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710.2253 | McKay's correspondence for cocompact discrete subgroups of SU(1,1) | The classical McKay correspondence establishes an explicit link from the
representation theory of a finite subgroup G of SU(2) and the geometry of the
minimal resolution of the quotient of the affine plane by G. In this paper we
discuss a possible generalization of the McKay correspondence to the case when
G is replaced with a cocompact discrete subgroup of the universal cover of
SU(1,1) such that its image in PSU(1,1) is a cocompact fuchsian group with
quotient of genus 0. We establish a correspondence between a certain class of
finite-dimensional unitary representations of G and vector bundles on an open
algebraic surface with the trivial canonical class canonically associated to G.
| math.AG math.GT | the classical mckay correspondence establishes an explicit link from the representation theory of a finite subgroup g of su2 and the geometry of the minimal resolution of the quotient of the affine plane by g in this paper we discuss a possible generalization of the mckay correspondence to the case when g is replaced with a cocompact discrete subgroup of the universal cover of su11 such that its image in psu11 is a cocompact fuchsian group with quotient of genus 0 we establish a correspondence between a certain class of finitedimensional unitary representations of g and vector bundles on an open algebraic surface with the trivial canonical class canonically associated to g | [['the', 'classical', 'mckay', 'correspondence', 'establishes', 'an', 'explicit', 'link', 'from', 'the', 'representation', 'theory', 'of', 'a', 'finite', 'subgroup', 'g', 'of', 'su2', 'and', 'the', 'geometry', 'of', 'the', 'minimal', 'resolution', 'of', 'the', 'quotient', 'of', 'the', 'affine', 'plane', 'by', 'g', 'in', 'this', 'paper', 'we', 'discuss', 'a', 'possible', 'generalization', 'of', 'the', 'mckay', 'correspondence', 'to', 'the', 'case', 'when', 'g', 'is', 'replaced', 'with', 'a', 'cocompact', 'discrete', 'subgroup', 'of', 'the', 'universal', 'cover', 'of', 'su11', 'such', 'that', 'its', 'image', 'in', 'psu11', 'is', 'a', 'cocompact', 'fuchsian', 'group', 'with', 'quotient', 'of', 'genus', '0', 'we', 'establish', 'a', 'correspondence', 'between', 'a', 'certain', 'class', 'of', 'finitedimensional', 'unitary', 'representations', 'of', 'g', 'and', 'vector', 'bundles', 'on', 'an', 'open', 'algebraic', 'surface', 'with', 'the', 'trivial', 'canonical', 'class', 'canonically', 'associated', 'to', 'g']] | [-0.19283335916614824, 0.0729514585106829, -0.10577635040135647, 0.026143009837791657, -0.1357313427184376, -0.12422446717391722, 0.039663759536259544, 0.35326930312190336, -0.34794519691994147, -0.22962234066134052, 0.07829311273755073, -0.22495042671965035, -0.16002400766592473, 0.1902971218015799, -0.1839573363499117, -0.009989380387976001, 0.04833116099117823, 0.1561718359090654, -0.14683970913600725, -0.2264777588924127, 0.3913226700180011, -0.058926362822863405, 0.23952792915224563, 0.021581683540716767, 0.14895131291372568, 0.019708414541258077, -0.00691811291783649, -0.037969358901526515, -0.12972988804676788, 0.14279065370127292, 0.3142311497857528, 0.03675710021967201, 0.19252967786451336, -0.34996209410434986, -0.18467151304607146, 0.21678902626237168, 0.09846865909639746, -0.006603430158325604, -0.014171573388531604, -0.3018212862807559, 0.08248488944069063, -0.1758464542092822, -0.16697886943334847, -0.012562150545168802, 0.06916960817761719, -0.05561145102793879, -0.19729277266222717, 0.016457154349024807, 0.10785807946064908, 0.1392173806927011, -0.021994623240191555, -0.03816543481973765, -0.08880925297437768, 0.08542362307369851, -0.020193183416267857, 0.1013940385476287, 0.032175765181559006, -0.15030346604388406, -0.1062710624371123, 0.4032272049225867, -0.0719105667418002, -0.226330781438654, 0.13784645332322856, -0.14515167732939258, -0.1750381785719323, 0.098130934364495, 0.08602933661105842, 0.1507261391587755, -0.00039225228686388746, 0.22705293538352375, -0.1665133869433443, 0.050300321331763244, 0.05525879692452561, -0.03126199565096093, 0.14106828204863373, 0.11029955391755461, 0.07316516373871959, 0.18672984187391453, 0.015160651998615191, -0.0004884669080118849, -0.4157374450005591, -0.1930140014348061, -0.1417990332982819, 0.1573690126907812, -0.14680803360092146, -0.17445966487658943, 0.40855568575872375, 0.024421724558903537, 0.1777507159443173, 0.12308320694137365, 0.1807314563359666, 0.07887067144370771, 0.020654180037256862, 0.0689261840224, 0.10080063097744382, 0.28908904149804066, -0.14503304580076865, -0.21518379259318213, -0.09078322833894552, 0.225278731641343] |
710.2254 | Adding inverses to diagrams II: Invertible homotopy theories are spaces | In previous work, we showed that there are appropriate model category
structures on the category of simplicial categories and on the category of
Segal precategories, and that they are Quillen equivalent to one another and to
Rezk's complete Segal space model structure on the category of simplicial
spaces. Here, we show that these results still hold if we instead use groupoid
or "invertible" cases. Namely, we show that model structures on the categories
of simplicial groupoids, Segal pregroupoids, and invertible simplicial spaces
are all Quillen equivalent to one another and to the standard model structure
on the category of spaces. We prove this result using two different approaches
to invertible complete Segal spaces and Segal groupoids.
| math.AT math.CT | in previous work we showed that there are appropriate model category structures on the category of simplicial categories and on the category of segal precategories and that they are quillen equivalent to one another and to rezks complete segal space model structure on the category of simplicial spaces here we show that these results still hold if we instead use groupoid or invertible cases namely we show that model structures on the categories of simplicial groupoids segal pregroupoids and invertible simplicial spaces are all quillen equivalent to one another and to the standard model structure on the category of spaces we prove this result using two different approaches to invertible complete segal spaces and segal groupoids | [['in', 'previous', 'work', 'we', 'showed', 'that', 'there', 'are', 'appropriate', 'model', 'category', 'structures', 'on', 'the', 'category', 'of', 'simplicial', 'categories', 'and', 'on', 'the', 'category', 'of', 'segal', 'precategories', 'and', 'that', 'they', 'are', 'quillen', 'equivalent', 'to', 'one', 'another', 'and', 'to', 'rezks', 'complete', 'segal', 'space', 'model', 'structure', 'on', 'the', 'category', 'of', 'simplicial', 'spaces', 'here', 'we', 'show', 'that', 'these', 'results', 'still', 'hold', 'if', 'we', 'instead', 'use', 'groupoid', 'or', 'invertible', 'cases', 'namely', 'we', 'show', 'that', 'model', 'structures', 'on', 'the', 'categories', 'of', 'simplicial', 'groupoids', 'segal', 'pregroupoids', 'and', 'invertible', 'simplicial', 'spaces', 'are', 'all', 'quillen', 'equivalent', 'to', 'one', 'another', 'and', 'to', 'the', 'standard', 'model', 'structure', 'on', 'the', 'category', 'of', 'spaces', 'we', 'prove', 'this', 'result', 'using', 'two', 'different', 'approaches', 'to', 'invertible', 'complete', 'segal', 'spaces', 'and', 'segal', 'groupoids']] | [-0.0640928581405174, 0.023213782616698278, -0.04718087443375382, 0.1865684623249951, -0.11326375278917238, -0.12607450161032893, -0.024237169338197542, 0.5004517059644749, -0.3642285937636063, -0.19208407785004838, 0.0738748875677441, -0.22863181547165431, -0.17709229682002153, 0.14472356419970184, -0.2586347643117388, -0.0819134969727923, 0.11526205510318537, 0.08589136995905047, -0.048385423291996445, -0.3178492845397378, 0.5331761516181046, -0.05621501835512704, 0.25296064605534974, 0.032700063584468746, 0.09593627737546019, -0.03573717369601644, 0.007533781720196892, 0.043146120376291196, -0.16004486894661538, 0.15822670641525824, 0.2681845706016435, 0.07386980410303985, 0.15926686709807936, -0.3828144007972602, -0.12323665665462613, 0.1510848891319193, 0.042585946234135794, 0.011022548371893835, 0.03596741904540726, -0.3807900120134883, 0.11653185154086557, -0.17818322374308804, -0.01582761070337789, -0.13543094021814137, 0.06842472567624444, -0.04144971293060045, -0.2350315795699536, -0.07355290673801611, 0.13283973940294877, 0.06352587647190125, -0.14175608632323364, -0.05270539656490216, -0.1054432545025865, 0.1008151898437565, -0.09761923023676179, 0.01629569538033985, 0.12310404094851352, -0.05658140633022413, -0.15216895052360307, 0.37843738284347384, -0.045362652744094296, -0.2286757018481349, 0.20618171081727707, -0.1354251265975422, -0.21678929559581367, 0.08864552392784891, -0.017274002504438675, 0.15314911113216959, 0.0010872062622842476, 0.16177922245295687, -0.1680272369934567, 0.07963168938194626, 0.09842999028603963, 0.023451652876623295, 0.1006326490435107, 0.14020053451029776, 0.049695264623331806, 0.09375566564267501, 0.043204624970555945, -0.08884279221368568, -0.31432156781826553, -0.1862456184322143, -0.03848661451925652, 0.1187927062013026, -0.06777237429095889, -0.20321983136718386, 0.3733917050668769, 0.19144674150498006, 0.17868656233396654, 0.1994896615646651, 0.24890922223105386, -0.0395067118525762, 0.04607789367357076, 0.015589673248729828, 0.15784349453089566, 0.22536629715388448, 0.0047440398283752384, 0.01562124243054282, -0.021492359194310445, 0.28605570012286047] |
710.2255 | A phase-space study of jet formation in planetary-scale fluids | The interaction between planetary waves and an arbitrary zonal flow is
studied from a phase-space viewpoint. Using the Wigner distribution, a
planetary wave Vlasov equation is derived that includes the contribution of the
mean flow to the zonal potential vorticity gradient. This equation is applied
to the problem of planetary wave modulational instability, where it is used to
predict a fastest growing mode of finite wavenumber. A wave-mean flow numerical
model is used to test the analytical predictions, and an intuitive explanation
of modulational instability and jet asymmetry is given via the motion of
planetary wavepackets in phase space.
| physics.flu-dyn physics.ao-ph | the interaction between planetary waves and an arbitrary zonal flow is studied from a phasespace viewpoint using the wigner distribution a planetary wave vlasov equation is derived that includes the contribution of the mean flow to the zonal potential vorticity gradient this equation is applied to the problem of planetary wave modulational instability where it is used to predict a fastest growing mode of finite wavenumber a wavemean flow numerical model is used to test the analytical predictions and an intuitive explanation of modulational instability and jet asymmetry is given via the motion of planetary wavepackets in phase space | [['the', 'interaction', 'between', 'planetary', 'waves', 'and', 'an', 'arbitrary', 'zonal', 'flow', 'is', 'studied', 'from', 'a', 'phasespace', 'viewpoint', 'using', 'the', 'wigner', 'distribution', 'a', 'planetary', 'wave', 'vlasov', 'equation', 'is', 'derived', 'that', 'includes', 'the', 'contribution', 'of', 'the', 'mean', 'flow', 'to', 'the', 'zonal', 'potential', 'vorticity', 'gradient', 'this', 'equation', 'is', 'applied', 'to', 'the', 'problem', 'of', 'planetary', 'wave', 'modulational', 'instability', 'where', 'it', 'is', 'used', 'to', 'predict', 'a', 'fastest', 'growing', 'mode', 'of', 'finite', 'wavenumber', 'a', 'wavemean', 'flow', 'numerical', 'model', 'is', 'used', 'to', 'test', 'the', 'analytical', 'predictions', 'and', 'an', 'intuitive', 'explanation', 'of', 'modulational', 'instability', 'and', 'jet', 'asymmetry', 'is', 'given', 'via', 'the', 'motion', 'of', 'planetary', 'wavepackets', 'in', 'phase', 'space']] | [-0.16370359067852147, 0.1406828428391071, -0.15904957259243185, 0.09461327736392956, -0.14210049095775254, -0.05053002727829447, -0.06635598298820733, 0.28053472067124796, -0.28585175722084866, -0.2170888146366736, 0.044054682153709834, -0.23790664406436862, -0.13503815215363196, 0.19555012955603124, 0.019049894186959723, 0.1137220509764221, 0.05397455034791633, -0.011789090832638922, 0.011444476583615096, -0.14843832847728122, 0.30854786276779694, 0.06146014421811384, 0.2527364832678377, 0.027742833645797965, 0.11511044876856937, -0.04615224116585321, -0.003911306063166579, -0.016079388220495816, -0.1894225113737224, 0.04750280375615929, 0.20754236431917025, 0.09741215343408362, 0.2531561042614883, -0.4283768254699129, -0.2519242116955645, 0.036427830449408956, 0.20765275908916286, 0.14901691023260355, -0.053680794614583555, -0.26879662695820583, 0.03247423652992255, -0.19019461857775846, -0.18580487580744154, -0.016421794928986617, 0.06758903208743743, 0.038152544020740975, -0.33699404392767734, 0.14172009929233806, 0.059376253464230984, 0.07793632461077939, -0.11503457373967677, -0.024080127789262645, -0.08977036886481625, 0.06180619286617847, 0.09065984899173443, 0.08402614568764663, 0.1039750289790464, -0.14455740343581772, -0.04958132550477831, 0.43825738974893935, -0.07843997725520772, -0.23295609875008313, 0.17114237449696343, -0.16866266871849545, 0.009654580239168924, 0.18762922931152085, 0.2032548508729146, 0.09870234097006043, -0.10187075341665985, 0.00028182392895240524, -0.03240584594290468, 0.14695552770269452, 0.07986528727912692, -0.05740146043550486, 0.22008377796208317, 0.1708105860296825, 0.0641615303313228, 0.12622338827379576, -0.1291391844143903, -0.14352672180217324, -0.28443201627544684, -0.1259411625338323, -0.19592931078402373, 0.00019713725531332648, -0.087626820048723, -0.1851770295996708, 0.4154538000802124, 0.13506436662165203, 0.13453917979554395, -0.01959397713418561, 0.32070861397442796, 0.19139107382524703, -0.00021321040512335422, 0.10946196649750375, 0.2963711538380294, 0.22635599217292937, 0.14220747998868577, -0.27349271058725816, 0.06021334750653066, 0.09798762328791047] |
710.2256 | Integral transformation solution of free-space cylindrical vector beams
and prediction of modified-Bessel-Gaussian vector beams | A unified description of the free-space cylindrical vector beams is
presented, which is an integral transformation solution to the vector Helmholtz
equation and the transversality condition. The amplitude 2-form of the angular
spectrum involved in this solution can be arbitrarily chosen. When one of the
two elements is zero, we arrive at either transverse-electric or
transverse-magnetic beam mode. In the paraxial condition, this solution not
only includes the known $J_1$ Bessel-Gaussian vector beam and the axisymmetric
Laguerre-Gaussian vector beam that were obtained by solving the paraxial wave
equations, but also predicts two new kinds of vector beam, called the
modified-Bessel-Gaussian vector beam.
| physics.optics | a unified description of the freespace cylindrical vector beams is presented which is an integral transformation solution to the vector helmholtz equation and the transversality condition the amplitude 2form of the angular spectrum involved in this solution can be arbitrarily chosen when one of the two elements is zero we arrive at either transverseelectric or transversemagnetic beam mode in the paraxial condition this solution not only includes the known j_1 besselgaussian vector beam and the axisymmetric laguerregaussian vector beam that were obtained by solving the paraxial wave equations but also predicts two new kinds of vector beam called the modifiedbesselgaussian vector beam | [['a', 'unified', 'description', 'of', 'the', 'freespace', 'cylindrical', 'vector', 'beams', 'is', 'presented', 'which', 'is', 'an', 'integral', 'transformation', 'solution', 'to', 'the', 'vector', 'helmholtz', 'equation', 'and', 'the', 'transversality', 'condition', 'the', 'amplitude', '2form', 'of', 'the', 'angular', 'spectrum', 'involved', 'in', 'this', 'solution', 'can', 'be', 'arbitrarily', 'chosen', 'when', 'one', 'of', 'the', 'two', 'elements', 'is', 'zero', 'we', 'arrive', 'at', 'either', 'transverseelectric', 'or', 'transversemagnetic', 'beam', 'mode', 'in', 'the', 'paraxial', 'condition', 'this', 'solution', 'not', 'only', 'includes', 'the', 'known', 'j_1', 'besselgaussian', 'vector', 'beam', 'and', 'the', 'axisymmetric', 'laguerregaussian', 'vector', 'beam', 'that', 'were', 'obtained', 'by', 'solving', 'the', 'paraxial', 'wave', 'equations', 'but', 'also', 'predicts', 'two', 'new', 'kinds', 'of', 'vector', 'beam', 'called', 'the', 'modifiedbesselgaussian', 'vector', 'beam']] | [-0.212699381180458, 0.18720334529139604, -0.07580899241112984, 0.049761940214533985, -0.12984095873440257, -0.17242068561752982, -0.05349579104913933, 0.39395408622809863, -0.2813267859095468, -0.21109058135327433, 0.0482339320432321, -0.2522143344625388, -0.06984613429395353, 0.1643964151718128, 0.02904206722234791, 0.10467648441617441, 0.0726840716871977, 0.03340353686270295, -0.052372593229802526, -0.16822929490855573, 0.3516108270845201, 0.018576760241522057, 0.32060367838101517, -0.017736912345384607, 0.17563609510837677, 0.05958430806064222, 0.03326930886706208, -0.05556382687006256, -0.10517413318792582, 0.057779481413193265, 0.20567375619775882, 0.1102797504661992, 0.21215685652937777, -0.41794332148193725, -0.20466813115900992, 0.0620410943249388, 0.16469555663055566, 0.14368758730401313, -0.024242523910090474, -0.263377576199646, 0.059534846288659196, -0.0856565400257264, -0.2359638267823744, -0.06898778474124351, -0.0461917228340909, 0.05150940163190117, -0.3014223131046879, 0.01794631916367291, 0.08624318310769626, 0.033914447199590136, -0.08673739017651297, -0.12403871612807754, -0.04106856177625532, -0.02403395567037451, 0.0623135370488214, 0.0928505756385108, 0.0695353401225466, -0.11766168968360133, -0.049756831189820376, 0.40463044670511883, -0.07074845327285699, -0.31828235363643065, 0.06520732958676607, -0.16977266046117143, 0.012750019794237791, 0.18915151946228181, 0.1541714079281555, 0.1128397573956685, -0.15349550032368653, 0.05407840065026453, -0.0468741505921733, 0.1323444185119196, 0.17124016753554638, 0.0025432690618430623, 0.16157033459495496, 0.06445744757927807, 0.06290902595708867, 0.12156298022030272, -0.08826704476821688, -0.08380854300380049, -0.3593610280958733, -0.13987035993578853, -0.1710280194324741, 0.03910490303671467, -0.05398001370111268, -0.14015059302201366, 0.39651063785399543, 0.04267445338502674, 0.1327832696203253, -0.026954171246627696, 0.33469485967318613, 0.18211014450776694, 0.04155923159202874, 0.06221681333488167, 0.2774331172153649, 0.19258039106965286, 0.1338815724587824, -0.20299412344241202, -0.059472142534312045, 0.09088053196060038] |
710.2257 | Finite Unified Theories confronted with low-energy phenomenology | Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories
that can be made all-loop finite. The requirement of all-loop finiteness leads
to a severe reduction of the free parameters of the theory and, in turn, to a
large number of predictions. Here SU(5) FUTs are investigated in the context of
low-energy phenomenology observables. We present a detailed scanning of these
FUTs, including theoretical uncertainties at the unification scale and applying
all phenomenological constraints. Taking into account the restrictions from the
top and bottom quark masses, we can discriminate between different models.
Including further low-energy constraints such as $B$ physics observables, the
bound on the lightest Higgs boson mass and the cold dark matter density, we
determine the predictions of the allowed parameter space for the Higgs boson
sector and the supersymmetric particle spectrum of the model.
| hep-ph | finite unified theories futs are n1 supersymmetric grand unified theories that can be made allloop finite the requirement of allloop finiteness leads to a severe reduction of the free parameters of the theory and in turn to a large number of predictions here su5 futs are investigated in the context of lowenergy phenomenology observables we present a detailed scanning of these futs including theoretical uncertainties at the unification scale and applying all phenomenological constraints taking into account the restrictions from the top and bottom quark masses we can discriminate between different models including further lowenergy constraints such as b physics observables the bound on the lightest higgs boson mass and the cold dark matter density we determine the predictions of the allowed parameter space for the higgs boson sector and the supersymmetric particle spectrum of the model | [['finite', 'unified', 'theories', 'futs', 'are', 'n1', 'supersymmetric', 'grand', 'unified', 'theories', 'that', 'can', 'be', 'made', 'allloop', 'finite', 'the', 'requirement', 'of', 'allloop', 'finiteness', 'leads', 'to', 'a', 'severe', 'reduction', 'of', 'the', 'free', 'parameters', 'of', 'the', 'theory', 'and', 'in', 'turn', 'to', 'a', 'large', 'number', 'of', 'predictions', 'here', 'su5', 'futs', 'are', 'investigated', 'in', 'the', 'context', 'of', 'lowenergy', 'phenomenology', 'observables', 'we', 'present', 'a', 'detailed', 'scanning', 'of', 'these', 'futs', 'including', 'theoretical', 'uncertainties', 'at', 'the', 'unification', 'scale', 'and', 'applying', 'all', 'phenomenological', 'constraints', 'taking', 'into', 'account', 'the', 'restrictions', 'from', 'the', 'top', 'and', 'bottom', 'quark', 'masses', 'we', 'can', 'discriminate', 'between', 'different', 'models', 'including', 'further', 'lowenergy', 'constraints', 'such', 'as', 'b', 'physics', 'observables', 'the', 'bound', 'on', 'the', 'lightest', 'higgs', 'boson', 'mass', 'and', 'the', 'cold', 'dark', 'matter', 'density', 'we', 'determine', 'the', 'predictions', 'of', 'the', 'allowed', 'parameter', 'space', 'for', 'the', 'higgs', 'boson', 'sector', 'and', 'the', 'supersymmetric', 'particle', 'spectrum', 'of', 'the', 'model']] | [-0.08439018981816777, 0.2383693360798333, -0.09937983452186097, 0.16437654038143418, -0.08592126633713607, -0.14847864225391216, 0.050719000754306895, 0.2717851323507264, -0.1954858334476713, -0.35470890060719784, 0.03919753680569901, -0.2492900149009605, -0.019706200216862844, 0.1357659522306351, 0.01459661647541462, 0.09203730267982413, 0.00937954278622013, -0.0018725498157968052, -0.09946232226024633, -0.2403880850272593, 0.3081405823608439, 0.023925764003537433, 0.23782078447976035, 0.10723555975858748, 0.06138157593018382, 0.0008437092361604646, -0.024168811413038005, -0.015905937761362357, -0.1779020200537141, 0.12068250017702906, 0.18666146452833213, 0.08412064205392869, 0.13291061374725924, -0.4354952601511983, -0.21390522481282206, 0.14284559345403075, 0.13346155604388374, 0.12645846413428058, -0.03884939662347391, -0.29021490566486857, 0.061521000779458206, -0.2256442368384043, -0.10970253132650779, -0.09527891533819782, -0.06619776554242537, -0.08644459806178717, -0.30915001812424975, 0.06265441588649567, -0.05493962538367423, 0.0041042924960599326, -0.03464208189126131, -0.15114429168892604, -0.07629523037195234, 0.05952121843209993, 0.1495110013880801, -0.031082170895414672, 0.15290371691774116, -0.21052449160972678, -0.13351442880357486, 0.42581875989363144, -0.07385912233365387, -0.1723453340759623, 0.1755329898565355, -0.15091289600007318, -0.20904079973561704, 0.07939033507349065, 0.15746809708729495, 0.07583374229351561, -0.15232917926117887, 0.23088384130893166, -0.06343802183706748, 0.13813845017316487, 0.02698270224092569, 0.08048032181351071, 0.3084548972275135, 0.2015930477828875, -0.015607593642262212, 0.04699872438133062, -0.03879163748020456, -0.11926568186685552, -0.4521926725895083, -0.09399740325064351, -0.05288848255159347, 0.02016850982717898, -0.11853352952678432, -0.11534366723027652, 0.4100021708885847, 0.14205853037033095, 0.22975530549136064, 0.05844388387920539, 0.2566377190111654, 0.09739693437692756, 0.07982749645096882, -0.0254493046783074, 0.28358375278716214, 0.16359169852246877, 0.025824008755093563, -0.22012472295297486, -0.07143476518401265, 0.11529715767259417] |
710.2258 | Control of generalized error rates in multiple testing | Consider the problem of testing $s$ hypotheses simultaneously. The usual
approach restricts attention to procedures that control the probability of even
one false rejection, the familywise error rate (FWER). If $s$ is large, one
might be willing to tolerate more than one false rejection, thereby increasing
the ability of the procedure to correctly reject false null hypotheses. One
possibility is to replace control of the FWER by control of the probability of
$k$ or more false rejections, which is called the $k$-FWER. We derive both
single-step and step-down procedures that control the $k$-FWER in finite
samples or asymptotically, depending on the situation. We also consider the
false discovery proportion (FDP) defined as the number of false rejections
divided by the total number of rejections (and defined to be 0 if there are no
rejections). The false discovery rate proposed by Benjamini and Hochberg [J.
Roy. Statist. Soc. Ser. B 57 (1995) 289--300] controls $E(FDP)$. Here, the goal
is to construct methods which satisfy, for a given $\gamma$ and $\alpha$,
$P\{FDP>\gamma\}\le \alpha$, at least asymptotically. In contrast to the
proposals of Lehmann and Romano [Ann. Statist. 33 (2005) 1138--1154], we
construct methods that implicitly take into account the dependence structure of
the individual test statistics in order to further increase the ability to
detect false null hypotheses. This feature is also shared by related work of
van der Laan, Dudoit and Pollard [Stat. Appl. Genet. Mol. Biol. 3 (2004)
article 15], but our methodology is quite different. Like the work of Pollard
and van der Laan [Proc. 2003 International Multi-Conference in Computer Science
and Engineering, METMBS'03 Conference (2003) 3--9] and Dudoit, van der Laan and
Pollard [Stat. Appl. Genet. Mol. Biol. 3 (2004) article 13], we employ
resampling methods to achieve our goals. Some simulations compare finite sample
performance to currently available methods.
| math.ST stat.TH | consider the problem of testing s hypotheses simultaneously the usual approach restricts attention to procedures that control the probability of even one false rejection the familywise error rate fwer if s is large one might be willing to tolerate more than one false rejection thereby increasing the ability of the procedure to correctly reject false null hypotheses one possibility is to replace control of the fwer by control of the probability of k or more false rejections which is called the kfwer we derive both singlestep and stepdown procedures that control the kfwer in finite samples or asymptotically depending on the situation we also consider the false discovery proportion fdp defined as the number of false rejections divided by the total number of rejections and defined to be 0 if there are no rejections the false discovery rate proposed by benjamini and hochberg j roy statist soc ser b 57 1995 289300 controls efdp here the goal is to construct methods which satisfy for a given gamma and alpha pfdpgammale alpha at least asymptotically in contrast to the proposals of lehmann and romano ann statist 33 2005 11381154 we construct methods that implicitly take into account the dependence structure of the individual test statistics in order to further increase the ability to detect false null hypotheses this feature is also shared by related work of van der laan dudoit and pollard stat appl genet mol biol 3 2004 article 15 but our methodology is quite different like the work of pollard and van der laan proc 2003 international multiconference in computer science and engineering metmbs03 conference 2003 39 and dudoit van der laan and pollard stat appl genet mol biol 3 2004 article 13 we employ resampling methods to achieve our goals some simulations compare finite sample performance to currently available methods | [['consider', 'the', 'problem', 'of', 'testing', 's', 'hypotheses', 'simultaneously', 'the', 'usual', 'approach', 'restricts', 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710.2259 | Sub-THz electrodynamics of the graphene-like superconductor CaAlSi | We report the first optical study of CaAlSi, a superconductor which displays
both the crystal structure of MgB2 and the electronic band structure of
intercalated graphites. The reflectivity of a CaAlSi single crystal was
measured down to sub-THz frequencies and to 3.3 K, with the use of Coherent
Synchrotron Radiation. A superconducting gap in the hexagonal planes, two gaps
along the c axis were found and measured, as expected from the structure of the
CaAlSi Fermi surface. The anisotropic optical parameters of the normal state
were also determined.
| cond-mat.supr-con cond-mat.str-el | we report the first optical study of caalsi a superconductor which displays both the crystal structure of mgb2 and the electronic band structure of intercalated graphites the reflectivity of a caalsi single crystal was measured down to subthz frequencies and to 33 k with the use of coherent synchrotron radiation a superconducting gap in the hexagonal planes two gaps along the c axis were found and measured as expected from the structure of the caalsi fermi surface the anisotropic optical parameters of the normal state were also determined | [['we', 'report', 'the', 'first', 'optical', 'study', 'of', 'caalsi', 'a', 'superconductor', 'which', 'displays', 'both', 'the', 'crystal', 'structure', 'of', 'mgb2', 'and', 'the', 'electronic', 'band', 'structure', 'of', 'intercalated', 'graphites', 'the', 'reflectivity', 'of', 'a', 'caalsi', 'single', 'crystal', 'was', 'measured', 'down', 'to', 'subthz', 'frequencies', 'and', 'to', '33', 'k', 'with', 'the', 'use', 'of', 'coherent', 'synchrotron', 'radiation', 'a', 'superconducting', 'gap', 'in', 'the', 'hexagonal', 'planes', 'two', 'gaps', 'along', 'the', 'c', 'axis', 'were', 'found', 'and', 'measured', 'as', 'expected', 'from', 'the', 'structure', 'of', 'the', 'caalsi', 'fermi', 'surface', 'the', 'anisotropic', 'optical', 'parameters', 'of', 'the', 'normal', 'state', 'were', 'also', 'determined']] | [-0.15734320392154835, 0.17141934952153612, -0.047467162493955, -0.022861433297459207, -0.04842418056531725, -0.09963995692140254, 0.10969448050441728, 0.4559636303562332, -0.26975125081794843, -0.30693434026430955, 0.016816147665270943, -0.3156805920668624, -0.06792172107485715, 0.18489371793640946, 0.08861567452020774, 0.03690642040138217, -0.029977832169441335, -0.03149144838310101, -0.13809858964205804, -0.15927407164814544, 0.28706070708788256, 0.05591589729705116, 0.34471905332016334, 0.03633107941343703, 0.03895043670093979, -0.0185567696144889, 0.06751063610003753, 0.011763843411410397, -0.14419343923906458, 0.09983432379720564, 0.2321567810987207, -0.11255637682254681, 0.13349548061325384, -0.4118233095346527, -0.193297833209561, -0.018546267910013823, 0.08247154557433202, 0.10337926608653189, -0.017955070720001295, -0.2430650729855353, 0.04324504468505355, -0.10234057640826161, -0.14594692034138876, -0.004518899045995733, -0.03692694725892083, 0.005894346234113486, -0.1559469987822178, 0.05630971322766114, 0.0235025863380129, 0.1082410402807661, -0.1299072691101835, -0.14487516997509042, -0.11392212375622793, 0.05543223172108727, 0.0016801497391001744, 0.037703735079214144, 0.14444541085123835, -0.09236943137048828, -0.09233543011148206, 0.39843026747588406, -0.0738169832951495, 0.001504397616703169, 0.1170175624164668, -0.22127397045154462, -0.04329569412353025, 0.20902049446224488, 0.10597780767949933, 0.07016912464645099, -0.12688914754041683, 0.0556825019812095, -0.04012113352390853, 0.2093285281973129, 0.09731770075053316, 0.06611385132154365, 0.22714724390640517, 0.1833719604791523, -0.0468880080152303, 0.17742381720877762, -0.2147427566219862, 0.05316387638661333, -0.21528603561984544, -0.19072381809449077, -0.18715601748871533, 0.048546784425112, -0.03995427128343594, -0.21421190989415415, 0.43071570013522764, 0.0408658616123086, 0.2134859695691954, -0.07343254032391335, 0.21155899187380617, 0.05430653754658785, 0.09341874679111326, 0.05051623714495112, 0.3038233477960933, 0.18002403153381732, 0.11028286173347045, -0.29154005253803916, 0.05341242367020724, -0.04788981853264638] |
710.226 | Nonisospectral integrable nonlinear equations with external potentials
and their GBDT solutions | Auxiliary systems for matrix nonisospectral equations, including coupled NLS
with external potential and KdV with variable coefficients, were introduced.
Explicit solutions of nonisospectral equations were constructed using the GBDT
version of the B\"acklund-Darboux transformation.
| nlin.SI | auxiliary systems for matrix nonisospectral equations including coupled nls with external potential and kdv with variable coefficients were introduced explicit solutions of nonisospectral equations were constructed using the gbdt version of the backlunddarboux transformation | [['auxiliary', 'systems', 'for', 'matrix', 'nonisospectral', 'equations', 'including', 'coupled', 'nls', 'with', 'external', 'potential', 'and', 'kdv', 'with', 'variable', 'coefficients', 'were', 'introduced', 'explicit', 'solutions', 'of', 'nonisospectral', 'equations', 'were', 'constructed', 'using', 'the', 'gbdt', 'version', 'of', 'the', 'backlunddarboux', 'transformation']] | [-0.1204552416525343, 0.05328889681464609, -0.01900432666982798, 0.02452600100899444, -0.14256949991206913, -0.25246871536707177, -0.10849579018266763, 0.291902082890053, -0.2716713157646796, -0.2726983659188537, 0.17592647233430078, -0.3219847088159226, -0.20704376807107644, 0.14439641777426004, 0.011659723158706637, 0.21299434814821272, 0.08499477502396878, -0.011851764229290625, -0.13785185026662314, -0.30096108894041906, 0.3814663639949525, -0.048226028324707466, 0.19057105978786507, -0.11664820013239104, 0.2574808409656672, 0.07196350512094796, -0.07345710449290517, -0.06190036119454924, -0.10634699035161997, 0.0580154746729771, 0.1898926085285733, 0.008092645062681507, 0.16696887442787342, -0.442929329987451, -0.24048892697593308, 0.07033324589514557, 0.14628358045592904, 0.15508697532555638, -0.053091172156307626, -0.3870679541107486, -0.02098053044584744, -0.1424129717051983, -0.2479899388683193, -0.1510914858252577, -0.003800609532524558, 0.19024587663657525, -0.30985765816534266, 0.15995610477297947, 0.0020003002273904927, 0.03675248259541524, -0.17265785003409667, -0.12640514522311552, -0.09756945906316533, -0.02038813357734505, 0.0013340963461600682, -0.05976049482877202, -0.003581727087935981, -0.10002183614243917, -0.09038541738546509, 0.35612641077707796, -0.12003012298031107, -0.37764693511759534, 0.12587141250054734, 0.06519383634440601, -0.14441929732942405, 0.08865387252915431, 0.16061733872629702, 0.10345318104030893, -0.22716665626777446, 0.1700401849589338, -0.02146494750152616, 0.15016698853715377, 0.18381650932133198, -0.0326273451997515, 0.04984721212702639, 0.05071953895008739, -0.03927630081991939, 0.1903677874189966, 0.0949250446522937, -0.20386986494721734, -0.2685466964783914, -0.09648771342985771, -0.050535806036992544, 0.086326456601348, -0.13578521263030674, -0.16182661464656978, 0.363944574355093, 0.07583972787046257, 0.0859489265267792, 0.03808737945441595, 0.14999784795594784, 0.29223424875560927, 0.08158406686476048, 0.0410056357162402, 0.15012577562319004, 0.27609659075353515, 0.1688720346428454, -0.24629874081138575, -0.09360327815417857, 0.30988584584830436] |
710.2261 | Comparison of work fluctuation relations | We compare two predictions regarding the microscopic fluctuations of a system
that is driven away from equilibrium: one due to Crooks [J. Stat. Phys. 90,
1481 (1998)] which has gained recent attention in the context of nonequilibrium
work and fluctuation theorems, and an earlier, analogous result obtained by
Bochkov and Kuzovlev [Zh. Eksp. Teor. Fiz. 72(1), 238247 (1977)]. Both results
quantify irreversible behavior by comparing probabilities of observing
particular microscopic trajectories during thermodynamic processes related by
time-reversal, and both are expressed in terms of the work performed when
driving the system away from equilibrium. By deriving these two predictions
within a single, Hamiltonian framework, we clarify the precise relationship
between them, and discuss how the different definitions of work used by the two
sets of authors gives rise to different physical interpretations. We then
obtain a extended fluctuation relation that contains both the Crooks and the
Bochkov-Kuzovlev results as special cases.
| cond-mat.stat-mech | we compare two predictions regarding the microscopic fluctuations of a system that is driven away from equilibrium one due to crooks j stat phys 90 1481 1998 which has gained recent attention in the context of nonequilibrium work and fluctuation theorems and an earlier analogous result obtained by bochkov and kuzovlev zh eksp teor fiz 721 238247 1977 both results quantify irreversible behavior by comparing probabilities of observing particular microscopic trajectories during thermodynamic processes related by timereversal and both are expressed in terms of the work performed when driving the system away from equilibrium by deriving these two predictions within a single hamiltonian framework we clarify the precise relationship between them and discuss how the different definitions of work used by the two sets of authors gives rise to different physical interpretations we then obtain a extended fluctuation relation that contains both the crooks and the bochkovkuzovlev results as special cases | [['we', 'compare', 'two', 'predictions', 'regarding', 'the', 'microscopic', 'fluctuations', 'of', 'a', 'system', 'that', 'is', 'driven', 'away', 'from', 'equilibrium', 'one', 'due', 'to', 'crooks', 'j', 'stat', 'phys', '90', '1481', '1998', 'which', 'has', 'gained', 'recent', 'attention', 'in', 'the', 'context', 'of', 'nonequilibrium', 'work', 'and', 'fluctuation', 'theorems', 'and', 'an', 'earlier', 'analogous', 'result', 'obtained', 'by', 'bochkov', 'and', 'kuzovlev', 'zh', 'eksp', 'teor', 'fiz', '721', '238247', '1977', 'both', 'results', 'quantify', 'irreversible', 'behavior', 'by', 'comparing', 'probabilities', 'of', 'observing', 'particular', 'microscopic', 'trajectories', 'during', 'thermodynamic', 'processes', 'related', 'by', 'timereversal', 'and', 'both', 'are', 'expressed', 'in', 'terms', 'of', 'the', 'work', 'performed', 'when', 'driving', 'the', 'system', 'away', 'from', 'equilibrium', 'by', 'deriving', 'these', 'two', 'predictions', 'within', 'a', 'single', 'hamiltonian', 'framework', 'we', 'clarify', 'the', 'precise', 'relationship', 'between', 'them', 'and', 'discuss', 'how', 'the', 'different', 'definitions', 'of', 'work', 'used', 'by', 'the', 'two', 'sets', 'of', 'authors', 'gives', 'rise', 'to', 'different', 'physical', 'interpretations', 'we', 'then', 'obtain', 'a', 'extended', 'fluctuation', 'relation', 'that', 'contains', 'both', 'the', 'crooks', 'and', 'the', 'bochkovkuzovlev', 'results', 'as', 'special', 'cases']] | [-0.08186522086239043, 0.11350213531202187, -0.1113144813193562, 0.0785332806162596, -0.007824319580764938, -0.12975920738992155, 0.0886477110545604, 0.28970540428181757, -0.22118784104335448, -0.3230573997763615, 0.0492906943765922, -0.29327104938675874, -0.14320742335749437, 0.21789104312758995, -0.0647263916907832, 0.028671087851319964, 0.030202031909563654, -0.028503832278294942, -0.06684703328303569, -0.19894947252720846, 0.28992835106721426, 0.05487003706622164, 0.28547772459903686, 0.05751900804052885, 0.06275322701588487, 0.03704703610069496, -0.0754208291142965, 0.027636321663558682, -0.20864389366456512, 0.09607586699751886, 0.2139881228053914, 0.08362490398104529, 0.24215663138877702, -0.41362292373653603, -0.18480012091380116, 0.06816568021502069, 0.1030195903495533, 0.09653321134061804, 0.01783099165815558, -0.3154228168690728, 0.04044621438731918, -0.18792153945243037, -0.10839496607690849, -0.07800544818038926, 0.055269826990174686, 0.01870193543711778, -0.22364479743850393, 0.12116521219345364, 0.11507840930308039, 0.06254796279166397, -0.0607574036835718, -0.11975919075996137, -0.049551949145687696, 0.12377081841574132, 0.0660660322928625, 0.040722138529196636, 0.12694747097525946, -0.0809344429177833, -0.15422468089397895, 0.34170471730868557, -0.052446234321561515, -0.13847677377595352, 0.21756464826270333, -0.12818562927832072, -0.1481082893788462, 0.0694031146885135, 0.10748394437109095, 0.08003572678835308, -0.22185510888939952, 0.0746980916710281, -0.03396196393264659, 0.09426918379471612, 0.09705856665685722, 0.021434313441450532, 0.1988724957635576, 0.08115540811716504, -0.038386478951685385, 0.1461182810410203, -0.040609038990451894, -0.1773019569227472, -0.2975928841120991, -0.11481258443736068, -0.14001478034549872, 0.07426413983685544, -0.04213181023294817, -0.04646244479118724, 0.3683179695807347, 0.18671914925043648, 0.22060285029442026, 0.04728255580522347, 0.22552293917554356, 0.12436157547022417, -0.04295515489128947, 0.06613684459463567, 0.2754313497508347, 0.19269440335857152, 0.12273318538240888, -0.20128643618758163, 0.056815784032034966, 0.0669543495043055] |
710.2262 | A Method for Weak Lensing Flexion Analysis by the HOLICs Moment Approach | We have developed a method for measuring higher-order weak lensing
distortions of faint background galaxies, namely the weak gravitational
flexion, by fully extending the Kaiser, Squires & Broadhurst method to include
higher-order lensing image characteristics (HOLICs) introduced by Okura,
Umetsu, & Futamase. We take into account explicitly the weight function in
calculations of noisy shape moments and the effect of higher-order PSF
anisotropy, as well as isotropic PSF smearing. Our HOLICs formalism allows
accurate measurements of flexion from practical observational data in the
presence of non-circular, anisotropic PSF. We test our method using mock
observations of simulated galaxy images and actual, ground-based
Subaru observations of the massive galaxy cluster A1689 ($z=0.183$). From the
high-precision measurements of spin-1 first flexion, we obtain a
high-resolution mass map in the central region of A1689. The reconstructed mass
map shows a bimodal feature in the central $4'\times 4'$ region of the cluster.
The major, pronounced peak is associated with the brightest cluster galaxy and
central cluster members, while the secondary mass peak is associated with a
local concentration of bright galaxies. The refined, high-resolution mass map
of A1689 demonstrates the power of the generalized weak lensing analysis
techniques for quantitative and accurate measurements of the weak gravitational
lensing signal.
| astro-ph | we have developed a method for measuring higherorder weak lensing distortions of faint background galaxies namely the weak gravitational flexion by fully extending the kaiser squires broadhurst method to include higherorder lensing image characteristics holics introduced by okura umetsu futamase we take into account explicitly the weight function in calculations of noisy shape moments and the effect of higherorder psf anisotropy as well as isotropic psf smearing our holics formalism allows accurate measurements of flexion from practical observational data in the presence of noncircular anisotropic psf we test our method using mock observations of simulated galaxy images and actual groundbased subaru observations of the massive galaxy cluster a1689 z0183 from the highprecision measurements of spin1 first flexion we obtain a highresolution mass map in the central region of a1689 the reconstructed mass map shows a bimodal feature in the central 4times 4 region of the cluster the major pronounced peak is associated with the brightest cluster galaxy and central cluster members while the secondary mass peak is associated with a local concentration of bright galaxies the refined highresolution mass map of a1689 demonstrates the power of the generalized weak lensing analysis techniques for quantitative and accurate measurements of the weak gravitational lensing signal | [['we', 'have', 'developed', 'a', 'method', 'for', 'measuring', 'higherorder', 'weak', 'lensing', 'distortions', 'of', 'faint', 'background', 'galaxies', 'namely', 'the', 'weak', 'gravitational', 'flexion', 'by', 'fully', 'extending', 'the', 'kaiser', 'squires', 'broadhurst', 'method', 'to', 'include', 'higherorder', 'lensing', 'image', 'characteristics', 'holics', 'introduced', 'by', 'okura', 'umetsu', 'futamase', 'we', 'take', 'into', 'account', 'explicitly', 'the', 'weight', 'function', 'in', 'calculations', 'of', 'noisy', 'shape', 'moments', 'and', 'the', 'effect', 'of', 'higherorder', 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710.2263 | Efficient Stochastic Simulations of Complex Reaction Networks on
Surfaces | Surfaces serve as highly efficient catalysts for a vast variety of chemical
reactions. Typically, such surface reactions involve billions of molecules
which diffuse and react over macroscopic areas. Therefore, stochastic
fluctuations are negligible and the reaction rates can be evaluated using rate
equations, which are based on the mean-field approximation. However, in case
that the surface is partitioned into a large number of disconnected microscopic
domains, the number of reactants in each domain becomes small and it strongly
fluctuates. This is, in fact, the situation in the interstellar medium, where
some crucial reactions take place on the surfaces of microscopic dust grains.
In this case rate equations fail and the simulation of surface reactions
requires stochastic methods such as the master equation. However, in the case
of complex reaction networks, the master equation becomes infeasible because
the number of equations proliferates exponentially. To solve this problem, we
introduce a stochastic method based on moment equations. In this method the
number of equations is dramatically reduced to just one equation for each
reactive species and one equation for each reaction. Moreover, the equations
can be easily constructed using a diagrammatic approach. We demonstrate the
method for a set of astrophysically relevant networks of increasing complexity.
It is expected to be applicable in many other contexts in which problems that
exhibit analogous structure appear, such as surface catalysis in nanoscale
systems, aerosol chemistry in stratospheric clouds and genetic networks in
cells.
| cond-mat.stat-mech | surfaces serve as highly efficient catalysts for a vast variety of chemical reactions typically such surface reactions involve billions of molecules which diffuse and react over macroscopic areas therefore stochastic fluctuations are negligible and the reaction rates can be evaluated using rate equations which are based on the meanfield approximation however in case that the surface is partitioned into a large number of disconnected microscopic domains the number of reactants in each domain becomes small and it strongly fluctuates this is in fact the situation in the interstellar medium where some crucial reactions take place on the surfaces of microscopic dust grains in this case rate equations fail and the simulation of surface reactions requires stochastic methods such as the master equation however in the case of complex reaction networks the master equation becomes infeasible because the number of equations proliferates exponentially to solve this problem we introduce a stochastic method based on moment equations in this method the number of equations is dramatically reduced to just one equation for each reactive species and one equation for each reaction moreover the equations can be easily constructed using a diagrammatic approach we demonstrate the method for a set of astrophysically relevant networks of increasing complexity it is expected to be applicable in many other contexts in which problems that exhibit analogous structure appear such as surface catalysis in nanoscale systems aerosol chemistry in stratospheric clouds and genetic networks in cells | [['surfaces', 'serve', 'as', 'highly', 'efficient', 'catalysts', 'for', 'a', 'vast', 'variety', 'of', 'chemical', 'reactions', 'typically', 'such', 'surface', 'reactions', 'involve', 'billions', 'of', 'molecules', 'which', 'diffuse', 'and', 'react', 'over', 'macroscopic', 'areas', 'therefore', 'stochastic', 'fluctuations', 'are', 'negligible', 'and', 'the', 'reaction', 'rates', 'can', 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710.2264 | Evaluation of the Multiplane Method for Efficient Simulations of
Reaction Networks | Reaction networks in the bulk and on surfaces are widespread in physical,
chemical and biological systems. In macroscopic systems, which include large
populations of reactive species, stochastic fluctuations are negligible and the
reaction rates can be evaluated using rate equations. However, many physical
systems are partitioned into microscopic domains, where the number of molecules
in each domain is small and fluctuations are strong. Under these conditions,
the simulation of reaction networks requires stochastic methods such as direct
integration of the master equation. However, direct integration of the master
equation is infeasible for complex networks, because the number of equations
proliferates as the number of reactive species increases. Recently, the
multiplane method, which provides a dramatic reduction in the number of
equations, was introduced [A. Lipshtat and O. Biham, Phys. Rev. Lett. 93,
170601 (2004)]. The reduction is achieved by breaking the network into a set of
maximal fully connected sub-networks (maximal cliques). Lower-dimensional
master equations are constructed for the marginal probability distributions
associated with the cliques, with suitable couplings between them. In this
paper we test the multiplane method and examine its applicability. We show that
the method is accurate in the limit of small domains, where fluctuations are
strong. It thus provides an efficient framework for the stochastic simulation
of complex reaction networks with strong fluctuations, for which rate equations
fail and direct integration of the master equation is infeasible. The method
also applies in the case of large domains, where it converges to the rate
equation results.
| cond-mat.stat-mech cond-mat.other | reaction networks in the bulk and on surfaces are widespread in physical chemical and biological systems in macroscopic systems which include large populations of reactive species stochastic fluctuations are negligible and the reaction rates can be evaluated using rate equations however many physical systems are partitioned into microscopic domains where the number of molecules in each domain is small and fluctuations are strong under these conditions the simulation of reaction networks requires stochastic methods such as direct integration of the master equation however direct integration of the master equation is infeasible for complex networks because the number of equations proliferates as the number of reactive species increases recently the multiplane method which provides a dramatic reduction in the number of equations was introduced a lipshtat and o biham phys rev lett 93 170601 2004 the reduction is achieved by breaking the network into a set of maximal fully connected subnetworks maximal cliques lowerdimensional master equations are constructed for the marginal probability distributions associated with the cliques with suitable couplings between them in this paper we test the multiplane method and examine its applicability we show that the method is accurate in the limit of small domains where fluctuations are strong it thus provides an efficient framework for the stochastic simulation of complex reaction networks with strong fluctuations for which rate equations fail and direct integration of the master equation is infeasible the method also applies in the case of large domains where it converges to the rate equation results | [['reaction', 'networks', 'in', 'the', 'bulk', 'and', 'on', 'surfaces', 'are', 'widespread', 'in', 'physical', 'chemical', 'and', 'biological', 'systems', 'in', 'macroscopic', 'systems', 'which', 'include', 'large', 'populations', 'of', 'reactive', 'species', 'stochastic', 'fluctuations', 'are', 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'applies', 'in', 'the', 'case', 'of', 'large', 'domains', 'where', 'it', 'converges', 'to', 'the', 'rate', 'equation', 'results']] | [-0.14327518804742384, 0.08123876499966202, -0.022871310065496683, 0.024039690878482595, -0.02968492798015265, -0.10404968577166719, 0.031003910528529705, 0.3144703259083232, -0.25435462576757756, -0.2939916956050682, 0.062217097441222696, -0.26435663852645386, -0.16437002660747949, 0.21856140349465872, -0.03840621453644182, 0.0739802439890017, 0.0822964818320132, -0.007190686094784929, -0.01443303143183115, -0.24843476122459246, 0.30073697608520067, 0.027567816522693443, 0.29663615490238543, 0.05012286820466773, 0.12749660255823045, -0.027623549428573178, -0.008267364304159738, 0.031493297640296194, -0.10232867734359916, 0.09988079474480342, 0.24558463014170318, 0.1169515383043026, 0.2727734375174247, -0.46483445111962574, -0.2440687873505897, 0.12062811346784715, 0.13626570323345555, 0.1575516518397865, -0.0031643567143023136, -0.2798382559445717, 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710.2265 | Controlling spatiotemporal chaos and spiral turbulence in excitable
media: A review | Excitable media are a generic class of models used to simulate a wide variety
of natural systems including cardiac tissue. Propagation of excitation waves in
this medium results in the formation of characteristic patterns such as
rotating spiral waves. Instabilities in these structures may lead to
spatiotemporal chaos through spiral turbulence, which has been linked to
clinically diagnosed conditions such as cardiac fibrillation. Usual methods for
controlling such phenomena involve very large amplitude perturbations and have
several drawbacks. There have been several recent attempts to develop
low-amplitude control procedures for spatiotemporal chaos in excitable media
which are reviewed in this paper. The control schemes have been broadly
classified by us into three types: (i) global, (ii) non-global
spatially-extended and (iii) local, depending on the way the control signal is
applied, and we discuss the merits and drawbacks for each.
| nlin.CD q-bio.TO | excitable media are a generic class of models used to simulate a wide variety of natural systems including cardiac tissue propagation of excitation waves in this medium results in the formation of characteristic patterns such as rotating spiral waves instabilities in these structures may lead to spatiotemporal chaos through spiral turbulence which has been linked to clinically diagnosed conditions such as cardiac fibrillation usual methods for controlling such phenomena involve very large amplitude perturbations and have several drawbacks there have been several recent attempts to develop lowamplitude control procedures for spatiotemporal chaos in excitable media which are reviewed in this paper the control schemes have been broadly classified by us into three types i global ii nonglobal spatiallyextended and iii local depending on the way the control signal is applied and we discuss the merits and drawbacks for each | [['excitable', 'media', 'are', 'a', 'generic', 'class', 'of', 'models', 'used', 'to', 'simulate', 'a', 'wide', 'variety', 'of', 'natural', 'systems', 'including', 'cardiac', 'tissue', 'propagation', 'of', 'excitation', 'waves', 'in', 'this', 'medium', 'results', 'in', 'the', 'formation', 'of', 'characteristic', 'patterns', 'such', 'as', 'rotating', 'spiral', 'waves', 'instabilities', 'in', 'these', 'structures', 'may', 'lead', 'to', 'spatiotemporal', 'chaos', 'through', 'spiral', 'turbulence', 'which', 'has', 'been', 'linked', 'to', 'clinically', 'diagnosed', 'conditions', 'such', 'as', 'cardiac', 'fibrillation', 'usual', 'methods', 'for', 'controlling', 'such', 'phenomena', 'involve', 'very', 'large', 'amplitude', 'perturbations', 'and', 'have', 'several', 'drawbacks', 'there', 'have', 'been', 'several', 'recent', 'attempts', 'to', 'develop', 'lowamplitude', 'control', 'procedures', 'for', 'spatiotemporal', 'chaos', 'in', 'excitable', 'media', 'which', 'are', 'reviewed', 'in', 'this', 'paper', 'the', 'control', 'schemes', 'have', 'been', 'broadly', 'classified', 'by', 'us', 'into', 'three', 'types', 'i', 'global', 'ii', 'nonglobal', 'spatiallyextended', 'and', 'iii', 'local', 'depending', 'on', 'the', 'way', 'the', 'control', 'signal', 'is', 'applied', 'and', 'we', 'discuss', 'the', 'merits', 'and', 'drawbacks', 'for', 'each']] | [-0.1159041170968855, 0.10191519990255185, -0.06269473527564848, 0.07536488421941377, -0.0778852922778255, -0.12597679699563402, -0.05159352460068738, 0.3847569949429134, -0.2697998717320051, -0.25222051980496524, 0.13233755810208042, -0.22228766176782602, -0.20864417253015227, 0.23469910956249176, -0.04135043419589349, 0.0886645110266655, -0.0019902662196524925, -0.04054804288668277, -0.0017975140932491786, -0.20018051460254668, 0.30153382573906573, -0.03313635721159496, 0.29210380619230997, -0.015071217020095841, 0.07887785109899027, -0.0733606217516144, -0.0443602314104976, 0.03970185708147373, -0.1262638288643881, 0.0466302841359066, 0.3206360179664437, 0.13134271691539895, 0.3086061464193806, -0.500911665892751, -0.3299030203492843, 0.10385156311630774, 0.20077106763990663, 0.1625570308839192, -0.0630847296850059, -0.2997323533473201, 0.08894142862945366, -0.1582370561282921, -0.1325825085535163, -0.10871019910203575, 0.048041522605076645, 0.09457672946825088, -0.2526381834202426, 0.08656916174394406, 0.03378836208244236, 0.10915206263525237, -0.05271945265959278, -0.05185168444199099, 0.016246701439963186, 0.13039701983078028, 0.06334508221140868, -0.020665295399464132, 0.13691099433951992, -0.14076535821316108, -0.14390676320537174, 0.38772826854863185, -0.019383286978553634, -0.18687416112432323, 0.29271769678394355, -0.10261061499561117, -0.14669552483351353, 0.1571080557543034, 0.22431420973207292, 0.06805424974802479, -0.1531571958150393, -0.01676172835638465, 0.007644870492676608, 0.11258502743582127, 0.09470727906073276, 0.07776939229731508, 0.21206774934791298, 0.18130089326848764, 0.007785822421466436, 0.0808147307361389, -0.10709970655537833, -0.0834657126977343, -0.2328949204893957, -0.08090595759136482, -0.05782762710541058, -6.976556669411471e-05, -0.04876297666388061, -0.18384824849986772, 0.4559332924834687, 0.16116484812805898, 0.17716797995766317, -0.0468805179874272, 0.24706427407913284, 0.0783831814501649, 0.08762561240762794, 0.042472903688753144, 0.24919331452320162, 0.12835232136107766, 0.12087308488478013, -0.20643213842559954, 0.10713477176195346, 0.02189774981451978] |
710.2266 | Bihermitian metrics on Hopf surfaces | Inspired by a construction due to Hitchin, we produce strongly bihermitian
metrics on certain Hopf complex surfaces, which integrate the locally
conformally Kaehler metrics found by Gauduchon and Ornea. We also show that the
Inoue complex surfaces with zero second Betti number do not admit bihermitian
metrics. This completes the classification of the compact complex surfaces
admitting strongly bihermitian metrics.
| math.DG math-ph math.MP | inspired by a construction due to hitchin we produce strongly bihermitian metrics on certain hopf complex surfaces which integrate the locally conformally kaehler metrics found by gauduchon and ornea we also show that the inoue complex surfaces with zero second betti number do not admit bihermitian metrics this completes the classification of the compact complex surfaces admitting strongly bihermitian metrics | [['inspired', 'by', 'a', 'construction', 'due', 'to', 'hitchin', 'we', 'produce', 'strongly', 'bihermitian', 'metrics', 'on', 'certain', 'hopf', 'complex', 'surfaces', 'which', 'integrate', 'the', 'locally', 'conformally', 'kaehler', 'metrics', 'found', 'by', 'gauduchon', 'and', 'ornea', 'we', 'also', 'show', 'that', 'the', 'inoue', 'complex', 'surfaces', 'with', 'zero', 'second', 'betti', 'number', 'do', 'not', 'admit', 'bihermitian', 'metrics', 'this', 'completes', 'the', 'classification', 'of', 'the', 'compact', 'complex', 'surfaces', 'admitting', 'strongly', 'bihermitian', 'metrics']] | [-0.21835241081813972, 0.08404001640155911, -0.035716314272334175, 0.10537092209754823, -0.18486233617489536, -0.19112707630265505, -0.0975759752560407, 0.37523408493337534, -0.18869868790109953, -0.22431067892660697, 0.08222659740907451, -0.23220979881783327, -0.3030724725996455, 0.22361022952827625, -0.20791092260430258, -0.008272916451096535, 0.09071729156809548, 0.06237803598244985, -0.1346667226520367, -0.37910634961444883, 0.56088873843352, -0.0038746101781725883, 0.2699405048469392, 0.12354578467396399, 0.10325362942724799, -0.04226119420491159, -0.04921381501480937, 0.03804444470442832, -0.19187558494413678, 0.14983964875961345, 0.29468238606738545, 0.039877728147742646, 0.07483625778307518, -0.34794309648374716, -0.22744582970481134, 0.21335188430578758, 0.0638642659294419, 0.009313290215019757, -0.008001242742951338, -0.32142116012983024, 0.08158236955447744, -0.0779900684642295, -0.1719502842053771, -0.19019303121604025, -0.028257824336954705, 0.016226475841055313, -0.08349178069038317, -0.01720055185384505, 0.12479963862958053, 0.04349631095925967, -0.08240119380255541, -0.02479839529066036, -0.1707617300717781, 0.02423198117564122, -0.0228912441059947, 0.07093020567360024, 0.11810248297794411, -0.05090838129787396, -0.1442057930942004, 0.34022062897371746, -0.09048092571708063, -0.36034910635401807, 0.1697440786306591, -0.1346295987488702, -0.16915486065360408, 0.187710602224494, 0.13077034500893206, 0.2287888220278546, -0.03546768006247779, 0.16145481055039757, -0.033182590190942086, 0.08030847337407371, 0.12106862138025462, -0.06933172921805332, 0.1557560468907468, 0.05889414035094281, 0.1196367436593088, 0.07045651373142997, 0.048566648973307265, -0.048386259939676775, -0.3043979930691421, -0.20248014980121903, -0.06618790694822868, 0.21759061571622926, -0.11121854835631287, -0.288350402424112, 0.4119712806462, -0.04864700972102583, 0.2190333908268561, 0.1525612094614189, 0.18904925087699667, -0.04573871310567483, 0.07474481261645755, 0.14100498432914416, 0.20728457178920506, 0.1863391281493629, 0.009084550516369442, -0.1109966913825095, -0.09004281231512626, 0.1534145509824157] |
710.2267 | A Note on the Effective Non-vanishing Conjecture | We give a reduction of the irregular case for the effective non-vanishing
conjecture by virtue of the Fourier-Mukai transform. As a consequence, we
reprove that the effective non-vanishing conjecture holds on algebraic
surfaces.
| math.AG | we give a reduction of the irregular case for the effective nonvanishing conjecture by virtue of the fouriermukai transform as a consequence we reprove that the effective nonvanishing conjecture holds on algebraic surfaces | [['we', 'give', 'a', 'reduction', 'of', 'the', 'irregular', 'case', 'for', 'the', 'effective', 'nonvanishing', 'conjecture', 'by', 'virtue', 'of', 'the', 'fouriermukai', 'transform', 'as', 'a', 'consequence', 'we', 'reprove', 'that', 'the', 'effective', 'nonvanishing', 'conjecture', 'holds', 'on', 'algebraic', 'surfaces']] | [-0.2127469755765615, 0.0707473520253023, -0.16977847051439862, 0.1590490017199155, -0.08733076963460806, -0.15494372467087072, 0.019648806728196865, 0.24253716997124933, -0.2454416412069942, -0.2517074059243455, 0.09901176246278214, -0.1900294542623063, -0.2257539521564137, 0.22337556472330383, -0.13621638370960049, -0.012770973258849346, 0.03161578433531703, 0.02453800369844292, -0.12050087029594138, -0.33906174614799744, 0.4010403941978108, -0.03445032938863292, 0.25465473227174673, 0.17302174031536913, 0.14831484989686447, 0.11519908037205989, 0.011025633945158033, -0.05874187871813774, -0.12750505278646332, 0.15629021951286687, 0.2228202781160221, 0.03514765478162603, 0.14925713351730144, -0.40961716707908746, -0.17704129092056642, 0.1481692913750356, 0.14329491895764615, 0.11829981224780733, -0.11278517955956473, -0.23110142755886595, 0.13424325020362934, -0.14484536523620287, -0.27491932548582554, -0.12506851886935305, 0.06688601043865536, -0.028384879005677773, -0.2316814357640617, 0.07123983503763819, 0.17853120381407667, 0.10941372343310804, -0.07227994168572353, -0.09108584512123895, -0.016132741432749863, 0.07521914620178216, 0.08370057944998596, 0.02933350360641877, 0.04957409442938639, -0.0889636454821536, -0.06069592646125591, 0.3313033583602219, -0.1424800930262515, -0.2078863534737717, 0.11366385104360455, -0.07011589324666244, -0.16575080918317492, 0.07761460204016078, 0.05178423858050144, 0.15641904787414454, 0.019868996558767376, 0.19250979872815538, -0.15540350431745703, 0.009839500441695705, 0.16881169914973504, 0.0007764939924306942, 0.12929203400783468, 0.05021384245518482, 0.134294855267261, 0.1993216365350015, -0.01816896046511829, -0.005429929517435305, -0.3736123408783566, -0.2239510965194892, -0.1838331918203921, 0.1990407288751819, -0.11475001861143744, -0.14559793638799226, 0.3664754930827202, 0.04241955822164362, 0.1914419662207365, 0.1750755109118693, 0.24354884288076198, 0.12793693860470684, 0.04767237530287468, -0.003035177533147913, 0.17451478676362472, 0.2369698229118843, 0.02530861929567023, -0.17355298228336102, 0.00038761004918452466, 0.20907594139377275] |
710.2268 | Complexity of some Path Problems in DAGs and Linear Orders | We investigate here the computational complexity of three natural problems in
directed acyclic graphs. We prove their NP Completeness and consider their
restrictions to linear orders.
| math.CO cs.IT math.IT | we investigate here the computational complexity of three natural problems in directed acyclic graphs we prove their np completeness and consider their restrictions to linear orders | [['we', 'investigate', 'here', 'the', 'computational', 'complexity', 'of', 'three', 'natural', 'problems', 'in', 'directed', 'acyclic', 'graphs', 'we', 'prove', 'their', 'np', 'completeness', 'and', 'consider', 'their', 'restrictions', 'to', 'linear', 'orders']] | [-0.1691875307319256, 0.08735841691780549, 0.027895663721630208, 0.1576145701826765, -0.14744955953210592, -0.07450958839259468, 0.06883489978141509, 0.43101553403987336, -0.3988984093929713, -0.33616081145233834, 0.08554974905340575, -0.22679068413204873, -0.12536003082417524, 0.0997053522330064, -0.11184367170342459, 0.10580872343136714, 0.04910633254509706, 0.03612699123242727, -0.0817888595450383, -0.3439257370684153, 0.31754239555448294, -0.09033563260275584, 0.2020294443310167, 0.10864906020175952, 0.10628557506089027, 0.019206301470358785, -0.06378801346111757, 0.12900335900485516, -0.235276122792409, 0.15897549698666597, 0.2973316859167356, 0.1879761072430903, 0.24948447434088358, -0.49351008465656865, -0.16585518086615664, 0.21210124425124377, 0.08538155499487542, 0.11133221798361494, 0.059745911571483776, -0.18876091899493566, 0.12435813570538393, -0.10950079001486301, -0.07928406217923531, -0.029579531043194808, 0.05615732847498013, 0.053399654767977506, -0.18686653057543132, -0.006761143628794413, 0.17981043393508747, 0.10083100070747045, -0.0011771845702941602, -0.15807078606807268, 0.04041459316459413, 0.058639116979275756, -0.02539713367766056, -0.11369690981407005, 0.03123174340894016, -0.1645955704152584, -0.28043794030180347, 0.41916591828115857, 0.033885616522568926, -0.22012026622318304, 0.2118051493397126, -0.12090842436569241, -0.2620314752880054, 0.018528368001660474, 0.2245004023783482, 0.16126901018791473, -0.09736576694278763, 0.20343148507527076, -0.033705527804648645, 0.12181065278575541, 0.11402504246395367, 0.09181110208066037, 0.061055973960229985, 0.16876738991301793, 0.13389745608975107, 0.2701311415204635, 0.03972777403676166, -0.03617130404409881, -0.2189395994377824, -0.13428942601268107, -0.08045191174516311, 0.042025975444210835, -0.16245532213081157, -0.18174101419460315, 0.38172658891058886, 0.17254689973420823, 0.14144536594931895, 0.2076163728040858, 0.23290212044062522, 0.11676754043079339, -0.05185862310015811, 0.09796755060625191, 0.18832947922727236, 0.1835691464993243, 0.014573728020947713, -0.22450688044325665, 0.03206545510329306, 0.05372329181633317] |
710.2269 | On the Farrell-Jones and related Conjectures | These extended notes are based on a series of six lectures presented at the
summer school ``Cohomology of groups and algebraic $K$-theory'' which took
place in Hangzhou, China from July 1 until July 12 in 2007. They give an
introduction to the Farrell-Jones and the Baum-Connes Conjecture.
| math.KT | these extended notes are based on a series of six lectures presented at the summer school cohomology of groups and algebraic ktheory which took place in hangzhou china from july 1 until july 12 in 2007 they give an introduction to the farrelljones and the baumconnes conjecture | [['these', 'extended', 'notes', 'are', 'based', 'on', 'a', 'series', 'of', 'six', 'lectures', 'presented', 'at', 'the', 'summer', 'school', 'cohomology', 'of', 'groups', 'and', 'algebraic', 'ktheory', 'which', 'took', 'place', 'in', 'hangzhou', 'china', 'from', 'july', '1', 'until', 'july', '12', 'in', '2007', 'they', 'give', 'an', 'introduction', 'to', 'the', 'farrelljones', 'and', 'the', 'baumconnes', 'conjecture']] | [-0.08791233642779767, 0.1188210212415644, -0.19998731207538475, 0.07522989752048508, -0.07501150414030602, -0.12450573193107514, -0.03567769220891468, 0.2680126847897438, -0.2126308842661216, -0.40609346680897984, 0.2349146711293291, -0.2633596798764205, -0.1481427792756957, 0.21012771298038832, -0.1760940177445399, -0.10879038593315697, 0.08584509601697643, 0.03520837087342714, -0.03402322779677095, -0.4714538723705931, 0.2939790867150147, 0.10739885714459926, 0.249293381863452, 0.09331846205478019, 0.13138493031580398, 0.0033840212396326215, -0.12006675624387696, -0.11742207800295759, -0.14960633915789584, 0.12168552698765664, 0.38603436475263, 0.03641644254960912, 0.23119686835227496, -0.48313041063065226, -0.024402314960520637, 0.013393550734729209, 0.013452981638306, -0.00925662015079263, -0.030015399533403205, -0.3370885942230358, -0.02523536044866481, -0.1872214877165537, -0.07257680430453509, 0.044896740743771514, 0.07906416902675274, -0.012041733243522491, -0.14041175897371896, 0.013563054955584254, 0.06250410118794188, 0.22629306683356457, -0.07301492082324136, -0.12627232494575785, -0.05196584182533812, 0.1723342837290244, -0.028200461291410822, 0.017671173279906843, 0.0659834472363458, -0.005818429264299413, -0.17433043452415695, 0.3605521807962276, 0.020638480188047634, 0.0549186258874041, 0.16504779743882728, -0.20956647760690528, -0.30475570726644324, 0.15148626121276237, 0.21971417416600472, 0.10645518917899995, -0.05940081099880502, 0.14261493057834895, -0.07114006912718437, 0.12985130474268597, 0.13805048858271318, -0.11744129849954489, 0.2284391752117254, 0.03221197366873001, -0.01624774233874013, 0.0401156665360991, -0.023242408662360717, -0.08937940454269026, -0.37431196131287736, -0.1684398768008984, -0.07669313886064164, 0.1073819037843892, 0.030930009264959656, -0.08037303728447791, 0.40416297758434044, 0.10075266112355476, 0.12488717081500812, 0.07008523948024958, 0.1438228095723118, 0.036592185140607206, -0.03809052932279264, 0.08066679209351857, 0.17738682994658642, 0.174470225368884, 0.19975198449646223, -0.007296774630494257, -0.06753340208942586, 0.26560631196232554] |
710.227 | On the low-energy density of states in disordered d-wave superconductor | We study the low-energy density of states of Dirac fermions in disordered
d-wave superconductor. At zero energy, a finite density of states is obtained
via the mechanism of dynamical mass generation in an effective
(1+1)-dimensional relativistic field theory.
| cond-mat.supr-con cond-mat.str-el | we study the lowenergy density of states of dirac fermions in disordered dwave superconductor at zero energy a finite density of states is obtained via the mechanism of dynamical mass generation in an effective 11dimensional relativistic field theory | [['we', 'study', 'the', 'lowenergy', 'density', 'of', 'states', 'of', 'dirac', 'fermions', 'in', 'disordered', 'dwave', 'superconductor', 'at', 'zero', 'energy', 'a', 'finite', 'density', 'of', 'states', 'is', 'obtained', 'via', 'the', 'mechanism', 'of', 'dynamical', 'mass', 'generation', 'in', 'an', 'effective', '11dimensional', 'relativistic', 'field', 'theory']] | [-0.22405106754434345, 0.3286330027564729, -0.10848671104758978, 0.07526920433462549, 0.0182343387584153, -0.1232432739986842, 0.052929219700959755, 0.2621941308883068, -0.18758468374021744, -0.2586762464458221, -0.06912990321870893, -0.3190326660773472, -0.06442313657240256, 0.08068640990868996, 0.09570666414832599, 0.06773951619030222, -0.05122477923961062, 0.07204322335555365, -0.15305203787590327, -0.17850174624963025, 0.38917994784730436, 0.03151352085957402, 0.32546662813738775, 0.10771766720388673, 0.022201526910066605, 0.03700178619596715, 0.10495360269162216, 0.0003960322784750085, -0.13349812183725207, 0.05785564196871986, 0.2464883243910184, -0.07302638589355506, 0.1962707535314717, -0.46401295345276594, -0.27348177634963866, 0.014174092511989568, 0.1432241256299772, 0.1773313879476566, -0.11119629001539004, -0.29530533846761836, 0.06089860485180428, -0.21657000845420712, -0.2417857696449286, -0.056030735348988524, -0.03166109766798878, -0.08392568117032122, -0.2528208032936642, 0.14339516972617466, -0.026693660316308716, 0.06033010126434659, -0.09505115503347233, -0.06619174430440915, -0.10868279818494461, -0.018077912336019308, 0.045097474517349745, 0.026746768963915344, 0.11815215523299565, -0.21107021252330588, -0.13055207802436167, 0.3561651321177028, -0.1372023520985079, -0.13268248501576876, 0.1404967976023296, -0.11582303390299019, -0.0846477342083266, 0.1581953516916225, 0.1586490152893882, 0.12288878109355114, -0.14338228297664932, 0.169729312563217, -0.07861511104764711, 0.11176547015968122, -0.029052186855360082, 0.08736190873835432, 0.2991210896227705, 0.18045092717205224, 0.055564315940596555, 0.09426135756075382, -0.0836171567145931, -0.09921073669102043, -0.32405907788166877, -0.16052507493939056, -0.2692245833551217, 0.09735595221680246, -0.048397858602632036, -0.1991571632434467, 0.45274511259049177, 0.12175011889714944, 0.16208683841518665, -0.041748951262745415, 0.19963891235621353, 0.21242466152302528, 0.03675348136426979, 0.0751087393636178, 0.2260627332266028, 0.22628878493254123, 0.057902581254510505, -0.32831564495389004, -0.12158821417803042, 0.11642278624257367] |
710.2271 | Support of generalized parton distributions in Bethe-Salpeter models of
hadrons | The proper support of generalized parton distributions from relativistic
constituent quark models with pointlike constituents is studied. The correct
support is guaranteed when the vertex function does not depend on the relative
minus-momentum. We show that including quark interactions in models with
pointlike constituent quarks might lead to a support problem. A computation of
the magnitude of the support problem in the Bonn relativistic constituent quark
model is presented.
| hep-ph | the proper support of generalized parton distributions from relativistic constituent quark models with pointlike constituents is studied the correct support is guaranteed when the vertex function does not depend on the relative minusmomentum we show that including quark interactions in models with pointlike constituent quarks might lead to a support problem a computation of the magnitude of the support problem in the bonn relativistic constituent quark model is presented | [['the', 'proper', 'support', 'of', 'generalized', 'parton', 'distributions', 'from', 'relativistic', 'constituent', 'quark', 'models', 'with', 'pointlike', 'constituents', 'is', 'studied', 'the', 'correct', 'support', 'is', 'guaranteed', 'when', 'the', 'vertex', 'function', 'does', 'not', 'depend', 'on', 'the', 'relative', 'minusmomentum', 'we', 'show', 'that', 'including', 'quark', 'interactions', 'in', 'models', 'with', 'pointlike', 'constituent', 'quarks', 'might', 'lead', 'to', 'a', 'support', 'problem', 'a', 'computation', 'of', 'the', 'magnitude', 'of', 'the', 'support', 'problem', 'in', 'the', 'bonn', 'relativistic', 'constituent', 'quark', 'model', 'is', 'presented']] | [-0.05547285607248983, 0.2064533911727588, -0.13089029168152003, 0.12097355743753724, -0.10212794064051088, -0.08819150894551593, 0.02753802708706216, 0.3708271194687661, -0.18389054968514862, -0.25685610775561896, -0.028801060141310755, -0.2783594769288731, -0.024962886017473304, 0.0844719427439165, -0.005729989346839241, 0.06816750710063121, 0.09668877197477474, 0.06920173471820924, -0.06437163859920796, -0.2224562305782456, 0.34207222505253465, 0.0005030443614540512, 0.2508243295528433, 0.15866652617970592, 0.09890882506528322, 0.061095643672160804, -0.07350098110242363, -0.004669073804774705, -0.010847806516775402, 0.05291705322109491, 0.14697134141309054, 0.07418310684014988, 0.18148075202343, -0.421084731899421, -0.21481714608928407, 0.09100056871059625, 0.11721629885655335, 0.11799478530883789, -0.02260713397888193, -0.23595779241227052, 0.12579808823819108, -0.2492342907421784, -0.19480509739643073, -0.059770149206194806, -0.010058616267462425, 0.07033138987882172, -0.31325841087656203, 0.07470276338212631, 0.038368376123103454, -0.029332775513038915, -0.06559980730526149, -0.2275099562590613, -0.05171722444870016, 0.07005291777835844, 0.055922745701322774, 0.09338041820207282, 0.12400304359685191, -0.20915531709461527, -0.15779009423054316, 0.47825606715153246, -0.03750224393682883, -0.2733764637754682, 0.1873474797261331, -0.14472094428835108, -0.11512299288091633, 0.09675743959515411, 0.20321443457813823, 0.0950806853840785, -0.1746085007541885, 0.11917763171881876, -0.07467210637268555, 0.1945207805290599, 0.018504410119288984, 0.03612785439198727, 0.2715970806996612, 0.17087276483653113, -0.02137894374968977, 0.09857710045488442, -0.02596452656571808, -0.12810067914645462, -0.3598587206181358, -0.07805699207272161, -0.1746498358107227, -0.015619085152994719, -0.08970978893065716, -0.17646938976352378, 0.4016860453411937, 0.15132794339168706, 0.18264011425130508, 0.009565222761867678, 0.2712493339991745, 0.1268077489152989, 0.09257108241538792, 0.1331796649747583, 0.28397212063838895, 0.17662242504507852, 0.047080461983568966, -0.22222431812449084, 0.0623423245475244, 0.10834991607321974] |
710.2272 | Single-Particle Dynamics in the Vicinity of the Mott-Hubbard
Metal-to-Insulator Transition | The single-particle dynamics close to a metal-to-insulator transition induced
by strong repulsive interaction between the electrons is investigated. The
system is described by a half-filled Hubbard model which is treated by dynamic
mean-field theory evaluated by high-resolution dynamic density-matrix
renormalization. We provide theoretical spectra with momentum resolution which
facilitate the comparison to photoelectron spectroscopy.
| cond-mat.str-el | the singleparticle dynamics close to a metaltoinsulator transition induced by strong repulsive interaction between the electrons is investigated the system is described by a halffilled hubbard model which is treated by dynamic meanfield theory evaluated by highresolution dynamic densitymatrix renormalization we provide theoretical spectra with momentum resolution which facilitate the comparison to photoelectron spectroscopy | [['the', 'singleparticle', 'dynamics', 'close', 'to', 'a', 'metaltoinsulator', 'transition', 'induced', 'by', 'strong', 'repulsive', 'interaction', 'between', 'the', 'electrons', 'is', 'investigated', 'the', 'system', 'is', 'described', 'by', 'a', 'halffilled', 'hubbard', 'model', 'which', 'is', 'treated', 'by', 'dynamic', 'meanfield', 'theory', 'evaluated', 'by', 'highresolution', 'dynamic', 'densitymatrix', 'renormalization', 'we', 'provide', 'theoretical', 'spectra', 'with', 'momentum', 'resolution', 'which', 'facilitate', 'the', 'comparison', 'to', 'photoelectron', 'spectroscopy']] | [-0.11168597249693617, 0.18546847692966736, -0.08586917735670728, 0.09562831283848802, -0.0022777352283743246, -0.17695638364939778, 0.06121836559355466, 0.40561093341697146, -0.25754784558106353, -0.28476594712723186, -0.05831203653684093, -0.3201230307006174, -0.11472436942643037, 0.0943293423452242, 0.09458325730843677, 0.015159967596884127, 0.03405829199969217, -0.07377041230372722, -0.10396945053987482, -0.14454294818332764, 0.27840672623952506, 0.11616137965271871, 0.25429065570373227, 0.11185033481430125, 0.0373099009954819, 0.09194710627478478, 0.07458565339308094, 0.07890118556787018, -0.1737254603455464, 0.0526541324754901, 0.2666980684400726, -0.08372270812590916, 0.2565842071565351, -0.427538279340499, -0.27741544748897906, -0.08086514056022107, 0.14066997663704334, 0.10142383039325338, -0.0646535361345202, -0.39244436086327944, 0.011368352818492524, -0.24013515858462564, -0.136276604383494, -0.171125628657777, -0.054986144562631296, 0.008786431996634713, -0.25683058850053286, 0.12809787153943303, -0.029381138341570343, 0.12523121743773422, -0.0872678666341084, -0.016858742785795282, -0.061623422532445855, 0.08390016731357684, 0.008831906134555876, 0.05271921751813756, 0.11459967451756475, -0.10031116295054003, -0.10674359226875284, 0.3920743775519508, -0.07630630492456947, -0.12522422777557815, 0.18962081300129216, -0.16795767657458782, -0.024714876293998073, 0.19986577692476135, 0.06259767975037296, 0.11098387506273058, -0.20429877543614972, 0.11015370568808673, -0.034064493211055244, 0.21125531365612038, -0.025870912811822362, 0.006454199561159368, 0.19256122231362732, 0.2189940798605137, -0.013173688306576677, 0.13605229437558186, -0.09852024636671154, -0.17226703856377518, -0.19648085927797687, -0.029233947379031667, -0.26242542877379393, 0.06130968461123606, -0.024660130997222883, -0.14824804987034035, 0.37947294077215094, 0.1368641413067019, 0.18352978494604705, -0.025435010225650062, 0.30393430074090483, 0.20540370488608325, 0.010280636639368755, 0.011354435140404988, 0.2598467356249414, 0.19016244432768198, 0.06408962421119213, -0.35563855029263153, -0.0010271400075267862, 0.15392807979757586] |
710.2273 | Constituent and current quark masses at low chiral energies | Light constituent quark masses and the corresponding dynamical quark masses
are determined by data, the Quark-Level Linear $\sigma$ Model, and infrared
QCD. This allows to define effective nonstrange and strange current quark
masses which reproduce the experimental pion and kaon masses very accurately,
by simple additivity. Moreover, the masses of the light scalar mesons
$\sigma(600)$ and $\kappa(800)$ can be obtained straightforwardly from the
constituent quark masses. In contrast, the usual nonstrange and strange current
quark masses employed by Chiral Perturbation Theory do not allow a simple
quantitative explanation of the pion and kaon masses.
| hep-ph | light constituent quark masses and the corresponding dynamical quark masses are determined by data the quarklevel linear sigma model and infrared qcd this allows to define effective nonstrange and strange current quark masses which reproduce the experimental pion and kaon masses very accurately by simple additivity moreover the masses of the light scalar mesons sigma600 and kappa800 can be obtained straightforwardly from the constituent quark masses in contrast the usual nonstrange and strange current quark masses employed by chiral perturbation theory do not allow a simple quantitative explanation of the pion and kaon masses | [['light', 'constituent', 'quark', 'masses', 'and', 'the', 'corresponding', 'dynamical', 'quark', 'masses', 'are', 'determined', 'by', 'data', 'the', 'quarklevel', 'linear', 'sigma', 'model', 'and', 'infrared', 'qcd', 'this', 'allows', 'to', 'define', 'effective', 'nonstrange', 'and', 'strange', 'current', 'quark', 'masses', 'which', 'reproduce', 'the', 'experimental', 'pion', 'and', 'kaon', 'masses', 'very', 'accurately', 'by', 'simple', 'additivity', 'moreover', 'the', 'masses', 'of', 'the', 'light', 'scalar', 'mesons', 'sigma600', 'and', 'kappa800', 'can', 'be', 'obtained', 'straightforwardly', 'from', 'the', 'constituent', 'quark', 'masses', 'in', 'contrast', 'the', 'usual', 'nonstrange', 'and', 'strange', 'current', 'quark', 'masses', 'employed', 'by', 'chiral', 'perturbation', 'theory', 'do', 'not', 'allow', 'a', 'simple', 'quantitative', 'explanation', 'of', 'the', 'pion', 'and', 'kaon', 'masses']] | [0.009898717217939966, 0.35522241616111366, -0.12597950222961446, 0.2049735038419888, -0.09419206764915601, -0.12428791696289951, 0.10752159878586795, 0.29659859742969275, -0.10965991171790247, -0.25158858068406265, -0.06945482334444061, -0.2792130088697725, 0.03348096888634671, 0.08348359633856355, 0.05831738370173472, 0.15630069266548974, 0.030742751052999433, 0.05247687201134543, -0.09399626126631777, -0.18619153756608672, 0.3613645454145413, -0.09403782237836338, 0.16669455697720356, 0.1992087041627259, -0.012701166564588771, -0.021705758321951044, -0.04964592295916791, -0.0799779588643937, -0.09251137542478899, 0.048033840434150175, 0.14923031486885405, 0.029607161086924533, 0.023485220838684907, -0.32480688049071565, -0.15130349272178448, 0.11793352010352735, 0.14375764052470294, 0.12583884583820806, -0.03826308287085688, -0.3243651507580851, 0.09558543488581447, -0.22437458370435745, -0.21748059163206912, -0.195968676497169, -0.03762398683466017, -0.030206655360203474, -0.3581972839409842, 0.1297114029501322, -0.09529334989511358, -0.005723480630586756, -0.04043661069404829, -0.30436033599990164, -0.09462463833451112, 0.05478514336109003, 0.12104981259735142, 0.10274141430953874, 0.19541294756840835, -0.1572465583944614, -0.10466776609029423, 0.49759535404278876, -0.08453220311933732, -0.17949124083431942, 0.1360907378963175, -0.16991938931490988, -0.06568404167464519, 0.09682860278940582, 0.17892105031778363, 0.05971871636946626, -0.28824093874464646, 0.07905755567109271, -0.09730336031916136, 0.2271827119390203, 0.1313096223785443, 0.06908313675407082, 0.3504706795149027, 0.17978065470084945, -0.13380059210256615, -0.03324619004071908, 0.0031919209038878374, -0.11019137191606011, -0.32697383120180445, -0.028710627224930424, -0.08437710753245715, 0.059898604049521964, -0.1572961562767964, -0.06296097846860264, 0.40691292230436144, 0.10601278923035777, 0.26795008842972046, 0.06963028595411277, 0.3600932834149794, 0.07030969753148074, 0.11006598305848843, 0.08611283319546505, 0.3431468803603995, 0.2939978102197316, 0.18288221523324225, -0.32294299131249415, -0.09091088070752139, 0.10610114234658156] |
710.2274 | Phase diagram of the one-dimensional Hubbard model with
next-nearest-neighbor hopping | We study the one-dimensional Hubbard model with nearest-neighbor and
next-nearest-neighbor hopping integrals by using the density-matrix
renormalization group (DMRG) method and Hartree-Fock approximation. Based on
the calculated results for the spin gap, total-spin quantum number, and
Tomonaga-Luttinger-liquid parameter, we determine the ground-state phase
diagram of the model in the entire filling and wide parameter region. We show
that, in contrast to the weak-coupling regime where a spin-gapped liquid phase
is predicted in the region with four Fermi points, the spin gap vanishes in a
substantial region in the strong-coupling regime. It is remarkable that a large
variety of phases, such as the paramagnetic metallic phase, spin-gapped liquid
phase, singlet and triplet superconducting phases, and fully polarized
ferromagnetic phase, appear in such a simple model in the strong-coupling
regime.
| cond-mat.str-el | we study the onedimensional hubbard model with nearestneighbor and nextnearestneighbor hopping integrals by using the densitymatrix renormalization group dmrg method and hartreefock approximation based on the calculated results for the spin gap totalspin quantum number and tomonagaluttingerliquid parameter we determine the groundstate phase diagram of the model in the entire filling and wide parameter region we show that in contrast to the weakcoupling regime where a spingapped liquid phase is predicted in the region with four fermi points the spin gap vanishes in a substantial region in the strongcoupling regime it is remarkable that a large variety of phases such as the paramagnetic metallic phase spingapped liquid phase singlet and triplet superconducting phases and fully polarized ferromagnetic phase appear in such a simple model in the strongcoupling regime | [['we', 'study', 'the', 'onedimensional', 'hubbard', 'model', 'with', 'nearestneighbor', 'and', 'nextnearestneighbor', 'hopping', 'integrals', 'by', 'using', 'the', 'densitymatrix', 'renormalization', 'group', 'dmrg', 'method', 'and', 'hartreefock', 'approximation', 'based', 'on', 'the', 'calculated', 'results', 'for', 'the', 'spin', 'gap', 'totalspin', 'quantum', 'number', 'and', 'tomonagaluttingerliquid', 'parameter', 'we', 'determine', 'the', 'groundstate', 'phase', 'diagram', 'of', 'the', 'model', 'in', 'the', 'entire', 'filling', 'and', 'wide', 'parameter', 'region', 'we', 'show', 'that', 'in', 'contrast', 'to', 'the', 'weakcoupling', 'regime', 'where', 'a', 'spingapped', 'liquid', 'phase', 'is', 'predicted', 'in', 'the', 'region', 'with', 'four', 'fermi', 'points', 'the', 'spin', 'gap', 'vanishes', 'in', 'a', 'substantial', 'region', 'in', 'the', 'strongcoupling', 'regime', 'it', 'is', 'remarkable', 'that', 'a', 'large', 'variety', 'of', 'phases', 'such', 'as', 'the', 'paramagnetic', 'metallic', 'phase', 'spingapped', 'liquid', 'phase', 'singlet', 'and', 'triplet', 'superconducting', 'phases', 'and', 'fully', 'polarized', 'ferromagnetic', 'phase', 'appear', 'in', 'such', 'a', 'simple', 'model', 'in', 'the', 'strongcoupling', 'regime']] | [-0.17758676682569785, 0.22778071961693058, -0.04723891841240402, 0.04054622301737254, 0.014051273403310915, -0.1526523525826633, 0.13825704120426963, 0.38356398686300963, -0.23476430901428103, -0.23403777564817574, 0.017708014937852568, -0.30805721229990013, -0.13496615966505487, 0.13760483987908856, 0.0905554695139017, 0.012694708659012122, -0.027533615988431848, -0.033735746881575324, -0.16185125228730612, -0.19175634095881833, 0.2916696571628563, -0.07000937246357353, 0.30251015616522636, 0.09063472670459305, 0.022187079237482976, 0.03165609002826386, 0.15271177134854952, 0.012979197854292579, -0.1609900707195493, -0.027360697007679846, 0.2904377325303358, -0.13916153424725053, 0.17295409193320666, -0.3947955428302521, -0.21368497398361797, 0.054697714615031146, 0.1677789120003581, 0.16735610312207427, -0.02829472625762719, -0.33266580847703153, -0.030867150380800012, -0.2646088255860377, -0.13112873709542328, -0.1359512124909088, -0.05198472369011142, -0.04178741813166198, -0.2339241224392481, 0.11337613368959865, 0.010946168069494888, 0.04250201362083317, -0.05354679355150438, -0.10471669247635873, -0.02845562046240957, 0.06307892253971659, 0.017760513700523006, 0.09054558902516874, 0.08925046567310346, -0.17618040746310726, -0.055878330873383675, 0.3532527019124245, -0.09318521797285939, -0.09428062359802425, 0.16843489750863228, -0.22802580097072678, -0.08905035857969779, 0.17154827582271537, 0.06987491947256785, 0.08288104485836811, -0.09853695919446182, 0.14591775923508976, -0.04220942178653786, 0.1897448341803738, -0.07086099452135386, 0.037345677585108206, 0.1985888481794973, 0.20718431293062167, 0.039673349649092415, 0.16002901984211348, -0.16298590639689792, -0.2069643949798774, -0.2624090424651513, -0.14770306725404225, -0.25309062666929094, -0.03427532094974595, -0.1113502638575028, -0.2035116375045618, 0.4340330876002554, 0.14324120748096902, 0.19001340794784483, -0.04256695313961245, 0.2217179260969715, 0.12025662771975476, 0.025907160186761757, 0.062200339773426094, 0.2574654118870967, 0.1492194607581041, 0.062030449304074864, -0.3037046102908789, -0.0030852526692797255, 0.109743272405467] |
710.2275 | Pion structure in QCD: From theory to lattice to experimental data | We describe the present status of the pion distribution amplitude (DA) as it
originates from several sources: (i) a nonperturbative approach based on QCD
sum rules with nonlocal condensates, (ii) an $O(\alpha_s)$ QCD analysis of the
CLEO data on F^{\gamma\gamma^*\pi}(Q^2) with asymptotic and renormalon models
for higher twists, and (iii) recent high-precision lattice QCD calculations of
the second moment of the pion DA. We show predictions for the pion
electromagnetic form factor, obtained in analytic QCD perturbation theory, and
compare it with the JLab data on F_{\pi}(Q^2). We also discuss in this context
an improved model for nonlocal condensates in QCD and show its consequences for
the pion DA and the \gamma\gamma^*\to\pi transition form factor. We include a
brief analysis of meson-induced massive lepton (muon) Drell--Yan production for
the process \pi^{-}N\to\mu^{+}\mu^{-}X, considering both an unpolarized nucleon
target and longitudinally polarized protons.
| hep-ph | we describe the present status of the pion distribution amplitude da as it originates from several sources i a nonperturbative approach based on qcd sum rules with nonlocal condensates ii an oalpha_s qcd analysis of the cleo data on fgammagammapiq2 with asymptotic and renormalon models for higher twists and iii recent highprecision lattice qcd calculations of the second moment of the pion da we show predictions for the pion electromagnetic form factor obtained in analytic qcd perturbation theory and compare it with the jlab data on f_piq2 we also discuss in this context an improved model for nonlocal condensates in qcd and show its consequences for the pion da and the gammagammatopi transition form factor we include a brief analysis of mesoninduced massive lepton muon drellyan production for the process pintomumux considering both an unpolarized nucleon target and longitudinally polarized protons | [['we', 'describe', 'the', 'present', 'status', 'of', 'the', 'pion', 'distribution', 'amplitude', 'da', 'as', 'it', 'originates', 'from', 'several', 'sources', 'i', 'a', 'nonperturbative', 'approach', 'based', 'on', 'qcd', 'sum', 'rules', 'with', 'nonlocal', 'condensates', 'ii', 'an', 'oalpha_s', 'qcd', 'analysis', 'of', 'the', 'cleo', 'data', 'on', 'fgammagammapiq2', 'with', 'asymptotic', 'and', 'renormalon', 'models', 'for', 'higher', 'twists', 'and', 'iii', 'recent', 'highprecision', 'lattice', 'qcd', 'calculations', 'of', 'the', 'second', 'moment', 'of', 'the', 'pion', 'da', 'we', 'show', 'predictions', 'for', 'the', 'pion', 'electromagnetic', 'form', 'factor', 'obtained', 'in', 'analytic', 'qcd', 'perturbation', 'theory', 'and', 'compare', 'it', 'with', 'the', 'jlab', 'data', 'on', 'f_piq2', 'we', 'also', 'discuss', 'in', 'this', 'context', 'an', 'improved', 'model', 'for', 'nonlocal', 'condensates', 'in', 'qcd', 'and', 'show', 'its', 'consequences', 'for', 'the', 'pion', 'da', 'and', 'the', 'gammagammatopi', 'transition', 'form', 'factor', 'we', 'include', 'a', 'brief', 'analysis', 'of', 'mesoninduced', 'massive', 'lepton', 'muon', 'drellyan', 'production', 'for', 'the', 'process', 'pintomumux', 'considering', 'both', 'an', 'unpolarized', 'nucleon', 'target', 'and', 'longitudinally', 'polarized', 'protons']] | [-0.051224442342282746, 0.1584252140688688, -0.11106062996997565, 0.11765487641701654, -0.04863442445470803, -0.04330417760512859, 0.06849405262239641, 0.36397569849952194, -0.1490728480849361, -0.1787870294292984, 0.006455024556708994, -0.34230663745488593, -0.05141879489267434, 0.13152592194914495, 0.07352614270496195, 0.0757829954782737, 0.08084529997153289, 0.006428105800507077, -0.08291225976216188, -0.20429388390503067, 0.38460454550922674, 0.04089092119407935, 0.25708104914519936, 0.16072401391558241, 0.06879616877489278, 0.05199188730372386, -0.10928860614945153, -0.07320002713443144, -0.13376717015668965, 0.07513868322838908, 0.18645812047467136, 0.08522460692852357, 0.08699116721054188, -0.395893683636804, -0.14892735751345754, 0.052563004423459264, 0.1295041623474706, 0.14202693046030143, -0.04082868535635129, -0.29059996763649193, 0.0618181384364278, -0.2507509294141462, -0.15810175678031385, -0.16899953531506268, -0.017058809719763805, -0.011648690058053404, -0.3518474887266917, 0.07316160339172896, -0.012148661356743263, 0.04107336908787872, -0.05385286839209848, -0.25286854853840085, 0.03942826538063262, 0.04569761596866411, 0.10627888439900572, 0.10090143471092418, 0.11179250646787493, -0.23029746033042076, -0.16839598530930452, 0.42078927360421076, -0.08906984213820618, -0.1353324763139413, 0.0735693567903186, -0.20022944368732473, -0.14847394810699305, 0.10422092184012728, 0.20246648626989158, 0.10264783595567165, -0.17641456602006286, 0.07980423182522392, -0.027765768926010292, 0.15373246181263603, 0.08175367540578642, 0.02747961672940764, 0.19241644600338803, 0.20148044187015435, -0.05867361263506978, 0.07678891563842045, -0.07838690874969884, -0.10528940083863943, -0.40408204950770177, -0.08290427105933212, -0.09444479103895255, 0.09362273009331978, -0.10454847692333556, -0.12823173482320271, 0.3315627825264212, 0.11272250647923193, 0.22361449535241842, 0.021338638528992517, 0.3312078426639293, 0.12524417176301422, 0.03864962116821898, 0.07084476050374139, 0.2454344541647647, 0.1777461831883082, 0.15919741508095403, -0.28426601515726047, -0.05880076603953848, 0.07951261703788802] |
710.2276 | Optical coupling of fundamental whispering gallery modes in bi-spheres | What will happen if two identical microspheres, with fundamental whispering
gallery modes excited in each of them, become optically coupled? Conventional
wisdom based on coupled-mode arguments says that two new modes, bonding and
anti-bonding, with two split frequencies would be formed. In this paper we
demonstrate, using exact multi-sphere Mie theory, that in reality an attempt to
couple two fundamental modes of microspheres would result in a complex
multi-resonance optical response with the field distribution significantly
deviating from predictions of coupled-mode type theories.
| physics.optics | what will happen if two identical microspheres with fundamental whispering gallery modes excited in each of them become optically coupled conventional wisdom based on coupledmode arguments says that two new modes bonding and antibonding with two split frequencies would be formed in this paper we demonstrate using exact multisphere mie theory that in reality an attempt to couple two fundamental modes of microspheres would result in a complex multiresonance optical response with the field distribution significantly deviating from predictions of coupledmode type theories | [['what', 'will', 'happen', 'if', 'two', 'identical', 'microspheres', 'with', 'fundamental', 'whispering', 'gallery', 'modes', 'excited', 'in', 'each', 'of', 'them', 'become', 'optically', 'coupled', 'conventional', 'wisdom', 'based', 'on', 'coupledmode', 'arguments', 'says', 'that', 'two', 'new', 'modes', 'bonding', 'and', 'antibonding', 'with', 'two', 'split', 'frequencies', 'would', 'be', 'formed', 'in', 'this', 'paper', 'we', 'demonstrate', 'using', 'exact', 'multisphere', 'mie', 'theory', 'that', 'in', 'reality', 'an', 'attempt', 'to', 'couple', 'two', 'fundamental', 'modes', 'of', 'microspheres', 'would', 'result', 'in', 'a', 'complex', 'multiresonance', 'optical', 'response', 'with', 'the', 'field', 'distribution', 'significantly', 'deviating', 'from', 'predictions', 'of', 'coupledmode', 'type', 'theories']] | [-0.11329499999599824, 0.21768672953528795, -0.1245268637942801, 0.00025542676645185213, -0.10533016637326723, -0.1989974817204996, -0.0015131873190851815, 0.392650044410972, -0.21141574923397907, -0.26201392658593425, -0.0024850293432912194, -0.2769838554717331, -0.1983617561285844, 0.1703069992812283, -0.02552649676126529, -0.0012818678136331488, 0.0552634320008647, -0.0008393332294850465, 0.027586702582796652, -0.1643726730113288, 0.3053533021242818, -0.05899943366467235, 0.3441825646413378, -0.013542723321602735, 0.02558285433866353, 0.005920798130647604, 0.052905548363924026, 0.0026721307749759003, -0.12312038549231169, 0.15289330210099109, 0.26281601876996635, 0.049279656165829265, 0.2677652986428465, -0.5196172412799065, -0.15604361309950432, 0.04345911057351763, 0.21621400925768428, 0.15570977170873118, -0.03532539234715458, -0.25711178651685457, 0.016373430352085775, -0.133584684108844, -0.18306529435822852, -0.02456496415957135, -0.03876903133483671, -0.034698402475431024, -0.2504452712320532, 0.038266031085569634, 0.044928505994289755, 0.0527696241456342, -0.0771232031935164, -0.08857278194256037, -0.004925407317792435, 0.05290914325784129, 0.028330269984968275, -0.04026858079954084, 0.1396268939273993, -0.0878476443159091, -0.14439933217433562, 0.38784642295395755, -0.11565772411469595, -0.17155367718358716, 0.2539552108311734, -0.1546833419566413, -0.06067300339913871, 0.15200783929041395, 0.1230651970801269, 0.08124128780720463, -0.1212462054745081, -0.014631524671525526, -0.030526847286845547, 0.22389979642978589, 0.1590643452861941, 0.08407726304897342, 0.27570692084011544, 0.12525526692681238, -0.03613087754270219, 0.08083192720105983, -0.029330916658214978, -0.07981968451717711, -0.237132012670164, -0.11070733009528998, -0.18092349891730372, 0.06170775187875043, -0.034308967185985154, -0.1599288770693343, 0.3780785766486303, 0.14028987013566566, 0.13918031188827681, 0.004605274021917258, 0.2963051140891859, 0.09482031162962856, 0.061740363353347205, 0.02356601371261549, 0.3785068086651434, 0.16522320920982994, 0.046118005745516846, -0.2072146316535816, -0.07271284072558923, 0.04637504886858255] |
710.2277 | Renormalization of Polyakov loops in fundamental and higher
representations | We compare two renormalization procedures, one based on the short distance
behavior of heavy quark-antiquark free energies and the other by using bare
Polyakov loops at different temporal extent of the lattice and find that both
prescriptions are equivalent, resulting in renormalization constants that
depend on the bare coupling. Furthermore these renormalization constants show
Casimir scaling for higher representations of the Polyakov loops. The analysis
of Polyakov loops in different representations of the color SU(3) group
indicates that a simple perturbative inspired relation in terms of the
quadratic Casimir operator is realized to a good approximation at temperatures
$T \gsim T_c$ for renormalized as well as bare loops. In contrast to a
vanishing Polyakov loop in representations with non-zero triality in the
confined phase, the adjoint loops are small but non-zero even for temperatures
below the critical one. The adjoint quark-antiquark pairs exhibit screening.
This behavior can be related to the binding energy of gluelump states.
| hep-lat hep-ph | we compare two renormalization procedures one based on the short distance behavior of heavy quarkantiquark free energies and the other by using bare polyakov loops at different temporal extent of the lattice and find that both prescriptions are equivalent resulting in renormalization constants that depend on the bare coupling furthermore these renormalization constants show casimir scaling for higher representations of the polyakov loops the analysis of polyakov loops in different representations of the color su3 group indicates that a simple perturbative inspired relation in terms of the quadratic casimir operator is realized to a good approximation at temperatures t gsim t_c for renormalized as well as bare loops in contrast to a vanishing polyakov loop in representations with nonzero triality in the confined phase the adjoint loops are small but nonzero even for temperatures below the critical one the adjoint quarkantiquark pairs exhibit screening this behavior can be related to the binding energy of gluelump states | [['we', 'compare', 'two', 'renormalization', 'procedures', 'one', 'based', 'on', 'the', 'short', 'distance', 'behavior', 'of', 'heavy', 'quarkantiquark', 'free', 'energies', 'and', 'the', 'other', 'by', 'using', 'bare', 'polyakov', 'loops', 'at', 'different', 'temporal', 'extent', 'of', 'the', 'lattice', 'and', 'find', 'that', 'both', 'prescriptions', 'are', 'equivalent', 'resulting', 'in', 'renormalization', 'constants', 'that', 'depend', 'on', 'the', 'bare', 'coupling', 'furthermore', 'these', 'renormalization', 'constants', 'show', 'casimir', 'scaling', 'for', 'higher', 'representations', 'of', 'the', 'polyakov', 'loops', 'the', 'analysis', 'of', 'polyakov', 'loops', 'in', 'different', 'representations', 'of', 'the', 'color', 'su3', 'group', 'indicates', 'that', 'a', 'simple', 'perturbative', 'inspired', 'relation', 'in', 'terms', 'of', 'the', 'quadratic', 'casimir', 'operator', 'is', 'realized', 'to', 'a', 'good', 'approximation', 'at', 'temperatures', 't', 'gsim', 't_c', 'for', 'renormalized', 'as', 'well', 'as', 'bare', 'loops', 'in', 'contrast', 'to', 'a', 'vanishing', 'polyakov', 'loop', 'in', 'representations', 'with', 'nonzero', 'triality', 'in', 'the', 'confined', 'phase', 'the', 'adjoint', 'loops', 'are', 'small', 'but', 'nonzero', 'even', 'for', 'temperatures', 'below', 'the', 'critical', 'one', 'the', 'adjoint', 'quarkantiquark', 'pairs', 'exhibit', 'screening', 'this', 'behavior', 'can', 'be', 'related', 'to', 'the', 'binding', 'energy', 'of', 'gluelump', 'states']] | [-0.1299298322470023, 0.2677695812502255, -0.08078805452738053, 0.11959340640654166, -0.03132535560199848, -0.13870657983427057, 0.03809939599327313, 0.409997964468904, -0.19787535004807302, -0.2393227558932267, 0.019763909135527242, -0.29833414653937024, -0.089731006152504, 0.13729189999270228, 0.028165416726364922, 0.031486652355688885, 0.0195140558330772, 0.11574180588015737, -0.13860646833200008, -0.21646289554281303, 0.3511513767716212, -0.018372644437476993, 0.2823243018729278, 0.1639255616419877, 0.055250185526883565, -0.025303305013296314, 0.03166658103836175, 0.023648987682416845, -0.07091459921087871, 0.0751939037227436, 0.2021617548867093, -0.06732393114361912, 0.1664546744268125, -0.37751576841737217, -0.20386176974287268, 0.07581355306618394, 0.16785798217796793, 0.09935119385138536, 0.014419735766027886, -0.23873622302348033, 0.07940184091925263, -0.16819572299480057, -0.1399291659024759, -0.11287094521312377, -0.014206585510132404, -0.0455497750827374, -0.25346903945319355, 0.11171057128395216, -0.03783096179578047, 0.07503585152638455, -0.05050244623457846, -0.1568718850135039, -0.04338523190176019, 0.1454710005155693, 0.08942782476347369, 0.03850243632675698, 0.1426438536727801, -0.17329970178625678, -0.10786196140823169, 0.37674101927460957, -0.09592758041197577, -0.1517967433707478, 0.18375209959086555, -0.14333937206687644, -0.11284586652301443, 0.09592043757080458, 0.10165280227262813, 0.11880398532136893, -0.13402422509777048, 0.13049857341012774, -0.01634533065281665, 0.12443059565908371, 0.11225605889175756, 0.03296948892052452, 0.18841131593590268, 0.08691844370257922, 0.017511464327794667, 0.11728347012532862, 0.017256953408762526, -0.14550808554765984, -0.37464921677317947, -0.08922423188908933, -0.15234599322325382, 0.03390298317819356, -0.1548647984520171, -0.20721700178901067, 0.3925032988190651, 0.14322345993833807, 0.266235541832896, 0.06181465447522127, 0.2541089396422299, 0.14574180954085209, 0.14967165140805241, 0.07358877123214114, 0.24063688781088552, 0.1597173478654347, 0.06435527921152803, -0.3393604513765193, -0.043122047612157, 0.17732139963071603] |
710.2278 | Exploiting B Site Disorder for Phase Control in the Manganites | Disorder on the active d element site is usually very disruptive for
conduction and long range order in perovskite transition metal oxides. However,
in the background of phase competition such `B site' dopants also act to
promote one ordered phase at the expense of another. This occurs either through
valence change of the transition metal or via creation of `defects' in the
parent magnetic state. We provide a framework for understanding the complex
variety of phenomena observed in B site doped manganites and identify the key
parameters that control the physics. Using a spatially resolved analysis of B
ions in various manganite phases we explain the existing data and predict new
situations where highly polarisable phase separated states can be created.
| cond-mat.str-el | disorder on the active d element site is usually very disruptive for conduction and long range order in perovskite transition metal oxides however in the background of phase competition such b site dopants also act to promote one ordered phase at the expense of another this occurs either through valence change of the transition metal or via creation of defects in the parent magnetic state we provide a framework for understanding the complex variety of phenomena observed in b site doped manganites and identify the key parameters that control the physics using a spatially resolved analysis of b ions in various manganite phases we explain the existing data and predict new situations where highly polarisable phase separated states can be created | [['disorder', 'on', 'the', 'active', 'd', 'element', 'site', 'is', 'usually', 'very', 'disruptive', 'for', 'conduction', 'and', 'long', 'range', 'order', 'in', 'perovskite', 'transition', 'metal', 'oxides', 'however', 'in', 'the', 'background', 'of', 'phase', 'competition', 'such', 'b', 'site', 'dopants', 'also', 'act', 'to', 'promote', 'one', 'ordered', 'phase', 'at', 'the', 'expense', 'of', 'another', 'this', 'occurs', 'either', 'through', 'valence', 'change', 'of', 'the', 'transition', 'metal', 'or', 'via', 'creation', 'of', 'defects', 'in', 'the', 'parent', 'magnetic', 'state', 'we', 'provide', 'a', 'framework', 'for', 'understanding', 'the', 'complex', 'variety', 'of', 'phenomena', 'observed', 'in', 'b', 'site', 'doped', 'manganites', 'and', 'identify', 'the', 'key', 'parameters', 'that', 'control', 'the', 'physics', 'using', 'a', 'spatially', 'resolved', 'analysis', 'of', 'b', 'ions', 'in', 'various', 'manganite', 'phases', 'we', 'explain', 'the', 'existing', 'data', 'and', 'predict', 'new', 'situations', 'where', 'highly', 'polarisable', 'phase', 'separated', 'states', 'can', 'be', 'created']] | [-0.12228797851823085, 0.23172312451541915, 0.004798633425519609, 0.0414609736108706, -8.828122522835889e-05, -0.18025441370011608, 0.1235396881811013, 0.38181225510606587, -0.2853512860341998, -0.3020436766919149, 0.04964624740826043, -0.30372443381881664, -0.11872486946988882, 0.12013104071211424, 0.029573006913342997, -0.06462126861765119, -0.009004871904549828, -0.031150813046833193, -0.07880635483215433, -0.17527633553663316, 0.2894482579359338, 0.007996776010379318, 0.29450926693418056, 0.05853967999746977, 0.00912863862881637, -0.014972567508258849, 0.07211982261404888, 0.025920466212016983, -0.1154320589973267, 0.03590842571700269, 0.29260924007658934, 0.0025586878211229795, 0.21274133708543522, -0.4620471148836342, -0.24040484727622002, 0.055588547028755105, 0.1393815576741549, 0.13486121981289267, -0.1270946533359541, -0.29203123573506296, 0.02130526876363765, -0.1467045664186936, -0.11619599973244116, -0.0856637194789554, -0.00438673264724164, -0.0006499610882644996, -0.2819152462396247, 0.0699760290274054, 0.04844993988363734, 0.08285818522418888, -0.08212769292064073, -0.1073489787590051, -0.06851922625325589, 0.13091093808227827, 0.03216203772231998, 0.06691385317047334, 0.15654493806006248, -0.10828969401522917, -0.10711537654057515, 0.40881197126043484, -0.020945560091852465, -0.08722930452363058, 0.23471089363990982, -0.20702869446444505, -0.10895022034090905, 0.1768177969569787, 0.1798975501509676, 0.1337569806386124, -0.12329675379586368, 0.03949257355685584, 0.0412537714635784, 0.17005018796964186, 0.010093118179558722, 0.08743195262283457, 0.26148489365461935, 0.22393202218265573, 0.024287401152051184, 0.11960969583135221, -0.10186081878942065, -0.08602166860094987, -0.21290591583887408, -0.1901565114005415, -0.19328249249730475, 0.018773388857414468, -0.06668317038144951, -0.21101963432690451, 0.39218539005715, 0.13160979934325365, 0.19196811035152309, -0.1608668188930081, 0.19512615497955235, 0.03501737949896357, 0.055443274099206595, -0.007766339877882033, 0.23601801017076085, 0.10367507630697459, 0.13137403415123478, -0.22349015953334833, 0.14389726419525206, 0.03713755982000504] |
710.2279 | Unit Rectangle Visibility Graphs | Over the past twenty years, rectangle visibility graphs have generated
considerable interest, in part due to their applicability to VLSI chip design.
Here we study unit rectangle visibility graphs, with fixed dimension
restrictions more closely modeling the constrained dimensions of gates and
other circuit components in computer chip applications. A graph $G$ is a unit
rectangle visibility graph (URVG) if its vertices can be represented by closed
unit squares in the plane with sides parallel to the axes and pairwise disjoint
interiors, in such a way that two vertices are adjacent if and only if there is
a non-degenerate horizontal or vertical band of visibility joining the two
rectangles. Our results include necessary and sufficient conditions for $K_n$,
$K_{m,n}$, and trees to be URVGs, as well as a number of general edge bounds.
| math.CO | over the past twenty years rectangle visibility graphs have generated considerable interest in part due to their applicability to vlsi chip design here we study unit rectangle visibility graphs with fixed dimension restrictions more closely modeling the constrained dimensions of gates and other circuit components in computer chip applications a graph g is a unit rectangle visibility graph urvg if its vertices can be represented by closed unit squares in the plane with sides parallel to the axes and pairwise disjoint interiors in such a way that two vertices are adjacent if and only if there is a nondegenerate horizontal or vertical band of visibility joining the two rectangles our results include necessary and sufficient conditions for k_n k_mn and trees to be urvgs as well as a number of general edge bounds | [['over', 'the', 'past', 'twenty', 'years', 'rectangle', 'visibility', 'graphs', 'have', 'generated', 'considerable', 'interest', 'in', 'part', 'due', 'to', 'their', 'applicability', 'to', 'vlsi', 'chip', 'design', 'here', 'we', 'study', 'unit', 'rectangle', 'visibility', 'graphs', 'with', 'fixed', 'dimension', 'restrictions', 'more', 'closely', 'modeling', 'the', 'constrained', 'dimensions', 'of', 'gates', 'and', 'other', 'circuit', 'components', 'in', 'computer', 'chip', 'applications', 'a', 'graph', 'g', 'is', 'a', 'unit', 'rectangle', 'visibility', 'graph', 'urvg', 'if', 'its', 'vertices', 'can', 'be', 'represented', 'by', 'closed', 'unit', 'squares', 'in', 'the', 'plane', 'with', 'sides', 'parallel', 'to', 'the', 'axes', 'and', 'pairwise', 'disjoint', 'interiors', 'in', 'such', 'a', 'way', 'that', 'two', 'vertices', 'are', 'adjacent', 'if', 'and', 'only', 'if', 'there', 'is', 'a', 'nondegenerate', 'horizontal', 'or', 'vertical', 'band', 'of', 'visibility', 'joining', 'the', 'two', 'rectangles', 'our', 'results', 'include', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'k_n', 'k_mn', 'and', 'trees', 'to', 'be', 'urvgs', 'as', 'well', 'as', 'a', 'number', 'of', 'general', 'edge', 'bounds']] | [-0.1511235537162079, 0.1182055325133598, 0.022142788430054686, -0.023945095051321707, -0.10283588694820878, -0.15861891643748482, 0.04308926580182298, 0.4606190833426614, -0.26215328449625097, -0.31868371255127076, 0.14766578028646818, -0.2985561758933859, -0.1355343214253973, 0.17478012070166415, -0.10533095418319163, 0.052152929485878616, 0.1319520909069035, 0.0480817471069234, 0.0013270424518961716, -0.2885390216051885, 0.2600470079848443, -0.06205340041174688, 0.21318177704855742, 0.08145632588069972, 0.055598534533455396, 0.017463646846901597, 0.0249416516748975, 0.09737990111226344, -0.1412908085606897, 0.09188695734665367, 0.2563209311027108, 0.14225031884621744, 0.2440185663316982, -0.4590620617346682, -0.15024218033601083, 0.17472527132063875, 0.16519085418802637, 0.008886220879170275, 2.394304626340487e-05, -0.2147739986562035, 0.07722165490294458, -0.08705251275042769, -0.09238070628129458, 0.013029472389656568, 0.10287976392921601, 0.0031188275551295463, -0.24562740160991217, -0.04085518037260489, 0.10262044094847729, 0.07372182833372068, 0.0733807387944837, -0.1418481268217958, -0.06404820210762492, 0.14578762796319994, -0.05300261114034375, 0.06256507997017155, 0.09031988362931, -0.08538603428075843, -0.1667826243130604, 0.37848512515183963, 0.008502639901205783, -0.22482619777087207, 0.15581247971201215, -0.16565376205668866, -0.12113956899119128, 0.095102695342978, 0.1534771274291832, 0.0916875732230833, -0.12014101869391121, 0.09407741712976801, -0.07649605366835044, 0.11822976913562627, 0.16076919242547724, 0.03837354749108786, 0.24038529101553024, 0.12661362589400915, 0.1428445039866541, 0.17397619894828348, -0.05648992986610259, -0.056859231895219735, -0.28015336805229424, -0.11860140640189061, -0.22967847064937258, 0.017877608866480585, -0.1339340886408383, -0.20239662198360497, 0.39257962262357465, 0.0791600555686266, 0.22367884185278916, 0.05974723062769489, 0.3291623652948223, 0.07385707374365347, 0.12866500197582742, 0.1349864228582365, 0.1337490914361054, 0.17658064879996005, -0.01442087199698906, -0.11730287614712165, 0.014537223991546923, 0.06913216802725242] |
710.228 | Hydrodynamical modeling of the deconfinement phase transition and
explosive hadronization | Dynamics of relativistic heavy-ion collisions is investigated on the basis of
a simple (1+1)-dimensional hydrodynamical model in light-cone coordinates. The
main emphasis is put on studying sensitivity of the dynamics and observables to
the equation of state and initial conditions. Low sensitivity of pion rapidity
spectra to the presence of the phase transition is demonstrated, and some
inconsistencies of the equilibrium scenario are pointed out. Possible
non-equilibrium effects are discussed, in particular, a possibility of an
explosive disintegration of the deconfined phase into quark-gluon droplets.
Simple estimates show that the characteristic droplet size should decrease with
increasing the collective expansion rate. These droplets will hadronize
individually by emitting hadrons from the surface. This scenario should reveal
itself by strong non-statistical fluctuations of observables.
| hep-ph nucl-th | dynamics of relativistic heavyion collisions is investigated on the basis of a simple 11dimensional hydrodynamical model in lightcone coordinates the main emphasis is put on studying sensitivity of the dynamics and observables to the equation of state and initial conditions low sensitivity of pion rapidity spectra to the presence of the phase transition is demonstrated and some inconsistencies of the equilibrium scenario are pointed out possible nonequilibrium effects are discussed in particular a possibility of an explosive disintegration of the deconfined phase into quarkgluon droplets simple estimates show that the characteristic droplet size should decrease with increasing the collective expansion rate these droplets will hadronize individually by emitting hadrons from the surface this scenario should reveal itself by strong nonstatistical fluctuations of observables | [['dynamics', 'of', 'relativistic', 'heavyion', 'collisions', 'is', 'investigated', 'on', 'the', 'basis', 'of', 'a', 'simple', '11dimensional', 'hydrodynamical', 'model', 'in', 'lightcone', 'coordinates', 'the', 'main', 'emphasis', 'is', 'put', 'on', 'studying', 'sensitivity', 'of', 'the', 'dynamics', 'and', 'observables', 'to', 'the', 'equation', 'of', 'state', 'and', 'initial', 'conditions', 'low', 'sensitivity', 'of', 'pion', 'rapidity', 'spectra', 'to', 'the', 'presence', 'of', 'the', 'phase', 'transition', 'is', 'demonstrated', 'and', 'some', 'inconsistencies', 'of', 'the', 'equilibrium', 'scenario', 'are', 'pointed', 'out', 'possible', 'nonequilibrium', 'effects', 'are', 'discussed', 'in', 'particular', 'a', 'possibility', 'of', 'an', 'explosive', 'disintegration', 'of', 'the', 'deconfined', 'phase', 'into', 'quarkgluon', 'droplets', 'simple', 'estimates', 'show', 'that', 'the', 'characteristic', 'droplet', 'size', 'should', 'decrease', 'with', 'increasing', 'the', 'collective', 'expansion', 'rate', 'these', 'droplets', 'will', 'hadronize', 'individually', 'by', 'emitting', 'hadrons', 'from', 'the', 'surface', 'this', 'scenario', 'should', 'reveal', 'itself', 'by', 'strong', 'nonstatistical', 'fluctuations', 'of', 'observables']] | [-0.1396573981633637, 0.24682098032816263, -0.17187463343559908, 0.0917901738898874, -0.013433725550407317, -0.08039921200625992, 0.014542861088232054, 0.33163650818471985, -0.21754356148099996, -0.22358220262922407, 0.03836919682486573, -0.29626659377349346, -0.03895957382183855, 0.13066256786242308, 0.013935401187679632, 0.05254307177250948, 0.08045287474391724, 0.0061828067651154795, -0.06681356426909077, -0.2016551052061041, 0.339276572384652, 0.11418196085719316, 0.2764457140526757, 0.11725133142577923, 0.06695498478394456, -0.03996996324494239, -0.022657910469783153, 0.03826907852558586, -0.14413404724461534, 9.76905422152694e-05, 0.20059945734740212, 0.0663798571397679, 0.20317344921186747, -0.4372397994516584, -0.24271245024401725, 0.08538460940675341, 0.16199123813407268, 0.13162395718499897, -0.05805766041299737, -0.2929633964606508, 0.02517729173452268, -0.17811380265842805, -0.19627462841600665, -0.07577501767413403, 0.03149004414586759, 0.04502004162385696, -0.23317261205085107, 0.09512512540687026, 0.028413485832194368, 0.028319860149810954, -0.035382835345903065, -0.11163916523621334, -0.06585269971425092, 0.05735457500791162, 0.07541239061449631, 0.02368893694867024, 0.19556742603701305, -0.162631693329734, -0.07047423508351411, 0.40435910555041904, -0.012247690431228498, -0.13772639530006706, 0.17162406422780843, -0.21629518692237817, -0.11748670397053768, 0.17159060310057508, 0.1822284717355075, 0.09585300142445215, -0.1598644703645562, 0.02942852193855953, -0.008907386192643061, 0.1525124765845485, 0.041734150504859964, 0.0647560868893061, 0.26201814526646605, 0.18576966672643594, -0.03350437899703175, 0.1488459601248728, -0.07505028494595875, -0.15525830248645242, -0.36433055945407083, -0.09916470280083699, -0.13504613592190956, 0.05732749663747665, -0.10215337605727173, -0.1183156799260012, 0.36047725899266153, 0.1325290170536051, 0.22052639412761824, -0.05378189242096633, 0.2628070431367714, 0.09674675864682389, -0.008312915580544046, 0.036206882284212163, 0.2859824659216229, 0.1636112236807774, 0.11266938926765886, -0.29049745583868913, 0.06429257444238548, 0.07262972861384534] |
710.2281 | Non-linear Lie conformal algebras with three generators | We classify certain non-linear Lie conformal algebras with three generators,
which can be viewed as deformations of the current Lie conformal algebra of
sl_2. In doing so we discover an interesting 1-parameter family of non-linear
Lie conformal algebras R_{-1}^d and the corresponding freely generated vertex
algebras V_{-1}^d, which includes for d=1 the affine vertex algebra of sl_2 at
the critical level k=-2. We construct free-field realizations of the algebras
V_{-1}^d extending the Wakimoto realization of the affine vertex algebra of
sl_2 at the critical level, and we compute their Zhu algebras.
| math-ph math.MP math.QA | we classify certain nonlinear lie conformal algebras with three generators which can be viewed as deformations of the current lie conformal algebra of sl_2 in doing so we discover an interesting 1parameter family of nonlinear lie conformal algebras r_1d and the corresponding freely generated vertex algebras v_1d which includes for d1 the affine vertex algebra of sl_2 at the critical level k2 we construct freefield realizations of the algebras v_1d extending the wakimoto realization of the affine vertex algebra of sl_2 at the critical level and we compute their zhu algebras | [['we', 'classify', 'certain', 'nonlinear', 'lie', 'conformal', 'algebras', 'with', 'three', 'generators', 'which', 'can', 'be', 'viewed', 'as', 'deformations', 'of', 'the', 'current', 'lie', 'conformal', 'algebra', 'of', 'sl_2', 'in', 'doing', 'so', 'we', 'discover', 'an', 'interesting', '1parameter', 'family', 'of', 'nonlinear', 'lie', 'conformal', 'algebras', 'r_1d', 'and', 'the', 'corresponding', 'freely', 'generated', 'vertex', 'algebras', 'v_1d', 'which', 'includes', 'for', 'd1', 'the', 'affine', 'vertex', 'algebra', 'of', 'sl_2', 'at', 'the', 'critical', 'level', 'k2', 'we', 'construct', 'freefield', 'realizations', 'of', 'the', 'algebras', 'v_1d', 'extending', 'the', 'wakimoto', 'realization', 'of', 'the', 'affine', 'vertex', 'algebra', 'of', 'sl_2', 'at', 'the', 'critical', 'level', 'and', 'we', 'compute', 'their', 'zhu', 'algebras']] | [-0.18190280770820177, 0.09488216121017205, -0.006876891970718175, 0.034242496229289626, -0.1847172147133963, -0.17710793475630912, -0.0776616766881407, 0.3377130151297269, -0.3673820818991536, -0.17988245526140326, 0.13065482282440774, -0.24768703610876971, -0.15457527118661765, 0.1633775940981139, -0.09290652588177263, -0.03533338666422648, 0.00605043096028352, 0.17225214786660137, -0.151023239156315, -0.2871983465790916, 0.40734880941846735, 0.015510779373829118, 0.21632065572200365, -0.020557299109824588, 0.17090200198542202, 0.05187038792129815, -0.004305078668959355, -0.04118936639174484, -0.1976212536539422, 0.09877264944658604, 0.3652968519273099, 0.01945276437013337, 0.15709411036327817, -0.34352257206324444, -0.05480431113130507, 0.16700002644211054, 0.19173068168123117, 0.09885125531647564, -8.59341019073899e-06, -0.2709368333335589, 0.03171851816508668, -0.2276252379714187, -0.19435405345068554, -0.06405044862937727, 0.03150122354246592, -0.058104028632299284, -0.20983816273091885, 0.02264027131114448, 0.07477524671494291, 0.1705565656524863, -0.06644152978623516, -0.10518878494818391, -0.16126742118739346, 0.09441445820200979, -0.1252080105621828, 0.028648982131252002, 0.17529641290122036, -0.13168813376111932, -0.2343903716988443, 0.34679238013910085, 0.03216648663739475, -0.19386960041782494, 0.10148715398410398, -0.20961335189431235, -0.2390532433120743, 0.061009680799972474, 0.053870779158694024, 0.09489526048177079, -0.06711130397750086, 0.23991856977129042, -0.09755077010041542, -0.07884869902666784, 0.09848550253997693, 0.009216713300498013, 0.1740998218903381, 0.07816054577824105, 0.036462150723411794, 0.1554236478237481, 0.07608021913473023, -0.016304402748185596, -0.4385443352832553, -0.14970864681003804, -0.06186091982539785, 0.15320658758073374, -0.1458766444221929, -0.17116005923285077, 0.4676095321722161, 0.16336969127947218, 0.18875699992595094, 0.13254975187173637, 0.095801168069076, 0.14836645156558437, 0.2241922561053103, 0.08727522987056147, 0.12920113125543917, 0.24707521573546226, -0.06253611172282587, -0.16074638538523, -0.1732893056992253, 0.2482727124052269] |
710.2282 | On crossed product rings with twisted involutions, their module
categories and L-theory | We study the Farrell-Jones Conjecture with coefficients in an additive
G-category with involution. This is a variant of the L-theoretic Farrell-Jones
Conjecture which originally deals with group rings with the standard
involution. We show that this formulation of the conjecture can be applied to
crossed product rings R*G equipped with twisted involutions and automatically
implies the a priori more general fibered version.
| math.KT | we study the farrelljones conjecture with coefficients in an additive gcategory with involution this is a variant of the ltheoretic farrelljones conjecture which originally deals with group rings with the standard involution we show that this formulation of the conjecture can be applied to crossed product rings rg equipped with twisted involutions and automatically implies the a priori more general fibered version | [['we', 'study', 'the', 'farrelljones', 'conjecture', 'with', 'coefficients', 'in', 'an', 'additive', 'gcategory', 'with', 'involution', 'this', 'is', 'a', 'variant', 'of', 'the', 'ltheoretic', 'farrelljones', 'conjecture', 'which', 'originally', 'deals', 'with', 'group', 'rings', 'with', 'the', 'standard', 'involution', 'we', 'show', 'that', 'this', 'formulation', 'of', 'the', 'conjecture', 'can', 'be', 'applied', 'to', 'crossed', 'product', 'rings', 'rg', 'equipped', 'with', 'twisted', 'involutions', 'and', 'automatically', 'implies', 'the', 'a', 'priori', 'more', 'general', 'fibered', 'version']] | [-0.21969393687886035, 0.07047692484493676, -0.12792908180234652, 0.032760359277392945, -0.11663450778371864, -0.18431394614820037, -0.06124383781946475, 0.3414923105869562, -0.3397133869509543, -0.25627281797689294, 0.09706540845311998, -0.21870700626318612, -0.1750372893762805, 0.1865125403649384, -0.21728616063633271, -0.032674640116672364, 0.07709730913742416, 0.05393594091818217, -0.09627453654332296, -0.3132416601893642, 0.3966779963323666, 0.01278316611123662, 0.19852872098976326, 0.06568123723357736, 0.06443180861852822, 0.05016161759774531, -0.0361546101874762, 0.01686394719346877, -0.1511255850037419, 0.1551533891620385, 0.25121205594510804, 0.008113958767705386, 0.16237694818165996, -0.3766148243279707, -0.11806490103293571, 0.17239396099842363, 0.06841030529880475, 0.02116722361824941, -0.062147654187180205, -0.2789891122149364, 0.13339301275329724, -0.2330049677421489, -0.20896329377747833, -0.022786017537357345, 0.000921989475647288, -0.012645544735865006, -0.29377233540459025, 0.01366710054477857, 0.11327570562641467, 0.1008927644823768, -0.047128563311191335, -0.04221325474152822, -0.011913499922581738, 0.04182596533228793, 0.025392950726522794, 0.03767366318460254, 0.05661638574524512, -0.046325235755272934, -0.1515993496455673, 0.36369720894482827, -0.11284468555822968, -0.21824597388566022, 0.10703766679075817, -0.1272630291960893, -0.21075667478444596, 0.1065497438032781, 0.030146652231774023, 0.16976558429098898, -0.049806725188729264, 0.15457112314986937, -0.23922680187669973, 0.12227823819604612, 0.11716829495684754, -0.06868764826738756, 0.14271387626837578, 0.0588892291810724, 0.10211311800465468, 0.1824553137956818, 0.05246383222120424, -0.02354555727253037, -0.31519735879414984, -0.23103832216903328, -0.04622479437309648, 0.16432505420919868, -0.06900111440876161, -0.155115858441399, 0.3347548487926683, 0.11027911038798911, 0.14228961431992151, 0.15529244249093258, 0.22510038125478932, 0.07462231613575451, 0.10209699314568312, 0.07882918541379753, 0.09584658666543903, 0.2652435105654501, -0.04421543577806123, -0.14393647729359085, -0.03454821529768167, 0.22858162366995408] |
710.2283 | Phenomenological study of the electronic transport coefficients of
graphene | Using a semi-classical approach and input from experiments on the
conductivity of graphene, we determine the electronic density dependence of the
electronic transport coefficients -- conductivity, thermal conductivity and
thermopower -- of doped graphene. Also the electronic density dependence of the
optical conductivity is obtained. Finally we show that the classical Hall
effect (low field) in graphene has the same form as for the independent
electron case, characterized by a parabolic dispersion, as long as the
relaxation time is proportional to the momentum.
| cond-mat.mes-hall | using a semiclassical approach and input from experiments on the conductivity of graphene we determine the electronic density dependence of the electronic transport coefficients conductivity thermal conductivity and thermopower of doped graphene also the electronic density dependence of the optical conductivity is obtained finally we show that the classical hall effect low field in graphene has the same form as for the independent electron case characterized by a parabolic dispersion as long as the relaxation time is proportional to the momentum | [['using', 'a', 'semiclassical', 'approach', 'and', 'input', 'from', 'experiments', 'on', 'the', 'conductivity', 'of', 'graphene', 'we', 'determine', 'the', 'electronic', 'density', 'dependence', 'of', 'the', 'electronic', 'transport', 'coefficients', 'conductivity', 'thermal', 'conductivity', 'and', 'thermopower', 'of', 'doped', 'graphene', 'also', 'the', 'electronic', 'density', 'dependence', 'of', 'the', 'optical', 'conductivity', 'is', 'obtained', 'finally', 'we', 'show', 'that', 'the', 'classical', 'hall', 'effect', 'low', 'field', 'in', 'graphene', 'has', 'the', 'same', 'form', 'as', 'for', 'the', 'independent', 'electron', 'case', 'characterized', 'by', 'a', 'parabolic', 'dispersion', 'as', 'long', 'as', 'the', 'relaxation', 'time', 'is', 'proportional', 'to', 'the', 'momentum']] | [-0.11957444711070922, 0.1577848966842816, -0.08786967332348411, -0.02641623710098182, -0.025149996165347136, -0.10016437078377714, 0.04240594816647102, 0.3599448449403783, -0.29917686556776363, -0.24629396200180054, 0.034689541825633725, -0.3276442883099303, -0.15555139137776913, 0.22622835875868244, 0.037536514816621756, 0.07571931324761223, -0.037852686223355525, -0.023567992837432727, -0.09153581401160746, -0.20525141577753755, 0.2719011712520395, 0.05448313825476317, 0.33145279871920746, 0.1306493113760227, 0.08478025848298897, 0.05336244908494898, 0.07928947146614025, 0.10175936102269241, -0.14422192980787202, 0.03722241626661501, 0.22091826351279, -0.14882505192059556, 0.1985342424293911, -0.45467664214012066, -0.20891641183859772, -0.03299220806608597, 0.10864259476233044, 0.1439580155197347, -0.0484769529171495, -0.19343603926388847, 0.017166845701680877, -0.15024821704575492, -0.11269632739842766, -0.08798445151819859, 0.03765484297009944, 0.003281755441868747, -0.22493707202374935, 0.1609363271146984, -0.009626411827120148, 0.04105162477971595, -0.1359764798026946, -0.165427360629065, -0.08237552158764483, 0.07717385630548736, 0.06890279620908844, -0.009931050938048205, 0.21290753259794948, -0.13498202574519833, -0.09164001667343172, 0.38826135145845236, -0.13338825013847838, -0.1462488013699099, 0.11435280184916875, -0.22362821530205784, -0.026457489830338292, 0.12728488287474546, 0.11537753986079752, 0.07296283044104959, -0.13613528680102324, 0.11380843974737577, -0.0733443422122272, 0.1433405023280899, 0.06375883145683249, 0.1353007257272156, 0.20054239784309894, 0.18666089145627654, 0.03156162960523808, 0.15357446537157635, -0.139944964453555, 0.029590323245451775, -0.2279414414991567, -0.18934662051406909, -0.28860769274840015, 0.15169992808965438, -0.10126199940597512, -0.2106244103109211, 0.44708288453783795, 0.15609717627421, 0.19421343956096673, 0.0013312440319561663, 0.2869533452745757, 0.22166178648699258, 0.06217111037745152, 0.07310956969309633, 0.2290002257436698, 0.19339196478522577, 0.13429185912806402, -0.36478022378179487, 0.06698985895670859, 0.014978323001012114] |
710.2284 | Symmetric and Synchronous Communication in Peer-to-Peer Networks | Motivated by distributed implementations of game-theoretical algorithms, we
study symmetric process systems and the problem of attaining common knowledge
between processes. We formalize our setting by defining a notion of
peer-to-peer networks(*) and appropriate symmetry concepts in the context of
Communicating Sequential Processes (CSP), due to the common knowledge creating
effects of its synchronous communication primitives. We then prove that CSP
with input and output guards makes common knowledge in symmetric peer-to-peer
networks possible, but not the restricted version which disallows output
statements in guards and is commonly implemented.
(*) Please note that we are not dealing with fashionable incarnations such as
file-sharing networks, but merely use this name for a mathematical notion of a
network consisting of directly connected peers "treated on an equal footing",
i.e. not having a client-server structure or otherwise pre-determined roles.)
| cs.DC cs.GT | motivated by distributed implementations of gametheoretical algorithms we study symmetric process systems and the problem of attaining common knowledge between processes we formalize our setting by defining a notion of peertopeer networks and appropriate symmetry concepts in the context of communicating sequential processes csp due to the common knowledge creating effects of its synchronous communication primitives we then prove that csp with input and output guards makes common knowledge in symmetric peertopeer networks possible but not the restricted version which disallows output statements in guards and is commonly implemented please note that we are not dealing with fashionable incarnations such as filesharing networks but merely use this name for a mathematical notion of a network consisting of directly connected peers treated on an equal footing ie not having a clientserver structure or otherwise predetermined roles | [['motivated', 'by', 'distributed', 'implementations', 'of', 'gametheoretical', 'algorithms', 'we', 'study', 'symmetric', 'process', 'systems', 'and', 'the', 'problem', 'of', 'attaining', 'common', 'knowledge', 'between', 'processes', 'we', 'formalize', 'our', 'setting', 'by', 'defining', 'a', 'notion', 'of', 'peertopeer', 'networks', 'and', 'appropriate', 'symmetry', 'concepts', 'in', 'the', 'context', 'of', 'communicating', 'sequential', 'processes', 'csp', 'due', 'to', 'the', 'common', 'knowledge', 'creating', 'effects', 'of', 'its', 'synchronous', 'communication', 'primitives', 'we', 'then', 'prove', 'that', 'csp', 'with', 'input', 'and', 'output', 'guards', 'makes', 'common', 'knowledge', 'in', 'symmetric', 'peertopeer', 'networks', 'possible', 'but', 'not', 'the', 'restricted', 'version', 'which', 'disallows', 'output', 'statements', 'in', 'guards', 'and', 'is', 'commonly', 'implemented', 'please', 'note', 'that', 'we', 'are', 'not', 'dealing', 'with', 'fashionable', 'incarnations', 'such', 'as', 'filesharing', 'networks', 'but', 'merely', 'use', 'this', 'name', 'for', 'a', 'mathematical', 'notion', 'of', 'a', 'network', 'consisting', 'of', 'directly', 'connected', 'peers', 'treated', 'on', 'an', 'equal', 'footing', 'ie', 'not', 'having', 'a', 'clientserver', 'structure', 'or', 'otherwise', 'predetermined', 'roles']] | [-0.15290413669965885, 0.051422068101668696, -0.026383193037300197, 0.07470226337044787, -0.13601925999736758, -0.20034286972756188, 0.10330675875561104, 0.39008165430277586, -0.3154981974305378, -0.28663244804160465, 0.09235318091059863, -0.2263662287723963, -0.17122435568555913, 0.11704708871914557, -0.14418779610466487, 0.03400784963008913, 0.05578472585658784, 0.058812044136640096, -0.02916207637754269, -0.24015333237367922, 0.3529761010213945, 0.008156499559818595, 0.2791278538863278, 0.011297728481737, 0.08647624339425454, 0.05153075229221334, -0.04380315135371078, 0.01335746400506684, -0.06591279163182696, 0.12787690535101487, 0.30762535065619484, 0.21256833319483256, 0.32306521277081357, -0.4705733153141207, -0.18470987043929873, 0.16392118330630992, 0.13958591028565057, 0.10439258940707616, -0.011281476962311123, -0.28244274519383905, 0.09404673756065744, -0.19608643201041828, -0.09948742026118217, -0.04589615367456443, -0.0029930473891673264, 0.007733632500835315, -0.26727157400929613, -0.01624319362820609, 0.12485229376513787, 0.06533514053250353, -0.006618801375885529, -0.0681177784309343, 0.009613459210635887, 0.1299048303824815, -0.012695766252646637, -0.019197111906207823, 0.12790991308391783, -0.11709552091822305, -0.2009258551971504, 0.41045914264395833, 0.023251648371418316, -0.21834396138028414, 0.2018521097212754, -0.006179764966859862, -0.1652138173131755, 0.0303797975320507, 0.19085683733293857, 0.11397234014476891, -0.18588642306599973, 0.06404003115129416, -0.0714132401022922, 0.17830823758289355, 0.09958338981356334, 0.0800503823492262, 0.17649196720018087, 0.1881568625845291, 0.07173341647894294, 0.12875473452731967, 0.044111290058828204, -0.1647793710943208, -0.25635467141659724, -0.10696025484551987, -0.18637082784229683, 0.014365424709373015, -0.04157457492719577, -0.1929794330443083, 0.3428696161136031, 0.16093058468842947, 0.14531769439302109, 0.09879961821543812, 0.3417984716007831, 0.030978917151137635, 0.10167670947741027, 0.1327586391992453, 0.1503921180670322, 0.09051716312835062, 0.120120094983873, -0.08849124296566178, 0.15736792534934702, 0.03825158515807103] |
710.2285 | Comment on "Modified Coulomb Law in a Strongly Magnetized Vacuum" | This is a comment on Phys. Rev. Lett. 98, 180403 (2007) [arXiv:0704.2162].
| astro-ph hep-ph hep-th | this is a comment on phys rev lett 98 180403 2007 arxiv07042162 | [['this', 'is', 'a', 'comment', 'on', 'phys', 'rev', 'lett', '98', '180403', '2007', 'arxiv07042162']] | [-0.05500625996765765, 0.046946324238722976, 0.051162081050940535, -0.42028665813532745, -0.1693514505909248, 0.015884691383689642, 0.27155211161483417, 0.2563641710545529, 0.30784489485350525, -0.40682548318396916, -0.22220526898110454, -0.28843371400778944, -0.3361802107908509, 0.23292416605082425, -0.45969709914854984, -0.08140344206582416, 0.02838483164933595, -0.21664755486629225, -0.07550191168080676, -0.4986253241923722, -0.19209852137348868, 0.29299903491681273, 0.40253137255256827, 0.24581656012345443, 0.0401157371445813, 0.1541916263205084, -0.024936936457048763, -0.17133221944624727, -0.39219999609684403, -0.14420449826866388, 0.06572155408899892, 0.05960344671356407, 0.2855368298055096, -0.2701045335693793, -0.29032310301607306, 0.14778619843789123, -0.26311092925342644, 0.19361154667355798, 0.22631254058796912, -0.6140136732296511, 0.02650416932407428, -0.3639900704676455, -0.047807053197175264, -0.2529845567928119, 0.4685253631323576, -0.08312512242065911, -0.3333260047842156, 0.41201699685982685, 0.05759961090304635, 0.05324362144297497, 0.23142785697498106, 0.005505834960124709, -0.02080436592752283, -0.4438634488138963, -0.20193592029285024, 0.2788320676508275, 0.057379397309639237, 0.21377010647715491, -0.20838753201744772, 0.26557664099064743, 0.06376909678378566, -0.11199327829209241, 0.38526179014959117, -0.030501009134406395, -0.17934451590884815, -0.010924718935381283, 0.2082818111574108, 0.2751470932906324, -0.27520893988284195, 0.3019351839849895, -0.31736791269345715, 0.14933529309928417, 0.30126454088498245, -0.07262582960770074, 0.1320589870553125, 0.05829122984273867, -0.3057787925512953, -0.007310962135141546, -0.1675660018174147, -0.09217991138046439, -0.35364586927674035, -0.266518673774871, -0.2656759950755672, 0.24111674531278285, 0.33282142657447944, -0.013550044122067366, 0.4294121875004335, 0.27539882013066247, 0.44986617361957376, -0.13344929909164255, 0.00887903097000989, 0.054188731126487255, -0.287288635969162, 0.45605268325148657, 0.3674688095396215, 0.2383700871670788, 0.15310814244333992, -0.1914240234023468, -0.17750126216560602, 0.05115122280337594] |
710.2286 | BCS theory for finite size superconductors | We study finite size effects in superconducting metallic grains and determine
the BCS order parameter and the low energy excitation spectrum in terms of
size, and shape of the grain. Our approach combines the BCS self-consistency
condition, a semiclassical expansion for the spectral density and interaction
matrix elements, and corrections to the BCS mean-field. In chaotic grains
mesoscopic fluctuations of the matrix elements lead to a smooth dependence of
the order parameter on the excitation energy. In the integrable case we observe
shell effects when e.g. a small change in the electron number leads to large
changes in the energy gap.
| cond-mat.supr-con cond-mat.dis-nn cond-mat.mes-hall | we study finite size effects in superconducting metallic grains and determine the bcs order parameter and the low energy excitation spectrum in terms of size and shape of the grain our approach combines the bcs selfconsistency condition a semiclassical expansion for the spectral density and interaction matrix elements and corrections to the bcs meanfield in chaotic grains mesoscopic fluctuations of the matrix elements lead to a smooth dependence of the order parameter on the excitation energy in the integrable case we observe shell effects when eg a small change in the electron number leads to large changes in the energy gap | [['we', 'study', 'finite', 'size', 'effects', 'in', 'superconducting', 'metallic', 'grains', 'and', 'determine', 'the', 'bcs', 'order', 'parameter', 'and', 'the', 'low', 'energy', 'excitation', 'spectrum', 'in', 'terms', 'of', 'size', 'and', 'shape', 'of', 'the', 'grain', 'our', 'approach', 'combines', 'the', 'bcs', 'selfconsistency', 'condition', 'a', 'semiclassical', 'expansion', 'for', 'the', 'spectral', 'density', 'and', 'interaction', 'matrix', 'elements', 'and', 'corrections', 'to', 'the', 'bcs', 'meanfield', 'in', 'chaotic', 'grains', 'mesoscopic', 'fluctuations', 'of', 'the', 'matrix', 'elements', 'lead', 'to', 'a', 'smooth', 'dependence', 'of', 'the', 'order', 'parameter', 'on', 'the', 'excitation', 'energy', 'in', 'the', 'integrable', 'case', 'we', 'observe', 'shell', 'effects', 'when', 'eg', 'a', 'small', 'change', 'in', 'the', 'electron', 'number', 'leads', 'to', 'large', 'changes', 'in', 'the', 'energy', 'gap']] | [-0.1316682409200043, 0.17581290318423162, -0.08357619531544866, 0.08424019945859171, -0.010761538068625596, -0.06528546797148514, 0.05278382852493721, 0.2972262705316638, -0.2488147358197977, -0.2962344424374918, 0.013011192794575696, -0.2992735704646842, -0.06421265348165046, 0.08783609452334666, -0.0077174101047918645, 0.03702703148501494, 0.013185628463910653, -0.0038023321603489393, -0.12772033200714517, -0.18220422276765993, 0.3577528176506483, 0.04895956431616946, 0.2982198934780784, 0.11899284055308983, 0.03177022907680067, -0.0032502360443704493, 0.060225846222832356, 0.03583361079344655, -0.16176784230340827, 0.05694986584702666, 0.2423873074856439, -0.056116411550025835, 0.22820530643705095, -0.46779026622229286, -0.21514849377666959, 0.08265924342161063, 0.1270884346580859, 0.153876066210191, -0.0017310836108051018, -0.2210518874730546, 0.02340755568319323, -0.18818918295610365, -0.1810762803750297, -0.04641626578396057, 0.01748640109130209, 0.03261094967982188, -0.31898563412838793, 0.10891994949208923, 0.04643496638624975, 0.028776503057394286, -0.06913871898103764, -0.10603147480489299, -0.004741956892487879, 0.06463742387938627, 0.04018083511676529, -0.029792343906016264, 0.16601334575858742, -0.12931138235674525, 0.020724229028190273, 0.36419959167147625, -0.08529250954720421, -0.15924290783408254, 0.13981070863728476, -0.1975245699839722, -0.05476330886687161, 0.19232504639202858, 0.14251258740049447, 0.06792099866324501, -0.07464012177963626, 0.13155574642443374, 0.03426881302678312, 0.19251566650438132, 0.02207423604582206, 0.09725938417423184, 0.17427430394114835, 0.1753484624239736, 0.03485853315358705, 0.1260409078809737, -0.13970658605535616, -0.11638231705966415, -0.2899473928615893, -0.1164837242058008, -0.2253902937276381, 0.026162686174514123, -0.15034580240783968, -0.22733200807124376, 0.4298597256293391, 0.14058007783542323, 0.21975599454328565, 0.004991019979156185, 0.2490676700847574, 0.14430748121374942, 0.06960989994522516, 0.05951648338762398, 0.23855637595758283, 0.16080341519474392, 0.08672661397440157, -0.3490233195433854, 0.0377607632930953, 0.0515197916256061] |
710.2287 | Gravitino Dark Matter with Broken R-parity | Scenarios with gravitino dark matter face potential cosmological problems
induced by the presence of the Next-to-Lightest Supersymmetric Particle (NLSP)
at the time of Big Bang Nucleosynthesis (BBN). A very simple, albeit radical,
solution to avoid all these problems consists on assuming that R-parity is
slightly violated, since in this case the NLSP decays well before the onset of
BBN. Remarkably, even if the gravitino is no longer stable in this scenario, it
still constitutes a very promising dark matter candidate. In this talk we
review the motivations for this scenario and we present a model that naturally
generates R-parity breaking parameters of the right size to produce a
consistent thermal history of the Universe, while satisfying at the same time
all the laboratory and cosmological bounds on R-parity breaking. We also
discuss possible signatures of this scenario at gamma ray observatories and at
colliders.
| hep-ph | scenarios with gravitino dark matter face potential cosmological problems induced by the presence of the nexttolightest supersymmetric particle nlsp at the time of big bang nucleosynthesis bbn a very simple albeit radical solution to avoid all these problems consists on assuming that rparity is slightly violated since in this case the nlsp decays well before the onset of bbn remarkably even if the gravitino is no longer stable in this scenario it still constitutes a very promising dark matter candidate in this talk we review the motivations for this scenario and we present a model that naturally generates rparity breaking parameters of the right size to produce a consistent thermal history of the universe while satisfying at the same time all the laboratory and cosmological bounds on rparity breaking we also discuss possible signatures of this scenario at gamma ray observatories and at colliders | [['scenarios', 'with', 'gravitino', 'dark', 'matter', 'face', 'potential', 'cosmological', 'problems', 'induced', 'by', 'the', 'presence', 'of', 'the', 'nexttolightest', 'supersymmetric', 'particle', 'nlsp', 'at', 'the', 'time', 'of', 'big', 'bang', 'nucleosynthesis', 'bbn', 'a', 'very', 'simple', 'albeit', 'radical', 'solution', 'to', 'avoid', 'all', 'these', 'problems', 'consists', 'on', 'assuming', 'that', 'rparity', 'is', 'slightly', 'violated', 'since', 'in', 'this', 'case', 'the', 'nlsp', 'decays', 'well', 'before', 'the', 'onset', 'of', 'bbn', 'remarkably', 'even', 'if', 'the', 'gravitino', 'is', 'no', 'longer', 'stable', 'in', 'this', 'scenario', 'it', 'still', 'constitutes', 'a', 'very', 'promising', 'dark', 'matter', 'candidate', 'in', 'this', 'talk', 'we', 'review', 'the', 'motivations', 'for', 'this', 'scenario', 'and', 'we', 'present', 'a', 'model', 'that', 'naturally', 'generates', 'rparity', 'breaking', 'parameters', 'of', 'the', 'right', 'size', 'to', 'produce', 'a', 'consistent', 'thermal', 'history', 'of', 'the', 'universe', 'while', 'satisfying', 'at', 'the', 'same', 'time', 'all', 'the', 'laboratory', 'and', 'cosmological', 'bounds', 'on', 'rparity', 'breaking', 'we', 'also', 'discuss', 'possible', 'signatures', 'of', 'this', 'scenario', 'at', 'gamma', 'ray', 'observatories', 'and', 'at', 'colliders']] | [-0.12268644276385506, 0.21166127341954658, -0.061344649691212304, 0.16265548976702526, -0.0861725643885115, -0.18023489121373537, 0.006427461925896851, 0.3065378907631384, -0.23445359779806393, -0.30856058918612284, 0.07574213187763235, -0.2684271849995841, -0.014410517792890055, 0.16110989116956867, -0.0015171486674161213, 0.0055791841069650315, 0.08956005462742825, 0.0209773551016244, -0.018539586142045057, -0.2824792590116785, 0.28799343353117973, 0.10308716966311396, 0.16804054587393896, 0.07240181025311661, 0.05642865317107256, -0.0678070135044335, -0.0012169596997814046, -0.06864684494859022, -0.13850026507104, 0.022487349965457624, 0.2163926384657518, 0.154690952201943, 0.17553184031728758, -0.4320218354437707, -0.21357096552674193, 0.2511398571821499, 0.1483960716707063, 0.12803381769238817, -0.13360698442819638, -0.2834881506827919, 0.09546290949704901, -0.19324131880744566, -0.11689989018163437, 0.00103477585556296, 0.006898215606472352, -0.14909045368363472, -0.25084226546783206, 0.1370168768155256, -0.036168935487997565, -0.059986800686197564, -0.0358756820407709, -0.09860679017017698, -0.006949633676817434, -0.04627677066794907, 0.1760596803530158, -0.0366599073507435, 0.13879572997878617, -0.19670088402765235, -0.08771510958710375, 0.4731847582022763, -0.08419445408960907, -0.0913944808319987, 0.18255168485403475, -0.1452914857848858, -0.2293459477627443, 0.10732146434020251, 0.10784731299483813, 0.12597897292451105, -0.13972431581512662, 0.18116824817722468, -0.017973903624806553, 0.16412293867162792, 0.0991417664853442, 0.049329454411539096, 0.33267766404322985, 0.23315620290425917, 0.0982843440304148, 0.03540663908319806, -0.029327831201953813, -0.07860297862235813, -0.4293475114649886, -0.10369691345840693, -0.11516361323528043, 0.03130472552877311, -0.08516409367732397, -0.10305716842332105, 0.3887318673918748, 0.14829318233791533, 0.22761098170627114, 0.05970991805305756, 0.3278416544134315, 0.01999143623915087, 0.02429448721361243, 0.0355423680998178, 0.2849674442032766, 0.05817413600420372, 0.13935679370802567, -0.2295483150099042, 0.052134963787264295, 0.013880146919594457] |
710.2288 | VERITAS Data Acquisition | VERITAS employs a multi-stage data acquisition chain that extends from the
VME readout of custom 500 MS/s flash ADC electronics to the construction of
telescope events and ultimately the compilation of information from each
telescope into array level data. These systems provide access to the
programming of the channel level triggers and the FADCs. They also ensure the
proper synchronization of event information across the array and provide the
first level of data quality monitoring. Additionally, the data acquisition
includes features to handle the readout of special trigger types and to monitor
channel scaler rates. In this paper we describe the software and hardware
components of the systems and the protocols used to communicate between the
VME, telescope, and array levels. We also discuss the performance of the data
acquisition for array operations.
| astro-ph | veritas employs a multistage data acquisition chain that extends from the vme readout of custom 500 mss flash adc electronics to the construction of telescope events and ultimately the compilation of information from each telescope into array level data these systems provide access to the programming of the channel level triggers and the fadcs they also ensure the proper synchronization of event information across the array and provide the first level of data quality monitoring additionally the data acquisition includes features to handle the readout of special trigger types and to monitor channel scaler rates in this paper we describe the software and hardware components of the systems and the protocols used to communicate between the vme telescope and array levels we also discuss the performance of the data acquisition for array operations | [['veritas', 'employs', 'a', 'multistage', 'data', 'acquisition', 'chain', 'that', 'extends', 'from', 'the', 'vme', 'readout', 'of', 'custom', '500', 'mss', 'flash', 'adc', 'electronics', 'to', 'the', 'construction', 'of', 'telescope', 'events', 'and', 'ultimately', 'the', 'compilation', 'of', 'information', 'from', 'each', 'telescope', 'into', 'array', 'level', 'data', 'these', 'systems', 'provide', 'access', 'to', 'the', 'programming', 'of', 'the', 'channel', 'level', 'triggers', 'and', 'the', 'fadcs', 'they', 'also', 'ensure', 'the', 'proper', 'synchronization', 'of', 'event', 'information', 'across', 'the', 'array', 'and', 'provide', 'the', 'first', 'level', 'of', 'data', 'quality', 'monitoring', 'additionally', 'the', 'data', 'acquisition', 'includes', 'features', 'to', 'handle', 'the', 'readout', 'of', 'special', 'trigger', 'types', 'and', 'to', 'monitor', 'channel', 'scaler', 'rates', 'in', 'this', 'paper', 'we', 'describe', 'the', 'software', 'and', 'hardware', 'components', 'of', 'the', 'systems', 'and', 'the', 'protocols', 'used', 'to', 'communicate', 'between', 'the', 'vme', 'telescope', 'and', 'array', 'levels', 'we', 'also', 'discuss', 'the', 'performance', 'of', 'the', 'data', 'acquisition', 'for', 'array', 'operations']] | [-0.15101472359094628, 0.05182376472433483, -0.044592946892100055, 0.023189642532252447, -0.07158914599147506, -0.16810408775818086, 0.08089820455840292, 0.3856981838668199, -0.251924822331035, -0.3692596235095446, 0.1806433980022312, -0.2739087510066233, -0.07388676994277123, 0.23635107491697585, -0.06261145427500955, 0.03512220589191954, 0.15358166248866714, -0.016318068793656205, -0.0487499416751535, -0.2213242106503786, 0.24049601234719717, 0.15787995600883842, 0.32248585634773835, -0.019347910475181907, 0.176161694190731, 0.01918346894540845, -0.08198126979676404, -0.09380970977918994, -0.07501725066144456, 0.09503704630874825, 0.330831132955233, 0.2160054548552498, 0.19586336528672313, -0.45805626099270985, -0.12475292551172792, 0.04458114211412525, 0.08252443099714801, 0.055153267877132636, -0.00847067912039172, -0.3203778830969608, 0.06562008310277435, -0.2086399957516644, -0.07889170297666599, -0.013360519431307352, -0.05428698854310844, 0.08303707033479796, -0.26214852470456435, -0.04263924909414219, 0.01216434792412403, 0.049269090931778566, -0.04783598344801064, -0.07140623707730408, -0.0004394077302019735, 0.1887061720945053, -0.03647622617864911, -0.010407247649080338, 0.12491827633203868, -0.10220427237472084, -0.10438037906682357, 0.3043708016350165, -0.0027338231290529543, -0.13678307353721975, 0.19613809846219069, -0.12009217460898865, -0.1539731731470254, 0.15106051515427216, 0.2548150719700143, 0.010922279968661698, -0.21716764016090928, 0.0363055832646402, 0.09296067458178316, 0.2463309780127348, 0.04159625210883306, 0.10652172956709781, 0.17585171137313196, 0.2265190655099494, 0.07560795517694126, 0.17374708094543084, -0.20540460809729152, -0.042331756668557464, -0.2850551832803434, -0.16957392277308964, -0.13962357393746033, -0.01688644586348052, -0.032310173058242506, -0.12024382260081855, 0.4212997421846354, 0.1828860240343841, 0.135690636803305, 0.0522830494540775, 0.36564754979698955, 0.02239636921750984, 0.1648254144264567, 0.0549670287050811, 0.16998183279459303, 0.0867684429644474, 0.16877075450326828, -0.2068015777022767, 0.011308411938047274, -0.03366295340351928] |
710.2289 | Decoherence induced by Smith-Purcell radiation | The interaction between charged particles and the vacuum fluctuations of the
electromagnetic field induces decoherence, and therefore affects the contrast
of fringes in an interference experiment. In this article we show that if a
double slit experiment is performed near a conducting grating, the fringe
visibility is reduced. We find that the reduction of contrast is proportional
to the number of grooves in the conducting surface, and that for realistic
values of the parameters it could be large enough to be observed. The effect
can be understood in terms of the Smith-Purcell radiation produced by the
surface currents induced in the conductor.
| quant-ph | the interaction between charged particles and the vacuum fluctuations of the electromagnetic field induces decoherence and therefore affects the contrast of fringes in an interference experiment in this article we show that if a double slit experiment is performed near a conducting grating the fringe visibility is reduced we find that the reduction of contrast is proportional to the number of grooves in the conducting surface and that for realistic values of the parameters it could be large enough to be observed the effect can be understood in terms of the smithpurcell radiation produced by the surface currents induced in the conductor | [['the', 'interaction', 'between', 'charged', 'particles', 'and', 'the', 'vacuum', 'fluctuations', 'of', 'the', 'electromagnetic', 'field', 'induces', 'decoherence', 'and', 'therefore', 'affects', 'the', 'contrast', 'of', 'fringes', 'in', 'an', 'interference', 'experiment', 'in', 'this', 'article', 'we', 'show', 'that', 'if', 'a', 'double', 'slit', 'experiment', 'is', 'performed', 'near', 'a', 'conducting', 'grating', 'the', 'fringe', 'visibility', 'is', 'reduced', 'we', 'find', 'that', 'the', 'reduction', 'of', 'contrast', 'is', 'proportional', 'to', 'the', 'number', 'of', 'grooves', 'in', 'the', 'conducting', 'surface', 'and', 'that', 'for', 'realistic', 'values', 'of', 'the', 'parameters', 'it', 'could', 'be', 'large', 'enough', 'to', 'be', 'observed', 'the', 'effect', 'can', 'be', 'understood', 'in', 'terms', 'of', 'the', 'smithpurcell', 'radiation', 'produced', 'by', 'the', 'surface', 'currents', 'induced', 'in', 'the', 'conductor']] | [-0.1531983547565509, 0.21374254938179066, -0.09192502523507631, 0.04944016511652473, -0.011923384948578827, -0.07220672979932644, -0.001126019464458759, 0.35602959311183763, -0.2480625964646392, -0.3308987945099087, 0.02913220578179165, -0.280039718703312, -0.14498415296696418, 0.19126261198178718, -0.051591707266839766, -0.024265456174165877, 0.06027392383240273, 0.024601134590293262, -0.03379914802430636, -0.19186467176540664, 0.30625040727945996, 0.08915169340759224, 0.2827045282476819, 0.10127581138729903, 0.048750713312377535, 0.01591058510958272, 0.014419162171144112, 0.10206832526726466, -0.08965655637318075, 0.049196000676602125, 0.21604387337563322, 0.02001173293683678, 0.18191625569107048, -0.46166013025989133, -0.1708872526719728, 0.11917332974467974, 0.128439344620953, 0.12025489183553659, -0.04804464097947394, -0.2690863754399413, 0.05878235995495582, -0.13143430333858466, -0.14107093435036494, 0.009900674068679413, -0.007724819352220306, 0.0015186132297065912, -0.2951029027154779, 0.05146463295472238, 0.03997072712438382, 0.019253388001565255, -0.021299313461663676, -0.03642837442092452, -0.013648097512914854, 0.10745708912773076, 0.05504371195018072, 0.048536165909586, 0.1643697268822614, -0.17856399811502985, -0.06532160883002422, 0.3664864087842551, -0.11779364314405065, -0.1877894658303144, 0.1385914598004984, -0.21762661299412595, 0.0037188247809478757, 0.1842363113720043, 0.1404864814534199, 0.0998169996036107, -0.11473731761661303, 0.06806114067462747, -0.03250703917743236, 0.17327727136138243, 0.10773221638930194, 0.04548018160458727, 0.2387876823617547, 0.16853044210367052, 0.04044482180866979, 0.17174544154013524, -0.1630762276951881, -0.03241354033268769, -0.3075071531621849, -0.17461170178527632, -0.1984766713690524, 0.021090890078887564, -0.028473551232737544, -0.1515093484491694, 0.37364703630480695, 0.13801801063156888, 0.18315076925700494, -0.04561157529835826, 0.2958962069276501, 0.12724303170198611, 0.09389431459153545, 0.019725808216368452, 0.32440784017500635, 0.13151626025244376, 0.07465910658185534, -0.30159985874414297, 0.05998558186761597, -0.04816914008309444] |
710.229 | Estimates of multipolar coefficients to search for cosmic ray
anisotropies with non-uniform or partial sky coverage | We study the possibility to extract the multipolar moments of an underlying
distribution from a set of cosmic rays observed with non-uniform or even
partial sky coverage. We show that if the degree is assumed to be upper bounded
by $L$, each multipolar moment can be recovered whatever the coverage, but with
a variance increasing exponentially with the bound $L$ if the coverage is zero
somewhere. Despite this limitation, we show the possibility to test predictions
of a model without any assumption on $L$ by building an estimate of the
covariance matrix seen through the exposure function.
| astro-ph | we study the possibility to extract the multipolar moments of an underlying distribution from a set of cosmic rays observed with nonuniform or even partial sky coverage we show that if the degree is assumed to be upper bounded by l each multipolar moment can be recovered whatever the coverage but with a variance increasing exponentially with the bound l if the coverage is zero somewhere despite this limitation we show the possibility to test predictions of a model without any assumption on l by building an estimate of the covariance matrix seen through the exposure function | [['we', 'study', 'the', 'possibility', 'to', 'extract', 'the', 'multipolar', 'moments', 'of', 'an', 'underlying', 'distribution', 'from', 'a', 'set', 'of', 'cosmic', 'rays', 'observed', 'with', 'nonuniform', 'or', 'even', 'partial', 'sky', 'coverage', 'we', 'show', 'that', 'if', 'the', 'degree', 'is', 'assumed', 'to', 'be', 'upper', 'bounded', 'by', 'l', 'each', 'multipolar', 'moment', 'can', 'be', 'recovered', 'whatever', 'the', 'coverage', 'but', 'with', 'a', 'variance', 'increasing', 'exponentially', 'with', 'the', 'bound', 'l', 'if', 'the', 'coverage', 'is', 'zero', 'somewhere', 'despite', 'this', 'limitation', 'we', 'show', 'the', 'possibility', 'to', 'test', 'predictions', 'of', 'a', 'model', 'without', 'any', 'assumption', 'on', 'l', 'by', 'building', 'an', 'estimate', 'of', 'the', 'covariance', 'matrix', 'seen', 'through', 'the', 'exposure', 'function']] | [-0.10627796445954014, 0.13430553073448742, -0.06137532306854258, 0.06879749101677853, -0.0808252857796387, -0.06937323369988307, 0.06983355070001052, 0.35453949940688523, -0.2902349073094191, -0.3222764419756599, 0.09701832382910952, -0.2770101289989753, -0.0910576810951095, 0.1356849658456583, -0.02349067325751806, -0.02210388768982795, 0.03566095833282572, 0.06338489898624494, -0.07208045401139972, -0.23727580075651483, 0.2910536013774036, 0.08450950764134027, 0.26194954727843556, 0.05116724316510804, 0.08756007614171075, 0.013158804962661155, -0.0354523028525495, 0.025720889852910312, -0.127677994503381, 0.09392314626998507, 0.1839123270714406, 0.1389788255316311, 0.2513688287323283, -0.39355411726174894, -0.21408435811058224, 0.17034671398974263, 0.1433915777381548, 0.07960201923245776, -0.015232495571121803, -0.2705947599882625, 0.12569487935949847, -0.15084670102310765, -0.19576199625897192, -0.019901977316716436, 0.014792232582172783, 0.02335633170195692, -0.31080900848910364, 0.029539108434788037, 0.09712496344192126, 0.04262370047292711, -0.03677259518563287, -0.11512570188755226, -0.024998817177604615, 0.08753399629405095, 0.07360664741064124, 0.054157016253982164, 0.09114771603232193, -0.11424791860963054, -0.050478033990282375, 0.34061426174894127, -0.11054367349319852, -0.2355487583320319, 0.13453999936542252, -0.2353760764655686, -0.07792042651376926, 0.15981089686686845, 0.13676783801584513, 0.07861412796743944, -0.14261203247708143, 0.1163508649051343, -0.03523686486920438, 0.2191314079928375, 0.05769820557907224, 0.008667752338746159, 0.22643711175001466, 0.11199757408893178, 0.12950931835113114, 0.1348697188833594, -0.131750328358282, -0.014263922166194497, -0.3045394245280702, -0.09528101326120038, -0.24877244199520535, 0.09938427879710288, -0.10645491672954618, -0.16104727399717902, 0.3421093436226863, 0.14372342404880628, 0.2464407881357006, 0.10020097479291414, 0.283289575065995, 0.13428238806084936, 0.05072241805052174, 0.09469551293745868, 0.21691677317541747, 0.11754278777906499, 0.010858865773584934, -0.1802258745925597, 0.1289976995783983, 0.011271549701257417] |
710.2291 | Rotating Black Holes in Higher Dimensions | The properties of higher-dimensional black holes can differ significantly
from those of black holes in four dimensions, since neither the uniqueness
theorem, nor the staticity theorem or the topological censorship theorem
generalize to higher dimensions. We first discuss black holes of
Einstein-Maxwell theory and Einstein-Maxwell-Chern-Simons theory with spherical
horizon topology. Here new types of stationary black holes are encountered. We
then discuss nonuniform black strings and present evidence for a horizon
topology changing transition.
| hep-th | the properties of higherdimensional black holes can differ significantly from those of black holes in four dimensions since neither the uniqueness theorem nor the staticity theorem or the topological censorship theorem generalize to higher dimensions we first discuss black holes of einsteinmaxwell theory and einsteinmaxwellchernsimons theory with spherical horizon topology here new types of stationary black holes are encountered we then discuss nonuniform black strings and present evidence for a horizon topology changing transition | [['the', 'properties', 'of', 'higherdimensional', 'black', 'holes', 'can', 'differ', 'significantly', 'from', 'those', 'of', 'black', 'holes', 'in', 'four', 'dimensions', 'since', 'neither', 'the', 'uniqueness', 'theorem', 'nor', 'the', 'staticity', 'theorem', 'or', 'the', 'topological', 'censorship', 'theorem', 'generalize', 'to', 'higher', 'dimensions', 'we', 'first', 'discuss', 'black', 'holes', 'of', 'einsteinmaxwell', 'theory', 'and', 'einsteinmaxwellchernsimons', 'theory', 'with', 'spherical', 'horizon', 'topology', 'here', 'new', 'types', 'of', 'stationary', 'black', 'holes', 'are', 'encountered', 'we', 'then', 'discuss', 'nonuniform', 'black', 'strings', 'and', 'present', 'evidence', 'for', 'a', 'horizon', 'topology', 'changing', 'transition']] | [-0.15773406214508656, 0.13423428070303556, -0.053034373225543545, 0.1948128143149252, -0.08675705470346115, -0.1667531525552575, 0.026328591560642864, 0.2560185153490385, -0.14612092192259593, -0.29595298253352176, 0.13488604518981348, -0.3188154754744893, -0.13767292383567406, 0.16546761868458643, -0.11204741029399196, -0.004378980307248296, -0.04836552251583418, -0.003688991072940061, -0.15181085742959702, -0.24069365478951382, 0.4241672220035783, 0.013742336009100482, 0.2859988843304785, 0.0136098395057677, 0.04705907570550571, 0.033319133786937676, 0.0099842999196561, 0.13003322332342332, -0.19630680808394746, 0.07721034437417984, 0.20807012960918853, 0.1497724700115017, 0.15328131504931072, -0.4910643323249108, -0.24893973313423023, 0.07549198336483962, 0.1348722207397726, 0.20920968987047672, -0.12810023778237756, -0.28825058591728275, 0.13692006155395428, -0.22571532539645764, -0.22232557160188318, -0.061022078945628694, 0.03735202885660771, -0.026127851989774686, -0.1403940868740146, 0.1428370179885344, 0.15671348304966012, -0.08852318877580802, -0.14726741149442624, 0.010357858783036872, -0.06168162279032372, 0.0914503106362866, 0.15595469682641025, -0.030877306286522466, 0.16901853695713184, -0.07787901650157732, -0.23192767663607122, 0.28811321764983033, 0.006810930645647082, -0.18253090167166414, 0.2119738178680072, -0.2677926237543894, -0.15166285774997762, 0.07718915416154305, 0.14850011936112031, 0.25487123872782735, -0.09727854316903127, 0.19697733595180703, -0.0005711405286313715, 0.16461484199641524, 0.19035541037777187, 0.10778566023234178, 0.3919885811408529, 0.06717447420531833, 0.03298913437017315, 0.1797015240818665, -0.002365945209119771, -0.10847082187899866, -0.31083066258076075, -0.13750012525722283, -0.1434919447197604, 0.15034749769079467, -0.20055624779047934, -0.23340726083748647, 0.28203583533900817, 0.09726398197833348, 0.11534974930455556, 0.05135447270161397, 0.19296848179077938, 0.05432924718872921, -0.02853128919377923, 0.12717410413913327, 0.3129665204701391, 0.14699928332875306, 0.14268202609005007, -0.13509002269239392, -0.10169543721083854, 0.1864407677895616] |
710.2292 | Gap generation for Dirac fermions on Lobachevsky plane in a magnetic
field | We study symmetry breaking and gap generation for fermions in the 2D space of
constant negative curvature (the Lobachevsky plane) in an external covariantly
constant magnetic field in a four-fermion model. It is shown that due to the
magnetic and negative curvature catalysis phenomena the critical coupling
constant is zero and there is a symmetry breaking condensate in the chiral
limit even in free theory. We analyze solutions of the gap equation in the
cases of zero, weak, and strong magnetic fields. As a byproduct we calculate
the density of states and the Hall conductivity for noninteracting fermions
that may be relevant for studies of graphene.
| hep-ph cond-mat.mes-hall | we study symmetry breaking and gap generation for fermions in the 2d space of constant negative curvature the lobachevsky plane in an external covariantly constant magnetic field in a fourfermion model it is shown that due to the magnetic and negative curvature catalysis phenomena the critical coupling constant is zero and there is a symmetry breaking condensate in the chiral limit even in free theory we analyze solutions of the gap equation in the cases of zero weak and strong magnetic fields as a byproduct we calculate the density of states and the hall conductivity for noninteracting fermions that may be relevant for studies of graphene | [['we', 'study', 'symmetry', 'breaking', 'and', 'gap', 'generation', 'for', 'fermions', 'in', 'the', '2d', 'space', 'of', 'constant', 'negative', 'curvature', 'the', 'lobachevsky', 'plane', 'in', 'an', 'external', 'covariantly', 'constant', 'magnetic', 'field', 'in', 'a', 'fourfermion', 'model', 'it', 'is', 'shown', 'that', 'due', 'to', 'the', 'magnetic', 'and', 'negative', 'curvature', 'catalysis', 'phenomena', 'the', 'critical', 'coupling', 'constant', 'is', 'zero', 'and', 'there', 'is', 'a', 'symmetry', 'breaking', 'condensate', 'in', 'the', 'chiral', 'limit', 'even', 'in', 'free', 'theory', 'we', 'analyze', 'solutions', 'of', 'the', 'gap', 'equation', 'in', 'the', 'cases', 'of', 'zero', 'weak', 'and', 'strong', 'magnetic', 'fields', 'as', 'a', 'byproduct', 'we', 'calculate', 'the', 'density', 'of', 'states', 'and', 'the', 'hall', 'conductivity', 'for', 'noninteracting', 'fermions', 'that', 'may', 'be', 'relevant', 'for', 'studies', 'of', 'graphene']] | [-0.220940344008169, 0.23710993558669766, -0.02670729959401179, 0.07939750542051492, -0.05863253222251276, -0.12348247559758711, 0.021055622293200908, 0.34945682206032974, -0.24361719998952774, -0.26584278149881735, 0.052382431597062296, -0.2795127988265792, -0.15999304181193266, 0.1284521837468382, 0.04507490935875982, 0.03450686966930077, -0.04487154434241776, 0.04043967702057002, -0.060608487644338245, -0.19594721107102298, 0.35241558348742436, -0.006996173385249556, 0.30010834564718436, 0.15166397983612456, 0.05391901483284837, -0.022844249496833897, 0.093857129890788, 0.05038251616989791, -0.15525511111792303, 0.022581391393993365, 0.17462989126929557, -0.06103665531033053, 0.20257974039974078, -0.41724208266175583, -0.23771607908332404, 0.08836715862611835, 0.1333291032702996, 0.1779878290264674, -0.08864146419185794, -0.27501081177999953, 0.05430829506543166, -0.12177747320208065, -0.17840816082327432, -0.10872815804169425, 0.036383147493119015, -0.0723352772557124, -0.27657113433376235, 0.12269553365537299, 0.05913978075402139, 0.06705354225277058, -0.12333182562669774, -0.08091775406116866, -0.049627944930316005, 0.10017643490683217, 0.13976372260147846, 0.059394401289469934, 0.10025740480808243, -0.23589085613570684, -0.09807610343526697, 0.4011298754726941, -0.13925316801540694, -0.203543028082558, 0.13953902929986142, -0.17402485781019764, -0.10226594408499604, 0.10479920656191853, 0.14871802094462766, 0.1095418559501545, -0.09198092750958958, 0.18126232040560594, -0.043209587954169244, 0.12711161650378994, 0.05806088762990427, 0.02280639810048325, 0.24277142688350858, 0.10187794303275505, 0.10974482505226438, 0.1409144226389164, -0.04824645631234952, -0.08803998075759495, -0.33090101617370854, -0.21122107786600883, -0.2149609870745203, 0.09714757979689341, -0.08401113350912467, -0.2144324417884422, 0.38997628682574154, 0.1465764674588704, 0.17817459356496637, -0.025868091802552062, 0.24419481262459225, 0.1704114159725097, 0.10369711468338896, 0.04664886807407832, 0.28394256019086206, 0.20088518564237878, 0.10626714003606225, -0.25916851423065757, -0.05432394036654172, 0.04567453097156688] |
710.2293 | Trends in multiparticle production and some "predictions" for pp and
PbPb collisions at LHC | Based on trends seen at lower energies we "predict" the multiplicities and
pseudorapidity distributions of particle density and elliptic flow that will be
seen in PbPb and pp collisions at the LHC. We argue that, if these predictions
turn out to be correct, either these quantities are insensitive to the state of
matter created in high energy heavy ion collisions or the observed simplicity
and universality of the data must be telling us something profound about the
mechanism of particle production, which to this date is not well understood.
| nucl-ex | based on trends seen at lower energies we predict the multiplicities and pseudorapidity distributions of particle density and elliptic flow that will be seen in pbpb and pp collisions at the lhc we argue that if these predictions turn out to be correct either these quantities are insensitive to the state of matter created in high energy heavy ion collisions or the observed simplicity and universality of the data must be telling us something profound about the mechanism of particle production which to this date is not well understood | [['based', 'on', 'trends', 'seen', 'at', 'lower', 'energies', 'we', 'predict', 'the', 'multiplicities', 'and', 'pseudorapidity', 'distributions', 'of', 'particle', 'density', 'and', 'elliptic', 'flow', 'that', 'will', 'be', 'seen', 'in', 'pbpb', 'and', 'pp', 'collisions', 'at', 'the', 'lhc', 'we', 'argue', 'that', 'if', 'these', 'predictions', 'turn', 'out', 'to', 'be', 'correct', 'either', 'these', 'quantities', 'are', 'insensitive', 'to', 'the', 'state', 'of', 'matter', 'created', 'in', 'high', 'energy', 'heavy', 'ion', 'collisions', 'or', 'the', 'observed', 'simplicity', 'and', 'universality', 'of', 'the', 'data', 'must', 'be', 'telling', 'us', 'something', 'profound', 'about', 'the', 'mechanism', 'of', 'particle', 'production', 'which', 'to', 'this', 'date', 'is', 'not', 'well', 'understood']] | [-0.03417792764303976, 0.21935628580578256, -0.18492414313237696, 0.15840520558020707, -0.033988085784687753, -0.1309978432084821, -0.030614561317593193, 0.3473671963830803, -0.2558110554786294, -0.3434752714140027, 0.03056212158591141, -0.3158717346246867, 0.030406476683872804, 0.15040662139719563, -0.008124866753063176, 0.06120569007785133, 0.10843530825726437, 0.044903886185310195, -0.030615947392423837, -0.22685036557632382, 0.2757568275660611, 0.1263648812146334, 0.23891098314917156, 0.18520812300462905, 0.05062151478545929, -0.0067736227353092995, -0.013399533343401979, 0.0384707794304979, -0.12375085766958936, 0.0761711315854892, 0.2851853131661924, 0.07294499532455641, 0.16368813109531832, -0.42971620694053975, -0.15990990425428647, 0.1797493314056584, 0.15360925453348775, 0.09767019649669319, -0.06175065663344949, -0.2454644711871286, 0.11562168080715483, -0.19416108966041146, -0.16296229501296713, -0.05573918741311501, 0.002240081490383724, 0.024670475068387022, -0.24793553702125137, 0.11918957006275194, 0.021377750365011227, 0.03953709151187723, -0.019641676151162284, -0.15101936682300077, -0.09261150619674348, 0.05355551585115576, 0.09924496154907798, 0.0415269444759391, 0.19281265626692873, -0.1516334695029962, -0.12135349602302474, 0.40136428788471756, 0.0055299222029829296, -0.14376881304772549, 0.2361559074612732, -0.23747434857395594, -0.152032635326424, 0.13870131414844078, 0.2421525239452636, 0.07723539372843304, -0.15628895785115407, -0.013826349155004188, -0.018547147299225828, 0.1711930227278306, 0.07220859734048501, 0.06465242264839413, 0.2519363925028383, 0.11941086409843704, -0.008144748135564032, 0.03760165383589972, -0.06982555926789358, -0.10085721260062262, -0.3506454401806499, -0.11921823827884673, -0.13985798671171906, 0.0492109252492115, -0.020990214676182884, -0.08805672586843204, 0.3576175620507323, 0.17185995014373925, 0.28707084779659015, -0.02242510784495873, 0.24272430375260248, 0.13506555161177275, 0.07269708574664507, 0.10793609657126028, 0.31124873383996193, 0.09151238516977664, 0.16898359487544787, -0.19403377076443495, 0.10285735366279992, 0.0167201445725736] |
710.2294 | Strong coupling expansion of Baxter equation in N=4 SYM | The anomalous dimensions of single-trace local Wilson operators with
covariant derivatives in maximally supersymmetric gauge theory are believed to
be generated from a deformed noncompact sl(2) Baxter equation. We perform a
systematic expansion of this equation at strong coupling in the
single-logarithmic limit of large conformal spin to overcome the limitation of
the asymptotic nature of the equation. The analysis is reduced to
Riemann-Hilbert problems for corresponding resolvents of Bethe roots in each
order of the quasiclassical expansion. We explicitly construct the resolvents
in the lowest two orders in strong coupling and find all local conserved
charges of the underlying long-range spin chain.
| hep-th | the anomalous dimensions of singletrace local wilson operators with covariant derivatives in maximally supersymmetric gauge theory are believed to be generated from a deformed noncompact sl2 baxter equation we perform a systematic expansion of this equation at strong coupling in the singlelogarithmic limit of large conformal spin to overcome the limitation of the asymptotic nature of the equation the analysis is reduced to riemannhilbert problems for corresponding resolvents of bethe roots in each order of the quasiclassical expansion we explicitly construct the resolvents in the lowest two orders in strong coupling and find all local conserved charges of the underlying longrange spin chain | [['the', 'anomalous', 'dimensions', 'of', 'singletrace', 'local', 'wilson', 'operators', 'with', 'covariant', 'derivatives', 'in', 'maximally', 'supersymmetric', 'gauge', 'theory', 'are', 'believed', 'to', 'be', 'generated', 'from', 'a', 'deformed', 'noncompact', 'sl2', 'baxter', 'equation', 'we', 'perform', 'a', 'systematic', 'expansion', 'of', 'this', 'equation', 'at', 'strong', 'coupling', 'in', 'the', 'singlelogarithmic', 'limit', 'of', 'large', 'conformal', 'spin', 'to', 'overcome', 'the', 'limitation', 'of', 'the', 'asymptotic', 'nature', 'of', 'the', 'equation', 'the', 'analysis', 'is', 'reduced', 'to', 'riemannhilbert', 'problems', 'for', 'corresponding', 'resolvents', 'of', 'bethe', 'roots', 'in', 'each', 'order', 'of', 'the', 'quasiclassical', 'expansion', 'we', 'explicitly', 'construct', 'the', 'resolvents', 'in', 'the', 'lowest', 'two', 'orders', 'in', 'strong', 'coupling', 'and', 'find', 'all', 'local', 'conserved', 'charges', 'of', 'the', 'underlying', 'longrange', 'spin', 'chain']] | [-0.17274072987380104, 0.1522721553354714, -0.047074522655818934, 0.09451493112713967, -0.08478729057270419, -0.07658324858119477, -0.031059335208570276, 0.28848250966193606, -0.25436275555453836, -0.22004368692609363, 0.0666035822088586, -0.3117107333597338, -0.11776970867610094, 0.09295451800221378, 0.022491900659464662, 0.058902931205241135, -0.007334278715611662, 0.05557936041172847, -0.16990437610888653, -0.22821743203580236, 0.3279302228825366, -0.03502704042181807, 0.2605467678129094, 0.05197853012037581, 0.12463905467895918, -0.003208682369395584, 0.008186164655659384, -0.04064995357857167, -0.1066557959409304, 0.14514878751524696, 0.2558224589645284, -0.03342670944600719, 0.17672422238019775, -0.4433944420075243, -0.14867269679524223, 0.10758213114300832, 0.17855131808889904, 0.14056851210307728, 0.056502183797561285, -0.2991959235938356, 0.04010601176934552, -0.1925801092180089, -0.2299821301356627, -0.11288115980320619, -0.0007479236714397241, -0.03230128451747802, -0.27479456323515444, 0.1481817731434859, 0.021481529565401447, 0.0403232697524058, -0.05102483059496628, -0.08195290020757436, -0.0583462839882857, 0.09003621064922185, 0.08550481503779629, -0.0021177953136271065, 0.06259426981825562, -0.16056462652863734, -0.14195662560630862, 0.3303264742671937, -0.07450672463871068, -0.24921001465448622, 0.11203315202485842, -0.20899056158598187, -0.18013151315294063, 0.11929696243055994, 0.10704836334345989, 0.15797362424143888, -0.18541870513044803, 0.20256430812991558, -0.005484864594939264, 0.10668930579519388, 0.09458444952440348, 0.02944211501772832, 0.18407177455831789, 0.07013617408941093, 0.055080577851927534, 0.15074550615311647, 0.03262450356921972, -0.15866553421964127, -0.3822214582808388, -0.12947588100197535, -0.18229067154811895, 0.11350219756550183, -0.1784056540061799, -0.20097873705321723, 0.39148608125854756, 0.18566517651466816, 0.15110623598939657, 0.0437947652411186, 0.1925702375151868, 0.20116713377240214, 0.10663701618289195, 0.052712233149559855, 0.224112126863227, 0.22609772381273288, 0.05407136478147682, -0.3011882193861258, -0.07886872640404019, 0.20839270849676025] |
710.2295 | Solar Neutrinos: Models, Observations, and New Opportunities | I discuss the development and resolution of the solar neutrino problem, as
well as opportunities now open to us to extend our knowledge of main-sequence
stellar evolution and neutrino astrophysics.
| nucl-th astro-ph | i discuss the development and resolution of the solar neutrino problem as well as opportunities now open to us to extend our knowledge of mainsequence stellar evolution and neutrino astrophysics | [['i', 'discuss', 'the', 'development', 'and', 'resolution', 'of', 'the', 'solar', 'neutrino', 'problem', 'as', 'well', 'as', 'opportunities', 'now', 'open', 'to', 'us', 'to', 'extend', 'our', 'knowledge', 'of', 'mainsequence', 'stellar', 'evolution', 'and', 'neutrino', 'astrophysics']] | [0.054644382651895286, 0.15088617894798517, 0.025003150633225838, 0.17643963685259223, -0.18299824135998885, -0.03568808541943629, 0.04522135766843955, 0.33845172040164473, -0.26334501085802914, -0.4297066015501817, 0.12239883582418164, -0.22730086517209808, -0.07104734356204669, 0.25856604278087614, -0.05407825876027346, 0.052571601855258145, 0.11887514206270376, -0.06620968319475651, -0.06468169237487018, -0.2614794697612524, 0.3187903688599666, 0.12177419910828273, 0.13121884353458882, 0.09379426194354892, 0.09059099317528307, -0.08122814294571677, -0.1329490269223849, -0.11437904729197422, -0.16281159122008831, 0.09208625672617927, 0.31761590068538986, 0.2734824111064275, 0.22241575308144093, -0.3964943530658881, -0.2476720302676161, 0.01123482200006644, 0.2008586955567201, 0.06337754319732387, -0.07410649371643861, -0.2585010106985768, 0.013238003725806873, -0.23141734823584556, -0.23661989845956366, -0.0067404290040334065, -0.024849301079909007, 0.025589282686511675, -0.2220740712247789, -0.009160835482180118, 0.014165004501895359, 0.021329023161282143, -0.11436791849943499, -0.1414972343792518, 0.041565669638415174, 0.22627854614208143, 0.09927459334333738, 0.027488834131509064, 0.08702362299275895, -0.14062403951150676, -0.10892144503692786, 0.44052966199815274, -0.05451426194049418, -0.03995433682575822, 0.1975124244267742, -0.20558458069960275, -0.14416485652327538, 0.01600587929909428, 0.1833628970508774, 0.05953856473788619, -0.17317811598380406, 0.09475354530150071, -0.007600652674833934, 0.12300516045264279, 0.04720397281150023, 0.0740617248035657, 0.3211179884771506, 0.2762312137832244, 0.12625394257095954, -0.03540349171186487, -0.1542461309581995, -0.06185374592120449, -0.26479977207879224, -0.15445595495402814, -0.058502279998113714, 0.14918907604490717, -0.008375722075773714, -0.16773122400045395, 0.43015035496403775, 0.21110991276800634, 0.16140744254613917, -0.011542657762765885, 0.30561654418706896, -0.010462639096658677, 0.04423026541868846, 0.08564557215819756, 0.2553301428755124, 0.23900913347800573, 0.19739594118048748, -0.29385084050397076, -0.014561846634993951, 0.01096474106113116] |
710.2296 | Vertex Percolation on Expander Graphs | We say that a graph $G=(V,E)$ on $n$ vertices is a $\beta$-expander for some
constant $\beta>0$ if every $U\subseteq V$ of cardinality $|U|\leq \frac{n}{2}$
satisfies $|N_G(U)|\geq \beta|U|$ where $N_G(U)$ denotes the neighborhood of
$U$. In this work we explore the process of deleting vertices of a
$\beta$-expander independently at random with probability $n^{-\alpha}$ for
some constant $\alpha>0$, and study the properties of the resulting graph. Our
main result states that as $n$ tends to infinity, the deletion process
performed on a $\beta$-expander graph of bounded degree will result with high
probability in a graph composed of a giant component containing $n-o(n)$
vertices that is in itself an expander graph, and constant size components. We
proceed by applying the main result to expander graphs with a positive spectral
gap. In the particular case of $(n,d,\lambda)$-graphs, that are such expanders,
we compute the values of $\alpha$, under additional constraints on the graph,
for which with high probability the resulting graph will stay connected, or
will be composed of a giant component and isolated vertices. As a graph sampled
from the uniform probability space of $d$-regular graphs with high probability
is an expander and meets the additional constraints, this result strengthens a
recent result due to Greenhill, Holt and Wormald about vertex percolation on
random $d$-regular graphs. We conclude by showing that performing the above
described deletion process on graphs that expand sub-linear sets by an
unbounded expansion ratio, with high probability results in a connected
expander graph.
| math.CO cs.DM math.PR | we say that a graph gve on n vertices is a betaexpander for some constant beta0 if every usubseteq v of cardinality uleq fracn2 satisfies n_gugeq betau where n_gu denotes the neighborhood of u in this work we explore the process of deleting vertices of a betaexpander independently at random with probability nalpha for some constant alpha0 and study the properties of the resulting graph our main result states that as n tends to infinity the deletion process performed on a betaexpander graph of bounded degree will result with high probability in a graph composed of a giant component containing non vertices that is in itself an expander graph and constant size components we proceed by applying the main result to expander graphs with a positive spectral gap in the particular case of ndlambdagraphs that are such expanders we compute the values of alpha under additional constraints on the graph for which with high probability the resulting graph will stay connected or will be composed of a giant component and isolated vertices as a graph sampled from the uniform probability space of dregular graphs with high probability is an expander and meets the additional constraints this result strengthens a recent result due to greenhill holt and wormald about vertex percolation on random dregular graphs we conclude by showing that performing the above described deletion process on graphs that expand sublinear sets by an unbounded expansion ratio with high probability results in a connected expander graph | [['we', 'say', 'that', 'a', 'graph', 'gve', 'on', 'n', 'vertices', 'is', 'a', 'betaexpander', 'for', 'some', 'constant', 'beta0', 'if', 'every', 'usubseteq', 'v', 'of', 'cardinality', 'uleq', 'fracn2', 'satisfies', 'n_gugeq', 'betau', 'where', 'n_gu', 'denotes', 'the', 'neighborhood', 'of', 'u', 'in', 'this', 'work', 'we', 'explore', 'the', 'process', 'of', 'deleting', 'vertices', 'of', 'a', 'betaexpander', 'independently', 'at', 'random', 'with', 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710.2297 | Electrically Tunable Spin Polarization in a Carbon-Nanotube Spin Diode | We have studied the current through a carbon nanotube quantum dot with one
ferromagnetic and one normal-metal lead. For the values of gate voltage at
which the normal lead is resonant with the single available non-degenerate
energy level on the dot, we observe a pronounced decrease in the current for
one bias direction. We show that this rectification is spin-dependent, and that
it stems from the interplay between the spin accumulation and the Coulomb
blockade on the quantum dot. Our results imply that the current is
spin-polarized for one direction of the bias, and that the degree of spin
polarization is fully and precisely tunable using the gate and bias voltages.
As the operation of this spin diode does not require high magnetic fields or
optics, it could be used as a building block for electrically controlled
spintronic devices.
| cond-mat.mes-hall | we have studied the current through a carbon nanotube quantum dot with one ferromagnetic and one normalmetal lead for the values of gate voltage at which the normal lead is resonant with the single available nondegenerate energy level on the dot we observe a pronounced decrease in the current for one bias direction we show that this rectification is spindependent and that it stems from the interplay between the spin accumulation and the coulomb blockade on the quantum dot our results imply that the current is spinpolarized for one direction of the bias and that the degree of spin polarization is fully and precisely tunable using the gate and bias voltages as the operation of this spin diode does not require high magnetic fields or optics it could be used as a building block for electrically controlled spintronic devices | [['we', 'have', 'studied', 'the', 'current', 'through', 'a', 'carbon', 'nanotube', 'quantum', 'dot', 'with', 'one', 'ferromagnetic', 'and', 'one', 'normalmetal', 'lead', 'for', 'the', 'values', 'of', 'gate', 'voltage', 'at', 'which', 'the', 'normal', 'lead', 'is', 'resonant', 'with', 'the', 'single', 'available', 'nondegenerate', 'energy', 'level', 'on', 'the', 'dot', 'we', 'observe', 'a', 'pronounced', 'decrease', 'in', 'the', 'current', 'for', 'one', 'bias', 'direction', 'we', 'show', 'that', 'this', 'rectification', 'is', 'spindependent', 'and', 'that', 'it', 'stems', 'from', 'the', 'interplay', 'between', 'the', 'spin', 'accumulation', 'and', 'the', 'coulomb', 'blockade', 'on', 'the', 'quantum', 'dot', 'our', 'results', 'imply', 'that', 'the', 'current', 'is', 'spinpolarized', 'for', 'one', 'direction', 'of', 'the', 'bias', 'and', 'that', 'the', 'degree', 'of', 'spin', 'polarization', 'is', 'fully', 'and', 'precisely', 'tunable', 'using', 'the', 'gate', 'and', 'bias', 'voltages', 'as', 'the', 'operation', 'of', 'this', 'spin', 'diode', 'does', 'not', 'require', 'high', 'magnetic', 'fields', 'or', 'optics', 'it', 'could', 'be', 'used', 'as', 'a', 'building', 'block', 'for', 'electrically', 'controlled', 'spintronic', 'devices']] | [-0.15376546680123257, 0.16048134781969645, -0.014962316979821637, -0.0052854807682254975, -0.020230148841874847, -0.20160466052337195, 0.05937785056768079, 0.4180428882350596, -0.273466308701703, -0.30066990279492073, 0.040603929721053506, -0.265459522015328, -0.10415061946670197, 0.28031552203582505, -0.004729589259774565, -0.028746023687777754, 0.03322059360228934, -0.009483739706895334, -0.047636649906367276, -0.19535662147062396, 0.2894399472137096, 0.004130946453861731, 0.3099481997904267, 0.10838969053512962, 0.12230969261270848, 0.01986342454128128, 0.12081050222719476, 0.029747955166071437, -0.07881448664823916, 0.08108942350205169, 0.22573789941287672, -0.061816813139472716, 0.21005376577779328, -0.47124278713888723, -0.15123140522975662, 0.05040983676243734, 0.10177232339817414, 0.18844866599274546, -0.08374640960815838, -0.24520340920995465, 0.08027350260681815, -0.17063525752861658, -0.08737018047620479, -0.05340746747959647, -0.024467569889782145, 0.03796725877620977, -0.26889999179008733, 0.08378091302160978, 0.08978586312024954, 0.011330872082332378, 0.023062807811309396, -0.09589416613440505, -0.04942973977350127, 0.10393920429440369, -0.012065953092662979, 0.058753607534383016, 0.2285334823438278, -0.13837055205250254, -0.15099038068446324, 0.28764326557292597, -0.06633933776111858, -0.16815654559499793, 0.15117317113335238, -0.20328131795813925, -0.04968621688660422, 0.07825918954281176, 0.10071228238881277, 0.08883203556861648, -0.13268228765349271, 0.07017929756615257, 0.017813015849791843, 0.16207627058464685, 0.054589932985443006, 0.0740365277701091, 0.2937226577146019, 0.18525451763445955, 0.125884435821338, 0.11360173388769541, -0.15073391837118152, -0.04732039249807817, -0.2707076754769404, -0.17638299116368988, -0.20618730137566868, 0.1213371414950213, -0.04702444140997836, -0.1796150889294557, 0.4474028326504405, 0.18444079301393718, 0.1698505152837648, -0.037972574476521165, 0.30981320263348894, 0.19576562261259142, 0.13333706425087485, 0.009894913601711654, 0.2770067699983877, 0.15820068291140546, 0.10383596091712122, -0.3004404928505072, 0.07609359470276471, -0.06366234013003384] |
710.2298 | Constant curvature foliations on asymptotically hyperbolic spaces | Let $(M,g)$ be an asymptotically hyperbolic manifold with a smooth conformal
compactification. We establish a general correspondence between semilinear
elliptic equations of scalar curvature type on $\del M$ and Weingarten
foliations in some neighbourhood of infinity in $M$. We focus mostly on
foliations where each leaf has constant mean curvature, though our results
apply equally well to foliations where the leaves have constant
$\sigma_k$-curvature. In particular, we prove the existence of a unique
foliation near infinity in any quasi-Fuchsian 3-manifold by surfaces with
constant Gauss curvature. There is a subtle interplay between the precise terms
in the expansion for $g$ and various properties of the foliation. Unlike other
recent works in this area, by Rigger \cite{Ri} and Neves-Tian \cite{NT1},
\cite{NT2}, we work in the context of conformally compact spaces, which are
more general than perturbations of the AdS-Schwarzschild space, but we do
assume a nondegeneracy condition.
| math.DG | let mg be an asymptotically hyperbolic manifold with a smooth conformal compactification we establish a general correspondence between semilinear elliptic equations of scalar curvature type on del m and weingarten foliations in some neighbourhood of infinity in m we focus mostly on foliations where each leaf has constant mean curvature though our results apply equally well to foliations where the leaves have constant sigma_kcurvature in particular we prove the existence of a unique foliation near infinity in any quasifuchsian 3manifold by surfaces with constant gauss curvature there is a subtle interplay between the precise terms in the expansion for g and various properties of the foliation unlike other recent works in this area by rigger citeri and nevestian citent1 citent2 we work in the context of conformally compact spaces which are more general than perturbations of the adsschwarzschild space but we do assume a nondegeneracy condition | [['let', 'mg', 'be', 'an', 'asymptotically', 'hyperbolic', 'manifold', 'with', 'a', 'smooth', 'conformal', 'compactification', 'we', 'establish', 'a', 'general', 'correspondence', 'between', 'semilinear', 'elliptic', 'equations', 'of', 'scalar', 'curvature', 'type', 'on', 'del', 'm', 'and', 'weingarten', 'foliations', 'in', 'some', 'neighbourhood', 'of', 'infinity', 'in', 'm', 'we', 'focus', 'mostly', 'on', 'foliations', 'where', 'each', 'leaf', 'has', 'constant', 'mean', 'curvature', 'though', 'our', 'results', 'apply', 'equally', 'well', 'to', 'foliations', 'where', 'the', 'leaves', 'have', 'constant', 'sigma_kcurvature', 'in', 'particular', 'we', 'prove', 'the', 'existence', 'of', 'a', 'unique', 'foliation', 'near', 'infinity', 'in', 'any', 'quasifuchsian', '3manifold', 'by', 'surfaces', 'with', 'constant', 'gauss', 'curvature', 'there', 'is', 'a', 'subtle', 'interplay', 'between', 'the', 'precise', 'terms', 'in', 'the', 'expansion', 'for', 'g', 'and', 'various', 'properties', 'of', 'the', 'foliation', 'unlike', 'other', 'recent', 'works', 'in', 'this', 'area', 'by', 'rigger', 'citeri', 'and', 'nevestian', 'citent1', 'citent2', 'we', 'work', 'in', 'the', 'context', 'of', 'conformally', 'compact', 'spaces', 'which', 'are', 'more', 'general', 'than', 'perturbations', 'of', 'the', 'adsschwarzschild', 'space', 'but', 'we', 'do', 'assume', 'a', 'nondegeneracy', 'condition']] | [-0.20794245611776002, 0.097128727086177, -0.08812400533093347, 0.07097175452185588, -0.11563236174535835, -0.17875280512897815, -0.05833297584184846, 0.33996807545837426, -0.21190932899480686, -0.23559192812374224, 0.10080468038318537, -0.2926316163243933, -0.1607195560120292, 0.1800377638145518, -0.15557460121474126, 0.0023257492887043757, 0.04819507523724395, 0.10431568465557778, -0.11033701942748546, -0.25209668181681383, 0.460965441319988, -0.02060786183250861, 0.19931059950936791, 0.06772411630097647, 0.10417952569049602, -0.029624539663523644, 0.019102886836561892, 0.04904167332905571, -0.2097470006103524, 0.10179902074580444, 0.2460065416203684, 0.04219966799589909, 0.22621473287613802, -0.38278184237424284, -0.2525688699226723, 0.18534208006975758, 0.12853422825396088, 0.023709163771450728, -0.040011527382678956, -0.27311094908509403, 0.081794683785928, -0.03769767160540343, -0.18098931949094144, -0.06418806007099596, 0.03717168513604621, -0.004350297308216493, -0.17282031029268788, 0.044541750995752714, 0.10406682248463363, 0.10041661788838813, -0.07696847894921019, -0.06769468463123, -0.05994257134686146, 0.06709070240807098, 0.0746582015676217, 0.0866526144317403, 0.07954551831224105, -0.05325721910372118, -0.06110433368060816, 0.3298458652312143, -0.15311831583241858, -0.3092331573198963, 0.13551731372071016, -0.2012881126203057, -0.18874813024497902, 0.08219836413142427, 0.14576437288714159, 0.21593445759370095, -0.08297476379084401, 0.20605533713508825, -0.04501724717233123, 0.08595835899662536, 0.14574785889837788, -0.02501673786496718, 0.15333731029467243, 0.10471674235304818, 0.15723156489871648, 0.08687951390513465, -0.000179956563644939, -0.0636668592677678, -0.3717712577070213, -0.20307329540567784, -0.12235536013031378, 0.15423475136695844, -0.14600005762672985, -0.19111828077196455, 0.35315687493291786, 0.02301342307843394, 0.22499255316668293, 0.10764219954095704, 0.22716371880637276, 0.02391572815758991, 0.02155457052382796, 0.15733978686492062, 0.22122518804361688, 0.18512220987274, 0.044849784646228526, -0.1368641297109813, -0.01786747960189435, 0.1461865527348386] |
710.2299 | On Boltzmann's genius and thermodynamics | A recent essay [1] reminds us of how richly Boltzmann deserves to be
admiringly commemorated for the originality of his ideas on the occasion of his
150th birthday. Without any doubt, the scientific community owes Boltzmann a
great debt of gratitude for his ingenious and pathfinding contributions.
However, the essay chooses to illustrate this important memorial by statements
and inferences that perhaps are questionable today even to Boltzmann himself. I
will comment only on three issues.
| physics.hist-ph | a recent essay 1 reminds us of how richly boltzmann deserves to be admiringly commemorated for the originality of his ideas on the occasion of his 150th birthday without any doubt the scientific community owes boltzmann a great debt of gratitude for his ingenious and pathfinding contributions however the essay chooses to illustrate this important memorial by statements and inferences that perhaps are questionable today even to boltzmann himself i will comment only on three issues | [['a', 'recent', 'essay', '1', 'reminds', 'us', 'of', 'how', 'richly', 'boltzmann', 'deserves', 'to', 'be', 'admiringly', 'commemorated', 'for', 'the', 'originality', 'of', 'his', 'ideas', 'on', 'the', 'occasion', 'of', 'his', '150th', 'birthday', 'without', 'any', 'doubt', 'the', 'scientific', 'community', 'owes', 'boltzmann', 'a', 'great', 'debt', 'of', 'gratitude', 'for', 'his', 'ingenious', 'and', 'pathfinding', 'contributions', 'however', 'the', 'essay', 'chooses', 'to', 'illustrate', 'this', 'important', 'memorial', 'by', 'statements', 'and', 'inferences', 'that', 'perhaps', 'are', 'questionable', 'today', 'even', 'to', 'boltzmann', 'himself', 'i', 'will', 'comment', 'only', 'on', 'three', 'issues']] | [-0.03582612457995613, 0.04865731635441383, -0.163118606377393, 0.10332843535579742, -0.25348424702882766, -0.18894198026508094, 0.11442208285133044, 0.2571090222646793, -0.2078016674766938, -0.2963435370475054, 0.13841740873176606, -0.32149137537926437, -0.1548962300705413, 0.17240398161113263, -0.20411477877448003, -0.02558685267964999, 0.12231234051287174, 0.006687608075638612, 0.012124933811525504, -0.3981729052743564, 0.3423116053454578, 0.14918574738005796, 0.2683972011258205, 0.14559550057475765, 0.09730689533054829, 0.018913195530573527, -0.07930396075670917, -0.04736184513817231, -0.11212943050127554, 0.1586722357477993, 0.26903551871577897, 0.21778983204315105, 0.4657725853224595, -0.45694131463766097, -0.16185640608270963, 0.0344817863839368, 0.08648809901128213, 0.13129458094015717, 0.03742068625676135, -0.2997028032504022, 0.022114586234092713, -0.15424622798959414, -0.16910225466514628, -0.06025975496508181, 0.06738728377968073, -0.03861143328094234, -0.097751266832153, 0.0010377397015690804, 0.10106387874111533, 0.049044048339128496, 0.0022589384950697424, -0.19303112220019103, 0.0900962138424317, 0.10548356972634793, 0.10914646895136684, 0.043844246414179604, 0.088676468282938, -0.13487650693394243, -0.15556169472634793, 0.43126347690820693, 0.00032488078189392883, -0.11146378630151352, 0.12786772631108761, -0.10421822004020215, -0.19813893971188615, 0.0177250256203115, 0.10043662197887898, 0.07183437086059712, -0.13458726448938252, 0.07920383186390002, -0.0667866626381874, 0.12905990603069464, 0.1069261847405384, -0.040940987089027964, 0.2485207210232814, 0.08699363657583793, -0.0666456595994532, 0.01939998835635682, 0.02725912336880962, -0.12567964591085912, -0.240301717184484, -0.19706689830248555, -0.19598308519770702, 0.10851172150423129, 0.01696400360398305, -0.12033747684210538, 0.3735890692596634, 0.25828542094367246, 0.07683383795122306, 0.005738463082040349, 0.24318596529308706, 0.015728275297830503, -0.014621242796226093, 0.0564461413398385, 0.2530363398161717, 0.06053274482799073, 0.19374494111786286, -0.1288552658694486, 0.13745787820623567, 0.06325024002542098] |
710.23 | Scattering of single spikes | We apply the dressing method to a string solution given by a static string
wrapped around the equator of a three-sphere and find that the result is the
single spike solution recently discussed in the literature. Further application
of the method allows the construction of solutions with multiple spikes. In
particular we construct the solution describing the scattering of two single
spikes and compute the scattering phase shift. As a function of the dressing
parameters, the result is exactly the same as the one for the giant magnon, up
to non-logarithmic terms. This suggests that the single spikes should be
described by an integrable spin chain closely related to the one associated to
the giant magnons. The field theory interpretation of such spin chain however
is still unclear.
| hep-th | we apply the dressing method to a string solution given by a static string wrapped around the equator of a threesphere and find that the result is the single spike solution recently discussed in the literature further application of the method allows the construction of solutions with multiple spikes in particular we construct the solution describing the scattering of two single spikes and compute the scattering phase shift as a function of the dressing parameters the result is exactly the same as the one for the giant magnon up to nonlogarithmic terms this suggests that the single spikes should be described by an integrable spin chain closely related to the one associated to the giant magnons the field theory interpretation of such spin chain however is still unclear | [['we', 'apply', 'the', 'dressing', 'method', 'to', 'a', 'string', 'solution', 'given', 'by', 'a', 'static', 'string', 'wrapped', 'around', 'the', 'equator', 'of', 'a', 'threesphere', 'and', 'find', 'that', 'the', 'result', 'is', 'the', 'single', 'spike', 'solution', 'recently', 'discussed', 'in', 'the', 'literature', 'further', 'application', 'of', 'the', 'method', 'allows', 'the', 'construction', 'of', 'solutions', 'with', 'multiple', 'spikes', 'in', 'particular', 'we', 'construct', 'the', 'solution', 'describing', 'the', 'scattering', 'of', 'two', 'single', 'spikes', 'and', 'compute', 'the', 'scattering', 'phase', 'shift', 'as', 'a', 'function', 'of', 'the', 'dressing', 'parameters', 'the', 'result', 'is', 'exactly', 'the', 'same', 'as', 'the', 'one', 'for', 'the', 'giant', 'magnon', 'up', 'to', 'nonlogarithmic', 'terms', 'this', 'suggests', 'that', 'the', 'single', 'spikes', 'should', 'be', 'described', 'by', 'an', 'integrable', 'spin', 'chain', 'closely', 'related', 'to', 'the', 'one', 'associated', 'to', 'the', 'giant', 'magnons', 'the', 'field', 'theory', 'interpretation', 'of', 'such', 'spin', 'chain', 'however', 'is', 'still', 'unclear']] | [-0.13298602153736283, 0.12289331998829311, -0.07224546191798709, 0.08555215873366251, -0.06912424196343636, -0.09592720657383325, 0.017553192828017927, 0.3218890325006214, -0.2719962920382386, -0.26635649238050974, 0.1026900441484031, -0.2840065920628376, -0.1805232158912986, 0.18385056225088192, -0.018061212827888085, 0.011114827924757265, 0.032057110853202175, 0.09416332251566928, -0.06279302646362339, -0.2104355294650304, 0.3185292282178125, 0.031040963032864965, 0.2782676461720257, 0.04666546800581273, 0.11049056205229135, 0.015366440766229061, 0.021571426466834964, -0.01658996554033365, -0.11919056671524686, 0.11312308137939908, 0.21213955440180143, 0.07188727624088642, 0.18115722720176564, -0.4243094621488126, -0.1951375174446639, 0.06510799458919792, 0.18750376451862394, 0.1777930803000345, -0.0214114452683134, -0.23509200188709656, 0.049481511621706886, -0.17111657805071445, -0.20639236230636016, -0.052209812165529, -0.0012901821164632565, 0.019961225984843622, -0.22133669144386658, 0.05303109388114535, 0.07373650700174039, -0.0350259396157071, -0.06570496215908861, -0.05451710589113645, -0.018268780946073093, 0.11234972364763962, 0.10537528702025156, 0.08334247753737145, 0.10106978988915216, -0.13812808204056637, -0.1288945438536757, 0.33907230602926575, -0.09790561340196291, -0.19048609108722303, 0.14469517816905864, -0.13977065977087477, -0.12404872474394324, 0.1448226274405897, 0.08483218751280219, 0.14385707659675973, -0.17389854322027531, 0.07425498303842915, -0.033384377895345096, 0.16044285726093221, 0.09615908472551382, 0.015463023628399242, 0.24990128074023232, 0.1471648089482187, 0.03922876596698188, 0.19140126546653846, -0.09636590171112402, -0.12401820317609236, -0.2983216006382463, -0.1193370224575574, -0.20127549151220592, 0.05122712322190637, -0.08378972329933276, -0.21382865837949794, 0.41520603612298146, 0.12581997559892955, 0.2354727591809933, 0.02189061108219903, 0.2564859526610235, 0.18156266567348212, 0.08081560443679336, 0.03892446190911869, 0.22479994477907894, 0.1491692112540477, 0.07498162222327664, -0.26910288841827423, 0.0012618871332961135, 0.08742393480315513] |
710.2301 | Auto and crosscorrelograms for the spike response of LIF neurons with
slow synapses | An analytical description of the response properties of simple but realistic
neuron models in the presence of noise is still lacking. We determine
completely up to the second order the firing statistics of a single and a pair
of leaky integrate-and-fire neurons (LIFs) receiving some common slowly
filtered white noise. In particular, the auto- and cross-correlation functions
of the output spike trains of pairs of cells are obtained from an improvement
of the adiabatic approximation introduced in \cite{Mor+04}. These two functions
define the firing variability and firing synchronization between neurons, and
are of much importance for understanding neuron communication.
| q-bio.NC physics.bio-ph | an analytical description of the response properties of simple but realistic neuron models in the presence of noise is still lacking we determine completely up to the second order the firing statistics of a single and a pair of leaky integrateandfire neurons lifs receiving some common slowly filtered white noise in particular the auto and crosscorrelation functions of the output spike trains of pairs of cells are obtained from an improvement of the adiabatic approximation introduced in citemor04 these two functions define the firing variability and firing synchronization between neurons and are of much importance for understanding neuron communication | [['an', 'analytical', 'description', 'of', 'the', 'response', 'properties', 'of', 'simple', 'but', 'realistic', 'neuron', 'models', 'in', 'the', 'presence', 'of', 'noise', 'is', 'still', 'lacking', 'we', 'determine', 'completely', 'up', 'to', 'the', 'second', 'order', 'the', 'firing', 'statistics', 'of', 'a', 'single', 'and', 'a', 'pair', 'of', 'leaky', 'integrateandfire', 'neurons', 'lifs', 'receiving', 'some', 'common', 'slowly', 'filtered', 'white', 'noise', 'in', 'particular', 'the', 'auto', 'and', 'crosscorrelation', 'functions', 'of', 'the', 'output', 'spike', 'trains', 'of', 'pairs', 'of', 'cells', 'are', 'obtained', 'from', 'an', 'improvement', 'of', 'the', 'adiabatic', 'approximation', 'introduced', 'in', 'citemor04', 'these', 'two', 'functions', 'define', 'the', 'firing', 'variability', 'and', 'firing', 'synchronization', 'between', 'neurons', 'and', 'are', 'of', 'much', 'importance', 'for', 'understanding', 'neuron', 'communication']] | [-0.11759902638316687, 0.11106094211721271, 0.0027157955574898087, 0.08451871182033031, -0.016961366140131592, -0.15198867267225774, 0.0598815880259689, 0.4049563635121651, -0.2523104788174815, -0.25818177164361183, 0.022734266113043213, -0.282050390875119, -0.2545282244468488, 0.17921797060692796, -0.08649013259885263, 0.045883196196994006, 0.03720307354910337, 0.07875992533007199, -0.009969522715641223, -0.24560719866267577, 0.24669406186238083, 0.040843244271390904, 0.27185933238693644, -0.06822204553731243, 0.12357760218746618, -0.03508571017419501, -0.04542232058676226, -0.07414241301309203, -0.07901468663951572, 0.11673472920843704, 0.22752775683957038, 0.11677690043722336, 0.2998512876410113, -0.48325634795260064, -0.24288631123205534, 0.11981628981551953, 0.12504806124358153, 0.11533004762984965, -0.012052487301621206, -0.24703531766462386, 0.07031884176860925, -0.15571694228589078, -0.044128112471187295, -0.06363412606700951, 0.030455237142836714, 0.12963886510542766, -0.2860469710276633, 0.0913836756264981, 0.10980619634121504, 0.06122544872317919, -0.03835336741045764, -0.03179487417813162, -0.02733038212362753, 0.19039791751158786, -0.011664042356233967, -0.0047533069844167605, 0.14240114375169635, -0.19254246465766764, -0.09268450959376534, 0.27902219212692403, -0.062423770930095365, -0.20844829854750246, 0.18495514621121847, -0.15349134312923618, -0.09037410167083905, 0.12528849119909716, 0.17571334681492679, 0.034764722768901565, -0.2080396167477783, -0.024616351524577, 0.03891645613535098, 0.20385643626962388, 0.11523032491570528, 0.06364707100414196, 0.18803568961745015, 0.2033302434221176, 0.00993143357526587, 0.1544166317979368, -0.10634478375200439, -0.09383390660335937, -0.29364311905834367, -0.03133318219001272, -0.16605440458777, 0.06375225249924982, -0.09207131002129208, -0.20375440309622458, 0.4945011625104413, 0.11661568893195719, 0.2128640040042525, 0.11516660506532965, 0.2781783138515846, 0.1453378401335557, 0.033228830957063, 0.04216438036278954, 0.20700402308061805, 0.1961317735496072, 0.06509251908722277, -0.22137404302383384, 0.07568346450998618, -0.0031655934183117077] |
710.2302 | Freeness of equivariant cohomology and mutants of compactified
representations | We survey generalisations of the Chang-Skjelbred Lemma for integral
coefficients. Moreover, we construct examples of manifolds with actions of tori
of rank > 2 whose equivariant cohomology is torsion-free, but not free. This
answers a question of Allday's. The "mutants" we construct are obtained from
compactified representations and involve Hopf bundles in a crucial way.
| math.AT math.GT | we survey generalisations of the changskjelbred lemma for integral coefficients moreover we construct examples of manifolds with actions of tori of rank 2 whose equivariant cohomology is torsionfree but not free this answers a question of alldays the mutants we construct are obtained from compactified representations and involve hopf bundles in a crucial way | [['we', 'survey', 'generalisations', 'of', 'the', 'changskjelbred', 'lemma', 'for', 'integral', 'coefficients', 'moreover', 'we', 'construct', 'examples', 'of', 'manifolds', 'with', 'actions', 'of', 'tori', 'of', 'rank', '2', 'whose', 'equivariant', 'cohomology', 'is', 'torsionfree', 'but', 'not', 'free', 'this', 'answers', 'a', 'question', 'of', 'alldays', 'the', 'mutants', 'we', 'construct', 'are', 'obtained', 'from', 'compactified', 'representations', 'and', 'involve', 'hopf', 'bundles', 'in', 'a', 'crucial', 'way']] | [-0.1710258729114496, 0.059821862897633596, -0.08913662458137381, 0.10765643836051789, -0.12275052765595182, -0.18343869008053587, -0.006463120996793908, 0.3661216481738144, -0.29156533660331985, -0.2247578538954258, 0.15533203309849958, -0.23370547397150043, -0.21276895578880356, 0.22835184076695508, -0.18651389622322792, -0.037430050220551354, 0.07472116417550254, 0.0805199114553068, -0.05700099431329741, -0.32522223046969817, 0.46692598734121277, -0.03807062641629633, 0.1648830721014232, 0.05863570275206892, 0.1625191739162887, -0.01622135045428602, -0.09044959947888581, -0.03753042777227062, -0.18529735863173627, 0.19630380187135296, 0.34970901358240053, 0.04908546491719361, 0.1924078416667949, -0.3557439038600281, -0.12738850025706133, 0.19058474806963271, 0.15817378729335824, 0.08322497555669749, -0.0034251300055744512, -0.2700892732882837, 0.07561603508327368, -0.16918029365533926, -0.1724853015873792, -0.14793877786833723, 0.018337919519564032, 0.017866801470518112, -0.21879525219182536, 0.02725292296799005, 0.08739778165758219, 0.15569683930502748, -0.1301726797850416, -0.04797890126916035, -0.048113942919474725, 0.118118416667336, 0.03479043283183479, -0.0059572109109107055, 0.12382755993496415, -0.13070784939699015, -0.17144380474709114, 0.3611205758632354, -0.048227417458481386, -0.26984792557668014, 0.12155074130893105, -0.1395495674168726, -0.20505306202663495, 0.13010246797139705, 0.07788065234023445, 0.21483587275999422, 0.0062003765114635795, 0.15774043419130393, -0.12513640971924617, 0.0872061102418229, 0.11090734619471543, -0.009077027440071106, 0.13922643311813754, 0.060277570847351594, 0.07240146629617743, 0.11680511137435459, 0.02361044333369102, -0.04812859654215709, -0.34216705027897404, -0.20103072401417313, -0.06593649534350436, 0.20985316247091726, -0.06918415100338983, -0.19014511702424092, 0.41705686444381496, 0.08171137019921586, 0.20001161013694727, 0.17359427292391938, 0.18193728869499745, 0.01990140232099396, 0.07777723880871287, 0.062180343356405224, 0.10555984267859526, 0.22233287651829844, -0.03674063227086697, -0.037556318693601015, -0.08572554184159017, 0.25671782201806187] |
710.2303 | Phase Transitions and Quantum Stabilization in Quantum Anharmonic
Crystals | A unified theory of phase transitions and quantum effects in quantum
anharmonic crystals is presented. In its framework, the relationship between
these two phenomena is analyzed. The theory is based on the representation of
the model Gibbs states in terms of path measures (Euclidean Gibbs measures). It
covers the case of crystals without translation invariance, as well as the case
of asymmetric anharmonic potentials. The results obtained are compared with
those known in the literature.
| math-ph math.MP | a unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented in its framework the relationship between these two phenomena is analyzed the theory is based on the representation of the model gibbs states in terms of path measures euclidean gibbs measures it covers the case of crystals without translation invariance as well as the case of asymmetric anharmonic potentials the results obtained are compared with those known in the literature | [['a', 'unified', 'theory', 'of', 'phase', 'transitions', 'and', 'quantum', 'effects', 'in', 'quantum', 'anharmonic', 'crystals', 'is', 'presented', 'in', 'its', 'framework', 'the', 'relationship', 'between', 'these', 'two', 'phenomena', 'is', 'analyzed', 'the', 'theory', 'is', 'based', 'on', 'the', 'representation', 'of', 'the', 'model', 'gibbs', 'states', 'in', 'terms', 'of', 'path', 'measures', 'euclidean', 'gibbs', 'measures', 'it', 'covers', 'the', 'case', 'of', 'crystals', 'without', 'translation', 'invariance', 'as', 'well', 'as', 'the', 'case', 'of', 'asymmetric', 'anharmonic', 'potentials', 'the', 'results', 'obtained', 'are', 'compared', 'with', 'those', 'known', 'in', 'the', 'literature']] | [-0.09571311201900244, 0.17054267522258063, -0.10543692936499914, 0.09679391046209881, 0.005545132880409559, -0.11628677967935801, 0.03719090077094734, 0.37640022672712803, -0.24651644088327884, -0.258633248458306, 0.05395886781315009, -0.33321255854020515, -0.18187402993440627, 0.20265193399973214, -0.039143240936100485, 0.09594671587071692, 0.02180332736422618, 0.05978100121021271, -0.09077833782881499, -0.19561860186358293, 0.2826036405066649, 0.0295871482634296, 0.32272325333518287, 0.06298093707611163, 0.08016160495579243, -0.006896880697458982, 0.006571183322618405, 0.029781740109125772, -0.13300732451180616, 0.11371238493282969, 0.24071700938045978, 0.04849556083480517, 0.18810674463709195, -0.39266091100871564, -0.2712255813057224, 0.08800830683515717, 0.08691917956496278, 0.13798290617143114, -0.030601184313806394, -0.30252842142557107, 0.008247874646137158, -0.140638391772906, -0.11567889725168547, -0.09430348232388497, -0.0348131232149899, 0.029593174966673057, -0.18659022202715278, 0.11420547714456916, 0.08424339942168445, 0.08628326853737235, -0.09530172646821787, -0.10606553918371597, 0.0013532596609244743, 0.09891147679338852, 0.036270274956089754, 0.017974372282624246, 0.10115433763712645, -0.12418330306187272, -0.18680314635237058, 0.4514168675492207, -0.04943892189611991, -0.24077169264356296, 0.1845793813249717, -0.11967766057699919, -0.11930079173917572, 0.06054180121049285, 0.1009716972336173, 0.12271241997679075, -0.14443218959495424, 0.135977854715505, -0.008869245778769255, 0.08987542100250721, 0.029702322060863175, 0.08177222377310196, 0.14939757227558098, 0.1328991154084603, 0.018634575406710308, 0.19005740056745707, -0.04381622437077264, -0.22430919879426559, -0.3338347084323565, -0.13893863496681055, -0.2103950627023975, -0.011223231454690298, -0.08826896474366852, -0.18493027304609616, 0.3896378142262499, 0.0774962464099129, 0.17230936841418346, 0.039969314808646836, 0.23378168024122714, 0.12365923708615204, 0.04716712286695838, -0.002620161386827628, 0.23690969554086527, 0.18625877519448597, 0.06367218049243092, -0.2112326941328744, 0.03351972428771357, 0.08582163996994495] |
710.2304 | Comment on the article arXiv 0710.0349 by Chapoton et al. titled ``An
operational calculus for the Mould operad'' | This paper has been withdrawn.
| math.QA math.CO | this paper has been withdrawn | [['this', 'paper', 'has', 'been', 'withdrawn']] | [-0.14966976195573806, -0.11479587350040674, -0.26925536394119265, -0.2174653896363452, -0.24278417900204657, -0.06483052410185337, -0.18645338097121567, 0.4360402226448059, -0.2831330731511116, -0.34362963438034055, 0.12004837393760681, -0.3683081828057766, -0.1602430183440447, -0.10558439195156097, -0.49794104844331744, 0.22114052325487138, 0.020489710569381713, -0.13509191051125527, -0.003394755348563194, -0.4261150062084198, 0.24723864942789078, 0.20099691897630692, 0.29493145644664764, 0.43429074883461, 0.01915901619940996, -0.230447637476027, -0.11513714343309403, 0.020372361689805985, -0.20633925572037698, 0.044814842939376834, 0.2428473174571991, 0.019041498890146613, 0.6547030150890351, -0.4033622771501541, -0.3201997369527817, 0.3520198702812195, 0.42603884935379027, 0.23336923271417617, -0.27920777946710584, -0.36215683072805405, 0.36309435218572617, -0.5702161848545074, -0.1315121427178383, 0.06789367422461509, 0.22953803576529025, -0.3321428090333939, 0.017446409910917282, -0.028199871815741063, 0.24563229084014893, 0.3347385682165623, 0.15144075378775596, -0.2489987626671791, 0.17282117679715156, 0.24701693132519723, 0.3440325528383255, 0.20867147911339998, -0.13285142406821251, 0.07563621033914388, -0.044104534387588504, 0.3356690138578415, 0.23557274155318736, -0.24962785169482232, 0.046857850253582, 0.04556192234158516, -0.26518367901444434, 0.15704565420746802, 0.21749483253806828, 0.11799136139452457, -0.5040611356496811, 0.422764346562326, -0.18172579109668732, 0.19774497151374817, 0.28551970086991785, -0.06363286226987838, 0.07455872595310212, 0.30426284223794936, -0.09061564113944769, 0.28927659466862676, -0.06672459170222282, 0.09313873648643493, -0.03926684409379959, -0.2222803145647049, -0.3248200133442879, 0.10310854855924845, 0.5389873318374157, -0.09992984607815743, 0.42208007872104647, 0.27619058787822726, 0.03591356128454208, -0.16131918579339982, 0.3660829946398735, 0.27453771883156153, 0.06713124886155128, -0.09843106493353844, 0.49104041904211043, 0.10996200516819954, 0.28820077180862425, 0.10187920853495598, 0.42227696925401687, 0.2043190725147724] |
710.2305 | The number of cliques in graphs of given order and size | Let k_r(n,m) denote the minimum number of r-cliques in graphs with n vertices
and m edges. For r=3,4 we give a lower bound on k_r(n,m) that approximates
k_r(n,m) with an error smaller than n^r/(n^2-2m). The solution is based on a
constraint minimization of certain multilinear forms. In our proof, a
combinatorial strategy is coupled with extensive analytical arguments.
| math.CO | let k_rnm denote the minimum number of rcliques in graphs with n vertices and m edges for r34 we give a lower bound on k_rnm that approximates k_rnm with an error smaller than nrn22m the solution is based on a constraint minimization of certain multilinear forms in our proof a combinatorial strategy is coupled with extensive analytical arguments | [['let', 'k_rnm', 'denote', 'the', 'minimum', 'number', 'of', 'rcliques', 'in', 'graphs', 'with', 'n', 'vertices', 'and', 'm', 'edges', 'for', 'r34', 'we', 'give', 'a', 'lower', 'bound', 'on', 'k_rnm', 'that', 'approximates', 'k_rnm', 'with', 'an', 'error', 'smaller', 'than', 'nrn22m', 'the', 'solution', 'is', 'based', 'on', 'a', 'constraint', 'minimization', 'of', 'certain', 'multilinear', 'forms', 'in', 'our', 'proof', 'a', 'combinatorial', 'strategy', 'is', 'coupled', 'with', 'extensive', 'analytical', 'arguments']] | [-0.1785722858223476, 0.0811818848027574, -0.0931909203594714, 0.0038636768637061642, -0.10674460054162824, -0.16880974047735595, 0.07674159462514676, 0.28919497004448713, -0.18406433167687633, -0.355513706443864, 0.08409505810899039, -0.3296454979531598, -0.13546324504759946, 0.18276753253303468, -0.08423356703694976, -0.012870387917613252, 0.0762430679445204, 0.1009960913838688, -0.06516648377810111, -0.2599329635043416, 0.26913651941638245, 0.013138849696699987, 0.17040519911403718, 0.06828200379223154, 0.09000446154785, 0.01363991009757707, 0.028193263206304164, 0.021329755437347973, -0.20142136364340427, 0.16084845193351308, 0.20537250450599873, 0.14685085388063862, 0.29281734201338205, -0.4311673143682511, -0.11714128983868777, 0.17563137158816844, 0.15068942152388526, 0.009478124267045866, -0.02050742785152244, -0.20515255398002633, 0.1343027749915787, -0.08779833887360598, -0.07631595595331307, 0.00731885040244251, 0.06144209402172189, 0.009638710731738493, -0.3698086835966821, 0.023447787184921794, 0.06441014501053774, 0.06498790877920232, -0.042367134417872876, -0.22108545545651986, -0.005927850022552568, -0.006859363583651812, -0.04081470407382177, 0.07183348222455957, 0.03837979703390023, -0.056844044060103203, -0.13233437114640287, 0.3072001271668756, -0.07728841629317398, -0.22970656994240066, 0.09253475390652423, -0.09384887315855737, -0.10566765611190676, 0.141882891417481, 0.14699035438529232, 0.17793203596221774, -0.051883378392902385, 0.11814969134202488, -0.15730978264228293, 0.160607944749165, 0.06553587046239459, 0.033488636860918054, 0.09768001503196724, 0.18094712227844356, 0.20816554149547428, 0.18810947958314628, 0.014661825678654407, -0.04445331128673595, -0.3032575376135738, -0.10242571862794361, -0.25977990897208975, 0.11215713744362195, -0.19283589906964999, -0.17295468665594071, 0.32736138770716233, 0.07350350942528039, 0.2099091535466805, 0.2067905311358341, 0.2682524600572753, 0.11944988852146228, 0.03413591720776534, 0.15923889641437614, 0.11564972317009642, 0.1661858393590113, -0.06996503147182234, -0.1755650152958799, 0.07131423080634129, 0.18943601196403043] |
710.2306 | Umbral Deformations on Discrete Spacetime | Given a minimum measurable length underlying spacetime, the latter may be
effectively regarded as discrete, at scales of order the Planck length. A
systematic discretization of continuum physics may be effected most efficiently
through the umbral deformation. General functionals yielding such deformations
at the level of solutions are furnished and illustrated, and broad features of
discrete oscillations and wave propagation are outlined.
| hep-th gr-qc math-ph math.MP | given a minimum measurable length underlying spacetime the latter may be effectively regarded as discrete at scales of order the planck length a systematic discretization of continuum physics may be effected most efficiently through the umbral deformation general functionals yielding such deformations at the level of solutions are furnished and illustrated and broad features of discrete oscillations and wave propagation are outlined | [['given', 'a', 'minimum', 'measurable', 'length', 'underlying', 'spacetime', 'the', 'latter', 'may', 'be', 'effectively', 'regarded', 'as', 'discrete', 'at', 'scales', 'of', 'order', 'the', 'planck', 'length', 'a', 'systematic', 'discretization', 'of', 'continuum', 'physics', 'may', 'be', 'effected', 'most', 'efficiently', 'through', 'the', 'umbral', 'deformation', 'general', 'functionals', 'yielding', 'such', 'deformations', 'at', 'the', 'level', 'of', 'solutions', 'are', 'furnished', 'and', 'illustrated', 'and', 'broad', 'features', 'of', 'discrete', 'oscillations', 'and', 'wave', 'propagation', 'are', 'outlined']] | [-0.13207030751472038, 0.2005277150761216, -0.07940966874781635, 0.1303169542713271, -0.0817187941002269, -0.10105454973546008, -0.03459476191745771, 0.3307973228267304, -0.3514483090313602, -0.2777960251175588, 0.13655969441958493, -0.25245874752140335, -0.11335657915521052, 0.20509848788741133, 1.2183944965081831e-05, 0.06925879337171453, 0.023511779254242297, 0.017140137302058357, -0.06494220817882207, -0.17297127040764015, 0.25863254173929173, 0.11737893747105714, 0.22503660610997148, 0.03487404357762106, 0.09209587219201269, -0.03480606051462312, -0.0650696033356531, 0.07257433561608195, -0.09157998036549074, 0.09282390971577936, 0.2947867765962597, 0.06600005875131296, 0.2292757431949271, -0.4305677209838083, -0.2891482135033115, 0.046535080400175385, 0.14405076458088814, 0.12512740573935932, 0.008538606035853586, -0.32577115195172446, 0.04827371944162634, -0.0859002984699703, -0.1578871281667342, -0.05136770845931624, 0.010355832265509714, 0.04643437912267062, -0.23817062663334992, 0.12892217664498715, 0.012459801382295067, 0.0618523346079934, -0.028193794634012927, -0.10896469836476289, -0.06062023316119467, 0.08061853736533874, 0.046793807718542316, 0.0144446012211941, 0.12823999099313252, -0.07848170597196347, -0.09465268783030971, 0.4136653200633103, -0.04380092639363401, -0.22591852779770571, 0.15892527983223478, -0.12907101032314747, -0.11817920801319903, 0.1573652915896908, 0.1624372634574801, 0.10156231329986645, -0.08595540661424879, 0.0925197237473537, 0.03553388739448799, 0.18097256116884491, 0.1096338608392304, 0.09169216468768765, 0.2440503119911638, 0.14858827008415135, 0.06126124149699125, 0.08390919593418197, -0.07584285455185079, -0.1084052856350618, -0.4173667409246968, -0.07707265310830647, -0.1639784334467784, 0.06629640479912914, -0.12585803122009007, -0.18134070760119828, 0.41628191926546637, 0.10841083164972763, 0.18397550393016107, 0.02429539965645921, 0.1934073496790182, 0.18871520079424484, 0.08554293320424133, 0.05693958529962167, 0.20201587000290952, 0.1278065813277217, 0.01844770529667937, -0.20075673602461333, 0.022157848872725042, 0.0777676975384595] |
710.2307 | A stability version of H\"older's inequality | We present a stability version of H\"older's inequality, incorporating an
extra term that measures the deviation from equality. Applications are given.
| math.CA math.AP | we present a stability version of holders inequality incorporating an extra term that measures the deviation from equality applications are given | [['we', 'present', 'a', 'stability', 'version', 'of', 'holders', 'inequality', 'incorporating', 'an', 'extra', 'term', 'that', 'measures', 'the', 'deviation', 'from', 'equality', 'applications', 'are', 'given']] | [-0.1308609947917007, 0.03198771159389123, -0.13051582340683257, 0.1573127124103762, -0.06419986850094228, -0.1755023798461826, 0.04362706222482735, 0.26247756741940975, -0.3170111860547747, -0.2819220449420668, 0.18345538231854638, -0.3733899439019816, -0.12633240861552103, 0.1895333936526662, -0.15112112582262074, -0.015862554095552435, 0.06469618010201625, -0.014222901846681322, -0.06599427741907891, -0.21943181646721704, 0.3186568632012322, 0.03222831804305315, 0.23109937587841636, 0.09420351272759338, 0.12496728503278323, 0.034563188906759024, 0.04241323324718645, 0.06307602753596646, -0.1905714215484165, 0.21860399922089918, 0.09806353385959353, 0.17296275602919714, 0.32489974087192897, -0.3650278406483786, -0.19074996436635652, 0.17516546762947524, 0.051913290173702296, 0.09297019411765393, -0.12680304724545705, -0.30461441947235945, 0.04065743717364967, -0.1961040459129782, -0.14514235012410653, -0.08478245720089901, -0.047211478952141034, 0.015436497738673574, -0.3234590973172869, 0.16603688789265497, 0.08891358390627872, 0.10383473092778808, -0.10758351124379606, -0.13151458375865505, 0.05157259266291346, 0.1140468444985648, 0.06372900617619355, -0.04332258035650566, 0.09945437753395665, -0.093274202508231, -0.1476224198538278, 0.31180977262556553, -0.11267740669704619, -0.28121432653140455, 0.06818047724664211, -0.06251151487231255, -0.1763678998021143, -0.003005008878452437, 0.14240042807623035, 0.04834615323869955, -0.1709997265466622, 0.12723472588030355, -0.04882871040276119, 0.21492280012794904, 0.09356914932972618, 0.09594983361395341, 0.10792601396817536, 0.08086508046835661, 0.15476327577960633, 0.23804414485182082, -0.019614213412361487, -0.09623746378790765, -0.4833957169737135, -0.1810222225529807, -0.1706019479759215, 0.08611854467363585, -0.15637050183223827, -0.1170084753206798, 0.31005659765963045, 0.11735454591966811, 0.09285979403094166, 0.1173365315245021, 0.2559410451600949, 0.1671520886676652, 0.05994105693839845, 0.05242965334937686, 0.1817753068393185, 0.11301994452341682, 0.12510942401630537, -0.07005429311123278, 0.1171156934551185, 0.13526233179228647] |
710.2308 | Entanglement on demand through time reordering | Entangled photons can be generated "on demand" in a novel scheme involving
unitary time reordering of the photons emitted in a radiative decay cascade.
The scheme yields polarization entangled photon pairs, even though prior to
reordering the emitted photons carry significant "which path information" and
their polarizations are unentangled. This shows that quantum chronology can be
manipulated in a way that is lossless and deterministic (unitary). The theory
can, in principle, be tested and applied to the biexciton cascade in
semiconductor quantum dots.
| quant-ph cond-mat.mes-hall | entangled photons can be generated on demand in a novel scheme involving unitary time reordering of the photons emitted in a radiative decay cascade the scheme yields polarization entangled photon pairs even though prior to reordering the emitted photons carry significant which path information and their polarizations are unentangled this shows that quantum chronology can be manipulated in a way that is lossless and deterministic unitary the theory can in principle be tested and applied to the biexciton cascade in semiconductor quantum dots | [['entangled', 'photons', 'can', 'be', 'generated', 'on', 'demand', 'in', 'a', 'novel', 'scheme', 'involving', 'unitary', 'time', 'reordering', 'of', 'the', 'photons', 'emitted', 'in', 'a', 'radiative', 'decay', 'cascade', 'the', 'scheme', 'yields', 'polarization', 'entangled', 'photon', 'pairs', 'even', 'though', 'prior', 'to', 'reordering', 'the', 'emitted', 'photons', 'carry', 'significant', 'which', 'path', 'information', 'and', 'their', 'polarizations', 'are', 'unentangled', 'this', 'shows', 'that', 'quantum', 'chronology', 'can', 'be', 'manipulated', 'in', 'a', 'way', 'that', 'is', 'lossless', 'and', 'deterministic', 'unitary', 'the', 'theory', 'can', 'in', 'principle', 'be', 'tested', 'and', 'applied', 'to', 'the', 'biexciton', 'cascade', 'in', 'semiconductor', 'quantum', 'dots']] | [-0.12840586967474546, 0.28201165577643605, -0.11530335537012083, 0.05396733909539587, 0.013777083633130932, -0.20842130716149526, 0.03807677229703685, 0.4628083916627858, -0.2967051109186856, -0.27512815958225584, -0.023677126940687646, -0.26869562503892974, -0.025407472569271023, 0.23229959326605482, 0.000722052944622126, 0.08250870980344803, 0.11507517911903335, -0.027756942406293925, -0.00789683955407376, -0.2061913346714643, 0.2612292652624289, 0.054017360454021265, 0.31822366507566835, 0.048882832212081874, 0.08921706340421574, 0.014100180080452239, 0.01215701257383608, -0.04934254946490099, 0.004497464161880976, 0.0940772217070033, 0.279186807875802, 0.11553827032211225, 0.19202232479779835, -0.46024692922561283, -0.21014953903988542, 0.13613378993762904, 0.18133448830143695, 0.21449297148852148, -0.06353561967998429, -0.31358273155673083, 0.04508690982608192, -0.1646375682833324, -0.023593387940999525, -0.06494557161826685, -0.03924252100692815, -0.04315071190561516, -0.29373096292614037, 0.07258575156061764, 0.05564048288793987, -0.05169270387345768, 0.06120498444189329, 0.021886167172566955, -0.025918859831360448, 0.09633015561287842, -0.023946089594321977, 0.02729730450419193, 0.18658957137243756, -0.09399056567316763, -0.21828566055116524, 0.36126157286835003, -0.07943154911577971, -0.2078575569440622, 0.10499300491289203, -0.1301267666865634, -0.05885379017521459, 0.1847641555345561, 0.17769903763679853, 0.14149810838322324, -0.1255444692397288, 0.022627833381390582, -0.022874369605792214, 0.22373095437525267, 0.10054662455916853, 0.15832789177748274, 0.2352312561178037, 0.07177876500435264, 0.015514453112832215, 0.1736235954442499, -0.04830501311323998, -0.12936647717296762, -0.28636977186353585, -0.20644056921577955, -0.24345477245445082, 0.14939788142106977, -0.0527586050000931, -0.10143171878060303, 0.3810531801507487, 0.12921700422955026, 0.13824545938291247, -0.0071823029057964324, 0.30360713515834636, 0.15773773172039943, 0.05604791760455862, 0.06119283912591187, 0.28709856939154216, 0.12556679908141313, 0.051979730362970246, -0.22146276248259897, 0.03611610585778772, 0.003246889646019203] |
710.2309 | Glueballs in Flatland | The pure gauge theory in 2+1 dimensions is explored, through both a
phenomenological model and a lattice calculation. The Isgur-Paton model is
extended to include a curvature term and various mixing mechanisms. The method
of inferential statistics is used to extract the parameters of best fit and to
compare the likelihoods of the various models when compared to existing lattice
data. The conventional assignment of spin 0 to the pseudoscalar state is called
into question by the proximity of a spin 4 state in the model, which motivates
calculating the mass of the spin 4 state on the lattice. Novel lattice
operators are constructed from a matrix of effective Greens functions which
attempt to overcome the lattice rotational ambiguities. Correlation functions
are presented for the channels with even J, and effective masses extracted. The
resulting masses compare well with the extended Isgur-Paton model.
| hep-lat | the pure gauge theory in 21 dimensions is explored through both a phenomenological model and a lattice calculation the isgurpaton model is extended to include a curvature term and various mixing mechanisms the method of inferential statistics is used to extract the parameters of best fit and to compare the likelihoods of the various models when compared to existing lattice data the conventional assignment of spin 0 to the pseudoscalar state is called into question by the proximity of a spin 4 state in the model which motivates calculating the mass of the spin 4 state on the lattice novel lattice operators are constructed from a matrix of effective greens functions which attempt to overcome the lattice rotational ambiguities correlation functions are presented for the channels with even j and effective masses extracted the resulting masses compare well with the extended isgurpaton model | [['the', 'pure', 'gauge', 'theory', 'in', '21', 'dimensions', 'is', 'explored', 'through', 'both', 'a', 'phenomenological', 'model', 'and', 'a', 'lattice', 'calculation', 'the', 'isgurpaton', 'model', 'is', 'extended', 'to', 'include', 'a', 'curvature', 'term', 'and', 'various', 'mixing', 'mechanisms', 'the', 'method', 'of', 'inferential', 'statistics', 'is', 'used', 'to', 'extract', 'the', 'parameters', 'of', 'best', 'fit', 'and', 'to', 'compare', 'the', 'likelihoods', 'of', 'the', 'various', 'models', 'when', 'compared', 'to', 'existing', 'lattice', 'data', 'the', 'conventional', 'assignment', 'of', 'spin', '0', 'to', 'the', 'pseudoscalar', 'state', 'is', 'called', 'into', 'question', 'by', 'the', 'proximity', 'of', 'a', 'spin', '4', 'state', 'in', 'the', 'model', 'which', 'motivates', 'calculating', 'the', 'mass', 'of', 'the', 'spin', '4', 'state', 'on', 'the', 'lattice', 'novel', 'lattice', 'operators', 'are', 'constructed', 'from', 'a', 'matrix', 'of', 'effective', 'greens', 'functions', 'which', 'attempt', 'to', 'overcome', 'the', 'lattice', 'rotational', 'ambiguities', 'correlation', 'functions', 'are', 'presented', 'for', 'the', 'channels', 'with', 'even', 'j', 'and', 'effective', 'masses', 'extracted', 'the', 'resulting', 'masses', 'compare', 'well', 'with', 'the', 'extended', 'isgurpaton', 'model']] | [-0.06930025436726588, 0.13873033994691564, -0.06279613214408185, 0.10420760830988053, -0.05210667244367093, -0.13707611069955922, 0.04486051478693457, 0.3494040420917156, -0.23909997621590232, -0.2962597814108525, 0.09674089841082223, -0.2825545374746923, -0.09548924603154296, 0.12733056715696112, 0.03406896079415, 0.07429568701785162, 0.012408659004580255, 0.029762869368639443, -0.104535867083961, -0.20416372860098012, 0.32328081330922726, 0.0315781480053088, 0.27218371557525256, 0.0685505099542491, 0.08059419445950747, 0.014879809969293696, -0.04004058958246158, -0.0077694402608720885, -0.1236120142706937, 0.12535638626749543, 0.18612636354462578, 0.06442916354203558, 0.16208731917130365, -0.38615508265532816, -0.23951605792235506, 0.06531660705544315, 0.11651832363210045, 0.14185682724399323, 0.01589516788261936, -0.2714855155510294, 0.049048273270571985, -0.19839096118181526, -0.12281847117595714, -0.10245688791204426, -0.020294181976493422, -0.030701921647088928, -0.31474729168873566, 0.08342568737974104, 0.012916784883327, 0.014766166304153476, -0.07405238862025675, -0.18746763844225373, -0.044240633042047284, 0.10711374623034234, 0.054960306606848135, 0.0691647117182456, 0.08626859670609131, -0.15125522568457192, -0.14636610166317868, 0.41075239373514283, -0.07487657764223177, -0.2356458655379426, 0.16836152625289727, -0.1113701077679602, -0.08429240208718326, 0.10136941359280706, 0.16039802861347846, 0.09604599335396961, -0.17453601101783375, 0.09224502735289296, -0.017022262656266666, 0.165150173830676, -0.010442615590885386, 0.009878396746943463, 0.20154142408416822, 0.13939777939170078, -0.002849739937150812, 0.1291952255748577, -0.08052947902824026, -0.13563081738050584, -0.26973895626338, -0.09635593587291667, -0.1854386373465373, 0.036139858101813735, -0.08731165006463709, -0.1371245643749208, 0.42845421653058563, 0.18531310466000928, 0.23385479536975598, 0.05789343698334496, 0.272371452907426, 0.1105815849325561, 0.09578730944312874, 0.026693400773838475, 0.22644266958504758, 0.1721753451168876, 0.04034808147177621, -0.24665689743750802, -0.004412188582200479, 0.07449068885925063] |
710.231 | Integrability of Rough Almost Complex Structures | We extend the Newlander-Nirenberg theorem to manifolds with almost complex
structures that have somewhat less than Lipschitz regularity. We also discuss
the regularity of local holomorphic coordinates in the integrable case, with
particular attention to Lipschitz almost complex structures.
| math.DG math.AP math.CV | we extend the newlandernirenberg theorem to manifolds with almost complex structures that have somewhat less than lipschitz regularity we also discuss the regularity of local holomorphic coordinates in the integrable case with particular attention to lipschitz almost complex structures | [['we', 'extend', 'the', 'newlandernirenberg', 'theorem', 'to', 'manifolds', 'with', 'almost', 'complex', 'structures', 'that', 'have', 'somewhat', 'less', 'than', 'lipschitz', 'regularity', 'we', 'also', 'discuss', 'the', 'regularity', 'of', 'local', 'holomorphic', 'coordinates', 'in', 'the', 'integrable', 'case', 'with', 'particular', 'attention', 'to', 'lipschitz', 'almost', 'complex', 'structures']] | [-0.138671523031707, 0.028251171541901734, -0.05579321048198602, 0.13597806590871933, -0.1506649835082965, -0.12099642588351017, -0.0688322836246628, 0.4446640350879767, -0.28002451479626006, -0.167329543389571, 0.13022996039571574, -0.24680477435676715, -0.19225124680461028, 0.1971163059083315, -0.13452629544414008, 0.04767285865277816, 0.04921141251897774, 0.03996006213128567, -0.14277919578270462, -0.31664093077564853, 0.448213920976298, -0.007489193899509234, 0.16495989731107003, 0.03233474281688149, 0.06584222483424804, -0.017014760512094468, -0.008800176521524405, -0.014146447289161958, -0.19713475197670796, 0.17633604989028895, 0.24483490572907987, -0.008459063103565803, 0.2299018667007868, -0.4074514089629818, -0.21774486306672677, 0.2077536553096695, 0.11883047325775409, 0.03079747322660226, -0.004922024744491165, -0.2722465491387993, 0.12550584733104095, -0.04789351710142233, -0.23692581093368623, -0.1298510560240501, 0.01086399498849343, 0.0307337730549849, -0.19115346908951417, 0.07945089557324536, 0.18177114794842708, 0.09619311434336197, -0.13333409409134242, -0.06671291124075651, -0.09939450202270961, 0.01213157270103693, 0.046550422632254854, 0.06825603670082413, 0.09742963851357882, -0.08894750313499035, -0.07768636258939902, 0.33269547102734065, -0.02713553673917583, -0.32195329180327603, 0.2227127234905194, -0.22540585881767747, -0.22257566676498988, 0.1023629522906282, 0.14156614943670157, 0.16279370815326005, -0.06162625183470738, 0.15325676382352144, -0.09215284019517593, 0.1114517874800815, 0.18619753217372376, 0.06501308700833948, -0.0020794041263751495, 0.10689884275556184, 0.21176959236916632, 0.12551040636996427, 0.028223651461303234, -0.13572822351199695, -0.28584022972828305, -0.1128147545342262, -0.06831006447856243, 0.17545584245369986, -0.12360629226821356, -0.2147841198513141, 0.37973934889603883, 0.12579409984680703, 0.204806075980648, 0.17859114486819658, 0.20780468242577252, 0.05649263946673809, 0.07726084486318704, 0.11897140582545827, 0.22007501020263404, 0.20449325654846737, 0.11860239321891314, -0.041083752288101, 0.0027211680650137938, 0.1079677401874692] |
710.2311 | Testing Benson's Regularity Conjecture | D. J. Benson conjectures that the Castelnuovo-Mumford regularity of a group
cohomology ring is always zero. More generally he conjectures that the
cohomology ring always has a system of parameters satisfying a property he
calls very strong quasi-regular. Using computer calculations we find that the
more general conjecture holds for all groups of order less than 256.
| math.GR | d j benson conjectures that the castelnuovomumford regularity of a group cohomology ring is always zero more generally he conjectures that the cohomology ring always has a system of parameters satisfying a property he calls very strong quasiregular using computer calculations we find that the more general conjecture holds for all groups of order less than 256 | [['d', 'j', 'benson', 'conjectures', 'that', 'the', 'castelnuovomumford', 'regularity', 'of', 'a', 'group', 'cohomology', 'ring', 'is', 'always', 'zero', 'more', 'generally', 'he', 'conjectures', 'that', 'the', 'cohomology', 'ring', 'always', 'has', 'a', 'system', 'of', 'parameters', 'satisfying', 'a', 'property', 'he', 'calls', 'very', 'strong', 'quasiregular', 'using', 'computer', 'calculations', 'we', 'find', 'that', 'the', 'more', 'general', 'conjecture', 'holds', 'for', 'all', 'groups', 'of', 'order', 'less', 'than', '256']] | [-0.21881585775286352, 0.04868728082561702, -0.14175195848209815, 0.08101257753125474, -0.07841895578690526, -0.2564495412485772, -0.01201887000678924, 0.3223888729086244, -0.22978295428318934, -0.22664470477193072, 0.08588626293726918, -0.24432071768515334, -0.1125743502032077, 0.2203788083299929, -0.09663873780191991, -0.04301489722964011, 0.0787861785900436, 0.06815303108458848, -0.08297642163948662, -0.3571082262869663, 0.3387730746252233, 0.01084743301269778, 0.2071658514032606, 0.053061809488817266, 0.004655399175949003, 0.0007271481424635439, 0.02963325008749962, 0.009145817637704966, -0.17190134769350007, 0.14584842751215196, 0.27392755376518163, 0.08612229228183105, 0.29313398119911815, -0.39697112407731383, -0.1473388547902894, 0.1770105842713332, 0.09590515344895896, 0.056297114233306626, -0.03392618008033503, -0.19502837509080245, 0.18442229062253446, -0.1883389812060877, -0.1806900513668855, -0.06796777393799602, 0.1648849354150068, -0.016756747604200716, -0.26123695506861333, 0.027943464469883526, 0.125981280596502, 0.15859787475219173, -0.03154005293260541, -0.09848666607949622, -0.08488302674601998, 0.04632777981296705, -0.01805386991697576, 0.043363960753930245, 0.08176169048569966, -0.13158531996764636, -0.1068778841596979, 0.3793322413734961, -0.03541175407084857, -0.1420926664743507, 0.1620664786988575, -0.21692244301697142, -0.20815748316154145, 0.15137152958726674, -0.018517416395377694, 0.17491678274318315, -0.00858674917304725, 0.13661142628182443, -0.225641593402415, 0.16635152076681456, 0.15430233828527362, 0.016049864919439546, 0.09832527024442689, 0.041483020671365556, 0.11334823668431981, 0.05019745894037841, 0.00835895543231776, -0.02705182165332269, -0.29344753370407906, -0.20443751676040783, -0.14364775483243233, 0.14064888293413738, -0.0964025688978533, -0.10957330661793158, 0.33589423502582993, 0.11997463286184427, 0.12184884497209598, 0.13442101736405962, 0.20203433656378797, 0.0716622417563932, 0.06077576556095952, 0.12336194202336564, 0.1438224137221512, 0.2397240473186238, 0.04132409418295873, -0.09470857981298315, 0.039308375180617236, 0.16917452286406046] |
710.2312 | Supercriticality of a Class of Critical String Cosmological Solutions | For a class of Friedmann-Robertson-Walker type string solutions with compact
hyperbolic spatial slices formulated in critical dimension, we find the world
sheet conformal field theory which involves the linear dilaton and
Wess-Zumino-Witten type model with the compact hyperbolic target space. By
analyzing the infrared spectrum, we conclude that the theory is actually
supercritical due to the modular invariance of string theory. Thus, taking into
account previous results, we conclude that all the simple nontrivial string
cosmological solutions are supercritical. A possible explanation of why we are
living in D=4 is provided. The interesting relation of this background with the
Supercritical String Cosmology (SSC) is pointed out.
| hep-th | for a class of friedmannrobertsonwalker type string solutions with compact hyperbolic spatial slices formulated in critical dimension we find the world sheet conformal field theory which involves the linear dilaton and wesszuminowitten type model with the compact hyperbolic target space by analyzing the infrared spectrum we conclude that the theory is actually supercritical due to the modular invariance of string theory thus taking into account previous results we conclude that all the simple nontrivial string cosmological solutions are supercritical a possible explanation of why we are living in d4 is provided the interesting relation of this background with the supercritical string cosmology ssc is pointed out | [['for', 'a', 'class', 'of', 'friedmannrobertsonwalker', 'type', 'string', 'solutions', 'with', 'compact', 'hyperbolic', 'spatial', 'slices', 'formulated', 'in', 'critical', 'dimension', 'we', 'find', 'the', 'world', 'sheet', 'conformal', 'field', 'theory', 'which', 'involves', 'the', 'linear', 'dilaton', 'and', 'wesszuminowitten', 'type', 'model', 'with', 'the', 'compact', 'hyperbolic', 'target', 'space', 'by', 'analyzing', 'the', 'infrared', 'spectrum', 'we', 'conclude', 'that', 'the', 'theory', 'is', 'actually', 'supercritical', 'due', 'to', 'the', 'modular', 'invariance', 'of', 'string', 'theory', 'thus', 'taking', 'into', 'account', 'previous', 'results', 'we', 'conclude', 'that', 'all', 'the', 'simple', 'nontrivial', 'string', 'cosmological', 'solutions', 'are', 'supercritical', 'a', 'possible', 'explanation', 'of', 'why', 'we', 'are', 'living', 'in', 'd4', 'is', 'provided', 'the', 'interesting', 'relation', 'of', 'this', 'background', 'with', 'the', 'supercritical', 'string', 'cosmology', 'ssc', 'is', 'pointed', 'out']] | [-0.13853141325328253, 0.13187491342003616, -0.07575860707405603, 0.13474969963657335, -0.12029645490934546, -0.17087480201790073, -0.01513008269336391, 0.3236481185194175, -0.21232105388288508, -0.23184629937827164, 0.09537531130174, -0.23560506842573578, -0.18113204285080703, 0.15905374392673796, -0.040848958341158786, 0.012911392611403123, -0.010583735756435484, 0.05147865849529516, -0.03710588899864991, -0.26470351053559976, 0.39516733424685335, 0.02879921931175972, 0.28266827698867275, 0.014754786138545792, 0.09738020523328264, -0.02607650910767744, -0.05631404838476436, 0.0767606173349294, -0.15511746350129438, 0.10098238331858807, 0.23777703955804683, 0.09987727869939024, 0.15855890806689682, -0.4134789860438345, -0.271820150236687, 0.0810550065482703, 0.14411237502013738, 0.13142484581462582, -0.041991909498014963, -0.2821616634796813, 0.08655234949469988, -0.12955675666651004, -0.20079489746833887, -0.06677983404919154, 0.044691487054015454, -0.06662421112106938, -0.20453107785565322, 0.08193655882276735, 0.06633062620278236, -0.006265827726994483, -0.11984428085105599, -0.027643560708658595, -0.022766935498506394, 0.07678854697766134, 0.10169121925389606, 0.059875355897260445, 0.09800843989261303, -0.15699937971054032, -0.10497861337971012, 0.38252814198000673, -0.0580203767409021, -0.19705986558406982, 0.1547772234837296, -0.17149357946220575, -0.19707281370032229, 0.11824498328441789, 0.0832292088834604, 0.0907458651608805, -0.11134090786360486, 0.23181902886014696, -0.05534561882498411, 0.13160074300150265, 0.08311246730000624, 0.010279171783828511, 0.28095835616003795, 0.16219573202191517, 0.022773625566360523, 0.1332961073736133, -0.026822211163751077, -0.15198353615881577, -0.4014954244682811, -0.11032420795692026, -0.10074283827188478, 0.13594803809768186, -0.1673064603532592, -0.19235054240122718, 0.325607283018916, 0.07467716065702745, 0.1836597622495215, 0.06579976852319888, 0.20554317389878463, 0.1223394842280233, 0.053113250755968525, 0.09268133486412412, 0.2376485970486307, 0.12267874759613132, 0.08366525469167721, -0.18915022916779942, -0.09836501190175284, 0.1355325011800061] |
710.2313 | Super-Reflection in Fluid Discs: Corotation Amplifier, Corotation
Resonance, Rossby Waves, and Overstable Modes | In differentially rotating discs with no self-gravity, density waves cannot
propagate around the corotation, where the wave pattern rotation speed equals
the fluid rotation rate. Waves incident upon the corotation barrier may be
super-reflected (commonly referred to as corotation amplifier), but the
reflection can be strongly affected by wave absorptions at the corotation
resonance/singularity. The sign of the absorption is related to the Rossby wave
zone very near the corotation radius. We derive the explicit expressions for
the complex reflection and transmission coefficients, taking into account wave
absorption at the corotation resonance. We show that for generic discs, this
absorption plays a much more important role than wave transmission across the
corotation barrier. Depending on the sign of the gradient of the specific
vorticity of the disc the corotation resonance can either enhance or diminish
the super-reflectivity, and this can be understood in terms of the location of
the Rossby wave zone relative to the corotation radius. Our results provide the
explicit conditions (in terms of disc thickness, rotation profile and specific
vorticity gradient) for which super-reflection can be achieved. Global
overstable disc modes may be possible for discs with super-reflection at the
corotation barrier.
| astro-ph | in differentially rotating discs with no selfgravity density waves cannot propagate around the corotation where the wave pattern rotation speed equals the fluid rotation rate waves incident upon the corotation barrier may be superreflected commonly referred to as corotation amplifier but the reflection can be strongly affected by wave absorptions at the corotation resonancesingularity the sign of the absorption is related to the rossby wave zone very near the corotation radius we derive the explicit expressions for the complex reflection and transmission coefficients taking into account wave absorption at the corotation resonance we show that for generic discs this absorption plays a much more important role than wave transmission across the corotation barrier depending on the sign of the gradient of the specific vorticity of the disc the corotation resonance can either enhance or diminish the superreflectivity and this can be understood in terms of the location of the rossby wave zone relative to the corotation radius our results provide the explicit conditions in terms of disc thickness rotation profile and specific vorticity gradient for which superreflection can be achieved global overstable disc modes may be possible for discs with superreflection at the corotation barrier | [['in', 'differentially', 'rotating', 'discs', 'with', 'no', 'selfgravity', 'density', 'waves', 'can', 'not', 'propagate', 'around', 'the', 'corotation', 'where', 'the', 'wave', 'pattern', 'rotation', 'speed', 'equals', 'the', 'fluid', 'rotation', 'rate', 'waves', 'incident', 'upon', 'the', 'corotation', 'barrier', 'may', 'be', 'superreflected', 'commonly', 'referred', 'to', 'as', 'corotation', 'amplifier', 'but', 'the', 'reflection', 'can', 'be', 'strongly', 'affected', 'by', 'wave', 'absorptions', 'at', 'the', 'corotation', 'resonancesingularity', 'the', 'sign', 'of', 'the', 'absorption', 'is', 'related', 'to', 'the', 'rossby', 'wave', 'zone', 'very', 'near', 'the', 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710.2314 | A Flattened Protostellar Envelope in Absorption around L1157 | Deep Spitzer IRAC images of L1157 reveal many of the details of the outflow
and the circumstellar environment of this Class 0 protostar. In IRAC band 4, 8
microns, there is a flattened structure seen in absorption against the
background emission. The structure is perpendicular to the outflow and is
extended to a diameter of 2 arcminutes. This structure is the first clear
detection of a flattened circumstellar envelope or pseudo-disk around a Class 0
protostar. Such a flattened morphology is an expected outcome for many collapse
theories that include magnetic fields or rotation. We construct an extinction
model for a power-law density profile, but we do not constrain the density
power-law index.
| astro-ph | deep spitzer irac images of l1157 reveal many of the details of the outflow and the circumstellar environment of this class 0 protostar in irac band 4 8 microns there is a flattened structure seen in absorption against the background emission the structure is perpendicular to the outflow and is extended to a diameter of 2 arcminutes this structure is the first clear detection of a flattened circumstellar envelope or pseudodisk around a class 0 protostar such a flattened morphology is an expected outcome for many collapse theories that include magnetic fields or rotation we construct an extinction model for a powerlaw density profile but we do not constrain the density powerlaw index | [['deep', 'spitzer', 'irac', 'images', 'of', 'l1157', 'reveal', 'many', 'of', 'the', 'details', 'of', 'the', 'outflow', 'and', 'the', 'circumstellar', 'environment', 'of', 'this', 'class', '0', 'protostar', 'in', 'irac', 'band', '4', '8', 'microns', 'there', 'is', 'a', 'flattened', 'structure', 'seen', 'in', 'absorption', 'against', 'the', 'background', 'emission', 'the', 'structure', 'is', 'perpendicular', 'to', 'the', 'outflow', 'and', 'is', 'extended', 'to', 'a', 'diameter', 'of', '2', 'arcminutes', 'this', 'structure', 'is', 'the', 'first', 'clear', 'detection', 'of', 'a', 'flattened', 'circumstellar', 'envelope', 'or', 'pseudodisk', 'around', 'a', 'class', '0', 'protostar', 'such', 'a', 'flattened', 'morphology', 'is', 'an', 'expected', 'outcome', 'for', 'many', 'collapse', 'theories', 'that', 'include', 'magnetic', 'fields', 'or', 'rotation', 'we', 'construct', 'an', 'extinction', 'model', 'for', 'a', 'powerlaw', 'density', 'profile', 'but', 'we', 'do', 'not', 'constrain', 'the', 'density', 'powerlaw', 'index']] | [-0.09664493316858677, 0.06652476613237769, -0.07378701794999692, 0.07627407492517568, -0.1019190272060841, -0.10019797639482432, -0.05489362863642452, 0.4856692387071331, -0.2296744208183836, -0.3026676615288036, 0.05247271551124224, -0.23165268096578331, -0.0953099087119696, 0.0957036820926448, -0.019255443929439096, -0.047607263096863715, 0.008971063399572024, -0.09301920286874261, -0.04771902575157583, -0.19324439971632298, 0.30431055130057894, 0.05474960628203611, 0.13366467411633975, 0.010510543765154033, 0.049095281111323726, -0.12764493849095518, -0.020236249572177113, -0.013580629791635854, -0.14307055882606048, 0.055099727297449004, 0.1943188265462579, 0.10854726635018545, 0.21263909797530325, -0.33779692855474036, -0.25321652358645097, 0.062462331929071024, 0.18299836943964515, 0.04690648688712215, -0.026458675643445645, -0.2578125445304059, 0.06251597270834161, -0.19266254696747767, -0.21950371481840852, 0.05928650314804265, 0.08274633421838712, -0.022436596991264622, -0.25208003816670793, 0.1012436204602266, 0.06251094396333251, 0.10262944688608425, -0.1273152215624706, -0.08899204025819765, -0.09765767104989659, 0.039351257767561265, -0.004528888809263904, 0.11173557343406487, 0.20989106757879522, -0.21511059888613832, -0.04302681733615103, 0.38315056989678237, -0.08232123013256135, -0.06673818794532424, 0.2191941215722632, -0.19465670351400577, -0.17443142749731783, 0.23206458600089613, 0.13318050034607934, 0.13219931059459275, -0.08493319486084484, 0.0455161124556449, -0.050464479083739286, 0.28231823238321635, 0.06388273799742482, 0.02999312302460317, 0.31795598723950375, 0.12513717180694892, 0.06354645587837703, 0.15713342863126797, -0.25433934044785206, -0.04695755624896394, -0.265283266302874, -0.1500405460519848, -0.15522610382959906, 0.13129045765249953, -0.13700208867322117, -0.18264389690629873, 0.34807846135566983, 0.09659138550586273, 0.22180557702420758, 0.03552924394937216, 0.2949815023962441, 0.0554722298134481, 0.11272882427855403, 0.15133941654462071, 0.27962385740263007, 0.15848637157144535, 0.10805722879888736, -0.15839977932071922, 0.07222420030759763, -0.05036914011512974] |
710.2315 | Universal Mandelbrot Set as a Model of Phase Transition Theory | The study of Mandelbrot Sets (MS) is a promising new approach to the phase
transition theory. We suggest two improvements which drastically simplify the
construction of MS. They could be used to modify the existing computer programs
so that they start building MS properly not only for the simplest families.
This allows us to add one more parameter to the base function of MS and
demonstrate that this is not enough to make the phase diagram connected
| nlin.CD cond-mat.stat-mech hep-th math.CV math.DS | the study of mandelbrot sets ms is a promising new approach to the phase transition theory we suggest two improvements which drastically simplify the construction of ms they could be used to modify the existing computer programs so that they start building ms properly not only for the simplest families this allows us to add one more parameter to the base function of ms and demonstrate that this is not enough to make the phase diagram connected | [['the', 'study', 'of', 'mandelbrot', 'sets', 'ms', 'is', 'a', 'promising', 'new', 'approach', 'to', 'the', 'phase', 'transition', 'theory', 'we', 'suggest', 'two', 'improvements', 'which', 'drastically', 'simplify', 'the', 'construction', 'of', 'ms', 'they', 'could', 'be', 'used', 'to', 'modify', 'the', 'existing', 'computer', 'programs', 'so', 'that', 'they', 'start', 'building', 'ms', 'properly', 'not', 'only', 'for', 'the', 'simplest', 'families', 'this', 'allows', 'us', 'to', 'add', 'one', 'more', 'parameter', 'to', 'the', 'base', 'function', 'of', 'ms', 'and', 'demonstrate', 'that', 'this', 'is', 'not', 'enough', 'to', 'make', 'the', 'phase', 'diagram', 'connected']] | [-0.08890288547074494, 0.1132676951079206, -0.14055194432980248, 0.0821515606170484, -0.15651319255786283, -0.13435837814535995, 0.09942617455902569, 0.35024777238632177, -0.2749581117570013, -0.3142734661928148, 0.0985174127128701, -0.21219579624212437, -0.15871886156692908, 0.22662917853562864, -0.085519180548462, -0.0032081166403247164, 0.08356515875588134, 0.021435867063701153, -0.07739251465899508, -0.29064673414550624, 0.288625369868967, 0.011635330759666183, 0.26780033561509925, 0.0384852939297433, 0.033688631271580595, -0.031734328626280096, 0.00901665124292304, 0.011296253209909448, -0.12230232561724533, 0.11794456094503403, 0.2762280593735057, 0.13692558718869438, 0.2386796092554056, -0.4257501765311538, -0.20780309005118847, 0.12565685161268458, 0.16404769022936944, 0.13537493781579732, 0.015358479471851516, -0.2514359995529249, 0.13108226493251957, -0.17451291921996065, -0.1588246388385048, -0.10838031863140596, -0.01797598037360744, -0.01387495665157867, -0.23845735140894722, -0.02089823686892723, 0.07445775445357158, -0.056192700364082665, 0.014712370350781538, -0.08742136776132824, -0.011905513141401015, 0.176835901315578, 0.015676335981962355, 0.07564558367873844, 0.10469942060359694, -0.08258918307528093, -0.09155270049662946, 0.3657583225119327, -0.03630030497473169, -0.18209012630456067, 0.21956055607441088, -0.14386571944969428, -0.17147933350658262, 0.13181918304316798, 0.14045234278521754, 0.12044935431573298, -0.13197158006104556, 0.012441202828073995, 0.014346239952273764, 0.22308363407463222, 0.030803581832775047, -0.01578266558225279, 0.19037115822437328, 0.16395762084466223, 0.06264656055234856, 0.13781956684104374, -0.06141526052462203, -0.10137174244631421, -0.2700950994168396, -0.16690122596534004, -0.13582163277481282, -0.002145832845587404, -0.055927347213252106, -0.15917456866084756, 0.3974611015700094, 0.23929998699527283, 0.20665640827848927, 0.04574170469929307, 0.28211140609043955, 0.07718194861497198, 0.14485078874685162, 0.0549073652666691, 0.24463204174701655, 0.10791945063460667, 0.08405458436093548, -0.16979065527171863, 0.035486015620453934, 0.03694511336794534] |
710.2316 | The Complex Frobenius Theorem for Rough Involutive Structures | We establish a version of the complex Frobenius theorem in the context of a
complex subbundle S of the complexified tangent bundle of a manifold, having
minimal regularity. If the subbundle S defines the structure of a Levi-flat
CR-manifold, it suffices that S be Lipschitz for our results to apply. A
principal tool in the analysis is a precise version of the Newlander-Nirenberg
theorem with parameters, for integrable almost complex structures with minimal
regularity, which builds on previous recent work of the authors.
| math.DG math.AP math.CV | we establish a version of the complex frobenius theorem in the context of a complex subbundle s of the complexified tangent bundle of a manifold having minimal regularity if the subbundle s defines the structure of a leviflat crmanifold it suffices that s be lipschitz for our results to apply a principal tool in the analysis is a precise version of the newlandernirenberg theorem with parameters for integrable almost complex structures with minimal regularity which builds on previous recent work of the authors | [['we', 'establish', 'a', 'version', 'of', 'the', 'complex', 'frobenius', 'theorem', 'in', 'the', 'context', 'of', 'a', 'complex', 'subbundle', 's', 'of', 'the', 'complexified', 'tangent', 'bundle', 'of', 'a', 'manifold', 'having', 'minimal', 'regularity', 'if', 'the', 'subbundle', 's', 'defines', 'the', 'structure', 'of', 'a', 'leviflat', 'crmanifold', 'it', 'suffices', 'that', 's', 'be', 'lipschitz', 'for', 'our', 'results', 'to', 'apply', 'a', 'principal', 'tool', 'in', 'the', 'analysis', 'is', 'a', 'precise', 'version', 'of', 'the', 'newlandernirenberg', 'theorem', 'with', 'parameters', 'for', 'integrable', 'almost', 'complex', 'structures', 'with', 'minimal', 'regularity', 'which', 'builds', 'on', 'previous', 'recent', 'work', 'of', 'the', 'authors']] | [-0.17147788728576108, -0.0032941616555473893, -0.10709216131503324, 0.04747778541515076, -0.1267618075776172, -0.12118518355874772, -0.012050788714943162, 0.30687795086842345, -0.2761143639526633, -0.20739963808355022, 0.10464423042385423, -0.23215386398832302, -0.1676165466926184, 0.19956929976518928, -0.1088558878659843, 0.015472016622682652, 0.09973340973549757, 0.08916356963812407, -0.09718528738615653, -0.2434057131485385, 0.4262619005538613, 0.0021447216620646328, 0.22366915099008614, 0.0605921840003456, 0.13033324097990093, 0.02865741042285619, -0.006093964920412883, -0.01647092219083065, -0.1753566550033578, 0.19410433231976376, 0.21934319895387808, 0.09197320672963936, 0.24650027152117207, -0.35918801946071793, -0.2014572045047689, 0.17753510369010359, 0.06539740267557552, 0.018689524723183228, 0.02995528966743858, -0.263654160279646, 0.13251187057088476, -0.07844580112990127, -0.23656535453825112, -0.06566823714872799, 0.03869903687926301, -0.004794856454862888, -0.26998848284395544, 0.021084092866001, 0.1610209459259388, 0.10201625390180263, -0.06390707374337208, -0.03945146587464106, -0.08402393340604403, 0.03257230982319059, 0.01898546727003911, 0.1036469974970243, 0.09165257254772517, -0.036094352894698284, -0.1142865864515125, 0.34981405643005686, -0.10330967471587012, -0.26630448435884846, 0.1340183581124587, -0.13881850766623954, -0.18851703729098998, 0.10876093323465931, 0.09961532921451761, 0.15868239466056047, -0.044576611510808974, 0.20592390969171223, -0.15708591794617563, 0.10322249921442694, 0.06350882856332395, -0.01497448072488229, 0.09946880315666098, 0.1827249180031828, 0.13705360772738973, 0.09464184294247169, -0.007013243423909487, -0.061737904302686095, -0.3687157260186701, -0.2292743190472205, -0.13204147613394152, 0.16238403653709152, -0.1058838513836893, -0.19599727859877678, 0.4359205892556403, 0.07561582487345819, 0.23556305205516787, 0.09345862039516355, 0.24925708554191403, 0.04552946590498673, 0.06700807220740132, 0.08076812103054071, 0.16733574514636343, 0.22853148326625577, 0.05742525442851236, -0.09879874867381505, 0.016082410000724696, 0.17134845270270324] |
710.2317 | Numerical simulation of excitation of solar oscillation modes for
different turbulent models | The goal of this research is to investigate how well various turbulence
models can describe physical properties of the upper convective boundary layer
of the Sun. An accurate modeling of the turbulence motions is necessary for
understanding the excitation mechanisms of solar oscillation modes. We have
carried out realistic numerical simulations using several different physical
Large Eddy Simulation (LES) models (Hyperviscosity approach, Smagorinsky, and
dynamic models) to investigate how the differences in turbulence modeling
affect the damping and excitation of the oscillations and their spectral
properties and compare with observations. We have first calculated the
oscillation power spectra of radial and non-radial modes supported by the
computational box with the different turbulence models. Then we have calculated
the work integral input to the modes to estimate the influence of the
turbulence model on the depth and strength of the oscillation sources. We have
compared these results with previous studies and with the observed properties
of solar oscillations. We find that the dynamic turbulence model provides the
best agreement with the helioseismic observations.
| astro-ph | the goal of this research is to investigate how well various turbulence models can describe physical properties of the upper convective boundary layer of the sun an accurate modeling of the turbulence motions is necessary for understanding the excitation mechanisms of solar oscillation modes we have carried out realistic numerical simulations using several different physical large eddy simulation les models hyperviscosity approach smagorinsky and dynamic models to investigate how the differences in turbulence modeling affect the damping and excitation of the oscillations and their spectral properties and compare with observations we have first calculated the oscillation power spectra of radial and nonradial modes supported by the computational box with the different turbulence models then we have calculated the work integral input to the modes to estimate the influence of the turbulence model on the depth and strength of the oscillation sources we have compared these results with previous studies and with the observed properties of solar oscillations we find that the dynamic turbulence model provides the best agreement with the helioseismic observations | [['the', 'goal', 'of', 'this', 'research', 'is', 'to', 'investigate', 'how', 'well', 'various', 'turbulence', 'models', 'can', 'describe', 'physical', 'properties', 'of', 'the', 'upper', 'convective', 'boundary', 'layer', 'of', 'the', 'sun', 'an', 'accurate', 'modeling', 'of', 'the', 'turbulence', 'motions', 'is', 'necessary', 'for', 'understanding', 'the', 'excitation', 'mechanisms', 'of', 'solar', 'oscillation', 'modes', 'we', 'have', 'carried', 'out', 'realistic', 'numerical', 'simulations', 'using', 'several', 'different', 'physical', 'large', 'eddy', 'simulation', 'les', 'models', 'hyperviscosity', 'approach', 'smagorinsky', 'and', 'dynamic', 'models', 'to', 'investigate', 'how', 'the', 'differences', 'in', 'turbulence', 'modeling', 'affect', 'the', 'damping', 'and', 'excitation', 'of', 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0.040450492983434866, 0.017798272318878147] |
710.2318 | Planetesimal Formation with Particle Feedback | Proposed mechanisms for the formation of km-sized solid planetesimals face
long-standing difficulties. Robust sticking mechanisms that would produce
planetesimals by coagulation alone remain elusive. The gravitational collapse
of smaller solids into planetesimals is opposed by stirring from turbulent gas.
This proceeding describes recent works showing that "particle feedback," the
back-reaction of drag forces on the gas in protoplanetary disks, promotes
particle clumping as seeds for gravitational collapse. The idealized streaming
instability demonstrates the basic ability of feedback to generate particle
overdensities. More detailed numerical simulations show that the particle
overdensities produced in turbulent flows trigger gravitational collapse to
planetesimals. We discuss surprising aspects of this work, including the large
(super-Ceres) mass of the collapsing bound cluster, and the finding that MHD
turbulence aids gravitational collapse.
| astro-ph | proposed mechanisms for the formation of kmsized solid planetesimals face longstanding difficulties robust sticking mechanisms that would produce planetesimals by coagulation alone remain elusive the gravitational collapse of smaller solids into planetesimals is opposed by stirring from turbulent gas this proceeding describes recent works showing that particle feedback the backreaction of drag forces on the gas in protoplanetary disks promotes particle clumping as seeds for gravitational collapse the idealized streaming instability demonstrates the basic ability of feedback to generate particle overdensities more detailed numerical simulations show that the particle overdensities produced in turbulent flows trigger gravitational collapse to planetesimals we discuss surprising aspects of this work including the large superceres mass of the collapsing bound cluster and the finding that mhd turbulence aids gravitational collapse | [['proposed', 'mechanisms', 'for', 'the', 'formation', 'of', 'kmsized', 'solid', 'planetesimals', 'face', 'longstanding', 'difficulties', 'robust', 'sticking', 'mechanisms', 'that', 'would', 'produce', 'planetesimals', 'by', 'coagulation', 'alone', 'remain', 'elusive', 'the', 'gravitational', 'collapse', 'of', 'smaller', 'solids', 'into', 'planetesimals', 'is', 'opposed', 'by', 'stirring', 'from', 'turbulent', 'gas', 'this', 'proceeding', 'describes', 'recent', 'works', 'showing', 'that', 'particle', 'feedback', 'the', 'backreaction', 'of', 'drag', 'forces', 'on', 'the', 'gas', 'in', 'protoplanetary', 'disks', 'promotes', 'particle', 'clumping', 'as', 'seeds', 'for', 'gravitational', 'collapse', 'the', 'idealized', 'streaming', 'instability', 'demonstrates', 'the', 'basic', 'ability', 'of', 'feedback', 'to', 'generate', 'particle', 'overdensities', 'more', 'detailed', 'numerical', 'simulations', 'show', 'that', 'the', 'particle', 'overdensities', 'produced', 'in', 'turbulent', 'flows', 'trigger', 'gravitational', 'collapse', 'to', 'planetesimals', 'we', 'discuss', 'surprising', 'aspects', 'of', 'this', 'work', 'including', 'the', 'large', 'superceres', 'mass', 'of', 'the', 'collapsing', 'bound', 'cluster', 'and', 'the', 'finding', 'that', 'mhd', 'turbulence', 'aids', 'gravitational', 'collapse']] | [-0.13402366623537795, 0.1960339509251137, -0.08709624489288657, 0.11434976924999407, -0.07292685486496456, -0.02112233101375281, -0.043407031840498315, 0.26008286982053713, -0.2353508278179253, -0.3018062912648724, 0.006913123720404392, -0.21468121031179063, -0.10258566065890444, 0.16022823073135148, -0.008179896405988162, 0.05342558897551029, 0.13128142378052637, -0.14263707638019696, 0.0270012830151245, -0.2599621876602947, 0.3691854153519436, 0.15455372009666696, 0.12778515971055435, 0.032706276934233405, 0.06344366751070465, -0.12360052718521465, -0.07108598778910574, -0.03913420220018334, -0.25424939976942224, -0.006117491145438004, 0.16207053291145712, 0.13431963313656348, 0.3006888867633778, -0.539564806892867, -0.2882328669891708, 0.04809000171653385, 0.227836282488199, 0.17900411629624055, -0.15043405488458736, -0.24849659837256635, 0.042412554304445946, -0.22408418777218508, -0.16237501539440163, -0.011431138297813314, 0.07647232450695048, 0.013309310576152067, -0.26806223212981656, 0.16897055080100412, 0.12175885876950493, -0.017027490167698313, -0.11243295221544441, -0.039986597742104245, -0.048739882937121774, 0.04151532609455077, 0.07622976615581842, 0.015336899965580913, 0.3304220086692141, -0.17800410316211188, -0.05854321645587803, 0.46437289595844283, -0.012920415772485637, -0.12647844071691525, 0.3067927113884399, -0.20485890032948867, -0.09591223450843245, 0.22311168514762916, 0.21039092716490548, 0.06446903545574675, -0.09632933494492224, -0.04295048489462539, -0.05374429226222058, 0.1507211725524206, 0.12587522441941884, -0.01330482522438791, 0.3705582350432392, 0.20108269566609974, 0.011353807607402785, 0.10808398849481056, -0.09910306354211043, -0.12184196419923776, -0.23962669015576643, -0.12598202797263156, -0.1827596294010178, 0.04754348065715373, -0.10959580788872816, -0.15416799546519835, 0.2521866900666106, 0.18758315931359726, 0.15192584444077745, 0.03973494331735457, 0.332382726652037, 0.023143659953700168, 0.07819850533081579, 0.10853534140398786, 0.34217321873086715, 0.13303602637437684, 0.11205288959336618, -0.294983878358072, 0.0901968135003699, 0.058821092583163974] |
710.2319 | Weyl's law in the theory of automorphic forms | For a compact Riemannian manifold, Weyl's law describes the asymptotic
behavior of the counting function of the eigenvalues of the associated Laplace
operator. In this paper we discuss Weyl's law in the context of automorphic
forms. The underlying manifolds are locally symmetric spaces of finite volume.
In the non-compact case Weyl's law is closely related to the problem of
existence of cusp forms.
| math.SP math.NT | for a compact riemannian manifold weyls law describes the asymptotic behavior of the counting function of the eigenvalues of the associated laplace operator in this paper we discuss weyls law in the context of automorphic forms the underlying manifolds are locally symmetric spaces of finite volume in the noncompact case weyls law is closely related to the problem of existence of cusp forms | [['for', 'a', 'compact', 'riemannian', 'manifold', 'weyls', 'law', 'describes', 'the', 'asymptotic', 'behavior', 'of', 'the', 'counting', 'function', 'of', 'the', 'eigenvalues', 'of', 'the', 'associated', 'laplace', 'operator', 'in', 'this', 'paper', 'we', 'discuss', 'weyls', 'law', 'in', 'the', 'context', 'of', 'automorphic', 'forms', 'the', 'underlying', 'manifolds', 'are', 'locally', 'symmetric', 'spaces', 'of', 'finite', 'volume', 'in', 'the', 'noncompact', 'case', 'weyls', 'law', 'is', 'closely', 'related', 'to', 'the', 'problem', 'of', 'existence', 'of', 'cusp', 'forms']] | [-0.18767618829946195, 0.0798727605743186, -0.1510782747264741, 0.13457595317491464, -0.14641976297374756, -0.07561335775498597, -0.03638393598763893, 0.24880319387311972, -0.25964971132103415, -0.19917527669005924, 0.1325110093088052, -0.29962264378333375, -0.20503696003219202, 0.17793417668029193, -0.16149509528149214, 0.0656777269517382, -0.03433515804834546, 0.14453700922488694, -0.11555218700289963, -0.2162191230685465, 0.5041380459886222, 0.006182015636965396, 0.27478320755818414, 0.046107903211599306, 0.08887156062862939, -0.01646405133226561, -0.03243481292433682, -0.0468621021062727, -0.11833986680999044, 0.15851474069761082, 0.25212135689244386, 0.0325636132620275, 0.23002355691370746, -0.379850314397897, -0.1491082240901296, 0.18061606235624778, 0.11916599467781092, -0.013658520366464342, -0.04050093058437582, -0.2769369566923983, 0.06883696870996601, -0.12867711197644, -0.303894959811476, -0.053741795380437184, 0.010828140309997021, 0.014888425886128393, -0.21172743231531174, 0.13727106190922242, 0.14185895152863057, 0.03559249091065592, -0.14540771006547387, -0.07113052631861397, 0.03719547753118806, 0.11259183023745815, 0.06786189096358915, -0.0387496491450639, 0.08902447934572895, -0.06989413255544764, -0.09617460175373015, 0.345325245329785, -0.04888659595171847, -0.2680865228176117, 0.04343260947378382, -0.21120812434939637, -0.17109473149425217, 0.07488928374553484, 0.15426505815296893, 0.17064218798877268, -0.08392175071177975, 0.208197939357469, -0.06894577285718351, 0.039777283104033105, 0.08657135590467424, -0.010843088687767111, 0.145998205442632, 0.10921696963764373, 0.10751929161478839, 0.18192129478593994, 0.00925845895165814, -0.16232594261075267, -0.4029837877504409, -0.20026772834419732, -0.2099095484914465, 0.1592786158804619, -0.16996101751953127, -0.24417184198659564, 0.3963304019518315, -0.03525061725032708, 0.17534842244571164, 0.1586081704775256, 0.19787460065905063, 0.16277327568506791, 0.023566238153430206, 0.05859713289620621, 0.1440218073788971, 0.24165084019732025, 0.08919586598991401, -0.20717281124569356, -0.03615097990555186, 0.19350145523628545] |
710.232 | Random walk delayed on percolation clusters | We study a continuous time random walk on the $d$-dimensional lattice,
subject to a drift and an attraction to large clusters of a subcritical
Bernoulli site percolation. We find two distinct regimes: a ballistic one, and
a subballistic one taking place when the attraction is strong enough. We
identify the speed in the former case, and the algebraic rate of escape in the
latter case. Finally, we discuss the diffusive behavior in the case of zero
drift and weak attraction.
| math.PR | we study a continuous time random walk on the ddimensional lattice subject to a drift and an attraction to large clusters of a subcritical bernoulli site percolation we find two distinct regimes a ballistic one and a subballistic one taking place when the attraction is strong enough we identify the speed in the former case and the algebraic rate of escape in the latter case finally we discuss the diffusive behavior in the case of zero drift and weak attraction | [['we', 'study', 'a', 'continuous', 'time', 'random', 'walk', 'on', 'the', 'ddimensional', 'lattice', 'subject', 'to', 'a', 'drift', 'and', 'an', 'attraction', 'to', 'large', 'clusters', 'of', 'a', 'subcritical', 'bernoulli', 'site', 'percolation', 'we', 'find', 'two', 'distinct', 'regimes', 'a', 'ballistic', 'one', 'and', 'a', 'subballistic', 'one', 'taking', 'place', 'when', 'the', 'attraction', 'is', 'strong', 'enough', 'we', 'identify', 'the', 'speed', 'in', 'the', 'former', 'case', 'and', 'the', 'algebraic', 'rate', 'of', 'escape', 'in', 'the', 'latter', 'case', 'finally', 'we', 'discuss', 'the', 'diffusive', 'behavior', 'in', 'the', 'case', 'of', 'zero', 'drift', 'and', 'weak', 'attraction']] | [-0.1808246879139915, 0.17650936382869986, -0.06700584915815852, 0.07929001790034818, -0.020725889873574488, -0.14278393922722898, 0.09775998865370639, 0.3287694806640502, -0.295444921113085, -0.1399254351039417, 0.09033315731358016, -0.2819703057757579, -0.11608003317378461, 0.1513477323227562, 0.0026944700366584584, -0.019389326876262204, 0.012652990990318358, 0.07222974936012179, 0.011775256710825488, -0.2492705889599165, 0.2934806356774061, -0.020814534358214586, 0.2773219137452543, 0.06475285191554576, 0.08490561358630658, 0.014245006622513757, 0.03870139110367745, 0.060635954129975286, -0.20645820784848185, 0.018511907073116163, 0.1314306324289646, -0.01611915183602832, 0.3145835797535256, -0.40509565388783814, -0.19294095997756813, 0.16948335163178854, 0.1408552696579136, 0.13911733251879924, -0.04272470602445537, -0.2885392043768661, 0.02849747291766107, -0.1520564983598888, -0.17449035355821252, 0.023845687112770974, 0.07666875799477565, 0.0686817864945624, -0.30066228600917383, 0.09865417993278243, 0.12462877612560988, 0.007974411372561007, -0.06068747061071918, -0.0383693755211425, 0.024751896585803478, 0.15065255158006038, 0.07853080710337963, 0.005164455997874029, 0.10548504305188544, -0.13824133356101811, -0.07590632372885012, 0.37749948700657115, -0.08473163108646986, -0.19433311073225923, 0.2839202400180511, -0.2487810231745243, -0.12993067977949976, 0.13282945284736342, 0.19596054109279065, 0.09626100781024434, -0.11932127856216539, 0.09385616799991112, -0.01842804509215057, 0.10196019985014573, 0.053825754241552205, -0.020674554596189408, 0.15715293702087366, 0.16818286509660538, 0.1328940217703348, 0.19289904210017994, -0.14015154736989643, -0.16315776434494184, -0.3027360728010535, -0.138959241687553, -0.1927324723394122, 0.09395563610596583, -0.15477524222733335, -0.18579793237149717, 0.3778066292143194, 0.15609603747725487, 0.2414771174197085, 0.08003178865183144, 0.2294625522219576, 0.15224103165091946, -0.016867813759017736, 0.049658551753964275, 0.22165132262744008, 0.10342807288980112, 0.08974400184233673, -0.21402216656715609, 0.05365183465764858, 0.08914948821766303] |
710.2321 | Acoustic Probing of the Jamming Transition in an Unconsolidated Granular
Medium | Experiments with acoustic waves guided along the mechanically free surface of
an unconsolidated granular packed structure provide information on the
elasticity of granular media at very low pressures that are naturally
controlled by the gravitational acceleration and the depth beneath the surface.
Comparison of the determined dispersion relations for guided surface acoustic
modes with a theoretical model reveals the dependencies of the elastic moduli
of the granular medium on pressure. The experiments confirm recent theoretical
predictions that relaxation of the disordered granular packing through
non-affine motion leads to a peculiar scaling of shear rigidity with pressure
near the jamming transition corresponding to zero pressure. Unexpectedly, and
in disagreement with the most of the available theories, the bulk modulus
depends on pressure in a very similar way to the shear modulus.
| physics.class-ph cond-mat.soft | experiments with acoustic waves guided along the mechanically free surface of an unconsolidated granular packed structure provide information on the elasticity of granular media at very low pressures that are naturally controlled by the gravitational acceleration and the depth beneath the surface comparison of the determined dispersion relations for guided surface acoustic modes with a theoretical model reveals the dependencies of the elastic moduli of the granular medium on pressure the experiments confirm recent theoretical predictions that relaxation of the disordered granular packing through nonaffine motion leads to a peculiar scaling of shear rigidity with pressure near the jamming transition corresponding to zero pressure unexpectedly and in disagreement with the most of the available theories the bulk modulus depends on pressure in a very similar way to the shear modulus | [['experiments', 'with', 'acoustic', 'waves', 'guided', 'along', 'the', 'mechanically', 'free', 'surface', 'of', 'an', 'unconsolidated', 'granular', 'packed', 'structure', 'provide', 'information', 'on', 'the', 'elasticity', 'of', 'granular', 'media', 'at', 'very', 'low', 'pressures', 'that', 'are', 'naturally', 'controlled', 'by', 'the', 'gravitational', 'acceleration', 'and', 'the', 'depth', 'beneath', 'the', 'surface', 'comparison', 'of', 'the', 'determined', 'dispersion', 'relations', 'for', 'guided', 'surface', 'acoustic', 'modes', 'with', 'a', 'theoretical', 'model', 'reveals', 'the', 'dependencies', 'of', 'the', 'elastic', 'moduli', 'of', 'the', 'granular', 'medium', 'on', 'pressure', 'the', 'experiments', 'confirm', 'recent', 'theoretical', 'predictions', 'that', 'relaxation', 'of', 'the', 'disordered', 'granular', 'packing', 'through', 'nonaffine', 'motion', 'leads', 'to', 'a', 'peculiar', 'scaling', 'of', 'shear', 'rigidity', 'with', 'pressure', 'near', 'the', 'jamming', 'transition', 'corresponding', 'to', 'zero', 'pressure', 'unexpectedly', 'and', 'in', 'disagreement', 'with', 'the', 'most', 'of', 'the', 'available', 'theories', 'the', 'bulk', 'modulus', 'depends', 'on', 'pressure', 'in', 'a', 'very', 'similar', 'way', 'to', 'the', 'shear', 'modulus']] | [-0.14623124019171183, 0.24421888331965488, -0.13293985419620116, -0.028540116018400744, -0.08956142501153339, -0.07264484077906952, 0.03377516149238755, 0.35017612722093383, -0.31570086639392403, -0.2711353740941447, 0.0454002972996722, -0.3062729526311159, -0.1539159734500572, 0.19435224343771831, 0.016664943005889655, 0.08482147042299262, 0.004802849748431562, 0.022705015588703994, -0.0714506118844908, -0.16864284941246016, 0.296575310987492, 0.0893927672949548, 0.3550457527144597, 0.06987595087848604, 0.07110239817545964, -0.012838859418675734, 0.0006457439122291712, 0.1088285483401985, -0.20618665713622109, 0.11014190837024496, 0.21404306101164997, -0.04336330992026398, 0.1937057874004285, -0.46592024190781206, -0.2739439990443106, -0.014558899741118344, 0.07958410967929432, 0.10575983870344666, -0.06301075075753033, -0.2581446684395465, 0.04800614744084529, -0.08483374163400954, -0.13030803295640417, -0.04954118938543475, 0.01601837632031395, 0.037102401449989816, -0.18337516727221484, 0.16593753502820618, 0.025842407646660622, 0.08853394978034955, -0.14207539001766306, -0.07515956030872006, -0.06797227196646138, 0.0656532283872366, 0.08862481975050357, 0.015193749059779714, 0.2065894358809321, -0.1825428942558714, -0.005934057933672403, 0.44195850373317414, -0.07539022400652846, -0.14270079756724255, 0.24881690912521803, -0.15369576071389018, -0.049747752566606955, 0.1969270284502552, 0.19119259128347038, 0.04144984248022621, -0.091469652424656, -0.0003608860852322183, -0.03324828513700945, 0.1701208334362421, 0.10010162122690906, -0.030222766072704244, 0.25150753033275786, 0.20477237502345816, 0.03057295233011246, 0.13835542800549705, -0.08792744795970905, -0.02833336878281373, -0.30967770949579204, -0.1280159431581314, -0.17090543795806856, -0.01616212563911596, -0.13554638713002742, -0.2143261756712141, 0.30215816555114894, 0.1039548441910973, 0.2238649848006809, 0.07054823168481772, 0.2578750498037642, 0.04829964093380393, 0.053140901100750156, 0.08083822854722922, 0.32551959850467166, 0.20144599091369086, 0.10077565055197248, -0.27118055423847043, 0.07170353477301362, 0.026119920577352438] |
710.2322 | Long-living superpartners in the MSSM | The parameter space of the Constrained Minimal supersymmetric Standard Model
is considered. It is shown that for the particular choice of parameters there
are some regions where long-living charged superparticles exist. Two regions of
interest are the co-annihilation region with light staus, and the region with
large negative trilinear scalar coupling A distinguished by light stops. The
phenomenology of long-living superparticles is briefly discussed.
| hep-ph | the parameter space of the constrained minimal supersymmetric standard model is considered it is shown that for the particular choice of parameters there are some regions where longliving charged superparticles exist two regions of interest are the coannihilation region with light staus and the region with large negative trilinear scalar coupling a distinguished by light stops the phenomenology of longliving superparticles is briefly discussed | [['the', 'parameter', 'space', 'of', 'the', 'constrained', 'minimal', 'supersymmetric', 'standard', 'model', 'is', 'considered', 'it', 'is', 'shown', 'that', 'for', 'the', 'particular', 'choice', 'of', 'parameters', 'there', 'are', 'some', 'regions', 'where', 'longliving', 'charged', 'superparticles', 'exist', 'two', 'regions', 'of', 'interest', 'are', 'the', 'coannihilation', 'region', 'with', 'light', 'staus', 'and', 'the', 'region', 'with', 'large', 'negative', 'trilinear', 'scalar', 'coupling', 'a', 'distinguished', 'by', 'light', 'stops', 'the', 'phenomenology', 'of', 'longliving', 'superparticles', 'is', 'briefly', 'discussed']] | [-0.14562070267311356, 0.3221420061890967, 0.04093116463627666, 0.16685975077962212, -0.08101099741907092, -0.24113054118788568, -0.010234861285425723, 0.3332817634291132, -0.22145300032570958, -0.26460843681707047, 0.10738247551853419, -0.2793466591683682, -0.07811268922523595, 0.1713528760265035, -3.630971423262963e-05, 0.018848263513064012, 0.07227209927805234, 0.018471842238795944, -0.009286752861953573, -0.22947152913548052, 0.33245215464557987, -0.016237574393016985, 0.17415229239850305, 0.07464522735244827, 0.06423325133800972, -0.05835187192860758, -0.002787143013847526, -0.013347439723020216, -0.14695604232758797, 0.09700837489435798, 0.21302883519092575, 0.09402567534561967, 0.17049717664485797, -0.34224815637571737, -0.2245906955358805, 0.20993090060073882, 0.1779446117943735, 0.05241894878417952, -0.11634817479352932, -0.296075905993348, 0.05393864783400204, -0.13077372723637382, -0.14029882303293562, -0.031143367727054283, -0.008352519595064223, -0.06550236724433489, -0.2918434505845653, 0.05776470582350157, -0.0482385686627822, -0.05402112691081129, 0.011511461105328635, -0.13463093354584998, -0.10097582867456367, 0.007576944248285145, 0.18584986092355393, -0.04581186186260311, 0.17148943559732288, -0.18080645355803426, -0.06896675376265193, 0.380774543795269, -0.05035916529595852, -0.23567789897788316, 0.17975833577656886, -0.1819618879344489, -0.118157580611296, 0.13369176448031794, 0.11707564271637239, 0.1584809368941933, -0.13515221002262479, 0.20469890478034358, -0.08131270393187151, 0.13006907388626132, 0.038944653715589084, 0.10887148101028288, 0.29007168623502366, 0.212744741813367, 0.041641161078587174, 0.1108605093031656, -0.07967041365918703, -0.1728702540276572, -0.4226540970848873, -0.08230346757045481, -0.07610643052612431, -0.0693016138538951, -0.12756900307408614, -0.11542583526306771, 0.39907262410997646, 0.06585221968271071, 0.2506626802642131, -0.030405930665438063, 0.2466459974530153, 0.08293121604947373, 0.06781467693508603, 0.03743971346557373, 0.3731816880049337, 0.1121653952759516, 0.08457956291385926, -0.19033546419359482, 0.004622572771040723, 0.019339729162311414] |
710.2323 | The role of spin noise in the detection of nanoscale ensembles of
nuclear spins | When probing nuclear spins in materials on the nanometer scale, random
fluctuations of the spin polarization will exceed the mean Boltzmann
polarization for sample volumes below about (100nm)^3. In this work, we use
magnetic resonance force microscopy to observe nuclear spin fluctuations in
real time. We show how reproducible measurements of the polarization variance
can be obtained by controlling the spin correlation time and rapidly sampling a
large number of independent spin configurations. A protocol to periodically
randomize the spin ensemble is demonstrated, allowing significant improvement
in the signal-to-noise ratio for nanometer-scale magnetic resonance imaging.
| cond-mat.mes-hall | when probing nuclear spins in materials on the nanometer scale random fluctuations of the spin polarization will exceed the mean boltzmann polarization for sample volumes below about 100nm3 in this work we use magnetic resonance force microscopy to observe nuclear spin fluctuations in real time we show how reproducible measurements of the polarization variance can be obtained by controlling the spin correlation time and rapidly sampling a large number of independent spin configurations a protocol to periodically randomize the spin ensemble is demonstrated allowing significant improvement in the signaltonoise ratio for nanometerscale magnetic resonance imaging | [['when', 'probing', 'nuclear', 'spins', 'in', 'materials', 'on', 'the', 'nanometer', 'scale', 'random', 'fluctuations', 'of', 'the', 'spin', 'polarization', 'will', 'exceed', 'the', 'mean', 'boltzmann', 'polarization', 'for', 'sample', 'volumes', 'below', 'about', '100nm3', 'in', 'this', 'work', 'we', 'use', 'magnetic', 'resonance', 'force', 'microscopy', 'to', 'observe', 'nuclear', 'spin', 'fluctuations', 'in', 'real', 'time', 'we', 'show', 'how', 'reproducible', 'measurements', 'of', 'the', 'polarization', 'variance', 'can', 'be', 'obtained', 'by', 'controlling', 'the', 'spin', 'correlation', 'time', 'and', 'rapidly', 'sampling', 'a', 'large', 'number', 'of', 'independent', 'spin', 'configurations', 'a', 'protocol', 'to', 'periodically', 'randomize', 'the', 'spin', 'ensemble', 'is', 'demonstrated', 'allowing', 'significant', 'improvement', 'in', 'the', 'signaltonoise', 'ratio', 'for', 'nanometerscale', 'magnetic', 'resonance', 'imaging']] | [-0.1469937492895158, 0.2532855581759693, -0.036565396238732686, 0.043560662643706546, -0.0012755116764852342, -0.10177179233002615, 0.025267469870704325, 0.4140055459389027, -0.2716979229218386, -0.34109703792219465, 0.0481569151780469, -0.2702798928986204, -0.047069729266173026, 0.22351316428257825, 0.027741063326755737, 0.049750731143347444, 0.01966730352154279, -0.015210566754908637, -0.05991709304904129, -0.20187242825495752, 0.2405202803372262, 0.08690174839439545, 0.3165067020664982, 0.07211294763181557, 0.106918151183252, 0.07476134767181221, 0.031591257199327996, 0.046962616966413136, -0.1008156720806468, 0.04855744711103591, 0.23748446441196064, 0.0028905659409189112, 0.22097661120301865, -0.44344494750367497, -0.18664785553800298, 0.1074749878013229, 0.16563697314345616, 0.19613612201461134, -0.04627408044774363, -0.24719805650888604, 0.019546508753147136, -0.10039335081571753, -0.13237392754254348, -0.1516374317096903, 0.003573388931282023, 0.020407136782330085, -0.27080007360633856, 0.13360616246218535, 0.021653516277512337, 0.09734060599448834, -0.05874745456125349, -0.11895443647208208, 0.020975738327870978, 0.0821229036457148, 0.02360622841181194, 0.06329159334950903, 0.24421414238539466, -0.12674807560595466, -0.1360960331977038, 0.28074472472864265, -0.08403291980775589, -0.16363854743193518, 0.09701541808750877, -0.27490704769684754, -0.08369165436027849, 0.15392606899617833, 0.21131937061139244, 0.1120703447005771, -0.1364874239904779, 0.017271479811554063, 0.01873987672870305, 0.24279610616987216, 0.07124531322574996, 0.0750877385106968, 0.25363749654052103, 0.19154741707941556, 0.07940741273217854, 0.11481567040120469, -0.18760673132071154, -0.07104811635106167, -0.19562555374478566, -0.1323801146899449, -0.2691374676725629, 0.12444050967609113, -0.12209263226457628, -0.11143331915298675, 0.39320195353332354, 0.21445313294200188, 0.17775021030745924, 0.0019401978092030325, 0.3110722535230378, 0.06239651348516147, 0.1028182470299145, 0.016260790101133606, 0.2773519695836783, 0.19260642848205456, 0.11777250284943333, -0.30798099598193424, 0.048676671011948044, -0.08393285186228125] |
710.2324 | Study of $\psi(2S)$ decays into $\gamma K^+K^-$ and $\gamma \pi^+\pi^-$ | Radiative charmonium decays from the BESII sample of 14$\times10^{6}$
$\psi(2S)$-events into two different final states, $\gamma K^+K^-$ and
$\gamma\pi^+\pi^-$, are analyzed. Product branching fractions for
$\psi(2S)\to\gamma X\to \gamma\pi^+\pi^-$, $\gamma K^+K^-$ are given, where
$X=f_2(1270)$, $f_0(1500)$, and $f_0(1710)$ in $\pi^+\pi^-$ and $f_2(1270)$,
$f_2'(1525)$, and $f_0(1700)$ in $K^+K^-$. An angular analysis gives the ratios
of the helicity projections for the $f_2(1270)$ in $\psi(2S)\to\gamma
f_2(1270)\to\gamma\pi^+\pi^-$.
| hep-ex | radiative charmonium decays from the besii sample of 14times106 psi2sevents into two different final states gamma kk and gammapipi are analyzed product branching fractions for psi2stogamma xto gammapipi gamma kk are given where xf_21270 f_01500 and f_01710 in pipi and f_21270 f_21525 and f_01700 in kk an angular analysis gives the ratios of the helicity projections for the f_21270 in psi2stogamma f_21270togammapipi | [['radiative', 'charmonium', 'decays', 'from', 'the', 'besii', 'sample', 'of', '14times106', 'psi2sevents', 'into', 'two', 'different', 'final', 'states', 'gamma', 'kk', 'and', 'gammapipi', 'are', 'analyzed', 'product', 'branching', 'fractions', 'for', 'psi2stogamma', 'xto', 'gammapipi', 'gamma', 'kk', 'are', 'given', 'where', 'xf_21270', 'f_01500', 'and', 'f_01710', 'in', 'pipi', 'and', 'f_21270', 'f_21525', 'and', 'f_01700', 'in', 'kk', 'an', 'angular', 'analysis', 'gives', 'the', 'ratios', 'of', 'the', 'helicity', 'projections', 'for', 'the', 'f_21270', 'in', 'psi2stogamma', 'f_21270togammapipi']] | [-0.09775033414916834, 0.2957432008388423, -0.08148218890632311, 0.1368849392581199, -0.0032420551786864443, -0.09611293360857028, 0.046489075377134474, 0.28526670479082633, -0.17059697985782155, -0.17226438141161843, -0.10716448872075748, -0.37126554841441767, 0.0726231184255864, 0.14424636173394642, 0.13763796760966734, 0.12248598165544015, 0.10389871558436425, 0.00952145058129515, 0.019631912765492286, -0.11369771989328521, 0.3072533859438928, -0.06929643121215381, 0.18683883708269736, 0.10075942351249978, -0.08442685380578041, 0.01788637537642249, -0.09048206456437972, -0.15714936989492603, -0.18755844245398684, -0.0224754920065087, 0.296233868292932, 0.14354635109858854, 0.04596317122091672, -0.26863954596709455, 0.02726440430706134, 0.13868659299000033, 0.245842926520189, 0.0005301689463002342, 0.055651987520312626, -0.38412965847445385, 0.14178211987018585, -0.17557071684028155, 0.027321257212731456, -0.07538106771452087, 0.07965225632298305, -0.13067875453270972, -0.37734450163718847, 0.09698157587886921, -0.054447158871750743, 0.022125443842794214, -0.07017780482835535, -0.38527774132256, -0.13562822619652642, 0.025025096439224268, 0.175704193085299, 0.06623149243283219, 0.16218348256578402, -0.11065864130588514, -0.16583013331650623, 0.3608142806416644, -0.0725301494442517, -0.21366371154519065, 0.11278830316483177, -0.20514948117280646, -0.1761549076015529, 0.2395058547554072, 0.2315932779789104, 0.032701880022484274, -0.11606921885894346, 0.15625637177228263, -0.0137237941047975, 0.11186797534381705, 0.1339502153153132, 0.12540542193372467, 0.1444866362227393, 0.11632569920870342, -0.11105567289216976, 0.09186739607581071, -0.07627854043883937, -0.027757652203685472, -0.37481829524663873, -0.16393694580931747, -0.023675271210127642, 0.13823308611296983, -0.06777625545821918, -0.07297016888125134, 0.31158204157171504, -0.1252443016273901, 0.3287765046614887, 0.030178292296893363, 0.30641932462874266, 0.09636179627185422, 0.00021837473780448948, 0.07353748748677649, 0.30248764672848794, 0.2997391985429983, 0.08932679857493245, -0.2975719023088459, -0.049174125717919584, 0.029293393599800766] |
710.2325 | SU(5) Completion of the Dark Scalar Doublet Model of Radiative Neutrino
Mass | Adding a second scalar doublet (eta^+,eta^0) and three neutral singlet
fermions N_{1,2,3} to the Standard Model of particle interactions with a new
Z_2 symmetry, it has been shown that eta^0_R or eta^0_I is a good dark-matter
candidate and seesaw neutrino masses are generated radiatively. A minimal
extension of this new idea is proposed to allow for its SU(5) completion.
Supersymmetric unification is then possible, and leptoquarks of a special kind
are predicted at the TeV scale.
| hep-ph | adding a second scalar doublet etaeta0 and three neutral singlet fermions n_123 to the standard model of particle interactions with a new z_2 symmetry it has been shown that eta0_r or eta0_i is a good darkmatter candidate and seesaw neutrino masses are generated radiatively a minimal extension of this new idea is proposed to allow for its su5 completion supersymmetric unification is then possible and leptoquarks of a special kind are predicted at the tev scale | [['adding', 'a', 'second', 'scalar', 'doublet', 'etaeta0', 'and', 'three', 'neutral', 'singlet', 'fermions', 'n_123', 'to', 'the', 'standard', 'model', 'of', 'particle', 'interactions', 'with', 'a', 'new', 'z_2', 'symmetry', 'it', 'has', 'been', 'shown', 'that', 'eta0_r', 'or', 'eta0_i', 'is', 'a', 'good', 'darkmatter', 'candidate', 'and', 'seesaw', 'neutrino', 'masses', 'are', 'generated', 'radiatively', 'a', 'minimal', 'extension', 'of', 'this', 'new', 'idea', 'is', 'proposed', 'to', 'allow', 'for', 'its', 'su5', 'completion', 'supersymmetric', 'unification', 'is', 'then', 'possible', 'and', 'leptoquarks', 'of', 'a', 'special', 'kind', 'are', 'predicted', 'at', 'the', 'tev', 'scale']] | [-0.08039876899675692, 0.2425348907834976, -0.017786247659682272, 0.19686109021721357, -0.14415408424227624, -0.24113804912760956, -0.02986990024864271, 0.35404652567907563, -0.18731621007837757, -0.3172504043936528, 0.05505764207211197, -0.2696511316320834, -0.04689857005330457, 0.08109686050620685, 0.034255578903154144, 0.04583308871479932, -0.026976783174669016, 0.03622602781822049, -0.053401366641549895, -0.2619850488625014, 0.2930474782085701, 0.03014991616175787, 0.18544520259318822, 0.05729052601256282, 0.11984826457007108, -0.10149530709620465, 0.01885285264988606, -0.1024999703230286, -0.04299480117894033, 0.1026898079828636, 0.13334655670474307, 0.06574089627876575, 0.1505568350312879, -0.3444966608658433, -0.1876285234466195, 0.19253781245316606, 0.1422069495782961, 0.11418053183729786, -0.14624054481376064, -0.3212142769196952, 0.13361178839900154, -0.26125776371289344, -0.11854305351153016, -0.06205905443434981, -0.052853317427876835, -0.13907302928635398, -0.3769509620159059, 0.045167286527922026, -0.034516802623968675, -0.004019993390397144, 0.011362861500536973, -0.1131415328205991, -0.08127884016170897, -0.021599879711740523, 0.17095342910426944, -0.006489706792038035, 0.1098416101461201, -0.1582065378284283, -0.17402530633498337, 0.4666908004799405, -0.11079784921949377, -0.17127770422076857, 0.19045859531537201, -0.07235720588800472, -0.15864423014273918, 0.12256353533027593, 0.10393520133771203, 0.08485700112273539, -0.17850981998206997, 0.1905752722704091, -0.13696491859249166, 0.1768775589361384, 0.019998988551968657, 0.014703901654512092, 0.3025996533499376, 0.23674200453820662, 0.05454756698344607, 0.03610980606361015, -0.05606861654794901, -0.09114728117994084, -0.4107482995133142, -0.162015892754032, -0.13205214020972317, 0.03648569935231117, -0.04260848233467629, -0.09030609022365015, 0.4698709995561355, 0.11426680637020115, 0.19307938117275922, 0.03995932377497288, 0.2535873819457216, 0.06015358390789982, 0.140194147265189, 0.00709316143262628, 0.28284289943356367, 0.12790755897357658, 0.042346299298711726, -0.1823622437757975, -0.08147998269949411, 0.12059139187221189] |
710.2326 | The resultant on compact Riemann surfaces | We introduce a notion of resultant of two meromorphic functions on a compact
Riemann surface and demonstrate its usefulness in several respects. For
example, we exhibit several integral formulas for the resultant, relate it to
potential theory and give explicit formulas for the algebraic dependence
between two meromorphic functions on a compact Riemann surface. As a particular
application, the exponential transform of a quadrature domain in the complex
plane is expressed in terms of the resultant of two meromorphic functions on
the Schottky double of the domain.
| math.AG math.CV | we introduce a notion of resultant of two meromorphic functions on a compact riemann surface and demonstrate its usefulness in several respects for example we exhibit several integral formulas for the resultant relate it to potential theory and give explicit formulas for the algebraic dependence between two meromorphic functions on a compact riemann surface as a particular application the exponential transform of a quadrature domain in the complex plane is expressed in terms of the resultant of two meromorphic functions on the schottky double of the domain | [['we', 'introduce', 'a', 'notion', 'of', 'resultant', 'of', 'two', 'meromorphic', 'functions', 'on', 'a', 'compact', 'riemann', 'surface', 'and', 'demonstrate', 'its', 'usefulness', 'in', 'several', 'respects', 'for', 'example', 'we', 'exhibit', 'several', 'integral', 'formulas', 'for', 'the', 'resultant', 'relate', 'it', 'to', 'potential', 'theory', 'and', 'give', 'explicit', 'formulas', 'for', 'the', 'algebraic', 'dependence', 'between', 'two', 'meromorphic', 'functions', 'on', 'a', 'compact', 'riemann', 'surface', 'as', 'a', 'particular', 'application', 'the', 'exponential', 'transform', 'of', 'a', 'quadrature', 'domain', 'in', 'the', 'complex', 'plane', 'is', 'expressed', 'in', 'terms', 'of', 'the', 'resultant', 'of', 'two', 'meromorphic', 'functions', 'on', 'the', 'schottky', 'double', 'of', 'the', 'domain']] | [-0.1609557326401359, 0.008035856266987735, -0.11444660525597718, 0.12574236751293186, -0.10066212896771472, -0.05951917673536073, 0.0194731769031556, 0.34841369439301817, -0.2595274918338006, -0.21878173360708117, 0.1075917400818468, -0.22266871253585166, -0.22905669312110577, 0.3152638739938366, -0.021425719199977794, 0.03525848008475491, -0.017185914244545603, 0.0633025755624062, -0.1699490000161974, -0.22060415181652482, 0.41336126330619055, -0.09011745246277116, 0.2335842343759134, 0.12353270537830119, 0.14341626371974234, 0.016243976771017944, -0.022247426393816525, -0.04845526269583524, -0.10887518245726824, 0.16356096304310808, 0.2458896166377369, 0.08676896081573662, 0.2333804602338665, -0.44539259872988035, -0.17562085618639642, 0.10797628614751772, 0.1173510216015937, -0.01000416992050221, -0.043078778023917186, -0.22268554676409769, 0.0682507350227271, -0.14748700023040004, -0.18558537927001242, -0.08873617515267654, 0.034540907399536205, 0.07456009792185378, -0.21748898258625432, 0.01582072037218631, 0.06649250244914458, 0.06756468112419906, -0.08123467758902744, -0.11356497319259991, -0.028402379186738325, 0.07609336707077322, 0.026250107842765148, 0.04726670441035738, 0.07956098087517352, -0.11207564111435037, -0.08760007787174706, 0.3071944633841343, -0.08509846597952747, -0.3241290584120942, 0.15436659941192846, -0.16177698472600388, -0.13115387683969804, 0.10210656521349461, 0.15686910596258682, 0.1605134559313542, -0.08953898497750105, 0.17376731598251982, -0.05770406931981273, 0.08654449804118652, 0.1329056608180205, 0.03248358840636652, 0.1808659106241432, 0.08779304628474531, 0.059351365638618495, 0.21596860818179517, -0.0540148862931963, -0.10740012703356387, -0.375647599412792, -0.21722314695174666, -0.15771276571911, 0.03537963503093897, -0.13665291363468404, -0.269149804295137, 0.47035151657958824, 0.02432585533322959, 0.19521668751927457, 0.1146099710430222, 0.23820518304047913, 0.1722030555869549, 0.05338785906011859, -0.017845206038679142, 0.14135076980181466, 0.18348513890443177, 0.023824079219123412, -0.1953432564837751, 0.018987359532593995, 0.1329434667874513] |
710.2327 | Theory of shot noise in single-walled metallic carbon nanotubes weakly
coupled to nonmagnetic and ferromagnetic leads | We present theoretical study of shot noise in single wall metallic carbon
nanotubes weakly coupled to either nonmagnetic or ferromagnetic leads. Using
the real-time diagrammatic technique, we calculate the current, Fano factor and
tunnel magnetoresistance in the sequential tunneling regime. It is shown that
the differential conductance displays characteristic four-fold periodicity,
indicating single-electron charging. Such a periodicity is also visible in
tunnel magnetoresistance of the system as well as in the Fano factor. The
present studies elucidate the impact of ferromagnetic (vs. nonmagnetic)
contacts on the transport characteristics under consideration.
| cond-mat.mes-hall cond-mat.mtrl-sci | we present theoretical study of shot noise in single wall metallic carbon nanotubes weakly coupled to either nonmagnetic or ferromagnetic leads using the realtime diagrammatic technique we calculate the current fano factor and tunnel magnetoresistance in the sequential tunneling regime it is shown that the differential conductance displays characteristic fourfold periodicity indicating singleelectron charging such a periodicity is also visible in tunnel magnetoresistance of the system as well as in the fano factor the present studies elucidate the impact of ferromagnetic vs nonmagnetic contacts on the transport characteristics under consideration | [['we', 'present', 'theoretical', 'study', 'of', 'shot', 'noise', 'in', 'single', 'wall', 'metallic', 'carbon', 'nanotubes', 'weakly', 'coupled', 'to', 'either', 'nonmagnetic', 'or', 'ferromagnetic', 'leads', 'using', 'the', 'realtime', 'diagrammatic', 'technique', 'we', 'calculate', 'the', 'current', 'fano', 'factor', 'and', 'tunnel', 'magnetoresistance', 'in', 'the', 'sequential', 'tunneling', 'regime', 'it', 'is', 'shown', 'that', 'the', 'differential', 'conductance', 'displays', 'characteristic', 'fourfold', 'periodicity', 'indicating', 'singleelectron', 'charging', 'such', 'a', 'periodicity', 'is', 'also', 'visible', 'in', 'tunnel', 'magnetoresistance', 'of', 'the', 'system', 'as', 'well', 'as', 'in', 'the', 'fano', 'factor', 'the', 'present', 'studies', 'elucidate', 'the', 'impact', 'of', 'ferromagnetic', 'vs', 'nonmagnetic', 'contacts', 'on', 'the', 'transport', 'characteristics', 'under', 'consideration']] | [-0.21503204704495146, 0.08901495319894619, -0.0342267919331789, 0.033317688974137935, -0.011574755989325542, -0.20816022644543813, 0.08014398142824777, 0.40586316238881814, -0.2522435257004367, -0.29467873852699994, -0.03159478326948981, -0.3045975309974488, -0.1790175367276081, 0.21290585565535972, -0.02495342311449349, -0.017886171818746435, 0.020298235356393787, -0.025532283796928824, -0.04714961044955999, -0.21404694529871146, 0.2952186866559916, -0.003240439789887104, 0.347919705334223, 0.10722331445754713, 0.03091874619179483, 0.02560574874126663, 0.09753089984361496, 0.06472569833406144, -0.1452023268086325, -0.016991475762592422, 0.21589868052914324, -0.14215853043004043, 0.1592933560980277, -0.4713458142346806, -0.16800169478067092, -0.011434520021753592, 0.14690544907417563, 0.1445348978870445, -0.0390958473060487, -0.26414720269127023, 0.04686586074531078, -0.1337130286316905, -0.09195664909461307, -0.08462623872910627, -0.0462735787137515, 0.013547191393768622, -0.22719577755779027, 0.11041847471270659, 0.06534765933045289, 0.08804396618054144, -0.009905087306267685, -0.09868461763253436, -0.0246995885649489, 0.05259713040302611, 0.039570954695550935, -0.03196230510301474, 0.22768577528703543, -0.12153027255812453, -0.13440737173789077, 0.3230024016565747, -0.11725829158547438, -0.10063036231117116, 0.14128548991349008, -0.22658830216775339, -0.04411983663837115, 0.17170298148153557, 0.09565635400617288, 0.11746127802050776, -0.18380001353927786, 0.060405580703971076, -0.0071979009132418365, 0.15331569998654435, 0.06660922037230597, 0.0705434093096604, 0.23605505118353498, 0.2865804754818479, 0.05442747190180752, 0.15502147983966602, -0.18234049333000762, -0.043120054921342264, -0.23353904652305776, -0.15466935641080554, -0.1657797623322242, 0.16398987027092113, -0.03348612443320841, -0.24320993180380254, 0.39964614593320424, 0.13570309491414162, 0.18418015388564932, -0.060675981811558206, 0.3034236366343167, 0.15855594291093034, 0.05341804322476188, -0.017019936970124643, 0.23251534442210364, 0.1816372625452156, 0.14051293157972394, -0.3316327500157058, 0.08519193505764835, -0.04352507755781213] |
710.2328 | An approach to the finitistic dimension conjecture | Let $R$ be a finite dimensional $k$-algebra over an algebraically closed
field $k$ and $\mathrm{mod} R$ be the category of all finitely generated left
$R$-modules. For a given full subcategory $\mathcal{X}$ of $\mathrm{mod} R,$ we
denote by $\pfd \mathcal{X}$ the projective finitistic dimension of
$\mathcal{X}.$ That is, $\pfd \mathcal{X}:=\mathrm{sup} \{\pd X :
X\in\mathcal{X} \text{and} \pd X<\infty\}.$ \
It was conjectured by H. Bass in the 60's that the projective finitistic
dimension $\pfd (R):=\pfd (\mathrm{mod} R)$ has to be finite. Since then, much
work has been done toward the proof of this conjecture. Recently, K. Igusa and
J. Todorov defined a function $\Psi:\mathrm{mod} R\to \Bbb{N},$ which turned
out to be useful to prove that $\pfd (R)$ is finite for some classes of
algebras. In order to have a different approach to the finitistic dimension
conjecture, we propose to consider a class of full subcategories of
$\mathrm{mod} R$ instead of a class of algebras, namely to take the class of
categories $\F(\theta)$ of $\theta$-filtered $R$-modules for all stratifying
systems $(\theta,\leq)$ in $\mathrm{mod} R.$
| math.RT | let r be a finite dimensional kalgebra over an algebraically closed field k and mathrmmod r be the category of all finitely generated left rmodules for a given full subcategory mathcalx of mathrmmod r we denote by pfd mathcalx the projective finitistic dimension of mathcalx that is pfd mathcalxmathrmsup pd x xinmathcalx textand pd xinfty it was conjectured by h bass in the 60s that the projective finitistic dimension pfd rpfd mathrmmod r has to be finite since then much work has been done toward the proof of this conjecture recently k igusa and j todorov defined a function psimathrmmod rto bbbn which turned out to be useful to prove that pfd r is finite for some classes of algebras in order to have a different approach to the finitistic dimension conjecture we propose to consider a class of full subcategories of mathrmmod r instead of a class of algebras namely to take the class of categories ftheta of thetafiltered rmodules for all stratifying systems thetaleq in mathrmmod r | [['let', 'r', 'be', 'a', 'finite', 'dimensional', 'kalgebra', 'over', 'an', 'algebraically', 'closed', 'field', 'k', 'and', 'mathrmmod', 'r', 'be', 'the', 'category', 'of', 'all', 'finitely', 'generated', 'left', 'rmodules', 'for', 'a', 'given', 'full', 'subcategory', 'mathcalx', 'of', 'mathrmmod', 'r', 'we', 'denote', 'by', 'pfd', 'mathcalx', 'the', 'projective', 'finitistic', 'dimension', 'of', 'mathcalx', 'that', 'is', 'pfd', 'mathcalxmathrmsup', 'pd', 'x', 'xinmathcalx', 'textand', 'pd', 'xinfty', 'it', 'was', 'conjectured', 'by', 'h', 'bass', 'in', 'the', '60s', 'that', 'the', 'projective', 'finitistic', 'dimension', 'pfd', 'rpfd', 'mathrmmod', 'r', 'has', 'to', 'be', 'finite', 'since', 'then', 'much', 'work', 'has', 'been', 'done', 'toward', 'the', 'proof', 'of', 'this', 'conjecture', 'recently', 'k', 'igusa', 'and', 'j', 'todorov', 'defined', 'a', 'function', 'psimathrmmod', 'rto', 'bbbn', 'which', 'turned', 'out', 'to', 'be', 'useful', 'to', 'prove', 'that', 'pfd', 'r', 'is', 'finite', 'for', 'some', 'classes', 'of', 'algebras', 'in', 'order', 'to', 'have', 'a', 'different', 'approach', 'to', 'the', 'finitistic', 'dimension', 'conjecture', 'we', 'propose', 'to', 'consider', 'a', 'class', 'of', 'full', 'subcategories', 'of', 'mathrmmod', 'r', 'instead', 'of', 'a', 'class', 'of', 'algebras', 'namely', 'to', 'take', 'the', 'class', 'of', 'categories', 'ftheta', 'of', 'thetafiltered', 'rmodules', 'for', 'all', 'stratifying', 'systems', 'thetaleq', 'in', 'mathrmmod', 'r']] | [-0.16831969950779727, 0.046100967476466, -0.08186699017859632, 0.021613115507956002, -0.04992956202193277, -0.21940183403288446, -0.06546377668032287, 0.3459678533282585, -0.3530605667719345, -0.15114390632569244, 0.0820531064762291, -0.22586158266228556, -0.04910970921202267, 0.1874914714759897, -0.13115145016189028, -0.0457779430562812, 0.010377299514735436, 0.10767582754275148, -0.026975808768794393, -0.37331033196078794, 0.3664335003179475, -0.03876656364570031, 0.17042650177271998, 0.03657975674765866, 0.11174414935095872, 0.0012102927430532873, -0.0018483068731545312, 0.07163304993144531, -0.21570218157546883, 0.08404465177289505, 0.3559525141878644, 0.12301790603101481, 0.2745920700914079, -0.3025814020429829, -0.152791742755032, 0.24250312528868273, 0.1645944078024136, -0.037897380648845264, 0.053610574231176385, -0.2785670072601245, 0.22526843761088236, -0.2283152489860474, -0.11507822096166087, -0.0474335257724927, 0.21039251794416752, -0.05263713059063842, -0.3239626854817133, -0.05465312866442951, 0.12590898229511988, 0.16355235740633273, -0.024756870530659288, -0.14063301059508287, -0.0862296512577592, 0.0496490384833944, -0.044553848845946674, 0.08699158481861714, 0.048900027228405744, -0.041903970881499046, -0.10011430179541249, 0.32134571213774926, -0.05909329058500234, -0.20694857464376382, 0.10316065675720981, -0.20411657789585794, -0.12362860869502694, 0.13718978878786425, 0.04607534307486764, 0.1980925099583479, -0.02868302418494018, 0.2792200079271513, -0.1542788402166036, 0.0828663499815753, 0.08578790282041243, -0.009975083845258668, 0.10967481289649518, 0.08992912998797781, 0.034919470687760266, 0.12781897956141974, -0.0026621747216800363, 0.04130410003793857, -0.3144352267689367, -0.22682903270611948, -0.1373855262901066, 0.2144024295138945, -0.09173408918144471, -0.12113700582498185, 0.3742707472907879, 0.10268738427271829, 0.18354483891460227, 0.14969715048351734, 0.1791453923712053, 0.025928357326448326, 0.06651843107225965, 0.0664323568741632, 0.08446007643037663, 0.23520560618688738, -0.026289932984182973, -0.08494913888095719, -0.012925588250410085, 0.2258048689662956] |
710.2329 | Magnetic Moment of Vector Mesons in the Background Field Method | We report some results for the magnetic moments of vector mesons extracted
from mass shifts in the presence of static external magnetic fields. The
calculations are done on $24^4$ quenched lattices using standard Wilson
actions, with $\beta$=6.0 and pion mass down to 500 MeV. The results are
compared to those from the form factor method.
| hep-lat | we report some results for the magnetic moments of vector mesons extracted from mass shifts in the presence of static external magnetic fields the calculations are done on 244 quenched lattices using standard wilson actions with beta60 and pion mass down to 500 mev the results are compared to those from the form factor method | [['we', 'report', 'some', 'results', 'for', 'the', 'magnetic', 'moments', 'of', 'vector', 'mesons', 'extracted', 'from', 'mass', 'shifts', 'in', 'the', 'presence', 'of', 'static', 'external', 'magnetic', 'fields', 'the', 'calculations', 'are', 'done', 'on', '244', 'quenched', 'lattices', 'using', 'standard', 'wilson', 'actions', 'with', 'beta60', 'and', 'pion', 'mass', 'down', 'to', '500', 'mev', 'the', 'results', 'are', 'compared', 'to', 'those', 'from', 'the', 'form', 'factor', 'method']] | [-0.08071696199476719, 0.23502503389661963, -0.013903528265655041, 0.08032262203368273, -0.020273543596373532, -0.03488258278336037, 0.09374761320650578, 0.4483345102180134, -0.15848450772464276, -0.33555922928181564, 0.04431962936227633, -0.33849437988617204, -0.007049313077533787, 0.20425034566274422, 0.07802873556925492, 0.04621471643490209, 0.04520067353732884, 0.07661448395387693, -0.11994485706090927, -0.21990395135838878, 0.33994959010319276, 0.002847762397405776, 0.25109930478713727, 0.0859681927006353, -0.0010869416323575107, -0.0016695602627640421, -0.02289857469837774, -0.004784450781616298, -0.09590541328388182, 0.08028623641214587, 0.11414498886178163, -0.018440725755962457, 0.1574238287369636, -0.3741553336381912, -0.1374866778708317, 0.040799326585097745, 0.10222056066956033, 0.1366799991747195, -0.05382936691061001, -0.34004614969546143, 0.11182215860621496, -0.13354337398301472, -0.1609250804917379, -0.14906808593395082, -0.07420532829551534, 0.026212357729673386, -0.30610180483622984, 0.11489232253198596, -0.03939882069614462, 0.11713182294029552, -0.1397457273253663, -0.2362558403221721, -2.900314601984891e-05, 0.10002829428254204, 0.1259003916564821, 0.11695945730263536, 0.21099140029400587, -0.1309623189154081, -0.14733269041488795, 0.4291599312289195, -0.10453375403726982, -0.14482011327689345, 0.138596918230707, -0.18626961166208442, -0.10646101017905907, 0.1559962988009581, 0.19229840030047027, 0.09451569085094062, -0.1501050982793624, 0.041905206550886344, -0.026451137941330673, 0.17469380982220173, 0.09391620018604127, 0.01984425808557055, 0.20409962721168995, 0.09607337588783015, -0.06827453931962901, 0.09622306449508125, -0.101830621923066, -0.09383312021805482, -0.25116046944802456, -0.044300129908052356, -0.11378693353723396, 0.09179977561262521, -0.11056469266530422, -0.09607930659231814, 0.34650170735760843, 0.16582053060728041, 0.22520910575985909, 0.035829564031552186, 0.27254853482273494, 0.08923248823054812, 0.13099721335721287, 0.1068179262717339, 0.2575806078188841, 0.22895391266793014, 0.12963769097643144, -0.21271692334081638, -0.08564238336614587, 0.06669989429752934] |
710.233 | On NIP and invariant measures | We study forking, Lascar strong types, Keisler measures and definable groups,
under an assumption of $NIP$ (not the independence property), continuing
aspects of math.LO/0607442. Among key results are: (i) if $p = tp(b/A)$ does
not fork over $A$ then the Lascar strong type of $b$ over $A$ coincides with
the compact strong type of $b$ over $A$ and any global nonforking extension of
$p$ is Borel definable over $bdd(A)$ (ii) analogous statements for Keisler
measures and definable groups, including the fact that $G^{000} = G^{00}$ for
$G$ definably amenable, (iii) definitions, characterizations and properties of
"generically stable" types and groups (iv) uniqueness of translation invariant
Keisler measures on groups with finitely satisfiable generics (vi) A proof of
the compact domination conjecture for definably compact commutative groups in
$o$-minimal expansions of real closed fields.
| math.LO | we study forking lascar strong types keisler measures and definable groups under an assumption of nip not the independence property continuing aspects of mathlo0607442 among key results are i if p tpba does not fork over a then the lascar strong type of b over a coincides with the compact strong type of b over a and any global nonforking extension of p is borel definable over bdda ii analogous statements for keisler measures and definable groups including the fact that g000 g00 for g definably amenable iii definitions characterizations and properties of generically stable types and groups iv uniqueness of translation invariant keisler measures on groups with finitely satisfiable generics vi a proof of the compact domination conjecture for definably compact commutative groups in ominimal expansions of real closed fields | [['we', 'study', 'forking', 'lascar', 'strong', 'types', 'keisler', 'measures', 'and', 'definable', 'groups', 'under', 'an', 'assumption', 'of', 'nip', 'not', 'the', 'independence', 'property', 'continuing', 'aspects', 'of', 'mathlo0607442', 'among', 'key', 'results', 'are', 'i', 'if', 'p', 'tpba', 'does', 'not', 'fork', 'over', 'a', 'then', 'the', 'lascar', 'strong', 'type', 'of', 'b', 'over', 'a', 'coincides', 'with', 'the', 'compact', 'strong', 'type', 'of', 'b', 'over', 'a', 'and', 'any', 'global', 'nonforking', 'extension', 'of', 'p', 'is', 'borel', 'definable', 'over', 'bdda', 'ii', 'analogous', 'statements', 'for', 'keisler', 'measures', 'and', 'definable', 'groups', 'including', 'the', 'fact', 'that', 'g000', 'g00', 'for', 'g', 'definably', 'amenable', 'iii', 'definitions', 'characterizations', 'and', 'properties', 'of', 'generically', 'stable', 'types', 'and', 'groups', 'iv', 'uniqueness', 'of', 'translation', 'invariant', 'keisler', 'measures', 'on', 'groups', 'with', 'finitely', 'satisfiable', 'generics', 'vi', 'a', 'proof', 'of', 'the', 'compact', 'domination', 'conjecture', 'for', 'definably', 'compact', 'commutative', 'groups', 'in', 'ominimal', 'expansions', 'of', 'real', 'closed', 'fields']] | [-0.18929082262911834, 0.0984431110365449, -0.1024812348314299, 0.10223533575572219, -0.12119342527876142, -0.14412316615926102, 0.04799213073283681, 0.37585102109005675, -0.28731657651951537, -0.16705541688861558, 0.07615366594018269, -0.22489205630517972, -0.07039028343933751, 0.22999013065418694, -0.14280282227809948, -0.05809805063108797, 0.008665304327678314, 0.11915129716726369, -0.07348160190122144, -0.29489551591814234, 0.41455490776570514, -0.14273756495094858, 0.25004944274405716, 0.059365371678268275, 0.06645812713850319, 0.023334970450378023, -0.055350685463054106, 0.10078651622916368, -0.18408875129381386, 0.08281975093996152, 0.284395613882225, 0.17672740501802764, 0.2757771470787702, -0.33535359762754524, -0.1326114151688671, 0.223772732897487, 0.05696125109534478, -0.06171162125974661, -0.03442422810030621, -0.3272124182258267, 0.16724387313479383, -0.16253277835494373, -0.13914481023493863, -0.10911750998639036, 0.1523195754016342, 0.06108762417534308, -0.2543342243952793, 0.0027219751646043733, 0.21312251187282527, 0.1694108541487367, -0.08244996527355397, -0.04196161170693813, -0.016993797438772162, 0.055199292713950854, -0.0022096837292338023, -0.003289526694061351, 0.08896966872634948, -0.05457162534003146, -0.14933664645377576, 0.35591184614168014, -0.11642332897463348, -0.13514892489854446, 0.23635643223678926, -0.1790479589108145, -0.2465883772892994, 0.12029339278888074, 0.018807689208188094, 0.14848683954551234, -0.02951557911001146, 0.24165636073803398, -0.16200681845657527, 0.1267149158011307, 0.11894570102231228, 0.0575138143649383, 0.11002186733821873, 0.04882956562687468, 0.09128060071452637, 0.0850380521351326, 0.10266791273306808, 0.017091123853788304, -0.38198290150467074, -0.1636639935702533, -0.05828333249883144, 0.10453850382714336, -0.11930533422435019, -0.2445306286917912, 0.36214703908990487, 0.04088904703530716, 0.0651899117656285, 0.15342500975020812, 0.20136120461756946, -0.001655142169965984, 0.06032609611702355, 0.10031952395729604, 0.08488844382372918, 0.26949085951127927, -0.08790226648852695, -0.11443461490853224, 0.05966460142008145, 0.15745120830433734] |
710.2331 | On the energy growth of some periodically driven quantum systems with
shrinking gaps in the spectrum | We consider quantum Hamiltonians of the form H(t)=H+V(t) where the spectrum
of H is semibounded and discrete, and the eigenvalues behave as E_n~n^\alpha,
with 0<\alpha<1. In particular, the gaps between successive eigenvalues decay
as n^{\alpha-1}. V(t) is supposed to be periodic, bounded, continuously
differentiable in the strong sense and such that the matrix entries with
respect to the spectral decomposition of H obey the estimate
|V(t)_{m,n}|<=\epsilon*|m-n|^{-p}max{m,n}^{-2\gamma} for m!=n where \epsilon>0,
p>=1 and \gamma=(1-\alpha)/2. We show that the energy diffusion exponent can be
arbitrarily small provided p is sufficiently large and \epsilon is small
enough. More precisely, for any initial condition \Psi\in Dom(H^{1/2}), the
diffusion of energy is bounded from above as <H>_\Psi(t)=O(t^\sigma) where
\sigma=\alpha/(2\ceil{p-1}\gamma-1/2). As an application we consider the
Hamiltonian H(t)=|p|^\alpha+\epsilon*v(\theta,t) on L^2(S^1,d\theta) which was
discussed earlier in the literature by Howland.
| math-ph math.MP | we consider quantum hamiltonians of the form hthvt where the spectrum of h is semibounded and discrete and the eigenvalues behave as e_nnalpha with 0alpha1 in particular the gaps between successive eigenvalues decay as nalpha1 vt is supposed to be periodic bounded continuously differentiable in the strong sense and such that the matrix entries with respect to the spectral decomposition of h obey the estimate vt_mnepsilonmnpmaxmn2gamma for mn where epsilon0 p1 and gamma1alpha2 we show that the energy diffusion exponent can be arbitrarily small provided p is sufficiently large and epsilon is small enough more precisely for any initial condition psiin domh12 the diffusion of energy is bounded from above as h_psitotsigma where sigmaalpha2ceilp1gamma12 as an application we consider the hamiltonian htpalphaepsilonvthetat on l2s1dtheta which was discussed earlier in the literature by howland | [['we', 'consider', 'quantum', 'hamiltonians', 'of', 'the', 'form', 'hthvt', 'where', 'the', 'spectrum', 'of', 'h', 'is', 'semibounded', 'and', 'discrete', 'and', 'the', 'eigenvalues', 'behave', 'as', 'e_nnalpha', 'with', '0alpha1', 'in', 'particular', 'the', 'gaps', 'between', 'successive', 'eigenvalues', 'decay', 'as', 'nalpha1', 'vt', 'is', 'supposed', 'to', 'be', 'periodic', 'bounded', 'continuously', 'differentiable', 'in', 'the', 'strong', 'sense', 'and', 'such', 'that', 'the', 'matrix', 'entries', 'with', 'respect', 'to', 'the', 'spectral', 'decomposition', 'of', 'h', 'obey', 'the', 'estimate', 'vt_mnepsilonmnpmaxmn2gamma', 'for', 'mn', 'where', 'epsilon0', 'p1', 'and', 'gamma1alpha2', 'we', 'show', 'that', 'the', 'energy', 'diffusion', 'exponent', 'can', 'be', 'arbitrarily', 'small', 'provided', 'p', 'is', 'sufficiently', 'large', 'and', 'epsilon', 'is', 'small', 'enough', 'more', 'precisely', 'for', 'any', 'initial', 'condition', 'psiin', 'domh12', 'the', 'diffusion', 'of', 'energy', 'is', 'bounded', 'from', 'above', 'as', 'h_psitotsigma', 'where', 'sigmaalpha2ceilp1gamma12', 'as', 'an', 'application', 'we', 'consider', 'the', 'hamiltonian', 'htpalphaepsilonvthetat', 'on', 'l2s1dtheta', 'which', 'was', 'discussed', 'earlier', 'in', 'the', 'literature', 'by', 'howland']] | [-0.11232726362575177, 0.18572158831645333, -0.030504303312139405, 0.05289711491223575, -0.03266528638332308, -0.15911812984174298, -0.016335732333602443, 0.3548233914339254, -0.29513426448008223, -0.2575061084508273, 0.12002616848011742, -0.28846551613946025, -0.13025210460135336, 0.167418003608022, -0.04135389460838445, 0.05845570950693781, 0.0371623950852682, 0.11175142941177793, -0.04156063828286865, -0.1941283942264084, 0.3406046817610566, -0.0014906534145871597, 0.16639954720308342, 0.06048618715947434, 0.04093375402848206, -0.01133591245349136, 0.053366225997677014, 0.01598535711696792, -0.15957126286194845, 0.06094465746671983, 0.2454582799973357, 0.05965440625497591, 0.2604884883133514, -0.3831214103246889, -0.1730934320949018, 0.163286323433802, 0.14741907780544058, 0.04473474361246542, -0.016704464675469002, -0.25723571382883575, 0.1497009078739211, -0.12507948112644016, -0.1467313085374753, -0.06157356194378207, 0.07362046924930427, 0.07311570889977438, -0.3397162431820987, 0.09130690016243007, 0.10112635154397256, 0.009077515931905157, -0.07231343555406877, -0.11977698083595192, -0.03013885196583766, 0.10815356969983587, 0.04995353189822767, 0.034314413476104456, 0.05830347507951721, -0.06224376771640363, -0.027025413783004267, 0.3682811781163177, -0.10599270332491986, -0.2232676329121234, 0.13539795440362556, -0.17503914769904147, -0.0940488954562874, 0.10608678635194778, 0.12317003115200467, 0.12765068257407797, -0.07959400943758327, 0.20020539664068154, -0.0454656116161195, 0.16411294589840597, 0.07884008360035237, 0.033241497578039285, 0.08921352927310151, 0.06671077792435104, 0.15579650282198865, 0.1181137703843565, -0.05632821673944202, -0.08914650630416168, -0.35260811790583596, -0.15349575290606626, -0.27112553980682164, 0.10684877024745688, -0.09055738468340414, -0.18432930393535044, 0.33119428996935546, 0.07672368419814794, 0.26126485354172707, 0.05692820393033476, 0.2049733482774407, 0.18898989287610615, 0.029804215338381547, 0.110722026175579, 0.1877314286595661, 0.1251081929527103, 0.06989482597583124, -0.1931583658705706, 0.05647644628169796, 0.06387837405664838] |
710.2332 | Application of the RMF mass model to the r-process and the influence of
mass uncertainties | A new mass table calculated by the relativistic mean field approach with the
state-dependent BCS method for the pairing correlation is applied for the first
time to study r-process nucleosynthesis. The solar r-process abundance is well
reproduced within a waiting-point approximation approach. Using an exponential
fitting procedure to find the required astrophysical conditions, the influence
of mass uncertainty is investigated. R-process calculations using the FRDM,
ETFSI-Q and HFB-13 mass tables have been used for that purpose. It is found
that the nuclear physical uncertainty can significantly influence the deduced
astrophysical conditions for the r-process site. In addition, the influence of
the shell closure and shape transition have been examined in detail in the
r-process simulations.
| astro-ph nucl-th | a new mass table calculated by the relativistic mean field approach with the statedependent bcs method for the pairing correlation is applied for the first time to study rprocess nucleosynthesis the solar rprocess abundance is well reproduced within a waitingpoint approximation approach using an exponential fitting procedure to find the required astrophysical conditions the influence of mass uncertainty is investigated rprocess calculations using the frdm etfsiq and hfb13 mass tables have been used for that purpose it is found that the nuclear physical uncertainty can significantly influence the deduced astrophysical conditions for the rprocess site in addition the influence of the shell closure and shape transition have been examined in detail in the rprocess simulations | [['a', 'new', 'mass', 'table', 'calculated', 'by', 'the', 'relativistic', 'mean', 'field', 'approach', 'with', 'the', 'statedependent', 'bcs', 'method', 'for', 'the', 'pairing', 'correlation', 'is', 'applied', 'for', 'the', 'first', 'time', 'to', 'study', 'rprocess', 'nucleosynthesis', 'the', 'solar', 'rprocess', 'abundance', 'is', 'well', 'reproduced', 'within', 'a', 'waitingpoint', 'approximation', 'approach', 'using', 'an', 'exponential', 'fitting', 'procedure', 'to', 'find', 'the', 'required', 'astrophysical', 'conditions', 'the', 'influence', 'of', 'mass', 'uncertainty', 'is', 'investigated', 'rprocess', 'calculations', 'using', 'the', 'frdm', 'etfsiq', 'and', 'hfb13', 'mass', 'tables', 'have', 'been', 'used', 'for', 'that', 'purpose', 'it', 'is', 'found', 'that', 'the', 'nuclear', 'physical', 'uncertainty', 'can', 'significantly', 'influence', 'the', 'deduced', 'astrophysical', 'conditions', 'for', 'the', 'rprocess', 'site', 'in', 'addition', 'the', 'influence', 'of', 'the', 'shell', 'closure', 'and', 'shape', 'transition', 'have', 'been', 'examined', 'in', 'detail', 'in', 'the', 'rprocess', 'simulations']] | [-0.029170360721120264, 0.11786133613124741, -0.09264148832752114, 0.18013907060340312, 0.0036744710739982206, -0.0675741655224588, 0.031133517989707468, 0.3839320729989394, -0.2051974318888599, -0.33589502415759903, 0.009716374432849409, -0.2366856694205013, -0.04132792778906569, 0.2134293031660362, 0.029155197512127657, 0.06082512324045421, 0.07487756480355706, 0.06203235408076934, -0.11660309378428599, -0.23237384549976714, 0.31464816112302046, 0.10695598329689386, 0.2376399418273199, 0.04979431475626008, 0.008183277566480426, -0.07241103773837727, -0.013812510642857679, 0.010752856249269922, -0.14572198915285517, 0.04714641748078629, 0.2082484131678939, 0.10888647294265374, 0.1893731885037459, -0.41185334374287486, -0.2549264197118284, 0.057358807284566285, 0.1524008098717746, 0.12363404062869175, -0.1384952424374302, -0.2544774755720148, 0.0608809508663495, -0.24031303471893864, -0.15463463285839005, -0.03660195887055809, 0.019952346386379702, 0.05020618975879542, -0.30350289937619745, 0.06464976864965814, 0.011890457111691018, 0.04505416205861406, -0.09948139246223511, -0.15367051788432673, -0.018900560914637703, 0.0990182754915389, 0.0786344703612437, -0.0066056266752590916, 0.17237083073210926, -0.045989258387909, -0.026688254421341966, 0.475111133031613, -0.06534393813329196, -0.11069476373691474, 0.07577698700031084, -0.1516961871081782, -0.1804303340531424, 0.14924619579687715, 0.13700194927591797, 0.09963571831204854, -0.20675889050703397, 0.06967893886004896, -0.02804855919912853, 0.16326819655930508, 0.03572078872744027, -0.01580503849164311, 0.20048089814578404, 0.19981582723228278, -0.026876792060293718, 0.041309271057227016, -0.1715438171223927, -0.11486069643787578, -0.2763002419564049, -0.08300948660589952, -0.14646519156403642, 0.02133799338531969, -0.0927853182829253, -0.12912563012451328, 0.3504908891988143, 0.16047944064639444, 0.1364965616247361, -0.02377385214646965, 0.28811042667242936, 0.12768244611478485, 0.06358198963303481, 0.07046799404479397, 0.31857035263746447, 0.2014629984608299, 0.07546879119956784, -0.3083978501865558, 0.1863066105056653, 0.08658575407122221] |
710.2333 | Time delay and magnification centroid due to gravitational lensing by
black holes and naked singularities | We model the massive dark object at the center of the Galaxy as a
Schwarzschild black hole as well as Janis-Newman-Winicour naked singularities,
characterized by the mass and scalar charge parameters, and study gravitational
lensing (particularly time delay, magnification centroid, and total
magnification) by them. We find that the lensing features are qualitatively
similar (though quantitatively different) for the Schwarzschild black holes,
weakly naked, and marginally strongly naked singularities. However, the lensing
characteristics of strongly naked singularities are qualitatively very
different from those due the Schwarzschild black holes. The images produced by
Schwarzschild black hole lenses and weakly naked and marginally strongly naked
singularity lenses always have positive time delays. On the other hand, the
strongly naked singularity lenses can give rise to images with positive, zero,
or negative time delays. In particular, for a large angular source position the
direct image (the outermost image on the same side as the source) due to
strongly naked singularity lensing always has negative time delay. We also
found that the scalar field decreases the time delay and increases the
magnitude of magnifications of images; this result could have important
implications for cosmology. As the Janis-Newman-Winicour metric also describes
the exterior gravitational field of a scalar star, naked singularities as well
as scalar star lenses, if these exist in nature, will serve as more efficient
cosmic telescopes than regular gravitational lenses.
| gr-qc astro-ph hep-th physics.class-ph | we model the massive dark object at the center of the galaxy as a schwarzschild black hole as well as janisnewmanwinicour naked singularities characterized by the mass and scalar charge parameters and study gravitational lensing particularly time delay magnification centroid and total magnification by them we find that the lensing features are qualitatively similar though quantitatively different for the schwarzschild black holes weakly naked and marginally strongly naked singularities however the lensing characteristics of strongly naked singularities are qualitatively very different from those due the schwarzschild black holes the images produced by schwarzschild black hole lenses and weakly naked and marginally strongly naked singularity lenses always have positive time delays on the other hand the strongly naked singularity lenses can give rise to images with positive zero or negative time delays in particular for a large angular source position the direct image the outermost image on the same side as the source due to strongly naked singularity lensing always has negative time delay we also found that the scalar field decreases the time delay and increases the magnitude of magnifications of images this result could have important implications for cosmology as the janisnewmanwinicour metric also describes the exterior gravitational field of a scalar star naked singularities as well as scalar star lenses if these exist in nature will serve as more efficient cosmic telescopes than regular gravitational lenses | [['we', 'model', 'the', 'massive', 'dark', 'object', 'at', 'the', 'center', 'of', 'the', 'galaxy', 'as', 'a', 'schwarzschild', 'black', 'hole', 'as', 'well', 'as', 'janisnewmanwinicour', 'naked', 'singularities', 'characterized', 'by', 'the', 'mass', 'and', 'scalar', 'charge', 'parameters', 'and', 'study', 'gravitational', 'lensing', 'particularly', 'time', 'delay', 'magnification', 'centroid', 'and', 'total', 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710.2334 | Off-center impurity in alkali halides: reorientation, electric
polarization and pairing to F center. III. Numerical calculations | We carried out numerical calculations by an extended-Hueckel program in order
to check the analytical results reported in the preceding Part I and Part II.
We typically consider alkali halide clusters composed of some tens of
constituent atoms to calculate electronic energies under static conditions or
versus the displacements of particular atoms. Among other things, the
off-center displacement of substitutional Li+ impurity in most alkali halides
is evidenced. The trigonometric profile of the rotational barriers is also
confirmed for KCl.
| physics.chem-ph physics.comp-ph | we carried out numerical calculations by an extendedhueckel program in order to check the analytical results reported in the preceding part i and part ii we typically consider alkali halide clusters composed of some tens of constituent atoms to calculate electronic energies under static conditions or versus the displacements of particular atoms among other things the offcenter displacement of substitutional li impurity in most alkali halides is evidenced the trigonometric profile of the rotational barriers is also confirmed for kcl | [['we', 'carried', 'out', 'numerical', 'calculations', 'by', 'an', 'extendedhueckel', 'program', 'in', 'order', 'to', 'check', 'the', 'analytical', 'results', 'reported', 'in', 'the', 'preceding', 'part', 'i', 'and', 'part', 'ii', 'we', 'typically', 'consider', 'alkali', 'halide', 'clusters', 'composed', 'of', 'some', 'tens', 'of', 'constituent', 'atoms', 'to', 'calculate', 'electronic', 'energies', 'under', 'static', 'conditions', 'or', 'versus', 'the', 'displacements', 'of', 'particular', 'atoms', 'among', 'other', 'things', 'the', 'offcenter', 'displacement', 'of', 'substitutional', 'li', 'impurity', 'in', 'most', 'alkali', 'halides', 'is', 'evidenced', 'the', 'trigonometric', 'profile', 'of', 'the', 'rotational', 'barriers', 'is', 'also', 'confirmed', 'for', 'kcl']] | [-0.10795150075956614, 0.12842602330083883, 0.02813672474762307, 0.025468783691831972, 0.024312466082363565, -0.13106746603793737, 0.08757073166957006, 0.43052581980635846, -0.21886481495745055, -0.28884419904951053, 0.001745745473352697, -0.3490426228676416, -0.0774781080375461, 0.13460172923234634, 0.03476280433161161, -0.007935772406797903, 0.04076045633093277, -0.004479007559675205, -0.08740055616915555, -0.24122329195666634, 0.2595378278247729, 0.07476459811382656, 0.2112505716489793, 0.06630626499072259, -0.009465904010436203, -0.038042461086960536, 0.011528823218202288, 0.01760835690671413, -0.1447863003969947, 0.09518852982378294, 0.2335010482546508, -0.0032178460136999057, 0.2224416668008117, -0.5146851143033444, -0.17150014090717217, 0.05358185301994598, 0.14565664008141885, 0.16803583547567266, -0.09340932903386935, -0.27131406646929207, 0.02219171520422767, -0.14350906275897996, -0.2034911984707453, -0.06579533479282562, 0.06031508658882938, 0.08989975719323641, -0.22961224342071557, 0.09292352655453054, 0.009506781573725653, 0.1206591545472097, -0.15077431175026665, -0.20938033485030638, -0.02852017823547785, 0.02794878196584273, 0.042748397214727216, -0.06006319923444262, 0.176976003849148, -0.0529478540278594, -0.058093112554471894, 0.4515026078288314, -0.06041613416422064, -0.10189113243706996, 0.19986676910149428, -0.15551572709191072, -0.1330382165003898, 0.13576446729122743, 0.07312220970428066, 0.13802032683931048, -0.15089357751598464, 0.02860871960535716, -0.006670457505491338, 0.16552613998610008, 0.10910478446491156, 0.042127865861771224, 0.19140048160017292, 0.12666740483910882, 0.006168297892790052, 0.1308967022474301, -0.1265659566933313, -0.0929751602249055, -0.24048284243179274, -0.1983278382840696, -0.19337783310609527, 0.005088469656066427, -0.055910715718180404, -0.15446207648190327, 0.35429550839375845, 0.09504437301001406, 0.13598210244333442, -0.081441988696969, 0.21156618131112448, 0.06084867478112537, 0.061439963717815245, 0.024685105096690262, 0.2682280276590351, 0.15647499511148072, 0.08588222937092563, -0.2831567919259019, 0.08409513454719246, 0.04330916996438151] |
710.2335 | A template bank for gravitational waveforms from coalescing binary black
holes: non-spinning binaries | Gravitational waveforms from the inspiral and ring-down stages of the binary
black hole coalescences can be modelled accurately by
approximation/perturbation techniques in general relativity. Recent progress in
numerical relativity has enabled us to model also the non-perturbative merger
phase of the binary black-hole coalescence problem. This enables us to
\emph{coherently} search for all three stages of the coalescence of
non-spinning binary black holes using a single template bank. Taking our
motivation from these results, we propose a family of template waveforms which
can model the inspiral, merger, and ring-down stages of the coalescence of
non-spinning binary black holes that follow quasi-circular inspiral. This
two-dimensional template family is explicitly parametrized by the physical
parameters of the binary. We show that the template family is not only
\emph{effectual} in detecting the signals from black hole coalescences, but
also \emph{faithful} in estimating the parameters of the binary. We compare the
sensitivity of a search (in the context of different ground-based
interferometers) using all three stages of the black hole coalescence with
other template-based searches which look for individual stages separately. We
find that the proposed search is significantly more sensitive than other
template-based searches for a substantial mass-range, potentially bringing
about remarkable improvement in the event-rate of ground-based interferometers.
As part of this work, we also prescribe a general procedure to construct
interpolated template banks using non-spinning black hole waveforms produced by
numerical relativity.
| gr-qc astro-ph | gravitational waveforms from the inspiral and ringdown stages of the binary black hole coalescences can be modelled accurately by approximationperturbation techniques in general relativity recent progress in numerical relativity has enabled us to model also the nonperturbative merger phase of the binary blackhole coalescence problem this enables us to emphcoherently search for all three stages of the coalescence of nonspinning binary black holes using a single template bank taking our motivation from these results we propose a family of template waveforms which can model the inspiral merger and ringdown stages of the coalescence of nonspinning binary black holes that follow quasicircular inspiral this twodimensional template family is explicitly parametrized by the physical parameters of the binary we show that the template family is not only empheffectual in detecting the signals from black hole coalescences but also emphfaithful in estimating the parameters of the binary we compare the sensitivity of a search in the context of different groundbased interferometers using all three stages of the black hole coalescence with other templatebased searches which look for individual stages separately we find that the proposed search is significantly more sensitive than other templatebased searches for a substantial massrange potentially bringing about remarkable improvement in the eventrate of groundbased interferometers as part of this work we also prescribe a general procedure to construct interpolated template banks using nonspinning black hole waveforms produced by numerical relativity | [['gravitational', 'waveforms', 'from', 'the', 'inspiral', 'and', 'ringdown', 'stages', 'of', 'the', 'binary', 'black', 'hole', 'coalescences', 'can', 'be', 'modelled', 'accurately', 'by', 'approximationperturbation', 'techniques', 'in', 'general', 'relativity', 'recent', 'progress', 'in', 'numerical', 'relativity', 'has', 'enabled', 'us', 'to', 'model', 'also', 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710.2336 | Constraints on mSUGRA through entropy and abundance criteria | We derive an expression for the entropy of a present dark matter halo
described by a Navarro-Frenk-White modified model with a central core. The
comparison of this entropy with the one of the halo at the freeze-out era
allows us to obtain an expression for the relic abundance of neutralinos, which
in turn is used to constrain the parameter space in mSUGRA models, when used
with the WMAP observations. Moreover, by joning these results with the ones
obtained from the usual abundance criteria, we are able to clearly discriminate
validity regions among tan beta values of the mSUGRA model, by demanding both
criteria to be consistent with the 2 sigma bounds of the WMAP observations for
the relic density: 0.112 < Omega h^2 < 0.122. We found that for sign mu
positive, small values of tan beta are not favored; only for tan beta ~ 50 are
both criteria significantly consistent. The use of both criteria also allows us
to put a lower bound on the neutralino mass of > 151 GeV.
| astro-ph | we derive an expression for the entropy of a present dark matter halo described by a navarrofrenkwhite modified model with a central core the comparison of this entropy with the one of the halo at the freezeout era allows us to obtain an expression for the relic abundance of neutralinos which in turn is used to constrain the parameter space in msugra models when used with the wmap observations moreover by joning these results with the ones obtained from the usual abundance criteria we are able to clearly discriminate validity regions among tan beta values of the msugra model by demanding both criteria to be consistent with the 2 sigma bounds of the wmap observations for the relic density 0112 omega h2 0122 we found that for sign mu positive small values of tan beta are not favored only for tan beta 50 are both criteria significantly consistent the use of both criteria also allows us to put a lower bound on the neutralino mass of 151 gev | [['we', 'derive', 'an', 'expression', 'for', 'the', 'entropy', 'of', 'a', 'present', 'dark', 'matter', 'halo', 'described', 'by', 'a', 'navarrofrenkwhite', 'modified', 'model', 'with', 'a', 'central', 'core', 'the', 'comparison', 'of', 'this', 'entropy', 'with', 'the', 'one', 'of', 'the', 'halo', 'at', 'the', 'freezeout', 'era', 'allows', 'us', 'to', 'obtain', 'an', 'expression', 'for', 'the', 'relic', 'abundance', 'of', 'neutralinos', 'which', 'in', 'turn', 'is', 'used', 'to', 'constrain', 'the', 'parameter', 'space', 'in', 'msugra', 'models', 'when', 'used', 'with', 'the', 'wmap', 'observations', 'moreover', 'by', 'joning', 'these', 'results', 'with', 'the', 'ones', 'obtained', 'from', 'the', 'usual', 'abundance', 'criteria', 'we', 'are', 'able', 'to', 'clearly', 'discriminate', 'validity', 'regions', 'among', 'tan', 'beta', 'values', 'of', 'the', 'msugra', 'model', 'by', 'demanding', 'both', 'criteria', 'to', 'be', 'consistent', 'with', 'the', '2', 'sigma', 'bounds', 'of', 'the', 'wmap', 'observations', 'for', 'the', 'relic', 'density', '0112', 'omega', 'h2', '0122', 'we', 'found', 'that', 'for', 'sign', 'mu', 'positive', 'small', 'values', 'of', 'tan', 'beta', 'are', 'not', 'favored', 'only', 'for', 'tan', 'beta', '50', 'are', 'both', 'criteria', 'significantly', 'consistent', 'the', 'use', 'of', 'both', 'criteria', 'also', 'allows', 'us', 'to', 'put', 'a', 'lower', 'bound', 'on', 'the', 'neutralino', 'mass', 'of', '151', 'gev']] | [-0.04831723078128932, 0.13505863557269235, -0.07697204616015588, 0.13089084831027392, -0.07366539219054143, -0.15232954452561584, 0.07335624790438144, 0.30905786121520634, -0.16146859317365475, -0.36290225088819417, 0.06283867732945182, -0.257296290208375, -0.0031662248298079667, 0.21478280412384537, 0.008239452994824526, 0.04282522792624683, 0.013949655001274795, 0.012131229871159006, -0.05889486146583305, -0.24056297500511845, 0.2988422255026188, 0.0774044760190575, 0.20465719676994815, 0.03407144924614601, 0.013078705666999438, -0.07415365291763554, -0.05248937325574413, -0.012611635751683477, -0.2331642131755511, 0.10870186028539197, 0.21092588243780613, 0.12289902841683455, 0.14495484447134602, -0.33886602435687635, -0.19230456722755276, 0.15957709638301484, 0.1268084798284254, 0.03671650295713944, -0.03291702882629334, -0.29785472836657734, 0.08918248858385787, -0.20684146798009465, -0.1454101188364857, -0.045409286863164984, -0.010911815632469284, -0.03870523966915772, -0.3345151377903175, 0.14270600416397114, -0.027446027552363222, -0.057585396407963986, -0.0834831851374213, -0.1711458909411742, -0.05889503786641502, 0.03236460916277629, 0.08023720774604398, -0.005019991899126706, 0.1434299824815132, -0.1568178134757055, -0.04477113549190456, 0.3777918438510802, -0.11909298938671183, -0.1651890885118328, 0.1797834759394075, -0.16698543457481677, -0.17322618624161995, 0.11874428039561667, 0.08894088961083643, 0.089726967140363, -0.12935104974990635, 0.11625929878092083, -0.0300098251025778, 0.20787543548594514, 0.08181863206488911, -0.01987890526373497, 0.24444068484231382, 0.09862355963036998, 0.09500552203037782, 0.08872165762426186, -0.15500414171702268, -0.0594163450111306, -0.33543232084435975, -0.11404500563641519, -0.10208992880398218, -0.012915507407805291, -0.14951557768397256, -0.10002414948825618, 0.35297452682116165, 0.1528392879314676, 0.2782112471313177, 0.08727576737612776, 0.27261580255239487, 0.10998042952826993, 0.07035576579121602, 0.04853821452985891, 0.3068592670209104, 0.16418021799533622, 0.07388930174683829, -0.19269334074684202, 0.054150940828069954, 0.027258939752466755] |
710.2337 | Instanton representation of Plebanski gravity. Euclidean signature
minisuperspace solution | Using the action for the instanton representation of Plebanski gravity
(IRPG), we construct minisuperspace solutions restricted to diagonal variables.
We have treated the Euclidean signature case with zero cosmological constant,
depicting a gravitational analogy to free particle motion. This paper provides
a testing ground for the IRPG for a simple case, which will be extended to the
full theory in future work.
| gr-qc | using the action for the instanton representation of plebanski gravity irpg we construct minisuperspace solutions restricted to diagonal variables we have treated the euclidean signature case with zero cosmological constant depicting a gravitational analogy to free particle motion this paper provides a testing ground for the irpg for a simple case which will be extended to the full theory in future work | [['using', 'the', 'action', 'for', 'the', 'instanton', 'representation', 'of', 'plebanski', 'gravity', 'irpg', 'we', 'construct', 'minisuperspace', 'solutions', 'restricted', 'to', 'diagonal', 'variables', 'we', 'have', 'treated', 'the', 'euclidean', 'signature', 'case', 'with', 'zero', 'cosmological', 'constant', 'depicting', 'a', 'gravitational', 'analogy', 'to', 'free', 'particle', 'motion', 'this', 'paper', 'provides', 'a', 'testing', 'ground', 'for', 'the', 'irpg', 'for', 'a', 'simple', 'case', 'which', 'will', 'be', 'extended', 'to', 'the', 'full', 'theory', 'in', 'future', 'work']] | [-0.12911946238619426, 0.10381380198222975, -0.11890540143565065, 0.10731190129656405, -0.14148687701972743, -0.1479028893048845, -0.015141334001635831, 0.3011693138809454, -0.22419653303410497, -0.2361706984604919, 0.06747142134437097, -0.23553457014044868, -0.16158001109837525, 0.1258563180247532, -0.05890676818577753, 0.023534216677709933, 0.04648401667814581, 0.0882308714827823, -0.10357377821985152, -0.24704245694221988, 0.3265095989655463, 0.052832779767472415, 0.20126830403422635, -0.029468214447279612, 0.13192772854780477, 0.04230832959705543, -0.010216137244095725, 0.07280984040229552, -0.17117268903764912, 0.09425423267267403, 0.24789667297379986, 0.08822709409099433, 0.20106269716615638, -0.40743388322692725, -0.25311840037184374, 0.14291781213344826, 0.14196359875401662, 0.19187479571912497, -0.03240699531330216, -0.30356294980963633, 0.04865387961880544, -0.21535137500013074, -0.19511171361251223, -0.08495386592262695, 0.014437833609389923, -0.08873568623957614, -0.24842791583749554, 0.06178018066941971, 0.005814701386336838, 0.010355811806455735, -0.11343748458931523, -0.05509621510282159, 0.06099247755182366, 0.12748083292746976, 0.06409341186254976, 0.0907097460717083, 0.07683813734911382, -0.11086303914611738, -0.11403690759588274, 0.4365237021007605, -0.12480943143037299, -0.3097622147310645, 0.1462696176698251, -0.12295802379207264, -0.1545644054084175, 0.051696225835551175, 0.12803370997519983, 0.14219909840293468, -0.14552674691883788, 0.1774930288384278, -0.0407388282999877, 0.09661016300238008, 0.08964824850761122, 0.0029280690416213003, 0.2452188917602818, 0.10031264520160132, 0.04570706683256093, 0.14319886951970176, -0.046680194768874396, -0.1480030742729263, -0.3697883759535128, -0.16756719867360867, -0.14215195689710877, 0.10426232292346897, -0.07418708226102735, -0.2038672395471123, 0.37224497066269957, 0.13471385207207454, 0.11551845330564726, 0.09764052950777113, 0.24261966844149416, 0.11578911972690313, 0.03282909711537462, 0.03273370858064042, 0.2426570405763003, 0.1248211229009734, 0.07456769217031016, -0.19399089465338376, -0.07774732287056864, 0.14633182897382685] |
710.2338 | Constraining Cosmic Evolution of Type Ia Supernovae | We present the first large-scale effort of creating composite spectra of
high-redshift type Ia supernovae (SNe Ia) and comparing them to low-redshift
counterparts. Through the ESSENCE project, we have obtained 107 spectra of 88
high-redshift SNe Ia with excellent light-curve information. In addition, we
have obtained 397 spectra of low-redshift SNe through a multiple-decade effort
at Lick and Keck Observatories, and we have used 45 UV spectra obtained by
HST/IUE. The low-redshift spectra act as a control sample when comparing to the
ESSENCE spectra. In all instances, the ESSENCE and Lick composite spectra
appear very similar. The addition of galaxy light to the Lick composite spectra
allows a nearly perfect match of the overall spectral-energy distribution with
the ESSENCE composite spectra, indicating that the high-redshift SNe are more
contaminated with host-galaxy light than their low-redshift counterparts. This
is caused by observing objects at all redshifts with the same slit width, which
corresponds to different projected distances. After correcting for the
galaxy-light contamination, subtle differences in the spectra remain. We have
estimated the systematic errors when using current spectral templates for
K-corrections to be ~0.02 mag. The variance in the composite spectra give an
estimate of the intrinsic variance in low-redshift maximum-light SN spectra of
~3% in the optical and growing toward the UV. The difference between the
maximum light low and high-redshift spectra constrain SN evolution between our
samples to be < 10% in the rest-frame optical.
| astro-ph | we present the first largescale effort of creating composite spectra of highredshift type ia supernovae sne ia and comparing them to lowredshift counterparts through the essence project we have obtained 107 spectra of 88 highredshift sne ia with excellent lightcurve information in addition we have obtained 397 spectra of lowredshift sne through a multipledecade effort at lick and keck observatories and we have used 45 uv spectra obtained by hstiue the lowredshift spectra act as a control sample when comparing to the essence spectra in all instances the essence and lick composite spectra appear very similar the addition of galaxy light to the lick composite spectra allows a nearly perfect match of the overall spectralenergy distribution with the essence composite spectra indicating that the highredshift sne are more contaminated with hostgalaxy light than their lowredshift counterparts this is caused by observing objects at all redshifts with the same slit width which corresponds to different projected distances after correcting for the galaxylight contamination subtle differences in the spectra remain we have estimated the systematic errors when using current spectral templates for kcorrections to be 002 mag the variance in the composite spectra give an estimate of the intrinsic variance in lowredshift maximumlight sn spectra of 3 in the optical and growing toward the uv the difference between the maximum light low and highredshift spectra constrain sn evolution between our samples to be 10 in the restframe optical | [['we', 'present', 'the', 'first', 'largescale', 'effort', 'of', 'creating', 'composite', 'spectra', 'of', 'highredshift', 'type', 'ia', 'supernovae', 'sne', 'ia', 'and', 'comparing', 'them', 'to', 'lowredshift', 'counterparts', 'through', 'the', 'essence', 'project', 'we', 'have', 'obtained', '107', 'spectra', 'of', '88', 'highredshift', 'sne', 'ia', 'with', 'excellent', 'lightcurve', 'information', 'in', 'addition', 'we', 'have', 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710.2339 | Recombination of H3+ Ions in the Afterglow of a He-Ar-H2 Plasma | Recombination of H3+ with electrons was studied in a low temperature plasma
in helium. The plasma recombination rate is driven by two body, H3+ + e, and
three-body, H3+ + e + He, processes with the rate coefficients 7.5x10^{-8}cm3/s
and 2.8x10^{-25}cm6/s correspondingly at 260K. The two-body rate coefficient is
in excellent agreement with results from storage ring experiments and
theoretical calculations. We suggest that the three-body recombination involves
formation of highly excited Rydberg neutral H3 followed by an l- or m- changing
collision with He. Plasma electron spectroscopy indicates the presence of H3.
| physics.atom-ph physics.plasm-ph | recombination of h3 with electrons was studied in a low temperature plasma in helium the plasma recombination rate is driven by two body h3 e and threebody h3 e he processes with the rate coefficients 75x108cm3s and 28x1025cm6s correspondingly at 260k the twobody rate coefficient is in excellent agreement with results from storage ring experiments and theoretical calculations we suggest that the threebody recombination involves formation of highly excited rydberg neutral h3 followed by an l or m changing collision with he plasma electron spectroscopy indicates the presence of h3 | [['recombination', 'of', 'h3', 'with', 'electrons', 'was', 'studied', 'in', 'a', 'low', 'temperature', 'plasma', 'in', 'helium', 'the', 'plasma', 'recombination', 'rate', 'is', 'driven', 'by', 'two', 'body', 'h3', 'e', 'and', 'threebody', 'h3', 'e', 'he', 'processes', 'with', 'the', 'rate', 'coefficients', '75x108cm3s', 'and', '28x1025cm6s', 'correspondingly', 'at', '260k', 'the', 'twobody', 'rate', 'coefficient', 'is', 'in', 'excellent', 'agreement', 'with', 'results', 'from', 'storage', 'ring', 'experiments', 'and', 'theoretical', 'calculations', 'we', 'suggest', 'that', 'the', 'threebody', 'recombination', 'involves', 'formation', 'of', 'highly', 'excited', 'rydberg', 'neutral', 'h3', 'followed', 'by', 'an', 'l', 'or', 'm', 'changing', 'collision', 'with', 'he', 'plasma', 'electron', 'spectroscopy', 'indicates', 'the', 'presence', 'of', 'h3']] | [-0.1090530621189497, 0.21229509853864412, 0.03383279062109068, 0.0001893314845140346, 0.10734074447166429, -0.14984937259842726, 0.020451132324524224, 0.39145753500898456, -0.19587114183443852, -0.26615402972410346, -0.025148552835823713, -0.32775287571447814, 0.030024850166889584, 0.16434292227760042, 0.06927748586432161, 0.015090257908344607, 0.08503918864616108, -0.015292905704964969, 0.016129354917211458, -0.18954347126683305, 0.26691236926920037, 0.17570872385245326, 0.1906029464867474, 0.1334224590947005, 0.04108685527568345, -0.03041101050224494, -0.07309742576167495, -0.04509612915783443, -0.19088568190429875, 0.09999880151140546, 0.21074407946699383, 0.02686340431947346, 0.18592263011007823, -0.4465914205648005, -0.1966037978920874, 0.03981059834107079, 0.17091868997985413, 0.12418219648216935, -0.10561063782899344, -0.2257138005224988, -0.05287797193490074, -0.17368117614056577, -0.13579965294973756, -0.005556525818643753, 0.11342106145192785, 0.04097531992010772, -0.3085376495834101, 0.17284688000588425, 0.0011284684667109766, 0.04929026875131306, -0.09284978966884823, -0.10909958456283096, -0.06094490774822506, -0.0006329438156998632, 0.04529878800861876, 0.06306512087096715, 0.21832574388033457, -0.10403655159329488, -0.06213758545345627, 0.3881569029975005, -0.18150130665162578, -0.08503894660283219, 0.2466672163837674, -0.2511201426915994, -0.09582785064545037, 0.27383784912738274, 0.08956121167549017, 0.09404199605077421, -0.10382472469196231, 0.11248197415889907, -0.01888586441782536, 0.1575481828556142, 0.1311079442728607, -0.006809541257842449, 0.2155942064339549, 0.13348726677808867, -0.02743775187958487, 0.0669663718091959, -0.11603762521620163, -0.04073775995692069, -0.24572337880222636, -0.1255335619524968, -0.13540458399802446, 0.06516718007465401, -0.015306910356560944, -0.06085717093744527, 0.27988145778230816, -0.00599566150710664, 0.2577697024654216, -0.09280212759040296, 0.2573324366345663, 0.13430905313659672, -0.00039271426662294704, 0.09722941151862456, 0.2364740638718517, 0.1931840688762763, 0.06481032104189084, -0.36473285969193303, 0.06575254092141139, 0.07060692023845729] |
710.234 | On ground fields of arithmetic hyperbolic reflection groups. III | This paper continues arXiv.org:math.AG/0609256, arXiv:0708.3991 and
arXiv:0710.0162 .
Using authors's methods of 1980, 1981, some explicit finite sets of number
fields containing all ground fields of arithmetic hyperbolic reflection groups
in dimension at least 3 are defined, and explicit bounds of their degrees (over
Q) are obtained.
Thus, now, explicit bound of degree of ground fields of arithmetic hyperbolic
reflection groups is known in all dimensions. Thus, now, we can, in principle,
obtain effective finite classification of arithmetic hyperbolic reflection
groups in all dimensions together.
| math.AG math.GT | this paper continues arxivorgmathag0609256 arxiv07083991 and arxiv07100162 using authorss methods of 1980 1981 some explicit finite sets of number fields containing all ground fields of arithmetic hyperbolic reflection groups in dimension at least 3 are defined and explicit bounds of their degrees over q are obtained thus now explicit bound of degree of ground fields of arithmetic hyperbolic reflection groups is known in all dimensions thus now we can in principle obtain effective finite classification of arithmetic hyperbolic reflection groups in all dimensions together | [['this', 'paper', 'continues', 'arxivorgmathag0609256', 'arxiv07083991', 'and', 'arxiv07100162', 'using', 'authorss', 'methods', 'of', '1980', '1981', 'some', 'explicit', 'finite', 'sets', 'of', 'number', 'fields', 'containing', 'all', 'ground', 'fields', 'of', 'arithmetic', 'hyperbolic', 'reflection', 'groups', 'in', 'dimension', 'at', 'least', '3', 'are', 'defined', 'and', 'explicit', 'bounds', 'of', 'their', 'degrees', 'over', 'q', 'are', 'obtained', 'thus', 'now', 'explicit', 'bound', 'of', 'degree', 'of', 'ground', 'fields', 'of', 'arithmetic', 'hyperbolic', 'reflection', 'groups', 'is', 'known', 'in', 'all', 'dimensions', 'thus', 'now', 'we', 'can', 'in', 'principle', 'obtain', 'effective', 'finite', 'classification', 'of', 'arithmetic', 'hyperbolic', 'reflection', 'groups', 'in', 'all', 'dimensions', 'together']] | [-0.19176837448712167, 0.17325370771265247, -0.060657049887018595, 0.07368406657947273, -0.06976351137670529, -0.11482539336855818, 0.04484210919912496, 0.35306794199774544, -0.22162663452781556, -0.3136295794293557, 0.13575755741742507, -0.24546342447013936, -0.1096361603917236, 0.2493746064762335, -0.09955422087322648, 0.030923449512423446, -0.03252129708189608, 0.09997903022392676, -0.07097549234494203, -0.3564766175227194, 0.33392022032199836, -0.07083161238853525, 0.19689754126366318, 0.04404545472026235, 0.11558718219535744, 0.015566883409940979, -0.056189855271041755, 0.03473184524649164, -0.11369123161634112, 0.16593814403295698, 0.31869040482688876, 0.06429002449064083, 0.19526012668034015, -0.3680629626302639, -0.194020849913813, 0.12654220278902978, 0.16697753388675998, 0.10906322316334742, -0.002798891487167921, -0.2273130076142346, 0.07309378521153476, -0.1469866914361241, -0.21277597764075348, -0.08048822302740385, 0.040384839731836465, 0.029354059256658686, -0.21110789943486452, 0.058722054936125215, 0.08379380554159559, 0.1930406625359887, -0.05105753916474741, -0.15774287337937007, -0.018505138027050148, 0.15649022190780493, 0.019578502368658962, -0.035239487358300785, 0.01321715843954646, -0.08907972440327995, -0.146801396454798, 0.3430169120419589, 0.0010551725764100144, -0.16879866029158597, 0.20378225801012864, -0.1763456266986706, -0.14773648038574652, 0.18259993093315421, 0.17923690522907348, 0.11475746921922375, -0.07149512302584765, 0.20700374674818636, -0.10440246240099574, 0.12590195155679818, 0.1888278626904982, 0.036827581003308296, 0.09512424869917152, 0.030131073714029497, 0.07227332427779712, 0.11013329721328508, 0.014111034015602455, -0.025530719891099667, -0.3335106703112038, -0.16688314870513818, -0.1473104019930427, 0.09209900793460447, -0.11167782978346379, -0.1660391716300737, 0.3375120625445029, 0.05066125823480145, 0.10199634820540868, 0.11635462561531401, 0.2603711252350633, 0.07761453454334448, 0.044898150054306335, 0.11364920252491152, 0.13767497345596472, 0.20209395852530512, -0.05413425545827145, -0.09376571409790437, -0.037936741611125264, 0.14870000741921546] |
710.2341 | Extended Higgs Models and a Transition to Exact Susy | String landscape ideas and the observation of a positive vacuum energy in the
current universe suggest that there could be a future transition to an exactly
supersymmetric world. Atomic and molecular binding in this susy background
probably require that electroweak symmetry breaking survives the transition.
Among several susy higgs models that have been discussed, one stands out in
this regard. Thus, the higgs structure that is revealed at the LHC could have
strong consequences for the type of bulk matter that may arise in a future susy
universe.
| hep-ph | string landscape ideas and the observation of a positive vacuum energy in the current universe suggest that there could be a future transition to an exactly supersymmetric world atomic and molecular binding in this susy background probably require that electroweak symmetry breaking survives the transition among several susy higgs models that have been discussed one stands out in this regard thus the higgs structure that is revealed at the lhc could have strong consequences for the type of bulk matter that may arise in a future susy universe | [['string', 'landscape', 'ideas', 'and', 'the', 'observation', 'of', 'a', 'positive', 'vacuum', 'energy', 'in', 'the', 'current', 'universe', 'suggest', 'that', 'there', 'could', 'be', 'a', 'future', 'transition', 'to', 'an', 'exactly', 'supersymmetric', 'world', 'atomic', 'and', 'molecular', 'binding', 'in', 'this', 'susy', 'background', 'probably', 'require', 'that', 'electroweak', 'symmetry', 'breaking', 'survives', 'the', 'transition', 'among', 'several', 'susy', 'higgs', 'models', 'that', 'have', 'been', 'discussed', 'one', 'stands', 'out', 'in', 'this', 'regard', 'thus', 'the', 'higgs', 'structure', 'that', 'is', 'revealed', 'at', 'the', 'lhc', 'could', 'have', 'strong', 'consequences', 'for', 'the', 'type', 'of', 'bulk', 'matter', 'that', 'may', 'arise', 'in', 'a', 'future', 'susy', 'universe']] | [-0.11944094351069494, 0.22067631591281414, -0.0914975942895663, 0.15592715543012178, -0.08363815365274521, -0.1553833430939862, -0.010159245628694242, 0.3554785613986579, -0.2163095265118913, -0.26592984760645777, 0.07004375462367368, -0.2518369099019434, -0.09381991363294549, 0.12977945182303136, 0.02279164124576544, 0.013694736270487985, 0.0297708753999111, 0.016594062554015018, -0.046325402183521706, -0.24533474737968805, 0.2952878538463582, 0.05565796557030725, 0.21460551995022054, 0.11104736124186522, 0.039068981423042715, -0.0890526795331177, 0.03704603678753218, -0.009467706126584248, -0.11028233697958388, 0.08942952707399275, 0.2558895233952502, 0.11674024849013552, 0.2036328672838863, -0.41868782020173967, -0.2546985997098752, 0.1838999900130809, 0.17707344609185716, 0.17784902780443768, -0.11851573566144163, -0.2891632499152117, 0.08965433675819606, -0.16773587630119768, -0.12973879244898193, -0.07352323691223071, -0.010971324433657255, -0.126446905429475, -0.2270069585310094, 0.08437858621949669, -0.02030622334198349, 0.009293741800568321, -0.02902111504226923, -0.11990970112542114, -0.08158195689743893, 0.021754760448609224, 0.15104695643160745, 0.03039244456952226, 0.1794081177914367, -0.20213112327672372, -0.18321355628061362, 0.42160090570211073, -0.04584044668643566, -0.10626140726328065, 0.17788547013664024, -0.1770727786722339, -0.24479252290488643, 0.1424298117979726, 0.10048174262258479, 0.026664338656701148, -0.12345143667996374, 0.1924753187062875, -0.021140955179527573, 0.1621892781695351, 0.07364477250005373, 0.07061892870115116, 0.35866539244836365, 0.18100801137783987, 0.06387838479713537, 0.054812435461578636, -0.02791607639731162, -0.11748861798498017, -0.41076750480781565, -0.14789822119068544, -0.12961181097621607, 0.08336734701350162, -0.05385742116347749, -0.11693743870339611, 0.35155959730565717, 0.1535680915972493, 0.22662084372925825, -0.03804980150677941, 0.20076360200817528, 0.04870439227670431, 0.09978764004137536, -0.0011797741171903908, 0.34963705774068576, 0.05458253951192918, 0.15119462469804354, -0.22626616433791985, 0.012539004274665123, 0.03776925124111585] |
710.2342 | Theory of input spike auto- and cross-correlations and their effect on
the response of spiking neurons | Spike correlations between neurons are ubiquitous in the cortex, but their
role is at present not understood. Here we describe the firing response of a
leaky integrate-and-fire neuron (LIF) when it receives a temporarily correlated
input generated by presynaptic correlated neuronal populations. Input
correlations are characterized in terms of the firing rates, Fano factors,
correlation coefficients and correlation timescale of the neurons driving the
target neuron. We show that the sum of the presynaptic spike trains cannot be
well described by a Poisson process. Solutions of the output firing rate are
found in the limit of short and long correlation time scales.
| q-bio.NC physics.bio-ph | spike correlations between neurons are ubiquitous in the cortex but their role is at present not understood here we describe the firing response of a leaky integrateandfire neuron lif when it receives a temporarily correlated input generated by presynaptic correlated neuronal populations input correlations are characterized in terms of the firing rates fano factors correlation coefficients and correlation timescale of the neurons driving the target neuron we show that the sum of the presynaptic spike trains cannot be well described by a poisson process solutions of the output firing rate are found in the limit of short and long correlation time scales | [['spike', 'correlations', 'between', 'neurons', 'are', 'ubiquitous', 'in', 'the', 'cortex', 'but', 'their', 'role', 'is', 'at', 'present', 'not', 'understood', 'here', 'we', 'describe', 'the', 'firing', 'response', 'of', 'a', 'leaky', 'integrateandfire', 'neuron', 'lif', 'when', 'it', 'receives', 'a', 'temporarily', 'correlated', 'input', 'generated', 'by', 'presynaptic', 'correlated', 'neuronal', 'populations', 'input', 'correlations', 'are', 'characterized', 'in', 'terms', 'of', 'the', 'firing', 'rates', 'fano', 'factors', 'correlation', 'coefficients', 'and', 'correlation', 'timescale', 'of', 'the', 'neurons', 'driving', 'the', 'target', 'neuron', 'we', 'show', 'that', 'the', 'sum', 'of', 'the', 'presynaptic', 'spike', 'trains', 'can', 'not', 'be', 'well', 'described', 'by', 'a', 'poisson', 'process', 'solutions', 'of', 'the', 'output', 'firing', 'rate', 'are', 'found', 'in', 'the', 'limit', 'of', 'short', 'and', 'long', 'correlation', 'time', 'scales']] | [-0.13324799715740226, 0.19212630345911078, 0.0068638278035790595, 0.12647468130309736, 0.017928071342661833, -0.17971751065834343, 0.019859008472955342, 0.4535276183442583, -0.28935762360981365, -0.23259030505833986, 0.02706190770677318, -0.2786826780970091, -0.2905577583672497, 0.1523972755355661, -0.06157910271357853, 0.010397707600399706, 0.05269421322849914, 0.08872703324497036, 0.04698758841112473, -0.25202082239489243, 0.22800678727262227, 0.05033918524396072, 0.2783042512047421, -0.03238134687874936, 0.1474757026248042, -0.053450751755820605, -0.026857823712154498, -0.05004126768450714, -0.036672011101790775, 0.05407009668901418, 0.28440763291369364, 0.0970576185195083, 0.28537812147705444, -0.5258145881093388, -0.2449897984494862, 0.10216122136894361, 0.16521793215318573, 0.10263304567886787, 0.024898038236695588, -0.24544142216706233, 0.024851616566946493, -0.13565260569736795, -0.021637949238088237, -0.052235334632393805, 0.05939000546570542, 0.17684856994366907, -0.30964948084133054, 0.16432008261959638, 0.08249196552251041, 0.04890052863912096, -0.03559977344680324, 1.1449128172351318e-05, -0.049653805363968524, 0.18440718255689575, 0.03514225334036435, 0.014853493685752731, 0.2188025035452351, -0.17020239824772748, -0.09528583674115192, 0.24069451319632454, -0.09294296925417284, -0.19753161282504647, 0.15311411685916115, -0.18507651254100707, -0.0710642804974889, 0.1330115757340077, 0.1676316308807039, 0.03007932173684963, -0.19042484884365637, -0.025513127117202442, 0.02454976803279545, 0.26099587389656786, 0.10446772125133684, 0.0823884960670856, 0.2142292552636665, 0.21144782057149536, -0.03428601786874018, 0.13179035672750686, -0.10079131356538816, -0.09377817523742583, -0.28506152745951147, 0.02884093937870947, -0.2070515438602351, 0.0804333977462855, -0.07855805966215326, -0.1438260778436636, 0.4768051587822802, 0.06213090224734064, 0.25576112333920253, 0.13047130036086424, 0.20146356311454935, 0.16642901431588294, 0.08390370889078573, 0.061462458141726774, 0.20264405216705234, 0.14052446473624955, 0.07719185394099326, -0.2608049820014502, 0.17015540851189673, -0.003064489435151364] |
710.2343 | The radio properties of optically obscured Spitzer sources | This paper analyses the radio properties of a subsample of optically obscured
(R>25.5) galaxies observed at 24um by the Spitzer Space Telescope within the
First Look Survey. 96 F[24um]>0.35 mJy objects out of 510 are found to have a
radio counterpart at 1.4 GHz, 610 MHz or at both frequencies respectively down
to ~40uJy and ~200uJy. IRAC photometry sets the majority of them in the
redshift interval z [1-3] and allows for a broad distinction between
AGN-dominated galaxies (~47% of the radio-identified sample) and systems
powered by intense star-formation (~13%), the remaining objects being
impossible to classify. The percentage of radio identifications is a strong
function of 24um flux. The radio number counts at both radio frequencies
suggest that the physical process(es) responsible for radio activity in these
objects have a common origin regardless of whether the source shows mid-IR
emission compatible with being an obscured AGN or a star-forming galaxy. We
also find that both candidate AGN and star-forming systems follow (although
with a large scatter) the relationship between 1.4 GHz and 24um fluxes reported
by Appleton et al. (2004) which identifies sources undergoing intense star
formation activity. On the other hand, the inferred radio spectral indices
alpha indicate that a large fraction of objects in our sample (~60% of all
galaxies with estimated alpha) may belong to the population of Ultra Steep
Spectrum (USS) Sources, typically 'frustrated' radio-loud AGN. We interpret our
findings as a strong indication for concurrent AGN and star-forming activity,
whereby the 1.4 GHz flux is of thermal origin, while that at 610 GHz mainly
stems from the nuclear source.
| astro-ph | this paper analyses the radio properties of a subsample of optically obscured r255 galaxies observed at 24um by the spitzer space telescope within the first look survey 96 f24um035 mjy objects out of 510 are found to have a radio counterpart at 14 ghz 610 mhz or at both frequencies respectively down to 40ujy and 200ujy irac photometry sets the majority of them in the redshift interval z 13 and allows for a broad distinction between agndominated galaxies 47 of the radioidentified sample and systems powered by intense starformation 13 the remaining objects being impossible to classify the percentage of radio identifications is a strong function of 24um flux the radio number counts at both radio frequencies suggest that the physical processes responsible for radio activity in these objects have a common origin regardless of whether the source shows midir emission compatible with being an obscured agn or a starforming galaxy we also find that both candidate agn and starforming systems follow although with a large scatter the relationship between 14 ghz and 24um fluxes reported by appleton et al 2004 which identifies sources undergoing intense star formation activity on the other hand the inferred radio spectral indices alpha indicate that a large fraction of objects in our sample 60 of all galaxies with estimated alpha may belong to the population of ultra steep spectrum uss sources typically frustrated radioloud agn we interpret our findings as a strong indication for concurrent agn and starforming activity whereby the 14 ghz flux is of thermal origin while that at 610 ghz mainly stems from the nuclear source | [['this', 'paper', 'analyses', 'the', 'radio', 'properties', 'of', 'a', 'subsample', 'of', 'optically', 'obscured', 'r255', 'galaxies', 'observed', 'at', '24um', 'by', 'the', 'spitzer', 'space', 'telescope', 'within', 'the', 'first', 'look', 'survey', '96', 'f24um035', 'mjy', 'objects', 'out', 'of', '510', 'are', 'found', 'to', 'have', 'a', 'radio', 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710.2344 | Measurement of Upsilon Production for p+p and p+d Interactions at 800
GeV | We report a high statistics measurement of Upsilon production with an 800
GeV/c proton beam on hydrogen and deuterium targets. The dominance of the
gluon-gluon fusion process for Upsilon production at this energy implies that
the cross section ratio, $\sigma (p + d \to \Upsilon) / 2\sigma (p + p\to
\Upsilon)$, is sensitive to the gluon content in the neutron relative to that
in the proton. Over the kinematic region 0 < x_F < 0.6, this ratio is found to
be consistent with unity, in striking contrast to the behavior of the Drell-Yan
cross section ratio $\sigma(p+d)_{DY}/2\sigma(p+p)_{DY}$. This result shows
that the gluon distributions in the proton and neutron are very similar. The
Upsilon production cross sections are also compared with the p+d and p+Cu cross
sections from earlier measurements.
| hep-ex | we report a high statistics measurement of upsilon production with an 800 gevc proton beam on hydrogen and deuterium targets the dominance of the gluongluon fusion process for upsilon production at this energy implies that the cross section ratio sigma p d to upsilon 2sigma p pto upsilon is sensitive to the gluon content in the neutron relative to that in the proton over the kinematic region 0 x_f 06 this ratio is found to be consistent with unity in striking contrast to the behavior of the drellyan cross section ratio sigmapd_dy2sigmapp_dy this result shows that the gluon distributions in the proton and neutron are very similar the upsilon production cross sections are also compared with the pd and pcu cross sections from earlier measurements | [['we', 'report', 'a', 'high', 'statistics', 'measurement', 'of', 'upsilon', 'production', 'with', 'an', '800', 'gevc', 'proton', 'beam', 'on', 'hydrogen', 'and', 'deuterium', 'targets', 'the', 'dominance', 'of', 'the', 'gluongluon', 'fusion', 'process', 'for', 'upsilon', 'production', 'at', 'this', 'energy', 'implies', 'that', 'the', 'cross', 'section', 'ratio', 'sigma', 'p', 'd', 'to', 'upsilon', '2sigma', 'p', 'pto', 'upsilon', 'is', 'sensitive', 'to', 'the', 'gluon', 'content', 'in', 'the', 'neutron', 'relative', 'to', 'that', 'in', 'the', 'proton', 'over', 'the', 'kinematic', 'region', '0', 'x_f', '06', 'this', 'ratio', 'is', 'found', 'to', 'be', 'consistent', 'with', 'unity', 'in', 'striking', 'contrast', 'to', 'the', 'behavior', 'of', 'the', 'drellyan', 'cross', 'section', 'ratio', 'sigmapd_dy2sigmapp_dy', 'this', 'result', 'shows', 'that', 'the', 'gluon', 'distributions', 'in', 'the', 'proton', 'and', 'neutron', 'are', 'very', 'similar', 'the', 'upsilon', 'production', 'cross', 'sections', 'are', 'also', 'compared', 'with', 'the', 'pd', 'and', 'pcu', 'cross', 'sections', 'from', 'earlier', 'measurements']] | [-0.038834032405453224, 0.20190549216474005, -0.10929039878124792, 0.10479852074770186, 0.04093109373559033, -0.07376798889045828, 0.01945140932859372, 0.35377694861662967, -0.19578182271441386, -0.24473545871554844, -0.1056296695925055, -0.35310246507006304, 0.07755073332302873, 0.15371282799770275, 0.0445208987425318, 0.08305545230471198, 0.11638443454379035, 0.0648260444530376, -0.032408993910892955, -0.20632133406263986, 0.340847714376005, 0.11145612743172434, 0.25427902620586174, 0.19022497075099137, 0.011008354722552242, 0.05621493174206285, -0.039527808094956735, -0.055597804207918086, -0.15913998931565373, 0.0573634511806191, 0.29010185210650125, 0.054545796675337176, 0.05490370618645102, -0.2817901159606634, -0.06502111115673136, 0.11537933521603624, 0.13096930024274175, 0.045870385074522346, -0.02360965766391957, -0.22800114515778278, 0.13008794264544943, -0.24274683006167894, -0.10424442978804901, -0.0035505000456807112, 0.07767396608758118, 0.005878225320033849, -0.32200764651380237, 0.08434372026292089, -0.02500744514145481, 0.0353038449182115, -0.054351654949582995, -0.25244001971722974, -0.07298819051356986, -0.021190731129008194, 0.11399887848036146, 0.14315334811521274, 0.20933658121559287, -0.16895947953303075, -0.12642186137682368, 0.36676525871359533, -0.07132381925569667, -0.15381027686019097, 0.15235990415807935, -0.2746364668822817, -0.14448962832665851, 0.2389517507530869, 0.20432598463582596, 0.12382899109469427, -0.13611333714347454, 0.04212241058637794, 0.00010333805074614864, 0.19851945736633253, 0.13948063356726761, 0.021676392531052472, 0.14607291775304945, 0.19198060181036952, -0.023523196521695825, 0.04516271540741136, -0.17895140905954665, -0.036914792623476037, -0.3858662565434051, -0.14095389076899137, -0.006421980830172317, 0.10149058299852655, -0.05907599386844067, -0.04682821852545584, 0.2552236544283768, 0.04075263867132655, 0.34175129422181916, 0.023994970696813035, 0.3389389926770462, 0.15205512988858014, 0.03898392083318604, 0.030709233225112962, 0.3288658600781233, 0.23007954979285358, 0.17007954772317693, -0.2271549876670413, 0.10259205073628935, -0.009617427700094038] |
710.2345 | Visual Observability of the Cassiopeia A Supernova | It is generally believed that the explosion which gave birth to the
Cassiopeia A supernova remmant resulted from core collapse of a
hydrogen-deficient star. A progenitor that has lost all its hydrogen envelope
and part of its helium envelope would lead to an explosion with the optical
properties of a Type Ic supernova. There is evidence, if not general agreement,
that Flamsteed observed the Cas A supernova as a sixth magnitude object in
August, 1680. If an explosion with a typical SNIc light curve at the position
and distance of Cas A attained maximum luminosity during the winter of
1679-1680, it would at that time have been poorly situated for visual
observation, as its upper culmination would have taken place during daylight,
while in August, between 170-200 days after peak luminosity, it would have been
a sixth magnitude star.
| astro-ph | it is generally believed that the explosion which gave birth to the cassiopeia a supernova remmant resulted from core collapse of a hydrogendeficient star a progenitor that has lost all its hydrogen envelope and part of its helium envelope would lead to an explosion with the optical properties of a type ic supernova there is evidence if not general agreement that flamsteed observed the cas a supernova as a sixth magnitude object in august 1680 if an explosion with a typical snic light curve at the position and distance of cas a attained maximum luminosity during the winter of 16791680 it would at that time have been poorly situated for visual observation as its upper culmination would have taken place during daylight while in august between 170200 days after peak luminosity it would have been a sixth magnitude star | [['it', 'is', 'generally', 'believed', 'that', 'the', 'explosion', 'which', 'gave', 'birth', 'to', 'the', 'cassiopeia', 'a', 'supernova', 'remmant', 'resulted', 'from', 'core', 'collapse', 'of', 'a', 'hydrogendeficient', 'star', 'a', 'progenitor', 'that', 'has', 'lost', 'all', 'its', 'hydrogen', 'envelope', 'and', 'part', 'of', 'its', 'helium', 'envelope', 'would', 'lead', 'to', 'an', 'explosion', 'with', 'the', 'optical', 'properties', 'of', 'a', 'type', 'ic', 'supernova', 'there', 'is', 'evidence', 'if', 'not', 'general', 'agreement', 'that', 'flamsteed', 'observed', 'the', 'cas', 'a', 'supernova', 'as', 'a', 'sixth', 'magnitude', 'object', 'in', 'august', '1680', 'if', 'an', 'explosion', 'with', 'a', 'typical', 'snic', 'light', 'curve', 'at', 'the', 'position', 'and', 'distance', 'of', 'cas', 'a', 'attained', 'maximum', 'luminosity', 'during', 'the', 'winter', 'of', '16791680', 'it', 'would', 'at', 'that', 'time', 'have', 'been', 'poorly', 'situated', 'for', 'visual', 'observation', 'as', 'its', 'upper', 'culmination', 'would', 'have', 'taken', 'place', 'during', 'daylight', 'while', 'in', 'august', 'between', '170200', 'days', 'after', 'peak', 'luminosity', 'it', 'would', 'have', 'been', 'a', 'sixth', 'magnitude', 'star']] | [-0.055463223949237896, 0.1016619514933546, -0.1269413595985159, 0.08199409687684264, -0.11730011771891918, -0.11070188716475438, 0.06940071828948864, 0.3986149097616057, -0.185069277610657, -0.32391198373732777, 0.15072114597564143, -0.27589190028009625, -0.04598758349970092, 0.2139700995146358, -0.05373212605388495, -0.08457787608325033, 0.16155326174041867, 0.04889813168178292, -0.09906642467979968, -0.2864906374147556, 0.24247948668750996, 0.1126309310487152, 0.16338722581676052, 0.014165030129552975, 0.09408312659357151, -0.10058409390957469, 0.016355335964807684, -0.08851819486785543, -0.09296926593065541, -0.0007447437876087689, 0.21345342661457622, 0.19364362721497969, 0.2416096691273316, -0.4003923500813272, -0.2429905151752891, 0.13485774435238898, 0.17992406832326177, 0.03198261465282472, -0.05817939270029429, -0.2339985714681501, 0.04506222256561265, -0.2391935495360598, -0.15949831370019565, 0.12607973943851944, 0.13573213269675735, -0.006171603232492985, -0.19903380488110095, 0.08524082082045013, 0.044743266298238486, 0.06807950559479226, -0.07846160162576767, -0.09151288491408646, -0.0584068930687478, 0.07004331373847532, 0.03022299449632529, 0.10007177455432333, 0.06868221869447479, -0.11722805889418525, -0.014026269568198354, 0.4176646064708594, -0.029897015596175715, 0.07019129787048284, 0.22261720896362036, -0.1759910251449005, -0.13275961756339147, 0.20435648403354806, 0.12009719038980395, 0.05948776828233887, -0.1485427943309837, -0.020628528964338675, -0.013458405468395374, 0.19964112956620697, 0.08688525780253656, 0.02824042403905221, 0.3252271454522971, 0.16323548269519297, 0.020611346534446535, 0.0752985502090169, -0.20041476395728924, -0.02967785757007825, -0.2610774960124145, -0.0913986891264225, -0.15496239346965304, 0.12321530296613827, -0.07042632569762008, -0.1354761096363357, 0.3181418341373766, 0.057395681874812955, 0.1945083239812567, -0.03872982006142745, 0.22526574276904338, 0.11144421817768828, 0.10064814081007656, 0.11667338657417219, 0.35698526564740785, 0.14714330559881933, 0.1840085713889613, -0.19213754580233816, 0.1615811890079538, 0.0536106033930487] |
710.2346 | Hilbert Functions of Filtered Modules | In this presentation we shall deal with some aspects of the theory of Hilbert
functions of modules over local rings, and we intend to guide the reader along
one of the possible routes through the last three decades of progress in this
area of dynamic mathematical activity. Motivated by the ever increasing
interest in this field, our goal is to gather together many new developments of
this theory into one place, and to present them using a unifying approach which
gives self-contained and easier proofs. In this text we shall discuss many
results by different authors, following essentially the direction typified by
the pioneering work of J. Sally. Our personal view of the subject is most
visibly expressed by the presentation of Chapters 1 and 2 in which we discuss
the use of the superficial elements and related devices. Basic techniques will
be stressed with the aim of reproving recent results by using a more elementary
approach. Over the past few years several papers have appeared which extend
classical results on the theory of Hilbert functions to the case of filtered
modules. The extension of the theory to the case of general filtrations on a
module has one more important motivation. Namely, we have interesting
applications to the study of graded algebras which are not associated to a
filtration, in particular the Fiber cone and the Sally-module. We show here
that each of these algebras fits into certain short exact sequences, together
with algebras associated to filtrations. Hence one can study the Hilbert
function and the depth of these algebras with the aid of the know-how we got in
the case of a filtration.
| math.AC math.AG | in this presentation we shall deal with some aspects of the theory of hilbert functions of modules over local rings and we intend to guide the reader along one of the possible routes through the last three decades of progress in this area of dynamic mathematical activity motivated by the ever increasing interest in this field our goal is to gather together many new developments of this theory into one place and to present them using a unifying approach which gives selfcontained and easier proofs in this text we shall discuss many results by different authors following essentially the direction typified by the pioneering work of j sally our personal view of the subject is most visibly expressed by the presentation of chapters 1 and 2 in which we discuss the use of the superficial elements and related devices basic techniques will be stressed with the aim of reproving recent results by using a more elementary approach over the past few years several papers have appeared which extend classical results on the theory of hilbert functions to the case of filtered modules the extension of the theory to the case of general filtrations on a module has one more important motivation namely we have interesting applications to the study of graded algebras which are not associated to a filtration in particular the fiber cone and the sallymodule we show here that each of these algebras fits into certain short exact sequences together with algebras associated to filtrations hence one can study the hilbert function and the depth of these algebras with the aid of the knowhow we got in the case of a filtration | [['in', 'this', 'presentation', 'we', 'shall', 'deal', 'with', 'some', 'aspects', 'of', 'the', 'theory', 'of', 'hilbert', 'functions', 'of', 'modules', 'over', 'local', 'rings', 'and', 'we', 'intend', 'to', 'guide', 'the', 'reader', 'along', 'one', 'of', 'the', 'possible', 'routes', 'through', 'the', 'last', 'three', 'decades', 'of', 'progress', 'in', 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'aid', 'of', 'the', 'knowhow', 'we', 'got', 'in', 'the', 'case', 'of', 'a', 'filtration']] | [-0.09304057051587147, 0.06524062435732875, -0.0975714722757429, 0.03383797288901299, -0.08417747116514615, -0.09821755379001736, -9.620139262751563e-05, 0.36131440102030615, -0.3012362244686507, -0.2549055813856068, 0.1277199675501307, -0.25487192140059756, -0.17629101846879688, 0.22154914917067825, -0.12643187779390797, -0.002186352633120622, 0.050277391651597544, 0.06187712965488788, -0.07215570370626598, -0.30405426687806597, 0.3636033848421, 0.040792817435817516, 0.22534959588420317, 0.051053308260937534, 0.07087376789316098, 0.03539160741731907, -0.09603854815301659, 0.018825961761739472, -0.1723516757674688, 0.21090361404474892, 0.28136381957911966, 0.11900148394725699, 0.30357258246474705, -0.45397463068707195, -0.17705250905669762, 0.08338054738624956, 0.12922380419896623, 0.09431496431448518, -0.03382900457425408, -0.2541989994946622, 0.0840358952168655, -0.19272889827988743, 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710.2347 | Ramsey degrees of finite ultrametric spaces, ultrametric Urysohn spaces
and dynamics of their isometry groups | We study Ramsey-theoretic properties of several natural classes of finite
ultrametric spaces, describe the corresponding Urysohn spaces and compute a
dynamical invariant attached to their isometry groups.
| math.CO math.LO | we study ramseytheoretic properties of several natural classes of finite ultrametric spaces describe the corresponding urysohn spaces and compute a dynamical invariant attached to their isometry groups | [['we', 'study', 'ramseytheoretic', 'properties', 'of', 'several', 'natural', 'classes', 'of', 'finite', 'ultrametric', 'spaces', 'describe', 'the', 'corresponding', 'urysohn', 'spaces', 'and', 'compute', 'a', 'dynamical', 'invariant', 'attached', 'to', 'their', 'isometry', 'groups']] | [-0.14325157759918106, 0.14642180538201635, -0.15421845884648738, 0.2241648224837802, -0.11899514432513604, -0.04717603236592064, -0.018681014439573995, 0.3959967044216615, -0.3810887179440922, -0.19575866008246387, 0.14541470381879695, -0.2500817745372101, -0.15673336392716952, 0.17445272452163477, -0.13814924329657247, 0.04120103794115561, -0.004662300822221571, 0.12228007111008521, -0.23364240769296885, -0.2625185415079748, 0.46692093158209763, -0.08927002385327662, 0.25537684601214194, -0.05233944317808858, 0.15322324488725927, -0.0021899481459210315, -0.0697639469333269, 0.02016076347273257, -0.24674864565194757, 0.19813350118972636, 0.2947632371689434, 0.055634541575003554, 0.21301196074044262, -0.2840699992246098, -0.1681505768318419, 0.26595932576391434, 0.057178689649811494, -0.028339413581071077, -0.016281399496451573, -0.3804374556229622, 0.09106342956699708, -0.15152768024967778, -0.14951359666883945, -0.16772487704400663, 0.06525485479721317, 0.022433389866448664, -0.1521329961165234, -0.08151644761501639, 0.0958530187587409, 0.0976389519939268, -0.1428302576834405, -0.027154175944074436, -0.010747226610503815, 0.17176962107488955, 0.0038055786518035113, -0.006672775950627746, 0.14010447099873866, 0.008291050239845558, -0.15193411973477514, 0.4202698278758261, -0.023522132434192353, -0.22744876656819274, 0.22489922742048898, -0.16068151841561, -0.22223760394586456, 0.06475843239092717, 0.20731355994939804, 0.15588067984208465, -0.06453334833322852, 0.21799203394524133, -0.14247302248798036, 0.036496317807447026, 0.09815200500155764, 0.13489703447730453, 0.07236500739775321, 0.08069872021399162, 0.10577417899751002, 0.22982689103594534, 0.09425423832403289, -0.0587790657516086, -0.3101401028699776, -0.19376644292087467, -0.09207460664523144, 0.11344419475817294, -0.14883216620472484, -0.2613965442697345, 0.39274054186211693, 0.06446932697737659, 0.18969058785242615, 0.16182481839011112, 0.1274095760934331, -0.04375762975326291, 0.02735699615786197, 0.023085008513320376, 0.07162502352838163, 0.27910037945818017, -0.07192527230277106, -0.17891477282952378, -0.06667235593690916, 0.26324392261880414] |
710.2348 | Memory Effects in Spin Chain Channels for Information Transmission | We investigate the multiple use of a ferromagnetic spin chain for quantum and
classical communications without resetting. We find that the memory of the
state transmitted during the first use makes the spin chain a qualitatively
different quantum channel during the second transmission, for which we find the
relevant Kraus operators. We propose a parameter to quantify the amount of
memory in the channel and find that it influences the quality of the channel,
as reflected through fidelity and entanglement transmissible during the second
use. For certain evolution times, the memory allows the channel to exceed the
memoryless classical capacity (achieved by separable inputs) and in some cases
it can also enhance the quantum capacity.
| quant-ph | we investigate the multiple use of a ferromagnetic spin chain for quantum and classical communications without resetting we find that the memory of the state transmitted during the first use makes the spin chain a qualitatively different quantum channel during the second transmission for which we find the relevant kraus operators we propose a parameter to quantify the amount of memory in the channel and find that it influences the quality of the channel as reflected through fidelity and entanglement transmissible during the second use for certain evolution times the memory allows the channel to exceed the memoryless classical capacity achieved by separable inputs and in some cases it can also enhance the quantum capacity | [['we', 'investigate', 'the', 'multiple', 'use', 'of', 'a', 'ferromagnetic', 'spin', 'chain', 'for', 'quantum', 'and', 'classical', 'communications', 'without', 'resetting', 'we', 'find', 'that', 'the', 'memory', 'of', 'the', 'state', 'transmitted', 'during', 'the', 'first', 'use', 'makes', 'the', 'spin', 'chain', 'a', 'qualitatively', 'different', 'quantum', 'channel', 'during', 'the', 'second', 'transmission', 'for', 'which', 'we', 'find', 'the', 'relevant', 'kraus', 'operators', 'we', 'propose', 'a', 'parameter', 'to', 'quantify', 'the', 'amount', 'of', 'memory', 'in', 'the', 'channel', 'and', 'find', 'that', 'it', 'influences', 'the', 'quality', 'of', 'the', 'channel', 'as', 'reflected', 'through', 'fidelity', 'and', 'entanglement', 'transmissible', 'during', 'the', 'second', 'use', 'for', 'certain', 'evolution', 'times', 'the', 'memory', 'allows', 'the', 'channel', 'to', 'exceed', 'the', 'memoryless', 'classical', 'capacity', 'achieved', 'by', 'separable', 'inputs', 'and', 'in', 'some', 'cases', 'it', 'can', 'also', 'enhance', 'the', 'quantum', 'capacity']] | [-0.15885416941474315, 0.150775892238902, -0.0320544758244701, 0.04950203568796101, -0.028310682667095376, -0.1633048329623821, 0.10978633459535954, 0.3622133680173884, -0.30887301234204484, -0.25866146199405193, 0.11083158273249864, -0.22694855043474768, -0.12817349103886796, 0.19352201886637055, -0.0485189319304798, 0.07343122688648493, 0.06393383087023445, 0.09888061467234208, -0.06441682754894314, -0.2518012827201544, 0.3071815334746371, 0.05880203591355973, 0.29163219126563966, 0.03625602488122556, 0.10744885379529517, 0.07136782805394867, 0.006167956433542397, -0.07179979691776996, -0.13344263707796294, 0.05728181428478464, 0.22291000890343085, 0.10703289779712973, 0.235277533336826, -0.464619096984034, -0.2580129529794921, 0.1050589351185962, 0.10995755840356097, 0.16009120301687685, -0.01010765520369877, -0.2694852703129468, 0.054741142196175846, -0.21121806763112544, -0.043271128626783256, -0.07344478533157836, -0.025008343710847522, -0.00794672484955062, -0.27970347503281157, 0.0826729450959449, 0.07023293822396384, -0.01790241352080003, -0.015882163491282287, -0.056059239986960004, -0.01881034435785335, 0.18624890342192804, -0.013709993595662323, -0.02414309216420288, 0.11414847652954252, -0.1486900375670065, -0.12198441076375868, 0.3157049455396507, -0.06692230976794077, -0.18396253188586106, 0.16095703903626166, -0.1454593014417459, -0.07694240469161583, 0.10158444713477208, 0.17496986065019407, 0.06913892994027422, -0.15339547956119412, 0.04540335947202276, 0.02206149193984659, 0.20601761733262758, 0.04625720623880625, 0.12066165207196837, 0.1732731036669777, 0.11504335655304401, 0.058758332729137136, 0.24796345966017763, -0.1335483264663945, -0.17013401542587772, -0.2667731048341881, -0.22232373588435028, -0.20787577097020718, 0.06177860592370448, -0.08126977536695726, -0.08806354870776767, 0.4044586593447172, 0.1927310215881374, 0.17341057375711186, 0.07293660283675822, 0.2983876160548433, 0.10544158769265304, 0.07242178129761115, 0.10412369362918822, 0.23597231722644368, 0.12322604194809886, 0.13306264924290387, -0.29115165657940845, 0.11050582686034234, -0.027552487944131312] |
710.2349 | 2D Multipartite Valence Bond States in Quantum Antiferromagnets | A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice
with the following requirements: i) The Hamiltonian is made out of nearest
neighbour interactions. ii) It is homogeneous, translational and rotational
invariant. iii) The ground state is a real singlet state of SU(2) (non-chiral).
iv) It has a local spin-1 representation. Along the way to characterise the
system, connections with classical statistical mechanics and integrable models
are explored. Finally, the relevance of the model in the physics of low
dimensional anti-ferromagnetic Mott-Hubbard insulators is discussed.
| cond-mat.str-el cond-mat.stat-mech hep-th quant-ph | a quantum antiferromagnetic spin1 model is characterised on a 2d lattice with the following requirements i the hamiltonian is made out of nearest neighbour interactions ii it is homogeneous translational and rotational invariant iii the ground state is a real singlet state of su2 nonchiral iv it has a local spin1 representation along the way to characterise the system connections with classical statistical mechanics and integrable models are explored finally the relevance of the model in the physics of low dimensional antiferromagnetic motthubbard insulators is discussed | [['a', 'quantum', 'antiferromagnetic', 'spin1', 'model', 'is', 'characterised', 'on', 'a', '2d', 'lattice', 'with', 'the', 'following', 'requirements', 'i', 'the', 'hamiltonian', 'is', 'made', 'out', 'of', 'nearest', 'neighbour', 'interactions', 'ii', 'it', 'is', 'homogeneous', 'translational', 'and', 'rotational', 'invariant', 'iii', 'the', 'ground', 'state', 'is', 'a', 'real', 'singlet', 'state', 'of', 'su2', 'nonchiral', 'iv', 'it', 'has', 'a', 'local', 'spin1', 'representation', 'along', 'the', 'way', 'to', 'characterise', 'the', 'system', 'connections', 'with', 'classical', 'statistical', 'mechanics', 'and', 'integrable', 'models', 'are', 'explored', 'finally', 'the', 'relevance', 'of', 'the', 'model', 'in', 'the', 'physics', 'of', 'low', 'dimensional', 'antiferromagnetic', 'motthubbard', 'insulators', 'is', 'discussed']] | [-0.1487680994797238, 0.19611033721458773, -0.02541711100520631, 0.08641430522385594, -0.060385996846720406, -0.2247470376449962, 0.0058571421839080234, 0.3827459145294026, -0.249573947823888, -0.21918610312304523, 0.06686250269304701, -0.3062007382057261, -0.13017641744836297, 0.0832618418701946, 0.0693899326021025, 0.03324259102864321, 0.008387393989535264, 0.07134858010672467, -0.1336017425064076, -0.2503571262106646, 0.2906199734506392, -0.007950789101562614, 0.2749312805704946, 0.002656218352058204, 0.09712455963694253, 0.0001806644966479304, 0.06466271568544556, -0.004171383588813072, -0.12059194817705902, 0.08931979180725161, 0.209426169198957, 0.015112846028492895, 0.18336202222637313, -0.37363820481872145, -0.20056539038358645, 0.06628718818158864, 0.1060998750319921, 0.16612685165844512, -0.008048551545619185, -0.36036171079721563, 0.017839146853792807, -0.187632535178171, -0.1565607649681624, -0.11176633062842843, 0.005270069638310477, -0.03324662986059868, -0.22605001966490648, 0.10278767150783436, 0.0997428372339887, 0.1107519180730505, -0.08373652270258686, -0.08308375886841786, -0.09285783940969511, 0.06415136434885045, 0.004636598496459598, 0.05319019703757624, 0.07561267354677237, -0.16192078649793645, -0.1489088959602076, 0.43628153328372293, -0.02583369793882052, -0.2038628562748822, 0.2391316949113727, -0.11591306702926928, -0.12159340212468145, 0.09892278483007537, 0.07371366643184406, 0.03881982592649238, -0.13676600977453554, 0.1813628052399889, -0.033778215346987855, 0.14719803124492944, -0.086261383003317, 0.03246023257934423, 0.27942189686325225, 0.1940742906529543, 0.04096394429134941, 0.1588600090499101, -0.09501228404101418, -0.20527425009843914, -0.2884998203493481, -0.19169171560869747, -0.2433921527713104, 0.0663654858159811, -0.04209681509332028, -0.1524361855848584, 0.418599845614111, 0.1276801290507645, 0.1608432971894048, -0.024229117853263784, 0.22596659860032242, 0.09688260271972002, 0.027182382092876142, 0.01979881346491057, 0.24184194709672485, 0.19382265972536664, 0.07752904529293436, -0.22810901706865014, 0.005434175354948397, 0.09462845741451696] |
710.235 | A Search for Prompt Very High Energy Emission from Satellite-detected
Gamma-ray Bursts using Milagro | Gamma-ray bursts (GRBs) have been detected up to GeV energies and are
predicted by many models to emit in the very high energy (VHE, > 100 GeV)
regime too. Detection of such emission would allow us to constrain GRB models.
Since its launch, in late 2004, the Swift satellite has been locating GRBs at a
rate of approximately 100 per year. The rapid localization and follow-up in
many wavelengths has revealed new and unexpected phenomena, such as delayed
emission in the form of bright X-ray flares. The Milagro gamma-ray observatory
is a wide field of view (2 sr) instrument employing a water Cherenkov detector
to continuously ($>$ 90% duty cycle) observe the overhead sky in the 100 GeV to
100 TeV energy range. Over 100 GRBs are known to have been in the field of view
of Milagro since January 2000, including 57 since the launch of Swift (through
May 2007). We discuss the results of the searches for prompt emission from
these bursts, as well as for delayed emission from the X-ray flares observed in
some of the Swift bursts.
| astro-ph | gammaray bursts grbs have been detected up to gev energies and are predicted by many models to emit in the very high energy vhe 100 gev regime too detection of such emission would allow us to constrain grb models since its launch in late 2004 the swift satellite has been locating grbs at a rate of approximately 100 per year the rapid localization and followup in many wavelengths has revealed new and unexpected phenomena such as delayed emission in the form of bright xray flares the milagro gammaray observatory is a wide field of view 2 sr instrument employing a water cherenkov detector to continuously 90 duty cycle observe the overhead sky in the 100 gev to 100 tev energy range over 100 grbs are known to have been in the field of view of milagro since january 2000 including 57 since the launch of swift through may 2007 we discuss the results of the searches for prompt emission from these bursts as well as for delayed emission from the xray flares observed in some of the swift bursts | [['gammaray', 'bursts', 'grbs', 'have', 'been', 'detected', 'up', 'to', 'gev', 'energies', 'and', 'are', 'predicted', 'by', 'many', 'models', 'to', 'emit', 'in', 'the', 'very', 'high', 'energy', 'vhe', '100', 'gev', 'regime', 'too', 'detection', 'of', 'such', 'emission', 'would', 'allow', 'us', 'to', 'constrain', 'grb', 'models', 'since', 'its', 'launch', 'in', 'late', '2004', 'the', 'swift', 'satellite', 'has', 'been', 'locating', 'grbs', 'at', 'a', 'rate', 'of', 'approximately', '100', 'per', 'year', 'the', 'rapid', 'localization', 'and', 'followup', 'in', 'many', 'wavelengths', 'has', 'revealed', 'new', 'and', 'unexpected', 'phenomena', 'such', 'as', 'delayed', 'emission', 'in', 'the', 'form', 'of', 'bright', 'xray', 'flares', 'the', 'milagro', 'gammaray', 'observatory', 'is', 'a', 'wide', 'field', 'of', 'view', '2', 'sr', 'instrument', 'employing', 'a', 'water', 'cherenkov', 'detector', 'to', 'continuously', '90', 'duty', 'cycle', 'observe', 'the', 'overhead', 'sky', 'in', 'the', '100', 'gev', 'to', '100', 'tev', 'energy', 'range', 'over', '100', 'grbs', 'are', 'known', 'to', 'have', 'been', 'in', 'the', 'field', 'of', 'view', 'of', 'milagro', 'since', 'january', '2000', 'including', '57', 'since', 'the', 'launch', 'of', 'swift', 'through', 'may', '2007', 'we', 'discuss', 'the', 'results', 'of', 'the', 'searches', 'for', 'prompt', 'emission', 'from', 'these', 'bursts', 'as', 'well', 'as', 'for', 'delayed', 'emission', 'from', 'the', 'xray', 'flares', 'observed', 'in', 'some', 'of', 'the', 'swift', 'bursts']] | [-0.05174706634244616, 0.18735985451913828, -0.018538485104270155, 0.16750262238608163, -0.10378747598876834, -0.10039023277948106, 0.042157740926619766, 0.46534641903913554, -0.17778253540469532, -0.4330587698843892, 0.07323814858227198, -0.35518189737125816, 0.0176914542778161, 0.3003185192063222, -0.006606488590071488, 0.023262748589372398, 0.10343433276414558, -0.07259072507627558, -0.018759892181644228, -0.24141688147161738, 0.15445923346274287, 0.19931214944818498, 0.18572311665568184, 0.048185149176493705, 0.10468060120045307, -0.05701248869612064, -0.035586707031239846, -0.08773966507684419, -0.06604055639593108, -0.001763102746771534, 0.2912295865870615, 0.13341705535028608, 0.2010997072481368, -0.3655165431698441, -0.28264222395549105, 0.11495985612130136, 0.1244186416434842, -0.02794106086643215, -0.023539452626260633, -0.3258822712703873, 0.060909518258426304, -0.23822512685753114, -0.1436962754694568, 0.06693807683947532, 0.06711474976596012, 0.06995986984241441, -0.14681463350422222, 0.053889185036714686, -0.03536381014927119, 0.06348213496781865, -0.10042092352442172, -0.009118331211239266, 0.01546109197062945, 0.03141646951374561, 0.1159281923302954, 0.07052538922191831, 0.12295751221602856, -0.12598861447943885, -0.13634326567030486, 0.3925478638217436, -0.03503988774404887, 0.10076533148699966, 0.23052269942777534, -0.23305980050832284, -0.2114881056064334, 0.27282704099981564, 0.175373436685381, 0.0843665636464558, -0.1760453411986708, 0.019818113569505826, 0.025047312818425992, 0.19200754386643415, 0.10034343418691245, 0.08896118505238737, 0.2782326261590979, 0.1593448369563479, 0.035179777746609096, 0.09133966189715491, -0.3092223390177225, 0.011934297045500293, -0.2700098238094559, -0.07879521971563262, -0.14112578116633082, 0.14459949035155872, -0.02303471912308947, -0.07795367909428877, 0.44000528525826443, 0.11225179350588929, 0.1951661108948769, 0.012315268169141599, 0.22877832398328452, 0.06531577354216396, 0.08960130799356224, 0.10389053815060072, 0.4153562980587269, 0.08131598274473247, 0.1710487769327423, -0.10235951531303827, 0.05985924842840258, -0.028272758474750394] |
710.2351 | The Red-Sequence Luminosity Function in Galaxy Clusters since z~1 | We use a statistical sample of ~500 rich clusters taken from 72 square
degrees of the Red-Sequence Cluster Survey (RCS-1) to study the evolution of
~30,000 red-sequence galaxies in clusters over the redshift range 0.35<z<0.95.
We construct red-sequence luminosity functions (RSLFs) for a well-defined,
homogeneously selected, richness limited sample. The RSLF at higher redshifts
shows a deficit of faint red galaxies (to M_V=> -19.7) with their numbers
increasing towards the present epoch. This is consistent with the `down-sizing`
picture in which star-formation ended at earlier times for the most massive
(luminous) galaxies and more recently for less massive (fainter) galaxies. We
observe a richness dependence to the down-sizing effect in the sense that, at a
given redshift, the drop-off of faint red galaxies is greater for poorer (less
massive) clusters, suggesting that star-formation ended earlier for galaxies in
more massive clusters. The decrease in faint red-sequence galaxies is
accompanied by an increase in faint blue galaxies, implying that the process
responsible for this evolution of faint galaxies is the termination of
star-formation, possibly with little or no need for merging. At the bright end,
we also see an increase in the number of blue galaxies with increasing
redshift, suggesting that termination of star-formation in higher mass galaxies
may also be an important formation mechanism for higher mass ellipticals. By
comparing with a low-redshift Abell Cluster sample, we find that the
down-sizing trend seen within RCS-1 has continued to the local universe.
| astro-ph | we use a statistical sample of 500 rich clusters taken from 72 square degrees of the redsequence cluster survey rcs1 to study the evolution of 30000 redsequence galaxies in clusters over the redshift range 035z095 we construct redsequence luminosity functions rslfs for a welldefined homogeneously selected richness limited sample the rslf at higher redshifts shows a deficit of faint red galaxies to m_v 197 with their numbers increasing towards the present epoch this is consistent with the downsizing picture in which starformation ended at earlier times for the most massive luminous galaxies and more recently for less massive fainter galaxies we observe a richness dependence to the downsizing effect in the sense that at a given redshift the dropoff of faint red galaxies is greater for poorer less massive clusters suggesting that starformation ended earlier for galaxies in more massive clusters the decrease in faint redsequence galaxies is accompanied by an increase in faint blue galaxies implying that the process responsible for this evolution of faint galaxies is the termination of starformation possibly with little or no need for merging at the bright end we also see an increase in the number of blue galaxies with increasing redshift suggesting that termination of starformation in higher mass galaxies may also be an important formation mechanism for higher mass ellipticals by comparing with a lowredshift abell cluster sample we find that the downsizing trend seen within rcs1 has continued to the local universe | [['we', 'use', 'a', 'statistical', 'sample', 'of', '500', 'rich', 'clusters', 'taken', 'from', '72', 'square', 'degrees', 'of', 'the', 'redsequence', 'cluster', 'survey', 'rcs1', 'to', 'study', 'the', 'evolution', 'of', '30000', 'redsequence', 'galaxies', 'in', 'clusters', 'over', 'the', 'redshift', 'range', '035z095', 'we', 'construct', 'redsequence', 'luminosity', 'functions', 'rslfs', 'for', 'a', 'welldefined', 'homogeneously', 'selected', 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'faint', 'blue', 'galaxies', 'implying', 'that', 'the', 'process', 'responsible', 'for', 'this', 'evolution', 'of', 'faint', 'galaxies', 'is', 'the', 'termination', 'of', 'starformation', 'possibly', 'with', 'little', 'or', 'no', 'need', 'for', 'merging', 'at', 'the', 'bright', 'end', 'we', 'also', 'see', 'an', 'increase', 'in', 'the', 'number', 'of', 'blue', 'galaxies', 'with', 'increasing', 'redshift', 'suggesting', 'that', 'termination', 'of', 'starformation', 'in', 'higher', 'mass', 'galaxies', 'may', 'also', 'be', 'an', 'important', 'formation', 'mechanism', 'for', 'higher', 'mass', 'ellipticals', 'by', 'comparing', 'with', 'a', 'lowredshift', 'abell', 'cluster', 'sample', 'we', 'find', 'that', 'the', 'downsizing', 'trend', 'seen', 'within', 'rcs1', 'has', 'continued', 'to', 'the', 'local', 'universe']] | [-0.03838696437613929, 0.1216760260507757, -0.08284482332885641, 0.1330753458928828, -0.10793107156759175, -0.009072204525465099, 0.06675609820933245, 0.47324690218827054, 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710.2352 | Big Ramsey degrees and divisibility in classes of ultrametric spaces | Given a countable set S of positive reals, we study finite-dimensional
Ramsey-theoretic properties of the countable ultrametric Urysohn space with
distances in S.
| math.CO math.LO | given a countable set s of positive reals we study finitedimensional ramseytheoretic properties of the countable ultrametric urysohn space with distances in s | [['given', 'a', 'countable', 'set', 's', 'of', 'positive', 'reals', 'we', 'study', 'finitedimensional', 'ramseytheoretic', 'properties', 'of', 'the', 'countable', 'ultrametric', 'urysohn', 'space', 'with', 'distances', 'in', 's']] | [-0.19691943822671537, 0.17781219756959574, -0.047665920918402466, 0.09954264083796222, -0.14651464290269042, -0.06771459857649777, 0.1294544303546781, 0.35859309333255107, -0.3946499108620312, -0.08184251642745474, 0.04328264649856188, -0.31530566136960103, -0.038864384850730065, 0.14384138576544658, -0.08555773220470418, 0.03553084729482298, 0.06021270941457023, 0.1388667659105166, -0.1332407942770616, -0.3158543344749057, 0.43416539158510126, -0.1325629646687404, 0.1478208172661455, -0.04349678692043475, 0.161641381195058, -0.005506954894846548, -0.05499473465201647, 0.11352995165456693, -0.2686520361786951, 0.12265041332853877, 0.37682377887160884, 0.2264047537970802, 0.31682305005581485, -0.2770589664578438, -0.21762177890733533, 0.3140498976344648, 0.005561771640635055, -0.09646505060727181, 0.02842228649103123, -0.4120415653223577, 0.0693038975334038, -0.14826424849098144, -0.1257002904970685, -0.09783499060279649, 0.22021091292085854, 0.01841936721061559, -0.2430817350421263, -0.04742558041344518, 0.1927579332790945, 0.14706892176004854, -0.08385145854528832, -0.0942706017471526, -0.08319171193136793, 0.00538147728809196, -0.04552620309202567, 0.11117626105576915, 0.013443866278976202, 0.10129155105222827, -0.14102460452072, 0.3809648382922877, -0.13772139787350013, -0.22428164244426982, 0.1305727887007853, -0.2726674058839031, -0.17525329331502967, 0.11161915858721604, 0.11509812133305747, 0.14538244109438814, 0.006342058434434559, 0.33223743396608724, -0.22257967811563742, 0.09397284520547027, 0.08888995234409104, 0.14110071163462556, 0.1027951592012592, 0.15911269868197647, 0.1258220281654402, 0.16372804691934068, 0.08884833753108978, -0.00702971092465779, -0.39082184309549833, -0.12145670037716627, -0.22034448304254076, 0.19575835181319196, -0.18920765995331432, -0.2647808460599702, 0.29624940938842687, 0.0629769190740974, 0.15948951185640434, 0.17524452499397422, 0.1083554763994787, -0.05101584364171646, -0.057664827241197876, 0.10176866108794576, -0.01565309662533843, 0.2305439231188401, -0.1309068305822818, -0.10167644998949507, 0.016287015022143074, 0.2747097403701881] |
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