532, -0.11027010172276067, 0.057483498217381294, 0.020542835389092868, -0.1756112242187215, 0.10865250958421198, 0.35758409028251964, -0.2946682939674946, -0.2665951590427533, 0.09160586544486764, -0.31485177366519157, -0.07344774927050636, 0.1222768704783881, -0.038520214654707986, 0.05229841167389156, 0.04023918665654096, 0.11762863898104957, -0.01739121970980346, -0.2627565063358772, 0.3086962141540079, 0.025382106388811353, 0.2652598777785897, -0.014141978526909259, 0.10501912271375863, 0.005309315352006911, 0.020423015855176717, -0.008481440197701763, -0.15392457951136648, 0.05454241706186677, 0.21205465225692915, 0.11829436705986253, 0.2674532174988061, -0.36049961722154983, -0.14170124862963954, 0.1366686780064297, 0.1335291526863212, 0.0475816697351077, 0.028177526963203133, -0.17126037245362896, 0.12633320963529704, -0.17148707857748277, -0.16103713273317838, 0.032438083710212284, 0.09950008956386017, 0.09217095850700778, -0.3146171361543745, 0.04977708013386142, 0.08530146055252982, 0.01622281347711881, -0.05198815135050844, -0.11274717749669819, -0.034143019662409714, 0.17539605735896194, 0.06735355657391523, 0.026595749971488503, 0.11662183628499913, -0.08498378141092605, -0.0759762307109476, 0.37757406690392364, -0.0761480148181598, -0.18298990133560586, 0.15747488350259, -0.1618157943210178, -0.13708246928215229, 0.13140726285878898, 0.13929090884571171, 0.12984358345930144, -0.14917020177544685, 0.07417444154132335, -0.06344542954969189, 0.16859237537687632, 0.10838633177320467, 0.026457239874103266, 0.15468726332495814, 0.15843710825354063, 0.15388630095514513, 0.14712461460140996, -0.05942453846310069, -0.15158491038723665, -0.3485723944051432, -0.1313382488212922, -0.2082345130770993, 0.10895929308491363, -0.16354120073192213, -0.13426101265386456, 0.32011687775858405, 0.11533618151355966, 0.2449930336161637, 0.17028449176411545, 0.23081103668605185, 0.14349224569672342, -0.007953337019904942, 0.14977060431348427, 0.11738888541914422, 0.07509747609974449, 0.08823123968009945, -0.195570665749018, 0.11822214728335337, 0.055638544489534536] |
712.2092 | Bessel models for $GSp(4)$ | Methods of theta correspondence are used to analyze local and global Bessel
models for $GSp(4)$ proving a conjecture of Gross and Prasad which describes
these models in terms of local epsilon factors in the local case, and the
non-vanishing of central critical $L$-value in the global case.
| math.NT math.RT | methods of theta correspondence are used to analyze local and global bessel models for gsp4 proving a conjecture of gross and prasad which describes these models in terms of local epsilon factors in the local case and the nonvanishing of central critical lvalue in the global case | [['methods', 'of', 'theta', 'correspondence', 'are', 'used', 'to', 'analyze', 'local', 'and', 'global', 'bessel', 'models', 'for', 'gsp4', 'proving', 'a', 'conjecture', 'of', 'gross', 'and', 'prasad', 'which', 'describes', 'these', 'models', 'in', 'terms', 'of', 'local', 'epsilon', 'factors', 'in', 'the', 'local', 'case', 'and', 'the', 'nonvanishing', 'of', 'central', 'critical', 'lvalue', 'in', 'the', 'global', 'case']] | [-0.16530723166354794, -0.0057679703310528335, -0.09050022832494467, 0.11905875861486222, 0.03195986497473526, -0.11074070260919472, 0.004483562894165516, 0.24772410522750082, -0.26303453787051617, -0.2638363632314066, 0.08266220961330815, -0.2132875242399329, -0.17151362172506274, 0.19102212271474778, -0.08072981662414175, 0.0821570627430969, -0.04010252489094088, 0.05717431345677122, -0.09733112955941482, -0.28430386866502305, 0.3617453722164352, 0.002254915899260247, 0.2488376384878412, 0.06960638422281185, 0.06033580890916129, 0.023284751594938497, -0.0644440870890592, -0.03179317909946784, -0.15085120556598647, 0.1593214531647081, 0.24725738987825102, 0.08168354446187298, 0.23728772790785482, -0.4228582928908315, -0.14807779756572811, 0.185082145253236, 0.11615932618386726, 0.060197443887095976, 0.03362004584236507, -0.2558520625226517, 0.117630778811872, -0.15655597858130932, -0.2035363247974756, -0.12762567262224694, 0.04528405311259818, 0.0735180322477158, -0.31938952350236, 0.13831128820063585, 0.1193528895841, 0.08547793998521694, -0.1101843339509945, -0.11238797298295701, -0.026577439704077676, 0.14511370360653134, 0.08952339084700067, 0.046112360561543955, 0.07047208958364864, -0.23540846590309383, -0.09614343725224124, 0.34673909601220426, -0.06711133569478989, -0.17451325389358432, 0.16510376571974855, -0.19008981630681676, -0.16339007126008895, 0.02188392276776598, 0.14330558960345832, 0.136580977113323, -0.05669875811547675, 0.14997799939877215, -0.08930988873335276, 0.0636889194237425, 0.10599857361670187, -0.0235768180102744, 0.15204303307419129, 0.0374595674270011, 0.06241845850773314, 0.10840538203557755, -0.03921090034976047, -0.10289683845141863, -0.34319726643251613, -0.1782846534426542, -0.12411244603943952, 0.05618271231651306, -0.1309620669260844, -0.13881784685431642, 0.4306687652430636, 0.08115907192745424, 0.19508754093437752, 0.058677480102794125, 0.19440743271657762, 0.138762841522545, 0.046701166085264784, 0.06472251228393709, 0.2108550698129817, 0.18984142397629453, 0.07384198495840773, -0.15266501737084795, 0.047266193526856445, 0.18801747038564148] |
712.2093 | Effective Lagrangian of unitary Fermi gas from $\varepsilon$ expansion | Using $\varepsilon$ expansion technique proposed in \cite{Nishida:2006br} we
derive an effective Lagrangian (Ginzburg-Landau-like functional) of the
degenerate unitary Fermi gas to the next-to-leading (NLO) order in
$\varepsilon.$ It is demonstrated that for many realistic situations it is
sufficient to retain leading order (LO) terms in the derivative expansion. The
functional is used to study vortex structure in the symmetric gas, and
interface between normal and superfluid phases in the polarized gas. The
resulting surface free energy is about four times larger than the value
previously quoted in the literature.
| nucl-th cond-mat.other | using varepsilon expansion technique proposed in citenishida2006br we derive an effective lagrangian ginzburglandaulike functional of the degenerate unitary fermi gas to the nexttoleading nlo order in varepsilon it is demonstrated that for many realistic situations it is sufficient to retain leading order lo terms in the derivative expansion the functional is used to study vortex structure in the symmetric gas and interface between normal and superfluid phases in the polarized gas the resulting surface free energy is about four times larger than the value previously quoted in the literature | [['using', 'varepsilon', 'expansion', 'technique', 'proposed', 'in', 'citenishida2006br', 'we', 'derive', 'an', 'effective', 'lagrangian', 'ginzburglandaulike', 'functional', 'of', 'the', 'degenerate', 'unitary', 'fermi', 'gas', 'to', 'the', 'nexttoleading', 'nlo', 'order', 'in', 'varepsilon', 'it', 'is', 'demonstrated', 'that', 'for', 'many', 'realistic', 'situations', 'it', 'is', 'sufficient', 'to', 'retain', 'leading', 'order', 'lo', 'terms', 'in', 'the', 'derivative', 'expansion', 'the', 'functional', 'is', 'used', 'to', 'study', 'vortex', 'structure', 'in', 'the', 'symmetric', 'gas', 'and', 'interface', 'between', 'normal', 'and', 'superfluid', 'phases', 'in', 'the', 'polarized', 'gas', 'the', 'resulting', 'surface', 'free', 'energy', 'is', 'about', 'four', 'times', 'larger', 'than', 'the', 'value', 'previously', 'quoted', 'in', 'the', 'literature']] | [-0.122593979284416, 0.10746322763407079, -0.09272779995676088, 0.09330826011930847, -0.0302202945723283, -0.057874688084914604, -0.008707860410636798, 0.35871751697480003, -0.210591868621784, -0.2869171788069335, 0.05492409761857495, -0.2843931370668791, -0.08639054364440116, 0.14898709023889917, 0.017479866870086302, 0.06654812608824366, -0.039455478894524276, 0.03818077754377472, -0.1106422681881337, -0.2693590206829619, 0.3043147084641863, 0.025684805745682257, 0.26625362057662144, 0.06743027732326565, 0.07497476763091981, -0.04426022043017755, 0.01302124261697331, -0.02783342938743193, -0.17651234633616364, 0.09715836520560762, 0.26006524869642983, -0.04012925647707148, 0.2125911814615723, -0.42894264788959513, -0.18381353401028636, 0.07359929010272026, 0.12042412752899426, 0.12229578449941156, 0.01999738352606073, -0.23943522648716514, 0.06979982639578255, -0.23893851627318244, -0.1832608506612649, -0.11698215365917845, 0.016595201079987666, -0.04237675700410777, -0.26021259656739526, 0.13837648149604898, 0.017794728511944413, 0.002146636053856293, -0.040506786259356886, -0.11799847228791226, -0.03668814105913043, 0.07901821230453523, 0.06236810520799323, 0.07796394600353035, 0.12171914544457897, -0.1473756885283034, -0.012242487017911944, 0.40730639678341424, -0.10797760229301771, -0.17235926740845156, 0.17450417651244524, -0.2054520303951325, -0.0878508636219935, 0.1882734989853196, 0.1285648271653124, 0.10693737163819605, -0.15729612392566528, 0.10500322308640038, -0.0022869318173351612, 0.16870371699306733, 0.0831307331788015, 0.014596000755607913, 0.13720131978995845, 0.13767176128087819, 0.07648723696250025, 0.10042701594383371, -0.07634110204592369, -0.13377503286623818, -0.3202128648884933, -0.16661697254643182, -0.16433294138087975, -0.008908840309066529, -0.08822471034595351, -0.14650104611858047, 0.3493930027312176, 0.1461623160456921, 0.17528982698323406, -0.024546424149196933, 0.3113955968398262, 0.17281445982371224, 0.0724708402836272, 0.10317879780962937, 0.2403313787389462, 0.15633633440169928, 0.052277516277337614, -0.2367670780010733, 0.05058788788102737, 0.09868113711920821] |
712.2094 | Hinged Dissections Exist | We prove that any finite collection of polygons of equal area has a common
hinged dissection. That is, for any such collection of polygons there exists a
chain of polygons hinged at vertices that can be folded in the plane
continuously without self-intersection to form any polygon in the collection.
This result settles the open problem about the existence of hinged dissections
between pairs of polygons that goes back implicitly to 1864 and has been
studied extensively in the past ten years. Our result generalizes and indeed
builds upon the result from 1814 that polygons have common dissections (without
hinges). We also extend our common dissection result to edge-hinged dissections
of solid 3D polyhedra that have a common (unhinged) dissection, as determined
by Dehn's 1900 solution to Hilbert's Third Problem. Our proofs are
constructive, giving explicit algorithms in all cases. For a constant number of
planar polygons, both the number of pieces and running time required by our
construction are pseudopolynomial. This bound is the best possible, even for
unhinged dissections. Hinged dissections have possible applications to
reconfigurable robotics, programmable matter, and nanomanufacturing.
| cs.CG | we prove that any finite collection of polygons of equal area has a common hinged dissection that is for any such collection of polygons there exists a chain of polygons hinged at vertices that can be folded in the plane continuously without selfintersection to form any polygon in the collection this result settles the open problem about the existence of hinged dissections between pairs of polygons that goes back implicitly to 1864 and has been studied extensively in the past ten years our result generalizes and indeed builds upon the result from 1814 that polygons have common dissections without hinges we also extend our common dissection result to edgehinged dissections of solid 3d polyhedra that have a common unhinged dissection as determined by dehns 1900 solution to hilberts third problem our proofs are constructive giving explicit algorithms in all cases for a constant number of planar polygons both the number of pieces and running time required by our construction are pseudopolynomial this bound is the best possible even for unhinged dissections hinged dissections have possible applications to reconfigurable robotics programmable matter and nanomanufacturing | [['we', 'prove', 'that', 'any', 'finite', 'collection', 'of', 'polygons', 'of', 'equal', 'area', 'has', 'a', 'common', 'hinged', 'dissection', 'that', 'is', 'for', 'any', 'such', 'collection', 'of', 'polygons', 'there', 'exists', 'a', 'chain', 'of', 'polygons', 'hinged', 'at', 'vertices', 'that', 'can', 'be', 'folded', 'in', 'the', 'plane', 'continuously', 'without', 'selfintersection', 'to', 'form', 'any', 'polygon', 'in', 'the', 'collection', 'this', 'result', 'settles', 'the', 'open', 'problem', 'about', 'the', 'existence', 'of', 'hinged', 'dissections', 'between', 'pairs', 'of', 'polygons', 'that', 'goes', 'back', 'implicitly', 'to', '1864', 'and', 'has', 'been', 'studied', 'extensively', 'in', 'the', 'past', 'ten', 'years', 'our', 'result', 'generalizes', 'and', 'indeed', 'builds', 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712.2095 | Fractional quantum Hall effect at $\nu = 5/2$: Ground states,
non-Abelian quasiholes, and edge modes in a microscopic model | We present a comprehensive numerical study of a microscopic model of the
fractional quantum Hall system at filling fraction $\nu = 5/2$, based on the
disc geometry. Our model includes Coulomb interaction and a semi-realistic
confining potential. We also mix in some three-body interaction in some cases
to help elucidate the physics. We obtain a phase diagram, discuss the
conditions under which the ground state can be described by the Moore-Read
state, and study its competition with neighboring stripe phases. We also study
quasihole excitations and edge excitations in the Moore-Read--like state. From
the evolution of edge spectrum, we obtain the velocities of the charge and
neutral edge modes, which turn out to be very different. This separation of
velocities is a source of decoherence for a non-Abelian quasihole/quasiparticle
(with charge $\pm e/4$) when propagating at the edge; using numbers obtained
from a specific set of parameters we estimate the decoherence length to be
around four microns. This sets an upper bound for the separation of the two
point contacts in a double point contact interferometer, designed to detect the
non-Abelian nature of such quasiparticles. We also find a state that is a
potential candidate for the recently proposed anti-Pfaffian state. We find the
speculated anti-Pfaffian state is favored in weak confinement (smooth edge)
while the Moore-Read Pfaffian state is favored in strong confinement (sharp
edge).
| cond-mat.mes-hall cond-mat.str-el | we present a comprehensive numerical study of a microscopic model of the fractional quantum hall system at filling fraction nu 52 based on the disc geometry our model includes coulomb interaction and a semirealistic confining potential we also mix in some threebody interaction in some cases to help elucidate the physics we obtain a phase diagram discuss the conditions under which the ground state can be described by the mooreread state and study its competition with neighboring stripe phases we also study quasihole excitations and edge excitations in the moorereadlike state from the evolution of edge spectrum we obtain the velocities of the charge and neutral edge modes which turn out to be very different this separation of velocities is a source of decoherence for a nonabelian quasiholequasiparticle with charge pm e4 when propagating at the edge using numbers obtained from a specific set of parameters we estimate the decoherence length to be around four microns this sets an upper bound for the separation of the two point contacts in a double point contact interferometer designed to detect the nonabelian nature of such quasiparticles we also find a state that is a potential candidate for the recently proposed antipfaffian state we find the speculated antipfaffian state is favored in weak confinement smooth edge while the mooreread pfaffian state is favored in strong confinement sharp edge | [['we', 'present', 'a', 'comprehensive', 'numerical', 'study', 'of', 'a', 'microscopic', 'model', 'of', 'the', 'fractional', 'quantum', 'hall', 'system', 'at', 'filling', 'fraction', 'nu', '52', 'based', 'on', 'the', 'disc', 'geometry', 'our', 'model', 'includes', 'coulomb', 'interaction', 'and', 'a', 'semirealistic', 'confining', 'potential', 'we', 'also', 'mix', 'in', 'some', 'threebody', 'interaction', 'in', 'some', 'cases', 'to', 'help', 'elucidate', 'the', 'physics', 'we', 'obtain', 'a', 'phase', 'diagram', 'discuss', 'the', 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'point', 'contacts', 'in', 'a', 'double', 'point', 'contact', 'interferometer', 'designed', 'to', 'detect', 'the', 'nonabelian', 'nature', 'of', 'such', 'quasiparticles', 'we', 'also', 'find', 'a', 'state', 'that', 'is', 'a', 'potential', 'candidate', 'for', 'the', 'recently', 'proposed', 'antipfaffian', 'state', 'we', 'find', 'the', 'speculated', 'antipfaffian', 'state', 'is', 'favored', 'in', 'weak', 'confinement', 'smooth', 'edge', 'while', 'the', 'mooreread', 'pfaffian', 'state', 'is', 'favored', 'in', 'strong', 'confinement', 'sharp', 'edge']] | [-0.16886055019780802, 0.18140539546954773, -0.10294901743535385, 0.06711243879336896, -0.026675509005144704, -0.14624121894303244, 0.09724181467442707, 0.32994365083037075, -0.236611641188834, -0.2904655173084133, 0.05008187356725102, -0.28292586103634676, -0.11195439620730342, 0.12713485141700534, 0.027258567025585632, 0.011620719893991398, 0.03374205293948762, 0.02594148948368716, -0.07313539431613338, -0.18983651998652412, 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712.2096 | An Example of Constructing Versal Deformation for Leibniz Algebras | In this work we compute a versal deformation of the three dimensional
nilpotent Leibniz algebra over $\mathbb{C}$, defined by the nontrivial brackets
$[e_1,e_3]=e_2$ and $[e_3,e_3]=e_1$.
| math.QA | in this work we compute a versal deformation of the three dimensional nilpotent leibniz algebra over mathbbc defined by the nontrivial brackets e_1e_3e_2 and e_3e_3e_1 | [['in', 'this', 'work', 'we', 'compute', 'a', 'versal', 'deformation', 'of', 'the', 'three', 'dimensional', 'nilpotent', 'leibniz', 'algebra', 'over', 'mathbbc', 'defined', 'by', 'the', 'nontrivial', 'brackets', 'e_1e_3e_2', 'and', 'e_3e_3e_1']] | [-0.21769613379855518, 0.04069459264207145, -0.025009976376010025, -0.010745969909729192, -0.13328893183042173, -0.08451557663552788, -0.07656974912337634, 0.3282006402378497, -0.38900035099409846, -0.14698015655512395, 0.07221692354600552, -0.15777276790417408, -0.2218380790689717, 0.1531304127091299, -0.17562996519162602, -0.03833130321910848, 0.024269640546939943, 0.12281043610899993, -0.21183323704273158, -0.30994794525853964, 0.4815309209668118, -0.048510802342839866, 0.17450304548053638, -0.026655155760438545, 0.18103820283937713, 0.016062443509050037, -0.012510379320820388, -0.0062253679270329685, -0.20968326954575983, 0.1203491476404926, 0.33710192322083143, -0.036562873374508774, 0.1761437220417935, -0.3648837659022082, -0.0860304566424178, 0.18731702690053245, 0.20868175703546274, -0.04355436417719592, 0.03638706862440576, -0.23832975295574768, 0.048017380718627704, -0.3073013104174448, -0.1340170171638222, -0.12926528910579888, 0.10636848251780738, -0.06476706061917155, -0.15938288681006627, 0.019787945460690105, 0.10155391111038625, 0.17427520676637473, -0.1746056125215862, -0.04994100320934946, -0.12577662333522155, 0.011740618243651546, -0.08763306677017522, 0.011972775399360968, 0.11674584798595827, -0.02986158126283123, -0.19826652708908785, 0.39271714522138884, 0.016089659589140312, -0.2614561053721801, 0.05806443775477617, -0.20979081096289598, -0.22084368392825127, 0.09529083740452061, 0.045521427107893905, 0.21270108619785827, -0.05930637062081824, 0.26913517061367875, -0.08503561070107896, -0.07547242411047868, 0.15488930552711952, -0.09365112302095993, 0.1498469751652168, 0.13374228297692278, 0.010896573936485725, 0.09256776815037364, 0.05717098409228999, -0.045596549732853535, -0.4121614496992982, -0.22948620241621268, -0.11043852579820415, 0.1954119932918769, -0.12885685902754473, -0.1568339795846006, 0.5037155870510184, 0.13733117277075982, 0.20398051799882366, 0.12224754711370105, 0.21487478371304664, 0.09147550611068374, 0.19758075378511264, 0.03572787490227948, 0.12282236438730489, 0.23799532782488866, -0.023824546025539545, -0.15289155296657397, -0.18490106703551568, 0.26156915639243694] |
712.2097 | Chaotic oscillations in a map-based model of neural activity | We propose a discrete time dynamical system (a map) as phenomenological model
of excitable and spiking-bursting neurons. The model is a discontinuous
two-dimensional map. We find condition under which this map has an invariant
region on the phase plane, containing chaotic attractor. This attractor creates
chaotic spiking-bursting oscillations of the model. We also show various
regimes of other neural activities (subthreshold oscillations, phasic spiking
etc.) derived from the proposed model.
| q-bio.NC nlin.CD | we propose a discrete time dynamical system a map as phenomenological model of excitable and spikingbursting neurons the model is a discontinuous twodimensional map we find condition under which this map has an invariant region on the phase plane containing chaotic attractor this attractor creates chaotic spikingbursting oscillations of the model we also show various regimes of other neural activities subthreshold oscillations phasic spiking etc derived from the proposed model | [['we', 'propose', 'a', 'discrete', 'time', 'dynamical', 'system', 'a', 'map', 'as', 'phenomenological', 'model', 'of', 'excitable', 'and', 'spikingbursting', 'neurons', 'the', 'model', 'is', 'a', 'discontinuous', 'twodimensional', 'map', 'we', 'find', 'condition', 'under', 'which', 'this', 'map', 'has', 'an', 'invariant', 'region', 'on', 'the', 'phase', 'plane', 'containing', 'chaotic', 'attractor', 'this', 'attractor', 'creates', 'chaotic', 'spikingbursting', 'oscillations', 'of', 'the', 'model', 'we', 'also', 'show', 'various', 'regimes', 'of', 'other', 'neural', 'activities', 'subthreshold', 'oscillations', 'phasic', 'spiking', 'etc', 'derived', 'from', 'the', 'proposed', 'model']] | [-0.193233377193766, 0.12687411369011636, -0.1031823263503611, 0.062147517893130756, 0.0021004716433318596, -0.19222860716981813, 0.05924143654161266, 0.32318974185202803, -0.28701944476259605, -0.20766351842986686, 0.06213883710359888, -0.2590220476367644, -0.3120586098570909, 0.17840042633137532, -0.05410670422923951, 0.07347891668656042, 0.042631063633598386, 0.046078928197467964, -0.0030393989091472965, -0.12661104272784932, 0.2735998288063066, -0.00557403319648334, 0.2854531733385686, -0.06034220006466577, 0.17507263988788638, -0.12105815910534667, 0.04021156681701541, -0.0334256593936256, -0.13450358439211932, 0.006386310128229005, 0.1731220456605245, 0.08619952296472287, 0.21232846815671239, -0.4466466398643596, -0.30689737066360456, 0.16320289468525775, 0.15984612375032156, 0.12868510110004405, -0.04835637124820746, -0.33257541665807366, 0.04847358325496316, -0.16622433616513652, -0.10510467552979078, -0.09573747827006238, 0.033818157802202875, 0.02841849669681064, -0.29035456337566884, 0.09858208957884926, 0.09182468321897821, 0.09093927228823304, -0.08304371858414794, 0.023701279931369106, -0.06374664787768519, 0.10479097373650542, -0.015537625534592994, 0.051510842902851954, 0.16937212363949844, -0.10769356900959143, -0.08384166011320693, 0.30725354614800643, -0.09323798745504713, -0.2062186185802732, 0.19821168481971005, -0.14159111730488283, -0.1336569383474333, 0.10442146444693208, 0.19663910695484707, 0.06648194817826152, -0.16386938338567103, 0.06916592839489957, -0.09772631631764983, 0.18799617942422628, 0.013597773667424918, -0.00706845112144947, 0.1989528710687799, 0.25469144359230994, 0.049417877662926914, 0.1855525347146405, -0.11165561596696665, -0.14337863381952048, -0.27725894624101266, -0.007832845393568277, -0.0819982860786175, 0.033595246781728094, -0.10226676535239676, -0.2195572008777942, 0.5015064400487712, 0.14436771281595742, 0.2503553940382387, 0.06642247602909006, 0.25697594599000045, 0.14956536755863845, 0.02058789570416723, 0.053425334048058305, 0.19840292017906905, 0.07898270703319993, 0.13862080608128702, -0.2220061760828165, 0.035904083434226255, 0.10104561208614281] |
712.2098 | Phase field simulations of coupled phase transformations in
ferroelastic-ferroelastic nanocomposites | We use phase field simulations to study composites made of two different
ferroelastics (e.g., two types of martensite). The deformation of one material
due to a phase transformation can elastically affect the other constituent and
induce it to transform as well. We show that the phase transformation can then
occur above its normal critical temperature and even higher above this
temperature in nanocomposites than in bulk composites. Microstructures depend
on temperature, on the thickness of the layers, and on the crystal structure of
the two constituents -- certain nanocomposites exhibit a great diversity of
microstructures not found in bulk composites. Also, the periodicity of the
martensite twins may vary over 1 order of magnitude based on geometry.
keywords: Ginzburg-Landau, martensitic transformation, multi-ferroics,
nanostructure, shape-memory alloy
| cond-mat.mtrl-sci | we use phase field simulations to study composites made of two different ferroelastics eg two types of martensite the deformation of one material due to a phase transformation can elastically affect the other constituent and induce it to transform as well we show that the phase transformation can then occur above its normal critical temperature and even higher above this temperature in nanocomposites than in bulk composites microstructures depend on temperature on the thickness of the layers and on the crystal structure of the two constituents certain nanocomposites exhibit a great diversity of microstructures not found in bulk composites also the periodicity of the martensite twins may vary over 1 order of magnitude based on geometry keywords ginzburglandau martensitic transformation multiferroics nanostructure shapememory alloy | [['we', 'use', 'phase', 'field', 'simulations', 'to', 'study', 'composites', 'made', 'of', 'two', 'different', 'ferroelastics', 'eg', 'two', 'types', 'of', 'martensite', 'the', 'deformation', 'of', 'one', 'material', 'due', 'to', 'a', 'phase', 'transformation', 'can', 'elastically', 'affect', 'the', 'other', 'constituent', 'and', 'induce', 'it', 'to', 'transform', 'as', 'well', 'we', 'show', 'that', 'the', 'phase', 'transformation', 'can', 'then', 'occur', 'above', 'its', 'normal', 'critical', 'temperature', 'and', 'even', 'higher', 'above', 'this', 'temperature', 'in', 'nanocomposites', 'than', 'in', 'bulk', 'composites', 'microstructures', 'depend', 'on', 'temperature', 'on', 'the', 'thickness', 'of', 'the', 'layers', 'and', 'on', 'the', 'crystal', 'structure', 'of', 'the', 'two', 'constituents', 'certain', 'nanocomposites', 'exhibit', 'a', 'great', 'diversity', 'of', 'microstructures', 'not', 'found', 'in', 'bulk', 'composites', 'also', 'the', 'periodicity', 'of', 'the', 'martensite', 'twins', 'may', 'vary', 'over', '1', 'order', 'of', 'magnitude', 'based', 'on', 'geometry', 'keywords', 'ginzburglandau', 'martensitic', 'transformation', 'multiferroics', 'nanostructure', 'shapememory', 'alloy']] | [-0.11646087956990325, 0.22251942820636736, -0.05942129143213312, -0.011592369944405472, -0.07139183170793037, -0.09761984790149596, 0.03770138829525921, 0.4487755474664511, -0.2930631251675227, -0.30764810390199626, 0.08055070756123431, -0.26267041408667163, -0.18562904690136953, 0.1678456798976948, -0.01146675652313617, 0.005020704634408767, -0.06258377232288401, -0.003733557036837503, -0.14285173539763257, -0.22787807742321503, 0.28614599267471463, -0.02919759008011991, 0.3483441419873176, 0.029585634403291247, 0.05781385741917597, -0.02556444331534177, 0.09156961124878557, 0.0505040303856555, -0.15231303660596407, 0.03195258901048932, 0.20184334537254706, -0.04378075542814669, 0.14420002409174376, -0.4656395775175864, -0.2438369518100855, 0.0659866507705902, 0.10169215182125504, 0.07428411420645012, -0.04025195874348884, -0.21308127096328403, 0.08859707249869261, -0.10327890335071471, -0.10560388688534131, -0.0755455577220287, -0.040480361566991516, 0.039145527353074645, -0.18057551810606157, 0.07393707140471956, 0.0841922594540407, 0.07122257953385762, -0.12331113930990649, -0.1625375589374603, -0.0733775764369526, 0.0630246443765974, 0.06408178802549598, -0.01410141013254742, 0.20903064849511382, -0.12394930774368526, -0.05385556900610907, 0.410268064663415, -0.008220929648345074, -0.11707180145857556, 0.210735306423533, -0.16790823401102134, -0.08390638314097398, 0.17096088266360662, 0.17646257402027973, 0.09399848853260459, -0.11710165639364746, 0.014758592879403412, 0.045725499253509744, 0.2281306033668619, 0.12548286560171795, 0.037685017593415276, 0.21505908029259094, 0.20636480019968603, -0.018843411241710607, 0.1749123457162979, -0.05056633541525732, -0.057050531328235184, -0.221288638211967, -0.21885873580111131, -0.1917005927084134, 0.01285018939750209, -0.16049349004547805, -0.23481405521329912, 0.3965873297288894, 0.1357409571487111, 0.16964995184342466, -0.057445847004982495, 0.17541380804933368, 0.055633316972225365, 0.1080295973750312, -0.0517017322464756, 0.2801559070442548, 0.16826074674064595, 0.14374406235724418, -0.22401003908711456, 0.10277097942983551, 0.03655080541577791] |
712.2099 | MRI/TRUS data fusion for brachytherapy | BACKGROUND: Prostate brachytherapy consists in placing radioactive seeds for
tumour destruction under transrectal ultrasound imaging (TRUS) control. It
requires prostate delineation from the images for dose planning. Because
ultrasound imaging is patient- and operator-dependent, we have proposed to fuse
MRI data to TRUS data to make image processing more reliable. The technical
accuracy of this approach has already been evaluated. METHODS: We present work
in progress concerning the evaluation of the approach from the dosimetry
viewpoint. The objective is to determine what impact this system may have on
the treatment of the patient. Dose planning is performed from initial TRUS
prostate contours and evaluated on contours modified by data fusion. RESULTS:
For the eight patients included, we demonstrate that TRUS prostate volume is
most often underestimated and that dose is overestimated in a correlated way.
However, dose constraints are still verified for those eight patients.
CONCLUSIONS: This confirms our initial hypothesis.
| cs.OH | background prostate brachytherapy consists in placing radioactive seeds for tumour destruction under transrectal ultrasound imaging trus control it requires prostate delineation from the images for dose planning because ultrasound imaging is patient and operatordependent we have proposed to fuse mri data to trus data to make image processing more reliable the technical accuracy of this approach has already been evaluated methods we present work in progress concerning the evaluation of the approach from the dosimetry viewpoint the objective is to determine what impact this system may have on the treatment of the patient dose planning is performed from initial trus prostate contours and evaluated on contours modified by data fusion results for the eight patients included we demonstrate that trus prostate volume is most often underestimated and that dose is overestimated in a correlated way however dose constraints are still verified for those eight patients conclusions this confirms our initial hypothesis | [['background', 'prostate', 'brachytherapy', 'consists', 'in', 'placing', 'radioactive', 'seeds', 'for', 'tumour', 'destruction', 'under', 'transrectal', 'ultrasound', 'imaging', 'trus', 'control', 'it', 'requires', 'prostate', 'delineation', 'from', 'the', 'images', 'for', 'dose', 'planning', 'because', 'ultrasound', 'imaging', 'is', 'patient', 'and', 'operatordependent', 'we', 'have', 'proposed', 'to', 'fuse', 'mri', 'data', 'to', 'trus', 'data', 'to', 'make', 'image', 'processing', 'more', 'reliable', 'the', 'technical', 'accuracy', 'of', 'this', 'approach', 'has', 'already', 'been', 'evaluated', 'methods', 'we', 'present', 'work', 'in', 'progress', 'concerning', 'the', 'evaluation', 'of', 'the', 'approach', 'from', 'the', 'dosimetry', 'viewpoint', 'the', 'objective', 'is', 'to', 'determine', 'what', 'impact', 'this', 'system', 'may', 'have', 'on', 'the', 'treatment', 'of', 'the', 'patient', 'dose', 'planning', 'is', 'performed', 'from', 'initial', 'trus', 'prostate', 'contours', 'and', 'evaluated', 'on', 'contours', 'modified', 'by', 'data', 'fusion', 'results', 'for', 'the', 'eight', 'patients', 'included', 'we', 'demonstrate', 'that', 'trus', 'prostate', 'volume', 'is', 'most', 'often', 'underestimated', 'and', 'that', 'dose', 'is', 'overestimated', 'in', 'a', 'correlated', 'way', 'however', 'dose', 'constraints', 'are', 'still', 'verified', 'for', 'those', 'eight', 'patients', 'conclusions', 'this', 'confirms', 'our', 'initial', 'hypothesis']] | [0.02012039986608661, -0.006939402809181553, -0.05709090488438575, 0.06335190511370288, -0.058381212542191245, -0.10986412942890596, 0.010926102621123096, 0.4514177246697691, -0.11834494355797694, -0.3225851467061196, 0.14062404531186803, -0.3024969900871892, -0.10186218761835888, 0.2684830174910904, -0.17790451357202813, 0.1091139948416489, 0.1694494779314229, 0.001315083180474031, 0.0037185460605060326, -0.2915725107590008, 0.2536946974111881, 0.07121880416968832, 0.3526794319380297, 0.03469297148627291, 0.09940910231729118, 0.028780251983491493, -0.0695895930653475, -0.003071753588036344, -0.0861114974197082, 0.14235204528741205, 0.3382184175737449, 0.22194140267592896, 0.2937894813278505, -0.44420449900755427, -0.2560787212893071, 0.04485109257851018, 0.1349314234577218, 0.1081078759601204, -0.06265891118590729, -0.31651898495396535, 0.0862445413383242, -0.0882565647622706, -0.05886456180330742, -0.0887447559499854, -0.019119763110813665, -0.06290668666683483, -0.32468071804437415, 0.11586324451799622, -0.03746335869901721, 0.13384099023737359, -0.15427555462086437, -0.11829773484924284, 0.00954159172652721, 0.16535727334029923, 0.07822338792430669, 0.09637462634235522, 0.21584900348009356, -0.18334594479953217, -0.06190890202064388, 0.36699600919883774, 0.08635175270213444, -0.2107344936064463, 0.16176592443286386, -0.14549542556282455, -0.12418295594629221, 0.19475019285270315, 0.17450049687589408, 0.1314181306643029, -0.23960458476787175, -0.027307506306451554, 0.03486795768462467, 0.17256891043526768, 0.09692419443390524, -0.09556057166604214, 0.1358306748570492, 0.2274396193540649, -0.019916369767847244, 0.1232292373238335, -0.19235549495549292, 0.013081582784282649, -0.2088438373595624, -0.14511351745008239, -0.12870041216994998, 0.016161942882278305, -0.032813398922745, -0.14234738080262743, 0.340539861509009, 0.24834834158016578, 0.11202083604290021, 0.012298879225966551, 0.34011292304621626, 0.023837925080635543, 0.10727915173513654, -0.026581808649441412, 0.2306787964474681, 0.026226185911353554, 0.08549280818058363, -0.24229543858873873, 0.1291170107626313, 0.007513758158989694] |
712.21 | Medical image computing and computer-aided medical interventions applied
to soft tissues. Work in progress in urology | Until recently, Computer-Aided Medical Interventions (CAMI) and Medical
Robotics have focused on rigid and non deformable anatomical structures.
Nowadays, special attention is paid to soft tissues, raising complex issues due
to their mobility and deformation. Mini-invasive digestive surgery was probably
one of the first fields where soft tissues were handled through the development
of simulators, tracking of anatomical structures and specific assistance
robots. However, other clinical domains, for instance urology, are concerned.
Indeed, laparoscopic surgery, new tumour destruction techniques (e.g. HIFU,
radiofrequency, or cryoablation), increasingly early detection of cancer, and
use of interventional and diagnostic imaging modalities, recently opened new
challenges to the urologist and scientists involved in CAMI. This resulted in
the last five years in a very significant increase of research and developments
of computer-aided urology systems. In this paper, we propose a description of
the main problems related to computer-aided diagnostic and therapy of soft
tissues and give a survey of the different types of assistance offered to the
urologist: robotization, image fusion, surgical navigation. Both research
projects and operational industrial systems are discussed.
| cs.OH cs.RO | until recently computeraided medical interventions cami and medical robotics have focused on rigid and non deformable anatomical structures nowadays special attention is paid to soft tissues raising complex issues due to their mobility and deformation miniinvasive digestive surgery was probably one of the first fields where soft tissues were handled through the development of simulators tracking of anatomical structures and specific assistance robots however other clinical domains for instance urology are concerned indeed laparoscopic surgery new tumour destruction techniques eg hifu radiofrequency or cryoablation increasingly early detection of cancer and use of interventional and diagnostic imaging modalities recently opened new challenges to the urologist and scientists involved in cami this resulted in the last five years in a very significant increase of research and developments of computeraided urology systems in this paper we propose a description of the main problems related to computeraided diagnostic and therapy of soft tissues and give a survey of the different types of assistance offered to the urologist robotization image fusion surgical navigation both research projects and operational industrial systems are discussed | [['until', 'recently', 'computeraided', 'medical', 'interventions', 'cami', 'and', 'medical', 'robotics', 'have', 'focused', 'on', 'rigid', 'and', 'non', 'deformable', 'anatomical', 'structures', 'nowadays', 'special', 'attention', 'is', 'paid', 'to', 'soft', 'tissues', 'raising', 'complex', 'issues', 'due', 'to', 'their', 'mobility', 'and', 'deformation', 'miniinvasive', 'digestive', 'surgery', 'was', 'probably', 'one', 'of', 'the', 'first', 'fields', 'where', 'soft', 'tissues', 'were', 'handled', 'through', 'the', 'development', 'of', 'simulators', 'tracking', 'of', 'anatomical', 'structures', 'and', 'specific', 'assistance', 'robots', 'however', 'other', 'clinical', 'domains', 'for', 'instance', 'urology', 'are', 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712.2101 | Euler equation of the optimal trajectory for the fastest magnetization
reversal of nano-magnetic structures | Based on the modified Landau-Lifshitz-Gilbert equation for an arbitrary
Stoner particle under an external magnetic field and a spin-polarized electric
current, differential equations for the optimal reversal trajectory, along
which the magnetization reversal is the fastest one among all possible reversal
routes, are obtained. We show that this is a Euler-Lagrange problem with
constrains. The Euler equation of the optimal trajectory is useful in designing
a magnetic field pulse and/or a polarized electric current pulse in
magnetization reversal for two reasons. 1) It is straightforward to obtain the
solution of the Euler equation, at least numerically, for a given magnetic
nano-structure characterized by its magnetic anisotropy energy. 2) After
obtaining the optimal reversal trajectory for a given magnetic nano-structure,
finding a proper field/current pulse is an algebraic problem instead of the
original nonlinear differential equation.
| cond-mat.mes-hall cond-mat.mtrl-sci | based on the modified landaulifshitzgilbert equation for an arbitrary stoner particle under an external magnetic field and a spinpolarized electric current differential equations for the optimal reversal trajectory along which the magnetization reversal is the fastest one among all possible reversal routes are obtained we show that this is a eulerlagrange problem with constrains the euler equation of the optimal trajectory is useful in designing a magnetic field pulse andor a polarized electric current pulse in magnetization reversal for two reasons 1 it is straightforward to obtain the solution of the euler equation at least numerically for a given magnetic nanostructure characterized by its magnetic anisotropy energy 2 after obtaining the optimal reversal trajectory for a given magnetic nanostructure finding a proper fieldcurrent pulse is an algebraic problem instead of the original nonlinear differential equation | [['based', 'on', 'the', 'modified', 'landaulifshitzgilbert', 'equation', 'for', 'an', 'arbitrary', 'stoner', 'particle', 'under', 'an', 'external', 'magnetic', 'field', 'and', 'a', 'spinpolarized', 'electric', 'current', 'differential', 'equations', 'for', 'the', 'optimal', 'reversal', 'trajectory', 'along', 'which', 'the', 'magnetization', 'reversal', 'is', 'the', 'fastest', 'one', 'among', 'all', 'possible', 'reversal', 'routes', 'are', 'obtained', 'we', 'show', 'that', 'this', 'is', 'a', 'eulerlagrange', 'problem', 'with', 'constrains', 'the', 'euler', 'equation', 'of', 'the', 'optimal', 'trajectory', 'is', 'useful', 'in', 'designing', 'a', 'magnetic', 'field', 'pulse', 'andor', 'a', 'polarized', 'electric', 'current', 'pulse', 'in', 'magnetization', 'reversal', 'for', 'two', 'reasons', '1', 'it', 'is', 'straightforward', 'to', 'obtain', 'the', 'solution', 'of', 'the', 'euler', 'equation', 'at', 'least', 'numerically', 'for', 'a', 'given', 'magnetic', 'nanostructure', 'characterized', 'by', 'its', 'magnetic', 'anisotropy', 'energy', '2', 'after', 'obtaining', 'the', 'optimal', 'reversal', 'trajectory', 'for', 'a', 'given', 'magnetic', 'nanostructure', 'finding', 'a', 'proper', 'fieldcurrent', 'pulse', 'is', 'an', 'algebraic', 'problem', 'instead', 'of', 'the', 'original', 'nonlinear', 'differential', 'equation']] | [-0.220896733738482, 0.13374619205186955, -0.06711270403530863, 0.06204994381405413, -0.12314253454614017, -0.14376335112309013, -0.005555087115822567, 0.37100427044486556, -0.3182117465469572, -0.31510836576215095, 0.05099268401283081, -0.21763483012888443, -0.08154414439987805, 0.2446925668334761, 0.01781168538318188, 0.06383175049623889, 0.002722533590470751, 0.03650034174874977, -0.06080907666236507, -0.2018754104014348, 0.2830464771224393, -0.01773293438471026, 0.279055957780737, 0.01614600019313878, 0.18097780006075348, 0.018398716523208552, 0.08806218554231304, 0.03847206107651194, -0.1154668701315165, 0.03460004004408364, 0.1908348497106797, -0.0021765695125968367, 0.21827516729977947, -0.4651547415526929, -0.17045387867838144, 0.044015921983453964, 0.13363228508236782, 0.1753554112614236, -0.07965539231361753, -0.265630619879812, 0.08318015588792387, -0.06691244899260777, -0.181448244586311, -0.04203550888708344, 0.04980522575443266, 0.04274141031006972, -0.3217915647654553, 0.05832248549494479, 0.0694401962988734, 0.06346222919722398, -0.1405074013716162, -0.06146145415302642, -0.04100090990670853, 0.02590505120654901, 0.07289289708801165, 0.09783802034540309, 0.13422337978112478, -0.147660836165219, -0.12619471774712482, 0.348244033905643, -0.04540029498834715, -0.2281524743746828, 0.0301808243220741, -0.12344806711361916, -0.09464199071474097, 0.1860956897131271, 0.0846663594642585, 0.16470546821613055, -0.18884000049352093, 0.07853761564000268, -0.017988671472779025, 0.13773064797537193, 0.06488037921695246, -0.03823588394077012, 0.2083911014996745, 0.17709205688831087, 0.15144811001502806, 0.1372851952255048, -0.08010270688165393, -0.09016191019478288, -0.29023210304202857, -0.1764678787957463, -0.18664542338724627, 0.0970866461172355, -0.10566664991406638, -0.15908330458871744, 0.42498196397597593, 0.1299292571566723, 0.1117398997630786, 0.0004395682235351867, 0.32186161242425443, 0.22711331224137987, -0.02109005824981809, 0.10526611987604863, 0.21830339848443314, 0.1726215686235163, 0.1592374635963804, -0.33237424352792677, 0.07783266841908228, 0.05504003381011663] |
712.2102 | Prime spectrum and primitive Leavitt path algebras | In this paper a bijection between the set of prime ideals of a Leavitt path
algebra $L_K(E)$ and a certain set which involves maximal tails in $E$ and the
prime spectrum of $K[x,x^{-1}]$ is established. Necessary and sufficient
conditions on the graph $E$ so that the Leavitt path algebra $L_K(E)$ is
primitive are also found.
| math.RA | in this paper a bijection between the set of prime ideals of a leavitt path algebra l_ke and a certain set which involves maximal tails in e and the prime spectrum of kxx1 is established necessary and sufficient conditions on the graph e so that the leavitt path algebra l_ke is primitive are also found | [['in', 'this', 'paper', 'a', 'bijection', 'between', 'the', 'set', 'of', 'prime', 'ideals', 'of', 'a', 'leavitt', 'path', 'algebra', 'l_ke', 'and', 'a', 'certain', 'set', 'which', 'involves', 'maximal', 'tails', 'in', 'e', 'and', 'the', 'prime', 'spectrum', 'of', 'kxx1', 'is', 'established', 'necessary', 'and', 'sufficient', 'conditions', 'on', 'the', 'graph', 'e', 'so', 'that', 'the', 'leavitt', 'path', 'algebra', 'l_ke', 'is', 'primitive', 'are', 'also', 'found']] | [-0.21981159199706532, 0.1023749862882224, -0.10497065823186527, 0.04991713203701444, -0.12788391620852052, -0.13319591674107042, -0.016448431709696624, 0.3837092921815135, -0.4022488902915608, -0.22403173859823833, 0.06575524413704195, -0.24454300803217022, -0.13048943765461446, 0.20817549553784456, -0.15453245489096099, 0.00036812422966415233, 0.13146034883843227, 0.1458938560702584, 0.04429081153886562, -0.2150689984867561, 0.36476955156434665, 0.033833861842074174, 0.19212550956501878, 0.030767891589890826, 0.11800160939720544, 0.03311536821790717, -0.021346683220260523, 0.02724675624208017, -0.2395071660810076, 0.10954084460708229, 0.27183578820391135, 0.12141101058064536, 0.23187826966062527, -0.3600159864534031, -0.045607950453731144, 0.27388464557853615, 0.1642697334204885, -0.0851809146496552, -0.0028708433160897005, -0.14803179201077332, 0.1332792034457353, -0.21457153910940344, -0.09878100092438134, -0.024402998624877496, 0.19552607187493282, -0.0020625229692086576, -0.3393475302241065, -0.03206395448069088, 0.11638940383087505, 0.1854263441467827, -0.037160866462032906, -0.0928838254460557, -0.08181917429478332, 0.05980174723504619, -0.10623756102709607, 0.016061926260590553, 0.043713516962121834, -0.07675294691104104, -0.1596905723891475, 0.36122898373498835, 0.06291578431952406, -0.14890389399264348, 0.13084739747626536, -0.22376369712027636, -0.13546328306706115, 0.12730139496482232, -0.02700112963264639, 0.12011985870247538, -0.14283988616715015, 0.17973600092280487, -0.14606493187285113, 0.0014471396295861764, 0.07678252527151595, 0.04202711928466504, 0.15218131067151924, 0.07948342841118575, 0.13096286236382598, 0.13682589817961507, 0.038344677321782164, 0.07377152197401632, -0.41412532302466304, -0.1726577155630697, -0.1855684711259197, 0.1165810239077969, -0.1004155712448251, -0.1562418349425901, 0.3892620564353737, 0.12900852073322644, 0.15698996866968545, 0.1183117865097963, 0.19516840588978746, 0.08393447335587222, 0.09047610708935694, 0.10697612674398856, 0.10885989449240945, 0.2599507940086451, -0.034251756756566464, -0.1532670356100425, 0.013499678658660162, 0.17047597704116593] |
712.2103 | Hilltop Curvatons | We study ``hilltop'' curvatons that evolve on a convex potential. Hilltop
curvatons evolving on the Hubble-induced potential are generic if supergravity
is assumed in the theory. We do not consider curvatons whose potential is
protected from $O(H)$ corrections, where $H$ is the Hubble parameter. We assume
that the effective mass of a curvaton is expressed as $m_\sigma = c H$, where
the coefficient varies within $0.2 \le c \le 5$ depending on the circumstances.
A negative mass term may lead to enhancement of curvaton fluctuation, which has
a significant impact on the energy bound for low-scale inflation. Using a
simple curvaton model and following the conventional curvaton hypothesis, we
demonstrate the generality of this enhancement.
| hep-ph astro-ph hep-th | we study hilltop curvatons that evolve on a convex potential hilltop curvatons evolving on the hubbleinduced potential are generic if supergravity is assumed in the theory we do not consider curvatons whose potential is protected from oh corrections where h is the hubble parameter we assume that the effective mass of a curvaton is expressed as m_sigma c h where the coefficient varies within 02 le c le 5 depending on the circumstances a negative mass term may lead to enhancement of curvaton fluctuation which has a significant impact on the energy bound for lowscale inflation using a simple curvaton model and following the conventional curvaton hypothesis we demonstrate the generality of this enhancement | [['we', 'study', 'hilltop', 'curvatons', 'that', 'evolve', 'on', 'a', 'convex', 'potential', 'hilltop', 'curvatons', 'evolving', 'on', 'the', 'hubbleinduced', 'potential', 'are', 'generic', 'if', 'supergravity', 'is', 'assumed', 'in', 'the', 'theory', 'we', 'do', 'not', 'consider', 'curvatons', 'whose', 'potential', 'is', 'protected', 'from', 'oh', 'corrections', 'where', 'h', 'is', 'the', 'hubble', 'parameter', 'we', 'assume', 'that', 'the', 'effective', 'mass', 'of', 'a', 'curvaton', 'is', 'expressed', 'as', 'm_sigma', 'c', 'h', 'where', 'the', 'coefficient', 'varies', 'within', '02', 'le', 'c', 'le', '5', 'depending', 'on', 'the', 'circumstances', 'a', 'negative', 'mass', 'term', 'may', 'lead', 'to', 'enhancement', 'of', 'curvaton', 'fluctuation', 'which', 'has', 'a', 'significant', 'impact', 'on', 'the', 'energy', 'bound', 'for', 'lowscale', 'inflation', 'using', 'a', 'simple', 'curvaton', 'model', 'and', 'following', 'the', 'conventional', 'curvaton', 'hypothesis', 'we', 'demonstrate', 'the', 'generality', 'of', 'this', 'enhancement']] | [-0.14981903940880378, 0.19952437705605439, -0.0715205278084205, 0.1276969762280044, -0.0844905123792654, -0.18897781148552895, 0.003972708153652779, 0.3032618017352529, -0.21302466296280423, -0.25882643843559844, 0.051494525844566194, -0.25624384912417125, -0.13647411526752667, 0.15154763787122966, -0.05126584558380082, -0.04309901911887879, 0.016548835125081894, 0.06415451628466447, -0.03035538366244158, -0.2825390914671548, 0.33804269471173093, 0.02249928379202621, 0.17244823254122024, 0.0819460375504078, 0.04848920727115974, -0.0685527307009978, 0.044065891450532434, -0.028807849018720157, -0.19588070641169142, 0.03733205649054103, 0.12389943462575932, 0.11673504399674896, 0.2695177203420092, -0.36116705296495766, -0.2614370886432497, 0.22581169941348203, 0.17976924483031198, 0.09616201982747666, -0.05070681006876392, -0.20633944334756388, 0.07141473304619196, -0.1947156593097341, -0.07780697591512938, -0.03366345585642481, 0.03536865256497996, -0.06508898662542108, -0.3533656969258006, 0.13462801144755518, -0.018203952067874764, -0.009337240584978932, -0.063999960627897, -0.12413824406011324, -0.08573791526846196, -0.023394139426384578, 0.10081825734794206, 0.06341468526271025, 0.1985921573686299, -0.14986308823592895, -0.030196943510274746, 0.39454764516599344, -0.18897016800678612, -0.1664723461604138, 0.10533105392466512, -0.1280737978430759, -0.15392222355136223, 0.06337665088817869, 0.17166282949568867, 0.10988916937065751, -0.08213956817461733, 0.23471083166843623, 0.02929515644025646, 0.17447542469425684, 0.07140073454489507, -0.005061482087496603, 0.24337633930783914, 0.12472509473496884, 0.05646318922344219, 0.06965521372152134, -0.06370961947546325, -0.0932484430979872, -0.39246031918906066, -0.09464906857465394, -0.18013642188733475, 0.1096692851709106, -0.145599574030233, -0.165036493457911, 0.4131952129680206, 0.11770180168892502, 0.23219529675777284, 0.06324462710344642, 0.2343208173518641, 0.12133708685991894, 0.08344654969487078, 0.05417470259003734, 0.310962068635905, 0.06784094797381968, 0.07239496466507644, -0.22061009641957322, 0.014646811856022268, 0.006824210143174257] |
712.2104 | Symplectic Heegaard splittings and linked abelian groups | Let $f$ be the gluing map of a Heegaard splitting of a 3-manifold $W$. The
goal of this paper is to determine the information about $W$ contained in the
image of $f$ under the symplectic representation of the mapping class group. We
prove three main results. First, we show that the first homology group of the
three manifold together with Seifert's linking form provides a complete set of
stable invariants. Second, we give a complete, computable set of invariants for
these linking forms. Third, we show that a slight augmentation of Birman's
determinantal invariant for a Heegaard splitting gives a complete set of
unstable invariants.
| math.GT | let f be the gluing map of a heegaard splitting of a 3manifold w the goal of this paper is to determine the information about w contained in the image of f under the symplectic representation of the mapping class group we prove three main results first we show that the first homology group of the three manifold together with seiferts linking form provides a complete set of stable invariants second we give a complete computable set of invariants for these linking forms third we show that a slight augmentation of birmans determinantal invariant for a heegaard splitting gives a complete set of unstable invariants | [['let', 'f', 'be', 'the', 'gluing', 'map', 'of', 'a', 'heegaard', 'splitting', 'of', 'a', '3manifold', 'w', 'the', 'goal', 'of', 'this', 'paper', 'is', 'to', 'determine', 'the', 'information', 'about', 'w', 'contained', 'in', 'the', 'image', 'of', 'f', 'under', 'the', 'symplectic', 'representation', 'of', 'the', 'mapping', 'class', 'group', 'we', 'prove', 'three', 'main', 'results', 'first', 'we', 'show', 'that', 'the', 'first', 'homology', 'group', 'of', 'the', 'three', 'manifold', 'together', 'with', 'seiferts', 'linking', 'form', 'provides', 'a', 'complete', 'set', 'of', 'stable', 'invariants', 'second', 'we', 'give', 'a', 'complete', 'computable', 'set', 'of', 'invariants', 'for', 'these', 'linking', 'forms', 'third', 'we', 'show', 'that', 'a', 'slight', 'augmentation', 'of', 'birmans', 'determinantal', 'invariant', 'for', 'a', 'heegaard', 'splitting', 'gives', 'a', 'complete', 'set', 'of', 'unstable', 'invariants']] | [-0.22828840463458058, 0.040598808181060195, -0.13503420531140783, 0.05796766702014093, -0.09080522346238677, -0.11751437260178275, 0.0284409804567426, 0.304045217926614, -0.31334320169228774, -0.2636544083495839, 0.04833153028672454, -0.23754854254926053, -0.15043088493761247, 0.18914778501493856, -0.12265715974633797, -0.0151800598967104, 0.11515158745952739, 0.09422909966311775, -0.12690662372579725, -0.25050897611743916, 0.4451320277383694, -0.07739748350846079, 0.18227162779881978, 0.07076794210577365, 0.1505453320345483, -0.021596275261030175, -0.048980283801658794, 0.006284431552138323, -0.18984456265039065, 0.178180348535534, 0.2682374230890463, 0.09190989211156893, 0.20470794827157918, -0.3221250870802368, -0.11315534769360405, 0.1555674620411502, 0.09830449769036093, 0.06123365307576023, -0.04089277605845172, -0.2690807985356794, 0.14955530915736184, -0.1476293370181408, -0.13007127581826913, -0.10372880315117072, 0.014216974059728762, -0.013580201775766909, -0.24538710721446058, -0.035446131225818626, 0.11864191456697881, 0.09383963216812564, -0.03575107790171527, -0.0928818797155355, -0.06681366234149139, 0.14795235127586728, -0.03739542875197143, 0.0978988593997201, 0.06294429566836558, -0.07906484832906593, -0.10800052758377905, 0.3846145524786642, -0.11869811442850803, -0.2337814811258935, 0.1146555486618756, -0.13275384263117582, -0.23713076681507608, 0.15878634481655005, 0.09698753555522462, 0.13292832552598646, -0.07854262286295685, 0.11567816778999539, -0.11723164984813103, 0.12028185837866309, 0.06509317325141567, -0.03805931518749835, 0.15342210528279582, 0.11802739613071586, 0.14593210485942948, 0.18885297624756975, -0.02263583789149729, -0.016207072713698905, -0.37683565355837345, -0.25871325791992533, -0.14080324987970436, 0.1446742872806051, -0.09528956221989714, -0.18090328894770488, 0.45052292897106294, 0.05824560128474751, 0.2036393687997658, 0.15190312386347124, 0.2431063323210065, 0.05712680134162768, 0.028305632698063094, 0.06952813460352794, 0.11526144297721867, 0.18493509287229523, -0.057872136432426766, -0.14091367667452476, -0.012820341237014733, 0.196788046338882] |
712.2105 | Non-special scrolls with general moduli | In this paper we study smooth, non-special scrolls S of degree d, genus g,
with general moduli. In particular, we study the scheme of unisecant curves of
a given degree on S. Our approach is mostly based on degeneration techniques.
| math.AG | in this paper we study smooth nonspecial scrolls s of degree d genus g with general moduli in particular we study the scheme of unisecant curves of a given degree on s our approach is mostly based on degeneration techniques | [['in', 'this', 'paper', 'we', 'study', 'smooth', 'nonspecial', 'scrolls', 's', 'of', 'degree', 'd', 'genus', 'g', 'with', 'general', 'moduli', 'in', 'particular', 'we', 'study', 'the', 'scheme', 'of', 'unisecant', 'curves', 'of', 'a', 'given', 'degree', 'on', 's', 'our', 'approach', 'is', 'mostly', 'based', 'on', 'degeneration', 'techniques']] | [-0.22730644627545887, 0.0349671188980723, -0.11547102893774326, -0.03418808856692452, -0.04839659680445225, -0.13956323264835355, 0.06532002840107545, 0.3682678445505026, -0.24330057012729156, -0.22453094254701567, 0.03935419671977751, -0.21735977123563105, -0.22848147600411606, 0.22561654933274555, -0.17057981420881474, -0.011839443196853002, 0.06360874988902838, 0.053591774919858344, -0.06635638295362394, -0.35788654889433813, 0.450862401475509, -0.08525132072659639, 0.24106094730683628, 0.08415637829173835, 0.07526840378219883, 0.008814424903203662, -0.01840113337414387, 0.014058666829115305, -0.22344773025132525, 0.20888365597989506, 0.24809414348923242, 0.08526809917141993, 0.1701743652423223, -0.352070277556777, -0.2038455598939879, 0.19989072419225407, 0.07108956787926264, 0.06552857628617531, 0.03832902622600205, -0.1653327936402116, 0.12585887568405804, -0.09843244472330508, -0.21641415402961847, -0.04335853087309843, 0.08612474331106895, 0.028905080595555212, -0.1900817776719729, -0.0016254234629181714, 0.08274299861528935, 0.18004856440119255, 0.0324164809874044, -0.1178400723162131, -0.06514058755830121, -0.03329941730659742, 0.02526056753972975, 0.11375214567837807, -0.009785959138893165, -0.10329935283591159, -0.09411536792340951, 0.3386720066460279, -0.11440744310712968, -0.1873084482474205, 0.14878581082806563, -0.16668635117224392, -0.15797387094547352, 0.10728886159948814, 0.246428270263072, 0.30925156481755084, -0.022932567848609045, 0.17384901226092225, -0.08196432444338615, 0.12662435728961077, 0.0826509067406639, -0.05404487498647844, 0.09513238626412857, 0.1859682738327254, 0.04672244837125524, 0.13098594709001005, -0.0683480810541182, 0.011501258137659768, -0.3947155903069637, -0.1691127888715038, -0.14340171943872404, 0.13283208201233393, -0.09022885472633135, -0.13732272766243953, 0.4855763192667487, 0.06459546573937704, 0.24173825933860663, 0.07838019389563645, 0.2559886295826007, 0.04901842497444401, -0.01972767719043753, 0.07900909600683893, 0.10953782755845728, 0.1555529381506718, -0.05915885767302452, -0.17201427084047538, 0.019453405772741787, 0.16204717855613965] |
712.2106 | Brill-Noether theory and non-special scrolls | In this paper we study the Brill-Noether theory of sub-line bundles of a
general, stable rank-two vector bundle on a curve C with general moduli. We
relate this theory to the geometry of unisecant curves on smooth, non-special
scrolls with hyperplane sections isomorphic to C. Most of our results are based
on degeneration techniques.
| math.AG | in this paper we study the brillnoether theory of subline bundles of a general stable ranktwo vector bundle on a curve c with general moduli we relate this theory to the geometry of unisecant curves on smooth nonspecial scrolls with hyperplane sections isomorphic to c most of our results are based on degeneration techniques | [['in', 'this', 'paper', 'we', 'study', 'the', 'brillnoether', 'theory', 'of', 'subline', 'bundles', 'of', 'a', 'general', 'stable', 'ranktwo', 'vector', 'bundle', 'on', 'a', 'curve', 'c', 'with', 'general', 'moduli', 'we', 'relate', 'this', 'theory', 'to', 'the', 'geometry', 'of', 'unisecant', 'curves', 'on', 'smooth', 'nonspecial', 'scrolls', 'with', 'hyperplane', 'sections', 'isomorphic', 'to', 'c', 'most', 'of', 'our', 'results', 'are', 'based', 'on', 'degeneration', 'techniques']] | [-0.18987647199317953, 0.020289086687317083, -0.10890375190186051, 0.022054271505627217, -0.0988954989731593, -0.16505140995712214, 0.02184993812137828, 0.36709117706654204, -0.2648739551461987, -0.1261043684240782, 0.0918079898494981, -0.24279152883111305, -0.2262252460075718, 0.22288799668960976, -0.19293108220510888, 0.003842183698478313, 0.05112069548230688, 0.06154599871908156, -0.10666779694059547, -0.32613669666417716, 0.4783524789513563, -0.053334284318997616, 0.2816310036084, 0.09107762970522328, 0.0741313850630145, 0.04158993599110476, 0.013379331150988364, 0.0026863144253784755, -0.19614388304323238, 0.24715413124177535, 0.3000303585574312, 0.09565658502737587, 0.10644491850003109, -0.384703859054255, -0.16809899788262006, 0.18016462715096632, 0.07700114460872873, 0.05816585642619515, 0.028382060172932468, -0.18987314489160506, 0.12348002357021817, -0.07306522814521813, -0.19363667390678288, -0.08607854047473872, 0.050053272044883586, 0.033327446103904326, -0.1552972923524959, -0.05903594476996728, 0.038974780027034146, 0.15592527591605793, -0.09311139976763923, -0.08949510988181913, -0.1088746048571577, -0.05279602255355918, 0.04366167908850706, 0.07981746314743639, 0.1041041741955955, -0.08413109201762192, -0.12992064500192427, 0.3727271154101165, -0.12261666594740916, -0.2361517684217894, 0.13458143238347234, -0.13110456805465356, -0.15815944135856796, 0.14697926273604608, 0.2064783326877316, 0.2713269507161008, 0.036931738468273634, 0.13257864747583023, -0.10680717399414137, 0.07473459453234133, 0.0488844123001228, -0.08481563819914986, 0.1318486059119679, 0.11941381812728238, 0.02315805251446535, 0.0927063843459418, -0.0358096964279506, -0.10339752992808397, -0.42317729316792396, -0.2252577237855151, -0.03224915645594867, 0.14416364638380846, -0.08860481164927753, -0.18727991062673335, 0.4352699382546938, 0.04488116355155999, 0.2971764767788491, 0.10765204606753476, 0.25460118213492744, 0.028823549940496823, 0.030702231834062708, 0.02466213218164894, 0.20339336393198948, 0.25750587569584826, -0.023817811134921492, -0.10484557654401112, -0.039504191855776985, 0.16893520756220481] |
712.2107 | Kondo volume collapse, Kondo breakdown, and Fermi surface transitions in
heavy-fermion metals | The unconventional critical behavior near magnetic quantum phase transitions
in various heavy-fermion metals, apparently inconsistent with the standard
spin-density-wave scenario, has triggered proposals on the breakdown of the
Kondo effect at the critical point. Here we investigate, within one specific
scenario, the fate of such a zero-temperature transition upon coupling of the
electronic to lattice degrees of freedom. We study a Kondo-Heisenberg model
with volume-dependent Kondo coupling -- this model displays both Kondo volume
collapse and Kondo-breakdown transitions, as well as Lifshitz transitions
associated with a change of the Fermi-surface topology. Within a large-N
treatment, we find that the Lifshitz transition tends to merge with the Kondo
volume collapse and hence becomes first order, whereas the Kondo breakdown
transition remains of second order except for very soft lattices. Interesting
physics emerges at the zero-temperature endpoint of the Kondo volume collapse:
For electrons in two space dimensions, this endpoint is located at the Lifshitz
line for a large range of parameters, thus two continuous quantum phase
transitions coincide without fine tuning. We analyze the effective Landau
theory for such a situation and discuss critical exponents. Finally, we relate
our findings to current heavy-fermion experiments.
| cond-mat.str-el | the unconventional critical behavior near magnetic quantum phase transitions in various heavyfermion metals apparently inconsistent with the standard spindensitywave scenario has triggered proposals on the breakdown of the kondo effect at the critical point here we investigate within one specific scenario the fate of such a zerotemperature transition upon coupling of the electronic to lattice degrees of freedom we study a kondoheisenberg model with volumedependent kondo coupling this model displays both kondo volume collapse and kondobreakdown transitions as well as lifshitz transitions associated with a change of the fermisurface topology within a largen treatment we find that the lifshitz transition tends to merge with the kondo volume collapse and hence becomes first order whereas the kondo breakdown transition remains of second order except for very soft lattices interesting physics emerges at the zerotemperature endpoint of the kondo volume collapse for electrons in two space dimensions this endpoint is located at the lifshitz line for a large range of parameters thus two continuous quantum phase transitions coincide without fine tuning we analyze the effective landau theory for such a situation and discuss critical exponents finally we relate our findings to current heavyfermion experiments | [['the', 'unconventional', 'critical', 'behavior', 'near', 'magnetic', 'quantum', 'phase', 'transitions', 'in', 'various', 'heavyfermion', 'metals', 'apparently', 'inconsistent', 'with', 'the', 'standard', 'spindensitywave', 'scenario', 'has', 'triggered', 'proposals', 'on', 'the', 'breakdown', 'of', 'the', 'kondo', 'effect', 'at', 'the', 'critical', 'point', 'here', 'we', 'investigate', 'within', 'one', 'specific', 'scenario', 'the', 'fate', 'of', 'such', 'a', 'zerotemperature', 'transition', 'upon', 'coupling', 'of', 'the', 'electronic', 'to', 'lattice', 'degrees', 'of', 'freedom', 'we', 'study', 'a', 'kondoheisenberg', 'model', 'with', 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'without', 'fine', 'tuning', 'we', 'analyze', 'the', 'effective', 'landau', 'theory', 'for', 'such', 'a', 'situation', 'and', 'discuss', 'critical', 'exponents', 'finally', 'we', 'relate', 'our', 'findings', 'to', 'current', 'heavyfermion', 'experiments']] | [-0.17234650592217804, 0.21485953251249157, -0.04312913416166945, 0.08377737417261717, -0.031093901973993827, -0.1740189497480363, 0.13565981401249397, 0.3079591932795059, -0.21091248195928833, -0.2554829825918811, 0.04570167423419965, -0.33347107096536394, -0.14142722254716014, 0.10498969465576617, 0.045064587203038776, 0.016598908783028794, -0.06843577464042028, 0.026867998293406952, -0.1536169409904081, -0.16928909722082608, 0.3528666447721965, 0.01366419116554122, 0.2870534810560154, 0.10441220633280561, 0.014425796622769363, -0.019876492631738074, 0.13875492241155976, 0.0354259405889934, -0.18163817491241238, -0.016796367189575296, 0.2469827229748868, -0.06527093020486063, 0.2187258919584565, -0.38341010418662336, 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712.2108 | An Illustrated Introduction to the Basic Biological Principles | Both external environmental selection and internal lower-level evolution are
essential for an integral picture of evolution. This paper proposes that the
division of internal evolution into DNA/RNA pattern formation (genotype) and
protein functional action (phenotype) resolves a universal conflict between
fitness and evolvability. Specifically, this paper explains how this universal
conflict drove the emergence of genotype-phenotype division, why this labor
division is responsible for the extraordinary complexity of life, and how the
specific ways of genotype-phenotype mapping in the labor division determine the
paths and forms of evolution and development.
| q-bio.PE q-bio.GN q-bio.NC | both external environmental selection and internal lowerlevel evolution are essential for an integral picture of evolution this paper proposes that the division of internal evolution into dnarna pattern formation genotype and protein functional action phenotype resolves a universal conflict between fitness and evolvability specifically this paper explains how this universal conflict drove the emergence of genotypephenotype division why this labor division is responsible for the extraordinary complexity of life and how the specific ways of genotypephenotype mapping in the labor division determine the paths and forms of evolution and development | [['both', 'external', 'environmental', 'selection', 'and', 'internal', 'lowerlevel', 'evolution', 'are', 'essential', 'for', 'an', 'integral', 'picture', 'of', 'evolution', 'this', 'paper', 'proposes', 'that', 'the', 'division', 'of', 'internal', 'evolution', 'into', 'dnarna', 'pattern', 'formation', 'genotype', 'and', 'protein', 'functional', 'action', 'phenotype', 'resolves', 'a', 'universal', 'conflict', 'between', 'fitness', 'and', 'evolvability', 'specifically', 'this', 'paper', 'explains', 'how', 'this', 'universal', 'conflict', 'drove', 'the', 'emergence', 'of', 'genotypephenotype', 'division', 'why', 'this', 'labor', 'division', 'is', 'responsible', 'for', 'the', 'extraordinary', 'complexity', 'of', 'life', 'and', 'how', 'the', 'specific', 'ways', 'of', 'genotypephenotype', 'mapping', 'in', 'the', 'labor', 'division', 'determine', 'the', 'paths', 'and', 'forms', 'of', 'evolution', 'and', 'development']] | [-0.14251733522655236, 0.14128573584101914, -0.12334254113698585, 0.11490752715746769, -0.11206146891021894, -0.08665810471090178, 0.06673926266375929, 0.355836819878055, -0.3038496790557272, -0.2856109419009752, 0.04923311249844523, -0.12057032760025727, -0.2946907228997184, 0.10688759130943153, -0.09685044795543137, -0.065572434089457, 0.053111092045178845, -0.04272333388734195, 0.05851144626891861, -0.227095032731692, 0.34743453883444697, 0.10105040962807835, 0.3310418016794655, 0.0318238754148802, 0.1231300845147214, 0.0177719538539855, -0.09660052534503241, -0.043628984218877224, -0.14002320523569425, 0.18224443609566757, 0.28632232697887555, 0.24414404566503234, 0.34868219188517996, -0.450442213875552, -0.18652366747555787, 0.14479973369484975, 0.20797232797679802, 0.06297418540602343, -0.05056555808728768, -0.16116103215350044, 0.010226509368254078, -0.16912653086635854, -0.10568487161977423, -0.048712335899472235, 0.07114490340981218, -0.015914297918789087, -0.22096671739386187, 0.09749442386544413, 0.05700943086089359, 0.11605232756377923, -0.14584894984986427, -0.030875739336220755, -0.021145820268429816, 0.2300860888376418, 0.027392421298039458, -0.007316252997972899, 0.15987931291262308, -0.13305727515576615, -0.1595762845659111, 0.38782362012813487, 0.015912162559106945, -0.15117825033764046, 0.2428972053858969, -0.1485246172756888, -0.1520577695996811, 0.05950148430549436, 0.13211195468385187, -0.013826900870642728, -0.19828078021140147, 0.048877809803363766, 0.03467037816428476, 0.14788114544418124, 0.11401737189023858, 0.03835173338755137, 0.24680744732937052, 0.22393181525791686, 0.04006189120312532, 0.10379412330480085, -0.0023797817321287262, -0.15291543365973564, -0.26040786592186327, -0.18780919664228957, -0.08749912440155944, 0.07295457661255367, -0.09782693539131691, -0.1660488380274425, 0.4339721517585632, 0.10376825418287706, 0.164407947660786, 0.06501920049389204, 0.26866383902832036, 0.0446390834171325, 0.07455158808992969, -0.008348872973066237, 0.09531217999756336, 0.09024600709995462, 0.12434741986087627, -0.3550603073866417, 0.1544585304800421, 0.012373492586711008] |
712.2109 | Breakdown of an intermediate plateau in the magnetization process of
anisotropic spin-1 Heisenberg dimer: theory vs. experiment | The magnetization process of the spin-1 Heisenberg dimer model with axial and
rhombic single-ion anisotropy terms is particularly investigated in connection
with recent experimental high-field measurements performed on the
single-crystal sample of the homodinuclear nickel(II) compound
[Ni2(Medpt)2(ox)(H2O)2](ClO4)2.2H2O (Medpt=methyl-bis(3-aminopropyl)amine). The
results obtained from the exact numerical diagonalization reveal a striking
magnetization process with a marked spatial dependence on the applied magnetic
field for arbitrary but non-zero single-ion anisotropy. It is demonstrated that
the field range, which corresponds to an intermediate magnetization plateau
emerging at a half of the saturation magnetization, basically depends on
single-ion anisotropy terms as well as a spatial orientation of the applied
field. The breakdown of the intermediate magnetization plateau is discussed at
length in relation to the single-ion anisotropy strength.
| cond-mat.mtrl-sci cond-mat.stat-mech | the magnetization process of the spin1 heisenberg dimer model with axial and rhombic singleion anisotropy terms is particularly investigated in connection with recent experimental highfield measurements performed on the singlecrystal sample of the homodinuclear nickelii compound ni2medpt2oxh2o2clo422h2o medptmethylbis3aminopropylamine the results obtained from the exact numerical diagonalization reveal a striking magnetization process with a marked spatial dependence on the applied magnetic field for arbitrary but nonzero singleion anisotropy it is demonstrated that the field range which corresponds to an intermediate magnetization plateau emerging at a half of the saturation magnetization basically depends on singleion anisotropy terms as well as a spatial orientation of the applied field the breakdown of the intermediate magnetization plateau is discussed at length in relation to the singleion anisotropy strength | [['the', 'magnetization', 'process', 'of', 'the', 'spin1', 'heisenberg', 'dimer', 'model', 'with', 'axial', 'and', 'rhombic', 'singleion', 'anisotropy', 'terms', 'is', 'particularly', 'investigated', 'in', 'connection', 'with', 'recent', 'experimental', 'highfield', 'measurements', 'performed', 'on', 'the', 'singlecrystal', 'sample', 'of', 'the', 'homodinuclear', 'nickelii', 'compound', 'ni2medpt2oxh2o2clo422h2o', 'medptmethylbis3aminopropylamine', 'the', 'results', 'obtained', 'from', 'the', 'exact', 'numerical', 'diagonalization', 'reveal', 'a', 'striking', 'magnetization', 'process', 'with', 'a', 'marked', 'spatial', 'dependence', 'on', 'the', 'applied', 'magnetic', 'field', 'for', 'arbitrary', 'but', 'nonzero', 'singleion', 'anisotropy', 'it', 'is', 'demonstrated', 'that', 'the', 'field', 'range', 'which', 'corresponds', 'to', 'an', 'intermediate', 'magnetization', 'plateau', 'emerging', 'at', 'a', 'half', 'of', 'the', 'saturation', 'magnetization', 'basically', 'depends', 'on', 'singleion', 'anisotropy', 'terms', 'as', 'well', 'as', 'a', 'spatial', 'orientation', 'of', 'the', 'applied', 'field', 'the', 'breakdown', 'of', 'the', 'intermediate', 'magnetization', 'plateau', 'is', 'discussed', 'at', 'length', 'in', 'relation', 'to', 'the', 'singleion', 'anisotropy', 'strength']] | [-0.17683737104331765, 0.1771807966919975, -0.01706286701373756, 0.028294609025427537, -0.0868881582437704, -0.11344736185468113, 0.002901173177330444, 0.3881925408107539, -0.2539038474943178, -0.30286775743588806, 0.03883988820016384, -0.26060644804577654, -0.06022238566553521, 0.2159924497808485, 0.10518734637880697, -0.016390675242776827, -0.00861831767251715, 0.07085007425048388, -0.0827744983350082, -0.20156674166713248, 0.2498391208917989, 0.06721559098611275, 0.35458426248903074, 0.08707845361204818, 0.12144615718376978, 0.0525092144186298, 0.11526400044870873, 0.0694466138491407, -0.1641236108672577, 0.030463610923228166, 0.1950028939327846, -0.11481042323284782, 0.12130164820700884, -0.3821917781525675, -0.16791229183630396, 0.020067336119245736, 0.15800145210620636, 0.16603182678712378, -0.05603639496548567, -0.27371450058805447, 0.00012324366252869368, -0.10329270587535574, -0.15686332281426682, -0.08720347461445878, -0.014555122122207347, 0.01812627723750969, -0.2782426367358615, 0.14839657680131496, 0.08320721750399875, 0.18671082956716417, -0.08454672268320186, -0.14817907797017446, -0.05556492918597845, 0.034847731473079575, 0.11105734623706667, 0.12526082502639233, 0.13061882430920377, -0.09976375810025881, -0.11710872299154289, 0.3238712404932206, -0.057258624389457204, -0.10603550839587114, 0.11243215588231882, -0.21894054966396653, -0.11435253556119278, 0.14220681913817923, 0.08997252629293749, 0.05877830520427475, -0.08957825630592803, 0.1144879219738262, -0.004955815201780448, 0.18613030425428104, 0.023945953394286335, 0.011160649153559158, 0.21660110410302877, 0.1830236174399033, 0.013600801036227494, 0.19216568527626804, -0.15198672584762488, -0.11627232058284183, -0.264319489368548, -0.11142120692432703, -0.260526883675872, 0.07507359214747945, -0.15892468563967366, -0.18240287156465154, 0.380341003028055, 0.13553180924694364, 0.21837307770038022, -0.031421170364289236, 0.2438816568775413, 0.09760947684311153, 0.06456479882084144, 0.00551582232437795, 0.2520143862736101, 0.2457158915126153, 0.1669365292531438, -0.3402592320635449, 0.10656123675580602, -0.008546122916353245] |
712.211 | Near-field cosmology with the VLT | With the arrival of wide-field imagers on medium-size telescopes (e.g.
SkyMapper, Pan-STARRS) and the future co-existence of LSST with the E-ELT, it
is worthwhile to evaluate the scientific potential of a CCD camera with ~1
degree FOV for the VLT. Here we discuss the role that such an instrument could
play in resolving persisting fundamental problems in "near-field cosmology".
| astro-ph | with the arrival of widefield imagers on mediumsize telescopes eg skymapper panstarrs and the future coexistence of lsst with the eelt it is worthwhile to evaluate the scientific potential of a ccd camera with 1 degree fov for the vlt here we discuss the role that such an instrument could play in resolving persisting fundamental problems in nearfield cosmology | [['with', 'the', 'arrival', 'of', 'widefield', 'imagers', 'on', 'mediumsize', 'telescopes', 'eg', 'skymapper', 'panstarrs', 'and', 'the', 'future', 'coexistence', 'of', 'lsst', 'with', 'the', 'eelt', 'it', 'is', 'worthwhile', 'to', 'evaluate', 'the', 'scientific', 'potential', 'of', 'a', 'ccd', 'camera', 'with', '1', 'degree', 'fov', 'for', 'the', 'vlt', 'here', 'we', 'discuss', 'the', 'role', 'that', 'such', 'an', 'instrument', 'could', 'play', 'in', 'resolving', 'persisting', 'fundamental', 'problems', 'in', 'nearfield', 'cosmology']] | [-0.10778952402583623, 0.11377436818650695, -0.060377533626505886, 0.0380131651872327, -0.13440126404797625, -0.13147137088452512, -0.059211990717103924, 0.42999763041734695, -0.23233107726831556, -0.3715858613101418, 0.14460563153359976, -0.34837956289303, -0.12729498972895287, 0.2791009056460807, -0.10149733673276032, 0.012978284982806546, 0.13507933987075685, -0.11628525281103991, 0.008750865224085875, -0.2888642708510476, 0.23432755817548703, 0.17186500264678972, 0.16895602150204575, 0.013568884164284346, 0.13212637603282928, -0.006544975271858907, -0.05283489202196568, 0.013371730460074999, -0.11737964263245547, 0.05164292396314568, 0.3168313805392738, 0.17932142464886025, 0.2880478427761187, -0.3779445142500987, -0.17613627502726295, 0.10088149663376605, 0.11020699226750275, -0.0337950864775201, -0.043177803337053094, -0.3219518178553021, 0.03560593130631309, -0.11574946867003129, -0.22153599629715337, 0.001671332060911898, -0.005935601755913536, 0.07919161943166311, -0.20427785070328894, -0.04449183656439438, -0.0945631488210569, 0.11240016547489469, -0.10050066993709937, -0.10356439645323208, 0.053807557607858866, 0.18176190822653598, -0.028776955826334275, 0.06619952365724464, 0.05119880262004622, -0.2558024836874565, -0.05683947080288524, 0.419550285721987, -0.067593684285816, -0.013782496043181016, 0.11865061913001335, -0.21506199100591494, -0.1795457647008411, 0.04464940545228073, 0.19364100801995246, 0.08550332702491116, -0.11380999443768444, 0.08958865658644492, 0.05053154754815465, 0.19439279830272674, 0.06080287765964108, 0.1291693046262835, 0.3237744375621363, 0.2565650482804088, 0.14083679243764383, 0.08811216562457572, -0.32694672825114834, -0.0029953828523472206, -0.2836009195327001, -0.1766106311460736, -0.15514145701555376, 0.09454955520568084, -0.11118785541290535, -0.12219305923682149, 0.3626823691114531, 0.24341968609556808, 0.06966679412240194, -0.01950294745423026, 0.3440733900198997, -0.02533621921882791, 0.12580247183914406, -0.029392106505900115, 0.33160285143402674, 0.04825991204292592, 0.1735876661693772, -0.1856973868384326, -0.022764253343250287, -0.03452598110583248] |
712.2111 | The prototype colliding-wind pinwheel WR 104 | Results from the most extensive study of the time-evolving dust structure
around the prototype "Pinwheel" nebula WR 104 are presented. Encompassing 11
epochs in three near-infrared filter bandpasses, a homogeneous imaging data set
spanning more than 6 years (or 10 orbits) is presented. Data were obtained from
the highly successful Keck Aperture Masking Experiment, which can recover high
fidelity images at extremely high angular resolutions, revealing the geometry
of the plume with unprecedented precision. Inferred properties for the
(unresolved) underlying binary and wind system are orbital period 241.5 +/- 0.5
days and angular outflow velocity of 0.28 +/- 0.02 mas/day. An optically thin
cavity of angular size 13.3 +/- 1.4 mas was found to lie between the central
binary and the onset of the spiral dust plume. Rotational motion of the wind
system induced by the binary orbit is found to have important ramifications:
entanglement of the winds results in strong shock activity far downstream from
the nose of the bowshock. The far greater fraction of the winds participating
in the collision may play a key role in gas compression and the nucleation of
dust at large radii from the central binary and shock stagnation point.
Investigation of the effects of radiative braking pointed towards significant
modifications of the simple hydrostatic colliding wind geometry, extending the
relevance of this phenomena to wider binary systems than previously considered.
Limits placed on the maximum allowed orbital eccentricity of e < 0.06 argue
strongly for a prehistory of tidal circularization in this system. Finally we
discuss the implications of Earth's polar (i < 16 deg) vantage point onto a
system likely to host supernova explosions at future epochs.
| astro-ph | results from the most extensive study of the timeevolving dust structure around the prototype pinwheel nebula wr 104 are presented encompassing 11 epochs in three nearinfrared filter bandpasses a homogeneous imaging data set spanning more than 6 years or 10 orbits is presented data were obtained from the highly successful keck aperture masking experiment which can recover high fidelity images at extremely high angular resolutions revealing the geometry of the plume with unprecedented precision inferred properties for the unresolved underlying binary and wind system are orbital period 2415 05 days and angular outflow velocity of 028 002 masday an optically thin cavity of angular size 133 14 mas was found to lie between the central binary and the onset of the spiral dust plume rotational motion of the wind system induced by the binary orbit is found to have important ramifications entanglement of the winds results in strong shock activity far downstream from the nose of the bowshock the far greater fraction of the winds participating in the collision may play a key role in gas compression and the nucleation of dust at large radii from the central binary and shock stagnation point investigation of the effects of radiative braking pointed towards significant modifications of the simple hydrostatic colliding wind geometry extending the relevance of this phenomena to wider binary systems than previously considered limits placed on the maximum allowed orbital eccentricity of e 006 argue strongly for a prehistory of tidal circularization in this system finally we discuss the implications of earths polar i 16 deg vantage point onto a system likely to host supernova explosions at future epochs | [['results', 'from', 'the', 'most', 'extensive', 'study', 'of', 'the', 'timeevolving', 'dust', 'structure', 'around', 'the', 'prototype', 'pinwheel', 'nebula', 'wr', '104', 'are', 'presented', 'encompassing', '11', 'epochs', 'in', 'three', 'nearinfrared', 'filter', 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712.2112 | Dirichlet sets and Erdos-Kunen-Mauldin theorem | By a theorem proved by Erdos, Kunen and Mauldin, for any nonempty perfect set
$P$ on the real line there exists a perfect set $M$ of Lebesgue measure zero
such that $P+M=\mathbb{R}$. We prove a stronger version of this theorem in
which the obtained perfect set $M$ is a Dirichlet set. Using this result we
show that for a wide range of familes of subsets of the reals, all additive
sets are perfectly meager in transitive sense. We also prove that every proper
analytic subgroup $G$ of the reals is contained in an F-sigma set $F$ such that
$F+G$ is a meager null set.
| math.GN | by a theorem proved by erdos kunen and mauldin for any nonempty perfect set p on the real line there exists a perfect set m of lebesgue measure zero such that pmmathbbr we prove a stronger version of this theorem in which the obtained perfect set m is a dirichlet set using this result we show that for a wide range of familes of subsets of the reals all additive sets are perfectly meager in transitive sense we also prove that every proper analytic subgroup g of the reals is contained in an fsigma set f such that fg is a meager null set | [['by', 'a', 'theorem', 'proved', 'by', 'erdos', 'kunen', 'and', 'mauldin', 'for', 'any', 'nonempty', 'perfect', 'set', 'p', 'on', 'the', 'real', 'line', 'there', 'exists', 'a', 'perfect', 'set', 'm', 'of', 'lebesgue', 'measure', 'zero', 'such', 'that', 'pmmathbbr', 'we', 'prove', 'a', 'stronger', 'version', 'of', 'this', 'theorem', 'in', 'which', 'the', 'obtained', 'perfect', 'set', 'm', 'is', 'a', 'dirichlet', 'set', 'using', 'this', 'result', 'we', 'show', 'that', 'for', 'a', 'wide', 'range', 'of', 'familes', 'of', 'subsets', 'of', 'the', 'reals', 'all', 'additive', 'sets', 'are', 'perfectly', 'meager', 'in', 'transitive', 'sense', 'we', 'also', 'prove', 'that', 'every', 'proper', 'analytic', 'subgroup', 'g', 'of', 'the', 'reals', 'is', 'contained', 'in', 'an', 'fsigma', 'set', 'f', 'such', 'that', 'fg', 'is', 'a', 'meager', 'null', 'set']] | [-0.19438779706732162, 0.08187249659470766, -0.06361951662715777, 0.05518837650849041, -0.05830305213904352, -0.09721087884085561, 0.08474511000354892, 0.3393910010119231, -0.29400704553332724, -0.1784693165874398, 0.04293018724267525, -0.29399973183454386, -0.10330148100699253, 0.2155786371152414, -0.14178886826068743, 0.02934320941024903, 0.11287972886223817, 0.09334417018424539, -0.006323246764543566, -0.27832398476820547, 0.3702246791240081, -0.12773559971269474, 0.21775143258092763, 0.0354641010822023, 0.13524141896615546, 0.01546509372233187, 0.008836291563127515, 0.09334507833225923, -0.19003135339019014, 0.06551483073678699, 0.27313954400992724, 0.18879651863272617, 0.31103314893338285, -0.30037683569820534, -0.18460107532338899, 0.2641061616708859, 0.0379444466840512, -0.017159286647971755, -0.028945454985165552, -0.2546477514291996, 0.23021772963184756, -0.1315185754894487, -0.14008131999866041, -0.04805606430016675, 0.12114652795988379, 0.0022478172503574527, -0.3170812273560797, -0.016995896316569715, 0.17254108534131235, 0.10464490336610131, -0.0438237547246034, -0.1175337678354993, -0.05359755344779312, 0.045941229132049295, -0.044576890077170674, 0.11295513684174173, 0.0282218789956442, 0.009890036092329663, -0.08523511809400888, 0.3577293927681822, -0.11096195168612362, -0.23513876270611309, 0.13124086253923697, -0.186465594720873, -0.14942938982264944, 0.09294915870871866, 0.03191862697939126, 0.1331433669564504, -0.09742060439995698, 0.2295951557145635, -0.2532590468938562, 0.14912990547119848, 0.14693758381277466, 0.012028925862271809, 0.1609240389650561, 0.06559244641645369, 0.14918271864502175, 0.13389624638519096, 0.04434005895548147, 0.04155645954865709, -0.38620319400091196, -0.13380710939985238, -0.2158534293711746, 0.13695421590677742, -0.10984757826061697, -0.2525369181993951, 0.29552594228032797, 0.08629059562633645, 0.17341890081834474, 0.127295533259562, 0.1985583913374638, 0.06417058036042134, -0.01607573598293244, 0.14383453261378465, 0.10827737380705267, 0.15295401283820131, -0.07261756547609145, -0.09860742093036765, 0.01751959517381145, 0.1251602351927714] |
712.2113 | On the deployment of Mobile Trusted Modules | In its recently published TCG Mobile Reference Architecture, the TCG Mobile
Phone Work Group specifies a new concept to enable trust into future mobile
devices. For this purpose, the TCG devises a trusted mobile platform as a set
of trusted engines on behalf of different stakeholders supported by a physical
trust-anchor. In this paper, we present our perception on this emerging
specification. We propose an approach for the practical design and
implementation of this concept and how to deploy it to a trustworthy operating
platform. In particular we propose a method for the take-ownership of a device
by the user and the migration (i.e., portability) of user credentials between
devices.
| cs.CR | in its recently published tcg mobile reference architecture the tcg mobile phone work group specifies a new concept to enable trust into future mobile devices for this purpose the tcg devises a trusted mobile platform as a set of trusted engines on behalf of different stakeholders supported by a physical trustanchor in this paper we present our perception on this emerging specification we propose an approach for the practical design and implementation of this concept and how to deploy it to a trustworthy operating platform in particular we propose a method for the takeownership of a device by the user and the migration ie portability of user credentials between devices | [['in', 'its', 'recently', 'published', 'tcg', 'mobile', 'reference', 'architecture', 'the', 'tcg', 'mobile', 'phone', 'work', 'group', 'specifies', 'a', 'new', 'concept', 'to', 'enable', 'trust', 'into', 'future', 'mobile', 'devices', 'for', 'this', 'purpose', 'the', 'tcg', 'devises', 'a', 'trusted', 'mobile', 'platform', 'as', 'a', 'set', 'of', 'trusted', 'engines', 'on', 'behalf', 'of', 'different', 'stakeholders', 'supported', 'by', 'a', 'physical', 'trustanchor', 'in', 'this', 'paper', 'we', 'present', 'our', 'perception', 'on', 'this', 'emerging', 'specification', 'we', 'propose', 'an', 'approach', 'for', 'the', 'practical', 'design', 'and', 'implementation', 'of', 'this', 'concept', 'and', 'how', 'to', 'deploy', 'it', 'to', 'a', 'trustworthy', 'operating', 'platform', 'in', 'particular', 'we', 'propose', 'a', 'method', 'for', 'the', 'takeownership', 'of', 'a', 'device', 'by', 'the', 'user', 'and', 'the', 'migration', 'ie', 'portability', 'of', 'user', 'credentials', 'between', 'devices']] | [-0.1914005323520137, -0.009219913134276995, -0.0494549696083629, -0.02400000450304813, -0.14463181691071778, -0.2048083566284428, 0.151599944240405, 0.3981238137844398, -0.23537507958072065, -0.331326405073654, 0.050893735197691796, -0.2346519324928522, -0.18047513056511957, 0.2071289614541456, -0.1331896782600476, 0.05497899922246924, 0.04794242248559991, 0.043600903414362284, 0.012548876525316801, -0.21200785191764157, 0.31901541352272034, 0.0680875579179243, 0.33868749419235866, 0.10668081938099393, 0.07961496468029779, 0.02016629598155204, -0.010965323334352838, -0.038397480768186075, -0.08473923522305321, 0.23157216163127925, 0.30700243209247235, 0.20041324504375183, 0.3775021501092447, -0.444082409798823, -0.14194696830344145, 0.020368671812186087, 0.12246915029741272, 0.06575585100627332, -0.11837905169576751, -0.35987953765800706, 0.1412246495510098, -0.3229721179749403, -0.10376610276176103, -0.062259376667767624, 0.008439680923604302, -0.002773782462571506, -0.2665466569984953, -0.10556599190372422, -0.004462324298435339, 0.08470308421076173, -0.006080525384243595, -0.014444965088774485, 0.05267210034394844, 0.20574672500434746, -0.024240103317424655, -0.026015955040714255, 0.18265459517931082, -0.08577145794751467, -0.15371153915852862, 0.3989031775682061, 0.012437159143802192, -0.19507891539467015, 0.1756343855910624, -0.01937737356422952, -0.15791188579492477, -0.01856422244519409, 0.26730954210722335, 0.10366118706210896, -0.22903555368301803, 0.048591703715458234, -0.009593044787093444, 0.15571686103336374, -0.019809151639627223, 0.03988269963991587, 0.23286746500956793, 0.26791872752235374, 0.08712189299640832, 0.11988076209780518, -0.035583686747553724, -0.04215006653598889, -0.28028361561397713, -0.22893448261095695, -0.19341249430349475, 0.019888535055711313, -0.030305346452088863, -0.14510944015691402, 0.3916382096638834, 0.26896670755619806, 0.12325036833580169, 0.06271603746615627, 0.40377672223581207, 0.007523133371082453, 0.12803307388202045, 0.11030509677301678, 0.15094148513378092, -0.0464336831441701, 0.246221895734952, -0.1570939515217173, 0.09211137079788993, 0.02887213933367834] |
712.2114 | The Uehling correction in muonic atoms exactly in Z\alpha | The Uehling correction to the energy levels is presented in terms of the
hypergeometric functions 2F1. This presentation allows to derived various
asymptotics and approximations. Further applications of this method to other
atomic characteristics are also considered.
| physics.atom-ph | the uehling correction to the energy levels is presented in terms of the hypergeometric functions 2f1 this presentation allows to derived various asymptotics and approximations further applications of this method to other atomic characteristics are also considered | [['the', 'uehling', 'correction', 'to', 'the', 'energy', 'levels', 'is', 'presented', 'in', 'terms', 'of', 'the', 'hypergeometric', 'functions', '2f1', 'this', 'presentation', 'allows', 'to', 'derived', 'various', 'asymptotics', 'and', 'approximations', 'further', 'applications', 'of', 'this', 'method', 'to', 'other', 'atomic', 'characteristics', 'are', 'also', 'considered']] | [-0.09845280332641827, 0.015037995435901591, -0.08905477218984349, 0.1275430260370863, -0.04182621887004053, -0.08949718735105283, 0.026574360798238904, 0.3544601561954698, -0.265880387075044, -0.2946117166429758, 0.036932476176376884, -0.2613855092978967, -0.15769864467752948, 0.24637179509610743, -0.047626926689534575, 0.0790445716497866, 0.009533692661018387, 0.012369622224690142, -0.12523537637615526, -0.28080818389315865, 0.2972544793140244, 0.08605440275592578, 0.28083134200927373, 0.1284305714322506, 0.06436067966844987, -0.030342521768919117, -0.050016578098104614, -0.04018608760088682, -0.1588142235335466, 0.18330506560065457, 0.30224485655088684, 0.07030074468285248, 0.2347275024733028, -0.377394086756819, -0.18001503504913402, 0.06549483371703457, 0.149144244701224, 0.13013312618273334, -0.0014253278086717065, -0.25348661834927827, 0.047011750108386215, -0.22102522860104973, -0.1891080407878837, -0.12739140409472827, -0.0019374795736291923, 0.11762178992550518, -0.2594414357901425, 0.031418114163554146, 0.012691577839841312, 0.005389273921782906, -0.07674985658534728, -0.18749800113004608, 0.05594235429275982, 0.1382082549452379, 0.07900562375230161, -0.02767996344639844, 0.0940849811744851, -0.13268020700008884, -0.07258267713257589, 0.39333506912697813, -0.031291513477225565, -0.298115979578044, 0.1641491017165921, -0.1295749536287543, -0.1344347705410139, 0.1068617439627446, 0.13163976633065455, 0.10590571263251272, -0.1841754610272678, 0.08861256487560584, 0.046919464536413956, 0.09190588167591675, 0.10218029387446272, 0.07968336134846951, 0.060678801272769235, 0.02553313341293786, -0.01036313158535474, 0.1815703964329677, -0.049786142803527215, -0.10626790454183277, -0.3625189120302329, -0.13830347151520686, -0.14721545082244808, 0.011556145596645168, -0.0715131180835227, -0.19617242804048834, 0.44089363930696573, 0.14766885224427725, 0.1297067004583172, 0.04641082788804999, 0.3130985635357934, 0.23188305072285034, 0.05117328546790255, -0.012857656724549629, 0.16366035854947325, 0.171006787517989, 0.10071758382223747, -0.19270029674737235, 0.02654390870215925, 0.1443843069310124] |
712.2115 | A statistical framework for the analysis of microarray probe-level data | In microarray technology, a number of critical steps are required to convert
the raw measurements into the data relied upon by biologists and clinicians.
These data manipulations, referred to as preprocessing, influence the quality
of the ultimate measurements and studies that rely upon them. Standard
operating procedure for microarray researchers is to use preprocessed data as
the starting point for the statistical analyses that produce reported results.
This has prevented many researchers from carefully considering their choice of
preprocessing methodology. Furthermore, the fact that the preprocessing step
affects the stochastic properties of the final statistical summaries is often
ignored. In this paper we propose a statistical framework that permits the
integration of preprocessing into the standard statistical analysis flow of
microarray data. This general framework is relevant in many microarray
platforms and motivates targeted analysis methods for specific applications. We
demonstrate its usefulness by applying the idea in three different applications
of the technology.
| stat.AP | in microarray technology a number of critical steps are required to convert the raw measurements into the data relied upon by biologists and clinicians these data manipulations referred to as preprocessing influence the quality of the ultimate measurements and studies that rely upon them standard operating procedure for microarray researchers is to use preprocessed data as the starting point for the statistical analyses that produce reported results this has prevented many researchers from carefully considering their choice of preprocessing methodology furthermore the fact that the preprocessing step affects the stochastic properties of the final statistical summaries is often ignored in this paper we propose a statistical framework that permits the integration of preprocessing into the standard statistical analysis flow of microarray data this general framework is relevant in many microarray platforms and motivates targeted analysis methods for specific applications we demonstrate its usefulness by applying the idea in three different applications of the technology | [['in', 'microarray', 'technology', 'a', 'number', 'of', 'critical', 'steps', 'are', 'required', 'to', 'convert', 'the', 'raw', 'measurements', 'into', 'the', 'data', 'relied', 'upon', 'by', 'biologists', 'and', 'clinicians', 'these', 'data', 'manipulations', 'referred', 'to', 'as', 'preprocessing', 'influence', 'the', 'quality', 'of', 'the', 'ultimate', 'measurements', 'and', 'studies', 'that', 'rely', 'upon', 'them', 'standard', 'operating', 'procedure', 'for', 'microarray', 'researchers', 'is', 'to', 'use', 'preprocessed', 'data', 'as', 'the', 'starting', 'point', 'for', 'the', 'statistical', 'analyses', 'that', 'produce', 'reported', 'results', 'this', 'has', 'prevented', 'many', 'researchers', 'from', 'carefully', 'considering', 'their', 'choice', 'of', 'preprocessing', 'methodology', 'furthermore', 'the', 'fact', 'that', 'the', 'preprocessing', 'step', 'affects', 'the', 'stochastic', 'properties', 'of', 'the', 'final', 'statistical', 'summaries', 'is', 'often', 'ignored', 'in', 'this', 'paper', 'we', 'propose', 'a', 'statistical', 'framework', 'that', 'permits', 'the', 'integration', 'of', 'preprocessing', 'into', 'the', 'standard', 'statistical', 'analysis', 'flow', 'of', 'microarray', 'data', 'this', 'general', 'framework', 'is', 'relevant', 'in', 'many', 'microarray', 'platforms', 'and', 'motivates', 'targeted', 'analysis', 'methods', 'for', 'specific', 'applications', 'we', 'demonstrate', 'its', 'usefulness', 'by', 'applying', 'the', 'idea', 'in', 'three', 'different', 'applications', 'of', 'the', 'technology']] | [-0.039650498960445354, 0.029025792626530995, -0.10389012512267119, 0.05525781476096093, -0.09405422820891073, -0.10807901875164311, 0.08522449477119129, 0.36995658917086466, -0.25756625704128633, -0.34412502435749615, 0.1276836529904795, -0.28532967077834265, -0.1604676162982783, 0.2730538671255692, -0.07609520231180086, 0.11570372310725598, 0.11428526921391294, 0.000794355548894057, -0.030955365848365238, -0.26533162240967056, 0.3020430798423114, 0.054294853694978856, 0.377239483742757, 0.0022840343911636187, 0.05422748263635031, 0.011575039448942264, -0.12337371254605907, -0.004875194527021331, -0.11844567432580062, 0.16110924439801072, 0.30929650563758787, 0.23681087560298575, 0.33875615720625046, -0.46480423256803255, -0.22626176113625626, 0.08435637470903237, 0.15262896640739532, 0.14295073696593572, -0.05848649599704311, -0.2748515349873281, 0.06602557406869608, -0.11069249662316659, -0.05909721147232725, -0.14387151458627218, -0.026949291873432986, -0.0019161266690708226, -0.2524732811823971, 0.04392482430444329, 0.048341418655782745, 0.08580061331294574, -0.01721283405574716, -0.12394985128360402, 0.042844393308721966, 0.19891642078503288, 0.07149481557630148, 0.003083347887187809, 0.17107413016719283, -0.11057257729842533, -0.1204637828791006, 0.374947703062472, -0.010525453212828217, -0.190704402997606, 0.18512159122710492, -0.059468364534300884, -0.21470080522439358, 0.09061422923204863, 0.19500658201210974, 0.08056862834333019, -0.19845378323452087, 0.056038803716156896, 0.038827604826240404, 0.161195445564831, 0.03711093720592946, -0.01519564363475006, 0.1586149829718006, 0.22853152767767188, 0.0031109087451893303, 0.11841250742731205, -0.09310775188681543, -0.04760696357509194, -0.26620699695686434, -0.13590659261318286, -0.19504471254450353, -0.0062095194785892, -0.08355345126581998, -0.14828944354402748, 0.3857697531030598, 0.23876942378363358, 0.18775131583346852, -0.007660455049269579, 0.3567552125843411, 0.059605467175556856, 0.10792461385596665, -0.008744758446458969, 0.20271558512316704, 0.05466636481344119, 0.13357125983162263, -0.16253277457276868, 0.09247489799382527, 0.0020714857881622656] |
712.2116 | X-ray spectral evolution of TeV BL Lac objects: eleven years of
observations with BeppoSAX, XMM-Newton and SWIFT satellites | Many of the extragalactic sources detected in $\gamma$ rays at TeV energies
are BL Lac objects. In particular, they belong to the subclass of ``high
frequency peaked BL Lacs" (HBLs), as their spectral energy distributions
exhibit a first peak in the X-ray band. At a closer look, their X-ray spectra
appear to be generally curved into a log-parabolic shape. In a previous
investigation of Mrk 421, two correlations were found between the spectral
parameters. One involves the height $S_p$ increasing with the position $E_p$ of
the first peak; this was interpreted as a signature of synchrotron emission
from relativistic electrons. The other involves the curvature parameter $b$
decreasing as $E_p$ increases; this points toward statistical/stochastic
acceleration processes for the emitting electrons. We analyse X-ray spectra of
several TeV HBLs to pinpoint their behaviours in the $E_p-S_p$ and $E_p-b$
planes and to compare them with Mrk 421. We perfom X-ray spectral analyses of a
sample of 15 BL Lacs. We report the whole set of observations obtained with the
\sax, \xmm and \swf satellites between 29/06/96 and 07/04/07. We focus on five
sources (PKS 0548-322, 1H 1426+418, Mrk 501, 1ES 1959+650, PKS2155-304) whose
X-ray observations warrant detailed searching of correlations or trends. Within
our database, we find that four out of five sources, namely PKS 0548-322, 1H
1426+418, Mrk 501 and 1ES 1959+650, follow similar trends as Mrk 421 in the
$E_p-S_p$ plane, while PKS 2155-304 differs. As for the $E_p-b$ plane, all TeV
HBLs follow a similar behaviour. The trends exhibited by Mrk 421 appear to be
shared by several TeV HBLs, such as to warrant discussing predictions from the
X-ray spectral evolution to that of TeV emissions.
| astro-ph | many of the extragalactic sources detected in gamma rays at tev energies are bl lac objects in particular they belong to the subclass of high frequency peaked bl lacs hbls as their spectral energy distributions exhibit a first peak in the xray band at a closer look their xray spectra appear to be generally curved into a logparabolic shape in a previous investigation of mrk 421 two correlations were found between the spectral parameters one involves the height s_p increasing with the position e_p of the first peak this was interpreted as a signature of synchrotron emission from relativistic electrons the other involves the curvature parameter b decreasing as e_p increases this points toward statisticalstochastic acceleration processes for the emitting electrons we analyse xray spectra of several tev hbls to pinpoint their behaviours in the e_ps_p and e_pb planes and to compare them with mrk 421 we perfom xray spectral analyses of a sample of 15 bl lacs we report the whole set of observations obtained with the sax xmm and swf satellites between 290696 and 070407 we focus on five sources pks 0548322 1h 1426418 mrk 501 1es 1959650 pks2155304 whose xray observations warrant detailed searching of correlations or trends within our database we find that four out of five sources namely pks 0548322 1h 1426418 mrk 501 and 1es 1959650 follow similar trends as mrk 421 in the e_ps_p plane while pks 2155304 differs as for the e_pb plane all tev hbls follow a similar behaviour the trends exhibited by mrk 421 appear to be shared by several tev hbls such as to warrant discussing predictions from the xray spectral evolution to that of tev emissions | [['many', 'of', 'the', 'extragalactic', 'sources', 'detected', 'in', 'gamma', 'rays', 'at', 'tev', 'energies', 'are', 'bl', 'lac', 'objects', 'in', 'particular', 'they', 'belong', 'to', 'the', 'subclass', 'of', 'high', 'frequency', 'peaked', 'bl', 'lacs', 'hbls', 'as', 'their', 'spectral', 'energy', 'distributions', 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712.2117 | Long-term magnetic activity in close binary systems. I. Patterns of
color variations | We present the results of a long-term photometric monitoring project carried
out at Catania Astrophysical Observatory and aimed at studying magnetic
activity in close binary systems. We present the complete observations dataset
(38,000 photoelectric observations in UBV) and new results of an investigation
on the origin of brightness and color variations observed in the close binary
stars: AR Psc, VY Ari, UX Ari, V711 Tau, EI Eri, V1149 Ori, DH Leo, HU Vir, RS
CVn, V775 Her, AR Lac, SZ Psc, II Peg and BY Dra. Correlation and regression
analyses are carried out. We find the existence of two different patterns of
color variations. Eight stars in our sample: BY Dra, VY Ari, V775 Her, II Peg,
V1149 Ori, HU Vir, EI Eri and DH Leo become redder when they get fainter. The
other six stars show the opposite behaviour, i.e. they become bluer when they
get fainter. For V711 Tau this behaviour could be explained by the increased
relative U- and B- flux contribution by the earlier-type component of the
binary system when the cooler component gets fainter. On the other hand, for AR
Psc, UX Ari, RS CVn, SZ Psc and AR Lac the existence of hot photospheric
faculae must be necessarily invoked. We also found that in single-lined and
double-lined binary stars in which the fainter component is inactive or much
less active the V magnitude is correlated to B-V and U-B color variations in
more than 60% of observation seasons. The correlation is found in less than 40%
of observation seasons when the fainter component has a non-negligible level of
activity and/or hot faculae are present but they are either spatially or
temporally uncorrelated to spots.
| astro-ph | we present the results of a longterm photometric monitoring project carried out at catania astrophysical observatory and aimed at studying magnetic activity in close binary systems we present the complete observations dataset 38000 photoelectric observations in ubv and new results of an investigation on the origin of brightness and color variations observed in the close binary stars ar psc vy ari ux ari v711 tau ei eri v1149 ori dh leo hu vir rs cvn v775 her ar lac sz psc ii peg and by dra correlation and regression analyses are carried out we find the existence of two different patterns of color variations eight stars in our sample by dra vy ari v775 her ii peg v1149 ori hu vir ei eri and dh leo become redder when they get fainter the other six stars show the opposite behaviour ie they become bluer when they get fainter for v711 tau this behaviour could be explained by the increased relative u and b flux contribution by the earliertype component of the binary system when the cooler component gets fainter on the other hand for ar psc ux ari rs cvn sz psc and ar lac the existence of hot photospheric faculae must be necessarily invoked we also found that in singlelined and doublelined binary stars in which the fainter component is inactive or much less active the v magnitude is correlated to bv and ub color variations in more than 60 of observation seasons the correlation is found in less than 40 of observation seasons when the fainter component has a nonnegligible level of activity andor hot faculae are present but they are either spatially or temporally uncorrelated to spots | [['we', 'present', 'the', 'results', 'of', 'a', 'longterm', 'photometric', 'monitoring', 'project', 'carried', 'out', 'at', 'catania', 'astrophysical', 'observatory', 'and', 'aimed', 'at', 'studying', 'magnetic', 'activity', 'in', 'close', 'binary', 'systems', 'we', 'present', 'the', 'complete', 'observations', 'dataset', '38000', 'photoelectric', 'observations', 'in', 'ubv', 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712.2118 | Proposal for an experiment to search for Randall-Sundrum type
corrections to Newton's law of gravitation | String theory, as well as the string inspired brane-world models such as the
Randall-Sundrum (RS) one, suggest a modification of Newton's law of gravitation
at small distance scales. Search for modifications of standard gravity is an
active field of research in this context. It is well known that short range
corrections to gravity would violate the Newton-Birkhoff theorem. Based on
calculations of RS type non-Newtonian forces for finite size spherical bodies,
we propose a torsion balance based experiment to search for the effects of
violation of this celebrated theorem valid in Newtonian gravity as well as the
general theory of relativity. We explain the main principle behind the
experiment and provide detailed calculations suggesting optimum values of the
parameters of the experiment. The projected sensitivity is sufficient to probe
the Randall-Sundrum parameter up to 10 microns.
| hep-th astro-ph gr-qc hep-ph | string theory as well as the string inspired braneworld models such as the randallsundrum rs one suggest a modification of newtons law of gravitation at small distance scales search for modifications of standard gravity is an active field of research in this context it is well known that short range corrections to gravity would violate the newtonbirkhoff theorem based on calculations of rs type nonnewtonian forces for finite size spherical bodies we propose a torsion balance based experiment to search for the effects of violation of this celebrated theorem valid in newtonian gravity as well as the general theory of relativity we explain the main principle behind the experiment and provide detailed calculations suggesting optimum values of the parameters of the experiment the projected sensitivity is sufficient to probe the randallsundrum parameter up to 10 microns | [['string', 'theory', 'as', 'well', 'as', 'the', 'string', 'inspired', 'braneworld', 'models', 'such', 'as', 'the', 'randallsundrum', 'rs', 'one', 'suggest', 'a', 'modification', 'of', 'newtons', 'law', 'of', 'gravitation', 'at', 'small', 'distance', 'scales', 'search', 'for', 'modifications', 'of', 'standard', 'gravity', 'is', 'an', 'active', 'field', 'of', 'research', 'in', 'this', 'context', 'it', 'is', 'well', 'known', 'that', 'short', 'range', 'corrections', 'to', 'gravity', 'would', 'violate', 'the', 'newtonbirkhoff', 'theorem', 'based', 'on', 'calculations', 'of', 'rs', 'type', 'nonnewtonian', 'forces', 'for', 'finite', 'size', 'spherical', 'bodies', 'we', 'propose', 'a', 'torsion', 'balance', 'based', 'experiment', 'to', 'search', 'for', 'the', 'effects', 'of', 'violation', 'of', 'this', 'celebrated', 'theorem', 'valid', 'in', 'newtonian', 'gravity', 'as', 'well', 'as', 'the', 'general', 'theory', 'of', 'relativity', 'we', 'explain', 'the', 'main', 'principle', 'behind', 'the', 'experiment', 'and', 'provide', 'detailed', 'calculations', 'suggesting', 'optimum', 'values', 'of', 'the', 'parameters', 'of', 'the', 'experiment', 'the', 'projected', 'sensitivity', 'is', 'sufficient', 'to', 'probe', 'the', 'randallsundrum', 'parameter', 'up', 'to', '10', 'microns']] | [-0.10125018273376757, 0.1103306243033364, -0.11215003618315138, 0.14879565080024165, -0.11614922904581935, -0.16504547103066688, 0.015814374978826554, 0.23824245445085346, -0.23281615627584634, -0.3539054512563679, 0.06307763157377916, -0.2249699619288246, -0.12136385351143501, 0.17992839188901363, -0.06469341181261741, 0.030765165736213223, -0.01702922418437622, 0.02571262373110383, -0.06084154526082178, -0.18721601960283737, 0.2891999510168615, 0.12872964234125836, 0.23593699540253038, 0.06950367831590551, 0.09182389923371374, -0.018142656233437634, -0.014198162532583982, 0.05068505896186387, -0.15533295309853404, 0.0690166559173829, 0.21059904483923605, 0.10488206106238067, 0.21247377979258697, -0.4115805923110909, -0.248956041155314, 0.06688885036597235, 0.09388866972488662, 0.16439217745360954, -0.055550366589213133, -0.2549905343464127, 0.06834435825067986, -0.17444406750577468, -0.18314375159227186, -0.0263317980217161, 0.03884335726033896, -0.012367876619100571, -0.25504496946103045, 0.10636046206820067, 0.05090620099929058, 0.038207932295066444, -0.05539929304547884, -0.10712048436721994, 0.05044173093478161, 0.06473883112582067, 0.1241575688968792, 0.05530044273990724, 0.1639457750858532, -0.0969905262411986, -0.13345182851232865, 0.442475310333625, -0.11046215456531004, -0.1657459637288142, 0.18099628104310897, -0.1370597814252876, -0.12403030923257272, 0.04424102106993949, 0.16562729909740112, 0.15496665532986367, -0.1272038948049562, 0.12785121004433475, -0.022096619922322806, 0.17647102144029406, 0.07657705935891028, 0.05845103163694687, 0.24352281157410255, 0.1926957567601844, 0.02458803646128487, 0.09716799920079884, -0.09475369205939825, -0.11852713254176908, -0.42118412431122526, -0.14079774825799243, -0.15969871636480093, 0.05733056683783178, -0.1309087332681951, -0.1524882426799094, 0.3200565282669332, 0.13187579676094982, 0.14241993899836583, 0.07868293129183627, 0.25382203715335994, 0.04665941049698395, 0.1114988926936079, 0.025098470032767013, 0.35706303083441326, 0.1540760371213158, 0.0885945490061271, -0.21809278026706092, -0.016257510168684854, 0.10645316373211917] |
712.2119 | Stability of toroidal magnetic fields in the solar tachocline and
beneath | Stability of toroidal magnetic field in a stellar radiation zone is
considered for the cases of uniform and differential rotation. In the rigidly
rotating radiative core shortly below the tachocline, the critical magnetic
field for instability is about 600 G. The unstable disturbances for slightly
supercritical fields have short radial scales ~1 Mm. Radial mixing produced by
the instability is estimated to conclude that the internal field of the sun can
exceed the critical value of 600 G only marginally. Otherwise, the mixing is
too strong and not compatible with the observed lithium abundance. Analysis of
joint instability of differential rotation and toroidal field leads to the
conclusion that axisymmetric models of the laminar solar tachocline are stable
to nonaxisymmetric disturbances. The question of whether sun-like stars can
posses tachoclines is addressed with positive answer for stars with rotation
periods shorter than about two months.
| astro-ph | stability of toroidal magnetic field in a stellar radiation zone is considered for the cases of uniform and differential rotation in the rigidly rotating radiative core shortly below the tachocline the critical magnetic field for instability is about 600 g the unstable disturbances for slightly supercritical fields have short radial scales 1 mm radial mixing produced by the instability is estimated to conclude that the internal field of the sun can exceed the critical value of 600 g only marginally otherwise the mixing is too strong and not compatible with the observed lithium abundance analysis of joint instability of differential rotation and toroidal field leads to the conclusion that axisymmetric models of the laminar solar tachocline are stable to nonaxisymmetric disturbances the question of whether sunlike stars can posses tachoclines is addressed with positive answer for stars with rotation periods shorter than about two months | [['stability', 'of', 'toroidal', 'magnetic', 'field', 'in', 'a', 'stellar', 'radiation', 'zone', 'is', 'considered', 'for', 'the', 'cases', 'of', 'uniform', 'and', 'differential', 'rotation', 'in', 'the', 'rigidly', 'rotating', 'radiative', 'core', 'shortly', 'below', 'the', 'tachocline', 'the', 'critical', 'magnetic', 'field', 'for', 'instability', 'is', 'about', '600', 'g', 'the', 'unstable', 'disturbances', 'for', 'slightly', 'supercritical', 'fields', 'have', 'short', 'radial', 'scales', '1', 'mm', 'radial', 'mixing', 'produced', 'by', 'the', 'instability', 'is', 'estimated', 'to', 'conclude', 'that', 'the', 'internal', 'field', 'of', 'the', 'sun', 'can', 'exceed', 'the', 'critical', 'value', 'of', '600', 'g', 'only', 'marginally', 'otherwise', 'the', 'mixing', 'is', 'too', 'strong', 'and', 'not', 'compatible', 'with', 'the', 'observed', 'lithium', 'abundance', 'analysis', 'of', 'joint', 'instability', 'of', 'differential', 'rotation', 'and', 'toroidal', 'field', 'leads', 'to', 'the', 'conclusion', 'that', 'axisymmetric', 'models', 'of', 'the', 'laminar', 'solar', 'tachocline', 'are', 'stable', 'to', 'nonaxisymmetric', 'disturbances', 'the', 'question', 'of', 'whether', 'sunlike', 'stars', 'can', 'posses', 'tachoclines', 'is', 'addressed', 'with', 'positive', 'answer', 'for', 'stars', 'with', 'rotation', 'periods', 'shorter', 'than', 'about', 'two', 'months']] | [-0.16987697607155183, 0.23991746589027602, -0.01619680627732907, 0.10288959974503337, -0.09976637805731775, -0.08980510285894933, -0.012457369719953116, 0.3421184335285316, -0.22015920537363354, -0.3408483627043536, 0.11109790910709778, -0.20630279695394385, -0.019514390074744307, 0.21600000377230602, -0.05149279136596055, 0.0008325911953981067, 0.07067619516546356, 0.03527663573622704, -0.020429644720821545, -0.21124431346864278, 0.34005648726276283, 0.046544181096271196, 0.1848237550143024, -0.028217763877634344, 0.009386782707839176, -0.1387068140183993, 0.013322947238539827, 0.017706147850386232, -0.16315885919260648, 0.025857678842570248, 0.17420039877793772, 0.08152787664519816, 0.22297862763998325, -0.4250012399050696, -0.2271066720822248, 0.045429182190704964, 0.18690622661840814, 0.09076722132620113, -0.03456039201440129, -0.21422287197462445, 0.12134968314705225, -0.10514044881284494, -0.19286772039365666, 0.0035873773411430163, 0.10273179375277511, 0.006853192020207644, -0.2911118113002258, 0.12042430056869213, 0.1154518369228001, 0.14586227007274483, -0.12899000839940433, -0.08790520449361668, -0.11801280065857131, 0.05620912756642391, 0.11811046116399666, 0.08000166097832523, 0.17399713011651202, -0.12339118633676192, -0.023114938160468793, 0.371497640822982, -0.11428255174953314, -0.11034821306419526, 0.1683321759457989, -0.24208146872898115, -0.07673777321610471, 0.1983768256605956, 0.14590927977757207, 0.1434342755133222, -0.07026615185855792, 0.012585795322706088, -0.034282580352837926, 0.1825358016785748, 0.12365493074637549, -0.04230047892779112, 0.3133228510895198, 0.14131174425048562, 0.09020497654484393, 0.06948662964177543, -0.15923241197035232, -0.09289994337756573, -0.262288424526823, -0.07651293765400247, -0.06040603480269683, 0.07002648307213255, -0.08573557321465944, -0.16792194856780357, 0.35770486777744676, 0.12532013304017742, 0.1419848241779054, 0.0033653300560625462, 0.2899566304324002, 0.11938241655970441, 0.08374985716112986, 0.14260006414662146, 0.3697999626012712, 0.2518017867788801, 0.12091364308164038, -0.2647486639546295, 0.06398340164009353, -0.0027142765000462534] |
712.212 | Activity cycle of the giant star of Z Andromedae and its spin period | We have reanalyzed the long-term optical light curve (LC) of the symbiotic
star Z Andromedae, covering 112--yr of mostly visual observations. Two strictly
periodic and one quasi-periodic cycles can be identified in this LC. A P1=7550
d quasi periodicity characterizes the repetition time of the outburst episodes
of this symbiotic star. Six such events have been recorded so far. During
quiescence states of the system, i.e. in time intervals between outbursts, the
LC is clearly modulated by a stable coherent period of P2=759.1 d. This is the
well known orbital period of the Z And binary system that have been measured
also spectroscopically. A third coherent period of P3=658.4 d is modulating the
intense fluctuations in the optical brightness of the system during outbursts.
We attribute the trigger of the outbursts phenomenon and the clock that drives
it, to a solar type magnetic dynamo cycle that operates in the convection and
the outer layers of the giant star of the system. We suggest that the intense
surface activity of the giant star during maximum phases of its magnetic cycle
is especially enhanced in one or two antipode regions, fixed in the atmosphere
of the star and rotating with it. Such spots could be active regions around the
North and the South poles of a general magnetic dipole field of the star. The
P3 periodicity is half the beat of the binary orbital period of the system and
the spin period of the giant. The latter is then either 482 or 1790 d. If only
one pole is active on the surface of the giant, P3 is the beat period itself,
and the spin period is 352 d. It could also be 5000 d if the giant is rotating
in retrograde direction. We briefly compare these findings in the LC of Z And
to similar modulations that were identified in the LC of two other prototype
symbiotics, BF Cyg and YY Her.
| astro-ph | we have reanalyzed the longterm optical light curve lc of the symbiotic star z andromedae covering 112yr of mostly visual observations two strictly periodic and one quasiperiodic cycles can be identified in this lc a p17550 d quasi periodicity characterizes the repetition time of the outburst episodes of this symbiotic star six such events have been recorded so far during quiescence states of the system ie in time intervals between outbursts the lc is clearly modulated by a stable coherent period of p27591 d this is the well known orbital period of the z and binary system that have been measured also spectroscopically a third coherent period of p36584 d is modulating the intense fluctuations in the optical brightness of the system during outbursts we attribute the trigger of the outbursts phenomenon and the clock that drives it to a solar type magnetic dynamo cycle that operates in the convection and the outer layers of the giant star of the system we suggest that the intense surface activity of the giant star during maximum phases of its magnetic cycle is especially enhanced in one or two antipode regions fixed in the atmosphere of the star and rotating with it such spots could be active regions around the north and the south poles of a general magnetic dipole field of the star the p3 periodicity is half the beat of the binary orbital period of the system and the spin period of the giant the latter is then either 482 or 1790 d if only one pole is active on the surface of the giant p3 is the beat period itself and the spin period is 352 d it could also be 5000 d if the giant is rotating in retrograde direction we briefly compare these findings in the lc of z and to similar modulations that were identified in the lc of two other prototype symbiotics bf cyg and yy her | [['we', 'have', 'reanalyzed', 'the', 'longterm', 'optical', 'light', 'curve', 'lc', 'of', 'the', 'symbiotic', 'star', 'z', 'andromedae', 'covering', '112yr', 'of', 'mostly', 'visual', 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712.2121 | Synchronized and Desynchronized Phases of Exciton-Polariton Condensates
in the Presence of Disorder | Condensation of exciton-polaritons in semiconductor microcavities takes place
despite in plane disorder. Below the critical density the inhomogeneity of the
potential seen by the polaritons strongly limits the spatial extension of the
ground state. Above the critical density, in presence of weak disorder, this
limitation is spontaneously overcome by the non linear interaction, resulting
in an extended synchronized phase. This mechanism is clearly evidenced by
spatial and spectral studies, coupled to interferometric measurements. In case
of strong disorder, several non phase-locked (independent) condensates can be
evidenced. The transition from synchronized phase to desynchronized phase is
addressed considering multiple realizations of the disorder.
| cond-mat.other | condensation of excitonpolaritons in semiconductor microcavities takes place despite in plane disorder below the critical density the inhomogeneity of the potential seen by the polaritons strongly limits the spatial extension of the ground state above the critical density in presence of weak disorder this limitation is spontaneously overcome by the non linear interaction resulting in an extended synchronized phase this mechanism is clearly evidenced by spatial and spectral studies coupled to interferometric measurements in case of strong disorder several non phaselocked independent condensates can be evidenced the transition from synchronized phase to desynchronized phase is addressed considering multiple realizations of the disorder | [['condensation', 'of', 'excitonpolaritons', 'in', 'semiconductor', 'microcavities', 'takes', 'place', 'despite', 'in', 'plane', 'disorder', 'below', 'the', 'critical', 'density', 'the', 'inhomogeneity', 'of', 'the', 'potential', 'seen', 'by', 'the', 'polaritons', 'strongly', 'limits', 'the', 'spatial', 'extension', 'of', 'the', 'ground', 'state', 'above', 'the', 'critical', 'density', 'in', 'presence', 'of', 'weak', 'disorder', 'this', 'limitation', 'is', 'spontaneously', 'overcome', 'by', 'the', 'non', 'linear', 'interaction', 'resulting', 'in', 'an', 'extended', 'synchronized', 'phase', 'this', 'mechanism', 'is', 'clearly', 'evidenced', 'by', 'spatial', 'and', 'spectral', 'studies', 'coupled', 'to', 'interferometric', 'measurements', 'in', 'case', 'of', 'strong', 'disorder', 'several', 'non', 'phaselocked', 'independent', 'condensates', 'can', 'be', 'evidenced', 'the', 'transition', 'from', 'synchronized', 'phase', 'to', 'desynchronized', 'phase', 'is', 'addressed', 'considering', 'multiple', 'realizations', 'of', 'the', 'disorder']] | [-0.21182585542327634, 0.24943044719496837, -0.02637612255399718, 0.0323438320603386, 0.02551006901936204, -0.13045905719456427, 0.056485641975978426, 0.3588188771322808, -0.2489717213765663, -0.25661110916339297, 0.056546033888498284, -0.267289388194388, -0.13657748571359643, 0.12304524923035619, -0.0005707178954217656, 0.01988179716977802, -0.02477084228075018, -0.03067110614924162, -0.03971932610204699, -0.1661710210906926, 0.3405329843015209, 0.004194871998419438, 0.34728657118245665, 0.07893678040115856, 0.02309361238069102, -0.014524636023184833, 0.05079712911381149, 0.031209370495714976, -0.09043026308691147, 0.010683142634875634, 0.24695573854956357, -0.029934014079081667, 0.25503156821736517, -0.43571849602877216, -0.27854194168877955, 0.11293282796966606, 0.2063095573080229, 0.1579457475694225, -0.04148550335244805, -0.3810097859857385, -0.006595694606064581, -0.11228273070432182, -0.17595883280349275, -0.04872090636533411, -0.03016955244318381, 0.017050763729083186, -0.23423562604276574, 0.11598252984421219, 0.09927722963038832, 0.06828643033262707, -0.07011135295946516, -0.012526058829298206, -0.06205005430178169, 0.07637349525283949, 0.026406793830021487, 0.025354574585114333, 0.12374349273102102, -0.14990989319687964, -0.07991657983602993, 0.33889681531810295, -0.10957649387088239, -0.10562986498881205, 0.198258535388638, -0.19296722173435138, -0.0800161707584801, 0.21446436088459164, 0.12287918824243688, 0.0649998789817533, -0.11981648516238612, 0.07221393140806708, 0.021534416237937323, 0.21648178599528312, 0.047788339507236495, 0.09060228152164057, 0.2542613241638915, 0.21078700273452947, 0.04759104626810215, 0.17808745127630948, -0.07191906643885315, -0.14250156921608484, -0.2313911289133031, -0.0617062927517063, -0.24452054552281932, 0.011085074147273439, -0.0817522577821293, -0.15412452558110304, 0.38952120645976096, 0.1612066830001662, 0.18549597845869323, -0.06813450762088977, 0.27172877012258945, 0.1631671125514378, 0.05822800857234089, -0.017291177505873803, 0.3097388296680269, 0.1808947760214591, 0.10482462061818475, -0.27077513725688573, 0.05290301662741923, 0.0019811175206639604] |
712.2122 | On the existence of homomorphisms between principal series of complex
semisimple Lie groups | We determine when there exists a nonzero homomorphism between principal
series representations of a complex semisimple Lie group. We also determines
the existence of homomorphisms between twisted Verma modules.
| math.RT | we determine when there exists a nonzero homomorphism between principal series representations of a complex semisimple lie group we also determines the existence of homomorphisms between twisted verma modules | [['we', 'determine', 'when', 'there', 'exists', 'a', 'nonzero', 'homomorphism', 'between', 'principal', 'series', 'representations', 'of', 'a', 'complex', 'semisimple', 'lie', 'group', 'we', 'also', 'determines', 'the', 'existence', 'of', 'homomorphisms', 'between', 'twisted', 'verma', 'modules']] | [-0.3174073398755542, 0.08165622420673227, -0.1008211212746542, 0.026639132471434002, -0.16808739978948545, -0.15111323969502902, -0.012363649872613364, 0.4119451090308099, -0.4358110898013773, -0.1612119620730137, 0.0627569118514657, -0.2054573892262475, -0.21215710787359496, 0.1616337295493175, -0.09095932501528797, -0.13507035164290976, 0.11045795028772333, 0.13859086397007622, -0.19795931156339316, -0.18328775080113574, 0.4695976733647544, -0.0727140168370358, 0.23454058562116376, 0.030551354561386437, 0.1687454984298554, 0.016724627930670977, -0.0260531156934027, -0.09790173635400574, -0.18397696284127646, 0.10396321053648817, 0.3959901687480381, 0.0261981007643044, 0.2223940018869551, -0.3315083259909317, -0.009058189819213646, 0.3715542333907095, 0.09912186388954006, -0.04641536076488937, -0.02576187484223267, -0.2309158500926248, 0.1406585941540784, -0.22294152855616192, -0.05815207238855033, -0.10156075412343288, 0.13272186137478928, -0.061905130487063836, -0.22787782973770437, 0.03196422716277523, 0.014920446154629362, 0.192634255593193, -0.1507629464091412, -0.0576445442335359, -0.11310531150806567, 0.185087741237206, -0.06587731298701517, -0.04704655702065291, 0.10416921282765167, -0.11113093610339124, -0.13975528165184217, 0.37791674121700486, -0.06655625971676461, -0.21777855720499467, 0.155230520710606, -0.20523179958349672, -0.21766359831110157, 0.08011361638662116, 0.01548286456743191, 0.05369211767061517, 0.07167142325086953, 0.17534495222157445, -0.24833089277019788, 0.036250141814575886, 0.10221689978036387, -0.0835567128940903, 0.20199828659152164, 0.0736042382757597, 0.06451228553236558, 0.12334038447267537, 0.08834427935553008, 0.06144599250421442, -0.4202464623697873, -0.19751138914504957, -0.0837672723954993, 0.14916079676035662, -0.11630002863640929, -0.19577074969380065, 0.4575975365166006, 0.08160446074405878, 0.20094638073752666, 0.10975776208115035, 0.12534808166373265, 0.07674910179499922, 0.11447038257430339, 0.08523435775062134, 0.10513192476255112, 0.3559140769507864, -0.1341265904363887, -0.1530885673609787, -0.10796010568095692, 0.23812273902625875] |
712.2123 | Conformal Metrics with Constant Q-Curvature | We consider the problem of varying conformally the metric of a four
dimensional manifold in order to obtain constant $Q$-curvature. The problem is
variational, and solutions are in general found as critical points of saddle
type. We show how the problem leads naturally to consider the set of formal
barycenters of the manifold.
| math.DG math.AP | we consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant qcurvature the problem is variational and solutions are in general found as critical points of saddle type we show how the problem leads naturally to consider the set of formal barycenters of the manifold | [['we', 'consider', 'the', 'problem', 'of', 'varying', 'conformally', 'the', 'metric', 'of', 'a', 'four', 'dimensional', 'manifold', 'in', 'order', 'to', 'obtain', 'constant', 'qcurvature', 'the', 'problem', 'is', 'variational', 'and', 'solutions', 'are', 'in', 'general', 'found', 'as', 'critical', 'points', 'of', 'saddle', 'type', 'we', 'show', 'how', 'the', 'problem', 'leads', 'naturally', 'to', 'consider', 'the', 'set', 'of', 'formal', 'barycenters', 'of', 'the', 'manifold']] | [-0.18480595970912925, 0.021843209032426186, -0.026538293211246438, 0.08790317189414054, -0.08230056522308656, -0.1194427303249403, 0.007107586523008374, 0.3062007702438969, -0.30417666014916495, -0.27905033360112386, 0.11301548739912796, -0.28786505235113063, -0.18348244363266342, 0.1425514740623393, -0.11664309688263906, 0.0818494911534044, 0.0398267882717949, 0.12142270279802242, -0.10255167301181915, -0.255676998906189, 0.5031980250101045, -0.0568218899117607, 0.2551075815803038, 0.05589133474694671, 0.14151316369831, -0.0565642302961282, 0.025396544521428505, 0.07437798276297608, -0.14124092511077113, 0.11831913492861995, 0.256559961765372, 0.10516959597479622, 0.27455866111899324, -0.39512278234480686, -0.22230788914240757, 0.14670048372925454, 0.13768058641866412, 0.08942185695511552, 0.00921769940101032, -0.24930350067761708, 0.09133216725521774, -0.0793414756233962, -0.1882600168135228, -0.07781495328746596, -0.027058626226377936, -0.015884690672018618, -0.25967900936474214, 0.07851641451201911, 0.039598747736440516, -0.0017638885117364379, -0.12413185436876034, -0.06602575225571065, 0.011656356341741487, 0.09609665886832858, 0.10410255076855703, 0.06210745052206067, 0.04880435850892989, -0.06402889866876649, -0.12275271565776388, 0.42121325385809505, -0.06417057643213994, -0.2854117238718384, 0.13008023264273158, -0.1059658190165207, -0.1372827103994084, 0.06811434227340626, 0.20499832793753944, 0.20554992435324304, -0.12190769447611188, 0.17316401272656326, -0.030207874007382483, 0.09002370981253544, 0.0566639819112167, -0.035229444261069214, 0.13959602458086215, 0.13202992962005566, 0.190227229218438, 0.1982830531965449, -0.047546537742370144, -0.14054375315823084, -0.3112255032613592, -0.18362775575018153, -0.11623557096452646, 0.1143374020883919, -0.16224855106331645, -0.23902057139378674, 0.3861484447634726, 0.09848102152606754, 0.23226817873007846, 0.08812615777945744, 0.18737631243706313, 0.14681685801605335, -0.03925095889980922, 0.08611920977643919, 0.23918620062956833, 0.1280735285495812, 0.0580068508092806, -0.16510786474155226, -0.056329329629903134, 0.15692307824655524] |
712.2124 | Describing disability through individual-level mixture models for
multivariate binary data | Data on functional disability are of widespread policy interest in the United
States, especially with respect to planning for Medicare and Social Security
for a growing population of elderly adults. We consider an extract of
functional disability data from the National Long Term Care Survey (NLTCS) and
attempt to develop disability profiles using variations of the Grade of
Membership (GoM) model. We first describe GoM as an individual-level mixture
model that allows individuals to have partial membership in several mixture
components simultaneously. We then prove the equivalence between
individual-level and population-level mixture models, and use this property to
develop a Markov Chain Monte Carlo algorithm for Bayesian estimation of the
model. We use our approach to analyze functional disability data from the
NLTCS.
| stat.AP | data on functional disability are of widespread policy interest in the united states especially with respect to planning for medicare and social security for a growing population of elderly adults we consider an extract of functional disability data from the national long term care survey nltcs and attempt to develop disability profiles using variations of the grade of membership gom model we first describe gom as an individuallevel mixture model that allows individuals to have partial membership in several mixture components simultaneously we then prove the equivalence between individuallevel and populationlevel mixture models and use this property to develop a markov chain monte carlo algorithm for bayesian estimation of the model we use our approach to analyze functional disability data from the nltcs | [['data', 'on', 'functional', 'disability', 'are', 'of', 'widespread', 'policy', 'interest', 'in', 'the', 'united', 'states', 'especially', 'with', 'respect', 'to', 'planning', 'for', 'medicare', 'and', 'social', 'security', 'for', 'a', 'growing', 'population', 'of', 'elderly', 'adults', 'we', 'consider', 'an', 'extract', 'of', 'functional', 'disability', 'data', 'from', 'the', 'national', 'long', 'term', 'care', 'survey', 'nltcs', 'and', 'attempt', 'to', 'develop', 'disability', 'profiles', 'using', 'variations', 'of', 'the', 'grade', 'of', 'membership', 'gom', 'model', 'we', 'first', 'describe', 'gom', 'as', 'an', 'individuallevel', 'mixture', 'model', 'that', 'allows', 'individuals', 'to', 'have', 'partial', 'membership', 'in', 'several', 'mixture', 'components', 'simultaneously', 'we', 'then', 'prove', 'the', 'equivalence', 'between', 'individuallevel', 'and', 'populationlevel', 'mixture', 'models', 'and', 'use', 'this', 'property', 'to', 'develop', 'a', 'markov', 'chain', 'monte', 'carlo', 'algorithm', 'for', 'bayesian', 'estimation', 'of', 'the', 'model', 'we', 'use', 'our', 'approach', 'to', 'analyze', 'functional', 'disability', 'data', 'from', 'the', 'nltcs']] | [-0.006231942592658163, 0.029324083081948216, -0.1151342710699674, 0.119992574239604, -0.09388116486862726, -0.12646291020318745, 0.11105984532675607, 0.40024201990823577, -0.2700696172328984, -0.3148332683476468, 0.11834943943232965, -0.3047555621915234, -0.14553179157655535, 0.125810188909508, -0.1244683789119609, 0.05905558394147008, 0.08217655903682476, 0.021104132499152082, 0.024709197194731938, -0.23865805778887153, 0.31344759548310097, 0.035782519387217555, 0.3023253207935429, -0.01646838494485653, 0.1128352237439419, 0.04059315574302421, -0.04706342216974836, -0.023081568789070216, -0.14344939097178375, 0.18486994944609383, 0.3344225548429292, 0.22196833793323759, 0.3828633834638186, -0.4349691084911668, -0.2013349393732861, 0.1142222579167323, 0.08511594024948715, 0.11595378579511269, 0.0038228409556005667, -0.3107080914428442, 0.042024551922970305, -0.2606077542816236, -0.12485188485820763, -0.11075729117312325, -0.0035873419847490826, 0.029465237592642263, -0.2895896154251404, 0.09305569625221102, -0.05303383261586229, 0.16011216397382078, -0.1067496342286354, -0.12249567200301018, -0.011924511717056961, 0.1872389946867356, 0.10552387971457518, -0.025744128789624003, 0.09292682115654878, -0.13363513153811113, -0.12622929101041327, 0.3087689188589168, -0.05619966217536267, -0.1544970957547184, 0.1870600021504835, -0.0791478743246658, -0.20230840483483503, 0.048353658486498384, 0.2643289708691399, 0.07476237431126911, -0.2310139396932067, 0.0192857700858144, -0.019040183694200304, 0.1777978071231183, -0.022293620979473964, -0.0750936665572226, 0.1418017902623529, 0.18446314448066722, 0.04739916654689592, 0.12808090847977474, -0.1336281289766747, -0.11750858935822801, -0.2278305784840803, -0.1604262940335746, -0.10568768265127106, 0.004216937643543976, -0.07059126259353035, -0.19041999369647686, 0.3606824488492637, 0.19918425813601032, 0.13070794926554993, 0.12524018567661202, 0.23267163937472232, 0.04353078272443537, 0.05390734099063689, 0.05300024767762156, 0.1212774209178439, 0.11324303134579242, 0.08150261823405944, -0.2000514813812404, 0.14476846185762707, -0.006248408449601715] |
712.2125 | On an identity by Chaundy and Bullard. I | An identity by Chaundy and Bullard writes 1/(1-x)^n (n=1,2,...) as a sum of
two truncated binomial series. This identity was rediscovered many times.
Notably, a special case was rediscovered by I. Daubechies, while she was
setting up the theory of wavelets of compact support. We discuss or survey many
different proofs of the identity, and also its relationship with Gauss
hypergeometric series. We also consider the extension to complex values of the
two parameters which occur as summation bounds. The paper concludes with a
discussion of a multivariable analogue of the identity, which was first given
by Damjanovic, Klamkin and Ruehr. We give the relationship with Lauricella
hypergeometric functions and corresponding PDE's. The paper ends with a new
proof of the multivariable case by splitting up Dirichlet's multivariable beta
integral.
| math.CA | an identity by chaundy and bullard writes 11xn n12 as a sum of two truncated binomial series this identity was rediscovered many times notably a special case was rediscovered by i daubechies while she was setting up the theory of wavelets of compact support we discuss or survey many different proofs of the identity and also its relationship with gauss hypergeometric series we also consider the extension to complex values of the two parameters which occur as summation bounds the paper concludes with a discussion of a multivariable analogue of the identity which was first given by damjanovic klamkin and ruehr we give the relationship with lauricella hypergeometric functions and corresponding pdes the paper ends with a new proof of the multivariable case by splitting up dirichlets multivariable beta integral | [['an', 'identity', 'by', 'chaundy', 'and', 'bullard', 'writes', '11xn', 'n12', 'as', 'a', 'sum', 'of', 'two', 'truncated', 'binomial', 'series', 'this', 'identity', 'was', 'rediscovered', 'many', 'times', 'notably', 'a', 'special', 'case', 'was', 'rediscovered', 'by', 'i', 'daubechies', 'while', 'she', 'was', 'setting', 'up', 'the', 'theory', 'of', 'wavelets', 'of', 'compact', 'support', 'we', 'discuss', 'or', 'survey', 'many', 'different', 'proofs', 'of', 'the', 'identity', 'and', 'also', 'its', 'relationship', 'with', 'gauss', 'hypergeometric', 'series', 'we', 'also', 'consider', 'the', 'extension', 'to', 'complex', 'values', 'of', 'the', 'two', 'parameters', 'which', 'occur', 'as', 'summation', 'bounds', 'the', 'paper', 'concludes', 'with', 'a', 'discussion', 'of', 'a', 'multivariable', 'analogue', 'of', 'the', 'identity', 'which', 'was', 'first', 'given', 'by', 'damjanovic', 'klamkin', 'and', 'ruehr', 'we', 'give', 'the', 'relationship', 'with', 'lauricella', 'hypergeometric', 'functions', 'and', 'corresponding', 'pdes', 'the', 'paper', 'ends', 'with', 'a', 'new', 'proof', 'of', 'the', 'multivariable', 'case', 'by', 'splitting', 'up', 'dirichlets', 'multivariable', 'beta', 'integral']] | [-0.1292577292930562, 0.0451734639874038, -0.09002573084907503, 0.06424817299437306, -0.10986480189810001, -0.15036387951296615, 0.033229408023042944, 0.2935596269034729, -0.2649799513769901, -0.26190145315206426, 0.1543319814867802, -0.2689132949238364, -0.20288256100584262, 0.2189868922349007, -0.07540628328501416, 0.03236474418211967, 0.01242378647035853, 0.04274398344568908, -0.10690133051037437, -0.29984721606578973, 0.348182760021378, 0.019770199425635845, 0.18314725005317214, 0.016811452629997975, 0.10104265008268394, 0.023453454919687405, -0.07335813708537382, -0.06250435649600672, -0.1261544648051907, 0.12976074281449276, 0.21983562687074576, 0.09367122985862607, 0.2984080259050206, -0.3679892766458078, -0.11944495888397567, 0.07944082012150243, 0.13385262831543226, 0.004947178976932966, -0.018912769879735128, -0.2658129725201921, 0.03930145028912587, -0.20937462716444036, -0.1671879460492472, -0.05850026544960817, 0.025602096240732848, 0.08503777537665395, -0.26540761014197284, 0.06479159580483138, 0.1080154853168963, 0.08766755932487372, -0.011920745945608933, -0.14787981111013632, 0.06631129592525091, 0.08443172286836592, 0.07787356815918708, 0.03540451405569911, 0.029544338349282273, -0.08722165804613, -0.15115389885659528, 0.3421471477596192, -0.05242177239879526, -0.20790853209822902, 0.12168661634049077, -0.14694121217457798, -0.1680001798635862, 0.0731408276217513, 0.0892423287576695, 0.12789608796281138, -0.14257490107290974, 0.10618461905171962, -0.0928852906661231, 0.09903152161607827, 0.18433996421966967, -0.028463218060476105, 0.13065862875637108, 0.05187261731576497, 0.017021208883292505, 0.19267749974108117, -0.001185238577689477, -0.07391621731955, -0.3316381197188079, -0.22945379484151526, -0.1612931617531526, 0.08876521386000819, -0.0888375106710376, -0.15692333080970836, 0.4211206791819785, 0.05729620046840291, 0.1800424677785486, 0.10703801828084558, 0.23915216467878597, 0.188636806958509, 0.051796504790440026, 0.009762173261874773, 0.11383930718944239, 0.1943128320652493, 0.0793724564311102, -0.10316242407420724, 0.00811822580422942, 0.15499036139111935] |
712.2126 | Atmospheric neutrino and Long Baseline neutrino experiments | The results obtained by several experiments on atmospheric neutrino
oscillations are summarized and discussed. Then the results obtained by
different long baseline neutrino experiments are considered. Finally
conclusions and perspectives are made.
| hep-ex | the results obtained by several experiments on atmospheric neutrino oscillations are summarized and discussed then the results obtained by different long baseline neutrino experiments are considered finally conclusions and perspectives are made | [['the', 'results', 'obtained', 'by', 'several', 'experiments', 'on', 'atmospheric', 'neutrino', 'oscillations', 'are', 'summarized', 'and', 'discussed', 'then', 'the', 'results', 'obtained', 'by', 'different', 'long', 'baseline', 'neutrino', 'experiments', 'are', 'considered', 'finally', 'conclusions', 'and', 'perspectives', 'are', 'made']] | [-0.052900544251315296, 0.25337782912538387, 0.032033201423473656, 0.1554372036771383, -0.011883012077305466, -0.12655393523164093, 0.006891147815622389, 0.44175048684701324, -0.18234005430713296, -0.307386572327232, 0.19255837827222422, -0.299726339726476, -0.1310025774873793, 0.3740166216157377, 0.0597155015784665, 0.1044609006276005, 0.20828566505224444, -0.04310280454228632, -0.10545240881037898, -0.3181234971852973, 0.2958940709067974, 0.11146327131427824, 0.27499465027358383, 0.12791736843064427, 0.07153024396393448, -0.13187365731573664, -0.2127825723728165, 0.05136892065638676, -0.17382792681428327, 0.02313634533493314, 0.2579472967190668, 0.1520908706879709, 0.12781496113166213, -0.4908368429169059, -0.23796066601062194, -0.046600192465120926, 0.07673016052285675, 0.06388692352629732, -0.10397697975349729, -0.4297744913492352, 0.06438338941370603, -0.13585945693193935, -0.09514382315683179, -0.10307344788384398, -0.08121140894945711, 0.09684795578141348, -0.25598676333902404, -0.0076780023555329535, -0.007132044556783512, 0.01906254877394531, -0.07216050995339174, -0.31016202785394853, 0.05371911765541881, 0.12658790954810684, 0.19210052740527317, -0.07051423087250441, 0.0837875433062436, -0.06649061970529146, -0.17077527970832307, 0.3765319692902267, -0.10689789047501108, -0.1618325816380093, 0.17905601055826992, -0.10851630213437602, -0.07991219354153145, 0.03988002910045907, 0.065508549567312, 0.03608220012392849, -0.17885809909785166, -0.03552677290645079, -0.11025512820924632, 0.06910787375818472, 0.07704740413464606, -0.005447552015539259, 0.2250120731187053, 0.20585038547869772, -0.040881287946831435, 0.003547337793861516, -0.13543799742910778, -0.06990235013654456, -0.31500621972372755, 0.026903864985797554, -0.1307236029242631, 0.0028761488501913846, -0.03372726528232306, 0.0356965204118751, 0.42532651749206707, 0.14942221890669316, 0.20766582567011937, 0.024229024857049808, 0.2668896266259253, 0.04418993342551403, -0.01933796820230782, -0.027989527909085155, 0.33546561119146645, 0.09937271643138956, 0.12749602408439387, -0.19621866333909566, 0.017081323051570507, 0.028494548249000218] |
712.2127 | Spatial coupling of particle and fluid models for streamers: where
nonlocality matters | Particle models for streamer ionization fronts contain correct electron
energy distributions, runaway effects and single electron statistics.
Conventional fluid models are computationally much more efficient for large
particle numbers, but create too low ionization densities in high fields. To
combine their respective advantages, we here show how to couple both models in
space. We confirm that the discrepancies between particle and fluid fronts
arise from the steep electron density gradients in the leading edge of the
fronts. We find the optimal position for the interface between models that
minimizes computational effort and reproduces the results of a pure particle
model.
| physics.plasm-ph physics.comp-ph | particle models for streamer ionization fronts contain correct electron energy distributions runaway effects and single electron statistics conventional fluid models are computationally much more efficient for large particle numbers but create too low ionization densities in high fields to combine their respective advantages we here show how to couple both models in space we confirm that the discrepancies between particle and fluid fronts arise from the steep electron density gradients in the leading edge of the fronts we find the optimal position for the interface between models that minimizes computational effort and reproduces the results of a pure particle model | [['particle', 'models', 'for', 'streamer', 'ionization', 'fronts', 'contain', 'correct', 'electron', 'energy', 'distributions', 'runaway', 'effects', 'and', 'single', 'electron', 'statistics', 'conventional', 'fluid', 'models', 'are', 'computationally', 'much', 'more', 'efficient', 'for', 'large', 'particle', 'numbers', 'but', 'create', 'too', 'low', 'ionization', 'densities', 'in', 'high', 'fields', 'to', 'combine', 'their', 'respective', 'advantages', 'we', 'here', 'show', 'how', 'to', 'couple', 'both', 'models', 'in', 'space', 'we', 'confirm', 'that', 'the', 'discrepancies', 'between', 'particle', 'and', 'fluid', 'fronts', 'arise', 'from', 'the', 'steep', 'electron', 'density', 'gradients', 'in', 'the', 'leading', 'edge', 'of', 'the', 'fronts', 'we', 'find', 'the', 'optimal', 'position', 'for', 'the', 'interface', 'between', 'models', 'that', 'minimizes', 'computational', 'effort', 'and', 'reproduces', 'the', 'results', 'of', 'a', 'pure', 'particle', 'model']] | [-0.04729316389304586, 0.1785297726234421, -0.09784730506595224, 0.15237532122991979, -0.011401980149094016, -0.1433860663184896, 0.021519971434026956, 0.40202440828084945, -0.23253203907050193, -0.3635694677755237, 0.003476753685172298, -0.289566550841555, -0.08972868777811527, 0.18284825891489162, -0.017878575285431, 0.0410240416508168, 0.06070521382149309, -0.06658112931996583, -0.05371723670978099, -0.17382840499281882, 0.26679012048989537, 0.07613184206187724, 0.27930377566721293, 0.06667446723207832, 0.12185966634540818, -0.06157346635358408, -0.022959626545198262, 0.029585957346425856, -0.15465347494537127, 0.07959671544842423, 0.2228766943300434, 0.07440949137322604, 0.2470447245752439, -0.5222374329715967, -0.25200601119548083, 0.0852586793457158, 0.16452637883368879, 0.1557972583780065, -0.09214896154895541, -0.1685524254012853, 0.010158147178590298, -0.15850826672278345, -0.13375514175044373, -0.0605932911275886, 0.00771713335532695, 0.08253232090733946, -0.255751396920532, 0.1582686829660088, -0.00577146032708697, -0.01781678426079452, -0.0750214590714313, -0.11071324120275676, -0.05329663045704365, 0.0901300904667005, 0.055391148485941816, -0.003816803675144911, 0.18326938138809054, -0.2084083244856447, -0.09437898219563066, 0.3705251315003261, -0.07337078200653195, -0.20903081487864256, 0.26558601000346244, -0.20307031562551855, -0.09395397717133164, 0.2204010951705277, 0.17939840692095457, 0.07082190098415594, -0.06503277633804828, 0.04877497164619854, -0.0004386442585382611, 0.1341558007709682, 0.05717963942326605, 0.028635899145156143, 0.2358970095589757, 0.10752808731980622, 0.05696801884099841, 0.09203773679444566, -0.14010705607943236, -0.11848801912274212, -0.2701227631047368, -0.1520505077415146, -0.13500456175301223, -0.05056514038704336, -0.07113195199941401, -0.17855603992240504, 0.36032937907148155, 0.1962638127966784, 0.19232358041219413, 0.036878882702440025, 0.2968010488525033, 0.11134922625496983, 0.013696341754402964, 0.12692578363232315, 0.24205596174113453, 0.13924564418382943, 0.09839683324098587, -0.2356715609948151, 0.052145723970606926, -0.004425795148126781] |
712.2128 | Functional-integral representation of atomic mixtures | A mixture of spin-1/2 fermionic atoms and molecules of paired fermionic atoms
is studied in an optical lattice. The molecules are formed by an attractive
nearest-neighbor interaction. A functional integral is constructed for this
many-body system and analyzed in terms of a mean-field approximation and
Gaussian fluctuations. This provides a phase diagram with the two merging Mott
insulators and an intermediate superfluid. The Gaussian fluctuations give rise
to an induced repulsive dimer-dimer interaction mediated by the unpaired
fermions. The effect of an unbalanced distribution of spin-up and spin-down
fermions is also discussed.
| cond-mat.other | a mixture of spin12 fermionic atoms and molecules of paired fermionic atoms is studied in an optical lattice the molecules are formed by an attractive nearestneighbor interaction a functional integral is constructed for this manybody system and analyzed in terms of a meanfield approximation and gaussian fluctuations this provides a phase diagram with the two merging mott insulators and an intermediate superfluid the gaussian fluctuations give rise to an induced repulsive dimerdimer interaction mediated by the unpaired fermions the effect of an unbalanced distribution of spinup and spindown fermions is also discussed | [['a', 'mixture', 'of', 'spin12', 'fermionic', 'atoms', 'and', 'molecules', 'of', 'paired', 'fermionic', 'atoms', 'is', 'studied', 'in', 'an', 'optical', 'lattice', 'the', 'molecules', 'are', 'formed', 'by', 'an', 'attractive', 'nearestneighbor', 'interaction', 'a', 'functional', 'integral', 'is', 'constructed', 'for', 'this', 'manybody', 'system', 'and', 'analyzed', 'in', 'terms', 'of', 'a', 'meanfield', 'approximation', 'and', 'gaussian', 'fluctuations', 'this', 'provides', 'a', 'phase', 'diagram', 'with', 'the', 'two', 'merging', 'mott', 'insulators', 'and', 'an', 'intermediate', 'superfluid', 'the', 'gaussian', 'fluctuations', 'give', 'rise', 'to', 'an', 'induced', 'repulsive', 'dimerdimer', 'interaction', 'mediated', 'by', 'the', 'unpaired', 'fermions', 'the', 'effect', 'of', 'an', 'unbalanced', 'distribution', 'of', 'spinup', 'and', 'spindown', 'fermions', 'is', 'also', 'discussed']] | [-0.20434718003557267, 0.306726809704465, -0.06426632637411113, 0.10915607743031021, 0.024245636294717373, -0.1612049137019431, 0.040991354394582624, 0.3478410108136418, -0.22546171082396302, -0.22427800484760868, -0.057967887920550194, -0.3310334116281213, -0.10942972798669792, 0.09042439061095534, 0.07461143278962244, -0.02382532635744175, -0.0009381301275899876, -0.0030448853023066795, -0.10574204087606631, -0.27042878081050253, 0.3022686241842482, 0.003921733809123828, 0.2554518183004921, 0.08267564150889445, 0.06623186470697755, 0.05258673846306603, 0.08652482309338191, -0.04375311815807515, -0.10437208712708367, 0.10771471255904307, 0.2027497231750243, -0.09630520520326884, 0.20173970703035593, -0.4573686598881107, -0.1981124687362867, 0.07429398417108408, 0.19540568884543102, 0.15982587533780251, -0.08713320281442619, -0.35541050517729117, -0.09654858725590874, -0.25242671533487737, -0.1399896687362343, -0.0992190150199863, 0.02916996017017442, 0.020466051955261955, -0.30025391194604983, 0.1124078669637801, 0.07841303875750821, 0.10001294010916077, -0.08501314953774335, -0.10089605201779783, -0.012113836345910702, 0.046675450176142316, -0.008017933752853423, 0.048826210737309375, 0.09751865994590132, -0.1790543891661598, -0.101512903003427, 0.3878175414815221, -0.09835198679280913, -0.16888535800187485, 0.21443719608182815, -0.06361228239763042, -0.053880444378592074, 0.16304939733210788, 0.09215702082830197, 0.05069052083316543, -0.1929899974948848, 0.07120393054324466, -0.0388617271800404, 0.14871255493641872, -0.0021240512395034666, 0.0664651574941514, 0.28275896672857925, 0.1723337148964081, 0.025089319117124313, 0.22721065631460236, -0.09510389248126834, -0.15386200663076877, -0.23620955326148999, -0.14295518047014333, -0.29404002522199374, 0.01434046038522628, -0.05090246750367679, -0.21432751699593727, 0.3679948472012968, 0.07826615754848994, 0.1932278077887452, -0.0567792778045101, 0.23750640178585183, 0.1534477476152065, -0.002782931586767992, 0.016660238990722144, 0.2188222226585545, 0.1898985239449362, 0.020928324463412813, -0.29959679048308474, -0.008951041356498457, 0.08149202149007065] |
712.2129 | Distances in random Apollonian network structures | In this paper, we study the distribution of distances in random Apollonian
network structures (RANS), a family of graphs which has a one-to-one
correspondence with planar ternary trees. Using multivariate generating
functions that express all information on distances, and singularity analysis
for evaluating the coefficients of these functions, we describe the
distribution of distances to an outermost vertex, and show that the average
value of the distance between any pair of vertices in a RANS of order n is
asymptotically square root of n.
| math.CO | in this paper we study the distribution of distances in random apollonian network structures rans a family of graphs which has a onetoone correspondence with planar ternary trees using multivariate generating functions that express all information on distances and singularity analysis for evaluating the coefficients of these functions we describe the distribution of distances to an outermost vertex and show that the average value of the distance between any pair of vertices in a rans of order n is asymptotically square root of n | [['in', 'this', 'paper', 'we', 'study', 'the', 'distribution', 'of', 'distances', 'in', 'random', 'apollonian', 'network', 'structures', 'rans', 'a', 'family', 'of', 'graphs', 'which', 'has', 'a', 'onetoone', 'correspondence', 'with', 'planar', 'ternary', 'trees', 'using', 'multivariate', 'generating', 'functions', 'that', 'express', 'all', 'information', 'on', 'distances', 'and', 'singularity', 'analysis', 'for', 'evaluating', 'the', 'coefficients', 'of', 'these', 'functions', 'we', 'describe', 'the', 'distribution', 'of', 'distances', 'to', 'an', 'outermost', 'vertex', 'and', 'show', 'that', 'the', 'average', 'value', 'of', 'the', 'distance', 'between', 'any', 'pair', 'of', 'vertices', 'in', 'a', 'rans', 'of', 'order', 'n', 'is', 'asymptotically', 'square', 'root', 'of', 'n']] | [-0.18217475336444164, 0.07772478830069997, -0.07653836181963838, 0.032207472039209234, -0.02554256314068057, -0.06714908028620162, 0.015160453861989524, 0.37424499665697414, -0.2819834983730245, -0.2647563110194391, 0.04992572831438987, -0.3319456705912238, -0.18257675544425314, 0.13704142719507217, -0.011328007571310514, 0.055996338925546126, 0.07737573347098771, 0.06913785950192028, -0.08981759057912443, -0.2512572079264958, 0.3497839346749797, 0.009872667724266648, 0.23210621240460091, 0.037901119398330116, 0.12642400684056893, 0.03099764573077361, -0.0023355672379866952, 0.064899848861387, -0.16534696726791612, 0.1597233972168483, 0.23650105026761248, 0.11730495018197135, 0.23396770733719072, -0.3788804822335286, -0.18438148374358812, 0.18717149966479546, 0.13115241079192078, 0.05663272821749117, 0.015494050196139142, -0.1922077227694293, 0.11886907897202209, -0.1592826304120189, -0.14690164359109031, 0.008322608224781496, 0.07594148857918169, 0.07379765176336237, -0.2818707195554106, 0.0508349142480819, 0.06467124884061161, 0.07386653442379265, 0.01966675985161038, -0.13255366891445147, -0.025966267312122954, 0.158429731409775, -0.015431299664279712, 0.04704618950823455, 0.017503424896858633, -0.1295127748883152, -0.13725219893136195, 0.32856602683161673, -0.030904858887273196, -0.2391208059797507, 0.13235498436482712, -0.16148829412469196, -0.11746027587824279, 0.06613535655751115, 0.2190529335445414, 0.12983471723384268, -0.17786086342918375, 0.09694812394584351, -0.09698441674533699, 0.13513024540485016, 0.1307876407739795, 0.015397613136363881, 0.17973227089359647, 0.10500495472834223, 0.09102571380901195, 0.15439261741093582, -0.08241013326914981, -0.11212701346570005, -0.3148993927031933, -0.15421918026792505, -0.23532036324780034, 0.051848698320100084, -0.20082399518737692, -0.24636210863744573, 0.39187271733369144, 0.12304679646955005, 0.2541587211779274, 0.15527891953215225, 0.20373765733979998, 0.07224198877589688, 0.06957656223814757, 0.11342353938657436, 0.15408907112266337, 0.149144967330531, -0.018205959006168303, -0.15372599080936716, 0.0736397700051644, 0.13838604067097462] |
712.213 | Diverse correlation structures in gene expression data and their utility
in improving statistical inference | It is well known that correlations in microarray data represent a serious
nuisance deteriorating the performance of gene selection procedures. This paper
is intended to demonstrate that the correlation structure of microarray data
provides a rich source of useful information. We discuss distinct correlation
substructures revealed in microarray gene expression data by an appropriate
ordering of genes. These substructures include stochastic proportionality of
expression signals in a large percentage of all gene pairs, negative
correlations hidden in ordered gene triples, and a long sequence of weakly
dependent random variables associated with ordered pairs of genes. The reported
striking regularities are of general biological interest and they also have
far-reaching implications for theory and practice of statistical methods of
microarray data analysis. We illustrate the latter point with a method for
testing differential expression of nonoverlapping gene pairs. While designed
for testing a different null hypothesis, this method provides an order of
magnitude more accurate control of type 1 error rate compared to conventional
methods of individual gene expression profiling. In addition, this method is
robust to the technical noise. Quantitative inference of the correlation
structure has the potential to extend the analysis of microarray data far
beyond currently practiced methods.
| stat.AP | it is well known that correlations in microarray data represent a serious nuisance deteriorating the performance of gene selection procedures this paper is intended to demonstrate that the correlation structure of microarray data provides a rich source of useful information we discuss distinct correlation substructures revealed in microarray gene expression data by an appropriate ordering of genes these substructures include stochastic proportionality of expression signals in a large percentage of all gene pairs negative correlations hidden in ordered gene triples and a long sequence of weakly dependent random variables associated with ordered pairs of genes the reported striking regularities are of general biological interest and they also have farreaching implications for theory and practice of statistical methods of microarray data analysis we illustrate the latter point with a method for testing differential expression of nonoverlapping gene pairs while designed for testing a different null hypothesis this method provides an order of magnitude more accurate control of type 1 error rate compared to conventional methods of individual gene expression profiling in addition this method is robust to the technical noise quantitative inference of the correlation structure has the potential to extend the analysis of microarray data far beyond currently practiced methods | [['it', 'is', 'well', 'known', 'that', 'correlations', 'in', 'microarray', 'data', 'represent', 'a', 'serious', 'nuisance', 'deteriorating', 'the', 'performance', 'of', 'gene', 'selection', 'procedures', 'this', 'paper', 'is', 'intended', 'to', 'demonstrate', 'that', 'the', 'correlation', 'structure', 'of', 'microarray', 'data', 'provides', 'a', 'rich', 'source', 'of', 'useful', 'information', 'we', 'discuss', 'distinct', 'correlation', 'substructures', 'revealed', 'in', 'microarray', 'gene', 'expression', 'data', 'by', 'an', 'appropriate', 'ordering', 'of', 'genes', 'these', 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712.2131 | Andreev reflections at large ferromagnet/high-T_C superconductor area
junctions with rough interface | Sub-gap conductance at a large area junction with a rough interface of a
ferromagnet and a high-T$_{C}$ superconductor is superimposed by multiple peaks
which is not expected from an ideal point contact Andreev reflection process.
We demonstrate this phenomenon by measuring resistance as a function of bias
voltage of a Co/Y$_{1}$Ba$_{2}$Cu$_{3}$O$_{7-\delta}$ junction with contact
area 50 x 70 $\mu$ $m^{2}$ at various temperatures. In order to analyze such
Andreev reflection data, the interface is assumed to have random potentials
which can create local electric fields. The Blonder-Tinkham-Klapwijk theory is
modified with the inclusion of a broadening parameter due to finite life time
effects of quasi particles. An additional voltage drop due to local electric
fields at the rough interface has been included in terms of an extra energy
shift which may be related to the asymmetry of normalized resistance data. Spin
polarization has been introduced for the ferromagnet. The presented model
explains the multi-peak nature and asymmetry of Andreev reflection data
experimentally observed at large area junctions. Extension of the model also
interprets the experimentally observed anomalous enhancement of resistance
peaks in the sub-gap region which may result from crossing the critical current
limit across the junction.
| cond-mat.supr-con | subgap conductance at a large area junction with a rough interface of a ferromagnet and a hight_c superconductor is superimposed by multiple peaks which is not expected from an ideal point contact andreev reflection process we demonstrate this phenomenon by measuring resistance as a function of bias voltage of a coy_1ba_2cu_3o_7delta junction with contact area 50 x 70 mu m2 at various temperatures in order to analyze such andreev reflection data the interface is assumed to have random potentials which can create local electric fields the blondertinkhamklapwijk theory is modified with the inclusion of a broadening parameter due to finite life time effects of quasi particles an additional voltage drop due to local electric fields at the rough interface has been included in terms of an extra energy shift which may be related to the asymmetry of normalized resistance data spin polarization has been introduced for the ferromagnet the presented model explains the multipeak nature and asymmetry of andreev reflection data experimentally observed at large area junctions extension of the model also interprets the experimentally observed anomalous enhancement of resistance peaks in the subgap region which may result from crossing the critical current limit across the junction | [['subgap', 'conductance', 'at', 'a', 'large', 'area', 'junction', 'with', 'a', 'rough', 'interface', 'of', 'a', 'ferromagnet', 'and', 'a', 'hight_c', 'superconductor', 'is', 'superimposed', 'by', 'multiple', 'peaks', 'which', 'is', 'not', 'expected', 'from', 'an', 'ideal', 'point', 'contact', 'andreev', 'reflection', 'process', 'we', 'demonstrate', 'this', 'phenomenon', 'by', 'measuring', 'resistance', 'as', 'a', 'function', 'of', 'bias', 'voltage', 'of', 'a', 'coy_1ba_2cu_3o_7delta', 'junction', 'with', 'contact', 'area', '50', 'x', '70', 'mu', 'm2', 'at', 'various', 'temperatures', 'in', 'order', 'to', 'analyze', 'such', 'andreev', 'reflection', 'data', 'the', 'interface', 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712.2132 | Jacobi osculating rank and isotropic geodesics on naturally reductive
3-manifolds | We study the Jacobi osculating rank of geodesics on naturally reductive
homogeneous manifolds and we apply this theory to the 3-dimensional case. Here,
each non-symmetric, simply connected naturally reductive 3-manifold can be
given as a principal bundle over a surface of constant curvature, such that the
curvature of its horizontal distribution is also a constant. Then, we prove
that the Jacobi osculating rank of every geodesic is two except for the Hopf
fibers, where it is zero. Moreover, we determine all isotropic geodesics and
the isotropic tangent conjugate locus.
| math.DG math.MG | we study the jacobi osculating rank of geodesics on naturally reductive homogeneous manifolds and we apply this theory to the 3dimensional case here each nonsymmetric simply connected naturally reductive 3manifold can be given as a principal bundle over a surface of constant curvature such that the curvature of its horizontal distribution is also a constant then we prove that the jacobi osculating rank of every geodesic is two except for the hopf fibers where it is zero moreover we determine all isotropic geodesics and the isotropic tangent conjugate locus | [['we', 'study', 'the', 'jacobi', 'osculating', 'rank', 'of', 'geodesics', 'on', 'naturally', 'reductive', 'homogeneous', 'manifolds', 'and', 'we', 'apply', 'this', 'theory', 'to', 'the', '3dimensional', 'case', 'here', 'each', 'nonsymmetric', 'simply', 'connected', 'naturally', 'reductive', '3manifold', 'can', 'be', 'given', 'as', 'a', 'principal', 'bundle', 'over', 'a', 'surface', 'of', 'constant', 'curvature', 'such', 'that', 'the', 'curvature', 'of', 'its', 'horizontal', 'distribution', 'is', 'also', 'a', 'constant', 'then', 'we', 'prove', 'that', 'the', 'jacobi', 'osculating', 'rank', 'of', 'every', 'geodesic', 'is', 'two', 'except', 'for', 'the', 'hopf', 'fibers', 'where', 'it', 'is', 'zero', 'moreover', 'we', 'determine', 'all', 'isotropic', 'geodesics', 'and', 'the', 'isotropic', 'tangent', 'conjugate', 'locus']] | [-0.23434634235153876, 0.1251131528439105, -0.09162902216730492, 0.048525544304630894, -0.17121659240193582, -0.14348343799539495, -0.059020850165182034, 0.39642965794132834, -0.3363629408348142, -0.11595322689292638, 0.11235767211555765, -0.2563495504450095, -0.2176977689430285, 0.18783857095777318, -0.10140676950261499, -0.02878728290834056, 0.05974286118145572, 0.15121816054739978, -0.09965765993686372, -0.2798313055660973, 0.46680668114129914, -0.031226239836868945, 0.22679679938905944, 0.043788466105509675, 0.13930322851441548, 0.013237766089608496, 0.029827446017539904, 0.0623388906281567, -0.15679142561958961, 0.09338442532324724, 0.2888226419415199, 0.04483050760143342, 0.18655495271819195, -0.3339056284569094, -0.18034938343779675, 0.237788344241595, 0.15708671717935901, 0.03995357043884192, 0.03559708757603311, -0.21877215652768447, 0.10598446890905373, -0.11552800579268611, -0.22624396231402172, -0.060789524567093745, 0.03477586179270587, 0.02282640532841592, -0.16356883377485562, 0.01716580052220451, 0.10290013770625163, 0.07281537090292138, -0.08370540208010568, -0.07809180270336318, -0.09952449226710067, 0.06420469311003187, 0.04684088546835054, 0.040153569811327235, 0.11466851925118983, 0.016094482700036983, -0.041516245541612755, 0.38753797909705323, -0.10799823325713363, -0.3083254192443041, 0.08190987451300234, -0.15243094310876024, -0.12133129965513945, 0.10509125031321571, 0.1542223883541615, 0.20149273955945993, -0.04661406453677945, 0.16231383057703588, -0.09836125970305351, 0.04205693101531334, 0.13043085837297225, -0.11264374306990524, 0.15381008205579572, 0.05001036132152161, 0.1339387100849175, 0.09020116373640223, -0.04029626757942475, -0.08208924638149276, -0.38338870354247895, -0.26382538953565815, -0.1566678859683256, 0.16762651550960256, -0.1921995133210596, -0.21185814904237396, 0.4024515281525556, 0.007333311990029022, 0.22263502558756076, 0.11525671013494891, 0.2778940113533414, 0.04994100896155022, 0.02440775406620141, 0.1398021733608055, 0.2031640452934492, 0.23784398069877302, -0.05376354238839841, -0.1293081689856193, -0.05642687588971987, 0.1419632139176214] |
712.2133 | The Div-Curl Lemma Revisited | The Div-Curl Lemma, which is the basic result of the compensated compactness
theory in Sobolev spaces, was introduced by F. Murat (1978) with distinct
proofs for the $L^2(\Omega)$ and $L^p(\Omega)$, $p \neq 2$, cases. In this note
we present a slightly different proof, relying only on a Green-Gauss integral
formula and on the usual Rellich-Kondrachov compactness properties.
| math.FA math.AP | the divcurl lemma which is the basic result of the compensated compactness theory in sobolev spaces was introduced by f murat 1978 with distinct proofs for the l2omega and lpomega p neq 2 cases in this note we present a slightly different proof relying only on a greengauss integral formula and on the usual rellichkondrachov compactness properties | [['the', 'divcurl', 'lemma', 'which', 'is', 'the', 'basic', 'result', 'of', 'the', 'compensated', 'compactness', 'theory', 'in', 'sobolev', 'spaces', 'was', 'introduced', 'by', 'f', 'murat', '1978', 'with', 'distinct', 'proofs', 'for', 'the', 'l2omega', 'and', 'lpomega', 'p', 'neq', '2', 'cases', 'in', 'this', 'note', 'we', 'present', 'a', 'slightly', 'different', 'proof', 'relying', 'only', 'on', 'a', 'greengauss', 'integral', 'formula', 'and', 'on', 'the', 'usual', 'rellichkondrachov', 'compactness', 'properties']] | [-0.1331963764142098, 0.0666606092760176, -0.11981656039623838, 0.11409927706904056, -0.08206332793965805, -0.12638204656704738, 0.028625590467351702, 0.27986354603056324, -0.2555308982550183, -0.22662110417558437, 0.12472059054038766, -0.24329221475330232, -0.11033632977571535, 0.19882063611753678, -0.17098039328202344, -0.0029702214238217523, 0.0187946701904334, 0.006687196657845848, -0.08599251261993981, -0.25329765902930185, 0.38808445058142144, -0.06548383588526856, 0.20357850390045265, 0.06870093858359676, 0.06943148554899126, 0.06469186698495034, -0.02405364020613202, -0.0396252512100386, -0.24546003599830887, 0.16447118518612625, 0.21670104586110825, 0.0638815859749325, 0.29578407670845064, -0.35236509840347263, -0.16575439479365423, 0.11243391310665429, 0.09115922287629362, 0.0013815681404115534, -0.025930265900107066, -0.32071911622034877, 0.10694545293390229, -0.09633789476203292, -0.16261131827016934, -0.0701805703309283, 0.05442035301964272, 0.05392997118791467, -0.2944526684290746, 0.0996713859699013, 0.24452613800633372, 0.10195302948551743, -0.09384906311159986, -0.15647726831140749, -0.002765067199473841, -0.007178052295848988, 0.01828124135193464, 0.08685659190737888, 0.032967611346720604, -0.028067637010265076, -0.07445977414190247, 0.29482613974495936, -0.06463626643087257, -0.20406770624481796, 0.13417270545962087, -0.13567750361797057, -0.17609664665437058, 0.02723868434693207, 0.039176162895991615, 0.19873501543566308, -0.09464920455949348, 0.1946001837516138, -0.0775118129850741, 0.1291180033330691, 0.1569198798224853, 0.03501522260015471, 0.0002406398498191776, 0.04864189871014994, 0.10328004393816452, 0.1092945315973147, -0.0011298999500771363, -0.032522334924515076, -0.3573258746284665, -0.16549796854521623, -0.1932554368191121, 0.1128341346170361, -0.12530574967151328, -0.15021327979405197, 0.3239479392048037, 0.0667952890344487, 0.1274240726049532, 0.0976740658924539, 0.24540943510650673, 0.14371068673535137, 0.01855248026549816, 0.06369765105314161, 0.19842626888860473, 0.202120925385603, 0.1240101622809705, -0.08654795068708297, 0.03268737995408868, 0.2660553983674107] |
712.2134 | Probing the nature of IGR J16493-4348: Spectral and temporal analysis of
the 1-100 keV emission | IGR J16493-4348 was one of the first new sources to be detected by the
INTEGRAL gamma-ray telescope in the 18-100 keV energy band. Based upon spatial
coincidence the source was originally associated with the free radio pulsar PSR
J1649-4349. Presented here are the results of 2.8 Ms of observations made by
the INTEGRAL mission and a 5.6 ks observation with the Swift X-ray Telescope.
Spectral analysis indicates that the source is best modeled by an absorbed
power law with a high energy cut-off at E$_{cut}$~15 keV and a hydrogen
absorbing column of NH=5.4$^{+1.3}_{-1}$ x 10$^{22}$ cm$^{-2}$. Analysis of the
light curves indicates that the source is a weak, persistent gamma-ray emitter
showing indications of variability in the 2-9 and 22-100 keV bands. The average
source flux is ~1.1 x 10^{-10} erg cm$^{-2}$ s$^{-1}$ in the 1-100 keV energy
band. No coherent timing signal is identified at any timescale in the INTEGRAL
or Swift data.
The refined source location and positional uncertainty of IGR J16493-4348
places PSR J1649-4349 outside of the 90% error circle. We conclude that IGR
J16493-4348 is not associated with PSR J1649-4349. Combining the INTEGRAL
observations with Swift/XRT data and information gathered by RXTE and Chandra
we suggest that IGR J16493-4348 is an X-ray binary; and that the source
characteristics favour a high mass X-ray binary although an LMXB nature cannot
be ruled out.
| astro-ph | igr j164934348 was one of the first new sources to be detected by the integral gammaray telescope in the 18100 kev energy band based upon spatial coincidence the source was originally associated with the free radio pulsar psr j16494349 presented here are the results of 28 ms of observations made by the integral mission and a 56 ks observation with the swift xray telescope spectral analysis indicates that the source is best modeled by an absorbed power law with a high energy cutoff at e_cut15 kev and a hydrogen absorbing column of nh5413_1 x 1022 cm2 analysis of the light curves indicates that the source is a weak persistent gammaray emitter showing indications of variability in the 29 and 22100 kev bands the average source flux is 11 x 1010 erg cm2 s1 in the 1100 kev energy band no coherent timing signal is identified at any timescale in the integral or swift data the refined source location and positional uncertainty of igr j164934348 places psr j16494349 outside of the 90 error circle we conclude that igr j164934348 is not associated with psr j16494349 combining the integral observations with swiftxrt data and information gathered by rxte and chandra we suggest that igr j164934348 is an xray binary and that the source characteristics favour a high mass xray binary although an lmxb nature cannot be ruled out | [['igr', 'j164934348', 'was', 'one', 'of', 'the', 'first', 'new', 'sources', 'to', 'be', 'detected', 'by', 'the', 'integral', 'gammaray', 'telescope', 'in', 'the', '18100', 'kev', 'energy', 'band', 'based', 'upon', 'spatial', 'coincidence', 'the', 'source', 'was', 'originally', 'associated', 'with', 'the', 'free', 'radio', 'pulsar', 'psr', 'j16494349', 'presented', 'here', 'are', 'the', 'results', 'of', '28', 'ms', 'of', 'observations', 'made', 'by', 'the', 'integral', 'mission', 'and', 'a', '56', 'ks', 'observation', 'with', 'the', 'swift', 'xray', 'telescope', 'spectral', 'analysis', 'indicates', 'that', 'the', 'source', 'is', 'best', 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712.2135 | Central engine afterglow of Gamma-ray Bursts | Before 2004, nearly all GRB afterglow data could be understood in the context
of the external shocks model. This situation has changed in the past two years,
when it became clear that some afterglow components should be attributed to the
activity of the central engine; i.e., the {\it central engine afterglow}. We
review here the afterglow emission that is directly related to the GRB central
engine. Such an interpretation proposed by Katz, Piran & Sari, peculiar in
pre-{\it Swift} era, has become generally accepted now.
| astro-ph | before 2004 nearly all grb afterglow data could be understood in the context of the external shocks model this situation has changed in the past two years when it became clear that some afterglow components should be attributed to the activity of the central engine ie the it central engine afterglow we review here the afterglow emission that is directly related to the grb central engine such an interpretation proposed by katz piran sari peculiar in preit swift era has become generally accepted now | [['before', '2004', 'nearly', 'all', 'grb', 'afterglow', 'data', 'could', 'be', 'understood', 'in', 'the', 'context', 'of', 'the', 'external', 'shocks', 'model', 'this', 'situation', 'has', 'changed', 'in', 'the', 'past', 'two', 'years', 'when', 'it', 'became', 'clear', 'that', 'some', 'afterglow', 'components', 'should', 'be', 'attributed', 'to', 'the', 'activity', 'of', 'the', 'central', 'engine', 'ie', 'the', 'it', 'central', 'engine', 'afterglow', 'we', 'review', 'here', 'the', 'afterglow', 'emission', 'that', 'is', 'directly', 'related', 'to', 'the', 'grb', 'central', 'engine', 'such', 'an', 'interpretation', 'proposed', 'by', 'katz', 'piran', 'sari', 'peculiar', 'in', 'preit', 'swift', 'era', 'has', 'become', 'generally', 'accepted', 'now']] | [-0.051523821383535146, 0.10404784926539427, -0.12350995477333844, 0.16321329861116338, -0.14692395588338195, -0.13050597451672138, 0.006095749847815338, 0.4623198349881603, -0.24448391706759884, -0.2876829893878066, 0.09526100300998618, -0.29011299393801804, -0.05545511762106634, 0.2635127610480693, -0.07855288460934871, -0.030373569016894662, 0.08425365513645068, -0.037156424563692274, 0.01166548077241484, -0.2598228264454169, 0.2339543545035174, 0.14343528546033854, 0.23765441528675763, 0.02154595326598599, 0.020116407682288843, -0.009382444265556622, -0.039233878944966806, -0.011507963765895062, -0.06770322818104992, 0.023207475341497415, 0.23774941918630915, 0.1612115624327078, 0.23989839485498615, -0.41734223464975156, -0.2782116745520069, 0.14583965041955194, 0.15359471285020013, 0.034063035734446655, -0.0163450048316315, -0.2743486213351948, 0.0320551986974406, -0.2772055384590773, -0.13566725074134048, 0.01969635023606425, 0.11524105992684343, -0.02265813236590475, -0.11318859229066286, 0.07090052894978638, 0.060710772079505385, 0.040052898979959, -0.04741201131234327, 0.025035616840763265, 0.006582182164427386, 0.07417640126912002, 0.11667705148020871, 0.10390482340793473, 0.14079670086839652, -0.14105542992937367, -0.10564294509051075, 0.4014685711632651, -0.018858962462294893, 0.05157503561980753, 0.19985893873093896, -0.17306803860869932, -0.22020717988250754, 0.1362948988182807, 0.08220832220402109, 0.03948419414045491, -0.18727957500872083, 0.00582708096333656, -0.04603823888149247, 0.1602956092052431, 0.018148663027369113, 0.008580314118908831, 0.3062838382166193, 0.13287728608316596, -0.04022749179368628, 0.10772404536683426, -0.10782338620488902, -0.040538008027451944, -0.27318088853933725, -0.13064948760017933, -0.1904179664028539, 0.10901196457232427, -0.06296050585581954, -0.09920736298200686, 0.4043856792275356, 0.1619583180465971, 0.17082948418311686, -0.05021448019353381, 0.2803009114710681, 0.11979006771671485, 0.08409991457564645, 0.15720944526235023, 0.36453879539502776, 0.08017375845607953, 0.18547219688252334, -0.14366767457854676, 0.17664014051544918, 0.04147234759910638] |
712.2136 | Quantum homogenization and state randomization in semi-quantal spin
systems | We investigate dynamics of semi-quantal spin systems in which quantum bits
are attached to classically and possibly stochastically moving classical
particles. The interaction between the quantum bits takes place when the
respective classical particles get close to each other in space. We find that
with Heisenberg XX couplings quantum homogenization takes place after a time
long enough, regardless of the details of the underlying classical dynamics.
This is accompanied by the development of a stationary bipartite entanglement.
If the information on the details of the motion of a stochastic classical
system is disregarded, the stationary state of the whole quantum subsystem is
found to be a complete mixture in the studied cases, though the transients
depend on the properties of the classical motion.
| quant-ph | we investigate dynamics of semiquantal spin systems in which quantum bits are attached to classically and possibly stochastically moving classical particles the interaction between the quantum bits takes place when the respective classical particles get close to each other in space we find that with heisenberg xx couplings quantum homogenization takes place after a time long enough regardless of the details of the underlying classical dynamics this is accompanied by the development of a stationary bipartite entanglement if the information on the details of the motion of a stochastic classical system is disregarded the stationary state of the whole quantum subsystem is found to be a complete mixture in the studied cases though the transients depend on the properties of the classical motion | [['we', 'investigate', 'dynamics', 'of', 'semiquantal', 'spin', 'systems', 'in', 'which', 'quantum', 'bits', 'are', 'attached', 'to', 'classically', 'and', 'possibly', 'stochastically', 'moving', 'classical', 'particles', 'the', 'interaction', 'between', 'the', 'quantum', 'bits', 'takes', 'place', 'when', 'the', 'respective', 'classical', 'particles', 'get', 'close', 'to', 'each', 'other', 'in', 'space', 'we', 'find', 'that', 'with', 'heisenberg', 'xx', 'couplings', 'quantum', 'homogenization', 'takes', 'place', 'after', 'a', 'time', 'long', 'enough', 'regardless', 'of', 'the', 'details', 'of', 'the', 'underlying', 'classical', 'dynamics', 'this', 'is', 'accompanied', 'by', 'the', 'development', 'of', 'a', 'stationary', 'bipartite', 'entanglement', 'if', 'the', 'information', 'on', 'the', 'details', 'of', 'the', 'motion', 'of', 'a', 'stochastic', 'classical', 'system', 'is', 'disregarded', 'the', 'stationary', 'state', 'of', 'the', 'whole', 'quantum', 'subsystem', 'is', 'found', 'to', 'be', 'a', 'complete', 'mixture', 'in', 'the', 'studied', 'cases', 'though', 'the', 'transients', 'depend', 'on', 'the', 'properties', 'of', 'the', 'classical', 'motion']] | [-0.14336064874338425, 0.18872809859855874, -0.08633383905810373, 0.06594852663148801, -0.022031104979597455, -0.14223036193004923, 0.026831881658740085, 0.3001209777454293, -0.2904033207304291, -0.24312534311983158, 0.08855576396208044, -0.2536240777273367, -0.09656846086396192, 0.1813043104106091, -0.02701310723323405, 0.01620008992939824, 0.06686741517235835, 0.1202494311316802, -0.055477608440110716, -0.2684098716704099, 0.2830344682277324, 0.0245971839034521, 0.2392153216949929, -0.01814336937708341, 0.11741214671278206, 0.058357757571100344, 0.03709286007825739, -0.007399527716765212, -0.130587099584085, 0.06046898694845235, 0.1963217453430104, 0.04744648422508281, 0.2581750099675927, -0.4599475507298863, -0.21564560411384376, 0.10100205472057186, 0.1170356657648955, 0.15665367958457702, 0.01642266071658975, -0.31981677845181006, 0.021077698607724613, -0.10676103491502685, -0.11458821813538064, -0.030593058075452966, 0.04571589598114171, 0.028707113824389015, -0.21236378782167575, 0.0805978804393255, 0.11569882026207216, 0.005263944807636544, -0.030501140525746272, -0.031162750084763317, -0.006567869252123968, 0.17056580902786161, 0.005378440645243216, -0.0015017583869715652, 0.14576995659740719, -0.1335689461490942, -0.12085273610503693, 0.4022505617647515, -0.031142574950780082, -0.21776123935493027, 0.19938389076264498, -0.16973060582635727, -0.11024971975286196, 0.12405675261591871, 0.14111031054299536, 0.1031406900762179, -0.1471831148356148, 0.12471636492953961, 0.0017529976652647422, 0.19813936224919024, -0.0009422743109971043, 0.07792507465625924, 0.22739800535202995, 0.13690466779602192, 0.041485333792501834, 0.18741682247680846, -0.07935087623574384, -0.23723905578225365, -0.29466422704782913, -0.1770305725995724, -0.21495756346399222, 0.10686313299977077, -0.07920288628644435, -0.1769174179828885, 0.38503421778313635, 0.1267333551506631, 0.19230004532141534, 0.007309475082646661, 0.2588605215560978, 0.1305517919089009, 0.023052186928538044, 0.09684916968245393, 0.2640785731837093, 0.13730345163835075, 0.09118172312079649, -0.23999754807010779, 0.08107772578553456, 0.06374733555092801] |
712.2137 | Band profiles and band strengths in mixed H2O:CO ices | A laboratory study on the band profiles and band strengths of H2O in CO ice,
and vice versa, is presented and interpreted in terms of two models. The
results show that a mutual interaction takes place between the two species in
the solid, which alters the band positions and band strengths. It is found that
the band strengths of the H2O bulk stretch, bending and libration vibrational
bands decrease linearly by a factor of up to 2 when the CO concentration is
increased from 0 to 80%. By contrast, the band strength of the free OH stretch
increases linearly. The results are compared to a recently performed
quantitative study on H2O:CO2 ice mixtures. It is shown that for mixing ratios
of 1:0.5 H2O:X and higher, the H2O bending mode offers a good tracer to
distinguish between CO2 or CO in H2O ice. Additionally, it is found that the
band strength of the CO fundamental remains constant when the water
concentration is increased in the ice. The integrated absorbance of the 2152
cm-1 CO feature, with respect to the total integrated CO absorption feature, is
found to be a good indicator of the degree of mixing of CO in the H2O:CO
laboratory ice system. From the change in the H2O absorption band strength in
laboratory ices upon mixing we conclude that astronomical water ice column
densities on various lines of sight can be underestimated by up to 25% if
significant amounts of CO and CO2 are mixed in.
| astro-ph | a laboratory study on the band profiles and band strengths of h2o in co ice and vice versa is presented and interpreted in terms of two models the results show that a mutual interaction takes place between the two species in the solid which alters the band positions and band strengths it is found that the band strengths of the h2o bulk stretch bending and libration vibrational bands decrease linearly by a factor of up to 2 when the co concentration is increased from 0 to 80 by contrast the band strength of the free oh stretch increases linearly the results are compared to a recently performed quantitative study on h2oco2 ice mixtures it is shown that for mixing ratios of 105 h2ox and higher the h2o bending mode offers a good tracer to distinguish between co2 or co in h2o ice additionally it is found that the band strength of the co fundamental remains constant when the water concentration is increased in the ice the integrated absorbance of the 2152 cm1 co feature with respect to the total integrated co absorption feature is found to be a good indicator of the degree of mixing of co in the h2oco laboratory ice system from the change in the h2o absorption band strength in laboratory ices upon mixing we conclude that astronomical water ice column densities on various lines of sight can be underestimated by up to 25 if significant amounts of co and co2 are mixed in | [['a', 'laboratory', 'study', 'on', 'the', 'band', 'profiles', 'and', 'band', 'strengths', 'of', 'h2o', 'in', 'co', 'ice', 'and', 'vice', 'versa', 'is', 'presented', 'and', 'interpreted', 'in', 'terms', 'of', 'two', 'models', 'the', 'results', 'show', 'that', 'a', 'mutual', 'interaction', 'takes', 'place', 'between', 'the', 'two', 'species', 'in', 'the', 'solid', 'which', 'alters', 'the', 'band', 'positions', 'and', 'band', 'strengths', 'it', 'is', 'found', 'that', 'the', 'band', 'strengths', 'of', 'the', 'h2o', 'bulk', 'stretch', 'bending', 'and', 'libration', 'vibrational', 'bands', 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712.2138 | Electromagnon excitations in modulated multiferroics | The phenomenological theory of ferroelectricity in spiral magnets presented
in [M. Mostovoy, Phys. Rev. Lett. 96, 067601 (2006)] is generalized to describe
consistently states with both uniform and modulated-in-space ferroelectric
polarizations. A key point in this description is the symmetric part of the
magnetoelectric coupling since, although being irrelevant for the uniform
component, it plays an essential role for the non-uniform part of the
polarization. We illustrate this importance in generic examples of modulated
magnetic systems: longitudinal and transverse spin-density wave states and
planar cycloidal phase. We show that even in the cases with no uniform
ferroelectricity induced, polarization correlation functions follow to the soft
magnetic behavior of the system due to the magnetoelectric effect. Our results
can be easily generalized for more complicated types of magnetic ordering, and
the applications may concern various natural and artificial systems in
condensed matter physics (e.g., magnon properties could be extracted from
dynamic dielectric response measurements).
| cond-mat.mtrl-sci cond-mat.str-el | the phenomenological theory of ferroelectricity in spiral magnets presented in m mostovoy phys rev lett 96 067601 2006 is generalized to describe consistently states with both uniform and modulatedinspace ferroelectric polarizations a key point in this description is the symmetric part of the magnetoelectric coupling since although being irrelevant for the uniform component it plays an essential role for the nonuniform part of the polarization we illustrate this importance in generic examples of modulated magnetic systems longitudinal and transverse spindensity wave states and planar cycloidal phase we show that even in the cases with no uniform ferroelectricity induced polarization correlation functions follow to the soft magnetic behavior of the system due to the magnetoelectric effect our results can be easily generalized for more complicated types of magnetic ordering and the applications may concern various natural and artificial systems in condensed matter physics eg magnon properties could be extracted from dynamic dielectric response measurements | [['the', 'phenomenological', 'theory', 'of', 'ferroelectricity', 'in', 'spiral', 'magnets', 'presented', 'in', 'm', 'mostovoy', 'phys', 'rev', 'lett', '96', '067601', '2006', 'is', 'generalized', 'to', 'describe', 'consistently', 'states', 'with', 'both', 'uniform', 'and', 'modulatedinspace', 'ferroelectric', 'polarizations', 'a', 'key', 'point', 'in', 'this', 'description', 'is', 'the', 'symmetric', 'part', 'of', 'the', 'magnetoelectric', 'coupling', 'since', 'although', 'being', 'irrelevant', 'for', 'the', 'uniform', 'component', 'it', 'plays', 'an', 'essential', 'role', 'for', 'the', 'nonuniform', 'part', 'of', 'the', 'polarization', 'we', 'illustrate', 'this', 'importance', 'in', 'generic', 'examples', 'of', 'modulated', 'magnetic', 'systems', 'longitudinal', 'and', 'transverse', 'spindensity', 'wave', 'states', 'and', 'planar', 'cycloidal', 'phase', 'we', 'show', 'that', 'even', 'in', 'the', 'cases', 'with', 'no', 'uniform', 'ferroelectricity', 'induced', 'polarization', 'correlation', 'functions', 'follow', 'to', 'the', 'soft', 'magnetic', 'behavior', 'of', 'the', 'system', 'due', 'to', 'the', 'magnetoelectric', 'effect', 'our', 'results', 'can', 'be', 'easily', 'generalized', 'for', 'more', 'complicated', 'types', 'of', 'magnetic', 'ordering', 'and', 'the', 'applications', 'may', 'concern', 'various', 'natural', 'and', 'artificial', 'systems', 'in', 'condensed', 'matter', 'physics', 'eg', 'magnon', 'properties', 'could', 'be', 'extracted', 'from', 'dynamic', 'dielectric', 'response', 'measurements']] | [-0.16372593060145094, 0.17265687785999903, -0.04118222960992562, 0.02933942541998151, -0.09138376973199332, -0.07289493407141294, -0.0016439048093836138, 0.3742983506634733, -0.23792439125345663, -0.281068866929064, 0.021306357878439177, -0.2693848408456423, -0.20188254220966276, 0.19932859060231176, 0.0012447589465620502, 0.01693985105834482, -0.03908421366941184, -0.033912457755476924, -0.06454816818335987, -0.19078098854901182, 0.24866604013060103, 0.027998399914593887, 0.3101335352391547, 0.0768254604067234, 0.04459889603174285, 0.05466062129808232, 0.05040749420977771, 0.03704384475297999, -0.10059143557385364, 0.0491718885000018, 0.2645061954328581, -0.013114171879773108, 0.1864324529279048, -0.4518254864220785, -0.22675002353429324, 0.0773857022382763, 0.08474254495005928, 0.14807472445551825, -0.05731623587925187, -0.29129857236260415, 0.06333353507505199, -0.15679096504166995, -0.1680329405018036, -0.1493144704688908, 0.054120749124134615, 0.015719232593881992, -0.2868827183188143, 0.11374892775179041, 0.12095974983080038, 0.07628297471496838, -0.06525708772920516, -0.11901063392083747, -0.034974322849360376, 0.04951504737274438, 0.04422107486082056, 0.07483751155491548, 0.12600010204196765, -0.12744520924405645, -0.13414567658509627, 0.3718401457349591, -0.028103587808186153, -0.16646865647307763, 0.18220389321514263, -0.16885042882644702, -0.12022217523787689, 0.12368668407966561, 0.1795327991697419, 0.0968147796156218, -0.14212294272609696, 0.08071095649799061, -0.010593477853890724, 0.1592639660046803, 0.05656991047562649, 0.08850974608012259, 0.27249728262868544, 0.13128981508148083, 0.005558843483118378, 0.16036056115335187, -0.06554837311334316, -0.09365595985567876, -0.2861504968616569, -0.13171852071035578, -0.18659980896558143, 0.03975861412748642, -0.05808144516960351, -0.16920540379421994, 0.4130935766394959, 0.15451710020325538, 0.1546017638421525, -0.07895557378535929, 0.25191537174242024, 0.08216496013006233, 0.048404809691949394, 0.06505072618131556, 0.28720187445769446, 0.1991962825768436, 0.13725338327784758, -0.24328130777055607, 0.07330178613435255, -0.004845888415561212] |
712.2139 | Pr\'ediction de l'\'evolution granulom\'etrique et morphologique d'une
poudre dans un four tournant | The dry conversion process for making UO2 nuclear fuel pellets consists of
two steps: hydrolysis of UF6 to UO2F2, followed by reducing pyrohydrolysis to
UO2 in a rotary kiln. The physical characteristics (morphology, particle size
distribution) of the powder obtained at the kiln end determine the final
properties (sinterability, flow-ability, green strength). We developed a
mathematical model describing the morphological evolution of the powder in the
rotary kiln, which enables us to predict morphological characteristics of UO2
powder as functions of the processing conditions. Firstly, the powder flow in
the kiln was modelled, including the exchanges between a dense phase (powder
bed) and an airborne phase (particles showering down). An original feature of
this model is to consider the effect of lifters for calculating the dynamic
variables. Secondly, the phenomena responsible for the changes in morphology
and grain size were identified and modelled. A population of fractal
agglomerates was considered, whose number and size change due to Brownian and
sedimentation agglomeration, sintering, breaking up, and chemical reactions.
The model is based on population balances and the particle size distribution is
divided into sections. Results of both dynamic and morphological calculations
are compared to available measurements. Lastly, the influence of the different
mechanisms of morphological evolution on the final size distribution is
analysed.
| cond-mat.mtrl-sci | the dry conversion process for making uo2 nuclear fuel pellets consists of two steps hydrolysis of uf6 to uo2f2 followed by reducing pyrohydrolysis to uo2 in a rotary kiln the physical characteristics morphology particle size distribution of the powder obtained at the kiln end determine the final properties sinterability flowability green strength we developed a mathematical model describing the morphological evolution of the powder in the rotary kiln which enables us to predict morphological characteristics of uo2 powder as functions of the processing conditions firstly the powder flow in the kiln was modelled including the exchanges between a dense phase powder bed and an airborne phase particles showering down an original feature of this model is to consider the effect of lifters for calculating the dynamic variables secondly the phenomena responsible for the changes in morphology and grain size were identified and modelled a population of fractal agglomerates was considered whose number and size change due to brownian and sedimentation agglomeration sintering breaking up and chemical reactions the model is based on population balances and the particle size distribution is divided into sections results of both dynamic and morphological calculations are compared to available measurements lastly the influence of the different mechanisms of morphological evolution on the final size distribution is analysed | [['the', 'dry', 'conversion', 'process', 'for', 'making', 'uo2', 'nuclear', 'fuel', 'pellets', 'consists', 'of', 'two', 'steps', 'hydrolysis', 'of', 'uf6', 'to', 'uo2f2', 'followed', 'by', 'reducing', 'pyrohydrolysis', 'to', 'uo2', 'in', 'a', 'rotary', 'kiln', 'the', 'physical', 'characteristics', 'morphology', 'particle', 'size', 'distribution', 'of', 'the', 'powder', 'obtained', 'at', 'the', 'kiln', 'end', 'determine', 'the', 'final', 'properties', 'sinterability', 'flowability', 'green', 'strength', 'we', 'developed', 'a', 'mathematical', 'model', 'describing', 'the', 'morphological', 'evolution', 'of', 'the', 'powder', 'in', 'the', 'rotary', 'kiln', 'which', 'enables', 'us', 'to', 'predict', 'morphological', 'characteristics', 'of', 'uo2', 'powder', 'as', 'functions', 'of', 'the', 'processing', 'conditions', 'firstly', 'the', 'powder', 'flow', 'in', 'the', 'kiln', 'was', 'modelled', 'including', 'the', 'exchanges', 'between', 'a', 'dense', 'phase', 'powder', 'bed', 'and', 'an', 'airborne', 'phase', 'particles', 'showering', 'down', 'an', 'original', 'feature', 'of', 'this', 'model', 'is', 'to', 'consider', 'the', 'effect', 'of', 'lifters', 'for', 'calculating', 'the', 'dynamic', 'variables', 'secondly', 'the', 'phenomena', 'responsible', 'for', 'the', 'changes', 'in', 'morphology', 'and', 'grain', 'size', 'were', 'identified', 'and', 'modelled', 'a', 'population', 'of', 'fractal', 'agglomerates', 'was', 'considered', 'whose', 'number', 'and', 'size', 'change', 'due', 'to', 'brownian', 'and', 'sedimentation', 'agglomeration', 'sintering', 'breaking', 'up', 'and', 'chemical', 'reactions', 'the', 'model', 'is', 'based', 'on', 'population', 'balances', 'and', 'the', 'particle', 'size', 'distribution', 'is', 'divided', 'into', 'sections', 'results', 'of', 'both', 'dynamic', 'and', 'morphological', 'calculations', 'are', 'compared', 'to', 'available', 'measurements', 'lastly', 'the', 'influence', 'of', 'the', 'different', 'mechanisms', 'of', 'morphological', 'evolution', 'on', 'the', 'final', 'size', 'distribution', 'is', 'analysed']] | [-0.04449564470624346, 0.18001689071977026, -0.11913518578874652, 0.009078213237392068, -0.020755281917523575, -0.051472918776590285, 0.03846539465129001, 0.38283569655385596, -0.2712736351807651, -0.3220254488235883, 0.0613638076320754, -0.28193360774078224, -0.06609895527886414, 0.15188414807504924, 0.002876352534393232, 0.06097427342069206, 0.013916930580360183, -0.05234404782314549, -0.029936447007131526, -0.1993288158697553, 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712.214 | How to remove the boundary in CFT - an operator algebraic procedure | The relation between two-dimensional conformal quantum field theories with
and without a timelike boundary is explored.
| math-ph hep-th math.MP math.OA | the relation between twodimensional conformal quantum field theories with and without a timelike boundary is explored | [['the', 'relation', 'between', 'twodimensional', 'conformal', 'quantum', 'field', 'theories', 'with', 'and', 'without', 'a', 'timelike', 'boundary', 'is', 'explored']] | [-0.19310990849044174, 0.23767581209540367, -0.07246451522223651, 0.04572123327670852, -0.12719406036194414, -0.2444146817724686, -0.049269082795944996, 0.37897740211337805, -0.1699446152197197, -0.22285449970513582, 0.029958659899421036, -0.24019053910160437, -0.16564994864165783, 0.16541607212275267, 0.028327785024885088, 0.15627992374356836, -0.048357225488871336, 0.0831412774277851, -0.21247109695104882, -0.17346442992857192, 0.41735766240162775, -0.03906616461608792, 0.3062152739148587, 0.08995627879630774, 0.10889902536291629, 0.02748640123172663, 0.057893777382560074, 0.11051837779814377, -0.17999471415532753, 0.11070343662868254, 0.19116239552386105, 0.032132183434441686, 0.19463296048343182, -0.46632931532803923, -0.30198550963541493, 0.044241360505111516, 0.09727690496947616, 0.10974210803397, -0.04151054703106638, -0.32312736799940467, 0.049420235271099955, -0.0701417033560574, -0.1777303806738928, -0.007202123117167503, -0.03308828759327298, -0.15293719829060137, -0.17954039527103305, 0.11601076491933782, 0.02933559217490256, 0.19571210711728781, -0.07565358415013179, 0.10808156779967248, -0.05533974012359977, 0.1076514461019542, 0.07387808551720809, 0.13274796921177767, 0.05563704506494105, -0.25534677936229855, -0.15946401236578822, 0.37805974413640797, -0.042417268035933375, -0.31444112258031964, 0.19328877446241677, -0.19459024170646444, -0.029548569640610367, -0.0032487709540873766, 0.0473737008869648, 0.10726466216146946, -0.1643252582871355, 0.27255736314327805, -0.010985992492351215, 0.09965219546575099, 0.08702232432551682, -0.023371554212644696, 0.33833197504282, 0.04706239851657301, 0.005911924934480339, 0.16346642398275435, -0.029978036749525927, -0.194844379555434, -0.4325135601684451, -0.25849795987596735, -0.1145341747906059, 0.11896486127807293, -0.17675039506775647, -0.19176169473212212, 0.282724967750255, 0.0714319805656487, 0.18369132751831785, 0.05673003545962274, 0.20638291584327817, 0.12072696315590292, 0.13653794361744076, 0.12075081473449245, 0.2564450007630512, 0.2489741871249862, 0.05158652338286629, -0.26001883696881123, -0.12171287572709844, 0.1402970369963441] |
712.2141 | Numerical Sensitivity and Efficiency in the Treatment of Epistemic and
Aleatory Uncertainty | The treatment of both aleatory and epistemic uncertainty by recent methods
often requires an high computational effort. In this abstract, we propose a
numerical sampling method allowing to lighten the computational burden of
treating the information by means of so-called fuzzy random variables.
| cs.AI math.PR | the treatment of both aleatory and epistemic uncertainty by recent methods often requires an high computational effort in this abstract we propose a numerical sampling method allowing to lighten the computational burden of treating the information by means of socalled fuzzy random variables | [['the', 'treatment', 'of', 'both', 'aleatory', 'and', 'epistemic', 'uncertainty', 'by', 'recent', 'methods', 'often', 'requires', 'an', 'high', 'computational', 'effort', 'in', 'this', 'abstract', 'we', 'propose', 'a', 'numerical', 'sampling', 'method', 'allowing', 'to', 'lighten', 'the', 'computational', 'burden', 'of', 'treating', 'the', 'information', 'by', 'means', 'of', 'socalled', 'fuzzy', 'random', 'variables']] | [-0.05786090902781092, 0.08377052981407804, -0.08493755643017763, 0.07274105024881401, -0.12947768627037837, -0.07755733016055337, 0.1483522131605897, 0.3582578475565411, -0.2758370859678401, -0.3962014661885278, 0.11825982435487298, -0.20089639437406562, -0.13211326311927202, 0.13931741829701635, -0.1977248429429046, 0.14064639308598154, 0.05688311454168586, -0.014424204739720323, -0.066698208938591, -0.2410647964624818, 0.26853147694342877, 0.09257559582244518, 0.26121072635747666, -0.010822472357472707, 0.13946542545589943, 0.06520550027706248, -0.13331303030772265, 0.05672161583788693, -0.0840777562021516, 0.22638457848928695, 0.29693788421058726, 0.21391648164582114, 0.45870089738868003, -0.4714427080958389, -0.24253051747502977, 0.08923418513434224, 0.11564404411284729, 0.13694205763208311, -0.021376602589910806, -0.3086220735337499, -0.009619082973966764, -0.20735881165709608, -0.07672160757748886, -0.16533008456869094, -0.05715887738001901, -0.01983441838650791, -0.277775339782238, 0.07562592315899078, 0.057257364969700575, 0.10124787157618029, 0.019978847722847793, -0.10847634237346261, 0.03717845205087648, 0.07815279451003948, 0.05014972908552303, -0.005198558903472541, 0.0689566794263069, -0.12914991064192077, -0.16530570456065063, 0.3633666995826156, 0.06170208273498818, -0.2832719297689754, 0.17827998008579016, -0.06249279903551174, -0.1573440778653982, 0.15791325446023324, 0.15369647957904395, 0.10045380708436634, -0.17479245709038752, 0.09320922095063251, 0.042749424529976626, 0.1800594458919625, -0.015222930652630884, 0.021524081374843452, 0.12009875466884655, 0.23499904568631982, 0.029990244050358616, 0.13131549275415236, -0.05660615458564703, -0.1225532783671867, -0.24353331260296496, -0.12616204505049905, -0.14751645307554756, -0.023909587153168613, -0.13583600676725457, -0.1609482665567897, 0.3273165025856606, 0.2236954593207947, 0.13052876554646117, 0.08906087396276552, 0.405379441068616, 0.12011594364289628, 0.01529705940290939, 0.04797480294350968, 0.14543350879102945, 0.11146728762663728, 0.07583758915059788, -0.2119963961805022, 0.11467769552769443, 0.06731755820341236] |
712.2142 | Thermodynamics of Apparent Horizon in Brane World Scenarios | Applying the Clausius relation, $\delta Q=TdS$, to the apparent horizon of
FRW universe in brane world scenarios, we show that an explicit entropy
expression associated with the apparent horizon can be obtained. On the
apparent horizon, the relation, $dE=TdS +WdV$, also holds in the brane world
scenarios. We show these results in the RSII model, warped DGP model and the
more general case with a Gauss-Bonnet term in the bulk and an intrinsic
curvature term on the brane.
| hep-th gr-qc | applying the clausius relation delta qtds to the apparent horizon of frw universe in brane world scenarios we show that an explicit entropy expression associated with the apparent horizon can be obtained on the apparent horizon the relation detds wdv also holds in the brane world scenarios we show these results in the rsii model warped dgp model and the more general case with a gaussbonnet term in the bulk and an intrinsic curvature term on the brane | [['applying', 'the', 'clausius', 'relation', 'delta', 'qtds', 'to', 'the', 'apparent', 'horizon', 'of', 'frw', 'universe', 'in', 'brane', 'world', 'scenarios', 'we', 'show', 'that', 'an', 'explicit', 'entropy', 'expression', 'associated', 'with', 'the', 'apparent', 'horizon', 'can', 'be', 'obtained', 'on', 'the', 'apparent', 'horizon', 'the', 'relation', 'detds', 'wdv', 'also', 'holds', 'in', 'the', 'brane', 'world', 'scenarios', 'we', 'show', 'these', 'results', 'in', 'the', 'rsii', 'model', 'warped', 'dgp', 'model', 'and', 'the', 'more', 'general', 'case', 'with', 'a', 'gaussbonnet', 'term', 'in', 'the', 'bulk', 'and', 'an', 'intrinsic', 'curvature', 'term', 'on', 'the', 'brane']] | [-0.138534270625454, 0.060539262581583805, -0.09532921941568837, 0.1606298876591982, -0.1171902015279883, -0.15890074285487524, -0.0344646613065822, 0.305126240870987, -0.2007337678462649, -0.2669817698904528, 0.08546922171864516, -0.30283076653424174, -0.13687843422536763, 0.1702584444055668, -0.13365837710742384, -0.03535427554892615, -0.010657508117266191, 0.06366843541558737, -0.0515196676670502, -0.2546088963460464, 0.38826867391188175, 0.06397227009232992, 0.2869157030079991, 0.08331567211410938, 0.11950097992443122, -0.07693109233290531, 0.024055052444171637, 0.11283179124494871, -0.20708584531483865, 0.05531855099849427, 0.16521763489939845, 0.10139117195891838, 0.130321774392938, -0.4265389444354253, -0.24159832794229702, 0.12595982909298095, 0.15323308450528061, 0.1488778556768711, -0.016446027207189802, -0.3115151141000052, 0.005301708749567087, -0.21019619157633337, -0.15912189510149452, 0.0051289038696827795, 0.047517748430180244, -0.16364411438982457, -0.1828954551512232, 0.1749784659489076, 0.051725820948680244, -0.034960837121336505, -0.15169759505452254, -0.025156066190296162, -0.05276637516605357, 0.03549566933622536, 0.16892546109365633, -0.003414414796190193, 0.10567519342144713, -0.1271806996112737, -0.11329169190811136, 0.32937796892992294, -0.13773674397872618, -0.21897933958695295, 0.10341199112530702, -0.17687344233481547, -0.07888383005793469, -0.011852727692502622, 0.08643788265255399, 0.14311766376097998, -0.14658295387067857, 0.2046226349715979, 0.007278942270204425, 0.1546076458448974, 0.0984967312632272, 0.0009510316565119398, 0.2847197874664114, 0.11043998303238112, 0.030676263553173974, 0.16616867186698633, -0.06119027281947171, -0.1560449873986027, -0.42404505151968735, -0.17810127231029746, -0.12850864238750476, 0.06627451595014487, -0.2927211281863632, -0.14617547213744658, 0.28542695951480895, 0.12221560740055373, 0.18079926452050224, 0.09758686465330613, 0.22665260237856552, 0.09089473838013454, 0.04319651521002062, 0.12258726413337848, 0.30390180442004633, 0.0357566283394893, 0.16353637717950803, -0.25715026956720227, -0.033617713855794415, 0.06946499022440268] |
712.2143 | Complexes of Injective Words and Their Commutation Classes | Let $S$ be a finite alphabet. An injective word over $S$ is a word over $S$
such that each letter in $S$ appears at most once in the word. We study Boolean
cell complexes of injective words over $S$ and their commutation classes. This
generalizes work by Farmer and by Bj\"orner and Wachs on the complex of all
injective words.
| math.CO math.KT | let s be a finite alphabet an injective word over s is a word over s such that each letter in s appears at most once in the word we study boolean cell complexes of injective words over s and their commutation classes this generalizes work by farmer and by bjorner and wachs on the complex of all injective words | [['let', 's', 'be', 'a', 'finite', 'alphabet', 'an', 'injective', 'word', 'over', 's', 'is', 'a', 'word', 'over', 's', 'such', 'that', 'each', 'letter', 'in', 's', 'appears', 'at', 'most', 'once', 'in', 'the', 'word', 'we', 'study', 'boolean', 'cell', 'complexes', 'of', 'injective', 'words', 'over', 's', 'and', 'their', 'commutation', 'classes', 'this', 'generalizes', 'work', 'by', 'farmer', 'and', 'by', 'bjorner', 'and', 'wachs', 'on', 'the', 'complex', 'of', 'all', 'injective', 'words']] | [-0.11288364618085325, 0.1492645463384785, 0.015222364532140395, 0.0408051523535202, -0.05803943458789339, -0.141432381204019, 0.07028301482399305, 0.3816354462256034, -0.37420271542893413, -0.18992868573404847, 0.023316430237415867, -0.29094658997394923, -0.12817785780255994, 0.19258581782729986, -0.16318568999413402, -0.052984348690370095, 0.03672017372834186, 0.1422974782374998, -0.0734424291838271, -0.3259421347019573, 0.3609178328886628, -0.0312800457701087, 0.1660347289405763, 0.005743038933724165, 0.1179772396106273, 0.0284603262184343, -0.09114198767735313, 0.005578144263320913, -0.1594077323453045, 0.09906104866725703, 0.3766068318237861, 0.1667360718594864, 0.24673670452708998, -0.3320886804101368, -0.19537142986276498, 0.2180111150140874, 0.139009831364577, 0.012888254504650832, 0.04925944687759814, -0.2554670980530015, 0.16501570700978238, -0.21624092948623003, 0.03338006228829424, 0.012997157104109647, 0.19720656519445282, 0.028919016705670705, -0.23761395871794472, -0.04350612597578826, 0.18797330458958944, 0.11986798526098331, -0.028372241001731406, -0.12826284140658875, -0.04801951953365157, 0.048506428968782225, -0.04873515054350719, 0.13266675923562918, 0.041163281188346446, -0.07031321586497749, -0.1719249416453143, 0.34963966836221516, -0.0839659915616115, -0.2236908019830783, 0.14699638718739153, -0.16355778351426126, -0.11687162397429347, 0.10067013041116298, 0.05466162251929442, 0.1337167379950794, -0.06303438358008862, 0.21490977420762647, -0.21723542280184727, 0.15296823274499427, 0.22163950266937416, 0.029193028442872068, 0.1597860215154166, 0.1289038701429187, 0.024605742981657387, 0.11424119379177379, 0.002672435254013787, 0.06873163254155466, -0.2785336901123325, -0.18048953384471436, -0.17388611855955485, 0.10114256247179583, -0.10211660513426371, -0.15540662867327532, 0.41045165900141, 0.08767014811746776, 0.18554430207974898, 0.15016976178934177, 0.1811357349040918, 0.017975768897061546, 0.07336170558119193, 0.07248822872061282, -0.03474946320056915, 0.16864775460368644, -0.02615496198607919, -0.1591998332568134, 0.10285860427344838, 0.21284473824004332] |
712.2144 | Cylindrical spacetimes with a cosmological constant and their sources | We review and investigate some basic properties of static, cylindrically
symmetric spacetimes with non-zero cosmological constant, find non-singular
sheet sources of these spacetimes and discuss their characteristics, and
clarify their relation to the 4D black-string solutions.
| gr-qc | we review and investigate some basic properties of static cylindrically symmetric spacetimes with nonzero cosmological constant find nonsingular sheet sources of these spacetimes and discuss their characteristics and clarify their relation to the 4d blackstring solutions | [['we', 'review', 'and', 'investigate', 'some', 'basic', 'properties', 'of', 'static', 'cylindrically', 'symmetric', 'spacetimes', 'with', 'nonzero', 'cosmological', 'constant', 'find', 'nonsingular', 'sheet', 'sources', 'of', 'these', 'spacetimes', 'and', 'discuss', 'their', 'characteristics', 'and', 'clarify', 'their', 'relation', 'to', 'the', '4d', 'blackstring', 'solutions']] | [-0.19289149592320123, 0.09495388144730693, -0.006183761844618453, 0.12265419884998766, -0.13535451469942927, -0.16576739121228456, -0.08250222841484679, 0.38260313247640926, -0.2025680750504964, -0.22639184972892204, 0.11363491688906732, -0.3014019006708016, -0.16317931214709663, 0.08149794411535065, -0.016380239847219653, 0.022688981300840776, -0.05929124577798777, 0.00031371135264635086, -0.19333825037918156, -0.2184236996108666, 0.4523402980994433, 0.03490067019851671, 0.2847564509138465, 0.03488428668222494, 0.10837504205604394, -0.0718109691903616, -0.10518387485192054, 0.04795378234444393, -0.29012716339073247, 0.04291278690410157, 0.18556713151176357, 0.14597351235958436, 0.12893371924292296, -0.4523571114987135, -0.2338207564057989, 0.07571543022317605, 0.10752980712439036, 0.17209468443292686, -0.08249648067996734, -0.2808771162914733, 0.11801646318700579, -0.14453133899304602, -0.25729054729971623, -0.10890917606755263, 0.05538567497084538, 0.0647110882629123, -0.0832466261797688, 0.09635454706019825, 0.04230622440162632, -0.014171578740287159, -0.17178371515021557, -0.09602847445704457, -0.007784829953581923, 0.07882626663841721, 0.15347223265820908, -0.07153149011881194, 0.10975991858221176, -0.16768589564081696, -0.1285649914191001, 0.4095695397506158, -0.029759061108860705, -0.23808778222236368, 0.15223687020544377, -0.21025785360123134, -0.06479962551707609, -0.006533335266997003, 0.15477622909626612, 0.1891662046675467, -0.13183971936814487, 0.14877394462140123, 0.02894624260564645, 0.09366510762871864, 0.13226552879334325, 0.10108328095844223, 0.35211466542548603, -0.015446426295157935, -0.020808159567726154, 0.13189870698261075, 0.0357889881512771, -0.11803533096422648, -0.37215629033744335, -0.1589985892512939, -0.03135859314352274, 0.15244644838902685, -0.19378186554280952, -0.26715849837799194, 0.3785395598452952, 0.13217289425988887, 0.1586431419192296, 0.05021660580920676, 0.18100037436104482, 0.014203720829553075, -0.06525794161199075, 0.10472721618134528, 0.2945698476824974, 0.20064986600644058, 0.12106861339675055, -0.2113445483199838, -0.07856879000448519, 0.03613373655308452] |
712.2145 | Atomic four-wave mixing via condensate collisions | We perform a theoretical analysis of atomic four-wave mixing via a collision
of two Bose-Einstein condensates of metastable helium atoms, and compare the
results to a recent experiment. We calculate atom-atom pair correlations within
the scattering halo produced spontaneously during the collision. We also
examine the expected relative number squeezing of atoms on the sphere. The
analysis includes first-principles quantum simulations using the positive
P-representation method. We develop a unified description of the experimental
and simulation results.
| quant-ph | we perform a theoretical analysis of atomic fourwave mixing via a collision of two boseeinstein condensates of metastable helium atoms and compare the results to a recent experiment we calculate atomatom pair correlations within the scattering halo produced spontaneously during the collision we also examine the expected relative number squeezing of atoms on the sphere the analysis includes firstprinciples quantum simulations using the positive prepresentation method we develop a unified description of the experimental and simulation results | [['we', 'perform', 'a', 'theoretical', 'analysis', 'of', 'atomic', 'fourwave', 'mixing', 'via', 'a', 'collision', 'of', 'two', 'boseeinstein', 'condensates', 'of', 'metastable', 'helium', 'atoms', 'and', 'compare', 'the', 'results', 'to', 'a', 'recent', 'experiment', 'we', 'calculate', 'atomatom', 'pair', 'correlations', 'within', 'the', 'scattering', 'halo', 'produced', 'spontaneously', 'during', 'the', 'collision', 'we', 'also', 'examine', 'the', 'expected', 'relative', 'number', 'squeezing', 'of', 'atoms', 'on', 'the', 'sphere', 'the', 'analysis', 'includes', 'firstprinciples', 'quantum', 'simulations', 'using', 'the', 'positive', 'prepresentation', 'method', 'we', 'develop', 'a', 'unified', 'description', 'of', 'the', 'experimental', 'and', 'simulation', 'results']] | [-0.10722791773037284, 0.18546711407940497, -0.11594890414090077, 0.07305522764996662, 0.04993873834307608, -0.07333681924123463, 0.07466067408526002, 0.37008841214822485, -0.2004524074168271, -0.26154883561486547, -0.03122201194236805, -0.3231056746966266, -0.09239272595467893, 0.16815305042213627, 0.08606252851654086, 0.08318657618221621, 0.11185432987456972, -0.036026805288509114, -0.08984048992649397, -0.21039865978739478, 0.31067407077976633, 0.054499992246546045, 0.2678972782397812, 0.09354484480406557, 0.09221688599337811, 0.017867063414063546, -0.03168545703270605, -0.025695719042575206, -0.2056111780164594, 0.11435344169375958, 0.17739853887915513, 0.07586448624512399, 0.21553995300616538, -0.48254212369392446, -0.1763417858678799, 0.09193980597056352, 0.15563388505055534, 0.21528767056872028, -0.104292164128818, -0.3073275273472264, -0.020642653410020587, -0.21383641473948956, -0.12267540051759064, -0.13489508156531624, -0.036125325833677085, 0.030852202592151507, -0.2883672334023981, 0.08135170122123227, 0.0133657399879643, 0.08320363737981427, -0.06258859310008875, -0.06340293578997061, 0.0120203498805353, 0.018648007468852614, -0.01518458447286061, -0.035034122518505656, 0.18419683390817085, -0.08236959633453712, -0.11841086581252612, 0.39771800601927493, -0.1278346467206811, -0.11730083711929136, 0.21247916971030947, -0.13648791577328334, -0.07449900889285392, 0.11217239259609155, 0.1867694255061351, 0.11406641334972599, -0.09547501999594561, 0.024842576479067565, -0.09765325608404728, 0.18366122921904574, 0.08645027986268042, 0.02859892204476448, 0.1995547032588488, 0.1960405877900201, -0.030903584952768567, 0.16963479614078805, -0.1428339004202129, -0.16045798159010902, -0.3286225420616374, -0.1377640710176005, -0.20708685432403506, 0.0297057863896374, -0.0497331954111714, -0.10084992977367206, 0.3801555032781386, 0.14595724612039018, 0.20671877909342867, -0.005085793602002131, 0.30821305385173914, 0.09661223637786778, -0.015388920162381097, -0.02146978927594791, 0.29114666772256426, 0.20028027662305864, 0.06180268220071282, -0.31527756207755636, -0.01919379833535376, 0.05042147702634238] |
712.2146 | An example of noncommutative deformations | We compute the noncommutative deformations of a family of modules over the
first Weyl algebra. This example shows some important properties of
noncommutative deformation theory that separates it from commutative
deformation theory.
| math.AG math.RT | we compute the noncommutative deformations of a family of modules over the first weyl algebra this example shows some important properties of noncommutative deformation theory that separates it from commutative deformation theory | [['we', 'compute', 'the', 'noncommutative', 'deformations', 'of', 'a', 'family', 'of', 'modules', 'over', 'the', 'first', 'weyl', 'algebra', 'this', 'example', 'shows', 'some', 'important', 'properties', 'of', 'noncommutative', 'deformation', 'theory', 'that', 'separates', 'it', 'from', 'commutative', 'deformation', 'theory']] | [-0.16437824186868966, 0.07404754587332718, -0.14561950240749866, 0.04323492514595273, -0.07409199903486297, -0.117544393564458, -0.11174723043950507, 0.29023362521547824, -0.4164414588594809, -0.17190395086072385, 0.06450020305055659, -0.23026552726514637, -0.298249120649416, 0.20303642094950192, -0.13699259862187319, -0.0494731770013459, 0.006634403733187355, 0.10316918769967742, -0.18948010504391277, -0.22523044096305966, 0.39582486616563983, 0.027239954768447205, 0.25666731913224794, -0.020972977348719724, 0.11345454995171167, 0.06137345037132036, -0.01255160546861589, 0.05200573633192107, -0.18966147499418184, 0.14013105432968587, 0.307550557423383, 0.03377147260471247, 0.2001914664870128, -0.3515263843582943, -0.16199745837366208, 0.09134011407149956, 0.1067251545318868, 0.09175432694610208, -0.05109085189178586, -0.22531535738380626, 0.06679017969872802, -0.30540105840191245, -0.14847911251126789, -0.11975168524077162, 0.06373348872875795, -0.066842092492152, -0.17369743541348726, 0.012078696541721001, 0.10276592231821269, 0.1086379962216597, -0.15486105857416987, -0.028459296765504405, -0.04602198186330497, 0.06791283778147772, 0.00475265528075397, -0.040070984890917316, 0.15673557711124886, -0.0778314966664766, -0.1121905364561826, 0.34055796251595893, 0.026580440055113286, -0.1788517328677699, 0.08608024343266152, -0.18554277636576444, -0.2205182485486148, 0.11065714670985471, 0.07288769248407334, 0.17710570141207427, -0.008678864396642894, 0.25140487938188016, -0.11055620593833737, 0.06494145901524462, 0.07487690445850603, 0.03380950809514616, 0.1959761556936428, 0.10549654316855595, 0.028000434598652646, 0.18971511229756288, 0.003822018567007035, -0.1459215862560086, -0.4691771571524441, -0.19599618366919458, -0.09997863139869878, 0.18196316903049592, -0.1365967597157578, -0.2447623141342774, 0.4483931661816314, 0.15094150888035074, 0.17259194070356898, 0.027255396882537752, 0.17522964032832533, 0.043836837852722965, 0.13457537483191118, -0.02175015932880342, 0.18782595549873804, 0.267575937876245, -0.001345265733107226, -0.1413884104040335, -0.08403486067254562, 0.21164499956648797] |
712.2147 | Sobolev homeomorphisms and Poincare inequality | We study global regularity properties of Sobolev homeomorphisms on
$n$-dimensional Riemannian manifolds under the assumption of $p$-integrability
of its first weak derivatives in degree $p\geq n-1$. We prove that inverse
homeomorphisms have integrable first weak derivatives. For the case $p>n$ we
obtain necessary conditions for existence of Sobolev homeomorphisms between
manifolds. These necessary conditions based on Poincar\'e type inequality: $$
\inf_{c\in \mathbb R} \|u-c\mid L_{\infty}(M)\|\leq K \|u\mid
L^1_{\infty}(M)\|. $$ As a corollary we obtain the following geometrical
necessary condition:
{\em If there exists a Sobolev homeomorphisms $\phi: M \to M'$, $\phi\in
W^1_p(M, M')$, $p>n$, $J(x,\phi)\ne 0$ a. e. in $M$, of compact smooth
Riemannian manifold $M$ onto Riemannian manifold $M'$ then the manifold $M'$
has finite geodesic diameter.}}
| math.FA math.CV | we study global regularity properties of sobolev homeomorphisms on ndimensional riemannian manifolds under the assumption of pintegrability of its first weak derivatives in degree pgeq n1 we prove that inverse homeomorphisms have integrable first weak derivatives for the case pn we obtain necessary conditions for existence of sobolev homeomorphisms between manifolds these necessary conditions based on poincare type inequality inf_cin mathbb r ucmid l_inftymleq k umid l1_inftym as a corollary we obtain the following geometrical necessary condition em if there exists a sobolev homeomorphisms phi m to m phiin w1_pm m pn jxphine 0 a e in m of compact smooth riemannian manifold m onto riemannian manifold m then the manifold m has finite geodesic diameter | [['we', 'study', 'global', 'regularity', 'properties', 'of', 'sobolev', 'homeomorphisms', 'on', 'ndimensional', 'riemannian', 'manifolds', 'under', 'the', 'assumption', 'of', 'pintegrability', 'of', 'its', 'first', 'weak', 'derivatives', 'in', 'degree', 'pgeq', 'n1', 'we', 'prove', 'that', 'inverse', 'homeomorphisms', 'have', 'integrable', 'first', 'weak', 'derivatives', 'for', 'the', 'case', 'pn', 'we', 'obtain', 'necessary', 'conditions', 'for', 'existence', 'of', 'sobolev', 'homeomorphisms', 'between', 'manifolds', 'these', 'necessary', 'conditions', 'based', 'on', 'poincare', 'type', 'inequality', 'inf_cin', 'mathbb', 'r', 'ucmid', 'l_inftymleq', 'k', 'umid', 'l1_inftym', 'as', 'a', 'corollary', 'we', 'obtain', 'the', 'following', 'geometrical', 'necessary', 'condition', 'em', 'if', 'there', 'exists', 'a', 'sobolev', 'homeomorphisms', 'phi', 'm', 'to', 'm', 'phiin', 'w1_pm', 'm', 'pn', 'jxphine', '0', 'a', 'e', 'in', 'm', 'of', 'compact', 'smooth', 'riemannian', 'manifold', 'm', 'onto', 'riemannian', 'manifold', 'm', 'then', 'the', 'manifold', 'm', 'has', 'finite', 'geodesic', 'diameter']] | [-0.260746458096599, 0.039662907784804705, -0.06247844800183719, 0.08805497305637056, -0.09677745413289152, -0.18883660241792147, -0.0465417056069286, 0.3729783195155588, -0.2589857848530466, -0.18750340196050025, 0.10474222493569621, -0.24912100102413784, -0.11543747924945572, 0.16040496005549687, -0.13621123680760236, 0.059339857452273874, 0.052126706433905795, 0.08176054585386407, -0.1490844096406363, -0.264631346528503, 0.4434909470252354, -0.10202367847616023, 0.15436828158668836, 0.05177768556644547, 0.14891013976779174, -0.036977415320209484, 0.06381796758875928, -0.004134191987528043, -0.31334709867402455, 0.04335203049492768, 0.22292506864125078, 0.06982021654151718, 0.23796944593672048, -0.38953840860419653, -0.17526703820648518, 0.243330645959147, 0.07474863096563654, -0.12369635793888434, -0.03498278307220475, -0.31663041954479093, 0.14618494013663041, 0.004308119539928157, -0.22557778218761088, -0.09013816900551319, 0.13421348180537196, 0.006516796189614317, -0.30292488478801466, 0.02659899133511565, 0.19392402048476717, 0.1031988481482999, -0.10792879210679199, -0.09105212030593644, -0.08868345594118264, 0.07081166362305256, -0.015452961577102542, 0.1162306885806505, 0.07638798731125214, 0.0321783778257668, -0.025513206430795517, 0.30793808859518984, -0.14780955086038872, -0.31840211606838487, 0.10110560411968353, -0.1983924668112939, -0.19514816758984868, 0.09881848283958707, 0.13320160155734895, 0.21887571377341042, -0.0528598272241652, 0.2737438442693515, -0.10483583341622514, 0.09318626106462695, 0.12734878944571723, 0.007356158622794531, 0.04145083275454288, 0.0743985905523666, 0.2656692758493591, 0.10283496929755942, -0.016200687385439366, 0.01885757300664078, -0.4050863468511538, -0.2019761817106469, -0.18118368696357887, 0.2964067301628264, -0.1901060404594649, -0.13428737501486798, 0.26860175828703425, -0.011744645472869955, 0.15626872194592248, 0.13690613648346203, 0.171717207450208, 0.012551840573591603, -0.022718866419216447, 0.1331867963033305, 0.14295674672519618, 0.24430991146205502, 0.024235590276393024, -0.11760328283152459, -0.049048082712529736, 0.23479712922126056] |
712.2148 | Nonequilibrium Dephasing in an Electronic Mach-Zehnder Interferometer | We study nonequilibrium dephasing in an electronic Mach-Zehnder
interferometer. We demonstrate that the shot noise at the beam splitter of the
interferometer generates an ensemble of nonequilibrium electron density
configurations and that electron interactions induce configuration-specific
phase shifts of an interfering electron. The resulting dephasing exhibits two
characteristic features, a lobe pattern in the visibility and phase jumps of
$\pi$, in good agreement with experimental data.
| cond-mat.mes-hall | we study nonequilibrium dephasing in an electronic machzehnder interferometer we demonstrate that the shot noise at the beam splitter of the interferometer generates an ensemble of nonequilibrium electron density configurations and that electron interactions induce configurationspecific phase shifts of an interfering electron the resulting dephasing exhibits two characteristic features a lobe pattern in the visibility and phase jumps of pi in good agreement with experimental data | [['we', 'study', 'nonequilibrium', 'dephasing', 'in', 'an', 'electronic', 'machzehnder', 'interferometer', 'we', 'demonstrate', 'that', 'the', 'shot', 'noise', 'at', 'the', 'beam', 'splitter', 'of', 'the', 'interferometer', 'generates', 'an', 'ensemble', 'of', 'nonequilibrium', 'electron', 'density', 'configurations', 'and', 'that', 'electron', 'interactions', 'induce', 'configurationspecific', 'phase', 'shifts', 'of', 'an', 'interfering', 'electron', 'the', 'resulting', 'dephasing', 'exhibits', 'two', 'characteristic', 'features', 'a', 'lobe', 'pattern', 'in', 'the', 'visibility', 'and', 'phase', 'jumps', 'of', 'pi', 'in', 'good', 'agreement', 'with', 'experimental', 'data']] | [-0.21588149440305476, 0.21354364652330388, -0.142715083499559, 0.04227188236616326, 0.08014517689518856, -0.1391015619984969, 0.030144547867221816, 0.45403848362691474, -0.23116435721573053, -0.2599395268286268, -0.07211076259210875, -0.33809581444118963, -0.13781576471008133, 0.18072092913401624, -0.007535031964917752, 0.01440407026552059, 0.0801406924641042, -0.04609450331014214, -0.08302881144636283, -0.11621551637566, 0.28950717438463913, 0.08636661331084641, 0.33781207009980624, 0.024328709128453876, 0.1285867435649517, 0.021518348017707467, 0.057845125715671616, -0.023773641126216247, -0.08403341147707331, -0.02359367576851086, 0.2513888323340904, -0.005529207056414717, 0.16401562845390855, -0.4699561615530966, -0.16957417860006294, 0.035819162925084434, 0.11750996830365197, 0.178419656035575, -0.05464869952111533, -0.3253768902892868, -0.07112988814090689, -0.16477574303633336, -0.12161609627814456, -0.06005749882509311, -0.01573800885428985, 0.014939334897931214, -0.2884548452654571, 0.0770938070455679, 0.0461464232807471, 0.044797857771768715, 0.008503810636642756, -0.06849749716506763, 0.010096065692998694, 0.0791064865647279, -0.051880210863821434, 0.05201345230241052, 0.19610712069852249, -0.14427399446933784, -0.13650666598484598, 0.32030843584939384, -0.09898645466080669, -0.10355320025348302, 0.11807734868489206, -0.22649929503148253, -0.043547931550578636, 0.20618205597962846, 0.10142852778010296, 0.006870672099687385, -0.11799899322178328, -0.023890027460628047, -0.006368289103689181, 0.22421863184056498, 0.12445891798459784, 0.13084112218425478, 0.21953368186950684, 0.1710707410979508, 0.07626174799533504, 0.16655859070350276, -0.20975596415386957, -0.09878080710063153, -0.2676660393675168, -0.09055225989978874, -0.2053142430923992, 0.04282038340280644, -0.06163705598208418, -0.15142082926732572, 0.43690519068728795, 0.15550879182675006, 0.18150069851033163, -0.04755149956679705, 0.3311786924940393, 0.13407345967028628, -0.04052146510079955, -0.004571777881320679, 0.19382861898647566, 0.15609831430695273, 0.0670955643114267, -0.37665766793670075, 0.028539935634894806, -0.0790826290965814] |
712.2149 | GEANT4 and CREME96 comparison using only proton fluxes | CREME96 and GEANT4 are two well known particle transport codes through matter
in space science. We present a comparison between the proton fluxes outgoing
from an aluminium target, obtained by using both tools. The primary proton flux
is obtained by CREME96 only, covering an energy range from MeV to hundreds GeV
with the same result in both cases. We studied different thickness targets and
two different GEANT4 physics lists in order to show how the spectra of the
outgoing proton fluxes are modified. Our findings show consistent agreement of
simulation data by each tool, with regards both GEANT4 physics lists and every
thickness target analysed.
| physics.comp-ph physics.space-ph | creme96 and geant4 are two well known particle transport codes through matter in space science we present a comparison between the proton fluxes outgoing from an aluminium target obtained by using both tools the primary proton flux is obtained by creme96 only covering an energy range from mev to hundreds gev with the same result in both cases we studied different thickness targets and two different geant4 physics lists in order to show how the spectra of the outgoing proton fluxes are modified our findings show consistent agreement of simulation data by each tool with regards both geant4 physics lists and every thickness target analysed | [['creme96', 'and', 'geant4', 'are', 'two', 'well', 'known', 'particle', 'transport', 'codes', 'through', 'matter', 'in', 'space', 'science', 'we', 'present', 'a', 'comparison', 'between', 'the', 'proton', 'fluxes', 'outgoing', 'from', 'an', 'aluminium', 'target', 'obtained', 'by', 'using', 'both', 'tools', 'the', 'primary', 'proton', 'flux', 'is', 'obtained', 'by', 'creme96', 'only', 'covering', 'an', 'energy', 'range', 'from', 'mev', 'to', 'hundreds', 'gev', 'with', 'the', 'same', 'result', 'in', 'both', 'cases', 'we', 'studied', 'different', 'thickness', 'targets', 'and', 'two', 'different', 'geant4', 'physics', 'lists', 'in', 'order', 'to', 'show', 'how', 'the', 'spectra', 'of', 'the', 'outgoing', 'proton', 'fluxes', 'are', 'modified', 'our', 'findings', 'show', 'consistent', 'agreement', 'of', 'simulation', 'data', 'by', 'each', 'tool', 'with', 'regards', 'both', 'geant4', 'physics', 'lists', 'and', 'every', 'thickness', 'target', 'analysed']] | [-0.015795017610348405, 0.1512492181891243, -0.018310957557211318, 0.1308103667272787, 0.006465967647853263, -0.10977607233771344, -0.01464800940870884, 0.4353256794136195, -0.21727966698596166, -0.42061101201744305, 0.012066849854419984, -0.33156397932076026, 0.008902931798781667, 0.2537353201159498, 0.01868625001183578, 0.05901970569753931, 0.1018133180171606, -0.006356238964058104, -0.05438464155664579, -0.1914195330813527, 0.28651040601100597, 0.126067087754962, 0.27657045203128033, 0.07695652790190209, 0.05708897853647137, 0.03267522473830641, -0.08091168798425878, 0.0094248141204887, -0.16766794441112629, 0.06774875954059618, 0.26683245740963946, 0.09725574466532895, 0.14094991529626505, -0.42875491271898636, -0.22320524415976944, 0.021345681596236923, 0.10771656603153262, 0.0597722183757772, -0.08357499742969161, -0.26275066066355934, 0.042814000062866224, -0.17528909029705184, -0.1130897938007755, -0.027725304379349662, -0.039173052765961204, 0.0823803309135006, -0.21323062889277936, -0.007651489158715343, -0.03811214329297876, 0.04661205834930851, -0.08744062706828118, -0.2042221549587945, -0.07131798155605792, 0.12746662871379938, 0.08810326675884425, 0.02540398503520659, 0.13158620248626296, -0.09784856531769037, -0.12190043169650294, 0.3668207092654137, -0.037401877371372565, -0.1552021517662243, 0.1821763880850215, -0.162354036105708, -0.0821354246121787, 0.1749681015609808, 0.11673509868837538, 0.10437683928979649, -0.19922447507047936, 0.03948012105510792, -0.04382150863252935, 0.206476464302146, 0.0749079926028138, -0.025198107985072837, 0.21274565351860864, 0.16744418887953674, -0.017567815850045354, 0.1099104739548195, -0.1280931691040418, -0.058842470838377875, -0.32864206575212024, -0.0950705914447705, -0.14423369599639305, 0.01303269358884011, -0.06874597336434471, -0.06938848101666996, 0.36622625173823464, 0.11974041628252183, 0.17644975884329706, 0.004773880106707414, 0.295328351482749, 0.02946405139019979, 0.03142584541014263, 0.09013823649979064, 0.24184442162513733, 0.13839999248184973, 0.1276681438221463, -0.19242375145799348, 0.006388549415749453, 0.01346305056164662] |
712.215 | Chemical and forensic analysis of JFK assassination bullet lots: Is a
second shooter possible? | The assassination of President John Fitzgerald Kennedy (JFK) traumatized the
nation. In this paper we show that evidence used to rule out a second assassin
is fundamentally flawed. This paper discusses new compositional analyses of
bullets reportedly to have been derived from the same batch as those used in
the assassination. The new analyses show that the bullet fragments involved in
the assassination are not nearly as rare as previously reported. In particular,
the new test results are compared to key bullet composition testimony presented
before the House Select Committee on Assassinations (HSCA). Matches of bullets
within the same box of bullets are shown to be much more likely than indicated
in the House Select Committee on Assassinations' testimony. Additionally, we
show that one of the ten test bullets is considered a match to one or more
assassination fragments. This finding means that the bullet fragments from the
assassination that match could have come from three or more separate bullets.
Finally, this paper presents a case for reanalyzing the assassination bullet
fragments and conducting the necessary supporting scientific studies. These
analyses will shed light on whether the five bullet fragments constitute three
or more separate bullets. If the assassination fragments are derived from three
or more separate bullets, then a second assassin is likely, as the additional
bullet would not easily be attributable to the main suspect, Mr. Oswald, under
widely accepted shooting scenarios [see Posner (1993), Case Closed, Bantam, New
York].
| stat.AP | the assassination of president john fitzgerald kennedy jfk traumatized the nation in this paper we show that evidence used to rule out a second assassin is fundamentally flawed this paper discusses new compositional analyses of bullets reportedly to have been derived from the same batch as those used in the assassination the new analyses show that the bullet fragments involved in the assassination are not nearly as rare as previously reported in particular the new test results are compared to key bullet composition testimony presented before the house select committee on assassinations hsca matches of bullets within the same box of bullets are shown to be much more likely than indicated in the house select committee on assassinations testimony additionally we show that one of the ten test bullets is considered a match to one or more assassination fragments this finding means that the bullet fragments from the assassination that match could have come from three or more separate bullets finally this paper presents a case for reanalyzing the assassination bullet fragments and conducting the necessary supporting scientific studies these analyses will shed light on whether the five bullet fragments constitute three or more separate bullets if the assassination fragments are derived from three or more separate bullets then a second assassin is likely as the additional bullet would not easily be attributable to the main suspect mr oswald under widely accepted shooting scenarios see posner 1993 case closed bantam new york | [['the', 'assassination', 'of', 'president', 'john', 'fitzgerald', 'kennedy', 'jfk', 'traumatized', 'the', 'nation', 'in', 'this', 'paper', 'we', 'show', 'that', 'evidence', 'used', 'to', 'rule', 'out', 'a', 'second', 'assassin', 'is', 'fundamentally', 'flawed', 'this', 'paper', 'discusses', 'new', 'compositional', 'analyses', 'of', 'bullets', 'reportedly', 'to', 'have', 'been', 'derived', 'from', 'the', 'same', 'batch', 'as', 'those', 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0.028285612001265018] |
712.2151 | Magnetic susceptibility of QCD vacuum at finite density from the
nonlocal chiral quark model | We present in this talk a recent investigation on the magnetic susceptibility
(chi) of the QCD vacuum at finite density, utilizing the nonlocal chiral quark
model from the instanton vacuum. We take into account the nonzero current-quark
mass (m_q) explicitly to consider the effect of explicit flavor SU(3) symmetry
breaking. It turns out that, when we turn on the current-quark mass, chi
becomes smaller, indicating less response to the externally induced
electromagnetic field, in comparison to that for m_q=0.
| hep-ph | we present in this talk a recent investigation on the magnetic susceptibility chi of the qcd vacuum at finite density utilizing the nonlocal chiral quark model from the instanton vacuum we take into account the nonzero currentquark mass m_q explicitly to consider the effect of explicit flavor su3 symmetry breaking it turns out that when we turn on the currentquark mass chi becomes smaller indicating less response to the externally induced electromagnetic field in comparison to that for m_q0 | [['we', 'present', 'in', 'this', 'talk', 'a', 'recent', 'investigation', 'on', 'the', 'magnetic', 'susceptibility', 'chi', 'of', 'the', 'qcd', 'vacuum', 'at', 'finite', 'density', 'utilizing', 'the', 'nonlocal', 'chiral', 'quark', 'model', 'from', 'the', 'instanton', 'vacuum', 'we', 'take', 'into', 'account', 'the', 'nonzero', 'currentquark', 'mass', 'm_q', 'explicitly', 'to', 'consider', 'the', 'effect', 'of', 'explicit', 'flavor', 'su3', 'symmetry', 'breaking', 'it', 'turns', 'out', 'that', 'when', 'we', 'turn', 'on', 'the', 'currentquark', 'mass', 'chi', 'becomes', 'smaller', 'indicating', 'less', 'response', 'to', 'the', 'externally', 'induced', 'electromagnetic', 'field', 'in', 'comparison', 'to', 'that', 'for', 'm_q0']] | [-0.15110725335352407, 0.2551925221363766, -0.08856768970955399, 0.08654075894428158, -0.09396232419376131, -0.0719501590886731, 0.061511680775593165, 0.3475410528009451, -0.1525406644243417, -0.25340457595413246, 0.02023724211038008, -0.26888401568808323, -0.06109435950653463, 0.09038405128330275, 0.06649091001600027, 0.004056798879210424, -0.01886432973927335, 0.07410222655928493, -0.11808890051833248, -0.20510353584467328, 0.3459497494733586, -0.007782370842333081, 0.25083373709805784, 0.1569276732522287, 0.055407958753595624, 0.01134711726129503, -0.0038417431855975073, -0.00022986550709303423, -0.13531836565039446, 0.004993322327485473, 0.15734351694191911, -0.028440480011432796, 0.16267381445799448, -0.4241507786880188, -0.18869175387788092, 0.13306701303565804, 0.12047270193248044, 0.15011454563988727, -0.041337667118545765, -0.2999483332792415, 0.10855785028602268, -0.21713296305152435, -0.14592605368293163, -0.11937313951637384, 0.00874725894418934, -0.11912081292771463, -0.30401570423022856, 0.10364371726563483, 0.013009269061628023, 0.02395725079305187, -0.03310118824290701, -0.1856712890741757, -0.058036581848901286, 0.045892461178355694, 0.16568233688432676, 0.06949476786900925, 0.15117804977093835, -0.19751005897687487, -0.015149723809902097, 0.41439002174648304, -0.0689133540962976, -0.17077928307595885, 0.058023499881943004, -0.19841817886674706, -0.14660559245090507, 0.12024032605128197, 0.18454524171479705, 0.09219831527694117, -0.1165270974745022, 0.1347334049111586, -0.05133151414043777, 0.17928562472320952, 0.05765980602642875, 0.027333009333785952, 0.27239348277260983, 0.12231708858810554, 0.016399895445196124, 0.14787529472591757, -0.014340712535607664, -0.13522393369009789, -0.3790562313663054, -0.07736740209445168, -0.143894057673744, 0.13961456958911841, -0.0953656390640528, -0.13572863393899384, 0.387466344392941, 0.18346127161543957, 0.19577487120758505, 0.010440113971929383, 0.2903082696426235, 0.14872947576620815, 0.11767472407804165, 0.023210163481674994, 0.24773134208649775, 0.17988800861035723, 0.1058156709717233, -0.3561313357999949, -0.0628181039709362, 0.09611803899471989] |
712.2152 | Analysis of vibration impact on stability of dewetting thin liquid film | Dynamics of a thin dewetting liquid film on a vertically oscillating
substrate is considered. We assume moderate vibration frequency and large
(compared to the mean film thickness) vibration amplitude. Using the
lubrication approximation and the averaging method, we formulate the coupled
sets of equations governing the pulsatile and the averaged fluid flows in the
film, and then derive the nonlinear amplitude equation for the averaged film
thickness. We show that there exists a window in the frequency-amplitude domain
where the parametric and shear-flow instabilities of the pulsatile flow do not
emerge. As a consequence, in this window the averaged description is reasonable
and the amplitude equation holds. The linear and nonlinear analyses of the
amplitude equation and the numerical computations show that such vibration
stabilizes the film against dewetting and rupture.
| physics.flu-dyn | dynamics of a thin dewetting liquid film on a vertically oscillating substrate is considered we assume moderate vibration frequency and large compared to the mean film thickness vibration amplitude using the lubrication approximation and the averaging method we formulate the coupled sets of equations governing the pulsatile and the averaged fluid flows in the film and then derive the nonlinear amplitude equation for the averaged film thickness we show that there exists a window in the frequencyamplitude domain where the parametric and shearflow instabilities of the pulsatile flow do not emerge as a consequence in this window the averaged description is reasonable and the amplitude equation holds the linear and nonlinear analyses of the amplitude equation and the numerical computations show that such vibration stabilizes the film against dewetting and rupture | [['dynamics', 'of', 'a', 'thin', 'dewetting', 'liquid', 'film', 'on', 'a', 'vertically', 'oscillating', 'substrate', 'is', 'considered', 'we', 'assume', 'moderate', 'vibration', 'frequency', 'and', 'large', 'compared', 'to', 'the', 'mean', 'film', 'thickness', 'vibration', 'amplitude', 'using', 'the', 'lubrication', 'approximation', 'and', 'the', 'averaging', 'method', 'we', 'formulate', 'the', 'coupled', 'sets', 'of', 'equations', 'governing', 'the', 'pulsatile', 'and', 'the', 'averaged', 'fluid', 'flows', 'in', 'the', 'film', 'and', 'then', 'derive', 'the', 'nonlinear', 'amplitude', 'equation', 'for', 'the', 'averaged', 'film', 'thickness', 'we', 'show', 'that', 'there', 'exists', 'a', 'window', 'in', 'the', 'frequencyamplitude', 'domain', 'where', 'the', 'parametric', 'and', 'shearflow', 'instabilities', 'of', 'the', 'pulsatile', 'flow', 'do', 'not', 'emerge', 'as', 'a', 'consequence', 'in', 'this', 'window', 'the', 'averaged', 'description', 'is', 'reasonable', 'and', 'the', 'amplitude', 'equation', 'holds', 'the', 'linear', 'and', 'nonlinear', 'analyses', 'of', 'the', 'amplitude', 'equation', 'and', 'the', 'numerical', 'computations', 'show', 'that', 'such', 'vibration', 'stabilizes', 'the', 'film', 'against', 'dewetting', 'and', 'rupture']] | [-0.1658733937469887, 0.15122399427252645, -0.09490939949902187, 0.00366298881810841, -0.02787101460364825, -0.09713470678463693, 0.019747108128632753, 0.3557042223934568, -0.3077416059130959, -0.2346934413729335, 0.10143706905442283, -0.2515183882327939, -0.1391027418342028, 0.19981477177392634, 0.003542242262455571, 0.0795574727368662, 0.04354735315361465, -0.03552154957793141, -0.03646696342212212, -0.14046979844854532, 0.2624565982864103, -0.027282059370390785, 0.341569107907419, 0.047554079017545034, 0.1351785034453141, -0.01726085271416161, 0.032691715704632626, 0.04781014005873949, -0.22550773109499994, -0.000731391538528171, 0.2057626995965412, -0.035816949600254305, 0.23632742510753052, -0.4967346271315149, -0.23927983322415416, 0.030615499538177524, 0.14283210475474084, 0.16354570704874874, -0.00956162569408113, -0.22503484852029054, 0.041914051480392234, -0.10385429502272879, -0.14670362996420902, -0.05068450543419849, 0.01973771040135895, 0.056952782344732444, -0.2815854035567613, 0.14875216920725035, 0.0835421037973964, 0.06679284578999718, -0.12180882391256799, -0.04624011896493781, -0.07809085944909176, 0.06303635984659195, 0.09249911787523132, 0.013168461176474359, 0.19168963911409936, -0.13799993905864427, 0.012359138752355147, 0.3714573611323153, -0.11975820672534804, -0.2192107274815554, 0.1550338270519469, -0.14123596023423385, 0.003601578489045492, 0.1612030269421694, 0.17885637370059054, 0.09947280491922648, -0.09261298581570358, 0.048388818541509705, -0.03126394700344282, 0.2449577865564044, 0.13220153426225403, -0.054511993663573906, 0.14378248072648778, 0.23674146504006313, 0.04913388330041509, 0.14317412664296233, -0.12104915255389198, -0.09277596317572903, -0.3193825605033918, -0.12405147864696577, -0.1265229696251509, 0.04003149516116703, -0.11984676999857077, -0.2354226395672628, 0.37674774213175055, 0.10717683877859918, 0.12800174448923526, 0.043127229494106675, 0.2752245182406072, 0.13811793468291836, 0.015742308413965327, 0.07646420297927387, 0.28714196237500844, 0.18058026119185086, 0.1227306203423681, -0.2895829859882849, 0.05265717101390011, 0.03357991555755432] |
712.2153 | Small index subgroups of the mapping class group | We prove that the mapping class group of a closed oriented surface of genus
$\rho \ge 3$ has no proper subgroup of index $\le 4 \rho +4$.
| math.GT math.GR | we prove that the mapping class group of a closed oriented surface of genus rho ge 3 has no proper subgroup of index le 4 rho 4 | [['we', 'prove', 'that', 'the', 'mapping', 'class', 'group', 'of', 'a', 'closed', 'oriented', 'surface', 'of', 'genus', 'rho', 'ge', '3', 'has', 'no', 'proper', 'subgroup', 'of', 'index', 'le', '4', 'rho', '4']] | [-0.2469251430420964, 0.16335674109696238, -0.09489163270875535, 0.011713792259494463, -0.031250490427569104, -0.18663490306655015, 0.039490302438261335, 0.42360926502280766, -0.24432651374351094, -0.29909765713468744, 0.069018800786041, -0.28970144668387043, -0.10464915483155185, 0.17676110446660054, -0.07763431628269178, -0.056642574706563247, -0.01499347197305825, 0.143120348315548, -0.11757475278271293, -0.19713755393469776, 0.35430594062846565, -0.1809722465135295, 0.1640630429179442, 0.05809574648392973, 0.08337120159908577, 0.03657278227102426, -0.009395615715119574, 0.03525540639680845, -0.20422774578441427, 0.10737391337062474, 0.21955197732205745, 0.09555833761718262, 0.18070961845417818, -0.2820286999146144, -0.23146871166924635, 0.2192232414942097, 0.11119036576538174, -0.09254609679596291, -0.051627457322966724, -0.17279123314828784, 0.2262844795499135, -0.15926193687374945, -0.2283096871925173, 0.038355474153326616, 0.20129814923361497, -0.1076896068536573, -0.1997532267468395, 0.017370086128788965, 0.10773477110045927, 0.17439743169341926, 0.006695729456152077, -0.2243496027464668, -0.0884705706740971, 0.14432999764189677, -0.06389896882077058, 0.18820628570392728, 0.10098763818731876, -0.12755276552504963, -0.041758183734836404, 0.3003221278389295, -0.10484210584588625, -0.1674398746755388, 0.11501708875099818, -0.21898321574553847, -0.2602336540542267, 0.20927767831556224, 0.09623100956970895, 0.17576994912491906, 0.012231781802795551, 0.26081616314197026, -0.12315535021049005, 0.22502741015826663, 0.09182298117903648, -0.09464501203641433, 0.04184646255992077, 0.08670159993279311, 0.12797422215333898, 0.07169090570123107, -0.09318685573008326, 0.15859110501629334, -0.35358761295814206, -0.3041799134678311, -0.12177585244730667, 0.1908860366653513, -0.20405221251011998, -0.13656943174148048, 0.3513277431053144, -0.0534755163308647, 0.084555152044804, 0.14763604111417575, 0.09400580119755533, 0.030468518035141407, 0.004264706021381749, 0.21003307374539198, 0.08276994857523176, 0.2084276905214345, -0.1671747406254764, -0.11776113893008894, -0.05581716587767005, 0.10611911945872837] |
712.2154 | Doppler effect in Schwarzschild geometry | The Doppler shift considered in general relativity involves mixed
contributions of distinct, gravitational and kinematical origins and for most
metrics or trajectories it takes a complex form. The expression for the Doppler
shift may simplify due to particular symmetries. In Schwarzschild spacetime it
factorizes in the case of radial fall for an observer and radial null geodesic.
The resulting expression is composed of factors that can be identified with
contributions arising from classical, special relativistic and general
relativistic origins. This result turns out to be more general: it holds for
the whole class of observers travelling parallel to the spatial path of null
geodesics when receiving the signal. It also holds for a particular type of
in-fall in the case of a Kerr metric.
| gr-qc | the doppler shift considered in general relativity involves mixed contributions of distinct gravitational and kinematical origins and for most metrics or trajectories it takes a complex form the expression for the doppler shift may simplify due to particular symmetries in schwarzschild spacetime it factorizes in the case of radial fall for an observer and radial null geodesic the resulting expression is composed of factors that can be identified with contributions arising from classical special relativistic and general relativistic origins this result turns out to be more general it holds for the whole class of observers travelling parallel to the spatial path of null geodesics when receiving the signal it also holds for a particular type of infall in the case of a kerr metric | [['the', 'doppler', 'shift', 'considered', 'in', 'general', 'relativity', 'involves', 'mixed', 'contributions', 'of', 'distinct', 'gravitational', 'and', 'kinematical', 'origins', 'and', 'for', 'most', 'metrics', 'or', 'trajectories', 'it', 'takes', 'a', 'complex', 'form', 'the', 'expression', 'for', 'the', 'doppler', 'shift', 'may', 'simplify', 'due', 'to', 'particular', 'symmetries', 'in', 'schwarzschild', 'spacetime', 'it', 'factorizes', 'in', 'the', 'case', 'of', 'radial', 'fall', 'for', 'an', 'observer', 'and', 'radial', 'null', 'geodesic', 'the', 'resulting', 'expression', 'is', 'composed', 'of', 'factors', 'that', 'can', 'be', 'identified', 'with', 'contributions', 'arising', 'from', 'classical', 'special', 'relativistic', 'and', 'general', 'relativistic', 'origins', 'this', 'result', 'turns', 'out', 'to', 'be', 'more', 'general', 'it', 'holds', 'for', 'the', 'whole', 'class', 'of', 'observers', 'travelling', 'parallel', 'to', 'the', 'spatial', 'path', 'of', 'null', 'geodesics', 'when', 'receiving', 'the', 'signal', 'it', 'also', 'holds', 'for', 'a', 'particular', 'type', 'of', 'infall', 'in', 'the', 'case', 'of', 'a', 'kerr', 'metric']] | [-0.13531737258158355, 0.11428727384108858, -0.09589434846401995, 0.09435043952966694, -0.12408259872632522, -0.13332239381082717, -0.029788335740205743, 0.32815403603543075, -0.23886266593810082, -0.22759023275707038, 0.035092401625250555, -0.24557505428768514, -0.1318894822184267, 0.22946010309744685, -0.05519678702788247, -0.0033574000009403172, 0.06273978052007395, 0.06251960220716653, -0.08215625577553685, -0.1900150595015035, 0.3753969091922045, 0.05229690884270014, 0.23240080257246812, -0.00865072292471004, 0.1008638235394873, 0.0433174078765836, -0.0327337366911853, 0.08205819860731642, -0.08274788354860756, 0.07107086417231438, 0.23979258821195654, 0.16059528258835687, 0.2227669290641643, -0.36850852433652165, -0.22555186263015192, 0.10810036454424862, 0.150694411381283, 0.15858230648952867, -0.022611665448024607, -0.3033211437136596, 0.03230152676358909, -0.1252973844530061, -0.18683501809925562, -0.02607421318234335, 0.07403056646486925, -0.04451935021056523, -0.24649916357180524, 0.08885457358983037, 0.0984790526713515, 0.0074396213711870295, -0.09070982270115506, -0.06932971131567273, 0.004208128501270567, 0.13905322961175942, 0.12230551457821182, 0.026826118291806308, 0.10186927287929481, -0.07777418459403224, -0.06337074804375128, 0.4687230416964139, -0.047416657190619695, -0.24507238975005044, 0.15242134474946425, -0.19389186786758084, -0.13597785673975463, 0.1397013727757674, 0.1712229962971422, 0.1412416269984885, -0.1460697661937194, 0.09326012153741753, -0.0030907842127846615, 0.08175772282054587, 0.152507817872139, 0.0421991297865339, 0.22700936884053413, 0.04270172127026824, 0.06849360521582346, 0.1286953969186382, -0.10426445033085803, -0.11605307777156873, -0.3459775239349373, -0.17905851578783064, -0.11089101849093792, 0.08982647839753378, -0.12406926489981537, -0.16125042899887287, 0.35749952401027024, 0.06963797917940669, 0.15534786525137362, 0.034316940499740024, 0.2732407614708908, 0.14234760743209102, 0.07014811471960838, 0.1017112357714664, 0.2946574834941496, 0.13820559184457507, 0.09531947967386054, -0.19157491472358215, 0.026289936384156106, 0.0449439499099108] |
712.2155 | Instability of the Time Dependent Horava-Witten Model | We consider scalar perturbations in the time-dependent Ho\u{r}ava-Witten
Model in order to probe its stability. We show that during the non-singular
epoque the model evolves without instabilities until it encounters the
curvature singularity where a big crunch is supposed to occur. We compute the
frequencies of the scalar field oscillation during the stable period and show
how the oscillations can be used to prove the presence of such a singularity.
| hep-th gr-qc | we consider scalar perturbations in the timedependent houravawitten model in order to probe its stability we show that during the nonsingular epoque the model evolves without instabilities until it encounters the curvature singularity where a big crunch is supposed to occur we compute the frequencies of the scalar field oscillation during the stable period and show how the oscillations can be used to prove the presence of such a singularity | [['we', 'consider', 'scalar', 'perturbations', 'in', 'the', 'timedependent', 'houravawitten', 'model', 'in', 'order', 'to', 'probe', 'its', 'stability', 'we', 'show', 'that', 'during', 'the', 'nonsingular', 'epoque', 'the', 'model', 'evolves', 'without', 'instabilities', 'until', 'it', 'encounters', 'the', 'curvature', 'singularity', 'where', 'a', 'big', 'crunch', 'is', 'supposed', 'to', 'occur', 'we', 'compute', 'the', 'frequencies', 'of', 'the', 'scalar', 'field', 'oscillation', 'during', 'the', 'stable', 'period', 'and', 'show', 'how', 'the', 'oscillations', 'can', 'be', 'used', 'to', 'prove', 'the', 'presence', 'of', 'such', 'a', 'singularity']] | [-0.18928818417497087, 0.15336624593676432, -0.11912574789122395, 0.10824089798489181, -0.053720640092818205, -0.11646047899283576, -0.020833462784640436, 0.29631882348178845, -0.3130643953150813, -0.23593073489441388, 0.1493462492759083, -0.27012649220346974, -0.17243110999276023, 0.12851833502856502, -0.029882039760063955, -0.000831667199710627, 0.06566217809618599, 0.10212895417235036, -0.03969956601403006, -0.23866246568470978, 0.3446569720796053, 0.04507599491626024, 0.21324054403163062, 0.034513896945324064, 0.056718703096165606, -0.03863079185206173, 0.03930989352680837, 0.008044815111476793, -0.1592537017252956, -0.02231959927071264, 0.1952116124243796, 0.11921119554292249, 0.26635385709612264, -0.46159356225119985, -0.24646856833546274, 0.19053894722753245, 0.15104199700273466, 0.1515226703596072, -0.030828116060086133, -0.2598373512602479, 0.09675889455821311, -0.15256860418974058, -0.20879550295733457, -0.0792072932438358, -0.009483367547163389, -0.032763353643425995, -0.26930205631947174, 0.09970254874855712, 0.028695439595891083, -0.03756377789313379, -0.09195611037590636, 0.03954503980829664, -0.06506032244288835, 0.08180604436758744, 0.10208944405219855, 0.009376218184774769, 0.11689716309605949, -0.10627635676359785, -0.043046358166316495, 0.3707870910673038, -0.14544266066345238, -0.14101603682544353, 0.13557732242254028, -0.18807750733812217, -0.07668343248466651, 0.09921412108520018, 0.16739469685463532, 0.12154795503770204, -0.03888909992478464, 0.11492504111906189, 0.08445922549193104, 0.14625279782204956, 0.11649451066024494, -0.03762010181916581, 0.26320263608426286, 0.12294334845374459, 0.048147052529848355, 0.1366597753190233, -0.09521961878931177, -0.12223191305563069, -0.3214842012435522, -0.12441151024962681, -0.11910569570634676, 0.0872591876802777, -0.07133038931140723, -0.1991624687730834, 0.4337472850456834, 0.1618927000157967, 0.23643628293559785, -0.00017913378289212352, 0.2665070291554582, 0.1271937963809224, 0.06870711790469468, 0.09145959312150227, 0.3082621692261402, 0.09645195448420187, 0.13112311409381422, -0.24549205367034976, 0.017956883835511795, 0.01420046005775963] |
712.2156 | Probing bilinear R-parity violating supergravity at the LHC | We study the collider phenomenology of bilinear R-parity violating
supergravity, the simplest effective model for supersymmetric neutrino masses
accounting for the current neutrino oscillation data. At the CERN Large Hadron
Collider the center-of-mass energy will be high enough to probe directly these
models through the search for the superpartners of the Standard Model (SM)
particles. We analyze the impact of R-parity violation on the canonical
supersymmetry searches - that is, we examine how the decay of the lightest
supersymmetric particle (LSP) via bilinear R-parity violating interactions
degrades the average expected missing momentum of the reactions and show how
this diminishes the reach in the 'usual' channels for supersymmetry searches.
However, the R-parity violating interactions lead to an enhancement of the
final states containing isolated same-sign di-leptons and trileptons,
compensating the reach loss in the fully inclusive channel. We show how the
searches for displaced vertices associated to LSP decay substantially increase
the coverage in supergravity parameter space, giving the corresponding reaches
for two reference luminosities of 10 and 100 fb$^{-1}$ and compare with those
of the R-parity conserving minimal supergravity model.
| hep-ph | we study the collider phenomenology of bilinear rparity violating supergravity the simplest effective model for supersymmetric neutrino masses accounting for the current neutrino oscillation data at the cern large hadron collider the centerofmass energy will be high enough to probe directly these models through the search for the superpartners of the standard model sm particles we analyze the impact of rparity violation on the canonical supersymmetry searches that is we examine how the decay of the lightest supersymmetric particle lsp via bilinear rparity violating interactions degrades the average expected missing momentum of the reactions and show how this diminishes the reach in the usual channels for supersymmetry searches however the rparity violating interactions lead to an enhancement of the final states containing isolated samesign dileptons and trileptons compensating the reach loss in the fully inclusive channel we show how the searches for displaced vertices associated to lsp decay substantially increase the coverage in supergravity parameter space giving the corresponding reaches for two reference luminosities of 10 and 100 fb1 and compare with those of the rparity conserving minimal supergravity model | [['we', 'study', 'the', 'collider', 'phenomenology', 'of', 'bilinear', 'rparity', 'violating', 'supergravity', 'the', 'simplest', 'effective', 'model', 'for', 'supersymmetric', 'neutrino', 'masses', 'accounting', 'for', 'the', 'current', 'neutrino', 'oscillation', 'data', 'at', 'the', 'cern', 'large', 'hadron', 'collider', 'the', 'centerofmass', 'energy', 'will', 'be', 'high', 'enough', 'to', 'probe', 'directly', 'these', 'models', 'through', 'the', 'search', 'for', 'the', 'superpartners', 'of', 'the', 'standard', 'model', 'sm', 'particles', 'we', 'analyze', 'the', 'impact', 'of', 'rparity', 'violation', 'on', 'the', 'canonical', 'supersymmetry', 'searches', 'that', 'is', 'we', 'examine', 'how', 'the', 'decay', 'of', 'the', 'lightest', 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'minimal', 'supergravity', 'model']] | [-0.09017029692056693, 0.25480083985934876, 0.0031217859094289854, 0.216135561088514, -0.08337248510862183, -0.17398904185328218, 0.0329250227364456, 0.2625666750814869, -0.2033997691805578, -0.3326797047526472, 0.029785264622963343, -0.34410396170440233, 0.02585832550863011, 0.09665693647241116, 0.04167139576489313, 0.06495439911571642, 0.10985264379220704, -0.011858350043702457, -0.08378001951172741, -0.24465792474026482, 0.2562883975133041, 0.07665455183790376, 0.2083491279847092, 0.07718176627660998, 0.059953927616718125, 0.011748440958197333, -0.026740190878303514, -0.09209346324480268, -0.11166584378050982, 0.07743367087192989, 0.19182369746876146, 0.12159919862299123, 0.06857241053755085, -0.40224983622061294, -0.1239393954915512, 0.252303497295361, 0.18724606207882363, 0.10626363029393057, -0.07459974120396914, -0.3167703637077163, 0.0717230844038972, -0.2487958439713111, -0.10248209440356328, -0.07188862451261634, -0.03560225438430077, 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712.2157 | Vehicular traffic flow at a non-signalised intersection | We have developed a modified Nagel-Schreckenberg cellular automata model for
describing a conflicting vehicular traffic flow at the intersection of two
streets. No traffic lights control the traffic flow. The approaching cars to
the intersection yield to each other to avoid collision. Closed boundary
condition is applied to the streets. Extensive Monte Carlo simulations is taken
into account to find the model characteristics. In particular, we obtain the
fundamental diagrams and show that the effect of interaction of two streets can
be regarded as a dynamic impurity located at the intersection point. Our
results suggest that yielding mechanism gives rise to a high total flow
throughout the intersection especially in the low density regime. In some
ranges of densities, yielding mechanism even improves and regulates the flow in
comparison to the absence of perpendicular flow.
| physics.soc-ph physics.gen-ph | we have developed a modified nagelschreckenberg cellular automata model for describing a conflicting vehicular traffic flow at the intersection of two streets no traffic lights control the traffic flow the approaching cars to the intersection yield to each other to avoid collision closed boundary condition is applied to the streets extensive monte carlo simulations is taken into account to find the model characteristics in particular we obtain the fundamental diagrams and show that the effect of interaction of two streets can be regarded as a dynamic impurity located at the intersection point our results suggest that yielding mechanism gives rise to a high total flow throughout the intersection especially in the low density regime in some ranges of densities yielding mechanism even improves and regulates the flow in comparison to the absence of perpendicular flow | [['we', 'have', 'developed', 'a', 'modified', 'nagelschreckenberg', 'cellular', 'automata', 'model', 'for', 'describing', 'a', 'conflicting', 'vehicular', 'traffic', 'flow', 'at', 'the', 'intersection', 'of', 'two', 'streets', 'no', 'traffic', 'lights', 'control', 'the', 'traffic', 'flow', 'the', 'approaching', 'cars', 'to', 'the', 'intersection', 'yield', 'to', 'each', 'other', 'to', 'avoid', 'collision', 'closed', 'boundary', 'condition', 'is', 'applied', 'to', 'the', 'streets', 'extensive', 'monte', 'carlo', 'simulations', 'is', 'taken', 'into', 'account', 'to', 'find', 'the', 'model', 'characteristics', 'in', 'particular', 'we', 'obtain', 'the', 'fundamental', 'diagrams', 'and', 'show', 'that', 'the', 'effect', 'of', 'interaction', 'of', 'two', 'streets', 'can', 'be', 'regarded', 'as', 'a', 'dynamic', 'impurity', 'located', 'at', 'the', 'intersection', 'point', 'our', 'results', 'suggest', 'that', 'yielding', 'mechanism', 'gives', 'rise', 'to', 'a', 'high', 'total', 'flow', 'throughout', 'the', 'intersection', 'especially', 'in', 'the', 'low', 'density', 'regime', 'in', 'some', 'ranges', 'of', 'densities', 'yielding', 'mechanism', 'even', 'improves', 'and', 'regulates', 'the', 'flow', 'in', 'comparison', 'to', 'the', 'absence', 'of', 'perpendicular', 'flow']] | [-0.18630165946152474, 0.11695148666492766, -0.11692149146218543, 0.08229184020138174, -0.026454820915090816, -0.14188555942641365, 0.05473758743179065, 0.35635579691992864, -0.2698405220069819, -0.29662875836301184, 0.07119153784199929, -0.27499486133801165, -0.08520182764019679, 0.1956305260701036, -0.06720653700607794, 0.012629647373601243, 0.07582334254532018, 0.033791729374098835, -0.015392358323421191, -0.19566453992630597, 0.2649112962358804, 0.015844529717125827, 0.33905913133726073, 0.11719831534751898, 0.09673852327590188, 0.00011000027405787949, -0.014766318913273237, 0.08153486997578983, -0.13126750927541353, 0.08165389622596127, 0.25773847645053777, 0.07187455985005255, 0.21608260396730017, -0.47586018705257666, -0.27473296045015255, 0.093645163597884, 0.1533709719777107, 0.09062287580152904, -0.014829755460636484, -0.24457331830290732, 0.11352344885063186, -0.1689072056638974, -0.13641158391363678, -0.01785126876913839, -0.01635833536102264, 0.04166011244610504, -0.2676441591370989, 0.01984770741460293, 0.026541599422624264, 0.06421711191565178, -0.05632844244612864, -0.06761828909317652, -0.07538640819386476, 0.17343855530661703, 0.053192656084515705, 0.01307171782547677, 0.14539628677518554, -0.15573743652138444, -0.09590877975785622, 0.41484006144692775, -0.03524958132162552, -0.175203454742829, 0.20984095675456854, -0.12189034532272705, -0.0957155378949311, 0.16541086640553893, 0.1920300048034362, 0.07301193448818392, -0.11275304479317533, -0.002560031930355493, -0.056340373289357454, 0.09490065463684948, 0.045382394103540315, -0.03251214088544387, 0.19200958705472726, 0.19161676685670737, 0.1210286562865669, 0.14060254312008275, -0.11166542505810934, -0.17224491069921188, -0.27992853549205593, -0.11866187558474917, -0.10362723591151062, 0.02516476971062797, -0.09063913437205849, -0.14291775341456134, 0.35654717360243754, 0.18098359224903915, 0.2260188616197815, 0.045107914383212724, 0.3023479105007869, 0.12061996476862717, 0.05516080619008453, 0.10963083406289419, 0.2080356866097578, 0.1069744015733401, 0.13541769565738462, -0.23245831503084413, 0.07252675559613164, 0.09007185713422519] |
712.2158 | Extended su(2)_k and restricted U_q sl(2) | Global gauge symmetry becomes more intricate in low dimensional QFT. We
survey the mathematical concepts leading to the relevant analogues of the (D=4)
Doplicher-Haag-Roberts theory of superselection sectors and internal symmetry.
We also review a recently uncovered duality between braid and quantum group
representations in an extension of the chiral su(2)_k WZNW model for
nonnegative integer level k.
| hep-th math-ph math.MP math.QA | global gauge symmetry becomes more intricate in low dimensional qft we survey the mathematical concepts leading to the relevant analogues of the d4 doplicherhaagroberts theory of superselection sectors and internal symmetry we also review a recently uncovered duality between braid and quantum group representations in an extension of the chiral su2_k wznw model for nonnegative integer level k | [['global', 'gauge', 'symmetry', 'becomes', 'more', 'intricate', 'in', 'low', 'dimensional', 'qft', 'we', 'survey', 'the', 'mathematical', 'concepts', 'leading', 'to', 'the', 'relevant', 'analogues', 'of', 'the', 'd4', 'doplicherhaagroberts', 'theory', 'of', 'superselection', 'sectors', 'and', 'internal', 'symmetry', 'we', 'also', 'review', 'a', 'recently', 'uncovered', 'duality', 'between', 'braid', 'and', 'quantum', 'group', 'representations', 'in', 'an', 'extension', 'of', 'the', 'chiral', 'su2_k', 'wznw', 'model', 'for', 'nonnegative', 'integer', 'level', 'k']] | [-0.14551361928420975, 0.19501710065930544, -0.10750478380841427, 0.12305815143767616, -0.1381133402224052, -0.1591190759911491, -0.0015866606444088292, 0.29923134181520034, -0.253499621140032, -0.25617807747089655, 0.05286734715778509, -0.26604637404821474, -0.22982591000417696, 0.06111848419773039, -0.036317504986574684, 0.01169750232506415, -0.08461206646411326, 0.06306051302516576, -0.1322598416390347, -0.2401268855540146, 0.2950386604392532, 0.013571970885346547, 0.2969783554817068, 0.04993878529760344, 0.10149111860463846, 0.03265195619917057, -0.026583895741576522, -0.02241773979642011, -0.1264533637059403, 0.14838220448441933, 0.29888073459331843, 0.04561413293864963, 0.1448849289766352, -0.46804745037686724, -0.16810179162561764, 0.08793372883268728, 0.13481897471978427, 0.13341399641498794, -0.03169135303474393, -0.32742796749968467, 0.040670778361502395, -0.2030932141532158, -0.15146435337373987, -0.13485886121232962, 0.032023906691706384, -0.1712036131849063, -0.21339695170072132, 0.07362310865699265, 0.04540033457029996, 0.17329126869424663, -0.048961468402232075, -0.1173828753506251, -0.07760507165422213, 0.08293974980840395, 0.05623462288600296, -9.42784561253763e-05, 0.06116582908073504, -0.22575760371182696, -0.1737152149836565, 0.3831613048557834, -0.00958488764369796, -0.20336972438762413, 0.186834267774649, -0.12485641644111481, -0.25599715176263244, 0.049836825709870275, 0.10115793816231448, 0.094248264561335, -0.06818534604048934, 0.21847840313697314, -0.10957718146804335, 0.11299418018787602, 0.05938001103891895, 0.08718503914484434, 0.25406811360655157, 0.09064686685350948, 0.06344985340497103, 0.14180823290270977, 0.027432629974069204, -0.17386206523675857, -0.39171792879893347, -0.16960877378406966, -0.10796810401170033, 0.09991905959483621, -0.1037375105716537, -0.11746855677458747, 0.37776774449017025, 0.12150372880619373, 0.12215785546115888, 0.05837100253697356, 0.18720248405789508, 0.09700465809296945, 0.0890991045964946, 0.014260614306890759, 0.12662493863849547, 0.2455360805294637, 0.025280337869029106, -0.22836357271619911, -0.139733920090607, 0.20299215561003778] |
712.2159 | Stellar contents and star formation in the young open cluster Stock 8 | We present $UBVI_c$ CCD photometry of the young open cluster Stock 8 with the
aim to study the basic properties and star formation scenario in this region.
The radius of the cluster is found to be $\sim 6^{\prime}$ ($\sim 3.6$ pc) and
the reddening within the cluster region varies from $E(B-V)=0.40$ to 0.60 mag.
The cluster is located at a distance of $2.05 \pm 0.10$ kpc. Using H$\alpha$
slitless spectroscopy and 2MASS NIR data we identified H$\alpha$ emission and
NIR excess young stellar objects (YSOs), respectively. The colour-magnitude
diagrams of these YSOs reveal that majority of these objects have ages between
1 to 5 Myr indicating a non-coeval star formation in the cluster. Massive stars
in the cluster region reveal an average age of $\le$ 2 Myr. In the cluster
region ($r \le 6^\prime$) the slope of the mass function (MF), $\Gamma$, in the
mass range $\sim 1.0 \le M/M_\odot < 13.4$ can be represented by a power law
having a slope of $-1.38\pm0.12$, which agrees well with Salpeter value
(-1.35). In the mass range $0.3 \le M/M_\odot < 1.0$, the MF is also found to
follow a power law with a shallower slope of $\Gamma = -0.58\pm 0.23$
indicating a break in the slope of the IMF at $\sim 1 M_\odot$. The slope of
the $K$-band luminosity function for the cluster ($r \le 6^\prime$) is found to
be $0.31\pm0.02$, which is smaller than the average value ($\sim$ 0.4) obtained
for embedded star clusters. A significant number of YSOs are distributed along
a Nebulous Stream towards the east side of the cluster. A small cluster is
embedded in the Nebulous Stream. The YSOs lying in the Nebulous Stream and in
the embedded cluster are found to be younger than the stars in the cluster
Stock 8. It appears that star formation activity in the Nebulous Stream and
embedded cluster may be independent from that of Stock 8.
| astro-ph | we present ubvi_c ccd photometry of the young open cluster stock 8 with the aim to study the basic properties and star formation scenario in this region the radius of the cluster is found to be sim 6prime sim 36 pc and the reddening within the cluster region varies from ebv040 to 060 mag the cluster is located at a distance of 205 pm 010 kpc using halpha slitless spectroscopy and 2mass nir data we identified halpha emission and nir excess young stellar objects ysos respectively the colourmagnitude diagrams of these ysos reveal that majority of these objects have ages between 1 to 5 myr indicating a noncoeval star formation in the cluster massive stars in the cluster region reveal an average age of le 2 myr in the cluster region r le 6prime the slope of the mass function mf gamma in the mass range sim 10 le mm_odot 134 can be represented by a power law having a slope of 138pm012 which agrees well with salpeter value 135 in the mass range 03 le mm_odot 10 the mf is also found to follow a power law with a shallower slope of gamma 058pm 023 indicating a break in the slope of the imf at sim 1 m_odot the slope of the kband luminosity function for the cluster r le 6prime is found to be 031pm002 which is smaller than the average value sim 04 obtained for embedded star clusters a significant number of ysos are distributed along a nebulous stream towards the east side of the cluster a small cluster is embedded in the nebulous stream the ysos lying in the nebulous stream and in the embedded cluster are found to be younger than the stars in the cluster stock 8 it appears that star formation activity in the nebulous stream and embedded cluster may be independent from that of stock 8 | [['we', 'present', 'ubvi_c', 'ccd', 'photometry', 'of', 'the', 'young', 'open', 'cluster', 'stock', '8', 'with', 'the', 'aim', 'to', 'study', 'the', 'basic', 'properties', 'and', 'star', 'formation', 'scenario', 'in', 'this', 'region', 'the', 'radius', 'of', 'the', 'cluster', 'is', 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712.216 | Statistics of geodesics in large quadrangulations | We study the statistical properties of geodesics, i.e. paths of minimal
length, in large random planar quadrangulations. We extend Schaeffer's
well-labeled tree bijection to the case of quadrangulations with a marked
geodesic, leading to the notion of "spine trees", amenable to a direct
enumeration. We obtain the generating functions for quadrangulations with a
marked geodesic of fixed length, as well as with a set of "confluent
geodesics", i.e. a collection of non-intersecting minimal paths connecting two
given points. In the limit of quadrangulations with a large area n, we find in
particular an average number 3*2^i of geodesics between two fixed points at
distance i>>1 from each other. We show that, for generic endpoints, two
confluent geodesics remain close to each other and have an extensive number of
contacts. This property fails for a few "exceptional" endpoints which can be
linked by truly distinct geodesics. Results are presented both in the case of
finite length i and in the scaling limit i ~ n^(1/4). In particular, we give
the scaling distribution of the exceptional points.
| math-ph math.CO math.MP | we study the statistical properties of geodesics ie paths of minimal length in large random planar quadrangulations we extend schaeffers welllabeled tree bijection to the case of quadrangulations with a marked geodesic leading to the notion of spine trees amenable to a direct enumeration we obtain the generating functions for quadrangulations with a marked geodesic of fixed length as well as with a set of confluent geodesics ie a collection of nonintersecting minimal paths connecting two given points in the limit of quadrangulations with a large area n we find in particular an average number 32i of geodesics between two fixed points at distance i1 from each other we show that for generic endpoints two confluent geodesics remain close to each other and have an extensive number of contacts this property fails for a few exceptional endpoints which can be linked by truly distinct geodesics results are presented both in the case of finite length i and in the scaling limit i n14 in particular we give the scaling distribution of the exceptional points | [['we', 'study', 'the', 'statistical', 'properties', 'of', 'geodesics', 'ie', 'paths', 'of', 'minimal', 'length', 'in', 'large', 'random', 'planar', 'quadrangulations', 'we', 'extend', 'schaeffers', 'welllabeled', 'tree', 'bijection', 'to', 'the', 'case', 'of', 'quadrangulations', 'with', 'a', 'marked', 'geodesic', 'leading', 'to', 'the', 'notion', 'of', 'spine', 'trees', 'amenable', 'to', 'a', 'direct', 'enumeration', 'we', 'obtain', 'the', 'generating', 'functions', 'for', 'quadrangulations', 'with', 'a', 'marked', 'geodesic', 'of', 'fixed', 'length', 'as', 'well', 'as', 'with', 'a', 'set', 'of', 'confluent', 'geodesics', 'ie', 'a', 'collection', 'of', 'nonintersecting', 'minimal', 'paths', 'connecting', 'two', 'given', 'points', 'in', 'the', 'limit', 'of', 'quadrangulations', 'with', 'a', 'large', 'area', 'n', 'we', 'find', 'in', 'particular', 'an', 'average', 'number', '32i', 'of', 'geodesics', 'between', 'two', 'fixed', 'points', 'at', 'distance', 'i1', 'from', 'each', 'other', 'we', 'show', 'that', 'for', 'generic', 'endpoints', 'two', 'confluent', 'geodesics', 'remain', 'close', 'to', 'each', 'other', 'and', 'have', 'an', 'extensive', 'number', 'of', 'contacts', 'this', 'property', 'fails', 'for', 'a', 'few', 'exceptional', 'endpoints', 'which', 'can', 'be', 'linked', 'by', 'truly', 'distinct', 'geodesics', 'results', 'are', 'presented', 'both', 'in', 'the', 'case', 'of', 'finite', 'length', 'i', 'and', 'in', 'the', 'scaling', 'limit', 'i', 'n14', 'in', 'particular', 'we', 'give', 'the', 'scaling', 'distribution', 'of', 'the', 'exceptional', 'points']] | [-0.1876994376959053, 0.15018454913169044, -0.04660855855717394, 0.04636732874521609, -0.04588690731537157, -0.11980732716889136, 0.09288952708771894, 0.36872531846165657, -0.2798306814507942, -0.24136067386393603, 0.051609984508882455, -0.36257001290883806, -0.12848450674815373, 0.2024693013561857, -0.07042716164545645, 0.07164800691423732, 0.07283372936684186, 0.07669658001008944, -0.0475515058369112, -0.23005919159535385, 0.3264112433169146, -0.03547338828998968, 0.22765377377606713, 0.043263925286548245, 0.09667936413457369, 0.04133894334068102, -0.006301210060005071, 0.08781120183237026, -0.1736633504374236, 0.0973313429387491, 0.2243794967982961, 0.09918590352972807, 0.19404432809550984, -0.39961046178561416, -0.14313178096300347, 0.1756395266466704, 0.18184613491370843, 0.07591643634674844, -0.014678917663720991, -0.20026710971037862, 0.09266595640138997, -0.08711527058897767, -0.18486071304240495, 0.013528614574128147, 0.06419494907463218, 0.07601527106743629, -0.2080078748340121, -0.0016883109626225654, 0.09265732513861785, 0.09929964444303961, 0.010592759667621182, -0.08639953653947208, -0.01743322942066787, 0.15420668157937295, 0.05273183824957451, 0.026718891325347514, 0.042957471051075724, -0.09934070528581782, -0.1454514413567346, 0.3539431199291452, -0.03195329178986005, -0.24526802167253342, 0.19751314451040516, -0.17498248633847846, -0.15867256185287512, 0.12416269979305092, 0.13819868932612714, 0.157041615291399, -0.12708694948205815, 0.11020476520101868, -0.08834571205079556, 0.06060798722992226, 0.14427379407042454, -0.003637681677506838, 0.2051873146273691, 0.13194956190916413, 0.0999135088075943, 0.19078136937062906, -0.06775742824151681, -0.08924173471663212, -0.3689609483218176, -0.161878097134863, -0.1763864248126982, 0.06700880379238397, -0.19443170431458978, -0.25600923161759886, 0.3613035686077238, 0.11026190757762232, 0.2836922963359797, 0.1738244464272375, 0.1910601394719342, 0.06796186177587915, 0.04226626061183007, 0.11746740791908966, 0.14641140319536186, 0.10382677094722867, -0.03567160218092748, -0.15080110596444435, -0.0011957855814411116, 0.1380670257128043] |
712.2161 | Non-existence of polar factorisations and polar inclusion of a
vector-valued mapping | This paper proves some results concerning the polar factorisation of an
integrable vector-valued function u into the composition of the gradient of a
convex function with a measure-preserving mapping. Not every integrable
function has a polar factorisation; we extend the class of counterexamples. We
introduce a generalisation: u has a polar inclusion if u(x) belongs to the
subdifferential of the convex function at y for almost every pair (x,y) with
respect to a measure-preserving plan. Given a regularity assumption, we show
that such measure-preserving plans are exactly the minimisers of a
Monge-Kantorovich optimisation problem.
| math.FA | this paper proves some results concerning the polar factorisation of an integrable vectorvalued function u into the composition of the gradient of a convex function with a measurepreserving mapping not every integrable function has a polar factorisation we extend the class of counterexamples we introduce a generalisation u has a polar inclusion if ux belongs to the subdifferential of the convex function at y for almost every pair xy with respect to a measurepreserving plan given a regularity assumption we show that such measurepreserving plans are exactly the minimisers of a mongekantorovich optimisation problem | [['this', 'paper', 'proves', 'some', 'results', 'concerning', 'the', 'polar', 'factorisation', 'of', 'an', 'integrable', 'vectorvalued', 'function', 'u', 'into', 'the', 'composition', 'of', 'the', 'gradient', 'of', 'a', 'convex', 'function', 'with', 'a', 'measurepreserving', 'mapping', 'not', 'every', 'integrable', 'function', 'has', 'a', 'polar', 'factorisation', 'we', 'extend', 'the', 'class', 'of', 'counterexamples', 'we', 'introduce', 'a', 'generalisation', 'u', 'has', 'a', 'polar', 'inclusion', 'if', 'ux', 'belongs', 'to', 'the', 'subdifferential', 'of', 'the', 'convex', 'function', 'at', 'y', 'for', 'almost', 'every', 'pair', 'xy', 'with', 'respect', 'to', 'a', 'measurepreserving', 'plan', 'given', 'a', 'regularity', 'assumption', 'we', 'show', 'that', 'such', 'measurepreserving', 'plans', 'are', 'exactly', 'the', 'minimisers', 'of', 'a', 'mongekantorovich', 'optimisation', 'problem']] | [-0.14101640983147823, 0.05539633829206689, -0.11217703405728048, 0.07841012695620946, -0.06937109537551457, -0.11186776211128589, 0.006573192528795768, 0.38594868002419774, -0.3767195455333654, -0.12197253038485019, 0.08521010947879404, -0.3019715020472699, -0.15438143728657605, 0.15637240133822916, -0.12350889171988881, 0.07217775207964029, 0.07351649596672902, 0.03927959103454301, -0.17957041546098015, -0.23177198101419638, 0.34152677627478506, -0.09012236476856027, 0.14776753203230017, 0.07632058112327247, 0.17989993298505533, 0.06717143327176095, 0.027466941719002862, 0.006388878509243752, -0.16689896305189827, 0.09398536695083207, 0.27461807811236444, 0.14371108389063242, 0.32575940717249474, -0.30398490791335364, -0.16282600818320792, 0.1944661769035094, 0.06655003579749548, 0.0012248682175227937, -0.06478803447309009, -0.24957671567322093, 0.09034889547438844, -0.14915660155461508, -0.18131233461230914, -0.03872086961278098, 0.027927982571356473, 0.08797799993028983, -0.34497061645750826, -0.008537294452098455, 0.1581431387730458, 0.05063727061125509, -0.11511222952283284, -0.09683838970166572, -0.03083043462755357, 0.06520147829197664, 0.04969878885102399, 0.18926535706788777, 0.06568077171315498, -0.06412144924484273, -0.08810609708381618, 0.36459135474201215, -0.08865746712074318, -0.3087524856302015, 0.1695336174081139, -0.17615785904691872, -0.197858551452729, 0.10419852967235319, 0.12195799701866951, 0.14465924648647296, -0.16582071190660305, 0.20436556758656305, -0.15751231124902026, 0.12268944568139442, 0.04899199178660328, 0.01828730104991453, 0.15870422540985524, 0.1269183354402714, 0.20373393701726294, 0.1932641616601378, 0.00793155940606239, -0.04474693047318687, -0.358845546727683, -0.16718784131188977, -0.15921246285669188, 0.11667118855876517, -0.09046327009143189, -0.2139791450760466, 0.3884705290237957, 0.08102336160075713, 0.16323155458729238, 0.14027446303318472, 0.181741810601918, 0.13032070748468347, 0.03084728522028061, 0.09530346086645063, 0.11875101523331436, 0.1384393324892215, 0.03697454944956414, -0.19062206384904207, 0.08770988858800302, 0.19673472504190942] |
712.2162 | Relativistic models of magnetars: structure and deformations | We find numerical solutions of the coupled system of Einstein-Maxwell's
equations with a linear approach, in which the magnetic field acts as a
perturbation of a spherical neutron star. In our study, magnetic fields having
both poloidal and toroidal components are considered, and higher order
multipoles are also included. We evaluate the deformations induced by different
field configurations, paying special attention to those for which the star has
a prolate shape. We also explore the dependence of the stellar deformation on
the particular choice of the equation of state and on the mass of the star. Our
results show that, for neutron stars with mass M = 1.4 Msun and surface
magnetic fields of the order of 10^15 G, a quadrupole ellipticity of the order
of 10^(-6) - 10^(-5) should be expected. Low mass neutron stars are in
principle subject to larger deformations (quadrupole ellipticities up to
10^(-3) in the most extreme case). The effect of quadrupolar magnetic fields is
comparable to that of dipolar components. A magnetic field permeating the whole
star is normally needed to obtain negative quadrupole ellipticities, while
fields confined to the crust typically produce positive quadrupole
ellipticities.
| astro-ph gr-qc | we find numerical solutions of the coupled system of einsteinmaxwells equations with a linear approach in which the magnetic field acts as a perturbation of a spherical neutron star in our study magnetic fields having both poloidal and toroidal components are considered and higher order multipoles are also included we evaluate the deformations induced by different field configurations paying special attention to those for which the star has a prolate shape we also explore the dependence of the stellar deformation on the particular choice of the equation of state and on the mass of the star our results show that for neutron stars with mass m 14 msun and surface magnetic fields of the order of 1015 g a quadrupole ellipticity of the order of 106 105 should be expected low mass neutron stars are in principle subject to larger deformations quadrupole ellipticities up to 103 in the most extreme case the effect of quadrupolar magnetic fields is comparable to that of dipolar components a magnetic field permeating the whole star is normally needed to obtain negative quadrupole ellipticities while fields confined to the crust typically produce positive quadrupole ellipticities | [['we', 'find', 'numerical', 'solutions', 'of', 'the', 'coupled', 'system', 'of', 'einsteinmaxwells', 'equations', 'with', 'a', 'linear', 'approach', 'in', 'which', 'the', 'magnetic', 'field', 'acts', 'as', 'a', 'perturbation', 'of', 'a', 'spherical', 'neutron', 'star', 'in', 'our', 'study', 'magnetic', 'fields', 'having', 'both', 'poloidal', 'and', 'toroidal', 'components', 'are', 'considered', 'and', 'higher', 'order', 'multipoles', 'are', 'also', 'included', 'we', 'evaluate', 'the', 'deformations', 'induced', 'by', 'different', 'field', 'configurations', 'paying', 'special', 'attention', 'to', 'those', 'for', 'which', 'the', 'star', 'has', 'a', 'prolate', 'shape', 'we', 'also', 'explore', 'the', 'dependence', 'of', 'the', 'stellar', 'deformation', 'on', 'the', 'particular', 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712.2163 | Generalized Tsirelson Inequalities, Commuting-Operator Provers, and
Multi-Prover Interactive Proof Systems | A central question in quantum information theory and computational complexity
is how powerful nonlocal strategies are in cooperative games with imperfect
information, such as multi-prover interactive proof systems. This paper
develops a new method for proving limits of nonlocal strategies that make use
of prior entanglement among players (or, provers, in the terminology of
multi-prover interactive proofs). Instead of proving the limits for usual
isolated provers who initially share entanglement, this paper proves the limits
for "commuting-operator provers", who share private space, but can apply only
such operators that are commutative with any operator applied by other provers.
Commuting-operator provers are at least as powerful as usual isolated but
prior-entangled provers, and thus, limits for commuting-operator provers
immediately give limits for usual entangled provers. Using this method, we
obtain an n-party generalization of the Tsirelson bound for the Clauser-Horne-
Shimony-Holt inequality for every n. Our bounds are tight in the sense that, in
every n-party case, the equality is achievable by a usual nonlocal strategy
with prior entanglement. We also apply our method to a 3-prover 1-round binary
interactive proof for NEXP. Combined with the technique developed by Kempe,
Kobayashi, Matsumoto, Toner and Vidick to analyze the soundness of the proof
system, it is proved to be NP-hard to distinguish whether the entangled value
of a 3-prover 1-round binary-answer game is equal to 1 or at most 1-1/p(n) for
some polynomial p, where n is the number of questions. This is in contrast to
the 2-prover 1-round binary-answer case, where the corresponding problem is
efficiently decidable. Alternatively, NEXP has a 3-prover 1-round binary
interactive proof system with perfect completeness and soundness 1-2^{-poly}.
| quant-ph | a central question in quantum information theory and computational complexity is how powerful nonlocal strategies are in cooperative games with imperfect information such as multiprover interactive proof systems this paper develops a new method for proving limits of nonlocal strategies that make use of prior entanglement among players or provers in the terminology of multiprover interactive proofs instead of proving the limits for usual isolated provers who initially share entanglement this paper proves the limits for commutingoperator provers who share private space but can apply only such operators that are commutative with any operator applied by other provers commutingoperator provers are at least as powerful as usual isolated but priorentangled provers and thus limits for commutingoperator provers immediately give limits for usual entangled provers using this method we obtain an nparty generalization of the tsirelson bound for the clauserhorne shimonyholt inequality for every n our bounds are tight in the sense that in every nparty case the equality is achievable by a usual nonlocal strategy with prior entanglement we also apply our method to a 3prover 1round binary interactive proof for nexp combined with the technique developed by kempe kobayashi matsumoto toner and vidick to analyze the soundness of the proof system it is proved to be nphard to distinguish whether the entangled value of a 3prover 1round binaryanswer game is equal to 1 or at most 11pn for some polynomial p where n is the number of questions this is in contrast to the 2prover 1round binaryanswer case where the corresponding problem is efficiently decidable alternatively nexp has a 3prover 1round binary interactive proof system with perfect completeness and soundness 12poly | [['a', 'central', 'question', 'in', 'quantum', 'information', 'theory', 'and', 'computational', 'complexity', 'is', 'how', 'powerful', 'nonlocal', 'strategies', 'are', 'in', 'cooperative', 'games', 'with', 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712.2164 | Bjorken flow from an AdS Schwarzschild black hole | We consider a large black hole in asymptotically AdS spacetime of arbitrary
dimension with a Minkowski boundary. By performing an appropriate slicing as we
approach the boundary, we obtain via holographic renormalization a gauge theory
fluid obeying Bjorken hydrodynamics in the limit of large longitudinal proper
time. The metric we obtain reproduces to leading order the metric recently
found as a direct solution of the Einstein equations in five dimensions. Our
results are also in agreement with recent exact results in three dimensions.
| hep-th | we consider a large black hole in asymptotically ads spacetime of arbitrary dimension with a minkowski boundary by performing an appropriate slicing as we approach the boundary we obtain via holographic renormalization a gauge theory fluid obeying bjorken hydrodynamics in the limit of large longitudinal proper time the metric we obtain reproduces to leading order the metric recently found as a direct solution of the einstein equations in five dimensions our results are also in agreement with recent exact results in three dimensions | [['we', 'consider', 'a', 'large', 'black', 'hole', 'in', 'asymptotically', 'ads', 'spacetime', 'of', 'arbitrary', 'dimension', 'with', 'a', 'minkowski', 'boundary', 'by', 'performing', 'an', 'appropriate', 'slicing', 'as', 'we', 'approach', 'the', 'boundary', 'we', 'obtain', 'via', 'holographic', 'renormalization', 'a', 'gauge', 'theory', 'fluid', 'obeying', 'bjorken', 'hydrodynamics', 'in', 'the', 'limit', 'of', 'large', 'longitudinal', 'proper', 'time', 'the', 'metric', 'we', 'obtain', 'reproduces', 'to', 'leading', 'order', 'the', 'metric', 'recently', 'found', 'as', 'a', 'direct', 'solution', 'of', 'the', 'einstein', 'equations', 'in', 'five', 'dimensions', 'our', 'results', 'are', 'also', 'in', 'agreement', 'with', 'recent', 'exact', 'results', 'in', 'three', 'dimensions']] | [-0.14682148373966297, 0.11382997756510417, -0.11179900140198598, 0.056300671754337575, -0.05582570362589266, -0.1110117534871202, -0.020493384738205875, 0.3154099981064897, -0.11979354567915561, -0.2590458143659564, 0.09570682428479868, -0.28740967096514014, -0.13705456004960528, 0.15020661259417883, -0.031467864519905256, 0.10894530021910925, 0.02867159788238715, 0.056403019869453216, -0.121626867991255, -0.2549222739755614, 0.3677603091921164, 0.022637420614440757, 0.2961030763585165, 0.03348343379526253, 0.15265490873772875, 0.0067116444403058795, -0.05265417037509292, 0.14209327743534583, -0.18585809883493257, 0.08044149911210659, 0.24831484233489237, 0.03562791049985372, 0.19231235996135568, -0.41847774274198407, -0.24627225141388825, 0.00867923858564302, 0.14059253608673272, 0.18737932568954596, -0.0489944135209164, -0.27249692341155674, 0.066214970899297, -0.210336745234139, -0.20014381095772632, -0.11578383773610175, -0.0015860609261386365, -0.0710956042222903, -0.2766157205283911, 0.12967406955781863, 0.003240375521491809, -0.018033699923565228, -0.12263255455273103, -0.03314963741093335, 0.00229686500044562, 0.09401760613742138, 0.12474867901961173, 0.06418399613754577, 0.043204623397933434, -0.12741833221144885, -0.12582218942109002, 0.38283847553475975, -0.11703280130182449, -0.27485537357314166, 0.17664322269945798, -0.184547758936119, -0.10439822753801582, 0.0757095279531127, 0.14643918712769288, 0.18952859903290217, -0.1497979284185602, 0.16943879772246961, -0.07327559630453856, 0.12274710021643753, 0.11856310464812062, 0.02568170990356937, 0.18517732334110032, 0.13028174359491657, 0.04782058150193329, 0.16774727449561638, -0.03156562371695616, -0.13663929170109781, -0.3778354632387678, -0.1779750699600968, -0.14317682587418212, 0.12411324964858682, -0.236419656974227, -0.1725033178998449, 0.3070110412179885, 0.12275050875160308, 0.21158180758357048, 0.07456339256142278, 0.24899960394544773, 0.11357115393543774, 0.032186154068548634, 0.11804069372185741, 0.265506005593497, 0.11385723586048348, 0.13044906937214265, -0.20422184873506966, -0.10352402119139906, 0.17709628352334342] |
712.2165 | Isomorphism of critical and off-critical operator spaces in
two-dimensional quantum field theory | For the simplest quantum field theory originating from a non-trivial fixed
point of the renormalization group, the Lee-Yang model, we show that the
operator space determined by the particle dynamics in the massive phase and
that prescribed by conformal symmetry at criticality coincide.
| hep-th cond-mat.stat-mech math-ph math.MP | for the simplest quantum field theory originating from a nontrivial fixed point of the renormalization group the leeyang model we show that the operator space determined by the particle dynamics in the massive phase and that prescribed by conformal symmetry at criticality coincide | [['for', 'the', 'simplest', 'quantum', 'field', 'theory', 'originating', 'from', 'a', 'nontrivial', 'fixed', 'point', 'of', 'the', 'renormalization', 'group', 'the', 'leeyang', 'model', 'we', 'show', 'that', 'the', 'operator', 'space', 'determined', 'by', 'the', 'particle', 'dynamics', 'in', 'the', 'massive', 'phase', 'and', 'that', 'prescribed', 'by', 'conformal', 'symmetry', 'at', 'criticality', 'coincide']] | [-0.1524328261418918, 0.21979240642124137, -0.10163329919626893, 0.05529812719066476, -0.011176579507327703, -0.13829197573237295, 0.04603068208116172, 0.2714343088743992, -0.25514312998153443, -0.2215781026454859, 0.08287918023754258, -0.3020956733502274, -0.19933622685629268, 0.10733550280971496, 0.03931582162459923, 0.05716052482467751, -0.018907664950157322, 0.10953923419854322, -0.12543022863263653, -0.149411114780124, 0.4170550952535556, 0.02665350517680392, 0.2718099365877204, 0.024367020064748304, 0.11159262723874214, 0.03509967176373615, 0.025654536569057855, 0.031061092076882676, -0.13314601379550917, 0.03011330717438182, 0.1898711554619462, 0.020699524862128636, 0.18722023231943197, -0.4198626304088637, -0.2582100494439865, 0.0879856088350332, 0.12700683775162974, 0.10184177799626838, -0.09499550425057668, -0.32588979627850445, 0.09503661048446976, -0.13047614399083826, -0.22301147234907678, -0.049161788574311624, -0.050036385598549143, -0.07559170491646888, -0.20448182118775018, 0.09000501012819451, 0.02082667070939097, 0.10448178255302441, -0.020084833379748257, -0.02911753213942744, -0.0829028288054085, 0.11200301127161744, 0.04993983119628717, 0.07007217868556116, 0.14618285129464037, -0.1720920416938011, -0.13678786953434693, 0.3929454705049825, -0.07851728566294146, -0.1727988339092875, 0.1424858229408084, -0.2150171346052788, -0.17910013262312427, 0.13911982413467971, 0.09145824649089644, 0.08907403560831796, -0.09386684314542731, 0.21115191353262988, -0.0729683124200376, 0.09509096074061534, 0.011240735108595948, -0.018706417512581792, 0.23352863981800023, 0.03623033886732057, 0.06059826737226442, 0.11217210745049078, -0.019394967336814072, -0.22778928037299667, -0.3888303190469742, -0.13636966231603956, -0.24220129791214023, 0.05200164195496675, -0.16660176542402125, -0.1655303061354992, 0.42267873336366096, 0.15438060182367375, 0.19294052923011573, 0.042581814536175065, 0.19395866838478765, 0.15791922734054023, 0.08124443925483975, 0.08297411887365025, 0.23009876917701128, 0.1203655592642378, 0.0238074503465404, -0.298741705103799, -0.06869089667317133, 0.16536137769215328] |
712.2166 | Detection of fast neutrons and digital pulse-shape discrimination
between neutrons and gamma rays | The basic principles of detection of fast neutrons with liquid scintillator
detectors are reviewed, together with a real example in the form of the Neutron
Wall array. Two of the challenges in neutron detection, discrimination of
neutrons and gamma rays and identification of cross talk between detectors due
to neutron scattering, are briefly discussed, as well as possible solutions to
these problems. The possibilities of using digital techniques for pulse-shape
discrimination are examined. Results from a digital and analog versions of the
zero cross-over algorithm are presented. The digital pulse-shape discrimination
is shown to give, at least, as good results as the corresponding analogue
version.
| nucl-ex physics.ins-det | the basic principles of detection of fast neutrons with liquid scintillator detectors are reviewed together with a real example in the form of the neutron wall array two of the challenges in neutron detection discrimination of neutrons and gamma rays and identification of cross talk between detectors due to neutron scattering are briefly discussed as well as possible solutions to these problems the possibilities of using digital techniques for pulseshape discrimination are examined results from a digital and analog versions of the zero crossover algorithm are presented the digital pulseshape discrimination is shown to give at least as good results as the corresponding analogue version | [['the', 'basic', 'principles', 'of', 'detection', 'of', 'fast', 'neutrons', 'with', 'liquid', 'scintillator', 'detectors', 'are', 'reviewed', 'together', 'with', 'a', 'real', 'example', 'in', 'the', 'form', 'of', 'the', 'neutron', 'wall', 'array', 'two', 'of', 'the', 'challenges', 'in', 'neutron', 'detection', 'discrimination', 'of', 'neutrons', 'and', 'gamma', 'rays', 'and', 'identification', 'of', 'cross', 'talk', 'between', 'detectors', 'due', 'to', 'neutron', 'scattering', 'are', 'briefly', 'discussed', 'as', 'well', 'as', 'possible', 'solutions', 'to', 'these', 'problems', 'the', 'possibilities', 'of', 'using', 'digital', 'techniques', 'for', 'pulseshape', 'discrimination', 'are', 'examined', 'results', 'from', 'a', 'digital', 'and', 'analog', 'versions', 'of', 'the', 'zero', 'crossover', 'algorithm', 'are', 'presented', 'the', 'digital', 'pulseshape', 'discrimination', 'is', 'shown', 'to', 'give', 'at', 'least', 'as', 'good', 'results', 'as', 'the', 'corresponding', 'analogue', 'version']] | [-0.0385007972197075, 0.13951478419004984, -0.07336843786761164, 0.09474230542268959, -0.039926948052431854, -0.15006187872162888, 0.012940160628585589, 0.3534185231419369, -0.23477844085899138, -0.34716201875181424, 0.13486912174904275, -0.36470243869615454, -0.09872820726817562, 0.2686450086711418, -0.02784115593614323, 0.08025319567393689, 0.06561849874089516, 0.04355906753889507, -0.10845275082281747, -0.18907935493293085, 0.2738018608341614, 0.0958547611277373, 0.3049902602675415, 0.06832508614586134, 0.11934015091863416, -0.001529782194466818, -0.08472096260104861, -0.026678712014108895, -0.09897930273963582, 0.06379358925014025, 0.3278831266642859, 0.14214168537762903, 0.1279760268295095, -0.4186567418809448, -0.1482932149343902, 0.10054952997182097, 0.12401448647170106, 0.07895515718846582, -0.1198206848132291, -0.30174026679957194, 0.08729392950910897, -0.1848053367542369, -0.1342840790216412, -0.06129072198112096, -0.018882550188295898, 0.11072795121414986, -0.18241614109526078, 0.036342706823987624, 0.02782700908303793, 0.0032720344939402173, -0.053247219602399996, -0.18180502230922382, 0.08987332149408758, 0.08017063224244686, 0.0829351082067227, -0.013719110381567761, 0.11896276442067964, -0.16022333841593492, -0.1717256577020245, 0.3683097086758131, -0.017878742551519756, -0.15486173926896993, 0.1934991984938582, -0.11735324185962479, -0.07658285141833836, 0.16245023383803311, 0.15895077641609878, 0.07932455201322834, -0.16434764569359167, 0.010822536231439915, 0.0273844670593029, 0.16835313946385647, 0.10591805949807168, 0.05675675383813324, 0.22999514651795228, 0.24921562735966984, 0.014787302526556665, 0.14752481606168052, -0.17676295120036228, -0.03576837317807423, -0.34926582195663025, -0.15039029683740365, -0.14587779004969412, 0.011892693605096568, -0.024111396579454387, -0.14496276533935173, 0.34228071714751424, 0.07203535436696949, 0.13891162316625316, -0.016027285103198317, 0.3335755963233255, 0.05844194232264445, 0.017937805769698962, -0.020815813452714965, 0.2790740871768711, 0.19564995287607115, 0.09420385906650197, -0.19506873679236464, 0.017053078141595637, 0.04715291729773439] |
712.2167 | Existence of positive definite noncoercive sums of squares | Positive definite forms $f$ which are sums of squares are constructed to have
the additional property that the members of any collection of forms whose
squares sum to $f$ must share a nontrivial complex root.
| math.AG math.AP | positive definite forms f which are sums of squares are constructed to have the additional property that the members of any collection of forms whose squares sum to f must share a nontrivial complex root | [['positive', 'definite', 'forms', 'f', 'which', 'are', 'sums', 'of', 'squares', 'are', 'constructed', 'to', 'have', 'the', 'additional', 'property', 'that', 'the', 'members', 'of', 'any', 'collection', 'of', 'forms', 'whose', 'squares', 'sum', 'to', 'f', 'must', 'share', 'a', 'nontrivial', 'complex', 'root']] | [-0.23136214720351356, 0.1048458223630275, -0.08421279372913497, 0.009636831336787768, -0.14714547688407556, -0.15280660570466092, -0.02168449552929295, 0.3566187003893512, -0.32040194948869094, -0.24675034540040153, 0.11817879989477141, -0.3608960908438478, -0.1454344988401447, 0.13011258292411054, -0.009744895568915776, 0.0246372896113566, 0.021534407724227225, 0.13675119520298074, -0.11446259207358318, -0.37852504455617497, 0.3537082655089242, -0.08848507651793105, 0.11669979209878616, -0.01986760984041861, 0.12880131490528585, -0.011324889292674405, 0.0021365718716489417, 0.009165536000260285, -0.06843630270471164, 0.17488914164049285, 0.27275450815047536, 0.14511395203215735, 0.325033010329519, -0.3358911127650312, -0.15068154029015984, 0.24261383382337434, 0.1220703940306391, -0.0831947579880112, 0.016879373842052053, -0.18335345573723316, 0.1555878826616598, -0.11852195071322577, -0.16973157511757953, -0.11962050180882215, 0.016434680989810397, 0.07783819793590478, -0.32063213156403175, 0.0066963372485978265, 0.09808993179883276, 0.07928223806167288, -0.012312730208837561, -0.26172578249658857, -0.056681724238608566, 0.10844803980684706, 0.024874153626816612, -0.008774484604197953, 0.021936100468571695, -0.04716024949614491, -0.10164417658067708, 0.3235677818102496, -0.010321608894238514, -0.2746965109237603, 0.1603352122674031, -0.17471296042203904, -0.12465801845703806, 0.18378240870577947, 0.15449302435985635, 0.06190806100411075, -0.10932605628456388, 0.08173437152124409, -0.16086402612605266, 0.11796603740325996, 0.1231905220608626, 0.0312479959135609, 0.23302623000262038, -0.06858678972348571, 0.09724955840169319, 0.10324162835521357, 0.05434437255774226, -0.06970252664759755, -0.3436009891065104, -0.1727282566683633, -0.2011408477223345, 0.14765329408858505, -0.08325046495135341, -0.30932933831853526, 0.35033454107386724, -0.03715892391545432, 0.17900190989353826, 0.10193679655037288, 0.20342570303806237, 0.1443317533337644, 0.1861188194049256, 0.030109360548002378, 0.0958782703549202, 0.16267767245216028, -0.09154231404619557, -0.1402639485047465, 0.08264179779216647, 0.122531723576997] |
712.2168 | Study of conditions of use of E-services accessible to visually disabled
persons | The aim of this paper is to determine the expectations that French-speaking
disabled persons have for electronic administrative sites (utility). At the
same time, it is a matter of identifying the difficulties of use that the
manipulation of these E-services poses concretely for blind people (usability)
and of evaluating the psychosocial impacts on the way of life of these people
with specific needs. We show that the lack of numerical accessibility is likely
to accentuate the social exclusion of which these people are victim by
establishing a numerical glass ceiling.
| cs.HC | the aim of this paper is to determine the expectations that frenchspeaking disabled persons have for electronic administrative sites utility at the same time it is a matter of identifying the difficulties of use that the manipulation of these eservices poses concretely for blind people usability and of evaluating the psychosocial impacts on the way of life of these people with specific needs we show that the lack of numerical accessibility is likely to accentuate the social exclusion of which these people are victim by establishing a numerical glass ceiling | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'determine', 'the', 'expectations', 'that', 'frenchspeaking', 'disabled', 'persons', 'have', 'for', 'electronic', 'administrative', 'sites', 'utility', 'at', 'the', 'same', 'time', 'it', 'is', 'a', 'matter', 'of', 'identifying', 'the', 'difficulties', 'of', 'use', 'that', 'the', 'manipulation', 'of', 'these', 'eservices', 'poses', 'concretely', 'for', 'blind', 'people', 'usability', 'and', 'of', 'evaluating', 'the', 'psychosocial', 'impacts', 'on', 'the', 'way', 'of', 'life', 'of', 'these', 'people', 'with', 'specific', 'needs', 'we', 'show', 'that', 'the', 'lack', 'of', 'numerical', 'accessibility', 'is', 'likely', 'to', 'accentuate', 'the', 'social', 'exclusion', 'of', 'which', 'these', 'people', 'are', 'victim', 'by', 'establishing', 'a', 'numerical', 'glass', 'ceiling']] | [-0.1041260430485838, 0.0835373716816927, -0.061016930924314594, 0.07026052007503393, -0.12384563024776678, -0.11729395990259946, 0.1122319161801392, 0.3855619227824112, -0.22471355868813891, -0.33963250302606157, 0.1282543658434103, -0.3034746637360917, -0.15517817138590748, 0.15782249446751342, -0.11540098233769337, 0.01103673688032561, 0.05534415954413514, 0.05875695916668822, -0.0025092519949086838, -0.3109565536181132, 0.3446219666408271, 0.04003897923976183, 0.2639502557201518, 0.11631087015589905, 0.06522127608768642, -0.02414514245465398, -0.04367766406697531, -0.012695815972983837, -0.07918553511578162, 0.18391012708873153, 0.3128321176640586, 0.17084938645259373, 0.35149005158907837, -0.42679484530041617, -0.1546442409666876, 0.10959149616149565, 0.1113725470016814, 0.09311230666029992, -0.05979480121621034, -0.32962344473797, 0.10325260273853523, -0.17070303209539917, -0.12643825587713056, -0.05195669817427794, -0.0014332462516095904, 0.03410185216796688, -0.2043333510764771, 0.04265369124089678, 0.013692184046117797, 0.09512766162968345, -0.024943545478810038, -0.08317195462166435, 0.004666719360587498, 0.2296353119632436, 0.09133041806570771, -0.04295719671063125, 0.16783762288590273, -0.19648318769824175, -0.11290319675269227, 0.40928702081243196, 0.06218430937992202, -0.16492403992451726, 0.2494491395023134, -0.1304955948014847, -0.12755073046622176, 0.07162334035448213, 0.18230314475432452, 0.06599116293040828, -0.1938246285335885, 0.008539022990993949, -0.04879773756903079, 0.13227412663400173, 0.06851131114591327, -0.006384069819210304, 0.2373772321682837, 0.1986228470535328, 0.07340430822482126, 0.09708674293425348, -0.06208775166370389, -0.07769284767823087, -0.2576578648346994, -0.19913756630590393, -0.17532536790499256, 0.03387633997222616, -0.07805015921266102, -0.1265266131506198, 0.39140238360398344, 0.23418555040083852, 0.12858556491426296, 0.07300698662099118, 0.2879194362166648, 0.06168685336144537, 0.06974207990699344, 0.022023097099736332, 0.20004407197702676, 0.007427504542283714, 0.11338903513323102, -0.21553755807819672, 0.1589125359864233, -0.022413246824241166] |
712.2169 | Radio emission in clusters and connection to X-ray emission | The most spectacular aspect of cluster radio emission is represented by the
large-scale diffuse radio sources, which cannot be obviously associated with
any individual galaxy. These sources demonstrate the existence of relativistic
particles and magnetic fields in the cluster volume, thus indicating the
presence of non-thermal processes in the hot intracluster medium. The knowledge
of the properties of these sources has increased significantly in recent years,
owing to sensitive radio images and to the development of theoretical models.
An important piece of information on the origin and evolution of these sources
can be obtained by the cluster X-ray emission of thermal origin, and by its
relation to the radio emission. Moreover, non-thermal X-ray emission of inverse
Compton origin gives direct information on the energy density of radio emitting
particles and the intensity of magnetic field.
| astro-ph | the most spectacular aspect of cluster radio emission is represented by the largescale diffuse radio sources which cannot be obviously associated with any individual galaxy these sources demonstrate the existence of relativistic particles and magnetic fields in the cluster volume thus indicating the presence of nonthermal processes in the hot intracluster medium the knowledge of the properties of these sources has increased significantly in recent years owing to sensitive radio images and to the development of theoretical models an important piece of information on the origin and evolution of these sources can be obtained by the cluster xray emission of thermal origin and by its relation to the radio emission moreover nonthermal xray emission of inverse compton origin gives direct information on the energy density of radio emitting particles and the intensity of magnetic field | [['the', 'most', 'spectacular', 'aspect', 'of', 'cluster', 'radio', 'emission', 'is', 'represented', 'by', 'the', 'largescale', 'diffuse', 'radio', 'sources', 'which', 'can', 'not', 'be', 'obviously', 'associated', 'with', 'any', 'individual', 'galaxy', 'these', 'sources', 'demonstrate', 'the', 'existence', 'of', 'relativistic', 'particles', 'and', 'magnetic', 'fields', 'in', 'the', 'cluster', 'volume', 'thus', 'indicating', 'the', 'presence', 'of', 'nonthermal', 'processes', 'in', 'the', 'hot', 'intracluster', 'medium', 'the', 'knowledge', 'of', 'the', 'properties', 'of', 'these', 'sources', 'has', 'increased', 'significantly', 'in', 'recent', 'years', 'owing', 'to', 'sensitive', 'radio', 'images', 'and', 'to', 'the', 'development', 'of', 'theoretical', 'models', 'an', 'important', 'piece', 'of', 'information', 'on', 'the', 'origin', 'and', 'evolution', 'of', 'these', 'sources', 'can', 'be', 'obtained', 'by', 'the', 'cluster', 'xray', 'emission', 'of', 'thermal', 'origin', 'and', 'by', 'its', 'relation', 'to', 'the', 'radio', 'emission', 'moreover', 'nonthermal', 'xray', 'emission', 'of', 'inverse', 'compton', 'origin', 'gives', 'direct', 'information', 'on', 'the', 'energy', 'density', 'of', 'radio', 'emitting', 'particles', 'and', 'the', 'intensity', 'of', 'magnetic', 'field']] | [-0.07938555770498865, 0.1506228579341148, -0.05504800123504966, 0.07541939706339583, -0.10127546276678057, -0.020527359526193535, 0.02504869586589527, 0.4270102237762116, -0.24294904617828947, -0.33879172485595677, 0.07598958386669812, -0.2921941282500698, -0.03718127840308144, 0.21233246267964953, 0.039999659354661536, -0.043698698405077105, 0.021658770729760256, -0.036167876178617865, 0.021874484941637254, -0.1840132657534388, 0.33463131730198203, 0.14109519852654023, 0.24950894524569295, 0.09612356088644661, 0.07305616481394014, -0.048560090183266715, -0.09711412429083686, 0.011219078079139924, -0.03453490255838808, 0.10492939593078678, 0.20591752156598672, 0.1302571857745266, 0.1854165254318265, -0.43167488135890486, -0.28674599107163135, 0.08589748947826378, 0.1830095667255056, 0.015501659941304858, -0.06266808302504667, -0.3019468875273186, 0.05777729589745457, -0.13596963192685507, -0.18106359004741535, 0.05063057142893633, 0.013805056869066046, 0.0486517754239578, -0.17851884090957945, 0.13683517867706113, 0.02954769140599049, 0.017587223121635735, -0.10801487141682575, -0.06575541200992815, -0.008151382993673906, 0.1006448673639063, 0.07074575925670455, 0.0303266776352436, 0.20998086427297333, -0.1770914400181295, -0.13287638540393398, 0.40615868912872805, -0.016330115380696952, -0.028247445342404878, 0.22908670323736527, -0.21400522282141643, -0.16500769448055722, 0.21026432497413172, 0.1598106695626698, 0.05044793914866579, -0.1608278421780971, 0.017711094955088543, -0.006286975366974194, 0.18757336166077843, 0.004950618472374866, 0.12297677083862414, 0.32043828226639615, 0.09777832660748732, 0.015409405062468174, 0.1517078487235909, -0.1973703985538176, -0.008198929588509011, -0.23908886294264128, -0.10643793314503615, -0.17921694021617227, 0.10695372089439308, -0.12476326692825858, -0.15512383383226253, 0.37676792886614907, 0.12464388069587157, 0.14658037683351294, -0.03144854153694777, 0.3338739959769608, 0.12378260225180865, 0.08099958556704223, 0.11452157743042335, 0.29372832655002745, 0.20474704489735066, 0.0991367334705394, -0.23793624985538533, 0.08122960823974983, -0.03766140889937935] |
712.217 | Lorentz-violation-induced arrival delays of cosmological particles | We point out that previous studies of possible Lorentz-violating effects in
astronomical time-of-flight data did not take into account the entire
implications of the universe's cosmological expansion. We present the
derivation of the accurate formulation of the problem and show that the
resulting correction of the limits on Lorentz violation is significant.
| astro-ph hep-ph | we point out that previous studies of possible lorentzviolating effects in astronomical timeofflight data did not take into account the entire implications of the universes cosmological expansion we present the derivation of the accurate formulation of the problem and show that the resulting correction of the limits on lorentz violation is significant | [['we', 'point', 'out', 'that', 'previous', 'studies', 'of', 'possible', 'lorentzviolating', 'effects', 'in', 'astronomical', 'timeofflight', 'data', 'did', 'not', 'take', 'into', 'account', 'the', 'entire', 'implications', 'of', 'the', 'universes', 'cosmological', 'expansion', 'we', 'present', 'the', 'derivation', 'of', 'the', 'accurate', 'formulation', 'of', 'the', 'problem', 'and', 'show', 'that', 'the', 'resulting', 'correction', 'of', 'the', 'limits', 'on', 'lorentz', 'violation', 'is', 'significant']] | [-0.12291100871964143, 0.06918990364871345, -0.12227545556379482, 0.07595325205161665, -0.10946023863596985, -0.051120107957663447, 0.06471217512556066, 0.3131488401514406, -0.19025809770951477, -0.265707362192468, 0.07549367350517198, -0.2665203126066794, -0.10069749984317101, 0.20843263788936803, -0.005832110280887439, 0.010656101163476706, 0.08423363014410895, -0.00048529356718063354, -0.10666940047051937, -0.2516868468463564, 0.32047840206024164, 0.10224670886348647, 0.25950491594938707, 0.11234889079171878, 0.1253110328622055, -0.0026778521669956925, -0.12855501687870577, 0.053464414957069, -0.15521730624655342, 0.06222977630498532, 0.17444494685444695, 0.1570726608266481, 0.22613633545831993, -0.46994938196327823, -0.25908238736267847, 0.1255400086251589, 0.14371496596588537, 0.15581195765676406, -0.044269277331365556, -0.2740165785026665, -0.0018360537136546695, -0.17749286385682914, -0.10523595863308471, -0.07309726199421746, 0.018403570203540418, -0.06310168668054618, -0.22297794535720292, 0.12101786999175182, 0.062225341716279775, -0.01621993556797791, -0.11710961112895837, -0.13267756099454486, 0.04866478035511626, 0.13436708430974528, 0.09202181800859623, -0.03701969928358896, 0.11031647788163704, -0.11740152369468258, -0.083114427783025, 0.4570744480364598, -0.06748914252966642, -0.16128289996861264, 0.09578606977503604, -0.22743719710538593, -0.18553412669839767, 0.11925884200116763, 0.16490758157585964, 0.08090877017149559, -0.162284248159267, 0.13072136595124342, -0.04672443504946736, 0.15577857429441513, 0.03344555072432671, 0.05419436453555066, 0.23689728097703594, 0.12788766419712025, 0.021156440457651533, 0.08489936450496316, -0.11135865792255992, -0.08018877604515112, -0.4056685030317077, -0.14317461393987357, -0.12609058944508433, 0.04809007751156549, -0.11548893136624919, -0.14836119298035136, 0.35028594309607375, 0.24767271772725508, 0.1420630659424485, 0.00893933462122312, 0.29828832869847804, 0.09004748974425289, 0.10277704747680289, 0.023915433638299313, 0.3385078289832633, 0.05822926365698759, 0.08329758714311399, -0.26563424576866407, 0.03968132216519175, 0.04095946472639648] |
712.2171 | Scattering of massive W bosons into gravitinos and tree unitarity in
broken supergravity | The WW scattering into gravitino and gaugino is here investigated in the
broken phase, by using both gauge and mass eigenstates. Differently from what
is obtained for unbroken gauge symmetry, we find in the scattering amplitudes
new structures, which can lead to violation of unitarity above a certain scale.
This happens because, in the annihilation diagram, the longitudinal degrees of
freedom in the propagator of the gauge bosons disappear from the amplitude, by
virtue of the SUGRA vertex. We show that the longitudinal polarizations of the
on-shell W become strongly interacting in the high energy limit, and that the
inclusion of diagrams with off-shell scalars of the MSSM does not cancel the
divergences.
| hep-ph astro-ph.CO hep-th | the ww scattering into gravitino and gaugino is here investigated in the broken phase by using both gauge and mass eigenstates differently from what is obtained for unbroken gauge symmetry we find in the scattering amplitudes new structures which can lead to violation of unitarity above a certain scale this happens because in the annihilation diagram the longitudinal degrees of freedom in the propagator of the gauge bosons disappear from the amplitude by virtue of the sugra vertex we show that the longitudinal polarizations of the onshell w become strongly interacting in the high energy limit and that the inclusion of diagrams with offshell scalars of the mssm does not cancel the divergences | [['the', 'ww', 'scattering', 'into', 'gravitino', 'and', 'gaugino', 'is', 'here', 'investigated', 'in', 'the', 'broken', 'phase', 'by', 'using', 'both', 'gauge', 'and', 'mass', 'eigenstates', 'differently', 'from', 'what', 'is', 'obtained', 'for', 'unbroken', 'gauge', 'symmetry', 'we', 'find', 'in', 'the', 'scattering', 'amplitudes', 'new', 'structures', 'which', 'can', 'lead', 'to', 'violation', 'of', 'unitarity', 'above', 'a', 'certain', 'scale', 'this', 'happens', 'because', 'in', 'the', 'annihilation', 'diagram', 'the', 'longitudinal', 'degrees', 'of', 'freedom', 'in', 'the', 'propagator', 'of', 'the', 'gauge', 'bosons', 'disappear', 'from', 'the', 'amplitude', 'by', 'virtue', 'of', 'the', 'sugra', 'vertex', 'we', 'show', 'that', 'the', 'longitudinal', 'polarizations', 'of', 'the', 'onshell', 'w', 'become', 'strongly', 'interacting', 'in', 'the', 'high', 'energy', 'limit', 'and', 'that', 'the', 'inclusion', 'of', 'diagrams', 'with', 'offshell', 'scalars', 'of', 'the', 'mssm', 'does', 'not', 'cancel', 'the', 'divergences']] | [-0.1476755162012821, 0.32384184708373737, -0.08440288327700268, 0.12006555582227729, -0.07088928897164565, -0.11461309699415831, 0.03340681274503931, 0.33071068954546895, -0.21442507896407514, -0.2517039066806963, 0.021970878267636013, -0.27100138621305864, -0.09046881465834722, 0.07763014366207398, 0.019856296413767655, 0.02369069584966761, 0.029710862686676262, 0.028567603764544546, -0.08775563195731029, -0.23490575734789657, 0.335309196370695, -0.012942845600376944, 0.25158800898878053, 0.09586679167526288, 0.06952640027182787, 0.08062272085148874, -0.005391886280602322, -0.036173813518927955, -0.07234251003290539, 0.046523613665681494, 0.19401309133375444, 0.04301255158420685, 0.0836736506625878, -0.3782871893434002, -0.15845379100049295, 0.110608761862283, 0.22069192373614133, 0.13733395185441075, -0.013126204606244522, -0.30513543807860233, 0.01760871795859122, -0.15621327565142276, -0.13795651856344193, -0.0657066033114638, -0.0450436868086721, -0.11698358701706855, -0.2669671106201687, 0.1202189320517061, -0.0018413784641739541, 0.0053954676156286645, 0.0018419669941067696, -0.11172557086889855, -0.13151672148697935, 0.033332847532676124, 0.1635002199749965, 0.004687562646690459, 0.12208241157614125, -0.25808052679284815, -0.10335391674569883, 0.41167407855185456, -0.07559248134370201, -0.19376791907326046, 0.15093270363698227, -0.19829510210856663, -0.15876907980959631, 0.17898707526974975, 0.1293030886888191, 0.08010936793830015, -0.16792467324706042, 0.21961734010848274, 0.0032055297108218735, 0.1341954642088787, 0.10402759652897979, 0.08390719805374346, 0.2388327353164158, 0.07797620011765542, 0.03136452306391655, 0.11775699158949135, -0.03691268908436847, -0.09159893533153113, -0.42216042373164564, -0.11233952896982695, -0.1105160860208778, 0.062443337347734496, -0.09962164366628616, -0.1333577437614775, 0.3869560298353302, 0.1542862646774424, 0.23328012070877155, 0.03595392450389444, 0.24704131674417087, 0.15119874938926867, 0.14707712632546252, 0.04183099212421648, 0.33557568052866027, 0.1391279325054019, 0.07450943114442042, -0.2980485878497428, -0.07388539051233206, 0.07981052784150285] |
712.2172 | Integration on valuation fields over local fields | We present elements of a theory of translation-invariant integration,
measure, and harmonic analysis on a valuation field with local field as residue
field. This extends the work of Fesenko. Applications to zeta integrals for
two-dimensional local fields are then considered.
| math.NT math.AG | we present elements of a theory of translationinvariant integration measure and harmonic analysis on a valuation field with local field as residue field this extends the work of fesenko applications to zeta integrals for twodimensional local fields are then considered | [['we', 'present', 'elements', 'of', 'a', 'theory', 'of', 'translationinvariant', 'integration', 'measure', 'and', 'harmonic', 'analysis', 'on', 'a', 'valuation', 'field', 'with', 'local', 'field', 'as', 'residue', 'field', 'this', 'extends', 'the', 'work', 'of', 'fesenko', 'applications', 'to', 'zeta', 'integrals', 'for', 'twodimensional', 'local', 'fields', 'are', 'then', 'considered']] | [-0.18294181058881803, 0.04458524279762059, -0.1176846407353878, 0.03557358021789696, -0.06563824201002717, -0.06604242904577404, -0.002041162466048263, 0.3533393934834749, -0.2658392646233551, -0.20300369430333376, 0.07703375288983808, -0.20803800215944648, -0.15781520088203252, 0.2114673068979755, -0.022553571639582513, 0.009943110926542431, -0.029239597241394223, 0.08045065817423165, -0.0505994611303322, -0.2696329378057271, 0.38048788720043375, -0.0025341812055557967, 0.19530926735606044, 0.05237414869479835, 0.08227789532393218, 0.08639748411951587, -0.04899699883535504, 0.07898299297085032, -0.1487983494764194, 0.188146031787619, 0.2337668461725116, 0.0397852938156575, 0.28656957438215613, -0.3925919536501169, -0.260350478743203, 0.09525142626371234, 0.08934302969137206, 0.07435924634337425, -0.07007678274821956, -0.25447106996434743, 0.07904075732221827, -0.14882248747162521, -0.16836941074579953, -0.14547500263433905, 0.050800531808636154, 0.09950456303195096, -0.34229393405839803, 0.058309449977241454, 0.04377740851195995, 0.19186809642706065, -0.11191580282757059, -0.10651649464853108, 0.054644012916833164, 0.06797060002572834, 0.06021268318290822, 0.09435146242612973, 0.15827995581785217, -0.1394870731222909, -0.14351871964754537, 0.3464286748319864, -0.13223705672717187, -0.19510949949035422, 0.15554137334693224, -0.1544510951032862, -0.12854475249769165, 0.08714467091485859, 0.1594780605752021, 0.18902019644156098, -0.1253001432167366, 0.20593588888732484, -0.04424826824106276, 0.09332581317285076, 0.055282810109201816, 0.03400430269539356, 0.18309730438049882, 0.05073185986839235, 0.07828092896379531, 0.13426881755003706, -0.05425837587681599, -0.14209973118267955, -0.3446481994353235, -0.260095219197683, -0.18450496656587348, 0.10043212512100581, -0.02630959707275906, -0.23766065735835581, 0.45090254177339373, 0.14928628162015228, 0.15403489840246037, 0.08982417231891304, 0.250601575919427, 0.1469073013140587, 0.08977152493607718, -0.006942094344412908, 0.12861136393621564, 0.24880348527804017, 0.05852686261059716, -0.10848621756886132, -0.11286602298496291, 0.1266919397865422] |
712.2173 | Calabi-Yau crystals in topological string theory | This thesis is concerned with a realisation of topological theories in terms
of statistical models known as Calabi-Yau crystals. The thesis starts with an
introduction and review of topological field and string theories. Subsequently
several new results are presented. The main focus of the thesis is on the
topological string theory. In this case crystal models correspond to
three-dimensional partitions and their relations with the topological vertex
theory and knot invariants are studied. Two-dimensional crystal models
corresponding to topological gauge theories on ALE spaces are also introduced
and analysed. Essential mathematical tools are summarised in appendices.
| hep-th | this thesis is concerned with a realisation of topological theories in terms of statistical models known as calabiyau crystals the thesis starts with an introduction and review of topological field and string theories subsequently several new results are presented the main focus of the thesis is on the topological string theory in this case crystal models correspond to threedimensional partitions and their relations with the topological vertex theory and knot invariants are studied twodimensional crystal models corresponding to topological gauge theories on ale spaces are also introduced and analysed essential mathematical tools are summarised in appendices | [['this', 'thesis', 'is', 'concerned', 'with', 'a', 'realisation', 'of', 'topological', 'theories', 'in', 'terms', 'of', 'statistical', 'models', 'known', 'as', 'calabiyau', 'crystals', 'the', 'thesis', 'starts', 'with', 'an', 'introduction', 'and', 'review', 'of', 'topological', 'field', 'and', 'string', 'theories', 'subsequently', 'several', 'new', 'results', 'are', 'presented', 'the', 'main', 'focus', 'of', 'the', 'thesis', 'is', 'on', 'the', 'topological', 'string', 'theory', 'in', 'this', 'case', 'crystal', 'models', 'correspond', 'to', 'threedimensional', 'partitions', 'and', 'their', 'relations', 'with', 'the', 'topological', 'vertex', 'theory', 'and', 'knot', 'invariants', 'are', 'studied', 'twodimensional', 'crystal', 'models', 'corresponding', 'to', 'topological', 'gauge', 'theories', 'on', 'ale', 'spaces', 'are', 'also', 'introduced', 'and', 'analysed', 'essential', 'mathematical', 'tools', 'are', 'summarised', 'in', 'appendices']] | [-0.12367481846983235, 0.17236972583259558, -0.07097757322480902, 0.09332236488504957, -0.07310562349448446, -0.15227199324969357, -0.04031263313421126, 0.3312431780407981, -0.21083085826830938, -0.28228927503611584, 0.09856455863458298, -0.2804926241078647, -0.20598771130122864, 0.1565081846783869, -0.11048821879376192, 0.05651097960071638, -0.009399527169686431, 0.035646037062785275, -0.0833320587153139, -0.30506994195942144, 0.38106027178097673, 0.00401714884598429, 0.28850786419934593, 0.04584403391830468, 0.0456510914179186, -0.024432719298905187, -0.0827884881097513, 0.04882288615529736, -0.220276446188412, 0.16563236643075166, 0.2774773874992131, 0.04443173914720925, 0.14508281322196126, -0.46141862640312564, -0.20900760030417587, 0.01448786642504274, 0.12497543460146214, 0.12717139010783285, -0.03106220883637434, -0.298140910587487, 0.09835289026765774, -0.15320823308138642, -0.11324569171241212, -0.08082884824640739, -0.013619134303250272, -0.012911600798058013, -0.1118966687451272, -0.0194556584080298, 0.0471202217352887, 0.13099164149995582, -0.05723453460965781, -0.10185337496902018, -0.05494303460485147, 0.0632834274341197, 0.0842149481807913, 0.06226542333509618, 0.0505636531743221, -0.18277210255958684, -0.21247263805707917, 0.41675620407477254, 0.008372998655734895, -0.20880176031641895, 0.19832058954125387, -0.08196266910939205, -0.20038053875274878, 0.05761781785016259, 0.13117368487170702, 0.14996444313631704, -0.11697485341574065, 0.1874750274358424, -0.018347688102342847, 0.10709926007257309, 0.009084536791002998, 0.07607178836284827, 0.2490191932520247, 0.14117063750745729, -0.018482476019319922, 0.1688980830682946, 0.023600604821695015, -0.13835727900914208, -0.40739862792543136, -0.1757103223450637, -0.13560866603802424, 0.028252527677977923, -0.04286825468125244, -0.19439973817012893, 0.42031811259221286, 0.11240799368776304, 0.12918958354202914, 0.04263313029271861, 0.19663086689979536, 0.09011185273872495, 0.009998241865711558, -0.01748097246309044, 0.17294952821490975, 0.23991899010919346, 0.07643675725557841, -0.11863844964439825, -0.059462446913433574, 0.18794831433236445] |
712.2174 | Anyons and lowest Landau level Anyons | A review on the Anyon model and the lowest Landau level Anyon model is
presented.
| cond-mat.stat-mech cond-mat.mes-hall | a review on the anyon model and the lowest landau level anyon model is presented | [['a', 'review', 'on', 'the', 'anyon', 'model', 'and', 'the', 'lowest', 'landau', 'level', 'anyon', 'model', 'is', 'presented']] | [-0.09339780770242215, 0.2487166713923216, -0.0220936369150877, 0.13824200733409572, -0.023795354614655175, -0.22711866308624545, 0.10923802653948465, 0.26657448572417103, -0.1403314906482895, -0.30430860395232834, 0.0020457305014133453, -0.2576076400776704, -0.1804743436475595, 0.08531167069450021, 0.02251422464226683, -0.02062877851227919, 0.020468783875306446, 0.09217343839506308, 0.00582102220505476, -0.30368665531277655, 0.31080147611598175, 0.09538427566488585, 0.3936347449819247, 0.06628124229609966, 0.17125869989395143, -0.04992073532193899, -0.0018988249202569326, -0.09957818115750948, -0.21359047510971627, 0.0843328220769763, 0.18344596549868583, -0.08431443835919102, 0.1739625056584676, -0.36627799284954865, -0.21973955325471858, -0.05804978609085083, 0.10775558277964592, 0.20835276295741398, 0.0346365687980627, -0.24844948227206867, 0.012147248350083828, -0.31398480037848153, -0.08993715258936087, -0.08494501200815043, -0.061263376474380495, -0.09145899253586928, -0.14237718631823856, 0.08766531584163507, 0.11032980357607206, 0.07582194084922472, -0.11394811235368252, -0.19611733394364517, -0.10355105859537919, 0.05855314653987686, -0.06319265741234024, 0.01486413687816821, 0.10856311147411664, -0.26663885079324245, -0.12964850639303524, 0.46651484767595924, -0.08458479419350624, -0.27471349239349363, 0.20460628767808278, -0.14265650069961947, -0.1470366054524978, 0.03042062222957611, 0.06576304485400518, -0.012765280902385712, -0.10772157665342093, 0.1784157244449792, -0.07085287868976593, 0.1577680764098962, -0.06513058319687844, -0.020442897578080495, 0.28491382201512655, 0.20797720464567343, -0.04695825005571048, 0.13814919119079908, -0.07352139321155846, -0.17151561385641495, -0.3849397301673889, -0.15433839758237203, -0.21305624321103095, -0.04182687867432833, 0.0684900775871938, -0.17989605938394865, 0.54557177623113, 0.201162376254797, 0.1852581982811292, 0.0009257346391677856, 0.24061735570430756, 0.24041611856470504, -0.038844949441651504, -0.004802016944934925, 0.12482191122447452, 0.13021812178194522, -0.015316549533357223, -0.20960872573778033, -0.07771680702765783, 0.21045023165643215] |
712.2175 | Integration on product spaces and GL_n of a valuation field over a local
field | We present elements of a theory of translation-invariant integration on
finite dimensional vector spaces and on GL_n over a valuation field with local
field as residue field. We then discuss the case of an arbitrary algebraic
group. This extends the work of Fesenko.
| math.NT math.AG | we present elements of a theory of translationinvariant integration on finite dimensional vector spaces and on gl_n over a valuation field with local field as residue field we then discuss the case of an arbitrary algebraic group this extends the work of fesenko | [['we', 'present', 'elements', 'of', 'a', 'theory', 'of', 'translationinvariant', 'integration', 'on', 'finite', 'dimensional', 'vector', 'spaces', 'and', 'on', 'gl_n', 'over', 'a', 'valuation', 'field', 'with', 'local', 'field', 'as', 'residue', 'field', 'we', 'then', 'discuss', 'the', 'case', 'of', 'an', 'arbitrary', 'algebraic', 'group', 'this', 'extends', 'the', 'work', 'of', 'fesenko']] | [-0.1801211037889643, 0.0665118401835613, -0.10012480131415434, 0.008544106694306572, -0.08190570559439271, -0.04911350309415612, -0.003327464931211326, 0.348942159783355, -0.28701307077697197, -0.16656670262387327, 0.08559752634704806, -0.17618179903907139, -0.13821446599958595, 0.19477612605361744, -0.08219867507212383, -0.049774466201576384, -0.051967522605907084, 0.15522841905611892, -0.11979011276217047, -0.3212936008565648, 0.4511139250880237, -0.02574046257190233, 0.21061790710704964, 0.03542797016196473, 0.15236890859642002, 0.1385590941645205, -0.026351376631578733, 0.06597492435600522, -0.12538331567288138, 0.17555092571866374, 0.2627077136015476, 0.04562958663459434, 0.26899215171850005, -0.40514917740988177, -0.22087189353742573, 0.1408172292028402, 0.11243398327293784, 0.10256908134405696, -0.06612464375144174, -0.27866575499823276, 0.10060091160757598, -0.21428492240781008, -0.13864243983529334, -0.09495080212607633, 0.031326239297794566, 0.02802373174859514, -0.29560940556747967, -0.026683955085138943, 0.06576095850661744, 0.22016315136191456, -0.14609254526277615, -0.10528663866124441, 0.05213893035989861, 0.03512451743577109, 0.014296956809757407, 0.08452817628723244, 0.10271371023859395, -0.09636099746692411, -0.15018861178785217, 0.34779457418724546, -0.1261468028303149, -0.21221716018112072, 0.1336918519809842, -0.14901496129933484, -0.1191823810209022, 0.07791661111594633, 0.17797662954517576, 0.1760446327023728, -0.011135557644762272, 0.2697950645423018, -0.11906462530930374, 0.08430409566824172, 0.020913746337904486, 0.013371670596994633, 0.13206469029361426, 0.0888506408217688, 0.08988621689075994, 0.13209743059218623, -0.03483366268838561, -0.11701745416855353, -0.38252961895493576, -0.24142431284755814, -0.13021211476650002, 0.13325913099918602, -0.10622581626189775, -0.21288804070980744, 0.45504618163198923, 0.12814986588146407, 0.17139538944574334, 0.1295494992979044, 0.23704042513096749, 0.09551105258152495, 0.052471589037152225, 0.03426599022282591, 0.08340704731296661, 0.25659951190789076, -0.0015657030311304815, -0.1442203832638645, -0.0915155446503398, 0.14105360035589615] |
712.2176 | Multi-angle effects in collective supernova neutrino oscillations | We study two-flavor collective neutrino oscillations in the dense-neutrino
region above the neutrino sphere in a supernova (SN). The angular dependence of
the neutrino-neutrino interaction potential causes "multi-angle" effects that
can lead either to complete kinematical decoherence in flavor space or only to
small differences between different trajectories. This nonlinear system
switches abruptly between "self-maintained coherence" and "self-induced
decoherence" among the angular modes, depending on the strength of the
deleptonization flux. For a realistic SN the quasi single-angle behavior is
probably typical, simplifying the numerical treatment and probably allowing for
the survival of observational features of flavor oscillations.
| hep-ph | we study twoflavor collective neutrino oscillations in the denseneutrino region above the neutrino sphere in a supernova sn the angular dependence of the neutrinoneutrino interaction potential causes multiangle effects that can lead either to complete kinematical decoherence in flavor space or only to small differences between different trajectories this nonlinear system switches abruptly between selfmaintained coherence and selfinduced decoherence among the angular modes depending on the strength of the deleptonization flux for a realistic sn the quasi singleangle behavior is probably typical simplifying the numerical treatment and probably allowing for the survival of observational features of flavor oscillations | [['we', 'study', 'twoflavor', 'collective', 'neutrino', 'oscillations', 'in', 'the', 'denseneutrino', 'region', 'above', 'the', 'neutrino', 'sphere', 'in', 'a', 'supernova', 'sn', 'the', 'angular', 'dependence', 'of', 'the', 'neutrinoneutrino', 'interaction', 'potential', 'causes', 'multiangle', 'effects', 'that', 'can', 'lead', 'either', 'to', 'complete', 'kinematical', 'decoherence', 'in', 'flavor', 'space', 'or', 'only', 'to', 'small', 'differences', 'between', 'different', 'trajectories', 'this', 'nonlinear', 'system', 'switches', 'abruptly', 'between', 'selfmaintained', 'coherence', 'and', 'selfinduced', 'decoherence', 'among', 'the', 'angular', 'modes', 'depending', 'on', 'the', 'strength', 'of', 'the', 'deleptonization', 'flux', 'for', 'a', 'realistic', 'sn', 'the', 'quasi', 'singleangle', 'behavior', 'is', 'probably', 'typical', 'simplifying', 'the', 'numerical', 'treatment', 'and', 'probably', 'allowing', 'for', 'the', 'survival', 'of', 'observational', 'features', 'of', 'flavor', 'oscillations']] | [-0.15224839747902386, 0.23535268798432485, -0.060467910328024656, 0.15476078908339294, -0.08810584697093131, -0.09755383877615843, 0.08606548045704863, 0.34376053299222675, -0.21515912875267013, -0.2656195400596349, 0.02579565564935495, -0.2744828866585633, -0.05885437530303868, 0.176031910678923, 0.02744094100608538, -0.021926842753452306, 0.07527950922340838, -0.02089633912617835, -0.12756267756613313, -0.17454629370524566, 0.32538062707064863, 0.06865034911458437, 0.26873201846052436, 0.053281743758909254, 0.06438481370200955, -0.033605670211931726, -0.012364575715393436, -0.04059361877748137, -0.09768620869259134, -0.04230477076917127, 0.1721843002503322, 0.0836005439715726, 0.17770562501510187, -0.449636768559184, -0.24179827347777935, 0.14878166572675489, 0.18579493399604927, 0.14158130935108176, -0.018664004257404988, -0.3060308264815534, -0.024168745315234576, -0.1639420048877768, -0.14620904939852616, -0.0227096351908938, 0.024857064595027845, 0.006581603478146147, -0.28187214480522943, 0.15126105798028258, 0.0332896896680741, 0.03809482832106629, -0.037990941965420334, -0.07646357919189281, -0.03199399108238214, 0.08084647778103281, 0.11379507605262025, -0.03355176632568164, 0.14540204325006628, -0.13710643663498745, -0.02103923844192557, 0.4023938022211802, -0.027943529846735905, -0.13480960497898714, 0.17157268581189672, -0.2160548675301656, -0.07567844184932812, 0.1592140610220519, 0.18015942841825283, 0.03897454162046304, -0.13663835019557452, 0.017357206112249012, 0.014740475230109023, 0.14532096235423672, 0.06076707792639428, 0.09094739583065811, 0.25748810407762623, 0.19530380376595624, 0.04014558288059673, 0.04353158408300761, -0.15375642878792192, -0.08987615009465692, -0.3290921232653592, -0.04104067579063834, -0.10137240236092891, 0.09345866697935426, -0.12216851000682384, -0.15144852870999245, 0.42757141767354795, 0.11090841026957698, 0.1842642217795531, -0.053437725317721466, 0.28066074072706454, 0.06656709415077859, 0.05341005568601647, 0.035537978845686484, 0.309120402224742, 0.14357231253263902, 0.1158195577647385, -0.39644899725799965, 0.04795340254750787, 0.026738361845135082] |
712.2177 | Fubini's theorem and non-linear change of variables over a
two-dimensional local field | We consider non-linear changes of variables and Fubini's theorem for certain
integrals over a two-dimensional local field. An interesting example is
presented in which imperfectness of a finite characteristic local field causes
Fubini's theorem to unexpectedly fail. The relationship to ramification theory
is discussed.
| math.NT math.AG | we consider nonlinear changes of variables and fubinis theorem for certain integrals over a twodimensional local field an interesting example is presented in which imperfectness of a finite characteristic local field causes fubinis theorem to unexpectedly fail the relationship to ramification theory is discussed | [['we', 'consider', 'nonlinear', 'changes', 'of', 'variables', 'and', 'fubinis', 'theorem', 'for', 'certain', 'integrals', 'over', 'a', 'twodimensional', 'local', 'field', 'an', 'interesting', 'example', 'is', 'presented', 'in', 'which', 'imperfectness', 'of', 'a', 'finite', 'characteristic', 'local', 'field', 'causes', 'fubinis', 'theorem', 'to', 'unexpectedly', 'fail', 'the', 'relationship', 'to', 'ramification', 'theory', 'is', 'discussed']] | [-0.2172291812550446, 0.08709220114906202, -0.14503761038014834, 0.14207005859035152, -0.09310261786661365, -0.14932281809689646, 0.019343847866614604, 0.2995973623950373, -0.3313207243653861, -0.2245980647646568, 0.09187871323295192, -0.20040133424018594, -0.197989255359227, 0.21541509521193802, -0.13374467407861215, -0.013260428497398441, -0.029091538438065487, 0.07222897762602026, -0.06758544825028036, -0.2731429002649913, 0.3135137331185185, -0.0230456505775113, 0.24140513252297585, 0.07295880028554662, 0.12298195644027808, 0.09738653894005851, -0.02018119056116451, 0.06032230973836373, -0.1340327036397701, 0.08720952436339179, 0.2960455853661353, 0.033837922383099794, 0.2693100851981647, -0.4015617267313329, -0.18842436206019061, 0.13859922798689117, 0.09460664015601981, 0.09994386313006874, -0.025234095447971908, -0.22473382598466493, 0.0899029370577244, -0.12443328756754371, -0.2244333021173423, -0.09202814821831205, 0.058115987726275554, 0.039869365240023893, -0.2811578589025885, 0.09963087039068341, 0.12069389265326952, 0.1424342137761414, -0.08282567749053917, -0.04931857452770187, 0.01977284337309274, 0.05021918097256937, 0.07086516740805977, 0.02293207663619383, 0.11692978706295518, -0.12725187142760577, -0.10102335044013505, 0.3366642342880368, -0.07120357112249952, -0.1728289830180901, 0.16922388257543472, -0.12054176042279736, -0.1362328132699159, 0.12308615031228824, 0.14325319408354434, 0.11509561801159923, -0.09633535364727405, 0.14353859805454372, -0.08351891192565249, 0.12862400492568585, 0.07431953300891275, 0.02672063286246901, 0.15385652367364278, 0.08052957307716663, 0.09678587613796646, 0.1450527426151728, -0.049475386939858174, -0.1494659706315195, -0.3574268468232317, -0.17556127711114558, -0.12563106701286, 0.09746397481384603, -0.10820643019575403, -0.2243443624201146, 0.403063440695405, 0.1294100220442157, 0.15934250499545174, 0.03054585358900526, 0.20500132801349868, 0.18226656266911465, 0.043395986293696544, 0.0013978188243609939, 0.14311235120773994, 0.2571588929911906, 0.06766952259667133, -0.16431250751272522, -0.011259692170741882, 0.11653656756441871] |
712.2178 | Entropy Fluctuations in Brane Inflation Models | We study the development of entropy fluctuations in brane inflation in a
warped throat, including the brane-antibrane tachyon as the waterfall field. We
find that there is a period at the end of inflation during which the entropy
mode associated with the tachyon field increases exponentially. In turn, the
induced entropy seeds a contribution to the curvature fluctuation on
cosmological scales which grows rapidly and could exceed the primordial
curvature perturbation. We identify parameter values for which in the absence
of back-reaction the induced curvature fluctuations are larger than the
primordial adiabatic ones. In the specific model we study, however,
back-reaction limits the growth of the entropy fluctuations. We discuss
situations in which back-reaction effects are less constraining. The lesson of
our investigation is that the study of the development of entropy fluctuations
at the end of the period of inflation can lead to constraints on models of
brane inflation and suggests that the curvaton mechanism may contribute
significantly to the spectrum of cosmological perturbations.
| hep-th astro-ph gr-qc hep-ph | we study the development of entropy fluctuations in brane inflation in a warped throat including the braneantibrane tachyon as the waterfall field we find that there is a period at the end of inflation during which the entropy mode associated with the tachyon field increases exponentially in turn the induced entropy seeds a contribution to the curvature fluctuation on cosmological scales which grows rapidly and could exceed the primordial curvature perturbation we identify parameter values for which in the absence of backreaction the induced curvature fluctuations are larger than the primordial adiabatic ones in the specific model we study however backreaction limits the growth of the entropy fluctuations we discuss situations in which backreaction effects are less constraining the lesson of our investigation is that the study of the development of entropy fluctuations at the end of the period of inflation can lead to constraints on models of brane inflation and suggests that the curvaton mechanism may contribute significantly to the spectrum of cosmological perturbations | [['we', 'study', 'the', 'development', 'of', 'entropy', 'fluctuations', 'in', 'brane', 'inflation', 'in', 'a', 'warped', 'throat', 'including', 'the', 'braneantibrane', 'tachyon', 'as', 'the', 'waterfall', 'field', 'we', 'find', 'that', 'there', 'is', 'a', 'period', 'at', 'the', 'end', 'of', 'inflation', 'during', 'which', 'the', 'entropy', 'mode', 'associated', 'with', 'the', 'tachyon', 'field', 'increases', 'exponentially', 'in', 'turn', 'the', 'induced', 'entropy', 'seeds', 'a', 'contribution', 'to', 'the', 'curvature', 'fluctuation', 'on', 'cosmological', 'scales', 'which', 'grows', 'rapidly', 'and', 'could', 'exceed', 'the', 'primordial', 'curvature', 'perturbation', 'we', 'identify', 'parameter', 'values', 'for', 'which', 'in', 'the', 'absence', 'of', 'backreaction', 'the', 'induced', 'curvature', 'fluctuations', 'are', 'larger', 'than', 'the', 'primordial', 'adiabatic', 'ones', 'in', 'the', 'specific', 'model', 'we', 'study', 'however', 'backreaction', 'limits', 'the', 'growth', 'of', 'the', 'entropy', 'fluctuations', 'we', 'discuss', 'situations', 'in', 'which', 'backreaction', 'effects', 'are', 'less', 'constraining', 'the', 'lesson', 'of', 'our', 'investigation', 'is', 'that', 'the', 'study', 'of', 'the', 'development', 'of', 'entropy', 'fluctuations', 'at', 'the', 'end', 'of', 'the', 'period', 'of', 'inflation', 'can', 'lead', 'to', 'constraints', 'on', 'models', 'of', 'brane', 'inflation', 'and', 'suggests', 'that', 'the', 'curvaton', 'mechanism', 'may', 'contribute', 'significantly', 'to', 'the', 'spectrum', 'of', 'cosmological', 'perturbations']] | [-0.19002678342107118, 0.2250312032530818, -0.12171072211455215, 0.12211171338532233, -0.05431804571752295, -0.0813824433212479, -0.0345185239460658, 0.24482829787232208, -0.22021022550761699, -0.26854316673495554, 0.11031719622286883, -0.28404335806456704, -0.10773576413154264, 0.165493397469717, -0.04021141785902507, -0.02384761816453344, 0.019135644623417068, 0.06098260314796459, -0.02993406776345871, -0.25648939566418644, 0.36868839070878245, 0.12905889286123443, 0.2637433066625487, 0.05582502958449451, 0.01519123562752749, -0.09789306174286387, -0.009055712417290179, 0.025894064207871756, -0.19044354844086092, 0.07413269581103867, 0.1409537075283438, 0.11619831808616943, 0.2473248882049864, -0.4361010266072822, -0.2793818873099305, 0.16321123503712995, 0.15679728169784402, 0.17820470074022357, -0.029512792014319337, -0.2260297418995337, 0.06589072938147707, -0.158564147542259, -0.10870761253842802, -0.04523208003604051, 0.012738192667055762, -0.07037945373978635, -0.25927554649357315, 0.12469836375534986, 0.0347083113974694, -0.013850761463188312, -0.0821058908364538, -0.04892208446099451, -0.08128861745847671, 0.04337443010599324, 0.18537072939022134, 0.02695984088491197, 0.21163336934070243, -0.190427307987755, -0.05668632098134946, 0.3448638207448477, -0.1622941075165396, -0.12919699675967974, 0.09960510271855376, -0.18196144658846386, -0.13635888373510996, 0.0948326676575975, 0.17296808206786712, 0.11606073278764432, -0.07403481368709243, 0.12410813773149681, 0.10190339615060524, 0.1573859210662318, 0.0849696852944114, 0.06436497720071312, 0.31480241571411943, 0.11876372705270169, 0.05303273447083704, 0.17537396751118428, -0.07109676985048943, -0.15271719406838669, -0.3744083027581148, -0.12340686088992339, -0.1447898603077964, 0.0721172207656006, -0.15556335273943137, -0.2001876531726201, 0.424866016468767, 0.18319348265552737, 0.22074924553321165, 0.04368874360383911, 0.24715917534900433, 0.09459557492942126, 0.07977089534996952, 0.0742832225860294, 0.32819174532073014, 0.09832275775120114, 0.11797400721433488, -0.2736130506040133, 0.013615595444924, 0.026431715338857787] |
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